TSTP Solution File: GRP441-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP441-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n155.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:23:08 EDT 2014
% Result : Unsatisfiable 283.00s
% Output : Refutation 283.00s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP441-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n155.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun 6 13:32:33 CDT 2014
% % CPUTime : 283.00
% Processing problem /tmp/CiME_36499_n155.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3 : constant; multiply : 2; inverse : 1;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D;
% ";
%
% 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 = { inverse(multiply(A,multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(A,C)))))))
% = D } (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]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(D,
% multiply(A,C)))))))
% -> D
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(multiply(D,
% multiply(V_4,C))))),D))))
% -> V_4
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> C
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% inverse(multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,
% multiply(B,D)))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(
% multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),D))))
% -> C
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(C,D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% <->
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8))))))
% Rule
% [3]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> C collapsed.
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [7]
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(
% inverse(C),
% multiply(c3,c3))))))
% -> C
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(C,
% multiply(c3,c3))))))
% <->
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8))))))
% Current number of equations to process: 66
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [9]
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8))))))
% <->
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(C,
% multiply(c3,c3))))))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% ->
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(A,
% multiply(c3,c3))))))
% Rule
% [2]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(multiply(D,
% multiply(V_4,C))))),D))))
% -> V_4 collapsed.
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [11]
% inverse(multiply(c3,multiply(A,multiply(multiply(inverse(A),multiply(c3,
% multiply(
% multiply(
% inverse(c3),c3),
% inverse(multiply(
% inverse(B),
% multiply(c3,c3)))))),
% inverse(multiply(C,B)))))) -> C
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [12]
% multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(
% inverse(A),
% multiply(B,D))))))
% -> A
% Rule
% [7]
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(
% inverse(C),
% multiply(c3,c3))))))
% -> C collapsed.
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [13]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,
% multiply(A,C))))))
% <->
% multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(
% multiply(D,
% multiply(V_4,V_6))))))
% Rule
% [8]
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(C,
% multiply(c3,c3))))))
% <->
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8))))))
% collapsed.
% Rule
% [9]
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8))))))
% <->
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(multiply(C,
% multiply(c3,c3))))))
% collapsed.
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [14]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> C
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [15]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),V_5),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_5)))))))))))
% -> D
% Current number of equations to process: 241
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [16]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(V_4),
% multiply(A,D)))))),
% inverse(multiply(inverse(V_5),V_4))))) -> V_5
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [17]
% multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,multiply(B,D)))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [18]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(C),B)))))
% -> C
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 13
% Rule [10]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% ->
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(
% multiply(A,
% multiply(c3,c3)))))) is composed into
% [10]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% -> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(A,c3)))))
% Rule [6]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% multiply(
% inverse(A),
% multiply(
% multiply(C,D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% <->
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8)))))) is composed into
% [6]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(C,D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3)))))
% New rule produced :
% [19]
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(multiply(C,
% multiply(D,V_5))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% Rule
% [1]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(D,
% multiply(A,C)))))))
% -> D collapsed.
% Rule
% [4]
% inverse(multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,
% multiply(B,D)))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6 collapsed.
% Rule
% [12]
% multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(
% inverse(A),
% multiply(B,D))))))
% -> A collapsed.
% Rule
% [13]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,
% multiply(A,C))))))
% <->
% multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(
% multiply(D,
% multiply(V_4,V_6))))))
% collapsed.
% Rule
% [17]
% multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,multiply(B,D)))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6 collapsed.
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [20]
% inverse(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(D,c3))))))
% -> D
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [21]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(V_4,
% inverse(multiply(
% inverse(C),V_4)))))))))))
% -> D
% Current number of equations to process: 465
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced :
% [22]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(inverse(V_4),C))))),D)))
% -> V_4
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [23]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),C)))),
% inverse(D)))) -> B
% Current number of equations to process: 499
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [24]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D)))))) -> V_4
% Current number of equations to process: 501
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [25]
% inverse(multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,
% inverse(
% multiply(V_4,c3))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6
% Current number of equations to process: 500
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [26]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(V_4,c3))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6
% Current number of equations to process: 499
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [27]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(A,c3))))),
% multiply(V_4,inverse(multiply(inverse(V_5),V_4))))) -> V_5
% Current number of equations to process: 498
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [28]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(
% inverse(D),C)))),
% inverse(D)))) -> A
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [29]
% multiply(inverse(A),multiply(A,multiply(multiply(c3,multiply(c3,inverse(
% multiply(B,c3)))),B)))
% -> c3
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [30]
% multiply(c3,multiply(A,multiply(multiply(inverse(A),multiply(c3,inverse(
% multiply(B,c3)))),B)))
% -> c3
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [31]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3)))))
% Current number of equations to process: 566
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [32]
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3))))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [33]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% Current number of equations to process: 567
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [34]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [35]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))))),
% inverse(multiply(V_5,V_4)))),V_5)))
% -> C
% Current number of equations to process: 565
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [36]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(inverse(C)),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> C
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [37]
% multiply(c3,multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% multiply(C,c3)))),C))),
% inverse(multiply(inverse(D),c3))))) -> D
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [38]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(c3,
% inverse(multiply(C,c3)))),C)),
% inverse(c3)))) ->
% multiply(c3,multiply(c3,multiply(c3,inverse(multiply(c3,multiply(c3,multiply(c3,
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [39]
% inverse(multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))))
% -> C
% Rule
% [20]
% inverse(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(D,c3))))))
% -> D collapsed.
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [40]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_4)))),
% inverse(V_5))))))))))
% -> D
% Current number of equations to process: 607
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [41]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(B,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D)))
% -> V_4
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [42]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(
% inverse(V_4)))))
% -> V_4
% Current number of equations to process: 670
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [43]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(
% inverse(V_4),B))))))),D)
% -> V_4
% Current number of equations to process: 670
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [44]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,C)))),D)))
% -> B
% Rule
% [23]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),C)))),
% inverse(D)))) -> B collapsed.
% Rule
% [29]
% multiply(inverse(A),multiply(A,multiply(multiply(c3,multiply(c3,inverse(
% multiply(B,c3)))),B)))
% -> c3 collapsed.
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [45]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))))),
% inverse(multiply(V_5,V_4)))),V_5)))
% -> C
% Current number of equations to process: 676
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [46]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),D))))),V_4)),
% inverse(V_5)))) -> B
% Current number of equations to process: 676
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [47]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),D))))),V_4)),
% inverse(V_5)))) -> A
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [48]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),multiply(V_4,V_5)))
% -> B
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [49]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 673
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [50]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D)))))
% Current number of equations to process: 673
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [51]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(c3,
% inverse(multiply(D,c3)))),D)),
% inverse(c3))),c3))) -> C
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [52]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),
% inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),
% multiply(V_4,V_5)))) -> B
% Current number of equations to process: 671
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [53]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% Rule
% [31]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3)))))
% collapsed.
% Rule
% [32]
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3))))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% collapsed.
% Current number of equations to process: 722
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [54]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(V_4))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3)))))
% Current number of equations to process: 742
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [55]
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(V_4))))
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [56]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(inverse(C),A)))))
% -> C
% Current number of equations to process: 741
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [57]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D)))),
% inverse(V_4)))),
% inverse(multiply(V_5,C)))))) -> V_5
% Current number of equations to process: 739
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [58]
% inverse(multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,
% inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D))))) -> inverse(A)
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [59]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% -> D
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [60]
% inverse(multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,
% inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B)))))) -> C
% Current number of equations to process: 842
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [61]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D)))) -> A
% Rule
% [58]
% inverse(multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,
% inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D))))) -> inverse(A) collapsed.
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [62]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,C)))),D)))
% -> A
% Rule
% [28]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(
% inverse(D),C)))),
% inverse(D)))) -> A collapsed.
% Rule
% [30]
% multiply(c3,multiply(A,multiply(multiply(inverse(A),multiply(c3,inverse(
% multiply(B,c3)))),B)))
% -> c3 collapsed.
% Rule
% [37]
% multiply(c3,multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(
% multiply(C,c3)))),C))),
% inverse(multiply(inverse(D),c3))))) -> D collapsed.
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [63]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% Current number of equations to process: 892
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [64]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B)))))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [65]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(A,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D)))) -> B
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [66]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(
% multiply(D,V_4)))),D)),V_4))))
% -> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3)))))
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [67]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(
% inverse(V_5),C))))),
% multiply(V_4,inverse(V_5)))) -> A
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [68]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(inverse(V_4))))) -> V_4
% Rule
% [42]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(
% inverse(V_4)))))
% -> V_4 collapsed.
% Current number of equations to process: 968
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [69]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5)))))))))
% -> D
% Rule
% [40]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_4)))),
% inverse(V_5))))))))))
% -> D collapsed.
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [70]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> A
% Rule
% [61]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D)))) -> A collapsed.
% Current number of equations to process: 976
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [71]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(A,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> B
% Rule
% [65]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(A,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D)))) -> B collapsed.
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [72]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3)))))
% Rule
% [38]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(c3,
% inverse(multiply(C,c3)))),C)),
% inverse(c3)))) ->
% multiply(c3,multiply(c3,multiply(c3,inverse(multiply(c3,multiply(c3,multiply(c3,
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% collapsed.
% Rule
% [54]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(V_4))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3)))))
% collapsed.
% Current number of equations to process: 977
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [73]
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4))))
% Rule
% [55]
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(V_4))))
% collapsed.
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [74]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4))),
% inverse(multiply(V_5,C)))))) -> V_5
% Rule
% [57]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D)))),
% inverse(V_4)))),
% inverse(multiply(V_5,C)))))) -> V_5
% collapsed.
% Current number of equations to process: 976
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [75]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))) -> C
% Rule
% [51]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(c3,
% inverse(multiply(D,c3)))),D)),
% inverse(c3))),c3))) -> C
% collapsed.
% Current number of equations to process: 975
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [76]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4))))),C))))),V_5))))
% -> inverse(D)
% Current number of equations to process: 974
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [77]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))))))
% <->
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(D,V_7)))))
% Current number of equations to process: 973
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [78]
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(D,V_7)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))))))
% Current number of equations to process: 973
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [79]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(
% inverse(
% multiply(B,V_4)),C))))))
% -> A
% Current number of equations to process: 999
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [80]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(V_4,C))))),D))))
% -> V_4
% Current number of equations to process: 1179
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [81]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(inverse(V_4),D))))) -> V_4
% Rule
% [27]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(A,c3))))),
% multiply(V_4,inverse(multiply(inverse(V_5),V_4))))) -> V_5
% collapsed.
% Current number of equations to process: 1220
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [82]
% inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D)))))) -> V_4
% Rule
% [60]
% inverse(multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,
% inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B)))))) -> C collapsed.
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [83]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(V_4,C))))),D)))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Rule
% [22]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(inverse(V_4),C))))),D)))
% -> V_4 collapsed.
% Rule
% [80]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(V_4,C))))),D))))
% -> V_4 collapsed.
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [84]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> C
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [85]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D))))
% -> V_4
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [86]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))) -> C
% Current number of equations to process: 1215
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [87]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(C)))) -> A
% Current number of equations to process: 1448
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [88]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))))),D)
% -> A
% Current number of equations to process: 1471
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [89]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(C)))) -> B
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [90]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B)))) -> A
% Current number of equations to process: 1504
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [91]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),B)))))),C)
% -> A
% Current number of equations to process: 1503
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [92]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> B
% Rule
% [46]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),D))))),V_4)),
% inverse(V_5)))) -> B collapsed.
% Current number of equations to process: 1501
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [93]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,V_4)))),V_5)))
% -> D
% Rule
% [71]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(A,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> B
% collapsed.
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [94]
% inverse(multiply(D,multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),
% multiply(
% inverse(C),V_4))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C))))
% Rule
% [43]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(
% inverse(V_4),B))))))),D)
% -> V_4 collapsed.
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [95]
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(D,inverse(V_4))))),D)
% -> V_4
% Current number of equations to process: 1499
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [96]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5)),
% inverse(D))),inverse(C))))
% -> B
% Current number of equations to process: 1498
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [97]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),
% multiply(
% inverse(V_5),B))))))),C)
% -> V_5
% Current number of equations to process: 1497
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [98]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(A,C),inverse(D))))
% Rule
% [11]
% inverse(multiply(c3,multiply(A,multiply(multiply(inverse(A),multiply(c3,
% multiply(
% multiply(
% inverse(c3),c3),
% inverse(multiply(
% inverse(B),
% multiply(c3,c3)))))),
% inverse(multiply(C,B)))))) -> C collapsed.
% Current number of equations to process: 1496
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [99]
% multiply(inverse(A),multiply(A,multiply(multiply(A,C),inverse(D)))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D))))
% Current number of equations to process: 1496
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B))))))),D)
% Current number of equations to process: 1495
% Current number of ordered equations: 1
% Current number of rules: 64
% Rule [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),
% inverse(multiply(multiply(C,
% inverse(multiply(
% inverse(D),C))),
% multiply(V_4,B))))))),D) is composed into
% [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3)))))
% New rule produced :
% [101]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B))))))),D)
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 1495
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [102]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(B,multiply(C,
% inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))),inverse(
% inverse(V_5)))))
% -> V_5
% Current number of equations to process: 1494
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [103]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% Current number of equations to process: 1613
% Current number of ordered equations: 1
% Current number of rules: 67
% Rule [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3))))) is composed into
% [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Rule [72]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(
% multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3))))) is composed into
% [72]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Rule [66]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% multiply(
% inverse(A),
% multiply(C,
% inverse(
% multiply(D,V_4)))),D)),V_4))))
% ->
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3))))) is composed into
% [66]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(
% multiply(D,V_4)))),D)),V_4))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(C,c3)))))
% Rule [64]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% <->
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,
% inverse(multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B))))) is composed into
% [64]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B)))))
% Rule [10]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% ->
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(A,c3))))) is composed into
% [10]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Rule [6]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% multiply(
% inverse(A),
% multiply(
% multiply(C,D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% ->
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3))))) is composed into
% [6]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(C,D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(C,c3)))))
% New rule produced :
% [104]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% Rule
% [25]
% inverse(multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,
% inverse(
% multiply(V_4,c3))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6 collapsed.
% Rule
% [26]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(V_4,c3))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6 collapsed.
% Rule
% [63]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% collapsed.
% Rule
% [70]
% multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> A
% collapsed.
% Rule
% [73]
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) collapsed.
% Current number of equations to process: 1618
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [105]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(D),A))))),
% inverse(multiply(inverse(V_4),D))))) -> V_4
% Current number of equations to process: 1617
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [106]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> A
% Current number of equations to process: 1616
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [107]
% inverse(multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),
% inverse(multiply(V_4,c3))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6
% Current number of equations to process: 1615
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [108]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(V_4,c3))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6
% Current number of equations to process: 1614
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [109]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> A
% Rule
% [47]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),D))))),V_4)),
% inverse(V_5)))) -> A collapsed.
% Current number of equations to process: 1620
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [110]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,V_5)))),V_4)),V_5)),D))))
% -> C
% Current number of equations to process: 1619
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [111]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(multiply(D,multiply(A,C)))))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% Rule
% [107]
% inverse(multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),
% inverse(multiply(V_4,c3))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6 collapsed.
% Rule
% [108]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(V_4,c3))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6 collapsed.
% Current number of equations to process: 1617
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [112]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5))),
% inverse(multiply(V_6,D)))),V_6)))
% -> C
% Current number of equations to process: 1615
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [113]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(
% multiply(
% inverse(
% inverse(B)),C),
% inverse(
% multiply(D,
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),C))))),D)))),V_5)
% -> B
% Current number of equations to process: 1613
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [114]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(multiply(V_5,multiply(A,V_4))))))
% <->
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(V_5,V_7)))))
% Current number of equations to process: 1612
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [115]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(V_4),
% multiply(A,multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))))))))))),D)
% -> V_4
% Current number of equations to process: 1609
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [116]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6))))))),D)))
% -> V_4
% Current number of equations to process: 1608
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [117]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))))),
% inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_4))),D)))))),V_5)
% -> B
% Current number of equations to process: 1604
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [118]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),D)))
% -> B
% Current number of equations to process: 1602
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [119]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(
% multiply(V_4,
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6)),
% inverse(V_4))))))))))
% -> D
% Current number of equations to process: 1600
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [120]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(V_6,
% inverse(
% multiply(
% inverse(D),V_6))))))))),V_4)),V_5)))
% -> B
% Current number of equations to process: 1600
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [121]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(multiply(C,multiply(D,inverse(
% multiply(V_4,D)))),V_4)),
% inverse(C)))) -> A
% Current number of equations to process: 1599
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [122]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5))),
% inverse(multiply(V_6,D)))),V_6)))
% -> C
% Current number of equations to process: 1597
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [123]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,
% inverse(multiply(
% inverse(D),D)))),
% inverse(C))))) -> inverse(A)
% Current number of equations to process: 1630
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [124] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% Current number of equations to process: 1638
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [125]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(C),C)))))
% -> B
% Current number of equations to process: 1644
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [126]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(multiply(
% inverse(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4))))),C))))),V_5)))
% -> D
% Rule
% [76]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4))))),C))))),V_5))))
% -> inverse(D) collapsed.
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [127]
% multiply(inverse(B),multiply(C,multiply(multiply(inverse(C),multiply(B,
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))))),
% inverse(multiply(A,V_4))))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Current number of equations to process: 1793
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [128]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) <->
% multiply(inverse(B),multiply(C,multiply(multiply(inverse(C),multiply(B,
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))))),
% inverse(multiply(A,V_4)))))
% Current number of equations to process: 1793
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [129]
% multiply(inverse(B),multiply(C,multiply(multiply(inverse(C),multiply(B,
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))))),
% inverse(multiply(inverse(A),V_4))))) -> A
% Current number of equations to process: 1805
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [130]
% multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,
% multiply(
% inverse(D),B))))),
% multiply(V_4,multiply(inverse(V_4),C))) -> D
% Current number of equations to process: 2020
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [131]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(inverse(C),D)))),
% inverse(C)))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% Current number of equations to process: 2019
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [132]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 2018
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [133]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D)))))
% Current number of equations to process: 2018
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [134]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% Current number of equations to process: 2016
% Current number of ordered equations: 3
% Current number of rules: 89
% New rule produced :
% [135]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(D),A))))),
% inverse(multiply(V_4,D))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 2016
% Current number of ordered equations: 2
% Current number of rules: 90
% New rule produced :
% [136]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))))
% Current number of equations to process: 2016
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [137]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(D),A))))),
% inverse(multiply(V_4,D)))))
% Current number of equations to process: 2016
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [138]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% Current number of equations to process: 2015
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [139]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <-> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Current number of equations to process: 2015
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [140]
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_5),V_6))))))))))
% <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B)))))
% Current number of equations to process: 2013
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [141]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_5),V_6))))))))))
% Current number of equations to process: 2013
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [142]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% Current number of equations to process: 2011
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [143]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D)))))
% Current number of equations to process: 2011
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [144]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(multiply(D,V_4)))),D)))
% -> multiply(inverse(c3),multiply(c3,multiply(C,inverse(V_4))))
% Rule
% [10]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% collapsed.
% Rule
% [35]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))))),
% inverse(multiply(V_5,V_4)))),V_5)))
% -> C collapsed.
% Rule
% [112]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5))),
% inverse(multiply(V_6,D)))),V_6)))
% -> C collapsed.
% Current number of equations to process: 2010
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [145]
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(C),B)))),multiply(D,
% multiply(
% inverse(D),
% inverse(C))))
% -> A
% Current number of equations to process: 2035
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [146]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(inverse(C),
% inverse(D))))),
% inverse(C)))) -> D
% Current number of equations to process: 2034
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [147]
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_5),V_6))))))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% Rule
% [139]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <-> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% collapsed.
% Current number of equations to process: 2037
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [148]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_5),V_6))))))))))
% Rule
% [138]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% collapsed.
% Current number of equations to process: 2037
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [149]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(A,multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))))))))),
% multiply(V_5,multiply(inverse(V_5),C))) -> D
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [150]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D)))),multiply(V_5,multiply(
% inverse(V_5),V_4)))
% -> B
% Current number of equations to process: 2037
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [151]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(D,multiply(
% inverse(D),C)))
% -> A
% Rule
% [145]
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(C),B)))),multiply(D,
% multiply(
% inverse(D),
% inverse(C))))
% -> A collapsed.
% Current number of equations to process: 2039
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [152]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(inverse(V_4),A))))) -> V_4
% Current number of equations to process: 2043
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [153]
% multiply(multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D)),
% multiply(V_4,multiply(inverse(V_4),inverse(B)))) -> A
% Current number of equations to process: 2046
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [154]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(
% inverse(D),V_4)))),
% inverse(D))),V_4))) -> B
% Current number of equations to process: 2045
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [155]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(inverse(C),D)))),
% inverse(C)))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% Rule
% [146]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(inverse(C),
% inverse(D))))),
% inverse(C)))) -> D collapsed.
% Current number of equations to process: 2065
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [156]
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(inverse(B),inverse(C))))),
% multiply(D,multiply(inverse(D),inverse(B)))) -> C
% Current number of equations to process: 2065
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [157]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))))))
% -> D
% Current number of equations to process: 2115
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [158]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% inverse(inverse(C)),
% inverse(multiply(D,V_4)))),D)),V_4)))
% -> C
% Current number of equations to process: 2185
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [159]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% inverse(inverse(C)),
% inverse(multiply(D,V_4)))),D)),V_4)))
% -> C
% Current number of equations to process: 2184
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [160]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(
% inverse(D),V_4)))),
% inverse(D))),V_4))) -> A
% Current number of equations to process: 2182
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [161]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C)),
% multiply(D,multiply(inverse(D),inverse(inverse(V_4))))) -> V_4
% Current number of equations to process: 2182
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [162]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))))
% -> D
% Current number of equations to process: 2181
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [163]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4))) -> B
% Current number of equations to process: 2180
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [164]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4)))) -> B
% Current number of equations to process: 2179
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [165]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(inverse(V_4))))) -> V_4
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [166]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,V_4)))),V_5)))
% -> A
% Current number of equations to process: 2177
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [167]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5)),
% inverse(D))),inverse(C))))
% -> A
% Current number of equations to process: 2174
% Current number of ordered equations: 2
% Current number of rules: 115
% New rule produced :
% [168]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))) -> B
% Current number of equations to process: 2174
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [169]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(
% multiply(D,
% multiply(
% multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5)),C))))))
% -> B
% Current number of equations to process: 2174
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [170]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))) -> A
% Current number of equations to process: 2172
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [171]
% multiply(A,multiply(B,multiply(inverse(B),multiply(C,inverse(multiply(
% multiply(D,
% multiply(
% multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5)),C))))))
% -> A
% Current number of equations to process: 2172
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [172]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 2170
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [173]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4))))
% Current number of equations to process: 2170
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [174]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 2169
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [175]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4))))
% Current number of equations to process: 2169
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [176]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 2168
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [177]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4))))
% Current number of equations to process: 2168
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [178]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(multiply(
% inverse(V_5),
% inverse(C))))),
% inverse(V_5))))))))))
% -> D
% Current number of equations to process: 2167
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [179]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(V_5),
% inverse(C))))),
% inverse(V_5)))))))))
% -> D
% Current number of equations to process: 2166
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [180]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(inverse(B)),
% multiply(C,inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(V_5))),V_5))) ->
% B
% Current number of equations to process: 2165
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [181]
% multiply(B,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(C,inverse(multiply(A,C))))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Current number of equations to process: 2174
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [182]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) <->
% multiply(B,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(C,inverse(multiply(A,C)))))
% Current number of equations to process: 2174
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [183]
% multiply(B,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(C,inverse(multiply(inverse(A),C))))) -> A
% Current number of equations to process: 2183
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [184]
% inverse(multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),
% inverse(multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B)))))) -> C
% Current number of equations to process: 2189
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [185]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),D)))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(
% inverse(B)),D),c3)))))
% Current number of equations to process: 2287
% Current number of ordered equations: 1
% Current number of rules: 133
% Rule [185]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(
% multiply(
% inverse(C),C)),D)))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(
% inverse(B)),D),c3))))) is composed into
% [185]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),D)))))
% <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(B,multiply(inverse(
% multiply(
% inverse(c3),c3)),D)))))
% New rule produced :
% [186]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(
% inverse(B)),D),c3)))))
% <->
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),D)))))
% Current number of equations to process: 2287
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [187]
% inverse(multiply(A,multiply(B,multiply(inverse(B),multiply(multiply(inverse(A),
% multiply(C,
% inverse(D))),D)))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(C,c3)))))
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [188]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(
% inverse(
% multiply(D,B)),
% multiply(D,C))))),c3)))))
% -> A
% Current number of equations to process: 2319
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [189]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4)))) ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3)))))
% Rule
% [164]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4)))) -> B collapsed.
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [190]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),D)))
% -> C
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [191]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),D)))
% -> C
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [192]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(
% multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6)),
% inverse(V_4)))))))))
% -> D
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [193]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(V_6,
% inverse(
% multiply(
% inverse(D),V_6))))))))),V_4)),V_5)))
% -> A
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [194]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),
% inverse(D))))) -> D
% Current number of equations to process: 2342
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [195]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),
% multiply(V_4,V_5))) -> A
% Rule
% [67]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(
% inverse(V_5),C))))),
% multiply(V_4,inverse(V_5)))) -> A collapsed.
% Current number of equations to process: 2341
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [196]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(C,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(C))),inverse(
% inverse(V_5)))))
% -> V_5
% Current number of equations to process: 2436
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [197]
% multiply(multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),
% multiply(C,inverse(multiply(D,C)))),D)),
% inverse(inverse(V_4)))),multiply(V_5,multiply(inverse(V_5),
% inverse(V_4)))) -> A
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [198]
% inverse(multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(B))))) -> inverse(A)
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [199]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))))
% -> C
% Current number of equations to process: 2531
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [200]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),B)))),
% multiply(C,inverse(V_5))))) -> V_5
% Current number of equations to process: 2556
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [201]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C))))),
% multiply(B,inverse(multiply(V_5,multiply(A,V_4))))))) ->
% V_5
% Current number of equations to process: 2555
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [202]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4)),
% inverse(
% inverse(V_5))),B)))))),V_5)
% -> A
% Current number of equations to process: 2554
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [203]
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(
% multiply(V_5,
% multiply(V_6,
% inverse(
% multiply(V_7,V_6)))),V_7))))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% Current number of equations to process: 2553
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [204]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(
% multiply(V_5,
% multiply(V_6,
% inverse(
% multiply(V_7,V_6)))),V_7))))))))
% Current number of equations to process: 2553
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [205]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Current number of equations to process: 2674
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [206]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4))))
% Current number of equations to process: 2674
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [207]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(
% inverse(B)),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4))),multiply(V_5,multiply(inverse(V_5),V_4)))
% -> B
% Current number of equations to process: 2673
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [208]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(
% inverse(D),V_4)))),
% inverse(D))),V_4)),
% inverse(inverse(V_5))))) -> V_5
% Current number of equations to process: 2812
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [209]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(A,multiply(
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))))),
% multiply(V_6,multiply(inverse(V_6),C))) -> D
% Current number of equations to process: 2811
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [210]
% multiply(A,multiply(B,multiply(C,multiply(multiply(multiply(inverse(C),
% multiply(multiply(
% inverse(B),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% multiply(V_5,inverse(multiply(V_6,V_5)))),V_6))))
% -> A
% Current number of equations to process: 2810
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [211]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(
% multiply(C,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4))),
% inverse(multiply(V_5,C)))),multiply(V_6,multiply(
% inverse(V_6),V_5)))
% -> B
% Current number of equations to process: 2809
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [212]
% inverse(multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))))),
% multiply(V_4,multiply(multiply(inverse(V_4),D),inverse(multiply(V_5,A))))))
% -> V_5
% Current number of equations to process: 2808
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [213]
% inverse(multiply(inverse(A),multiply(A,multiply(A,multiply(inverse(multiply(
% inverse(B),B)),
% multiply(C,inverse(
% multiply(
% inverse(
% multiply(
% inverse(B),B)),C))))))))
% -> inverse(A)
% Current number of equations to process: 2906
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [214]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(D,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% Current number of equations to process: 2928
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [215]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(V_5,c3))))),
% multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 2927
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [216]
% multiply(V_5,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(V_5,c3))))),
% multiply(V_6,inverse(multiply(V_4,V_6))))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D)))))
% Current number of equations to process: 2927
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [217]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,
% multiply(V_4,
% multiply(A,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D)))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Current number of equations to process: 2926
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [218]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% <->
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(C,V_7)))))
% Rule
% [14]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> C collapsed.
% Current number of equations to process: 2925
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [219]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(V_4,c3))))),
% multiply(A,D)))))),V_4)))
% -> c3
% Current number of equations to process: 2924
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [220]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(B)))) -> A
% Rule
% [198]
% inverse(multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(B))))) -> inverse(A) collapsed.
% Current number of equations to process: 2949
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [221]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),
% multiply(
% inverse(
% multiply(B,D)),C))))))
% -> A
% Current number of equations to process: 3037
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [222]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(B),C),
% inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(multiply(B,V_4)),C)))),V_5)))
% -> V_5
% Current number of equations to process: 3037
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [223]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(inverse(
% inverse(
% multiply(B,C))),
% inverse(multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))),
% inverse(D)))) -> A
% Current number of equations to process: 3035
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [224]
% multiply(multiply(multiply(inverse(A),B),inverse(multiply(multiply(C,
% inverse(multiply(
% inverse(D),C))),
% multiply(inverse(multiply(A,D)),B)))),
% multiply(V_4,multiply(inverse(V_4),V_5))) -> V_5
% Current number of equations to process: 3035
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [225]
% multiply(multiply(inverse(A),B),multiply(C,multiply(multiply(inverse(C),
% inverse(multiply(
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))),
% multiply(
% inverse(multiply(A,V_4)),B)))),V_5)))
% -> V_5
% Current number of equations to process: 3055
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [226]
% inverse(multiply(inverse(A),multiply(inverse(B),inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% inverse(multiply(B,D)))))))
% -> A
% Current number of equations to process: 3168
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [227]
% multiply(multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),
% inverse(multiply(D,multiply(V_4,C))))),D)),
% multiply(V_5,multiply(inverse(V_5),V_4))) -> A
% Current number of equations to process: 3444
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [228]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(C),multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),
% multiply(
% inverse(
% multiply(D,V_6)),V_4)))))
% Current number of equations to process: 3443
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [229]
% multiply(inverse(C),multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),
% multiply(
% inverse(
% multiply(D,V_6)),V_4)))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% Current number of equations to process: 3443
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [230]
% inverse(multiply(A,multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(
% multiply(B,V_4)),C))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(A,V_6)))))
% Current number of equations to process: 3442
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [231]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(A,V_6)))))
% <->
% inverse(multiply(A,multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(
% multiply(B,V_4)),C))))))
% Current number of equations to process: 3442
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [232]
% multiply(inverse(C),multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),
% multiply(
% inverse(
% multiply(D,V_6)),V_4)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% Current number of equations to process: 3441
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [233]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(C),multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),
% multiply(
% inverse(
% multiply(D,V_6)),V_4)))))
% Current number of equations to process: 3441
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [234]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(inverse(D),inverse(multiply(inverse(V_4),
% inverse(V_5))))),
% inverse(V_4)))) -> V_5
% Current number of equations to process: 3440
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [235]
% inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(multiply(A,C))))),
% multiply(multiply(D,multiply(inverse(D),inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))))) -> V_5
% Current number of equations to process: 3439
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [236]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% inverse(C),
% inverse(multiply(
% inverse(D),V_4)))),
% inverse(D))),V_4))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(C,V_6)))))
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [237]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(C,D)))),C)))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% Rule
% [155]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(inverse(C),D)))),
% inverse(C)))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% collapsed.
% Current number of equations to process: 3528
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [238]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))))
% -> C
% Current number of equations to process: 3609
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [239]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),
% multiply(V_6,C))))),
% multiply(D,V_6))) -> A
% Current number of equations to process: 3608
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [240]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% inverse(C),
% inverse(
% multiply(D,V_4)))),D)),V_4))))
% -> C
% Current number of equations to process: 3724
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [241]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(multiply(B,multiply(C,
% inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))),
% inverse(V_5))))) -> V_5
% Current number of equations to process: 4005
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [242]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(B),
% multiply(C,inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(V_5))),V_5))))
% -> B
% Current number of equations to process: 4004
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [243]
% inverse(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(multiply(
% inverse(
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4))))),D))),
% multiply(V_5,C)))))) -> A
% Current number of equations to process: 4003
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [244]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(multiply(
% inverse(
% inverse(
% multiply(B,C))),D),
% inverse(multiply(V_4,
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),D))))),V_4)))
% -> A
% Current number of equations to process: 4002
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [245]
% inverse(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(multiply(V_4,D)),
% multiply(V_4,multiply(V_5,
% inverse(multiply(
% inverse(B),V_5))))))))))
% -> A
% Current number of equations to process: 3999
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [246]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(multiply(B,C),
% multiply(D,inverse(
% multiply(
% inverse(V_4),D))))),
% inverse(multiply(multiply(V_5,inverse(multiply(
% inverse(C),V_5))),V_4)))))
% -> A
% Current number of equations to process: 3999
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [247]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(multiply(V_4,multiply(V_5,inverse(
% multiply(V_6,V_5)))),V_6)),
% inverse(V_4)))) -> D
% Current number of equations to process: 3998
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [248]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% multiply(
% inverse(C),
% multiply(C,
% multiply(D,
% inverse(multiply(V_4,D))))),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6)),V_4)))
% -> B
% Current number of equations to process: 3997
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [249]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% multiply(
% inverse(C),
% multiply(C,
% multiply(D,
% inverse(multiply(V_4,D))))),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6)),V_4)))
% -> A
% Current number of equations to process: 3996
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [250]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),
% inverse(C)))) -> B
% Current number of equations to process: 3995
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [251]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),
% inverse(C)))) -> A
% Current number of equations to process: 3994
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [252]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(
% multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),D))))
% -> C
% Current number of equations to process: 3992
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [253]
% multiply(multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),
% multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)),
% multiply(V_6,multiply(inverse(V_6),C))) -> A
% Current number of equations to process: 3992
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [254]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),D)))
% -> A
% Current number of equations to process: 3991
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [255]
% multiply(multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(V_5,
% inverse(multiply(
% inverse(C),V_5))))))))),D)),
% multiply(V_6,multiply(inverse(V_6),V_4))) -> A
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [256]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6))))))),D))))
% -> V_4
% Current number of equations to process: 3989
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [257]
% inverse(multiply(multiply(C,D),multiply(V_4,inverse(multiply(multiply(V_5,
% inverse(
% multiply(
% inverse(D),V_5))),V_4)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% Current number of equations to process: 4210
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [258]
% inverse(inverse(multiply(multiply(A,B),multiply(C,inverse(multiply(multiply(
% multiply(B,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),C))))))
% -> A
% Current number of equations to process: 4245
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [259]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(A),V_4))),D)))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(C))))
% Rule
% [257]
% inverse(multiply(multiply(C,D),multiply(V_4,inverse(multiply(multiply(V_5,
% inverse(
% multiply(
% inverse(D),V_5))),V_4)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% collapsed.
% Current number of equations to process: 4291
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [260]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(A),V_4))),D)))))
% Current number of equations to process: 4291
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [261]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(B),V_4))),D)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C))))
% Current number of equations to process: 4290
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [262]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(B),V_4))),D)))))
% Current number of equations to process: 4290
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [263]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,C)),V_5))),V_4)))))
% <-> multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D))))
% Current number of equations to process: 4301
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [264]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,C)),V_5))),V_4)))))
% Current number of equations to process: 4301
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [265]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(V_4),A))),D))),C))))),B))
% -> V_4
% Current number of equations to process: 4300
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [266]
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(
% multiply(V_5,
% inverse(
% multiply(C,V_5)))),V_4))),D))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,C)))
% Current number of equations to process: 4472
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [267]
% multiply(inverse(A),multiply(A,multiply(B,C))) <->
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(
% multiply(V_5,
% inverse(
% multiply(C,V_5)))),V_4))),D))))))
% Current number of equations to process: 4472
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [268]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(D),
% inverse(V_4))))),
% inverse(D)),B)))))),V_4)
% -> A
% Current number of equations to process: 4470
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [269]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(
% inverse(C),
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))))))),
% inverse(C))))),V_4) -> A
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [270]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D)))),C))),B))))))),A)
% -> V_4
% Current number of equations to process: 4469
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [271]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(D),V_6))),V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4))))
% Current number of equations to process: 4468
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [272]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(D),V_6))),V_5)))))
% Current number of equations to process: 4468
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [273]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(C),V_6))),V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,V_4)))),D)))
% Current number of equations to process: 4467
% Current number of ordered equations: 1
% Current number of rules: 215
% Rule [273]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(multiply(
% inverse(C),V_6))),V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,V_4)))),D))) is composed into
% [273]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(C),V_6))),V_5)))))
% <->
% inverse(multiply(V_4,multiply(c3,inverse(multiply(multiply(c3,inverse(
% multiply(
% inverse(C),c3))),c3)))))
% New rule produced :
% [274]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,V_4)))),D)))
% <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(C),V_6))),V_5)))))
% Rule
% [45]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))))),
% inverse(multiply(V_5,V_4)))),V_5)))
% -> C collapsed.
% Rule
% [83]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(V_4,C))))),D)))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Rule
% [122]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5))),
% inverse(multiply(V_6,D)))),V_6)))
% -> C collapsed.
% Current number of equations to process: 4467
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [275]
% multiply(multiply(A,multiply(multiply(B,multiply(multiply(C,multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(C))),multiply(V_5,multiply(inverse(V_5),inverse(B))))
% -> A
% Current number of equations to process: 4466
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [276]
% inverse(multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(
% inverse(
% multiply(D,V_4))),V_6))),V_5)))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4))))
% Current number of equations to process: 4465
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [277]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4))))
% <->
% inverse(multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(
% inverse(
% multiply(D,V_4))),V_6))),V_5)))))
% Rule
% [5]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(
% multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),D))))
% -> C collapsed.
% Rule
% [6]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(C,D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(C,c3)))))
% collapsed.
% Rule
% [66]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(
% multiply(D,V_4)))),D)),V_4))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(C,c3)))))
% collapsed.
% Rule
% [110]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,V_5)))),V_4)),V_5)),D))))
% -> C collapsed.
% Current number of equations to process: 4468
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [278]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C))))
% Rule
% [258]
% inverse(inverse(multiply(multiply(A,B),multiply(C,inverse(multiply(multiply(
% multiply(B,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),C))))))
% -> A collapsed.
% Current number of equations to process: 4496
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [279]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% Current number of equations to process: 4496
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [280]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),A),
% inverse(multiply(C,multiply(inverse(D),D)))))))
% -> C
% Current number of equations to process: 4653
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [281]
% multiply(A,multiply(B,multiply(multiply(inverse(C),C),inverse(multiply(D,
% multiply(A,B))))))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% Current number of equations to process: 4661
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [282]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(inverse(C),C)))))
% -> A
% Current number of equations to process: 4693
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [283]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(A,multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(C))))
% Current number of equations to process: 4721
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [284]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(A,multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% Current number of equations to process: 4721
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [285]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(multiply(multiply(A,C),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6),V_4)))))
% <-> multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D))))
% Current number of equations to process: 4865
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced :
% [286]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(multiply(multiply(A,C),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6),V_4)))))
% Current number of equations to process: 4865
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [287]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(D,V_6))),V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(multiply(D,C))))),
% inverse(V_4))))
% Current number of equations to process: 4864
% Current number of ordered equations: 1
% Current number of rules: 221
% New rule produced :
% [288]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(multiply(D,C))))),
% inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(D,V_6))),V_5)))))
% Current number of equations to process: 4864
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [289]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(D,V_4)))),D)),V_4)))
% -> B
% Rule
% [154]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(
% inverse(D),V_4)))),
% inverse(D))),V_4))) -> B
% collapsed.
% Current number of equations to process: 4956
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [290]
% multiply(A,multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C))))))
% <-> multiply(inverse(D),D)
% Current number of equations to process: 1989
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [291]
% multiply(inverse(D),D) <->
% multiply(A,multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C))))))
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [292]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5)),
% inverse(D)),B)))))),C)
% -> A
% Current number of equations to process: 2008
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [293]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),D))),C))))),
% multiply(B,V_5))) -> A
% Current number of equations to process: 2007
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [294]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(multiply(
% multiply(
% inverse(
% multiply(
% inverse(D),A)),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C))))),B))
% -> D
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [295]
% inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B))))))
% <-> multiply(inverse(V_5),multiply(V_5,multiply(D,V_4)))
% Rule
% [94]
% inverse(multiply(D,multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),
% multiply(
% inverse(C),V_4))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) collapsed.
% Rule
% [101]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B))))))),D)
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Current number of equations to process: 2017
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [296]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(B,inverse(C))))
% Current number of equations to process: 2016
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [297]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(multiply(inverse(c3),multiply(c3,multiply(D,V_4)))),D)
% Current number of equations to process: 2015
% Current number of ordered equations: 1
% Current number of rules: 228
% Rule [297]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(multiply(inverse(c3),multiply(c3,multiply(D,V_4)))),D) is composed into
% [297]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3)))))
% New rule produced :
% [298]
% multiply(inverse(multiply(inverse(c3),multiply(c3,multiply(D,V_4)))),D) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 2015
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [299]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% multiply(inverse(D),multiply(D,multiply(A,inverse(C))))
% Rule
% [153]
% multiply(multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D)),
% multiply(V_4,multiply(inverse(V_4),inverse(B)))) -> A collapsed.
% Rule
% [156]
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(inverse(B),inverse(C))))),
% multiply(D,multiply(inverse(D),inverse(B)))) -> C collapsed.
% Rule
% [161]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C)),
% multiply(D,multiply(inverse(D),inverse(inverse(V_4))))) -> V_4 collapsed.
% Rule
% [197]
% multiply(multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),
% multiply(C,inverse(multiply(D,C)))),D)),
% inverse(inverse(V_4)))),multiply(V_5,multiply(inverse(V_5),
% inverse(V_4)))) -> A
% collapsed.
% Rule
% [275]
% multiply(multiply(A,multiply(multiply(B,multiply(multiply(C,multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(C))),multiply(V_5,multiply(inverse(V_5),inverse(B))))
% -> A collapsed.
% Current number of equations to process: 2023
% Current number of ordered equations: 1
% Current number of rules: 225
% Rule [297]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3))))) is composed into
% [297]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% New rule produced :
% [300]
% multiply(inverse(D),multiply(D,multiply(A,inverse(C)))) <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(C))))
% Current number of equations to process: 2023
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [301]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(B,C)))),B)
% Current number of equations to process: 2022
% Current number of ordered equations: 1
% Current number of rules: 227
% Rule [301]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% <-> multiply(inverse(multiply(inverse(A),multiply(A,multiply(B,C)))),B) is composed into
% [301]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3)))))
% New rule produced :
% [302]
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(B,C)))),B) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% Rule
% [95]
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(D,inverse(V_4))))),D)
% -> V_4 collapsed.
% Rule
% [298]
% multiply(inverse(multiply(inverse(c3),multiply(c3,multiply(D,V_4)))),D) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Current number of equations to process: 2022
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [303]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(inverse(multiply(
% inverse(C),A)),
% inverse(D)))),D)) -> C
% Current number of equations to process: 2021
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [304]
% multiply(inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4))))),D) -> V_4
% Current number of equations to process: 2020
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [305]
% multiply(inverse(V_4),multiply(V_4,multiply(multiply(A,multiply(B,multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))),
% inverse(D)))) ->
% multiply(A,multiply(B,multiply(C,inverse(D))))
% Current number of equations to process: 2019
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [306]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,
% inverse(
% multiply(C,B))),
% inverse(D)))))),D)
% Current number of equations to process: 2022
% Current number of ordered equations: 1
% Current number of rules: 230
% Rule [306]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),multiply(A,multiply(
% multiply(B,
% inverse(
% multiply(C,B))),
% inverse(D)))))),D) is composed into
% [306]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3)))))
% New rule produced :
% [307]
% multiply(inverse(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,
% inverse(
% multiply(C,B))),
% inverse(D)))))),D)
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% Current number of equations to process: 2022
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [308]
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(V_4)))),
% inverse(multiply(inverse(V_5),multiply(A,multiply(B,
% multiply(D,
% inverse(V_4)))))))))
% -> V_5
% Current number of equations to process: 2021
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [309]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),D)))),
% inverse(C)))) -> B
% Current number of equations to process: 2154
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [310]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(multiply(D,
% multiply(V_6,
% inverse(multiply(V_7,V_6)))),V_7),V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4))))
% Current number of equations to process: 2183
% Current number of ordered equations: 1
% Current number of rules: 234
% New rule produced :
% [311]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(multiply(D,
% multiply(V_6,
% inverse(multiply(V_7,V_6)))),V_7),V_5)))))
% Current number of equations to process: 2183
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [312]
% inverse(multiply(D,multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(
% multiply(B,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),
% multiply(C,V_4))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,C)))
% Rule
% [97]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),
% multiply(
% inverse(V_5),B))))))),C)
% -> V_5 collapsed.
% Current number of equations to process: 2183
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [313]
% multiply(inverse(A),multiply(A,multiply(B,C))) <->
% multiply(inverse(c3),multiply(c3,multiply(B,C)))
% Current number of equations to process: 2188
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [314]
% multiply(inverse(c3),multiply(c3,multiply(B,C))) <->
% multiply(inverse(A),multiply(A,multiply(B,C)))
% Current number of equations to process: 2188
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [315]
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(
% multiply(V_4,D))))),
% inverse(V_5)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(A,multiply(B,multiply(V_6,
% inverse(
% multiply(V_4,V_6))))),
% inverse(V_5))))
% Current number of equations to process: 2187
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [316]
% multiply(inverse(A),multiply(A,multiply(multiply(A,multiply(B,multiply(V_6,
% inverse(
% multiply(V_4,V_6))))),
% inverse(V_5)))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(
% multiply(V_4,D))))),
% inverse(V_5))))
% Current number of equations to process: 2187
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [317]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),
% inverse(C)))) -> A
% Current number of equations to process: 2185
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [318]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(D,C))),B)))))),
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5))))))
% -> A
% Current number of equations to process: 2184
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [319]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_5),D))))),V_4),B)))))),V_5)
% -> A
% Current number of equations to process: 2182
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [320]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),C))))),D)))),V_5)
% -> A
% Current number of equations to process: 2182
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [321]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(D),V_6))),V_5)))))
% <->
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(V_4))))
% Current number of equations to process: 2181
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [322]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(D),V_6))),V_5)))))
% Current number of equations to process: 2181
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [323]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,multiply(
% multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6)),
% inverse(V_4)),D))))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(C))))
% Current number of equations to process: 2180
% Current number of ordered equations: 1
% Current number of rules: 246
% New rule produced :
% [324]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,multiply(
% multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6)),
% inverse(V_4)),D)))))
% Current number of equations to process: 2180
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [325]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),
% inverse(C)))) -> B
% Current number of equations to process: 2179
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [326]
% multiply(A,multiply(multiply(multiply(inverse(B),C),multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))),D)))),
% multiply(B,inverse(multiply(inverse(V_5),A))))) -> V_5
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [327]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),D)))
% -> B
% Current number of equations to process: 2177
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [328]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(
% inverse(A),
% multiply(A,
% multiply(
% multiply(A,V_4),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_4)))))))))))
% -> D
% Current number of equations to process: 2175
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [329]
% multiply(inverse(B),multiply(B,multiply(multiply(B,C),inverse(multiply(
% inverse(A),
% multiply(B,
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(
% multiply(
% inverse(D),C)),V_4))))))))))
% -> A
% Current number of equations to process: 2175
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [330]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,D)),
% inverse(V_4))),V_4))) <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% multiply(V_7,
% inverse(
% multiply(D,V_7)))),V_6))),V_5))))
% Rule
% [75]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))) -> C
% collapsed.
% Current number of equations to process: 2175
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [331]
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% multiply(V_7,
% inverse(
% multiply(D,V_7)))),V_6))),V_5))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,D)),
% inverse(V_4))),V_4)))
% Current number of equations to process: 2174
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [332]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,D)),
% inverse(V_4))),V_4))) <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% multiply(V_7,
% inverse(
% multiply(D,V_7)))),V_6))),V_5))))
% Rule
% [86]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))) -> C
% collapsed.
% Rule
% [238]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))))
% -> C collapsed.
% Current number of equations to process: 2175
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [333]
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(multiply(
% multiply(V_4,
% inverse(
% multiply(C,V_4))),
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),D))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,C)))
% Current number of equations to process: 2174
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [334]
% multiply(inverse(A),multiply(A,multiply(B,C))) <->
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(multiply(
% multiply(V_4,
% inverse(
% multiply(C,V_4))),
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),D))))))
% Current number of equations to process: 2174
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [335]
% inverse(multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(
% multiply(V_7,
% inverse(
% multiply(D,V_7))),
% multiply(V_4,V_6))))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(multiply(D,C))))),V_4)))
% Current number of equations to process: 2173
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced :
% [336]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(multiply(D,C))))),V_4)))
% <->
% inverse(multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(
% multiply(V_7,
% inverse(
% multiply(D,V_7))),
% multiply(V_4,V_6))))))
% Current number of equations to process: 2173
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [337]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),D))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(A,C),D)))
% Rule
% [98]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(A,C),inverse(D))))
% collapsed.
% Current number of equations to process: 2176
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [338]
% multiply(inverse(A),multiply(A,multiply(multiply(A,multiply(V_4,multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))),
% inverse(D)))) ->
% multiply(A,multiply(B,multiply(C,inverse(D))))
% Current number of equations to process: 2179
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [339]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(A,V_4),inverse(V_5))))
% Current number of equations to process: 2178
% Current number of ordered equations: 1
% Current number of rules: 258
% New rule produced :
% [340]
% multiply(inverse(A),multiply(A,multiply(multiply(A,V_4),inverse(V_5)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5))))
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [341]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(B,C),
% inverse(D))),inverse(
% multiply(B,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),C),
% inverse(D))))))))
% -> B
% Current number of equations to process: 2177
% Current number of ordered equations: 0
% Current number of rules: 260
% Rule [137]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(D),A))))),
% inverse(multiply(V_4,D))))) is composed into
% [137]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(A),multiply(A,multiply(D,inverse(multiply(V_4,D)))))
% New rule produced :
% [342]
% multiply(A,multiply(D,multiply(multiply(inverse(D),multiply(V_4,multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(B),A))))),
% inverse(C)))) ->
% multiply(inverse(A),multiply(A,multiply(B,inverse(C))))
% Rule
% [105]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(D),A))))),
% inverse(multiply(inverse(V_4),D))))) -> V_4 collapsed.
% Rule
% [135]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(D),A))))),
% inverse(multiply(V_4,D))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [343]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(A,C),
% inverse(D))),inverse(
% multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),C),
% inverse(D))))))))
% -> A
% Current number of equations to process: 2185
% Current number of ordered equations: 0
% Current number of rules: 260
% Rule [321]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(multiply(
% inverse(D),V_6))),V_5)))))
% <->
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))))),
% inverse(V_4)))) is composed into
% [321]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(D),V_6))),V_5)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(D,inverse(V_4))))
% Rule [128]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% <->
% multiply(inverse(B),multiply(C,multiply(multiply(inverse(C),multiply(B,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))))),
% inverse(multiply(A,V_4))))) is composed into
% [128]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) <->
% multiply(inverse(c3),multiply(c3,multiply(V_4,inverse(multiply(A,V_4)))))
% Rule [50]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D))))) is composed into
% [50]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(D,inverse(multiply(V_4,D)))))
% New rule produced :
% [344]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(V_4,
% inverse(multiply(
% inverse(A),V_4))))),
% inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B))))
% Rule
% [24]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D)))))) -> V_4
% collapsed.
% Rule
% [49]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Rule
% [127]
% multiply(inverse(B),multiply(C,multiply(multiply(inverse(C),multiply(B,
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))))),
% inverse(multiply(A,V_4))))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% collapsed.
% Rule
% [129]
% multiply(inverse(B),multiply(C,multiply(multiply(inverse(C),multiply(B,
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))))),
% inverse(multiply(inverse(A),V_4))))) -> A
% collapsed.
% Rule
% [322]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(D),V_6))),V_5)))))
% collapsed.
% Current number of equations to process: 2194
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [345]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(
% multiply(A,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5))),
% inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B))))
% Rule
% [74]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4))),
% inverse(multiply(V_5,C)))))) -> V_5
% collapsed.
% Current number of equations to process: 2202
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [346]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(inverse(A))))) -> A
% Current number of equations to process: 2217
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [347]
% multiply(multiply(inverse(inverse(C)),multiply(D,inverse(multiply(V_4,D)))),
% multiply(c3,inverse(multiply(multiply(c3,inverse(multiply(inverse(multiply(c3,
% inverse(
% multiply(V_4,c3)))),c3))),c3))))
% -> C
% Current number of equations to process: 2253
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [348]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Current number of equations to process: 2255
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced :
% [349]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D)))))
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [350]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4))))
% Current number of equations to process: 2275
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [351]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Current number of equations to process: 2275
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [352]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> B
% Current number of equations to process: 2292
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [353]
% multiply(multiply(inverse(inverse(A)),B),multiply(C,inverse(multiply(
% multiply(D,
% inverse(multiply(
% inverse(B),D))),C))))
% -> A
% Current number of equations to process: 2341
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [354]
% multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(inverse(
% multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(
% inverse(A),V_4))))),C))),B))))
% -> D
% Current number of equations to process: 2418
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [355]
% multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(inverse(
% multiply(
% inverse(D),
% multiply(
% multiply(A,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))),C))),B))))
% -> D
% Current number of equations to process: 2439
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [356]
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,inverse(C))))),
% multiply(D,multiply(inverse(D),B))) -> C
% Current number of equations to process: 2446
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [357]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(C,D)))),C)))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% Rule
% [131]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(inverse(C),D)))),
% inverse(C)))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% collapsed.
% Current number of equations to process: 2453
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [358]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(D,V_4)))),D)),V_4)))
% -> A
% Rule
% [160]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(
% inverse(D),V_4)))),
% inverse(D))),V_4))) -> A
% collapsed.
% Current number of equations to process: 2478
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [359]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% <->
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,C)))),multiply(D,
% multiply(
% inverse(D),B)))
% Current number of equations to process: 2532
% Current number of ordered equations: 1
% Current number of rules: 268
% Rule [359]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% <->
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,C)))),
% multiply(D,multiply(inverse(D),B))) is composed into [359]
% multiply(inverse(V_4),
% multiply(V_4,
% multiply(V_5,
% inverse(multiply(C,V_5)))))
% <->
% multiply(inverse(c3),
% multiply(c3,
% multiply(c3,
% inverse(multiply(C,c3)))))
% New rule produced :
% [360]
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,C)))),multiply(D,
% multiply(
% inverse(D),B)))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% Rule
% [356]
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,inverse(C))))),
% multiply(D,multiply(inverse(D),B))) -> C collapsed.
% Current number of equations to process: 2532
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [361]
% multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B))))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Current number of equations to process: 2532
% Current number of ordered equations: 1
% Current number of rules: 269
% New rule produced :
% [362]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) <->
% multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B)))))
% Current number of equations to process: 2532
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [363]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(inverse(V_4),D))))) -> V_4
% Rule
% [183]
% multiply(B,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(C,inverse(multiply(inverse(A),C))))) -> A collapsed.
% Current number of equations to process: 2567
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [364]
% inverse(multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),
% inverse(multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D)))))) -> V_4
% Rule
% [184]
% inverse(multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),
% inverse(multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B)))))) -> C collapsed.
% Current number of equations to process: 2566
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [365]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% inverse(C),
% inverse(
% multiply(D,
% inverse(V_4))))),D),B)))))),V_4)
% -> A
% Rule
% [268]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(D),
% inverse(V_4))))),
% inverse(D)),B)))))),V_4)
% -> A collapsed.
% Current number of equations to process: 2566
% Current number of ordered equations: 1
% Current number of rules: 270
% New rule produced :
% [366]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))))))),C)))),V_4)
% -> A
% Rule
% [269]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(
% inverse(C),
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))))))),
% inverse(C))))),V_4) -> A collapsed.
% Current number of equations to process: 2566
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [367]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,V_4)))),V_5)))
% -> D
% Rule
% [352]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> B
% collapsed.
% Current number of equations to process: 2565
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [368]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 2583
% Current number of ordered equations: 1
% Current number of rules: 271
% New rule produced :
% [369]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A)))))
% Current number of equations to process: 2583
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [370]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,
% multiply(D,B))))),
% multiply(V_4,multiply(inverse(V_4),C)))
% Current number of equations to process: 2582
% Current number of ordered equations: 1
% Current number of rules: 273
% Rule [370]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,
% multiply(D,B))))),
% multiply(V_4,multiply(inverse(V_4),C))) is composed into [370]
% multiply(
% inverse(V_5),
% multiply(V_5,
% multiply(V_6,
% inverse(
% multiply(D,V_6)))))
% <->
% multiply(
% inverse(c3),
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(D,c3)))))
% New rule produced :
% [371]
% multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,
% multiply(D,B))))),
% multiply(V_4,multiply(inverse(V_4),C))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% Rule
% [130]
% multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,
% multiply(
% inverse(D),B))))),
% multiply(V_4,multiply(inverse(V_4),C))) -> D collapsed.
% Current number of equations to process: 2582
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [372]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(inverse(
% inverse(
% multiply(B,C))),
% inverse(multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))),D)))
% -> A
% Rule
% [223]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(inverse(
% inverse(
% multiply(B,C))),
% inverse(multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))),
% inverse(D)))) -> A collapsed.
% Current number of equations to process: 2580
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [373]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(multiply(V_4,V_5)))),V_4)),V_5)),
% inverse(C)))) -> A
% Rule
% [317]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),
% inverse(C)))) -> A collapsed.
% Current number of equations to process: 2579
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [374]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(multiply(V_4,V_5)))),V_4)),V_5)),
% inverse(C)))) -> B
% Rule
% [325]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),
% inverse(C)))) -> B collapsed.
% Current number of equations to process: 2578
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [375]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(multiply(V_4,V_5)))),V_4)),V_5)),D)))
% -> B
% Rule
% [327]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),D)))
% -> B collapsed.
% Current number of equations to process: 2577
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [376]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B))))) <->
% multiply(D,multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,D)))))
% Rule
% [181]
% multiply(B,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(C,inverse(multiply(A,C))))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% collapsed.
% Current number of equations to process: 2576
% Current number of ordered equations: 1
% Current number of rules: 273
% New rule produced :
% [377]
% multiply(D,multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,D))))) <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B)))))
% Rule
% [182]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) <->
% multiply(B,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(C,inverse(multiply(A,C))))) collapsed.
% Current number of equations to process: 2576
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [378]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% Rule
% [348]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% collapsed.
% Current number of equations to process: 2575
% Current number of ordered equations: 1
% Current number of rules: 273
% New rule produced :
% [379]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D)))))
% Rule
% [349]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) collapsed.
% Current number of equations to process: 2575
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [380]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(B,inverse(multiply(C,A))))) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% Current number of equations to process: 2610
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [381]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(B,inverse(multiply(C,A)))))
% Current number of equations to process: 2610
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [382]
% multiply(A,multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(
% multiply(
% inverse(B),B),c3))))))
% -> A
% Current number of equations to process: 2641
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [383]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(multiply(V_4,V_5)))),V_4)),V_5)),D)))
% -> A
% Current number of equations to process: 2875
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [384]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,
% inverse(C))))),V_5))))))))
% -> D
% Rule
% [179]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(V_5),
% inverse(C))))),
% inverse(V_5)))))))))
% -> D collapsed.
% Current number of equations to process: 2874
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [385]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(multiply(V_5,
% inverse(C))))),V_5)))))))))
% -> D
% Rule
% [178]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(multiply(
% inverse(V_5),
% inverse(C))))),
% inverse(V_5))))))))))
% -> D collapsed.
% Current number of equations to process: 2873
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [386]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(inverse(D),inverse(multiply(V_4,
% inverse(V_5))))),V_4)))
% -> V_5
% Rule
% [234]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(inverse(D),inverse(multiply(inverse(V_4),
% inverse(V_5))))),
% inverse(V_4)))) -> V_5 collapsed.
% Current number of equations to process: 2872
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [387]
% inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(multiply(A,C))))),
% multiply(multiply(D,multiply(inverse(D),inverse(multiply(V_4,V_5)))),V_4))))
% -> V_5
% Rule
% [235]
% inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(multiply(A,C))))),
% multiply(multiply(D,multiply(inverse(D),inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))))) -> V_5 collapsed.
% Current number of equations to process: 2871
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [388]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(D,
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,
% inverse(V_5))))),V_4),C)))),
% multiply(V_5,inverse(B)))) -> A
% Current number of equations to process: 2869
% Current number of ordered equations: 1
% Current number of rules: 278
% New rule produced :
% [389]
% multiply(A,multiply(multiply(B,multiply(multiply(C,multiply(inverse(C),
% inverse(multiply(D,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_4))))))),D)),
% multiply(V_5,inverse(B)))) -> A
% Current number of equations to process: 2869
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [390]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,V_5)))),V_4)),V_5),B)))))),C)
% -> A
% Current number of equations to process: 2867
% Current number of ordered equations: 1
% Current number of rules: 280
% New rule produced :
% [391]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))),C)))),D)
% -> A
% Current number of equations to process: 2867
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [392]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4))))
% Rule
% [350]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) collapsed.
% Current number of equations to process: 2866
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [393]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% Rule
% [351]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% collapsed.
% Current number of equations to process: 2866
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [394]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(
% inverse(D),
% inverse(multiply(V_4,V_5)))),V_4)),V_5)),D)))
% -> C
% Rule
% [191]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),D)))
% -> C collapsed.
% Current number of equations to process: 2868
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [395]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(D,V_4)))),D)),V_4)),
% inverse(inverse(V_5))))) -> V_5
% Rule
% [208]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(
% inverse(D),V_4)))),
% inverse(D))),V_4)),
% inverse(inverse(V_5))))) -> V_5 collapsed.
% Current number of equations to process: 2867
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [396]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,V_5)))),V_4)),V_5)),D))))
% -> C
% Rule
% [252]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(
% multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),D))))
% -> C collapsed.
% Current number of equations to process: 2866
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [397]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(V_4,A))),D))),C))))),B))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Rule
% [265]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(V_4),A))),D))),C))))),B))
% -> V_4 collapsed.
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [398]
% inverse(multiply(multiply(inverse(C),multiply(D,inverse(multiply(V_4,D)))),
% multiply(c3,inverse(multiply(multiply(c3,inverse(multiply(inverse(
% multiply(c3,
% inverse(
% multiply(V_4,c3)))),c3))),c3)))))
% -> C
% Current number of equations to process: 2867
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [399]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(D))),
% inverse(inverse(multiply(D,multiply(V_4,
% inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),V_4)))))))))
% -> B
% Current number of equations to process: 2865
% Current number of ordered equations: 1
% Current number of rules: 283
% New rule produced :
% [400]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5)),C))),B))))))),A)
% -> D
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [401]
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(
% multiply(D,
% multiply(
% multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))),C))),B))))))
% -> A
% Current number of equations to process: 2862
% Current number of ordered equations: 2
% Current number of rules: 285
% New rule produced :
% [402]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(D))),
% inverse(inverse(multiply(D,multiply(V_4,inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),V_4)))))))))
% -> A
% Current number of equations to process: 2862
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced :
% [403]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(
% multiply(D,C)))),D)),
% inverse(multiply(V_4,inverse(multiply(
% inverse(V_5),V_4)))))))),V_5)
% -> A
% Current number of equations to process: 2862
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [404]
% inverse(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(
% multiply(D,
% multiply(
% multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))),C))),B)))))
% -> A
% Current number of equations to process: 2858
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [405]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),B))))))),A)
% -> D
% Current number of equations to process: 2855
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [406]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),
% multiply(D,inverse(
% multiply(
% inverse(V_4),D))))))),
% inverse(C)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_4,inverse(B))))
% Current number of equations to process: 2853
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [407]
% multiply(A,multiply(inverse(multiply(inverse(B),multiply(B,multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% inverse(V_4))))),
% multiply(D,inverse(multiply(inverse(V_5),multiply(A,V_4)))))) ->
% V_5
% Current number of equations to process: 2850
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [408]
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(
% multiply(
% inverse(D),C)))),
% inverse(V_4))))),multiply(B,
% multiply(D,
% inverse(
% multiply(
% inverse(V_5),V_4)))))
% -> V_5
% Current number of equations to process: 2850
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [409]
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(multiply(
% inverse(A),B),
% inverse(C))),inverse(
% multiply(
% inverse(c3),
% multiply(c3,
% multiply(
% multiply(
% inverse(D),B),
% inverse(C))))))))
% -> D
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [410]
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D)))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(A),multiply(A,
% multiply(B,
% inverse(
% multiply(C,B))))),
% inverse(D))))
% Current number of equations to process: 2847
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [411]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(A),multiply(A,
% multiply(B,
% inverse(
% multiply(C,B))))),
% inverse(D)))) <->
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D))))
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [412]
% multiply(inverse(A),multiply(V_5,multiply(multiply(inverse(V_5),multiply(A,
% multiply(
% multiply(A,C),
% inverse(D)))),
% inverse(V_4)))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(D)))),
% inverse(V_4))))
% Current number of equations to process: 2845
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced :
% [413]
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(D)))),
% inverse(V_4)))) <->
% multiply(inverse(A),multiply(V_5,multiply(multiply(inverse(V_5),multiply(A,
% multiply(
% multiply(A,C),
% inverse(D)))),
% inverse(V_4))))
% Current number of equations to process: 2845
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [414]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(V_4,
% inverse(multiply(A,V_4))))),
% inverse(B)))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,multiply(c3,multiply(
% inverse(c3),
% inverse(
% multiply(A,c3))))),
% inverse(B))))
% Current number of equations to process: 2844
% Current number of ordered equations: 1
% Current number of rules: 298
% New rule produced :
% [415]
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,multiply(c3,multiply(
% inverse(c3),
% inverse(
% multiply(A,c3))))),
% inverse(B)))) <->
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(V_4,
% inverse(multiply(A,V_4))))),
% inverse(B))))
% Current number of equations to process: 2844
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [416]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(
% inverse(D),C))),B)))),
% multiply(V_4,multiply(multiply(inverse(V_4),multiply(D,inverse(A))),inverse(
% inverse(V_5)))))
% -> V_5
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [417]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),
% multiply(
% inverse(
% inverse(B)),
% inverse(
% multiply(V_5,
% inverse(C))))),V_5))))))))
% -> D
% Current number of equations to process: 2842
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [418]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(A),
% inverse(
% multiply(D,
% inverse(V_4))))),D))),
% inverse(multiply(inverse(V_5),V_4))))) -> V_5
% Current number of equations to process: 2841
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [419]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),
% multiply(inverse(C),
% inverse(multiply(D,multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))))))),D)),
% multiply(V_5,C))) -> B
% Current number of equations to process: 2840
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [420]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),
% multiply(inverse(C),
% inverse(multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))))))),D)),
% multiply(V_5,C)))) -> B
% Current number of equations to process: 2839
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [421]
% multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_6,multiply(
% inverse(V_6),
% inverse(
% multiply(D,A))))),
% inverse(V_4)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(multiply(D,C))))),
% inverse(V_4))))
% Current number of equations to process: 2838
% Current number of ordered equations: 1
% Current number of rules: 305
% New rule produced :
% [422]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(multiply(D,C))))),
% inverse(V_4)))) <->
% multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_6,multiply(
% inverse(V_6),
% inverse(
% multiply(D,A))))),
% inverse(V_4))))
% Current number of equations to process: 2838
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [423]
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D)))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(B,multiply(
% inverse(B),
% inverse(
% multiply(C,A))))),
% inverse(D))))
% Rule
% [414]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(V_4,
% inverse(multiply(A,V_4))))),
% inverse(B)))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,multiply(c3,multiply(
% inverse(c3),
% inverse(
% multiply(A,c3))))),
% inverse(B)))) collapsed.
% Current number of equations to process: 2837
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [424]
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(B,multiply(
% inverse(B),
% inverse(
% multiply(C,A))))),
% inverse(D)))) <->
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D))))
% Rule
% [415]
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,multiply(c3,multiply(
% inverse(c3),
% inverse(
% multiply(A,c3))))),
% inverse(B)))) <->
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(V_4,
% inverse(multiply(A,V_4))))),
% inverse(B)))) collapsed.
% Current number of equations to process: 2837
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [425]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,C)),V_5))),V_4)))))
% <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(D))))
% Current number of equations to process: 2950
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [426]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,C)),V_5))),V_4)))))
% Current number of equations to process: 2950
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [427]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,
% multiply(B,
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6)))))),V_5))),V_4)))))
% <-> multiply(A,multiply(B,multiply(C,inverse(D))))
% Current number of equations to process: 2970
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [428]
% multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,
% multiply(B,
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6)))))),V_5))),V_4)))))
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [429]
% multiply(C,multiply(V_6,inverse(multiply(multiply(V_7,inverse(multiply(
% inverse(V_5),V_7))),V_6))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,
% multiply(V_4,V_5))))),D)),V_4)))
% Current number of equations to process: 2967
% Current number of ordered equations: 1
% Current number of rules: 311
% Rule [429]
% multiply(C,multiply(V_6,inverse(multiply(multiply(V_7,inverse(multiply(
% inverse(V_5),V_7))),V_6))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(
% multiply(D,
% multiply(V_4,V_5))))),D)),V_4))) is composed into
% [429]
% multiply(C,multiply(V_6,inverse(multiply(multiply(V_7,inverse(multiply(
% inverse(V_5),V_7))),V_6))))
% <->
% multiply(C,multiply(c3,inverse(multiply(multiply(c3,inverse(multiply(
% inverse(V_5),c3))),c3))))
% New rule produced :
% [430]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,
% multiply(V_4,V_5))))),D)),V_4)))
% <->
% multiply(C,multiply(V_6,inverse(multiply(multiply(V_7,inverse(multiply(
% inverse(V_5),V_7))),V_6))))
% Rule
% [36]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(inverse(C)),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> C collapsed.
% Rule
% [84]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> C collapsed.
% Current number of equations to process: 2967
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [431]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(
% inverse(
% inverse(B)),
% inverse(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))))))),C)))),V_4)
% -> B
% Current number of equations to process: 2975
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [432]
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(multiply(V_7,inverse(
% multiply(
% inverse(
% multiply(A,V_4)),V_7))),V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5))))
% Current number of equations to process: 3341
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [433]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(multiply(V_7,inverse(
% multiply(
% inverse(
% multiply(A,V_4)),V_7))),V_6)))))
% Current number of equations to process: 3341
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [434]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(C),C),
% inverse(multiply(D,
% multiply(inverse(V_4),B))))),D)))
% -> V_4
% Current number of equations to process: 3719
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [435]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(c3,multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(B,c3))))),
% multiply(B,inverse(multiply(C,
% inverse(D))))),C)))
% -> D
% Current number of equations to process: 3756
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [436]
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),inverse(multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(C),B))),D)))))),C)
% <->
% multiply(multiply(inverse(D),V_4),multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))),V_5))))
% Current number of equations to process: 3979
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [437]
% multiply(multiply(inverse(D),V_4),multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))),V_5))))
% <->
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),inverse(multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(C),B))),D)))))),C)
% Current number of equations to process: 3979
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [438]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(C,
% inverse(multiply(
% inverse(V_4),V_4)))))))))))
% -> D
% Current number of equations to process: 4459
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [439]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(B,inverse(multiply(inverse(C),C))))) -> A
% Current number of equations to process: 4864
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [440]
% inverse(multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),
% inverse(multiply(B,c3))))),
% multiply(B,inverse(multiply(C,A)))))) -> C
% Current number of equations to process: 4931
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [441]
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(multiply(inverse(C),C)),B))))
% -> inverse(A)
% Rule
% [213]
% inverse(multiply(inverse(A),multiply(A,multiply(A,multiply(inverse(multiply(
% inverse(B),B)),
% multiply(C,inverse(
% multiply(
% inverse(
% multiply(
% inverse(B),B)),C))))))))
% -> inverse(A) collapsed.
% Current number of equations to process: 4946
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [442]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(
% inverse(D),D)))),
% inverse(C)))) -> A
% Rule
% [123]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,
% inverse(multiply(
% inverse(D),D)))),
% inverse(C))))) -> inverse(A) collapsed.
% Current number of equations to process: 4948
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [443]
% multiply(A,multiply(multiply(B,inverse(multiply(C,B))),multiply(multiply(
% inverse(D),D),C)))
% -> A
% Current number of equations to process: 4949
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [444]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C)))
% <-> multiply(inverse(D),D)
% Rule
% [401]
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(
% multiply(D,
% multiply(
% multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))),C))),B))))))
% -> A collapsed.
% Rule
% [404]
% inverse(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(
% multiply(D,
% multiply(
% multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))),C))),B)))))
% -> A collapsed.
% Current number of equations to process: 4951
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [445]
% multiply(A,multiply(inverse(multiply(inverse(B),A)),multiply(inverse(C),C)))
% -> B
% Current number of equations to process: 4955
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [446]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(
% inverse(D),D)))))
% -> multiply(A,C)
% Current number of equations to process: 4966
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [447]
% multiply(A,multiply(B,multiply(V_4,inverse(multiply(inverse(C),V_4))))) <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D)))))
% Rule
% [126]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(multiply(
% inverse(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4))))),C))))),V_5)))
% -> D collapsed.
% Rule
% [329]
% multiply(inverse(B),multiply(B,multiply(multiply(B,C),inverse(multiply(
% inverse(A),
% multiply(B,
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(
% multiply(
% inverse(D),C)),V_4))))))))))
% -> A collapsed.
% Current number of equations to process: 4966
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [448]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D))))) <->
% multiply(A,multiply(B,multiply(V_4,inverse(multiply(inverse(C),V_4)))))
% Current number of equations to process: 4966
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [449]
% multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(B),A))))),
% multiply(inverse(C),C)) -> B
% Current number of equations to process: 4973
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [450]
% inverse(multiply(D,inverse(multiply(C,D)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C)))
% Current number of equations to process: 4978
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [451]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C))) <->
% inverse(multiply(D,inverse(multiply(C,D))))
% Current number of equations to process: 4978
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [452]
% inverse(multiply(C,inverse(multiply(multiply(D,inverse(multiply(inverse(B),D))),C))))
% <-> multiply(inverse(inverse(multiply(inverse(A),A))),B)
% Current number of equations to process: 972
% Current number of ordered equations: 1
% Current number of rules: 326
% New rule produced :
% [453]
% multiply(inverse(inverse(multiply(inverse(A),A))),B) <->
% inverse(multiply(C,inverse(multiply(multiply(D,inverse(multiply(inverse(B),D))),C))))
% Current number of equations to process: 972
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [454]
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(C),C))) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(B,V_4)))))
% Rule
% [445]
% multiply(A,multiply(inverse(multiply(inverse(B),A)),multiply(inverse(C),C)))
% -> B collapsed.
% Current number of equations to process: 986
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [455]
% multiply(inverse(inverse(multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),C))),
% multiply(inverse(D),D)) -> A
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [456]
% inverse(multiply(multiply(C,multiply(D,inverse(multiply(V_4,D)))),V_4)) <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),inverse(C))))
% Current number of equations to process: 984
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [457]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),inverse(C))))
% <-> inverse(multiply(multiply(C,multiply(D,inverse(multiply(V_4,D)))),V_4))
% Current number of equations to process: 984
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [458]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),C),inverse(B))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(A),A),inverse(B))))
% Current number of equations to process: 1028
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [459]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(A),A),inverse(B))))
% <->
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),C),inverse(B))))
% Current number of equations to process: 1028
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [460]
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% multiply(
% inverse(D),D),C))),B))))))
% -> A
% Current number of equations to process: 1027
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [461]
% inverse(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% multiply(
% inverse(D),D),C))),B)))))
% -> A
% Current number of equations to process: 1026
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [462]
% multiply(inverse(inverse(multiply(A,inverse(multiply(B,A))))),multiply(
% inverse(C),C))
% <-> multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(B,V_4)))))
% Rule
% [449]
% multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(B),A))))),
% multiply(inverse(C),C)) -> B collapsed.
% Current number of equations to process: 1025
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [463]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))))),C)
% -> A
% Current number of equations to process: 1023
% Current number of ordered equations: 0
% Current number of rules: 335
% Rule [204]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,
% multiply(V_4,
% multiply(
% multiply(V_5,
% multiply(V_6,
% inverse(
% multiply(V_7,V_6)))),V_7)))))))) is composed into
% [204]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% Rule [78]
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(D,V_7)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5)))))))) is composed into
% [78]
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(D,V_7)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% New rule produced :
% [464]
% multiply(A,multiply(B,multiply(multiply(C,multiply(V_4,inverse(multiply(V_5,V_4)))),V_5)))
% <-> multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D)))))
% Rule
% [44]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,C)))),D)))
% -> B collapsed.
% Rule
% [62]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,C)))),D)))
% -> A collapsed.
% Rule
% [69]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5)))))))))
% -> D collapsed.
% Rule
% [77]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))))))
% <->
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(D,V_7)))))
% collapsed.
% Rule
% [93]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,V_4)))),V_5)))
% -> D collapsed.
% Rule
% [106]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> A
% collapsed.
% Rule
% [116]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6))))))),D)))
% -> V_4 collapsed.
% Rule
% [157]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))))))
% -> D collapsed.
% Rule
% [166]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,V_4)))),V_5)))
% -> A collapsed.
% Rule
% [203]
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(
% multiply(V_5,
% multiply(V_6,
% inverse(
% multiply(V_7,V_6)))),V_7))))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% collapsed.
% Rule
% [209]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(A,multiply(
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))))),
% multiply(V_6,multiply(inverse(V_6),C))) -> D collapsed.
% Rule
% [210]
% multiply(A,multiply(B,multiply(C,multiply(multiply(multiply(inverse(C),
% multiply(multiply(
% inverse(B),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% multiply(V_5,inverse(multiply(V_6,V_5)))),V_6))))
% -> A collapsed.
% Rule
% [211]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(
% multiply(C,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4))),
% inverse(multiply(V_5,C)))),multiply(V_6,multiply(
% inverse(V_6),V_5)))
% -> B collapsed.
% Rule
% [256]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6))))))),D))))
% -> V_4 collapsed.
% Rule
% [345]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(
% multiply(A,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5))),
% inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B)))) collapsed.
% Rule
% [367]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,V_4)))),V_5)))
% -> D collapsed.
% Current number of equations to process: 1032
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [465]
% multiply(A,multiply(multiply(multiply(inverse(B),B),multiply(C,inverse(
% multiply(D,C)))),D))
% -> A
% Current number of equations to process: 1084
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [466]
% inverse(multiply(multiply(inverse(A),A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))))
% -> D
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [467]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(B,inverse(multiply(
% inverse(V_4),V_4))),D)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C))))
% Current number of equations to process: 1096
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [468]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(B,inverse(multiply(
% inverse(V_4),V_4))),D)))))
% Current number of equations to process: 1096
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [469]
% multiply(A,multiply(multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D),
% multiply(multiply(inverse(V_4),V_4),inverse(B)))) -> A
% Current number of equations to process: 1103
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [470]
% multiply(A,multiply(multiply(multiply(inverse(B),B),multiply(multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4)),
% inverse(C))) -> A
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [471]
% inverse(inverse(multiply(inverse(C),C))) <->
% multiply(inverse(A),multiply(A,multiply(inverse(B),B)))
% Current number of equations to process: 1136
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [472]
% multiply(inverse(A),multiply(A,multiply(inverse(B),B))) <->
% inverse(inverse(multiply(inverse(C),C)))
% Current number of equations to process: 1136
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [473]
% multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(inverse(C),C)) -> A
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [474]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,multiply(C,
% inverse(
% multiply(D,C)))),D)),
% inverse(B)))) <-> multiply(inverse(V_4),V_4)
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [475]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% -> D
% Current number of equations to process: 1133
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [476]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(inverse(D),D))))) -> A
% Current number of equations to process: 1132
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [477]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% -> D
% Rule
% [475]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% -> D collapsed.
% Current number of equations to process: 1131
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [478]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(inverse(V_4),V_4))))) -> D
% Current number of equations to process: 1130
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [479]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(V_4),V_4))),C)))),
% multiply(D,inverse(B)))) -> A
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [480]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),V_4),inverse(
% multiply(V_5,
% multiply(C,V_4))))),V_5))
% <-> multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C)))
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [481]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),C)))
% Current number of equations to process: 1128
% Current number of ordered equations: 1
% Current number of rules: 336
% New rule produced :
% [482]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),C))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C)))
% Current number of equations to process: 1128
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [483]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(D,
% multiply(
% inverse(
% multiply(
% inverse(V_4),V_4)),C))))),D))
% -> A
% Current number of equations to process: 1122
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [484]
% inverse(multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(A)))) <-> multiply(inverse(V_4),V_4)
% Current number of equations to process: 1121
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [485]
% inverse(multiply(multiply(C,multiply(multiply(D,multiply(V_4,inverse(
% multiply(V_5,V_4)))),V_5)),
% inverse(D))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),inverse(C))))
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [486]
% multiply(inverse(B),multiply(multiply(inverse(inverse(B)),multiply(C,
% inverse(multiply(D,C)))),D))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),A),c3)))))
% Current number of equations to process: 1119
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [487]
% multiply(B,multiply(V_5,inverse(multiply(inverse(C),V_5)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),V_4))))),D)))
% Current number of equations to process: 1118
% Current number of ordered equations: 1
% Current number of rules: 342
% Rule [487]
% multiply(B,multiply(V_5,inverse(multiply(inverse(C),V_5)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),V_4))))),D))) is composed into
% [487]
% multiply(B,multiply(V_5,inverse(multiply(inverse(C),V_5)))) <->
% multiply(B,multiply(c3,inverse(multiply(inverse(C),c3))))
% New rule produced :
% [488]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),V_4))))),D)))
% <-> multiply(B,multiply(V_5,inverse(multiply(inverse(C),V_5))))
% Current number of equations to process: 1118
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [489]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),A),inverse(
% multiply(C,
% multiply(
% inverse(D),D))))))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% Rule
% [280]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),A),
% inverse(multiply(C,multiply(inverse(D),D)))))))
% -> C collapsed.
% Current number of equations to process: 1117
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [490]
% multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),V_5))))))
% <-> multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D)))))
% Current number of equations to process: 1116
% Current number of ordered equations: 1
% Current number of rules: 344
% New rule produced :
% [491]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D))))) <->
% multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),V_5))))))
% Current number of equations to process: 1116
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [492]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(B,inverse(multiply(C,B))),
% multiply(multiply(inverse(D),D),C)),
% inverse(inverse(V_4))))) -> V_4
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [493]
% inverse(multiply(inverse(A),A)) <->
% multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,inverse(multiply(
% inverse(V_4),D))),
% multiply(inverse(multiply(B,V_4)),C))))
% Current number of equations to process: 1114
% Current number of ordered equations: 1
% Current number of rules: 347
% Rule [493]
% inverse(multiply(inverse(A),A)) <->
% multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(multiply(B,V_4)),C)))) is composed into
% [493] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% Rule [233]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(C),multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),
% multiply(
% inverse(
% multiply(D,V_6)),V_4))))) is composed into
% [233]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(C),inverse(multiply(inverse(c3),c3)))
% Rule [231]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(A,V_6)))))
% <->
% inverse(multiply(A,multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(
% inverse(
% multiply(B,V_4)),C)))))) is composed into
% [231]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(A,V_6)))))
% <-> inverse(multiply(A,inverse(multiply(inverse(c3),c3))))
% Rule [228]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(C),multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),
% multiply(
% inverse(
% multiply(D,V_6)),V_4))))) is composed into
% [228]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(C),inverse(multiply(inverse(c3),c3)))
% New rule produced :
% [494]
% multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,inverse(multiply(
% inverse(V_4),D))),
% multiply(inverse(multiply(B,V_4)),C))))
% <-> inverse(multiply(inverse(A),A))
% Rule
% [79]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(
% inverse(
% multiply(B,V_4)),C))))))
% -> A collapsed.
% Rule
% [222]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(B),C),
% inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(multiply(B,V_4)),C)))),V_5)))
% -> V_5 collapsed.
% Rule
% [224]
% multiply(multiply(multiply(inverse(A),B),inverse(multiply(multiply(C,
% inverse(multiply(
% inverse(D),C))),
% multiply(inverse(multiply(A,D)),B)))),
% multiply(V_4,multiply(inverse(V_4),V_5))) -> V_5 collapsed.
% Rule
% [229]
% multiply(inverse(C),multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),
% multiply(
% inverse(
% multiply(D,V_6)),V_4)))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% collapsed.
% Rule
% [230]
% inverse(multiply(A,multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(
% multiply(B,V_4)),C))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(A,V_6)))))
% collapsed.
% Rule
% [232]
% multiply(inverse(C),multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),
% multiply(
% inverse(
% multiply(D,V_6)),V_4)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% collapsed.
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [495] inverse(multiply(inverse(A),inverse(multiply(inverse(c3),c3)))) -> A
% Current number of equations to process: 1119
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [496]
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(inverse(c3),c3)),V_5)))
% -> V_5
% Current number of equations to process: 1118
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [497]
% multiply(inverse(multiply(inverse(A),A)),multiply(V_4,multiply(inverse(V_4),V_5)))
% -> V_5
% Current number of equations to process: 1117
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [498]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(D))),inverse(C))))
% -> A
% Current number of equations to process: 1112
% Current number of ordered equations: 1
% Current number of rules: 346
% New rule produced :
% [499]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(C),C),D)),
% inverse(inverse(multiply(V_4,inverse(multiply(D,V_4))))))))
% -> A
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [500]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(D))),inverse(C))))
% -> B
% Current number of equations to process: 1109
% Current number of ordered equations: 1
% Current number of rules: 348
% New rule produced :
% [501]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(C),C),D)),
% inverse(inverse(multiply(V_4,inverse(multiply(D,V_4))))))))
% -> B
% Current number of equations to process: 1109
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [502]
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))),D))),C))))))
% <-> multiply(inverse(A),multiply(A,B))
% Current number of equations to process: 1107
% Current number of ordered equations: 1
% Current number of rules: 350
% New rule produced :
% [503]
% multiply(inverse(A),multiply(A,B)) <->
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))),D))),C))))))
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [504]
% multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(C),B)))),
% multiply(C,inverse(multiply(inverse(D),multiply(A,multiply(
% inverse(V_4),V_4)))))))
% -> D
% Current number of equations to process: 1104
% Current number of ordered equations: 1
% Current number of rules: 352
% New rule produced :
% [505]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(inverse(C),B))))),
% multiply(A,multiply(C,inverse(multiply(inverse(D),multiply(inverse(V_4),V_4))))))
% -> D
% Current number of equations to process: 1104
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [506]
% multiply(A,multiply(multiply(inverse(B),B),multiply(C,inverse(inverse(
% multiply(D,
% inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))),D))))))))
% -> A
% Current number of equations to process: 1102
% Current number of ordered equations: 1
% Current number of rules: 354
% New rule produced :
% [507]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(
% inverse(
% inverse(B))),D))),C)))),
% multiply(inverse(V_4),V_4))) -> A
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [508]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% inverse(D)),B)))))),C)
% -> A
% Current number of equations to process: 1100
% Current number of ordered equations: 1
% Current number of rules: 356
% New rule produced :
% [509]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(
% inverse(C),C),D),B)))))),
% inverse(multiply(V_4,inverse(multiply(D,V_4))))) -> A
% Current number of equations to process: 1100
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [510]
% inverse(multiply(V_5,inverse(multiply(V_4,V_5)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(inverse(D),D),V_4)))
% Current number of equations to process: 1099
% Current number of ordered equations: 1
% Current number of rules: 358
% New rule produced :
% [511]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(inverse(D),D),V_4))) <->
% inverse(multiply(V_5,inverse(multiply(V_4,V_5))))
% Current number of equations to process: 1099
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [512]
% multiply(B,multiply(C,inverse(multiply(inverse(multiply(inverse(D),D)),
% multiply(inverse(A),multiply(B,multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4)))))))))
% -> A
% Current number of equations to process: 1098
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [513]
% inverse(multiply(A,multiply(B,inverse(multiply(inverse(multiply(inverse(C),C)),
% multiply(D,multiply(A,multiply(V_4,
% inverse(multiply(
% inverse(B),V_4))))))))))
% -> D
% Current number of equations to process: 1097
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [514]
% multiply(A,multiply(B,multiply(C,multiply(D,inverse(multiply(A,multiply(B,
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% inverse(D),V_4)))))))))))
% <-> multiply(inverse(V_5),V_5)
% Current number of equations to process: 1095
% Current number of ordered equations: 1
% Current number of rules: 362
% New rule produced :
% [515]
% multiply(inverse(V_5),V_5) <->
% multiply(A,multiply(B,multiply(C,multiply(D,inverse(multiply(A,multiply(B,
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% inverse(D),V_4)))))))))))
% Current number of equations to process: 1095
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [516]
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(
% multiply(B,D))))),
% multiply(V_4,inverse(multiply(A,V_4)))))) <->
% multiply(inverse(V_5),V_5)
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 364
% Rule [392]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(
% multiply(D,C)))),D)),
% inverse(V_4)))) is composed into
% [392]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(
% inverse(B)),c3)))),
% inverse(V_4))))
% Rule [324]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,
% multiply(
% multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6)),
% inverse(V_4)),D))))) is composed into
% [324]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,multiply(c3,
% inverse(
% multiply(
% inverse(V_4),c3)))),
% inverse(V_4)),D)))))
% Rule [175]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(
% multiply(D,C)))),D)),
% inverse(V_4)))) is composed into
% [175]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(
% inverse(B)),c3)))),
% inverse(V_4))))
% Rule [173]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(
% multiply(D,C)))),D)),
% inverse(V_4)))) is composed into [173]
% multiply(
% inverse(V_5),
% multiply(V_5,
% multiply(V_6,
% inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,
% multiply(B,
% multiply(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(multiply(
% inverse(
% inverse(A)),c3)))),
% inverse(V_4))))
% New rule produced :
% [517]
% multiply(B,multiply(multiply(C,multiply(V_5,inverse(multiply(V_6,V_5)))),V_6))
% -> multiply(B,multiply(c3,inverse(multiply(inverse(C),c3))))
% Rule
% [68]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(inverse(V_4))))) -> V_4 collapsed.
% Rule
% [72]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% collapsed.
% Rule
% [87]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(C)))) -> A collapsed.
% Rule
% [89]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(C)))) -> B collapsed.
% Rule
% [96]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5)),
% inverse(D))),inverse(C))))
% -> B collapsed.
% Rule
% [119]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(
% multiply(V_4,
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6)),
% inverse(V_4))))))))))
% -> D collapsed.
% Rule
% [121]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(multiply(C,multiply(D,inverse(
% multiply(V_4,D)))),V_4)),
% inverse(C)))) -> A collapsed.
% Rule
% [167]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5)),
% inverse(D))),inverse(C))))
% -> A collapsed.
% Rule
% [168]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))) -> B
% collapsed.
% Rule
% [169]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(
% multiply(D,
% multiply(
% multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5)),C))))))
% -> B collapsed.
% Rule
% [170]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))) -> A
% collapsed.
% Rule
% [171]
% multiply(A,multiply(B,multiply(inverse(B),multiply(C,inverse(multiply(
% multiply(D,
% multiply(
% multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5)),C))))))
% -> A collapsed.
% Rule
% [172]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Rule
% [174]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Rule
% [192]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(
% multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6)),
% inverse(V_4)))))))))
% -> D collapsed.
% Rule
% [196]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(C,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(C))),inverse(
% inverse(V_5)))))
% -> V_5 collapsed.
% Rule
% [202]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4)),
% inverse(
% inverse(V_5))),B)))))),V_5)
% -> A collapsed.
% Rule
% [207]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(
% inverse(B)),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4))),multiply(V_5,multiply(inverse(V_5),V_4)))
% -> B collapsed.
% Rule
% [247]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(multiply(V_4,multiply(V_5,inverse(
% multiply(V_6,V_5)))),V_6)),
% inverse(V_4)))) -> D collapsed.
% Rule
% [248]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% multiply(
% inverse(C),
% multiply(C,
% multiply(D,
% inverse(multiply(V_4,D))))),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6)),V_4)))
% -> B collapsed.
% Rule
% [249]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% multiply(
% inverse(C),
% multiply(C,
% multiply(D,
% inverse(multiply(V_4,D))))),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6)),V_4)))
% -> A collapsed.
% Rule
% [292]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5)),
% inverse(D)),B)))))),C)
% -> A collapsed.
% Rule
% [323]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,multiply(
% multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6)),
% inverse(V_4)),D))))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) collapsed.
% Rule
% [346]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(inverse(A))))) -> A collapsed.
% Rule
% [355]
% multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(inverse(
% multiply(
% inverse(D),
% multiply(
% multiply(A,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))),C))),B))))
% -> D collapsed.
% Rule
% [391]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))),C)))),D)
% -> A collapsed.
% Rule
% [393]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% collapsed.
% Rule
% [403]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(
% multiply(D,C)))),D)),
% inverse(multiply(V_4,inverse(multiply(
% inverse(V_5),V_4)))))))),V_5)
% -> A collapsed.
% Rule
% [444]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C)))
% <-> multiply(inverse(D),D) collapsed.
% Rule
% [464]
% multiply(A,multiply(B,multiply(multiply(C,multiply(V_4,inverse(multiply(V_5,V_4)))),V_5)))
% <-> multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D)))))
% collapsed.
% Rule
% [465]
% multiply(A,multiply(multiply(multiply(inverse(B),B),multiply(C,inverse(
% multiply(D,C)))),D))
% -> A collapsed.
% Rule
% [470]
% multiply(A,multiply(multiply(multiply(inverse(B),B),multiply(multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4)),
% inverse(C))) -> A collapsed.
% Rule
% [474]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,multiply(C,
% inverse(
% multiply(D,C)))),D)),
% inverse(B)))) <-> multiply(inverse(V_4),V_4) collapsed.
% Rule
% [485]
% inverse(multiply(multiply(C,multiply(multiply(D,multiply(V_4,inverse(
% multiply(V_5,V_4)))),V_5)),
% inverse(D))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),inverse(C))))
% collapsed.
% Rule
% [486]
% multiply(inverse(B),multiply(multiply(inverse(inverse(B)),multiply(C,
% inverse(multiply(D,C)))),D))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),A),c3)))))
% collapsed.
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [518]
% multiply(A,multiply(c3,inverse(multiply(inverse(multiply(inverse(B),B)),c3))))
% -> A
% Current number of equations to process: 1111
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [519]
% inverse(multiply(A,multiply(c3,inverse(multiply(inverse(inverse(A)),c3)))))
% <-> multiply(inverse(D),D)
% Current number of equations to process: 1110
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [520]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(
% inverse(B)),c3)))),
% inverse(inverse(V_4))))) -> V_4
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [521]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(c3,inverse(
% multiply(
% inverse(
% inverse(B)),c3)))),
% inverse(inverse(A))))) -> A
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [522]
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(inverse(inverse(B))),c3))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),A),c3)))))
% Current number of equations to process: 1105
% Current number of ordered equations: 1
% Current number of rules: 335
% Rule [522]
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(inverse(
% inverse(B))),c3))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),A),c3))))) is composed into
% [522]
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(inverse(inverse(B))),c3))))
% <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),c3))))
% New rule produced :
% [523]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),A),c3)))))
% <->
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(inverse(inverse(B))),c3))))
% Rule
% [382]
% multiply(A,multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(
% multiply(
% inverse(B),B),c3))))))
% -> A collapsed.
% Current number of equations to process: 1105
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [524]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(c3,inverse(multiply(inverse(B),c3))))) -> A
% Current number of equations to process: 1104
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [525]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(
% multiply(D,
% multiply(c3,
% inverse(
% multiply(
% inverse(
% inverse(D)),c3)))),C))))))
% -> B
% Current number of equations to process: 1102
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [526]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(c3,
% inverse(multiply(
% inverse(
% inverse(C)),c3)))),
% inverse(V_5))),V_5))) -> B
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [527]
% multiply(A,multiply(B,multiply(inverse(B),multiply(C,inverse(multiply(
% multiply(D,
% multiply(c3,
% inverse(
% multiply(
% inverse(
% inverse(D)),c3)))),C))))))
% -> A
% Current number of equations to process: 1100
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [528]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(c3,
% inverse(multiply(
% inverse(
% inverse(C)),c3)))),
% inverse(V_5))),V_5))) -> A
% Current number of equations to process: 1100
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [529]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(
% inverse(
% inverse(A)),c3)))),
% inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Current number of equations to process: 1099
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [530]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(
% inverse(
% inverse(A)),c3)))),
% inverse(V_4))))
% Rule
% [188]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(
% inverse(
% multiply(D,B)),
% multiply(D,C))))),c3)))))
% -> A collapsed.
% Current number of equations to process: 1100
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [531]
% inverse(multiply(D,multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(V_5),V_5))),
% multiply(C,V_4))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,C)))
% Current number of equations to process: 1096
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [532]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(c3,inverse(
% multiply(
% inverse(
% inverse(
% inverse(B))),c3)))),
% inverse(V_4))),multiply(V_5,multiply(inverse(V_5),V_4)))
% -> B
% Current number of equations to process: 1095
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [533]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(A,
% inverse(multiply(
% inverse(c3),c3))))),
% inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B))))
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [534]
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(multiply(
% inverse(A),
% multiply(B,
% inverse(
% multiply(
% inverse(C),C)))),
% inverse(B))),inverse(
% inverse(D)))))
% -> D
% Current number of equations to process: 1093
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [535]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(
% inverse(D),D)))),
% inverse(C))),inverse(
% inverse(V_4)))))
% -> V_4
% Rule
% [534]
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(multiply(
% inverse(A),
% multiply(B,
% inverse(
% multiply(
% inverse(C),C)))),
% inverse(B))),inverse(
% inverse(D)))))
% -> D collapsed.
% Current number of equations to process: 1091
% Current number of ordered equations: 1
% Current number of rules: 345
% New rule produced :
% [536]
% multiply(inverse(inverse(multiply(multiply(A,multiply(c3,inverse(multiply(
% inverse(
% inverse(A)),c3)))),
% inverse(inverse(D))))),multiply(inverse(V_4),V_4))
% -> D
% Current number of equations to process: 1091
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [537]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),B),inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(
% inverse(
% multiply(V_4,D)),V_4))))))
% -> A
% Current number of equations to process: 1088
% Current number of ordered equations: 2
% Current number of rules: 347
% New rule produced :
% [538]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),
% multiply(
% inverse(
% multiply(B,D)),C))))))
% -> A
% Current number of equations to process: 1088
% Current number of ordered equations: 1
% Current number of rules: 348
% New rule produced :
% [539]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(B,C)),
% inverse(multiply(multiply(D,inverse(multiply(
% inverse(C),D))),
% multiply(inverse(V_4),V_4)))))) -> A
% Current number of equations to process: 1088
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [540]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(D),D),
% inverse(multiply(V_4,
% multiply(V_5,C))))),V_4)),V_5)))
% -> B
% Current number of equations to process: 1087
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [541]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(D),D),
% inverse(multiply(V_4,
% multiply(V_5,C))))),V_4)),V_5)))
% -> A
% Current number of equations to process: 1085
% Current number of ordered equations: 1
% Current number of rules: 351
% New rule produced :
% [542]
% multiply(A,multiply(multiply(multiply(B,multiply(multiply(inverse(B),C),
% inverse(multiply(D,multiply(V_4,C))))),D),
% multiply(multiply(inverse(V_5),V_5),V_4))) -> A
% Current number of equations to process: 1085
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [543]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(multiply(inverse(D),D))))) ->
% multiply(A,C)
% Current number of equations to process: 1084
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [544]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(multiply(inverse(V_5),V_5))))) ->
% multiply(A,V_4)
% Current number of equations to process: 1083
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [545]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(A,
% inverse(multiply(
% inverse(V_4),V_4))))),
% inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B))))
% Rule
% [533]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(A,
% inverse(multiply(
% inverse(c3),c3))))),
% inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B)))) collapsed.
% Current number of equations to process: 1082
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [546]
% inverse(multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(c3,inverse(multiply(inverse(A),c3))))) <->
% multiply(inverse(D),D)
% Current number of equations to process: 1081
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [547]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D)),V_4)))
% <-> multiply(inverse(V_5),V_5)
% Current number of equations to process: 1080
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [548]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(c3,
% inverse(
% multiply(
% inverse(
% inverse(C)),c3)))),
% inverse(
% inverse(V_5))),B)))))),V_5)
% -> A
% Current number of equations to process: 1078
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [549]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(
% inverse(B)),c3)))),
% inverse(multiply(V_4,inverse(multiply(
% inverse(V_5),V_4)))))))),V_5)
% -> A
% Current number of equations to process: 1076
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [550]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% Current number of equations to process: 1075
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [551]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% Rule
% [78]
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(D,V_7)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% collapsed.
% Current number of equations to process: 1075
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [552]
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) <->
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(V_4),V_4))))))),D)
% Current number of equations to process: 1074
% Current number of ordered equations: 1
% Current number of rules: 360
% Rule [552]
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) <->
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(multiply(
% inverse(D),C))),
% multiply(
% inverse(V_4),V_4))))))),D) is composed into
% [552]
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) <->
% multiply(A,multiply(c3,inverse(multiply(inverse(B),c3))))
% New rule produced :
% [553]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(V_4),V_4))))))),D)
% <-> multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5))))
% Current number of equations to process: 1074
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [554]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4)))),C))),B))))))),A)
% -> D
% Current number of equations to process: 1072
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [555]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),
% multiply(V_5,C))))),
% multiply(D,V_5))) -> A
% Current number of equations to process: 1071
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [556]
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(multiply(multiply(
% inverse(
% multiply(
% inverse(D),D)),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C))))))
% <-> multiply(inverse(A),multiply(A,B))
% Current number of equations to process: 1069
% Current number of ordered equations: 1
% Current number of rules: 364
% New rule produced :
% [557]
% multiply(inverse(A),multiply(A,B)) <->
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(multiply(multiply(
% inverse(
% multiply(
% inverse(D),D)),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C))))))
% Current number of equations to process: 1069
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [558]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(c3),c3))))))))),D)))
% -> V_4
% Current number of equations to process: 1068
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [559]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),
% inverse(multiply(
% inverse(D),D))))),V_5)))
% -> D
% Current number of equations to process: 1067
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [560]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(A,multiply(B,
% inverse(
% multiply(
% inverse(c3),c3))))))))),
% multiply(V_6,multiply(inverse(V_6),C))) -> D
% Current number of equations to process: 1066
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [561]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,
% inverse(multiply(
% inverse(D),D))))),
% inverse(multiply(V_5,C)))),multiply(V_6,multiply(
% inverse(V_6),V_5)))
% -> B
% Current number of equations to process: 1065
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [562]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(c3),c3))))))))),D))))
% -> V_4
% Current number of equations to process: 1064
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [563]
% multiply(A,multiply(multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C),
% multiply(multiply(inverse(D),D),inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Current number of equations to process: 1061
% Current number of ordered equations: 3
% Current number of rules: 371
% New rule produced :
% [564]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C),
% multiply(multiply(inverse(D),D),inverse(V_4))))
% Current number of equations to process: 1061
% Current number of ordered equations: 2
% Current number of rules: 372
% New rule produced :
% [565]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(multiply(A,inverse(multiply(B,A))),multiply(C,multiply(multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),D),B)),
% inverse(V_4))))
% Current number of equations to process: 1061
% Current number of ordered equations: 1
% Current number of rules: 373
% New rule produced :
% [566]
% multiply(multiply(A,inverse(multiply(B,A))),multiply(C,multiply(multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),D),B)),
% inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Current number of equations to process: 1061
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [567]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_5),V_5))))))))),D)))
% -> V_4
% Rule
% [558]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(c3),c3))))))))),D)))
% -> V_4 collapsed.
% Current number of equations to process: 1060
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [568]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(V_4))))))))))
% -> D
% Current number of equations to process: 1058
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [569]
% inverse(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(multiply(
% inverse(B),D))),
% multiply(inverse(multiply(inverse(V_4),V_4)),C))))))
% -> A
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [570]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_5),V_5))))))))),D))))
% -> V_4
% Rule
% [562]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(c3),c3))))))))),D))))
% -> V_4 collapsed.
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [571]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),V_5))))),V_4)),
% inverse(D)))) -> B
% Current number of equations to process: 1053
% Current number of ordered equations: 2
% Current number of rules: 377
% New rule produced :
% [572]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(multiply(V_5,D)))),V_5)))
% -> B
% Current number of equations to process: 1053
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [573]
% multiply(inverse(inverse(multiply(multiply(A,multiply(multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D)),V_4))),
% multiply(inverse(V_5),V_5)) -> A
% Current number of equations to process: 1053
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [574]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(V_4,inverse(multiply(inverse(V_5),V_5)))),
% inverse(V_4)))) -> D
% Current number of equations to process: 1052
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [575]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),D)))),
% inverse(C)))) -> A
% Current number of equations to process: 1051
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [576]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),V_5))))),V_4)),
% inverse(D)))) -> A
% Current number of equations to process: 1049
% Current number of ordered equations: 1
% Current number of rules: 382
% New rule produced :
% [577]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(multiply(V_5,D)))),V_5)))
% -> A
% Current number of equations to process: 1049
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [578]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),multiply(multiply(
% inverse(C),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6))
% <-> multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C)))
% Current number of equations to process: 1048
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [579]
% inverse(multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(C,
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))),V_5))
% <-> multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C)))
% Current number of equations to process: 1047
% Current number of ordered equations: 1
% Current number of rules: 385
% New rule produced :
% [580]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C))) <->
% inverse(multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(C,
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))),V_5))
% Current number of equations to process: 1047
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [581]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))),
% inverse(V_4)))))))))
% -> D
% Current number of equations to process: 1045
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [582]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))),
% inverse(V_4)),C)))),
% multiply(D,inverse(B)))) -> A
% Current number of equations to process: 1043
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [583]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,multiply(V_4,inverse(multiply(inverse(V_5),V_5)))),
% inverse(V_4)))) -> A
% Current number of equations to process: 1041
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [584]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),multiply(
% multiply(
% inverse(inverse(
% multiply(
% inverse(C),C))),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))
% -> A
% Current number of equations to process: 1040
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [585]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(D,multiply(
% inverse(
% multiply(
% inverse(V_4),V_4)),
% multiply(B,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D))
% -> A
% Current number of equations to process: 1039
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [586]
% multiply(A,multiply(inverse(A),inverse(multiply(inverse(c3),c3)))) <->
% multiply(inverse(V_5),V_5)
% Current number of equations to process: 1037
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [587]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(D))),
% inverse(V_5))),V_5))) -> A
% Current number of equations to process: 1036
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [588]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_5),V_5),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_4)))))))))))
% -> D
% Current number of equations to process: 1034
% Current number of ordered equations: 1
% Current number of rules: 394
% New rule produced :
% [589]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),B),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(V_5),V_5)))))))))))
% -> D
% Current number of equations to process: 1034
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [590]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% multiply(
% inverse(D),D),
% inverse(
% multiply(
% inverse(V_4),
% multiply(A,C)))))),
% inverse(multiply(inverse(V_5),V_4))))) -> V_5
% Current number of equations to process: 1032
% Current number of ordered equations: 1
% Current number of rules: 396
% New rule produced :
% [591]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% inverse(D),
% multiply(A,C))))),
% multiply(multiply(inverse(V_4),V_4),inverse(multiply(inverse(V_5),D)))))
% -> V_5
% Current number of equations to process: 1032
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [592]
% multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(C),B)))),
% multiply(C,inverse(multiply(D,multiply(A,multiply(inverse(V_4),V_4)))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% Rule
% [504]
% multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(C),B)))),
% multiply(C,inverse(multiply(inverse(D),multiply(A,multiply(
% inverse(V_4),V_4)))))))
% -> D collapsed.
% Current number of equations to process: 1030
% Current number of ordered equations: 2
% Current number of rules: 397
% New rule produced :
% [593]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(inverse(C),B))))),
% multiply(A,multiply(C,inverse(multiply(D,multiply(inverse(V_4),V_4))))))
% Current number of equations to process: 1030
% Current number of ordered equations: 1
% Current number of rules: 398
% Rule [593]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(inverse(C),B))))),
% multiply(A,multiply(C,inverse(multiply(D,multiply(inverse(V_4),V_4)))))) is composed into
% [593]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(D,c3)))))
% New rule produced :
% [594]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(inverse(C),B))))),
% multiply(A,multiply(C,inverse(multiply(D,multiply(inverse(V_4),V_4)))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% Rule
% [505]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(inverse(C),B))))),
% multiply(A,multiply(C,inverse(multiply(inverse(D),multiply(inverse(V_4),V_4))))))
% -> D collapsed.
% Current number of equations to process: 1030
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [595]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),B),
% inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,inverse(V_5)))))),
% multiply(D,V_4))) -> V_5
% Current number of equations to process: 1027
% Current number of ordered equations: 2
% Current number of rules: 399
% New rule produced :
% [596]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),V_4))),
% multiply(V_5,C))))),multiply(D,V_5)))
% -> B
% Current number of equations to process: 1027
% Current number of ordered equations: 1
% Current number of rules: 400
% New rule produced :
% [597]
% multiply(multiply(multiply(inverse(inverse(A)),B),inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B)))),
% multiply(multiply(inverse(V_5),V_5),multiply(D,V_4))) -> A
% Current number of equations to process: 1027
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [598]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),B),
% inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,V_5))))),
% multiply(D,V_4)))) -> V_5
% Current number of equations to process: 1024
% Current number of ordered equations: 2
% Current number of rules: 402
% New rule produced :
% [599]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),
% inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),
% multiply(V_5,C))))),
% multiply(D,V_5)))) -> B
% Current number of equations to process: 1024
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [600]
% inverse(multiply(multiply(multiply(inverse(A),B),inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B)))),
% multiply(multiply(inverse(V_5),V_5),multiply(D,V_4)))) -> A
% Current number of equations to process: 1024
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [601]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(V_4))),
% inverse(D))),inverse(C))))
% -> B
% Current number of equations to process: 1020
% Current number of ordered equations: 2
% Current number of rules: 405
% New rule produced :
% [602]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(D),D),V_4)),
% inverse(inverse(multiply(V_5,
% inverse(
% multiply(V_4,V_5))))))),
% inverse(C)))) -> B
% Current number of equations to process: 1020
% Current number of ordered equations: 1
% Current number of rules: 406
% New rule produced :
% [603]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(C),C),
% inverse(D))),inverse(
% inverse(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))))
% -> B
% Current number of equations to process: 1020
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [604]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Current number of equations to process: 1019
% Current number of ordered equations: 1
% Current number of rules: 408
% New rule produced :
% [605]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(V_4))))
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [606]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(V_4))),
% inverse(D))),inverse(C))))
% -> A
% Current number of equations to process: 1016
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [607]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(D))),
% inverse(V_5))),V_5))) -> B
% Current number of equations to process: 1013
% Current number of ordered equations: 1
% Current number of rules: 411
% New rule produced :
% [608]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5))),C))))),D)))),V_4)
% -> A
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [609]
% inverse(multiply(V_5,inverse(multiply(inverse(V_4),V_5)))) <->
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(
% inverse(B),B)),
% inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),V_4)))))),D)
% Current number of equations to process: 1019
% Current number of ordered equations: 1
% Current number of rules: 413
% Rule [609]
% inverse(multiply(V_5,inverse(multiply(inverse(V_4),V_5)))) <->
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),
% multiply(inverse(B),B)),
% inverse(multiply(multiply(C,
% inverse(multiply(
% inverse(D),C))),V_4)))))),D) is composed into
% [609]
% inverse(multiply(V_5,inverse(multiply(inverse(V_4),V_5)))) <->
% inverse(multiply(c3,inverse(multiply(inverse(V_4),c3))))
% New rule produced :
% [610]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(
% inverse(B),B)),
% inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),V_4)))))),D)
% <-> inverse(multiply(V_5,inverse(multiply(inverse(V_4),V_5))))
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 414
% Rule [215]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),
% inverse(multiply(V_5,c3))))),
% multiply(V_6,inverse(multiply(V_4,V_6))))) is composed into
% [215]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% New rule produced :
% [611]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Rule
% [216]
% multiply(V_5,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(V_5,c3))))),
% multiply(V_6,inverse(multiply(V_4,V_6))))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) collapsed.
% Current number of equations to process: 1063
% Current number of ordered equations: 1
% Current number of rules: 414
% New rule produced :
% [612]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D)))))
% Rule
% [64]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B))))) collapsed.
% Current number of equations to process: 1063
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [613]
% multiply(A,multiply(V_4,multiply(inverse(V_4),inverse(multiply(inverse(C),
% inverse(B)))))) <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D)))))
% Current number of equations to process: 1223
% Current number of ordered equations: 1
% Current number of rules: 415
% New rule produced :
% [614]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D))))) <->
% multiply(A,multiply(V_4,multiply(inverse(V_4),inverse(multiply(inverse(C),
% inverse(B))))))
% Rule
% [439]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(B,inverse(multiply(inverse(C),C))))) -> A collapsed.
% Rule
% [476]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(inverse(D),D))))) -> A collapsed.
% Current number of equations to process: 1223
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [615]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(
% inverse(
% multiply(
% inverse(C),
% inverse(B))),
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% Current number of equations to process: 1225
% Current number of ordered equations: 1
% Current number of rules: 415
% New rule produced :
% [616]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(
% inverse(
% multiply(
% inverse(C),
% inverse(B))),
% multiply(
% inverse(V_4),V_4))))))))
% Current number of equations to process: 1225
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [617]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(multiply(
% inverse(C),
% inverse(B))))))))))))
% -> D
% Current number of equations to process: 1227
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [618]
% multiply(B,multiply(C,multiply(D,inverse(multiply(A,multiply(B,multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(D),
% inverse(C)))))))))))
% <-> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Current number of equations to process: 1255
% Current number of ordered equations: 1
% Current number of rules: 418
% New rule produced :
% [619]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) <->
% multiply(B,multiply(C,multiply(D,inverse(multiply(A,multiply(B,multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(D),
% inverse(C)))))))))))
% Current number of equations to process: 1255
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [620]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_6,
% multiply(
% inverse(V_6),
% inverse(
% multiply(
% inverse(V_5),
% inverse(V_4)))))))))))
% Rule
% [619]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) <->
% multiply(B,multiply(C,multiply(D,inverse(multiply(A,multiply(B,multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(D),
% inverse(C)))))))))))
% collapsed.
% Current number of equations to process: 1259
% Current number of ordered equations: 1
% Current number of rules: 419
% New rule produced :
% [621]
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_6,
% multiply(
% inverse(V_6),
% inverse(
% multiply(
% inverse(V_5),
% inverse(V_4)))))))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% Rule
% [618]
% multiply(B,multiply(C,multiply(D,inverse(multiply(A,multiply(B,multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(D),
% inverse(C)))))))))))
% <-> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% collapsed.
% Current number of equations to process: 1259
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [622]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(
% inverse(D),D)))),
% inverse(C))),inverse(V_4))))
% <-> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Current number of equations to process: 1322
% Current number of ordered equations: 1
% Current number of rules: 420
% New rule produced :
% [623]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(
% inverse(D),D)))),
% inverse(C))),inverse(V_4))))
% Current number of equations to process: 1322
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [624]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(multiply(B,inverse(
% multiply(
% inverse(C),B)))),
% multiply(C,inverse(multiply(D,
% multiply(inverse(V_4),
% multiply(inverse(V_5),V_5)))))),D)))
% -> V_4
% Current number of equations to process: 1319
% Current number of ordered equations: 2
% Current number of rules: 422
% New rule produced :
% [625]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),D)))),
% inverse(multiply(inverse(V_4),multiply(B,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5)))))))))
% -> V_4
% Current number of equations to process: 1319
% Current number of ordered equations: 1
% Current number of rules: 423
% New rule produced :
% [626]
% multiply(inverse(inverse(multiply(multiply(A,multiply(B,inverse(multiply(C,
% multiply(
% inverse(D),
% multiply(A,
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))))))))),C))),
% multiply(inverse(V_5),V_5)) -> D
% Current number of equations to process: 1319
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [627]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(inverse(multiply(B,
% inverse(
% multiply(
% inverse(C),B)))),
% multiply(C,inverse(multiply(D,
% multiply(V_4,
% multiply(
% inverse(V_5),V_5)))))),D))))
% -> V_4
% Current number of equations to process: 1316
% Current number of ordered equations: 2
% Current number of rules: 425
% New rule produced :
% [628]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(multiply(
% inverse(D),D)))),
% inverse(multiply(V_4,multiply(B,
% multiply(V_5,
% inverse(multiply(
% inverse(C),V_5))))))))))
% -> V_4
% Current number of equations to process: 1316
% Current number of ordered equations: 1
% Current number of rules: 426
% New rule produced :
% [629]
% inverse(multiply(inverse(inverse(multiply(multiply(A,multiply(B,inverse(
% multiply(C,
% multiply(D,
% multiply(A,
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))))))))),C))),
% multiply(inverse(V_5),V_5))) -> D
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [630]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(B,multiply(C,
% inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),C)))),
% multiply(D,inverse(B))),inverse(
% inverse(V_5)))))
% -> V_5
% Current number of equations to process: 1315
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [631]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),B))))))),A)
% -> C
% Current number of equations to process: 1312
% Current number of ordered equations: 1
% Current number of rules: 429
% New rule produced :
% [632]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))),
% inverse(V_4))),
% inverse(D)),B)))))),C)
% -> A
% Current number of equations to process: 1312
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [633]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(D))),
% inverse(inverse(multiply(D,multiply(V_4,
% inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(V_5),V_5))),V_4)))))))))
% -> B
% Current number of equations to process: 1311
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [634]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(V_4,multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(B),
% inverse(A)))))))))),
% multiply(V_5,multiply(inverse(V_5),C))) -> D
% Current number of equations to process: 1310
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [635]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(V_5,
% multiply(
% inverse(V_5),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))),D)))
% -> V_4
% Current number of equations to process: 1309
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [636]
% multiply(A,multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(D,
% inverse(
% multiply(V_4,
% multiply(A,
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(
% inverse(D),V_5))))))))),V_4))))
% <-> multiply(inverse(V_6),V_6)
% Current number of equations to process: 1307
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [637]
% inverse(multiply(D,multiply(multiply(inverse(D),multiply(multiply(inverse(C),V_4),
% inverse(multiply(V_5,
% multiply(multiply(B,
% inverse(
% multiply(
% inverse(V_6),V_6))),V_4))))),V_5)))
% <-> multiply(inverse(A),multiply(A,multiply(B,C)))
% Current number of equations to process: 1306
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [638]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(B,inverse(multiply(
% inverse(V_5),V_5))),
% multiply(C,multiply(D,multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,C)))
% Current number of equations to process: 1305
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [639]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(V_5,D)),inverse(
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,V_5)))),V_4)))))
% -> C
% Current number of equations to process: 1355
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [640]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(c3,inverse(multiply(inverse(D),c3))))) -> A
% Current number of equations to process: 1354
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [641]
% inverse(inverse(multiply(A,multiply(C,inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),V_4)))),D))),C))))))
% <-> multiply(inverse(inverse(A)),B)
% Current number of equations to process: 1352
% Current number of ordered equations: 2
% Current number of rules: 439
% New rule produced :
% [642]
% multiply(inverse(inverse(A)),B) <->
% inverse(inverse(multiply(A,multiply(C,inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),V_4)))),D))),C))))))
% Current number of equations to process: 1352
% Current number of ordered equations: 1
% Current number of rules: 440
% New rule produced :
% [643]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(D)),B)))))),
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(C),V_5))),V_4))))))
% -> A
% Current number of equations to process: 1352
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [644]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(
% multiply(V_4,D)))),C))),B))))))),A)
% Current number of equations to process: 1351
% Current number of ordered equations: 1
% Current number of rules: 442
% Rule [644]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(
% multiply(V_4,D)))),C))),B))))))),A) is composed into
% [644]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3)))))
% New rule produced :
% [645]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(
% multiply(V_4,D)))),C))),B))))))),A)
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Rule
% [270]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D)))),C))),B))))))),A)
% -> V_4 collapsed.
% Current number of equations to process: 1351
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [646]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(V_4,
% multiply(c3,inverse(
% multiply(
% inverse(
% inverse(V_4)),c3)))),
% inverse(inverse(B))),D)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C))))
% Current number of equations to process: 1350
% Current number of ordered equations: 1
% Current number of rules: 443
% New rule produced :
% [647]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(V_4,
% multiply(c3,inverse(
% multiply(
% inverse(
% inverse(V_4)),c3)))),
% inverse(inverse(B))),D)))))
% Current number of equations to process: 1350
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [648]
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6)),V_4))),D))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C))))
% Current number of equations to process: 1348
% Current number of ordered equations: 1
% Current number of rules: 445
% New rule produced :
% [649]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6)),V_4))),D))))))
% Current number of equations to process: 1348
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [650]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(multiply(
% multiply(
% multiply(D,
% inverse(
% multiply(V_4,D))),
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),C))))),
% multiply(B,V_4))) -> A
% Current number of equations to process: 1346
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [651]
% inverse(inverse(multiply(D,multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(multiply(
% inverse(
% multiply(V_7,
% inverse(
% multiply(V_4,V_7)))),V_6))),V_5))))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,V_4)))
% Current number of equations to process: 1344
% Current number of ordered equations: 1
% Current number of rules: 448
% New rule produced :
% [652]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,V_4))) <->
% inverse(inverse(multiply(D,multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(multiply(
% inverse(
% multiply(V_7,
% inverse(
% multiply(V_4,V_7)))),V_6))),V_5))))))
% Current number of equations to process: 1344
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [653]
% multiply(D,multiply(multiply(inverse(D),V_4),inverse(multiply(multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),
% multiply(inverse(C),V_4)))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),
% multiply(A,
% multiply(B,
% inverse(C)))),c3)))))
% Current number of equations to process: 1343
% Current number of ordered equations: 1
% Current number of rules: 450
% New rule produced :
% [654]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),
% multiply(A,
% multiply(B,
% inverse(C)))),c3)))))
% <->
% multiply(D,multiply(multiply(inverse(D),V_4),inverse(multiply(multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),
% multiply(inverse(C),V_4)))))
% Current number of equations to process: 1343
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [655]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(multiply(inverse(C),
% multiply(C,
% multiply(D,
% inverse(V_4)))),A)))))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(multiply(V_7,
% inverse(
% multiply(
% inverse(D),V_7))),
% multiply(inverse(V_4),V_6)))))
% Rule
% [654]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),
% multiply(A,
% multiply(B,
% inverse(C)))),c3)))))
% <->
% multiply(D,multiply(multiply(inverse(D),V_4),inverse(multiply(multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),
% multiply(inverse(C),V_4)))))
% collapsed.
% Current number of equations to process: 1342
% Current number of ordered equations: 1
% Current number of rules: 451
% New rule produced :
% [656]
% multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(multiply(V_7,
% inverse(
% multiply(
% inverse(D),V_7))),
% multiply(inverse(V_4),V_6)))))
% <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(multiply(inverse(C),
% multiply(C,
% multiply(D,
% inverse(V_4)))),A)))))
% Rule
% [653]
% multiply(D,multiply(multiply(inverse(D),V_4),inverse(multiply(multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),
% multiply(inverse(C),V_4)))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),
% multiply(A,
% multiply(B,
% inverse(C)))),c3)))))
% collapsed.
% Current number of equations to process: 1342
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [657]
% multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(inverse(
% multiply(D,
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(
% inverse(V_5)),V_4)))))),C))),B))))
% -> V_5
% Current number of equations to process: 1339
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [658]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(multiply(V_5,V_6)))),V_5)),V_6)))))))))
% -> D
% Current number of equations to process: 1338
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [659]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,
% inverse(V_5))))),V_4),
% multiply(
% inverse(
% multiply(B,V_5)),C))))))
% -> A
% Current number of equations to process: 1336
% Current number of ordered equations: 1
% Current number of rules: 454
% New rule produced :
% [660]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,B))))),D))),
% multiply(V_5,C))))))
% -> A
% Current number of equations to process: 1336
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [661]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(multiply(V_4,multiply(inverse(V_4),
% inverse(multiply(V_5,V_6)))),V_5)),V_6)))
% -> D
% Current number of equations to process: 1335
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [662]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(multiply(C,multiply(inverse(C),
% inverse(multiply(D,V_4)))),D)),V_4)))
% -> A
% Current number of equations to process: 1333
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [663]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(multiply(D,V_4),inverse(multiply(V_5,multiply(A,V_4))))))
% <->
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(V_5,V_7)))))
% Rule
% [111]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(multiply(D,multiply(A,C)))))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% collapsed.
% Current number of equations to process: 1331
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [664]
% multiply(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(
% inverse(C),
% multiply(
% inverse(D),B)))))),
% multiply(D,multiply(C,inverse(multiply(inverse(V_4),multiply(inverse(V_5),V_5))))))
% -> V_4
% Current number of equations to process: 1328
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [665]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,
% multiply(
% multiply(
% inverse(C),A),
% inverse(multiply(
% inverse(D),
% multiply(
% inverse(V_4),V_4)))))),
% inverse(multiply(inverse(V_5),D))))) -> V_5
% Current number of equations to process: 1327
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [666]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(V_5),V_5))))),
% multiply(V_4,inverse(C)))) -> B
% Current number of equations to process: 1325
% Current number of ordered equations: 1
% Current number of rules: 460
% New rule produced :
% [667]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(
% inverse(V_4)),D))),
% multiply(V_4,C))))),multiply(
% inverse(V_5),V_5)))
% -> B
% Current number of equations to process: 1325
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [668]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),
% inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(V_5),V_5))))),
% multiply(V_4,inverse(C))))) -> B
% Current number of equations to process: 1323
% Current number of ordered equations: 1
% Current number of rules: 462
% New rule produced :
% [669]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),
% inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(
% inverse(V_4)),D))),
% multiply(V_4,C))))),
% multiply(inverse(V_5),V_5)))) -> B
% Current number of equations to process: 1323
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [670]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(
% multiply(
% inverse(B),B),
% inverse(
% multiply(C,
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% inverse(V_5)))))),C)))),V_4)
% -> V_5
% Current number of equations to process: 1319
% Current number of ordered equations: 1
% Current number of rules: 464
% New rule produced :
% [671]
% multiply(inverse(inverse(multiply(multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(C,multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),B)))),
% multiply(multiply(inverse(V_5),V_5),C)))),V_4) -> A
% Current number of equations to process: 1319
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [672]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(V_4),
% multiply(A,multiply(B,
% inverse(
% multiply(
% inverse(V_5),V_5))))))))))),D)
% -> V_4
% Current number of equations to process: 1317
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [673]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))))),
% inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_4))),C)))))),V_5)
% -> B
% Current number of equations to process: 1314
% Current number of ordered equations: 2
% Current number of rules: 467
% New rule produced :
% [674]
% multiply(inverse(inverse(multiply(multiply(A,multiply(B,inverse(multiply(
% inverse(C),B)))),
% multiply(multiply(inverse(D),D),inverse(multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),C)))))),V_5)
% -> A
% Current number of equations to process: 1314
% Current number of ordered equations: 1
% Current number of rules: 468
% New rule produced :
% [675]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))))),
% inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5))),D)))))),V_4)
% -> B
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [676]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),D),
% inverse(multiply(V_4,
% multiply(V_5,V_6))))),V_4)),V_5)),V_6)))
% -> B
% Current number of equations to process: 1312
% Current number of ordered equations: 1
% Current number of rules: 470
% New rule produced :
% [677]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D)))),
% multiply(
% multiply(
% inverse(V_6),V_6),V_4)),V_5)),C)))
% -> B
% Current number of equations to process: 1312
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [678]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_6),V_6))))))))),V_4)),V_5)))
% -> B
% Current number of equations to process: 1311
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [679]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(D))),
% inverse(C))),inverse(
% inverse(V_5)))))
% -> V_5
% Current number of equations to process: 1309
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [680]
% inverse(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(multiply(V_4,D)),
% multiply(V_4,multiply(B,
% inverse(multiply(
% inverse(V_5),V_5))))))))))
% -> A
% Current number of equations to process: 1306
% Current number of ordered equations: 2
% Current number of rules: 474
% New rule produced :
% [681]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))),
% inverse(V_4)),
% multiply(
% inverse(
% multiply(B,D)),C))))))
% -> A
% Current number of equations to process: 1306
% Current number of ordered equations: 1
% Current number of rules: 475
% New rule produced :
% [682]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(multiply(B,C),
% multiply(D,inverse(
% multiply(
% inverse(V_4),V_4))))),
% inverse(multiply(multiply(V_5,inverse(multiply(
% inverse(C),V_5))),D)))))
% -> A
% Current number of equations to process: 1306
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [683]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_6),V_6))))))))),V_4)),V_5)))
% -> A
% Current number of equations to process: 1303
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [684]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(inverse(multiply(A,multiply(inverse(A),inverse(multiply(inverse(B),
% inverse(C)))))),
% multiply(C,multiply(B,inverse(multiply(D,multiply(inverse(V_4),V_4))))))
% Current number of equations to process: 1302
% Current number of ordered equations: 1
% Current number of rules: 478
% Rule [684]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(inverse(multiply(A,multiply(inverse(A),inverse(multiply(
% inverse(B),
% inverse(C)))))),
% multiply(C,multiply(B,inverse(multiply(D,multiply(inverse(V_4),V_4)))))) is composed into
% [684]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(D,c3)))))
% New rule produced :
% [685]
% multiply(inverse(multiply(A,multiply(inverse(A),inverse(multiply(inverse(B),
% inverse(C)))))),
% multiply(C,multiply(B,inverse(multiply(D,multiply(inverse(V_4),V_4)))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% Current number of equations to process: 1302
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [686]
% multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))),
% multiply(inverse(c3),c3)) <->
% multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C)))))
% Current number of equations to process: 1329
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [687]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(B),V_4))),D)))))
% <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(C))))
% Current number of equations to process: 1342
% Current number of ordered equations: 1
% Current number of rules: 481
% New rule produced :
% [688]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(B),V_4))),D)))))
% Current number of equations to process: 1342
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [689]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(C))))
% Current number of equations to process: 1343
% Current number of ordered equations: 1
% Current number of rules: 483
% New rule produced :
% [690]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% Current number of equations to process: 1343
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [691]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(inverse(C),C))))) -> B
% Current number of equations to process: 1366
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [692]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),D)))),
% inverse(C)))) -> B
% Current number of equations to process: 1365
% Current number of ordered equations: 0
% Current number of rules: 486
% Rule [623]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(
% multiply(
% inverse(D),D)))),
% inverse(C))),
% inverse(V_4)))) is composed into [623]
% multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(multiply(V_4,c3)))))
% <->
% multiply(
% inverse(c3),
% multiply(c3,
% multiply(
% multiply(C,
% inverse(multiply(
% inverse(D),D))),
% inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(
% inverse(C),
% inverse(V_4)))))))))
% New rule produced :
% [693]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(D))),V_4))) <->
% multiply(inverse(c3),multiply(c3,multiply(C,inverse(multiply(V_5,multiply(
% inverse(V_5),
% inverse(
% multiply(
% inverse(D),V_4))))))))
% Rule
% [144]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(multiply(D,V_4)))),D)))
% -> multiply(inverse(c3),multiply(c3,multiply(C,inverse(V_4)))) collapsed.
% Rule
% [330]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,D)),
% inverse(V_4))),V_4))) <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% multiply(V_7,
% inverse(
% multiply(D,V_7)))),V_6))),V_5))))
% collapsed.
% Rule
% [622]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(
% inverse(D),D)))),
% inverse(C))),inverse(V_4))))
% <-> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% collapsed.
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [694]
% multiply(inverse(c3),multiply(c3,multiply(C,inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(
% multiply(
% inverse(
% multiply(D,V_4)),D))))))))
% -> multiply(inverse(c3),multiply(c3,multiply(C,inverse(V_4))))
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [695]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,V_4)))),D)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(V_5,multiply(inverse(V_5),
% inverse(multiply(
% inverse(C),
% inverse(A))))),
% inverse(V_4))))
% Current number of equations to process: 1499
% Current number of ordered equations: 1
% Current number of rules: 486
% New rule produced :
% [696]
% multiply(inverse(c3),multiply(c3,multiply(multiply(V_5,multiply(inverse(V_5),
% inverse(multiply(
% inverse(C),
% inverse(A))))),
% inverse(V_4)))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,V_4)))),D)))
% Current number of equations to process: 1499
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [697]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(D,V_5)))))
% Current number of equations to process: 1571
% Current number of ordered equations: 1
% Current number of rules: 488
% New rule produced :
% [698]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(D,V_5)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% Rule
% [204]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% collapsed.
% Current number of equations to process: 1571
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [699]
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) <->
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),D))))),
% multiply(V_4,multiply(inverse(V_4),C)))
% Current number of equations to process: 1776
% Current number of ordered equations: 1
% Current number of rules: 489
% Rule [699]
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) <->
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),D))))),
% multiply(V_4,multiply(inverse(V_4),C))) is composed into [699]
% multiply(A,
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))))
% <->
% multiply(A,
% multiply(c3,
% inverse(
% multiply(
% inverse(B),c3))))
% New rule produced :
% [700]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),D))))),
% multiply(V_4,multiply(inverse(V_4),C))) <->
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5))))
% Current number of equations to process: 1776
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [701]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(A,multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))))))))),
% multiply(C,multiply(inverse(V_5),V_5))) -> D
% Current number of equations to process: 1774
% Current number of ordered equations: 1
% Current number of rules: 491
% New rule produced :
% [702]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(A,multiply(B,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))),
% multiply(V_5,multiply(inverse(V_5),C))) -> D
% Rule
% [560]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(A,multiply(B,
% inverse(
% multiply(
% inverse(c3),c3))))))))),
% multiply(V_6,multiply(inverse(V_6),C))) -> D collapsed.
% Current number of equations to process: 1774
% Current number of ordered equations: 0
% Current number of rules: 491
% Rule [436]
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),inverse(
% multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(C),B))),D)))))),C)
% <->
% multiply(multiply(inverse(D),V_4),multiply(V_5,inverse(multiply(
% multiply(V_6,
% inverse(multiply(
% inverse(V_4),V_6))),V_5)))) is composed into
% [436]
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),inverse(multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(C),B))),D)))))),C)
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(D,c3)))))
% New rule produced :
% [703]
% multiply(multiply(inverse(A),B),multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(B),D))),C))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Rule
% [326]
% multiply(A,multiply(multiply(multiply(inverse(B),C),multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))),D)))),
% multiply(B,inverse(multiply(inverse(V_5),A))))) -> V_5 collapsed.
% Rule
% [353]
% multiply(multiply(inverse(inverse(A)),B),multiply(C,inverse(multiply(
% multiply(D,
% inverse(multiply(
% inverse(B),D))),C))))
% -> A collapsed.
% Rule
% [437]
% multiply(multiply(inverse(D),V_4),multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))),V_5))))
% <->
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),inverse(multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(C),B))),D)))))),C)
% collapsed.
% Current number of equations to process: 1879
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [704]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(B,inverse(multiply(inverse(V_5),A))))) -> V_5
% Current number of equations to process: 1878
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [705]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,
% inverse(multiply(
% multiply(
% inverse(D),D),C))))),
% inverse(V_4))),multiply(V_5,multiply(inverse(V_5),V_4)))
% -> B
% Current number of equations to process: 1888
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [706]
% inverse(multiply(V_5,inverse(multiply(inverse(D),V_5)))) <->
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),B)),
% inverse(multiply(C,D)))),multiply(V_4,multiply(inverse(V_4),C)))
% Current number of equations to process: 1946
% Current number of ordered equations: 1
% Current number of rules: 492
% Rule [706]
% inverse(multiply(V_5,inverse(multiply(inverse(D),V_5)))) <->
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),B)),
% inverse(multiply(C,D)))),multiply(V_4,multiply(
% inverse(V_4),C))) is composed into
% [706]
% inverse(multiply(V_5,inverse(multiply(inverse(D),V_5)))) <->
% inverse(multiply(c3,inverse(multiply(inverse(D),c3))))
% New rule produced :
% [707]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),B)),
% inverse(multiply(C,D)))),multiply(V_4,multiply(inverse(V_4),C)))
% <-> inverse(multiply(V_5,inverse(multiply(inverse(D),V_5))))
% Current number of equations to process: 1946
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [708]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D)))),multiply(V_4,multiply(
% inverse(V_5),V_5)))
% -> B
% Current number of equations to process: 1944
% Current number of ordered equations: 1
% Current number of rules: 494
% New rule produced :
% [709]
% multiply(multiply(multiply(A,multiply(B,inverse(multiply(inverse(C),B)))),
% multiply(multiply(inverse(D),D),inverse(multiply(V_4,C)))),multiply(V_5,
% multiply(
% inverse(V_5),V_4)))
% -> A
% Current number of equations to process: 1944
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [710]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(inverse(inverse(C)),
% inverse(multiply(inverse(D),C))),B)))),D)
% -> A
% Current number of equations to process: 1982
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [711]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(multiply(
% inverse(V_4),D)))),B)))),
% multiply(C,V_4)) -> A
% Current number of equations to process: 2003
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [712]
% multiply(multiply(A,multiply(multiply(B,multiply(inverse(B),inverse(multiply(C,D)))),C)),
% multiply(V_4,multiply(inverse(V_4),D))) -> A
% Current number of equations to process: 2046
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [713]
% inverse(multiply(D,inverse(multiply(C,D)))) <->
% multiply(multiply(inverse(A),A),multiply(B,multiply(inverse(B),C)))
% Current number of equations to process: 2070
% Current number of ordered equations: 1
% Current number of rules: 499
% New rule produced :
% [714]
% multiply(multiply(inverse(A),A),multiply(B,multiply(inverse(B),C))) <->
% inverse(multiply(D,inverse(multiply(C,D))))
% Current number of equations to process: 2070
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [715]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(C,multiply(
% inverse(D),D)))
% -> A
% Current number of equations to process: 2069
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [716]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),B)))),
% multiply(C,D)) -> A
% Current number of equations to process: 2068
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [717]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(inverse(C),
% inverse(multiply(
% inverse(D),
% inverse(V_4))))),B)))),
% multiply(V_4,D)) -> A
% Current number of equations to process: 2077
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [718]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(inverse(inverse(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))))),V_4),B)))),C)
% -> A
% Current number of equations to process: 2099
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [719]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(multiply(
% inverse(D),
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4))))),
% multiply(V_5,C))) ->
% A
% Current number of equations to process: 2098
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [720]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(inverse(V_4),A))))) -> V_4
% Rule
% [704]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(B,inverse(multiply(inverse(V_5),A))))) -> V_5 collapsed.
% Current number of equations to process: 2168
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [721]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D)))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_5)))))
% Current number of equations to process: 2171
% Current number of ordered equations: 1
% Current number of rules: 506
% New rule produced :
% [722]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D))))
% Current number of equations to process: 2171
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [723]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),C)),
% inverse(D)))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_5)))))
% Current number of equations to process: 2170
% Current number of ordered equations: 1
% Current number of rules: 508
% New rule produced :
% [724]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_5)))))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),C)),
% inverse(D))))
% Current number of equations to process: 2170
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [725]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(C,V_4)))),c3)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D))))
% Current number of equations to process: 2169
% Current number of ordered equations: 1
% Current number of rules: 510
% New rule produced :
% [726]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(C,V_4)))),c3)))))
% Current number of equations to process: 2169
% Current number of ordered equations: 0
% Current number of rules: 511
% Rule [652]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,V_4))) <->
% inverse(inverse(multiply(D,multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(
% multiply(
% inverse(
% multiply(V_7,
% inverse(
% multiply(V_4,V_7)))),V_6))),V_5)))))) is composed into
% [652]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,V_4))) <->
% multiply(D,multiply(c3,multiply(inverse(c3),V_4)))
% Rule [642]
% multiply(inverse(inverse(A)),B) <->
% inverse(inverse(multiply(A,multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),V_4)))),D))),C)))))) is composed into
% [642]
% multiply(inverse(inverse(A)),B) <->
% multiply(A,multiply(B,multiply(inverse(B),multiply(V_5,inverse(multiply(
% inverse(B),V_5))))))
% Rule [267]
% multiply(inverse(A),multiply(A,multiply(B,C))) <->
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(V_4,
% inverse(multiply(
% inverse(
% multiply(V_5,
% inverse(
% multiply(C,V_5)))),V_4))),D)))))) is composed into
% [267]
% multiply(inverse(A),multiply(A,multiply(B,C))) <->
% multiply(B,multiply(c3,multiply(inverse(c3),C)))
% New rule produced :
% [727]
% inverse(inverse(multiply(A,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(
% multiply(V_5,
% inverse(
% multiply(C,V_5)))),V_4))),D))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),C)))
% Rule
% [266]
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(
% multiply(V_5,
% inverse(
% multiply(C,V_5)))),V_4))),D))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,C))) collapsed.
% Rule
% [641]
% inverse(inverse(multiply(A,multiply(C,inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),V_4)))),D))),C))))))
% <-> multiply(inverse(inverse(A)),B) collapsed.
% Rule
% [645]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(
% multiply(V_4,D)))),C))),B))))))),A)
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Rule
% [651]
% inverse(inverse(multiply(D,multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(multiply(
% inverse(
% multiply(V_7,
% inverse(
% multiply(V_4,V_7)))),V_6))),V_5))))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,V_4))) collapsed.
% Current number of equations to process: 2172
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [728]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(multiply(A,multiply(c3,multiply(inverse(c3),V_4)))),A)
% Current number of equations to process: 2169
% Current number of ordered equations: 1
% Current number of rules: 509
% Rule [728]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(c3),V_4)))),A) is composed into
% [728]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3)))))
% New rule produced :
% [729]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(c3),V_4)))),A) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 2169
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [730]
% multiply(A,multiply(B,multiply(inverse(B),C))) <->
% multiply(A,multiply(c3,multiply(inverse(c3),C)))
% Current number of equations to process: 2167
% Current number of ordered equations: 1
% Current number of rules: 511
% New rule produced :
% [731]
% multiply(A,multiply(c3,multiply(inverse(c3),C))) <->
% multiply(A,multiply(B,multiply(inverse(B),C)))
% Current number of equations to process: 2167
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [732]
% multiply(V_4,multiply(V_5,multiply(inverse(V_5),inverse(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_4)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D))))
% Rule
% [725]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(C,V_4)))),c3)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D)))) collapsed.
% Current number of equations to process: 2164
% Current number of ordered equations: 1
% Current number of rules: 512
% New rule produced :
% [733]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D)))) <->
% multiply(V_4,multiply(V_5,multiply(inverse(V_5),inverse(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_4)))))
% Rule
% [726]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(C,V_4)))),c3)))))
% collapsed.
% Current number of equations to process: 2164
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [734]
% multiply(multiply(A,multiply(multiply(B,multiply(inverse(B),C)),inverse(D))),
% multiply(V_4,multiply(inverse(V_4),multiply(D,multiply(V_5,inverse(multiply(C,V_5)))))))
% -> A
% Current number of equations to process: 2189
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [735]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(A),V_6))),V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(V_4))))
% Current number of equations to process: 2188
% Current number of ordered equations: 1
% Current number of rules: 514
% New rule produced :
% [736]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(A),V_6))),V_5)))))
% Current number of equations to process: 2188
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [737]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(B,multiply(inverse(B),B))))))
% -> A
% Current number of equations to process: 2213
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [738]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(c3,multiply(inverse(c3),B))))))
% -> A
% Current number of equations to process: 2212
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [739]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(inverse(A)),
% inverse(B)),inverse(multiply(C,
% multiply(
% inverse(C),
% inverse(B)))))))
% -> A
% Current number of equations to process: 2268
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [740]
% multiply(A,multiply(B,multiply(inverse(B),multiply(multiply(inverse(A),
% multiply(inverse(inverse(C)),
% inverse(D))),D)))) -> C
% Current number of equations to process: 2271
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [741]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% inverse(
% multiply(D,V_4))),V_6))),V_5))))
% Rule
% [158]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% inverse(inverse(C)),
% inverse(multiply(D,V_4)))),D)),V_4)))
% -> C collapsed.
% Rule
% [190]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_4),V_5)))),
% inverse(V_4))),V_5)),D)))
% -> C collapsed.
% Rule
% [218]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% <->
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(C,V_7)))))
% collapsed.
% Rule
% [277]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4))))
% <->
% inverse(multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(
% inverse(
% multiply(D,V_4))),V_6))),V_5)))))
% collapsed.
% Current number of equations to process: 2282
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [742]
% multiply(multiply(inverse(inverse(C)),inverse(multiply(D,V_4))),multiply(c3,
% inverse(
% multiply(
% multiply(c3,
% inverse(
% multiply(
% multiply(D,V_4),
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))),c3))))
% -> C
% Current number of equations to process: 2281
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [743]
% multiply(inverse(A),multiply(A,multiply(B,multiply(multiply(inverse(B),
% multiply(inverse(inverse(C)),
% inverse(D))),D)))) -> C
% Current number of equations to process: 2344
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [744]
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% inverse(
% multiply(D,V_4))),V_6))),V_5))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% Current number of equations to process: 2355
% Current number of ordered equations: 1
% Current number of rules: 519
% New rule produced :
% [745]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% inverse(
% multiply(D,V_4))),V_6))),V_5))))
% Rule
% [159]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% inverse(inverse(C)),
% inverse(multiply(D,V_4)))),D)),V_4)))
% -> C collapsed.
% Rule
% [236]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% inverse(C),
% inverse(multiply(
% inverse(D),V_4)))),
% inverse(D))),V_4))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(C,V_6)))))
% collapsed.
% Rule
% [240]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% inverse(C),
% inverse(
% multiply(D,V_4)))),D)),V_4))))
% -> C collapsed.
% Rule
% [394]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(
% inverse(D),
% inverse(multiply(V_4,V_5)))),V_4)),V_5)),D)))
% -> C collapsed.
% Rule
% [396]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,V_5)))),V_4)),V_5)),D))))
% -> C collapsed.
% Rule
% [430]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,
% multiply(V_4,V_5))))),D)),V_4)))
% <->
% multiply(C,multiply(V_6,inverse(multiply(multiply(V_7,inverse(multiply(
% inverse(V_5),V_7))),V_6))))
% collapsed.
% Current number of equations to process: 2360
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [746]
% inverse(multiply(multiply(inverse(C),inverse(multiply(D,V_4))),multiply(c3,
% inverse(
% multiply(
% multiply(c3,
% inverse(
% multiply(
% multiply(D,V_4),
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))),c3)))))
% -> C
% Current number of equations to process: 2359
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [747]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(
% inverse(
% multiply(
% inverse(C),
% inverse(B))),
% multiply(
% inverse(V_4),V_4))))))))
% -> D
% Current number of equations to process: 2449
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [748]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(inverse(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),V_4))))),D))
% -> A
% Current number of equations to process: 2452
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [749]
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,inverse(C))))),
% multiply(multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(V_5,V_4))))),
% multiply(V_5,B))) -> C
% Current number of equations to process: 2451
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [750]
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(C),C)))),multiply(
% multiply(
% inverse(D),
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4))))),
% multiply(V_5,
% inverse(B))))
% -> A
% Current number of equations to process: 2450
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [751]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(C,V_6)))))
% <->
% multiply(multiply(inverse(C),inverse(multiply(D,V_4))),multiply(c3,inverse(
% multiply(
% multiply(c3,
% inverse(
% multiply(
% multiply(D,V_4),
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))),c3))))
% Current number of equations to process: 2448
% Current number of ordered equations: 1
% Current number of rules: 520
% Rule [751]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(C,V_6)))))
% <->
% multiply(multiply(inverse(C),inverse(multiply(D,V_4))),multiply(c3,
% inverse(multiply(
% multiply(c3,
% inverse(
% multiply(
% multiply(D,V_4),
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))),c3)))) is composed into
% [751]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(C,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3)))))
% New rule produced :
% [752]
% multiply(multiply(inverse(C),inverse(multiply(D,V_4))),multiply(c3,inverse(
% multiply(
% multiply(c3,
% inverse(
% multiply(
% multiply(D,V_4),
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))),c3))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(C,V_6)))))
% Rule
% [742]
% multiply(multiply(inverse(inverse(C)),inverse(multiply(D,V_4))),multiply(c3,
% inverse(
% multiply(
% multiply(c3,
% inverse(
% multiply(
% multiply(D,V_4),
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))),c3))))
% -> C collapsed.
% Rule
% [746]
% inverse(multiply(multiply(inverse(C),inverse(multiply(D,V_4))),multiply(c3,
% inverse(
% multiply(
% multiply(c3,
% inverse(
% multiply(
% multiply(D,V_4),
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))),c3)))))
% -> C collapsed.
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [753]
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(multiply(inverse(C),
% inverse(D))),B)))),
% multiply(D,multiply(C,inverse(multiply(inverse(V_4),A))))) -> V_4
% Current number of equations to process: 2466
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [754]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(C,inverse(multiply(
% inverse(D),C)))))),D))
% -> B
% Current number of equations to process: 2562
% Current number of ordered equations: 0
% Current number of rules: 521
% Rule [745]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% inverse(
% multiply(D,V_4))),V_6))),V_5)))) is composed into
% [745]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(inverse(multiply(D,V_4)),V_5))))))
% Rule [741]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% inverse(
% multiply(D,V_4))),V_6))),V_5)))) is composed into
% [741]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(inverse(multiply(D,V_4)),V_5))))))
% Rule [649]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(V_4,
% inverse(multiply(
% inverse(
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6)),V_4))),D)))))) is composed into
% [649]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),D))))))))
% Rule [503]
% multiply(inverse(A),multiply(A,B)) <->
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))),D))),C)))))) is composed into
% [503]
% multiply(inverse(A),multiply(A,B)) <->
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(inverse(
% multiply(
% inverse(V_4),V_4)),C))))))))
% Rule [433]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(multiply(V_7,
% inverse(multiply(
% inverse(
% multiply(A,V_4)),V_7))),V_6))))) is composed into
% [433]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(multiply(A,V_4),V_6)))))))
% Rule [428]
% multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,
% multiply(B,
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6)))))),V_5))),V_4))))) is composed into
% [428]
% multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(A,multiply(multiply(
% inverse(A),
% multiply(
% inverse(B),B)),
% multiply(multiply(A,
% multiply(B,
% multiply(V_6,
% inverse(multiply(
% inverse(C),V_6))))),V_4)))))))
% Rule [426]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),
% inverse(multiply(B,c3))))),
% multiply(multiply(B,C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,C)),V_5))),V_4))))) is composed into
% [426]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(multiply(A,C),V_4)))))))
% Rule [332]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,D)),
% inverse(V_4))),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% multiply(V_7,
% inverse(
% multiply(D,V_7)))),V_6))),V_5)))) is composed into
% [332]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,D)),
% inverse(V_4))),V_4))) <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(multiply(V_7,inverse(
% multiply(D,V_7))),V_5))))))
% Rule [264]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,C)),V_5))),V_4))))) is composed into
% [264]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(multiply(A,C),V_4)))))))
% New rule produced :
% [755]
% multiply(multiply(V_4,inverse(multiply(inverse(C),V_4))),D) <->
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),B)),multiply(C,D)))
% Rule
% [243]
% inverse(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(multiply(
% inverse(
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4))))),D))),
% multiply(V_5,C)))))) -> A collapsed.
% Rule
% [263]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,C)),V_5))),V_4)))))
% <-> multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D))))
% collapsed.
% Rule
% [276]
% inverse(multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(
% inverse(
% multiply(D,V_4))),V_6))),V_5)))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4))))
% collapsed.
% Rule
% [293]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),D))),C))))),
% multiply(B,V_5))) -> A collapsed.
% Rule
% [331]
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% multiply(V_7,
% inverse(
% multiply(D,V_7)))),V_6))),V_5))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,D)),
% inverse(V_4))),V_4)))
% collapsed.
% Rule
% [347]
% multiply(multiply(inverse(inverse(C)),multiply(D,inverse(multiply(V_4,D)))),
% multiply(c3,inverse(multiply(multiply(c3,inverse(multiply(inverse(multiply(c3,
% inverse(
% multiply(V_4,c3)))),c3))),c3))))
% -> C collapsed.
% Rule
% [354]
% multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(inverse(
% multiply(
% inverse(D),
% multiply(V_4,
% inverse(
% multiply(
% inverse(A),V_4))))),C))),B))))
% -> D collapsed.
% Rule
% [397]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(V_4,A))),D))),C))))),B))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Rule
% [398]
% inverse(multiply(multiply(inverse(C),multiply(D,inverse(multiply(V_4,D)))),
% multiply(c3,inverse(multiply(multiply(c3,inverse(multiply(inverse(
% multiply(c3,
% inverse(
% multiply(V_4,c3)))),c3))),c3)))))
% -> C collapsed.
% Rule
% [400]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5)),C))),B))))))),A)
% -> D collapsed.
% Rule
% [425]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,C)),V_5))),V_4)))))
% <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(D)))) collapsed.
% Rule
% [427]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(
% multiply(A,
% multiply(B,
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6)))))),V_5))),V_4)))))
% <-> multiply(A,multiply(B,multiply(C,inverse(D)))) collapsed.
% Rule
% [432]
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(multiply(V_7,inverse(
% multiply(
% inverse(
% multiply(A,V_4)),V_7))),V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) collapsed.
% Rule
% [502]
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(V_4),V_4))),D))),C))))))
% <-> multiply(inverse(A),multiply(A,B)) collapsed.
% Rule
% [507]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(
% inverse(
% inverse(B))),D))),C)))),
% multiply(inverse(V_4),V_4))) -> A collapsed.
% Rule
% [554]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4)))),C))),B))))))),A)
% -> D collapsed.
% Rule
% [648]
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6)),V_4))),D))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) collapsed.
% Rule
% [657]
% multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(inverse(
% multiply(D,
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(
% inverse(V_5)),V_4)))))),C))),B))))
% -> V_5 collapsed.
% Rule
% [660]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,B))))),D))),
% multiply(V_5,C))))))
% -> A collapsed.
% Rule
% [667]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(
% inverse(V_4)),D))),
% multiply(V_4,C))))),multiply(
% inverse(V_5),V_5)))
% -> B collapsed.
% Rule
% [669]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),
% inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(
% inverse(V_4)),D))),
% multiply(V_4,C))))),
% multiply(inverse(V_5),V_5)))) -> B collapsed.
% Rule
% [727]
% inverse(inverse(multiply(A,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(
% multiply(V_5,
% inverse(
% multiply(C,V_5)))),V_4))),D))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),C))) collapsed.
% Rule
% [744]
% multiply(C,multiply(V_5,inverse(multiply(multiply(V_6,inverse(multiply(
% inverse(
% inverse(
% multiply(D,V_4))),V_6))),V_5))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% collapsed.
% Current number of equations to process: 2657
% Current number of ordered equations: 1
% Current number of rules: 499
% New rule produced :
% [756]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),B)),multiply(C,D)))
% <-> multiply(multiply(V_4,inverse(multiply(inverse(C),V_4))),D)
% Current number of equations to process: 2657
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [757]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),D))),V_4)))),
% multiply(C,V_4))) -> B
% Current number of equations to process: 2657
% Current number of ordered equations: 1
% Current number of rules: 501
% New rule produced :
% [758]
% multiply(multiply(inverse(inverse(A)),inverse(multiply(multiply(B,inverse(
% multiply(
% inverse(C),B))),D))),
% multiply(multiply(inverse(V_4),V_4),multiply(C,D))) -> A
% Current number of equations to process: 2657
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [759]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(c3,multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),C))))),C))
% -> B
% Current number of equations to process: 2656
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [760]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(c3,multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(
% inverse(D),D)))))),
% multiply(inverse(V_4),V_4))) -> B
% Current number of equations to process: 2666
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [761]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(multiply(multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),V_5)))),
% multiply(C,V_5))) -> B
% Current number of equations to process: 2664
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [762]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(inverse(V_4))))) -> V_4
% Current number of equations to process: 2817
% Current number of ordered equations: 1
% Current number of rules: 506
% New rule produced :
% [763]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),B))),A))),
% multiply(multiply(inverse(D),D),multiply(C,inverse(inverse(V_4))))) -> V_4
% Current number of equations to process: 2817
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [764]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),B)))),
% multiply(C,inverse(inverse(V_5))))) -> V_5
% Current number of equations to process: 2821
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [765]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(multiply(A,
% multiply(V_6,
% inverse(multiply(V_7,V_6)))),V_7),V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(V_4))))
% Current number of equations to process: 2844
% Current number of ordered equations: 1
% Current number of rules: 509
% New rule produced :
% [766]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(multiply(A,
% multiply(V_6,
% inverse(multiply(V_7,V_6)))),V_7),V_5)))))
% Current number of equations to process: 2844
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [767]
% multiply(A,multiply(B,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(multiply(inverse(D),
% multiply(V_4,inverse(
% multiply(
% inverse(A),V_4)))),B))))))
% -> D
% Current number of equations to process: 2891
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [768]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(c3,multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(
% inverse(
% inverse(B)),C)))))),
% multiply(inverse(V_4),V_4))) -> A
% Current number of equations to process: 2890
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [769]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(
% inverse(D),
% multiply(V_4,
% multiply(
% inverse(V_4),
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5)))))))),B)))),D)
% -> A
% Current number of equations to process: 2889
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [770]
% multiply(multiply(A,multiply(multiply(B,multiply(inverse(B),C)),inverse(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(C,V_5))),V_4))))))),
% multiply(D,multiply(inverse(D),multiply(V_5,inverse(multiply(inverse(D),V_5))))))
% -> A
% Current number of equations to process: 2888
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [771]
% multiply(multiply(A,multiply(C,inverse(multiply(D,C)))),multiply(V_4,
% multiply(multiply(
% inverse(V_4),
% multiply(V_5,
% multiply(
% inverse(V_5),D))),
% inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B))))
% Current number of equations to process: 2887
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [772]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(inverse(inverse(C)),
% inverse(multiply(D,C))),B)))),
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5))))))
% -> A
% Current number of equations to process: 2886
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [773]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(multiply(inverse(C),
% inverse(D))),B)))),
% multiply(D,multiply(C,inverse(multiply(V_4,A)))))
% Current number of equations to process: 2885
% Current number of ordered equations: 1
% Current number of rules: 517
% New rule produced :
% [774]
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(multiply(inverse(C),
% inverse(D))),B)))),
% multiply(D,multiply(C,inverse(multiply(V_4,A))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 2885
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [775]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(multiply(inverse(multiply(D,V_4)),
% multiply(V_6,inverse(
% multiply(V_7,V_6)))),V_7),V_5))))
% Current number of equations to process: 2884
% Current number of ordered equations: 1
% Current number of rules: 519
% New rule produced :
% [776]
% multiply(C,multiply(V_5,inverse(multiply(multiply(multiply(inverse(multiply(D,V_4)),
% multiply(V_6,inverse(
% multiply(V_7,V_6)))),V_7),V_5))))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% Current number of equations to process: 2884
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [777]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% inverse(inverse(C)),D)),
% inverse(V_4))),multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(D,V_5)))))))
% -> C
% Current number of equations to process: 2883
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [778]
% multiply(C,multiply(V_5,inverse(multiply(multiply(multiply(inverse(multiply(D,V_4)),
% multiply(V_6,inverse(
% multiply(V_7,V_6)))),V_7),V_5))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% Current number of equations to process: 2882
% Current number of ordered equations: 1
% Current number of rules: 522
% New rule produced :
% [779]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(multiply(inverse(multiply(D,V_4)),
% multiply(V_6,inverse(
% multiply(V_7,V_6)))),V_7),V_5))))
% Current number of equations to process: 2882
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [780]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(B,V_6)))))
% Rule
% [163]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4))) -> B collapsed.
% Current number of equations to process: 2881
% Current number of ordered equations: 0
% Current number of rules: 523
% Rule [334]
% multiply(inverse(A),multiply(A,multiply(B,C))) <->
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(
% multiply(
% multiply(V_4,
% inverse(multiply(C,V_4))),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6),D)))))) is composed into
% [334]
% multiply(inverse(A),multiply(A,multiply(B,C))) <->
% multiply(B,multiply(c3,multiply(inverse(c3),C)))
% New rule produced :
% [781]
% inverse(inverse(multiply(A,multiply(D,inverse(multiply(multiply(multiply(
% multiply(V_4,
% inverse(
% multiply(C,V_4))),
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),D))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),C)))
% Rule
% [333]
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(multiply(multiply(
% multiply(V_4,
% inverse(
% multiply(C,V_4))),
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),D))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,C))) collapsed.
% Rule
% [405]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),B))))))),A)
% -> D collapsed.
% Current number of equations to process: 2900
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [782]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,D))) <->
% multiply(B,multiply(V_4,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(inverse(multiply(
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6))),D)),V_4))))))
% Rule
% [761]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(multiply(multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),V_5)))),
% multiply(C,V_5))) -> B collapsed.
% Current number of equations to process: 2899
% Current number of ordered equations: 1
% Current number of rules: 522
% New rule produced :
% [783]
% multiply(B,multiply(V_4,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(inverse(multiply(
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6))),D)),V_4))))))
% <-> multiply(A,multiply(multiply(inverse(A),B),multiply(C,D)))
% Current number of equations to process: 2899
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [784]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(multiply(
% multiply(
% inverse(D),D),C))))),
% inverse(inverse(V_4))))) -> V_4
% Current number of equations to process: 3077
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [785]
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(
% multiply(
% multiply(
% inverse(V_4),V_4),D))))),
% inverse(inverse(inverse(B)))))) -> A
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [786]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(C),
% multiply(C,
% multiply(D,
% inverse(multiply(
% multiply(
% inverse(V_4),V_4),D))))),
% inverse(V_5))),V_5))) -> B
% Current number of equations to process: 3114
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [787]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(V_4)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 3125
% Current number of ordered equations: 3
% Current number of rules: 527
% New rule produced :
% [788]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(V_4))))
% Current number of equations to process: 3125
% Current number of ordered equations: 2
% Current number of rules: 528
% New rule produced :
% [789]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),B))),A))),
% multiply(multiply(inverse(D),D),multiply(C,inverse(V_4))))
% Current number of equations to process: 3125
% Current number of ordered equations: 1
% Current number of rules: 529
% New rule produced :
% [790]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),B))),A))),
% multiply(multiply(inverse(D),D),multiply(C,inverse(V_4)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 3125
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [791]
% multiply(multiply(inverse(multiply(A,inverse(multiply(inverse(B),A)))),
% multiply(B,inverse(multiply(C,multiply(inverse(D),multiply(inverse(V_4),V_4)))))),
% multiply(V_5,multiply(inverse(V_5),C))) -> D
% Current number of equations to process: 3124
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [792]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(A),D))))),
% inverse(multiply(inverse(V_4),V_4)))),
% inverse(A)))) -> C
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [793]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(inverse(B)),
% multiply(C,inverse(D))),multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),V_4)))))))
% -> B
% Current number of equations to process: 3122
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [794]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(C,
% inverse(D))),
% multiply(D,multiply(V_4,inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),V_4))))))))
% -> B
% Current number of equations to process: 3121
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [795]
% multiply(multiply(inverse(inverse(A)),multiply(B,inverse(C))),multiply(D,
% multiply(
% inverse(D),
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),V_4)))))))
% -> A
% Current number of equations to process: 3120
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [796]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(B),
% multiply(B,multiply(C,
% inverse(multiply(D,C))))),
% multiply(D,inverse(multiply(inverse(A),
% inverse(V_4))))),
% inverse(A)))) -> V_4
% Current number of equations to process: 3118
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [797]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(B),
% multiply(B,multiply(C,
% inverse(multiply(D,C))))),
% multiply(D,inverse(multiply(inverse(V_4),
% inverse(V_5))))),
% inverse(V_4)))) -> V_5
% Rule
% [796]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(B),
% multiply(B,multiply(C,
% inverse(multiply(D,C))))),
% multiply(D,inverse(multiply(inverse(A),
% inverse(V_4))))),
% inverse(A)))) -> V_4 collapsed.
% Current number of equations to process: 3117
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [798]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(inverse(C)),
% inverse(multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))))))),D)),
% multiply(V_5,inverse(C)))) -> A
% Current number of equations to process: 3116
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced :
% [799]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),C)),
% multiply(D,multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,
% multiply(V_5,
% inverse(
% multiply(
% inverse(D),V_5))))))))))
% -> B
% Current number of equations to process: 3113
% Current number of ordered equations: 1
% Current number of rules: 538
% New rule produced :
% [800]
% multiply(multiply(inverse(inverse(B)),inverse(multiply(multiply(multiply(C,
% multiply(
% inverse(C),
% inverse(
% multiply(D,
% inverse(V_4))))),D),V_5))),
% multiply(c3,inverse(multiply(c3,multiply(multiply(inverse(c3),multiply(
% inverse(c3),c3)),
% multiply(inverse(multiply(multiply(c3,
% inverse(multiply(
% inverse(V_4),c3))),V_5)),c3))))))
% -> B
% Current number of equations to process: 3113
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [801]
% multiply(multiply(inverse(inverse(B)),inverse(multiply(multiply(multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% inverse(D)),V_5))),
% multiply(c3,inverse(multiply(c3,multiply(multiply(inverse(c3),multiply(
% inverse(c3),c3)),
% multiply(inverse(multiply(multiply(c3,
% inverse(multiply(
% inverse(C),c3))),V_5)),c3))))))
% -> B
% Current number of equations to process: 3112
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [802]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% inverse(C),
% inverse(
% multiply(D,
% inverse(V_4))))),D),B)))),
% multiply(V_4,inverse(inverse(V_5))))) -> V_5
% Current number of equations to process: 3109
% Current number of ordered equations: 1
% Current number of rules: 541
% New rule produced :
% [803]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,multiply(
% inverse(B),
% inverse(multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))))))),C)),
% multiply(V_4,inverse(inverse(V_5))))) -> V_5
% Current number of equations to process: 3109
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [804]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% inverse(D)),B)))),
% multiply(C,inverse(inverse(V_5))))) -> V_5
% Current number of equations to process: 3108
% Current number of ordered equations: 0
% Current number of rules: 543
% New rule produced :
% [805]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,
% inverse(multiply(A,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),
% inverse(C))))) -> C
% Current number of equations to process: 3105
% Current number of ordered equations: 1
% Current number of rules: 544
% New rule produced :
% [806]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(c3,inverse(
% multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),
% inverse(inverse(A))))) -> A
% Current number of equations to process: 3105
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [807]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(c3,inverse(
% multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(B,
% inverse(
% multiply(
% inverse(c3),B))))))))),
% inverse(inverse(A))))) -> A
% Current number of equations to process: 3103
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [808]
% multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(c3,inverse(
% multiply(C,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),
% inverse(inverse(A))))) -> A
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [809]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,
% inverse(multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),
% inverse(C))))) -> C
% Current number of equations to process: 3099
% Current number of ordered equations: 1
% Current number of rules: 548
% New rule produced :
% [810]
% multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(c3,inverse(
% multiply(C,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(C,
% inverse(
% multiply(
% inverse(c3),C))))))))),
% inverse(inverse(A))))) -> A
% Current number of equations to process: 3099
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [811]
% multiply(multiply(multiply(inverse(inverse(A)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4))),multiply(V_5,multiply(inverse(V_5),V_4)))
% -> A
% Current number of equations to process: 3096
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [812]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4))))) -> V_4
% Current number of equations to process: 3133
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [813]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(multiply(inverse(D),multiply(V_4,inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),V_4)))),
% multiply(V_6,inverse(C))))
% Rule
% [206]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4)))) collapsed.
% Current number of equations to process: 3165
% Current number of ordered equations: 1
% Current number of rules: 551
% New rule produced :
% [814]
% multiply(D,multiply(multiply(inverse(D),multiply(V_4,inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),V_4)))),
% multiply(V_6,inverse(C)))) <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% Rule
% [205]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% collapsed.
% Current number of equations to process: 3165
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [815]
% multiply(multiply(inverse(inverse(A)),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(inverse(multiply(inverse(V_4),V_4))))) -> A
% Current number of equations to process: 3331
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [816]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(inverse(B)),
% multiply(C,inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),C)))),
% multiply(D,inverse(V_5))),V_5))) -> B
% Current number of equations to process: 3333
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [817]
% inverse(inverse(multiply(A,multiply(D,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(multiply(V_5,
% inverse(
% multiply(C,V_5))),D))))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),C)))
% Current number of equations to process: 3332
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [818]
% multiply(inverse(C),multiply(C,multiply(A,multiply(inverse(multiply(inverse(D),D)),B))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(inverse(multiply(
% inverse(c3),c3)),B))))
% Rule
% [185]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),D)))))
% <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(B,multiply(inverse(
% multiply(
% inverse(c3),c3)),D)))))
% collapsed.
% Current number of equations to process: 3366
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [819]
% inverse(multiply(inverse(A),multiply(A,multiply(B,C)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),
% inverse(multiply(
% inverse(D),D))))))))
% Current number of equations to process: 3365
% Current number of ordered equations: 1
% Current number of rules: 555
% Rule [819]
% inverse(multiply(inverse(A),multiply(A,multiply(B,C)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(D),D)))))))) is composed into
% [819]
% inverse(multiply(inverse(A),multiply(A,multiply(B,C)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(B,C))))
% New rule produced :
% [820]
% inverse(multiply(inverse(c3),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),
% inverse(multiply(
% inverse(D),D))))))))
% <-> inverse(multiply(inverse(A),multiply(A,multiply(B,C))))
% Current number of equations to process: 3365
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [821]
% inverse(multiply(inverse(A),B)) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(C),C),
% multiply(inverse(multiply(inverse(c3),c3)),
% inverse(multiply(inverse(B),A)))))))
% Current number of equations to process: 3364
% Current number of ordered equations: 1
% Current number of rules: 557
% New rule produced :
% [822]
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(C),C),
% multiply(inverse(multiply(inverse(c3),c3)),
% inverse(multiply(inverse(B),A)))))))
% <-> inverse(multiply(inverse(A),B))
% Current number of equations to process: 3364
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [823]
% inverse(multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(inverse(A),
% inverse(inverse(C))))))))
% <-> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Current number of equations to process: 3364
% Current number of ordered equations: 1
% Current number of rules: 559
% New rule produced :
% [824]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) <->
% inverse(multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(inverse(A),
% inverse(inverse(C))))))))
% Current number of equations to process: 3364
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [825]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% -> inverse(A)
% Current number of equations to process: 3392
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [826]
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(inverse(
% inverse(C)),D),B)))))
% Current number of equations to process: 3400
% Current number of ordered equations: 1
% Current number of rules: 562
% Rule [826]
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(
% inverse(
% inverse(C)),D),B))))) is composed into
% [826]
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(C,multiply(inverse(
% multiply(
% inverse(c3),c3)),D)))))
% New rule produced :
% [827]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(inverse(
% inverse(C)),D),B)))))
% <->
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% Current number of equations to process: 3400
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [828]
% inverse(multiply(A,multiply(B,multiply(inverse(B),multiply(multiply(inverse(A),
% multiply(inverse(C),C)),D)))))
% -> inverse(D)
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [829]
% inverse(multiply(multiply(A,inverse(B)),multiply(C,multiply(inverse(C),
% multiply(multiply(
% inverse(D),D),B)))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Current number of equations to process: 3564
% Current number of ordered equations: 1
% Current number of rules: 565
% New rule produced :
% [830]
% inverse(multiply(A,multiply(multiply(multiply(inverse(A),multiply(B,inverse(C))),C),
% multiply(inverse(D),D)))) ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3)))))
% Current number of equations to process: 3564
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [831]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,
% inverse(
% multiply(
% inverse(D),D)))))),C)))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3)))))
% Current number of equations to process: 3563
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced :
% [832]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(c3),multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))))
% Current number of equations to process: 3637
% Current number of ordered equations: 1
% Current number of rules: 568
% Rule [832]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(c3),multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))) is composed into
% [832]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) <->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(c3)))))
% New rule produced :
% [833]
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(c3),multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))))
% <-> inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A)))))
% Current number of equations to process: 3637
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [834]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,
% inverse(
% multiply(
% inverse(D),C)))))),D)))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3)))))
% Current number of equations to process: 3730
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [835]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(c3,
% multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),C))))),C)))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3)))))
% Current number of equations to process: 3738
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [836]
% inverse(multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,
% inverse(inverse(V_4))))))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),
% multiply(A,
% multiply(B,
% inverse(
% multiply(C,B))))),c3)))))
% Current number of equations to process: 3764
% Current number of ordered equations: 1
% Current number of rules: 572
% Rule [836]
% inverse(multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,
% inverse(
% inverse(V_4))))))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),
% multiply(A,
% multiply(B,
% inverse(
% multiply(C,B))))),c3))))) is composed into
% [836]
% inverse(multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,
% inverse(inverse(V_4))))))))
% <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,
% inverse(
% inverse(c3))))))))
% New rule produced :
% [837]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),
% multiply(A,
% multiply(B,
% inverse(
% multiply(C,B))))),c3)))))
% <->
% inverse(multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,
% inverse(inverse(V_4))))))))
% Current number of equations to process: 3764
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [838]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))),V_4)))),
% multiply(C,V_4)))) ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3)))))
% Current number of equations to process: 3817
% Current number of ordered equations: 1
% Current number of rules: 574
% New rule produced :
% [839]
% inverse(multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(
% inverse(C),B))),D))),
% multiply(multiply(inverse(V_4),V_4),multiply(C,D)))) ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Current number of equations to process: 3817
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [840]
% multiply(A,multiply(B,multiply(c3,inverse(multiply(B,multiply(c3,multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% -> A
% Current number of equations to process: 3909
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [841]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),
% inverse(B)))))) ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(c3)))))
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [842]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(multiply(c3,
% multiply(c3,
% multiply(inverse(c3),
% inverse(multiply(C,c3))))),A)))))
% <->
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% Current number of equations to process: 3992
% Current number of ordered equations: 1
% Current number of rules: 578
% New rule produced :
% [843]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(multiply(c3,
% multiply(c3,
% multiply(inverse(c3),
% inverse(multiply(C,c3))))),A)))))
% Rule
% [740]
% multiply(A,multiply(B,multiply(inverse(B),multiply(multiply(inverse(A),
% multiply(inverse(inverse(C)),
% inverse(D))),D)))) -> C
% collapsed.
% Current number of equations to process: 3992
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [844]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(c3,
% multiply(c3,
% multiply(inverse(c3),
% inverse(multiply(C,c3))))),B)))))
% Current number of equations to process: 3991
% Current number of ordered equations: 1
% Current number of rules: 579
% New rule produced :
% [845]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(c3,
% multiply(c3,
% multiply(inverse(c3),
% inverse(multiply(C,c3))))),B)))))
% <->
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% Current number of equations to process: 3991
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [846]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,V_4))) <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),multiply(multiply(inverse(V_5),
% multiply(V_4,
% inverse(V_7))),V_7))))
% Current number of equations to process: 3990
% Current number of ordered equations: 1
% Current number of rules: 581
% New rule produced :
% [847]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),multiply(multiply(inverse(V_5),
% multiply(V_4,
% inverse(V_7))),V_7))))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,V_4)))
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [848]
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(multiply(V_7,inverse(
% multiply(D,V_7))),V_5))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,D),inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% Current number of equations to process: 4026
% Current number of ordered equations: 1
% Current number of rules: 583
% New rule produced :
% [849]
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,D),inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(multiply(V_7,inverse(
% multiply(D,V_7))),V_5))))))
% Current number of equations to process: 4026
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [850]
% multiply(multiply(multiply(inverse(inverse(C)),multiply(inverse(D),inverse(
% multiply(V_4,V_5)))),V_4),
% multiply(c3,inverse(multiply(multiply(c3,inverse(multiply(multiply(V_5,D),
% multiply(c3,multiply(
% inverse(c3),
% multiply(V_5,
% inverse(
% multiply(
% inverse(c3),V_5)))))))),c3))))
% -> C
% Current number of equations to process: 4025
% Current number of ordered equations: 0
% Current number of rules: 585
% New rule produced :
% [851]
% inverse(multiply(multiply(multiply(inverse(C),multiply(inverse(D),inverse(
% multiply(V_4,V_5)))),V_4),
% multiply(c3,inverse(multiply(multiply(c3,inverse(multiply(multiply(V_5,D),
% multiply(c3,
% multiply(inverse(c3),
% multiply(V_5,
% inverse(multiply(
% inverse(c3),V_5)))))))),c3)))))
% -> C
% Current number of equations to process: 4024
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [852]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),B))))))),
% multiply(A,multiply(inverse(A),multiply(c3,inverse(multiply(inverse(A),c3))))))
% -> D
% Current number of equations to process: 4023
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [853]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(inverse(inverse(C)),
% inverse(multiply(inverse(D),C))),
% multiply(inverse(V_4),multiply(A,
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))))))))),D)
% -> V_4
% Current number of equations to process: 4022
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [854]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(multiply(multiply(inverse(inverse(V_4)),inverse(
% multiply(
% inverse(V_5),V_4))),D)))),V_5)
% -> B
% Current number of equations to process: 4021
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [855]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(multiply(V_4,D)))),B)))),
% multiply(C,multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))))
% -> A
% Current number of equations to process: 4020
% Current number of ordered equations: 0
% Current number of rules: 590
% New rule produced :
% [856]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(inverse(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),V_4))))),D))
% -> A
% Current number of equations to process: 4018
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [857]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(multiply(C,D),
% inverse(V_4))),B)))),
% multiply(C,multiply(C,multiply(V_5,multiply(multiply(inverse(V_5),D),
% inverse(V_4)))))) -> A
% Current number of equations to process: 4017
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [858]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(multiply(V_4,D)))),B)))),
% multiply(C,multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))))
% -> A
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced :
% [859]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(multiply(V_4,D)))),B)))),
% multiply(C,multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))))
% -> A
% Rule
% [858]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(multiply(V_4,D)))),B)))),
% multiply(C,multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))))
% -> A collapsed.
% Current number of equations to process: 4015
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced :
% [860]
% multiply(A,multiply(B,multiply(inverse(C),multiply(C,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(A),
% multiply(
% inverse(
% inverse(D)),
% inverse(C))),V_4)),
% inverse(multiply(
% inverse(C),V_4)))))))
% -> D
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced :
% [861]
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(B,multiply(
% multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(
% inverse(D)),
% inverse(B))),V_4)),
% inverse(
% multiply(
% inverse(B),V_4)))))))
% -> D
% Current number of equations to process: 4012
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [862]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(
% inverse(D),
% multiply(V_4,
% multiply(V_5,
% multiply(
% inverse(V_5),
% inverse(
% multiply(
% inverse(C),
% inverse(
% inverse(V_4)))))))))),B)))),D)
% -> A
% Current number of equations to process: 4011
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [863]
% multiply(multiply(A,multiply(B,inverse(multiply(C,D)))),multiply(V_4,
% multiply(inverse(V_4),C)))
% <->
% multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),
% inverse(
% multiply(
% inverse(D),V_6))))))
% Rule
% [150]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D)))),multiply(V_5,multiply(
% inverse(V_5),V_4)))
% -> B collapsed.
% Rule
% [371]
% multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,
% multiply(D,B))))),
% multiply(V_4,multiply(inverse(V_4),C))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% collapsed.
% Rule
% [561]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,
% inverse(multiply(
% inverse(D),D))))),
% inverse(multiply(V_5,C)))),multiply(V_6,multiply(
% inverse(V_6),V_5)))
% -> B collapsed.
% Rule
% [707]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),B)),
% inverse(multiply(C,D)))),multiply(V_4,multiply(inverse(V_4),C)))
% <-> inverse(multiply(V_5,inverse(multiply(inverse(D),V_5)))) collapsed.
% Rule
% [709]
% multiply(multiply(multiply(A,multiply(B,inverse(multiply(inverse(C),B)))),
% multiply(multiply(inverse(D),D),inverse(multiply(V_4,C)))),multiply(V_5,
% multiply(
% inverse(V_5),V_4)))
% -> A collapsed.
% Rule
% [791]
% multiply(multiply(inverse(multiply(A,inverse(multiply(inverse(B),A)))),
% multiply(B,inverse(multiply(C,multiply(inverse(D),multiply(inverse(V_4),V_4)))))),
% multiply(V_5,multiply(inverse(V_5),C))) -> D collapsed.
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [864]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(c3,
% multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(inverse(
% inverse(
% inverse(C))),B)))))),
% multiply(inverse(D),D))) -> C
% Current number of equations to process: 4015
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [865]
% inverse(multiply(inverse(A),multiply(A,B))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(C,multiply(inverse(
% multiply(
% inverse(c3),c3)),
% multiply(inverse(
% inverse(
% multiply(
% inverse(D),D))),
% inverse(multiply(
% inverse(B),C))))))))
% Current number of equations to process: 4014
% Current number of ordered equations: 1
% Current number of rules: 593
% Rule [865]
% inverse(multiply(inverse(A),multiply(A,B))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(C,multiply(inverse(
% multiply(
% inverse(c3),c3)),
% multiply(inverse(
% inverse(
% multiply(
% inverse(D),D))),
% inverse(multiply(
% inverse(B),C)))))))) is composed into
% [865]
% inverse(multiply(inverse(A),multiply(A,B))) <->
% inverse(multiply(inverse(c3),multiply(c3,B)))
% New rule produced :
% [866]
% inverse(multiply(inverse(c3),multiply(c3,multiply(C,multiply(inverse(
% multiply(
% inverse(c3),c3)),
% multiply(inverse(
% inverse(
% multiply(
% inverse(D),D))),
% inverse(multiply(
% inverse(B),C))))))))
% <-> inverse(multiply(inverse(A),multiply(A,B)))
% Current number of equations to process: 4014
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced :
% [867]
% inverse(multiply(inverse(B),multiply(B,multiply(C,multiply(inverse(multiply(
% inverse(D),D)),
% multiply(inverse(C),
% multiply(V_4,inverse(
% multiply(
% inverse(A),V_4)))))))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [868]
% inverse(multiply(inverse(B),multiply(B,multiply(C,multiply(inverse(multiply(
% inverse(D),D)),
% multiply(inverse(C),
% multiply(A,inverse(
% multiply(
% inverse(V_4),V_4)))))))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Current number of equations to process: 4012
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [869]
% multiply(A,multiply(multiply(multiply(B,multiply(C,inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(V_5,
% inverse(multiply(
% inverse(C),V_5))))))))),D),
% multiply(multiply(inverse(V_6),V_6),V_4))) -> A
% Current number of equations to process: 4011
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [870]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(inverse(D),
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(C))))
% Rule
% [186]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(
% inverse(B)),D),c3)))))
% <->
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),D)))))
% collapsed.
% Current number of equations to process: 4140
% Current number of ordered equations: 1
% Current number of rules: 597
% New rule produced :
% [871]
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(inverse(D),
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(C)))) <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 598
% New rule produced :
% [872]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% Current number of equations to process: 4139
% Current number of ordered equations: 1
% Current number of rules: 599
% New rule produced :
% [873]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% Rule
% [827]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(inverse(
% inverse(C)),D),B)))))
% <->
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% collapsed.
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [874]
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(inverse(D),
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(C)))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% Current number of equations to process: 4139
% Current number of ordered equations: 1
% Current number of rules: 600
% New rule produced :
% [875]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(inverse(D),
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(C))))
% Current number of equations to process: 4139
% Current number of ordered equations: 0
% Current number of rules: 601
% New rule produced :
% [876]
% inverse(multiply(inverse(A),multiply(inverse(inverse(A)),inverse(multiply(
% inverse(B),B)))))
% <-> multiply(inverse(C),C)
% Current number of equations to process: 4183
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [877]
% inverse(multiply(inverse(multiply(inverse(A),A)),multiply(B,multiply(
% multiply(
% inverse(B),
% multiply(
% inverse(C),C)),
% inverse(D))))) ->
% D
% Current number of equations to process: 4181
% Current number of ordered equations: 1
% Current number of rules: 603
% New rule produced :
% [878]
% inverse(multiply(A,multiply(multiply(inverse(A),inverse(multiply(inverse(B),B))),
% multiply(multiply(inverse(C),C),inverse(D))))) -> D
% Current number of equations to process: 4181
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [879]
% multiply(A,multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(
% inverse(B),
% inverse(
% multiply(
% inverse(D),D)))),
% inverse(A))))) <->
% multiply(inverse(V_4),V_4)
% Current number of equations to process: 4180
% Current number of ordered equations: 0
% Current number of rules: 605
% New rule produced :
% [880]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C)))),
% inverse(D))),multiply(V_4,multiply(inverse(V_4),D))) -> B
% Current number of equations to process: 4189
% Current number of ordered equations: 0
% Current number of rules: 606
% New rule produced :
% [881]
% multiply(A,multiply(multiply(B,multiply(inverse(B),inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4))) -> A
% Current number of equations to process: 4359
% Current number of ordered equations: 0
% Current number of rules: 607
% New rule produced :
% [882]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(C),
% inverse(multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))))))),D)),
% multiply(V_5,C))) -> A
% Rule
% [798]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(inverse(C)),
% inverse(multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))))))),D)),
% multiply(V_5,inverse(C)))) -> A collapsed.
% Current number of equations to process: 4404
% Current number of ordered equations: 0
% Current number of rules: 607
% New rule produced :
% [883]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% <->
% multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),multiply(inverse(V_4),
% inverse(multiply(
% inverse(V_6),V_6)))),
% inverse(D))))
% Current number of equations to process: 4403
% Current number of ordered equations: 1
% Current number of rules: 608
% New rule produced :
% [884]
% multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),multiply(inverse(V_4),
% inverse(multiply(
% inverse(V_6),V_6)))),
% inverse(D)))) <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% Rule
% [194]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),
% inverse(D))))) -> D collapsed.
% Current number of equations to process: 4404
% Current number of ordered equations: 0
% Current number of rules: 608
% New rule produced :
% [885]
% inverse(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C)))),D)))))
% -> D
% Current number of equations to process: 4403
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [886]
% multiply(inverse(A),multiply(inverse(inverse(A)),inverse(multiply(multiply(B,
% inverse(
% multiply(
% inverse(C),B))),
% inverse(multiply(
% inverse(
% inverse(D)),C))))))
% -> D
% Current number of equations to process: 4421
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [887]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(C),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,B))))),
% multiply(V_4,V_5))) -> A
% Current number of equations to process: 4453
% Current number of ordered equations: 0
% Current number of rules: 611
% New rule produced :
% [888]
% inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),
% multiply(V_4,V_5))) <-> multiply(inverse(A),A)
% Current number of equations to process: 4452
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [889]
% multiply(multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),
% multiply(inverse(C),
% inverse(multiply(inverse(D),D)))),
% inverse(V_4))),V_4)),multiply(V_5,
% multiply(
% inverse(V_5),C)))
% -> A
% Current number of equations to process: 4472
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [890]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(
% inverse(V_5),V_5))))),
% multiply(V_4,inverse(C)))) -> A
% Current number of equations to process: 4471
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [891]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,D)))))
% Rule
% [361]
% multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B))))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% collapsed.
% Rule
% [362]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) <->
% multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B)))))
% collapsed.
% Current number of equations to process: 4571
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [892]
% multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B))))))
% <-> multiply(inverse(D),D)
% Current number of equations to process: 4651
% Current number of ordered equations: 1
% Current number of rules: 614
% New rule produced :
% [893]
% multiply(inverse(D),D) <->
% multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B))))))
% Current number of equations to process: 4651
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced :
% [894]
% inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A)))))) -> V_4
% Current number of equations to process: 4708
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [895]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(inverse(V_4),V_4))))) -> D
% Rule
% [691]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(inverse(C),C))))) -> B collapsed.
% Current number of equations to process: 4707
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [896]
% inverse(multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),
% inverse(multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A)))))) -> V_4
% Rule
% [440]
% inverse(multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),
% inverse(multiply(B,c3))))),
% multiply(B,inverse(multiply(C,A)))))) -> C collapsed.
% Current number of equations to process: 4706
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [897]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(multiply(D,
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,D))))),
% multiply(V_5,C))) ->
% A
% Current number of equations to process: 4705
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [898]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% Current number of equations to process: 4704
% Current number of ordered equations: 1
% Current number of rules: 618
% New rule produced :
% [899]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D)))))
% Current number of equations to process: 4704
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [900]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Rule
% [380]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(B,inverse(multiply(C,A))))) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% collapsed.
% Current number of equations to process: 4703
% Current number of ordered equations: 1
% Current number of rules: 619
% New rule produced :
% [901]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A)))))
% Rule
% [381]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(B,inverse(multiply(C,A))))) collapsed.
% Current number of equations to process: 4703
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [902]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% Rule
% [376]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B))))) <->
% multiply(D,multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,D)))))
% collapsed.
% Rule
% [898]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3)))))
% collapsed.
% Current number of equations to process: 4702
% Current number of ordered equations: 1
% Current number of rules: 618
% New rule produced :
% [903]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D)))))
% Rule
% [377]
% multiply(D,multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,D))))) <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B))))) collapsed.
% Rule
% [899]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) collapsed.
% Current number of equations to process: 4702
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [904]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% Current number of equations to process: 4701
% Current number of ordered equations: 1
% Current number of rules: 618
% New rule produced :
% [905]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A)))))
% Current number of equations to process: 4701
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [906]
% inverse(multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(D,
% multiply(A,
% multiply(V_4,
% inverse(multiply(
% inverse(B),V_4))))))))),
% multiply(V_5,multiply(inverse(V_5),C)))) -> D
% Current number of equations to process: 4700
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [907]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(
% multiply(
% multiply(
% inverse(
% multiply(D,A)),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C))))),B)))
% -> D
% Current number of equations to process: 4699
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [908]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(D,C))),B)))))),
% multiply(V_4,multiply(V_5,multiply(inverse(V_5),inverse(multiply(D,V_4))))))
% -> A
% Current number of equations to process: 4816
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [909]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% multiply(
% inverse(V_4),V_4),D))),C))))),
% multiply(B,inverse(multiply(V_5,A)))))) -> V_5
% Current number of equations to process: 4152
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [910]
% inverse(multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(C,
% multiply(A,B)))))))),
% multiply(inverse(D),D)))) -> C
% Current number of equations to process: 4231
% Current number of ordered equations: 0
% Current number of rules: 624
% New rule produced :
% [911]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),C))))),
% multiply(B,inverse(multiply(V_5,multiply(A,D))))))) -> V_5
% Current number of equations to process: 4249
% Current number of ordered equations: 0
% Current number of rules: 625
% New rule produced :
% [912]
% multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),
% multiply(inverse(B),
% inverse(multiply(inverse(D),D)))),
% inverse(V_4)))),multiply(V_4,
% inverse(multiply(
% inverse(V_5),A)))))
% -> V_5
% Current number of equations to process: 4248
% Current number of ordered equations: 0
% Current number of rules: 626
% New rule produced :
% [913]
% inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(multiply(D,C))))),
% multiply(multiply(D,multiply(inverse(A),inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(V_5))))) -> V_5
% Current number of equations to process: 4246
% Current number of ordered equations: 1
% Current number of rules: 627
% New rule produced :
% [914]
% inverse(multiply(multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))),
% multiply(D,multiply(multiply(inverse(D),multiply(C,inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(V_5))))) -> V_5
% Current number of equations to process: 4246
% Current number of ordered equations: 0
% Current number of rules: 628
% New rule produced :
% [915]
% multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),
% multiply(inverse(B),
% inverse(multiply(inverse(D),D)))),
% inverse(A)))),multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_4)))))
% -> V_5
% Current number of equations to process: 4245
% Current number of ordered equations: 0
% Current number of rules: 629
% New rule produced :
% [916]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(D),D)))),
% inverse(V_5))))) -> V_5
% Current number of equations to process: 4244
% Current number of ordered equations: 0
% Current number of rules: 630
% New rule produced :
% [917]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(B,V_6)))))
% <->
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),
% inverse(multiply(inverse(C),C)))),
% inverse(D))),multiply(V_4,multiply(inverse(V_4),D)))
% Current number of equations to process: 4243
% Current number of ordered equations: 1
% Current number of rules: 631
% Rule [917]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(B,V_6)))))
% <->
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),
% inverse(multiply(
% inverse(C),C)))),
% inverse(D))),multiply(V_4,multiply(inverse(V_4),D))) is composed into
% [917]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(B,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(B,c3)))))
% New rule produced :
% [918]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),
% inverse(multiply(inverse(C),C)))),
% inverse(D))),multiply(V_4,multiply(inverse(V_4),D))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(B,V_6)))))
% Rule
% [880]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),C)))),
% inverse(D))),multiply(V_4,multiply(inverse(V_4),D))) -> B
% collapsed.
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 631
% New rule produced :
% [919]
% multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),
% multiply(inverse(B),
% inverse(multiply(inverse(D),D)))),
% inverse(A)))),multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_5)))))
% -> V_4
% Current number of equations to process: 4242
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [920]
% multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(V_4),D))),
% multiply(inverse(multiply(
% inverse(A),V_4)),C)))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Current number of equations to process: 4240
% Current number of ordered equations: 0
% Current number of rules: 633
% New rule produced :
% [921]
% inverse(multiply(inverse(inverse(A)),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(multiply(multiply(c3,inverse(
% multiply(
% inverse(c3),c3))),
% inverse(multiply(inverse(
% multiply(C,B)),c3)))))))
% -> C
% Current number of equations to process: 4239
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [922]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% inverse(D)),B)))),
% multiply(C,inverse(V_5))))) -> V_5
% Current number of equations to process: 4236
% Current number of ordered equations: 2
% Current number of rules: 635
% New rule produced :
% [923]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(
% multiply(
% inverse(C),C),D),B)))),
% multiply(inverse(multiply(V_4,inverse(multiply(D,V_4)))),
% inverse(V_5))))) -> V_5
% Current number of equations to process: 4236
% Current number of ordered equations: 1
% Current number of rules: 636
% New rule produced :
% [924]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(
% multiply(
% inverse(
% inverse(C)),
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),B)))),
% multiply(inverse(V_5),V_5)))) -> C
% Current number of equations to process: 4236
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [925]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% inverse(multiply(
% inverse(V_7),V_7)))),
% inverse(D))))
% Current number of equations to process: 4499
% Current number of ordered equations: 1
% Current number of rules: 638
% New rule produced :
% [926]
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% inverse(multiply(
% inverse(V_7),V_7)))),
% inverse(D)))) <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% Current number of equations to process: 4499
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [927]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% <->
% multiply(V_4,multiply(V_5,multiply(V_6,inverse(multiply(D,multiply(V_4,
% multiply(V_5,
% multiply(V_7,
% inverse(multiply(
% inverse(V_6),V_7))))))))))
% Current number of equations to process: 4498
% Current number of ordered equations: 1
% Current number of rules: 640
% New rule produced :
% [928]
% multiply(V_4,multiply(V_5,multiply(V_6,inverse(multiply(D,multiply(V_4,
% multiply(V_5,
% multiply(V_7,
% inverse(multiply(
% inverse(V_6),V_7))))))))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% Current number of equations to process: 4498
% Current number of ordered equations: 0
% Current number of rules: 641
% New rule produced :
% [929]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% inverse(multiply(
% inverse(V_7),V_7)))),
% inverse(V_4))))
% Current number of equations to process: 4497
% Current number of ordered equations: 1
% Current number of rules: 642
% New rule produced :
% [930]
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% inverse(multiply(
% inverse(V_7),V_7)))),
% inverse(V_4)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D)))))
% Current number of equations to process: 4497
% Current number of ordered equations: 0
% Current number of rules: 643
% New rule produced :
% [931]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% <->
% multiply(V_4,multiply(multiply(inverse(V_5),multiply(V_5,multiply(V_6,
% inverse(multiply(V_4,V_6))))),
% multiply(V_7,inverse(multiply(D,V_7)))))
% Current number of equations to process: 4496
% Current number of ordered equations: 1
% Current number of rules: 644
% New rule produced :
% [932]
% multiply(V_4,multiply(multiply(inverse(V_5),multiply(V_5,multiply(V_6,
% inverse(multiply(V_4,V_6))))),
% multiply(V_7,inverse(multiply(D,V_7))))) <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% Current number of equations to process: 4496
% Current number of ordered equations: 0
% Current number of rules: 645
% New rule produced :
% [933]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% inverse(multiply(
% inverse(V_7),V_7)))),
% inverse(V_4))))
% Current number of equations to process: 4495
% Current number of ordered equations: 1
% Current number of rules: 646
% New rule produced :
% [934]
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% inverse(multiply(
% inverse(V_7),V_7)))),
% inverse(V_4)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A)))))
% Current number of equations to process: 4495
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [935]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(A))))) <->
% multiply(inverse(V_6),V_6)
% Current number of equations to process: 4494
% Current number of ordered equations: 0
% Current number of rules: 648
% New rule produced :
% [936]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),D)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),inverse(
% multiply(
% inverse(
% inverse(B)),D)))))
% Current number of equations to process: 4557
% Current number of ordered equations: 1
% Current number of rules: 649
% New rule produced :
% [937]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),inverse(
% multiply(
% inverse(
% inverse(B)),D)))))
% <->
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),D)))))
% Current number of equations to process: 4557
% Current number of ordered equations: 0
% Current number of rules: 650
% New rule produced :
% [938]
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),
% multiply(inverse(inverse(C)),D)))))
% Current number of equations to process: 4556
% Current number of ordered equations: 1
% Current number of rules: 651
% New rule produced :
% [939]
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),
% multiply(inverse(inverse(C)),D)))))
% <->
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 652
% New rule produced :
% [940]
% multiply(inverse(inverse(A)),multiply(c3,inverse(multiply(multiply(c3,
% inverse(multiply(
% inverse(c3),c3))),
% multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(multiply(inverse(B),B),c3))))))
% -> A
% Current number of equations to process: 4555
% Current number of ordered equations: 0
% Current number of rules: 653
% New rule produced :
% [941]
% inverse(multiply(A,multiply(inverse(multiply(inverse(B),B)),multiply(
% inverse(multiply(C,
% inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C)))),
% inverse(multiply(V_5,
% multiply(A,V_4)))))))
% -> V_5
% Current number of equations to process: 4553
% Current number of ordered equations: 1
% Current number of rules: 654
% New rule produced :
% [942]
% inverse(multiply(inverse(A),multiply(inverse(multiply(B,multiply(C,inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(A),D))),C))))),
% multiply(B,inverse(multiply(V_4,multiply(
% inverse(V_5),V_5)))))))
% -> V_4
% Current number of equations to process: 4553
% Current number of ordered equations: 0
% Current number of rules: 655
% New rule produced :
% [943]
% inverse(multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))))),
% multiply(V_4,multiply(multiply(inverse(V_4),C),inverse(multiply(V_5,A))))))
% -> V_5
% Current number of equations to process: 4551
% Current number of ordered equations: 1
% Current number of rules: 656
% New rule produced :
% [944]
% inverse(multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))))),
% multiply(D,multiply(multiply(inverse(V_4),V_4),inverse(multiply(V_5,A))))))
% -> V_5
% Current number of equations to process: 4551
% Current number of ordered equations: 0
% Current number of rules: 657
% New rule produced :
% [945]
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),
% multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))),D))))))))
% <-> multiply(A,multiply(inverse(A),multiply(B,inverse(C))))
% Current number of equations to process: 4751
% Current number of ordered equations: 1
% Current number of rules: 658
% New rule produced :
% [946]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),
% multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))),D))))))))
% Current number of equations to process: 4751
% Current number of ordered equations: 0
% Current number of rules: 659
% New rule produced :
% [947]
% multiply(A,multiply(V_5,inverse(multiply(inverse(C),V_5)))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),V_4))))),D)))
% Current number of equations to process: 4958
% Current number of ordered equations: 1
% Current number of rules: 660
% Rule [947]
% multiply(A,multiply(V_5,inverse(multiply(inverse(C),V_5)))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),V_4))))),D))) is composed into
% [947]
% multiply(A,multiply(V_5,inverse(multiply(inverse(C),V_5)))) <->
% multiply(A,multiply(c3,inverse(multiply(inverse(C),c3))))
% New rule produced :
% [948]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),V_4))))),D)))
% <-> multiply(A,multiply(V_5,inverse(multiply(inverse(C),V_5))))
% Current number of equations to process: 4958
% Current number of ordered equations: 0
% Current number of rules: 661
% New rule produced :
% [949]
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(multiply(inverse(C),C)),
% multiply(D,multiply(inverse(A),
% multiply(V_4,inverse(
% multiply(
% inverse(B),V_4)))))))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(D,c3)))))
% Current number of equations to process: 4962
% Current number of ordered equations: 0
% Current number of rules: 662
% New rule produced :
% [950]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(V_4,V_8)))))
% Current number of equations to process: 4961
% Current number of ordered equations: 0
% Current number of rules: 663
% New rule produced :
% [951]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,V_5))))),
% multiply(D,V_4))) <->
% multiply(B,multiply(V_6,inverse(multiply(multiply(V_7,inverse(multiply(
% inverse(V_5),V_7))),V_6))))
% Rule
% [48]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),multiply(V_4,V_5)))
% -> B collapsed.
% Rule
% [52]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),
% inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),
% multiply(V_4,V_5)))) -> B collapsed.
% Current number of equations to process: 4960
% Current number of ordered equations: 0
% Current number of rules: 662
% New rule produced :
% [952]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(multiply(multiply(A,C),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6),V_4)))))
% <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(D))))
% Current number of equations to process: 4958
% Current number of ordered equations: 1
% Current number of rules: 663
% New rule produced :
% [953]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(multiply(multiply(A,C),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6),V_4)))))
% Current number of equations to process: 4958
% Current number of ordered equations: 0
% Current number of rules: 664
% New rule produced :
% [954]
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(multiply(multiply(
% multiply(A,V_4),
% multiply(V_7,
% inverse(multiply(V_8,V_7)))),V_8),V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5))))
% Current number of equations to process: 4957
% Current number of ordered equations: 1
% Current number of rules: 665
% New rule produced :
% [955]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(multiply(multiply(
% multiply(A,V_4),
% multiply(V_7,
% inverse(multiply(V_8,V_7)))),V_8),V_6)))))
% Current number of equations to process: 4957
% Current number of ordered equations: 0
% Current number of rules: 666
% New rule produced :
% [956]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(A,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),V_4)))
% ->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,multiply(c3,inverse(
% multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),V_4)))
% Rule
% [805]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,
% inverse(multiply(A,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),
% inverse(C))))) -> C collapsed.
% Rule
% [806]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(c3,inverse(
% multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),
% inverse(inverse(A))))) -> A collapsed.
% Current number of equations to process: 4956
% Current number of ordered equations: 0
% Current number of rules: 665
% New rule produced :
% [957]
% multiply(D,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(D,c3))))),
% multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B)))))
% Current number of equations to process: 4952
% Current number of ordered equations: 0
% Current number of rules: 666
% New rule produced :
% [958]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% <->
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(D,V_8)))))
% Current number of equations to process: 4949
% Current number of ordered equations: 3
% Current number of rules: 667
% New rule produced :
% [959]
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(D,V_8))))) <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% Current number of equations to process: 4949
% Current number of ordered equations: 2
% Current number of rules: 668
% New rule produced :
% [960]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% Current number of equations to process: 4947
% Current number of ordered equations: 3
% Current number of rules: 669
% New rule produced :
% [961]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A)))))
% Current number of equations to process: 4947
% Current number of ordered equations: 2
% Current number of rules: 670
% New rule produced :
% [962]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(V_4,V_8)))))
% Current number of equations to process: 4946
% Current number of ordered equations: 3
% Current number of rules: 671
% New rule produced :
% [963]
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(V_4,V_8))))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A)))))
% Current number of equations to process: 4946
% Current number of ordered equations: 2
% Current number of rules: 672
% New rule produced :
% [964]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(D))),V_4))))
% <->
% multiply(inverse(V_4),multiply(inverse(inverse(D)),inverse(multiply(multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),
% multiply(V_6,
% inverse(multiply(
% inverse(C),V_6)))))))
% Current number of equations to process: 4945
% Current number of ordered equations: 3
% Current number of rules: 673
% New rule produced :
% [965]
% multiply(inverse(V_4),multiply(inverse(inverse(D)),inverse(multiply(multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),
% multiply(V_6,
% inverse(multiply(
% inverse(C),V_6)))))))
% <->
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(D))),V_4))))
% Current number of equations to process: 4945
% Current number of ordered equations: 2
% Current number of rules: 674
% New rule produced :
% [966]
% multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))),
% multiply(B,multiply(C,multiply(inverse(C),multiply(multiply(inverse(B),
% multiply(A,inverse(D))),D)))))
% <-> multiply(inverse(V_4),V_4)
% Current number of equations to process: 4943
% Current number of ordered equations: 2
% Current number of rules: 675
% New rule produced :
% [967]
% inverse(multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,multiply(D,
% inverse(
% multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(V_6,
% inverse(
% multiply(
% inverse(D),V_6))))))))),V_4)),V_5)))
% <-> multiply(inverse(A),A)
% Current number of equations to process: 4941
% Current number of ordered equations: 2
% Current number of rules: 676
% New rule produced :
% [968]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% Rule
% [141]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_5),V_6))))))))))
% collapsed.
% Current number of equations to process: 4941
% Current number of ordered equations: 1
% Current number of rules: 676
% New rule produced :
% [969]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D)))))
% Rule
% [140]
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_5),V_6))))))))))
% <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B))))) collapsed.
% Current number of equations to process: 4941
% Current number of ordered equations: 0
% Current number of rules: 676
% New rule produced :
% [970]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(V_4,V_8)))))
% Current number of equations to process: 4940
% Current number of ordered equations: 1
% Current number of rules: 677
% New rule produced :
% [971]
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(V_4,V_8))))) <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D)))))
% Current number of equations to process: 4940
% Current number of ordered equations: 0
% Current number of rules: 678
% New rule produced :
% [972]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% Current number of equations to process: 4939
% Current number of ordered equations: 1
% Current number of rules: 679
% New rule produced :
% [973]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A)))))
% Current number of equations to process: 4939
% Current number of ordered equations: 0
% Current number of rules: 680
% New rule produced :
% [974]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(inverse(C),
% inverse(inverse(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))),D))))))))))))
% -> inverse(multiply(A,B))
% Current number of equations to process: 4937
% Current number of ordered equations: 2
% Current number of rules: 681
% New rule produced :
% [975]
% multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),D))))),
% multiply(C,inverse(multiply(A,multiply(B,V_5))))))) <->
% multiply(inverse(V_6),V_6)
% Current number of equations to process: 4937
% Current number of ordered equations: 0
% Current number of rules: 682
% New rule produced :
% [976]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(D,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% Current number of equations to process: 4936
% Current number of ordered equations: 1
% Current number of rules: 683
% New rule produced :
% [977]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(D,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% Current number of equations to process: 4936
% Current number of ordered equations: 0
% Current number of rules: 684
% New rule produced :
% [978]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(D,c3))))),A))))),D)))
% -> c3
% Current number of equations to process: 4035
% Current number of ordered equations: 0
% Current number of rules: 685
% New rule produced :
% [979]
% multiply(multiply(inverse(A),B),multiply(C,inverse(multiply(multiply(
% multiply(B,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4),C))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3)))))
% Current number of equations to process: 4298
% Current number of ordered equations: 0
% Current number of rules: 686
% New rule produced :
% [980]
% inverse(multiply(multiply(inverse(B),B),multiply(C,inverse(multiply(multiply(
% multiply(A,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),C)))))
% -> A
% Current number of equations to process: 4311
% Current number of ordered equations: 0
% Current number of rules: 687
% New rule produced :
% [981]
% inverse(multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(B)))) <-> multiply(inverse(A),A)
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 688
% New rule produced :
% [982]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(
% inverse(D),D),V_4),C)))),
% multiply(inverse(multiply(V_5,inverse(multiply(V_4,V_5)))),
% inverse(B)))) -> A
% Current number of equations to process: 4314
% Current number of ordered equations: 1
% Current number of rules: 689
% New rule produced :
% [983]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(
% inverse(
% inverse(B)),
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),C)))),
% multiply(inverse(V_5),V_5))) -> A
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 690
% New rule produced :
% [984]
% inverse(multiply(inverse(A),multiply(inverse(B),inverse(multiply(multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),
% inverse(multiply(B,C)))))))
% -> A
% Current number of equations to process: 4493
% Current number of ordered equations: 0
% Current number of rules: 691
% New rule produced :
% [985]
% inverse(multiply(inverse(A),A)) <->
% multiply(multiply(inverse(B),C),inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5),
% multiply(inverse(multiply(B,D)),C))))
% Current number of equations to process: 4593
% Current number of ordered equations: 1
% Current number of rules: 692
% Rule [985]
% inverse(multiply(inverse(A),A)) <->
% multiply(multiply(inverse(B),C),inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),
% multiply(inverse(multiply(B,D)),C)))) is composed into
% [985] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% New rule produced :
% [986]
% multiply(multiply(inverse(B),C),inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5),
% multiply(inverse(multiply(B,D)),C))))
% <-> inverse(multiply(inverse(A),A))
% Rule
% [221]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),
% multiply(
% inverse(
% multiply(B,D)),C))))))
% -> A collapsed.
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 692
% New rule produced :
% [987]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),B),inverse(multiply(
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),
% multiply(
% inverse(
% multiply(V_5,C)),V_5))))))
% -> A
% Current number of equations to process: 4598
% Current number of ordered equations: 1
% Current number of rules: 693
% New rule produced :
% [988]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(B,C)),
% inverse(multiply(multiply(multiply(C,multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),
% multiply(inverse(V_5),V_5)))))) -> A
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 694
% New rule produced :
% [989]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% inverse(
% multiply(A,D))))),V_4)))
% -> V_4
% Current number of equations to process: 4681
% Current number of ordered equations: 0
% Current number of rules: 695
% New rule produced :
% [990]
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(A),A)))) <->
% multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,inverse(multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B)))
% Current number of equations to process: 4680
% Current number of ordered equations: 1
% Current number of rules: 696
% Rule [990]
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(A),A)))) <->
% multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))) is composed into [990]
% multiply(inverse(c3),
% multiply(c3,inverse(multiply(
% inverse(A),A))))
% <->
% multiply(inverse(c3),
% multiply(c3,inverse(multiply(
% inverse(c3),c3))))
% New rule produced :
% [991]
% multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,inverse(multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(A),A))))
% Rule
% [90]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B)))) -> A collapsed.
% Rule
% [102]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(B,multiply(C,
% inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))),inverse(
% inverse(V_5)))))
% -> V_5 collapsed.
% Rule
% [241]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(multiply(B,multiply(C,
% inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))),
% inverse(V_5))))) -> V_5 collapsed.
% Rule
% [484]
% inverse(multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(A)))) <-> multiply(inverse(V_4),V_4) collapsed.
% Current number of equations to process: 4684
% Current number of ordered equations: 0
% Current number of rules: 693
% New rule produced :
% [992]
% multiply(A,multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(c3),c3)))))
% -> A
% Rule
% [752]
% multiply(multiply(inverse(C),inverse(multiply(D,V_4))),multiply(c3,inverse(
% multiply(
% multiply(c3,
% inverse(
% multiply(
% multiply(D,V_4),
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))),c3))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(C,V_6)))))
% collapsed.
% Rule
% [808]
% multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(c3,inverse(
% multiply(C,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),
% inverse(inverse(A))))) -> A collapsed.
% Rule
% [809]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,
% inverse(multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),
% inverse(C))))) -> C collapsed.
% Rule
% [825]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% -> inverse(A) collapsed.
% Rule
% [833]
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(c3),multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3)))))))))
% <-> inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A)))))
% collapsed.
% Rule
% [840]
% multiply(A,multiply(B,multiply(c3,inverse(multiply(B,multiply(c3,multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))))
% -> A collapsed.
% Rule
% [956]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(A,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),V_4)))
% ->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,multiply(c3,inverse(
% multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(
% multiply(
% inverse(c3),c3))))))))),V_4)))
% collapsed.
% Current number of equations to process: 4690
% Current number of ordered equations: 0
% Current number of rules: 687
% New rule produced :
% [993] multiply(A,multiply(B,multiply(c3,inverse(multiply(B,c3))))) -> A
% Rule
% [852]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),B))))))),
% multiply(A,multiply(inverse(A),multiply(c3,inverse(multiply(inverse(A),c3))))))
% -> D collapsed.
% Rule
% [992]
% multiply(A,multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(c3),c3)))))
% -> A collapsed.
% Current number of equations to process: 4690
% Current number of ordered equations: 0
% Current number of rules: 686
% Rule [979]
% multiply(multiply(inverse(A),B),multiply(C,inverse(multiply(multiply(
% multiply(B,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),C))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) is composed into
% [979]
% multiply(multiply(inverse(A),B),multiply(C,inverse(multiply(multiply(
% multiply(B,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4),C))))
% -> inverse(A)
% Rule [952]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(multiply(
% multiply(A,C),
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),V_4)))))
% <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),
% inverse(multiply(B,c3))))),
% multiply(multiply(B,C),inverse(D)))) is composed into
% [952]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(multiply(multiply(A,C),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6),V_4)))))
% <-> multiply(A,multiply(inverse(B),multiply(multiply(B,C),inverse(D))))
% Rule [949]
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(multiply(
% inverse(C),C)),
% multiply(D,multiply(inverse(A),
% multiply(V_4,inverse(
% multiply(
% inverse(B),V_4)))))))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(D,c3))))) is composed into
% [949]
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(multiply(inverse(C),C)),
% multiply(D,multiply(inverse(A),
% multiply(V_4,inverse(
% multiply(
% inverse(B),V_4)))))))))
% -> inverse(D)
% Rule [920]
% multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(
% multiply(
% inverse(A),V_4)),C)))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) is composed into
% [920]
% multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(V_4),D))),
% multiply(inverse(multiply(
% inverse(A),V_4)),C)))))
% -> inverse(A)
% Rule [868]
% inverse(multiply(inverse(B),multiply(B,multiply(C,multiply(inverse(
% multiply(
% inverse(D),D)),
% multiply(inverse(C),
% multiply(A,inverse(
% multiply(
% inverse(V_4),V_4)))))))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) is composed into
% [868]
% inverse(multiply(inverse(B),multiply(B,multiply(C,multiply(inverse(multiply(
% inverse(D),D)),
% multiply(inverse(C),
% multiply(A,inverse(
% multiply(
% inverse(V_4),V_4)))))))))
% -> inverse(A)
% Rule [867]
% inverse(multiply(inverse(B),multiply(B,multiply(C,multiply(inverse(
% multiply(
% inverse(D),D)),
% multiply(inverse(C),
% multiply(V_4,inverse(
% multiply(
% inverse(A),V_4)))))))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) is composed into
% [867]
% inverse(multiply(inverse(B),multiply(B,multiply(C,multiply(inverse(multiply(
% inverse(D),D)),
% multiply(inverse(C),
% multiply(V_4,inverse(
% multiply(
% inverse(A),V_4)))))))))
% -> inverse(A)
% Rule [844]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(
% inverse(D),
% multiply(C,
% inverse(V_5))),V_5))))
% <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(C,c3))))),B))))) is composed into
% [844]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(C),B)))))
% Rule [843]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(
% inverse(D),
% multiply(C,
% inverse(V_5))),V_5))))
% <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(C,c3))))),A))))) is composed into
% [843]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(inverse(C),A)))))
% Rule [839]
% inverse(multiply(multiply(A,inverse(multiply(multiply(B,inverse(
% multiply(
% inverse(C),B))),D))),
% multiply(multiply(inverse(V_4),V_4),multiply(C,D)))) ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) is composed into
% [839]
% inverse(multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(
% inverse(C),B))),D))),
% multiply(multiply(inverse(V_4),V_4),multiply(C,D)))) -> inverse(A)
% Rule [838]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))),V_4)))),
% multiply(C,V_4)))) ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3))))) is composed into
% [838]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))),V_4)))),
% multiply(C,V_4)))) -> inverse(B)
% Rule [835]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(
% multiply(c3,
% multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),C))))),C)))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3))))) is composed into
% [835]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(c3,
% multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),C))))),C)))
% -> inverse(B)
% Rule [834]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C)))))),D)))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3))))) is composed into
% [834]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,
% inverse(
% multiply(
% inverse(D),C)))))),D)))
% -> inverse(B)
% Rule [831]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(D),D)))))),C)))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3))))) is composed into
% [831]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,
% inverse(
% multiply(
% inverse(D),D)))))),C)))
% -> inverse(B)
% Rule [830]
% inverse(multiply(A,multiply(multiply(multiply(inverse(A),multiply(B,
% inverse(C))),C),
% multiply(inverse(D),D)))) ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3))))) is composed into
% [830]
% inverse(multiply(A,multiply(multiply(multiply(inverse(A),multiply(B,inverse(C))),C),
% multiply(inverse(D),D)))) -> inverse(B)
% Rule [829]
% inverse(multiply(multiply(A,inverse(B)),multiply(C,multiply(inverse(C),
% multiply(multiply(
% inverse(D),D),B)))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) is composed into
% [829]
% inverse(multiply(multiply(A,inverse(B)),multiply(C,multiply(inverse(C),
% multiply(multiply(
% inverse(D),D),B)))))
% -> inverse(A)
% Rule [823]
% inverse(multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(
% inverse(A),
% inverse(
% inverse(C))))))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) is composed into
% [823]
% inverse(multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(inverse(A),
% inverse(inverse(C))))))))
% -> inverse(A)
% Rule [703]
% multiply(multiply(inverse(A),B),multiply(C,inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(B),D))),C))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) is composed into
% [703]
% multiply(multiply(inverse(A),B),multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(B),D))),C))))
% -> inverse(A)
% Rule [689]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),
% inverse(multiply(A,c3))))),
% multiply(B,inverse(C)))) is composed into [689]
% inverse(multiply(C,
% multiply(D,
% inverse(
% multiply(
% multiply(
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% <->
% multiply(A,
% multiply(inverse(A),
% multiply(B,
% inverse(C))))
% Rule [687]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(B),V_4))),D)))))
% <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),
% inverse(multiply(A,c3))))),
% multiply(B,inverse(C)))) is composed into [687]
% inverse(multiply(C,
% multiply(D,
% inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))),D)))))
% <->
% multiply(A,
% multiply(inverse(A),
% multiply(B,
% inverse(C))))
% Rule [604]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) is composed into
% [604]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(V_4)))) -> inverse(V_4)
% Rule [566]
% multiply(multiply(A,inverse(multiply(B,A))),multiply(C,multiply(
% multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),D),B)),
% inverse(V_4))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) is composed into
% [566]
% multiply(multiply(A,inverse(multiply(B,A))),multiply(C,multiply(multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),D),B)),
% inverse(V_4)))) ->
% inverse(V_4)
% Rule [563]
% multiply(A,multiply(multiply(multiply(inverse(A),multiply(B,inverse(
% multiply(C,B)))),C),
% multiply(multiply(inverse(D),D),inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) is composed into
% [563]
% multiply(A,multiply(multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C),
% multiply(multiply(inverse(D),D),inverse(V_4)))) -> inverse(V_4)
% Rule [529]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(
% inverse(
% inverse(A)),c3)))),
% inverse(V_4)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) is composed into
% [529]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(
% inverse(
% inverse(A)),c3)))),
% inverse(V_4)))) -> inverse(V_4)
% Rule [436]
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),inverse(
% multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(C),B))),D)))))),C)
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(D,c3))))) is composed into
% [436]
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),inverse(multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(C),B))),D)))))),C)
% -> inverse(D)
% Rule [297]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) is composed into
% [297]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% -> inverse(V_4)
% Rule [217]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,
% multiply(V_4,
% multiply(A,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D)))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) is composed into
% [217]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,
% multiply(V_4,
% multiply(A,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D)))
% -> inverse(V_4)
% Rule [189]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4)))) ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(B,c3))))) is composed into
% [189]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4)))) -> inverse(B)
% Rule [187]
% inverse(multiply(A,multiply(B,multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(D))),D)))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(C,c3))))) is composed into
% [187]
% inverse(multiply(A,multiply(B,multiply(inverse(B),multiply(multiply(inverse(A),
% multiply(C,
% inverse(D))),D)))))
% -> inverse(C)
% Rule [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) is composed into
% [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% -> inverse(V_4)
% New rule produced :
% [994]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) ->
% inverse(A)
% Rule
% [128]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) <->
% multiply(inverse(c3),multiply(c3,multiply(V_4,inverse(multiply(A,V_4)))))
% collapsed.
% Rule
% [426]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(multiply(A,C),V_4)))))))
% collapsed.
% Rule
% [435]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(c3,multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(B,c3))))),
% multiply(B,inverse(multiply(C,
% inverse(D))))),C)))
% -> D collapsed.
% Rule
% [523]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),A),c3)))))
% <->
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(inverse(inverse(B))),c3))))
% collapsed.
% Rule
% [524]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(c3,inverse(multiply(inverse(B),c3))))) -> A collapsed.
% Rule
% [530]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(
% inverse(
% inverse(A)),c3)))),
% inverse(V_4)))) collapsed.
% Rule
% [543]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(multiply(inverse(D),D))))) ->
% multiply(A,C) collapsed.
% Rule
% [546]
% inverse(multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(c3,inverse(multiply(inverse(A),c3))))) <->
% multiply(inverse(D),D) collapsed.
% Rule
% [564]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C),
% multiply(multiply(inverse(D),D),inverse(V_4)))) collapsed.
% Rule
% [565]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(multiply(A,inverse(multiply(B,A))),multiply(C,multiply(multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),D),B)),
% inverse(V_4))))
% collapsed.
% Rule
% [575]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),D)))),
% inverse(C)))) -> A collapsed.
% Rule
% [605]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(V_4)))) collapsed.
% Rule
% [623]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(V_4,c3))))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,inverse(multiply(
% inverse(D),D))),
% inverse(multiply(c3,multiply(inverse(c3),
% inverse(multiply(
% inverse(C),
% inverse(V_4)))))))))
% collapsed.
% Rule
% [662]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,multiply(multiply(C,multiply(inverse(C),
% inverse(multiply(D,V_4)))),D)),V_4)))
% -> A collapsed.
% Rule
% [686]
% multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))),
% multiply(inverse(c3),c3)) <->
% multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C)))))
% collapsed.
% Rule
% [688]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(B),V_4))),D)))))
% collapsed.
% Rule
% [690]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% collapsed.
% Rule
% [692]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),D)))),
% inverse(C)))) -> B collapsed.
% Rule
% [824]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) <->
% inverse(multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(inverse(A),
% inverse(inverse(C))))))))
% collapsed.
% Rule
% [837]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(multiply(
% inverse(A),
% multiply(A,
% multiply(B,
% inverse(
% multiply(C,B))))),c3)))))
% <->
% inverse(multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,
% inverse(inverse(V_4))))))))
% collapsed.
% Rule
% [842]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(multiply(c3,
% multiply(c3,
% multiply(inverse(c3),
% inverse(multiply(C,c3))))),A)))))
% <->
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% collapsed.
% Rule
% [845]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(c3,
% multiply(c3,
% multiply(inverse(c3),
% inverse(multiply(C,c3))))),B)))))
% <->
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% collapsed.
% Rule
% [953]
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(B,c3))))),
% multiply(multiply(B,C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(multiply(multiply(A,C),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6),V_4)))))
% collapsed.
% Rule
% [957]
% multiply(D,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(D,c3))))),
% multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% multiply(A,c3))))),
% multiply(B,inverse(multiply(C,B))))) collapsed.
% Rule
% [966]
% multiply(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))),
% multiply(B,multiply(C,multiply(inverse(C),multiply(multiply(inverse(B),
% multiply(A,inverse(D))),D)))))
% <-> multiply(inverse(V_4),V_4) collapsed.
% Current number of equations to process: 4707
% Current number of ordered equations: 0
% Current number of rules: 662
% New rule produced :
% [995]
% inverse(multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(A),A)))))
% <-> multiply(inverse(V_4),V_4)
% Current number of equations to process: 4706
% Current number of ordered equations: 0
% Current number of rules: 663
% New rule produced :
% [996]
% inverse(multiply(inverse(A),multiply(c3,inverse(multiply(inverse(A),c3)))))
% <-> multiply(inverse(D),D)
% Current number of equations to process: 4705
% Current number of ordered equations: 1
% Current number of rules: 664
% New rule produced :
% [997]
% multiply(inverse(D),D) <->
% inverse(multiply(inverse(A),multiply(c3,inverse(multiply(inverse(A),c3)))))
% Current number of equations to process: 4705
% Current number of ordered equations: 0
% Current number of rules: 665
% New rule produced :
% [998]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(B),c3))))
% Current number of equations to process: 4704
% Current number of ordered equations: 1
% Current number of rules: 666
% Rule [997]
% multiply(inverse(D),D) <->
% inverse(multiply(inverse(A),multiply(c3,inverse(multiply(inverse(A),c3))))) is composed into
% [997] multiply(inverse(D),D) <-> inverse(inverse(multiply(inverse(A),A)))
% Rule [990]
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(A),A)))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(c3),c3)))) is composed into
% [990]
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(A),A)))) ->
% inverse(multiply(inverse(c3),c3))
% New rule produced :
% [999]
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(B),c3)))) <->
% inverse(multiply(inverse(A),A))
% Rule
% [996]
% inverse(multiply(inverse(A),multiply(c3,inverse(multiply(inverse(A),c3)))))
% <-> multiply(inverse(D),D) collapsed.
% Current number of equations to process: 4705
% Current number of ordered equations: 0
% Current number of rules: 666
% Rule [849]
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,D),inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(multiply(V_7,
% inverse(multiply(D,V_7))),V_5)))))) is composed into
% [849]
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,D),inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(V_7,
% inverse(
% multiply(D,V_7))),V_5))))))
% Rule [782]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,D))) <->
% multiply(B,multiply(V_4,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(inverse(multiply(
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6))),D)),V_4)))))) is composed into
% [782]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,D))) <->
% multiply(B,multiply(V_4,inverse(multiply(c3,multiply(inverse(c3),multiply(
% inverse(
% multiply(
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6))),D)),V_4))))))
% Rule [745]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(inverse(multiply(D,V_4)),V_5)))))) is composed into
% [745]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(inverse(c3),multiply(
% inverse(
% multiply(D,V_4)),V_5))))))
% Rule [741]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(inverse(multiply(D,V_4)),V_5)))))) is composed into
% [741]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(inverse(c3),multiply(
% inverse(
% multiply(D,V_4)),V_5))))))
% Rule [649]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(c3,multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),D)))))))) is composed into
% [649]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(c3,multiply(inverse(c3),
% multiply(multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),D))))))))
% Rule [503]
% multiply(inverse(A),multiply(A,B)) <->
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(c3,multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(
% inverse(
% multiply(
% inverse(V_4),V_4)),C)))))))) is composed into
% [503]
% multiply(inverse(A),multiply(A,B)) <->
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(c3,multiply(inverse(c3),
% multiply(inverse(
% multiply(
% inverse(V_4),V_4)),C))))))))
% Rule [433]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(multiply(A,V_4),V_6))))))) is composed into
% [433]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(c3,multiply(inverse(c3),
% multiply(multiply(A,V_4),V_6)))))))
% Rule [332]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,D)),
% inverse(V_4))),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(multiply(V_7,
% inverse(multiply(D,V_7))),V_5)))))) is composed into
% [332]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,D)),
% inverse(V_4))),V_4))) <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(V_7,
% inverse(
% multiply(D,V_7))),V_5))))))
% Rule [264]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(multiply(A,C),V_4))))))) is composed into
% [264]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(c3,multiply(inverse(c3),
% multiply(multiply(A,C),V_4)))))))
% New rule produced :
% [1000] multiply(inverse(A),multiply(inverse(c3),c3)) -> inverse(A)
% Rule
% [759]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(c3,multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),C))))),C))
% -> B collapsed.
% Rule
% [760]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(c3,multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(
% inverse(D),D)))))),
% multiply(inverse(V_4),V_4))) -> B collapsed.
% Rule
% [767]
% multiply(A,multiply(B,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(multiply(inverse(D),
% multiply(V_4,inverse(
% multiply(
% inverse(A),V_4)))),B))))))
% -> D collapsed.
% Rule
% [768]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(c3,multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(
% inverse(
% inverse(B)),C)))))),
% multiply(inverse(V_4),V_4))) -> A collapsed.
% Rule
% [783]
% multiply(B,multiply(V_4,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(inverse(multiply(
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6))),D)),V_4))))))
% <-> multiply(A,multiply(multiply(inverse(A),B),multiply(C,D))) collapsed.
% Rule
% [800]
% multiply(multiply(inverse(inverse(B)),inverse(multiply(multiply(multiply(C,
% multiply(
% inverse(C),
% inverse(
% multiply(D,
% inverse(V_4))))),D),V_5))),
% multiply(c3,inverse(multiply(c3,multiply(multiply(inverse(c3),multiply(
% inverse(c3),c3)),
% multiply(inverse(multiply(multiply(c3,
% inverse(multiply(
% inverse(V_4),c3))),V_5)),c3))))))
% -> B collapsed.
% Rule
% [801]
% multiply(multiply(inverse(inverse(B)),inverse(multiply(multiply(multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% inverse(D)),V_5))),
% multiply(c3,inverse(multiply(c3,multiply(multiply(inverse(c3),multiply(
% inverse(c3),c3)),
% multiply(inverse(multiply(multiply(c3,
% inverse(multiply(
% inverse(C),c3))),V_5)),c3))))))
% -> B collapsed.
% Rule
% [817]
% inverse(inverse(multiply(A,multiply(D,inverse(multiply(c3,multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(multiply(V_5,
% inverse(
% multiply(C,V_5))),D))))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),C))) collapsed.
% Rule
% [835]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(c3,
% multiply(
% multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),C))))),C)))
% -> inverse(B) collapsed.
% Rule
% [848]
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(multiply(V_7,inverse(
% multiply(D,V_7))),V_5))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,D),inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% collapsed.
% Rule
% [864]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(c3,
% multiply(multiply(
% inverse(c3),
% multiply(
% inverse(c3),c3)),
% multiply(inverse(
% inverse(
% inverse(C))),B)))))),
% multiply(inverse(D),D))) -> C collapsed.
% Rule
% [940]
% multiply(inverse(inverse(A)),multiply(c3,inverse(multiply(multiply(c3,
% inverse(multiply(
% inverse(c3),c3))),
% multiply(multiply(inverse(c3),
% multiply(inverse(c3),c3)),
% multiply(multiply(inverse(B),B),c3))))))
% -> A collapsed.
% Current number of equations to process: 4715
% Current number of ordered equations: 0
% Current number of rules: 655
% New rule produced :
% [1001]
% inverse(multiply(inverse(c3),c3)) <->
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A)))))
% Current number of equations to process: 4714
% Current number of ordered equations: 1
% Current number of rules: 656
% Rule [841]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(
% multiply(
% inverse(C),C)),
% inverse(B)))))) ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(c3))))) is composed into
% [841]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),
% inverse(B)))))) ->
% inverse(multiply(inverse(c3),c3))
% Rule [832]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) <->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(c3))))) is composed into
% [832]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) <->
% inverse(multiply(inverse(c3),c3))
% New rule produced :
% [1002]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) <->
% inverse(multiply(inverse(c3),c3))
% Current number of equations to process: 4714
% Current number of ordered equations: 0
% Current number of rules: 657
% New rule produced :
% [1003]
% multiply(A,multiply(inverse(B),multiply(multiply(B,C),inverse(multiply(
% inverse(D),D)))))
% -> multiply(A,C)
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 658
% New rule produced :
% [1004]
% multiply(A,multiply(inverse(A),multiply(B,inverse(multiply(C,B))))) <->
% multiply(D,multiply(inverse(D),multiply(V_4,inverse(multiply(C,V_4)))))
% Current number of equations to process: 4712
% Current number of ordered equations: 0
% Current number of rules: 659
% New rule produced :
% [1005]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% inverse(multiply(C,
% inverse(D))))),C)))
% -> D
% Current number of equations to process: 4711
% Current number of ordered equations: 0
% Current number of rules: 660
% New rule produced :
% [1006]
% multiply(A,multiply(inverse(B),multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),D)))),
% inverse(C)))) -> A
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 661
% New rule produced :
% [1007]
% multiply(A,multiply(inverse(A),multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),D)))),
% inverse(C)))) -> B
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 662
% New rule produced :
% [1008]
% multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(c3,inverse(
% multiply(C,c3)))),
% inverse(inverse(A))))) -> A
% Current number of equations to process: 4708
% Current number of ordered equations: 0
% Current number of rules: 663
% New rule produced :
% [1009]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,
% inverse(multiply(B,c3)))),
% inverse(C))))) -> C
% Current number of equations to process: 4707
% Current number of ordered equations: 0
% Current number of rules: 664
% New rule produced :
% [1010]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(c3,
% multiply(
% inverse(c3),C))))),C)))
% -> inverse(B)
% Current number of equations to process: 4706
% Current number of ordered equations: 0
% Current number of rules: 665
% New rule produced :
% [1011]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(c3,multiply(
% inverse(c3),C))))),C))
% -> B
% Current number of equations to process: 4705
% Current number of ordered equations: 0
% Current number of rules: 666
% New rule produced :
% [1012]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(A,c3)))),
% inverse(V_4)))) -> inverse(V_4)
% Current number of equations to process: 4704
% Current number of ordered equations: 0
% Current number of rules: 667
% Rule [997]
% multiply(inverse(D),D) <-> inverse(inverse(multiply(inverse(A),A))) is composed into
% [997] multiply(inverse(D),D) <-> multiply(inverse(A),A)
% Rule [964]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(D))),V_4))))
% <->
% multiply(inverse(V_4),multiply(inverse(inverse(D)),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6))))))) is composed into
% [964]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(D))),V_4))))
% <->
% multiply(inverse(V_4),multiply(D,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(B),V_5))),
% multiply(V_6,inverse(multiply(
% inverse(C),V_6)))))))
% Rule [938]
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),
% multiply(inverse(inverse(C)),D))))) is composed into
% [938]
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),
% multiply(C,D)))))
% Rule [936]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(
% multiply(
% inverse(C),C)),D)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),
% inverse(multiply(inverse(inverse(B)),D))))) is composed into
% [936]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),D)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),inverse(
% multiply(B,D)))))
% Rule [863]
% multiply(multiply(A,multiply(B,inverse(multiply(C,D)))),multiply(V_4,
% multiply(
% inverse(V_4),C)))
% <->
% multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),
% inverse(
% multiply(
% inverse(D),V_6)))))) is composed into
% [863]
% multiply(multiply(A,multiply(B,inverse(multiply(C,D)))),multiply(V_4,
% multiply(inverse(V_4),C)))
% <->
% multiply(A,multiply(B,inverse(multiply(multiply(V_5,inverse(multiply(
% inverse(V_6),V_5))),
% inverse(multiply(inverse(D),V_6))))))
% Rule [649]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(inverse(multiply(B,multiply(D,inverse(multiply(c3,multiply(
% inverse(c3),
% multiply(
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),D)))))))) is composed into
% [649]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% multiply(B,multiply(D,inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),D))))))
% Rule [647]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(V_4,
% multiply(c3,
% inverse(
% multiply(
% inverse(
% inverse(V_4)),c3)))),
% inverse(inverse(B))),D))))) is composed into
% [647]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(V_4,
% multiply(c3,inverse(
% multiply(V_4,c3)))),B),D)))))
% Rule [557]
% multiply(inverse(A),multiply(A,B)) <->
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(multiply(
% multiply(
% inverse(multiply(
% inverse(D),D)),
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5),C)))))) is composed into
% [557]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(multiply(multiply(inverse(multiply(
% inverse(D),D)),
% multiply(V_4,inverse(
% multiply(V_5,V_4)))),V_5),C))))
% Rule [503]
% multiply(inverse(A),multiply(A,B)) <->
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(c3,multiply(
% inverse(c3),
% multiply(
% inverse(
% multiply(
% inverse(V_4),V_4)),C)))))))) is composed into
% [503]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(c3,multiply(inverse(c3),multiply(
% inverse(
% multiply(
% inverse(V_4),V_4)),C))))))
% Rule [472]
% multiply(inverse(A),multiply(A,multiply(inverse(B),B))) <->
% inverse(inverse(multiply(inverse(C),C))) is composed into [472]
% multiply(
% inverse(A),
% multiply(A,
% multiply(
% inverse(B),B)))
% <->
% multiply(
% inverse(C),C)
% Rule [452]
% inverse(multiply(C,inverse(multiply(multiply(D,inverse(multiply(
% inverse(B),D))),C))))
% <-> multiply(inverse(inverse(multiply(inverse(A),A))),B) is composed into
% [452]
% inverse(multiply(C,inverse(multiply(multiply(D,inverse(multiply(inverse(B),D))),C))))
% <-> multiply(multiply(inverse(A),A),B)
% Rule [392]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(
% inverse(B)),c3)))),
% inverse(V_4)))) is composed into
% [392]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(B,c3)))),
% inverse(V_4))))
% Rule [175]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(
% inverse(B)),c3)))),
% inverse(V_4)))) is composed into
% [175]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(B,c3)))),
% inverse(V_4))))
% Rule [173]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(
% inverse(
% inverse(A)),c3)))),
% inverse(V_4)))) is composed into [173]
% multiply(
% inverse(V_5),
% multiply(V_5,
% multiply(V_6,
% inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,
% multiply(B,
% multiply(
% multiply(
% inverse(B),
% multiply(c3,
% inverse(multiply(A,c3)))),
% inverse(V_4))))
% New rule produced : [1013] inverse(inverse(V_5)) -> V_5
% Rule
% [88]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))))),D)
% -> A collapsed.
% Rule
% [91]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),B)))))),C)
% -> A collapsed.
% Rule
% [113]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(
% multiply(
% inverse(
% inverse(B)),C),
% inverse(
% multiply(D,
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),C))))),D)))),V_5)
% -> B collapsed.
% Rule
% [115]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(V_4),
% multiply(A,multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))))))))))),D)
% -> V_4 collapsed.
% Rule
% [117]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))))),
% inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_4))),D)))))),V_5)
% -> B collapsed.
% Rule
% [165]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(inverse(V_4))))) -> V_4 collapsed.
% Rule
% [180]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(inverse(B)),
% multiply(C,inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(V_5))),V_5))) ->
% B collapsed.
% Rule
% [212]
% inverse(multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))))),
% multiply(V_4,multiply(multiply(inverse(V_4),D),inverse(multiply(V_5,A))))))
% -> V_5 collapsed.
% Rule
% [244]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(multiply(
% inverse(
% inverse(
% multiply(B,C))),D),
% inverse(multiply(V_4,
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),D))))),V_4)))
% -> A collapsed.
% Rule
% [307]
% multiply(inverse(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,
% inverse(
% multiply(C,B))),
% inverse(D)))))),D)
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% collapsed.
% Rule
% [318]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(D,C))),B)))))),
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5))))))
% -> A collapsed.
% Rule
% [319]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_5),D))))),V_4),B)))))),V_5)
% -> A collapsed.
% Rule
% [320]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),C))))),D)))),V_5)
% -> A collapsed.
% Rule
% [365]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% inverse(C),
% inverse(
% multiply(D,
% inverse(V_4))))),D),B)))))),V_4)
% -> A collapsed.
% Rule
% [366]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))))))),C)))),V_4)
% -> A collapsed.
% Rule
% [372]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(inverse(
% inverse(
% multiply(B,C))),
% inverse(multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))),D)))
% -> A collapsed.
% Rule
% [390]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,V_5)))),V_4)),V_5),B)))))),C)
% -> A collapsed.
% Rule
% [395]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(D,V_4)))),D)),V_4)),
% inverse(inverse(V_5))))) -> V_5 collapsed.
% Rule
% [399]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(D))),
% inverse(inverse(multiply(D,multiply(V_4,
% inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),V_4)))))))))
% -> B collapsed.
% Rule
% [402]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(D))),
% inverse(inverse(multiply(D,multiply(V_4,inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),V_4)))))))))
% -> A collapsed.
% Rule
% [406]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(inverse(C),
% multiply(D,inverse(
% multiply(
% inverse(V_4),D))))))),
% inverse(C)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_4,inverse(B)))) collapsed.
% Rule
% [416]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(
% inverse(D),C))),B)))),
% multiply(V_4,multiply(multiply(inverse(V_4),multiply(D,inverse(A))),inverse(
% inverse(V_5)))))
% -> V_5 collapsed.
% Rule
% [417]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),
% multiply(
% inverse(
% inverse(B)),
% inverse(
% multiply(V_5,
% inverse(C))))),V_5))))))))
% -> D collapsed.
% Rule
% [419]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),
% multiply(inverse(C),
% inverse(multiply(D,multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))))))),D)),
% multiply(V_5,C))) -> B collapsed.
% Rule
% [431]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(
% inverse(
% inverse(B)),
% inverse(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))))))),C)))),V_4)
% -> B collapsed.
% Rule
% [436]
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),inverse(multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(C),B))),D)))))),C)
% -> inverse(D) collapsed.
% Rule
% [453]
% multiply(inverse(inverse(multiply(inverse(A),A))),B) <->
% inverse(multiply(C,inverse(multiply(multiply(D,inverse(multiply(inverse(B),D))),C))))
% collapsed.
% Rule
% [455]
% multiply(inverse(inverse(multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),C))),
% multiply(inverse(D),D)) -> A collapsed.
% Rule
% [460]
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% multiply(
% inverse(D),D),C))),B))))))
% -> A collapsed.
% Rule
% [462]
% multiply(inverse(inverse(multiply(A,inverse(multiply(B,A))))),multiply(
% inverse(C),C))
% <-> multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(B,V_4)))))
% collapsed.
% Rule
% [463]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))))),C)
% -> A collapsed.
% Rule
% [471]
% inverse(inverse(multiply(inverse(C),C))) <->
% multiply(inverse(A),multiply(A,multiply(inverse(B),B))) collapsed.
% Rule
% [473]
% multiply(inverse(inverse(multiply(A,inverse(multiply(inverse(B),B))))),
% multiply(inverse(C),C)) -> A collapsed.
% Rule
% [492]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(B,inverse(multiply(C,B))),
% multiply(multiply(inverse(D),D),C)),
% inverse(inverse(V_4))))) -> V_4 collapsed.
% Rule
% [499]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(C),C),D)),
% inverse(inverse(multiply(V_4,inverse(multiply(D,V_4))))))))
% -> A collapsed.
% Rule
% [501]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(C),C),D)),
% inverse(inverse(multiply(V_4,inverse(multiply(D,V_4))))))))
% -> B collapsed.
% Rule
% [506]
% multiply(A,multiply(multiply(inverse(B),B),multiply(C,inverse(inverse(
% multiply(D,
% inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))),D))))))))
% -> A collapsed.
% Rule
% [508]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% inverse(D)),B)))))),C)
% -> A collapsed.
% Rule
% [509]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(
% inverse(C),C),D),B)))))),
% inverse(multiply(V_4,inverse(multiply(D,V_4))))) -> A collapsed.
% Rule
% [519]
% inverse(multiply(A,multiply(c3,inverse(multiply(inverse(inverse(A)),c3)))))
% <-> multiply(inverse(D),D) collapsed.
% Rule
% [520]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(
% inverse(B)),c3)))),
% inverse(inverse(V_4))))) -> V_4 collapsed.
% Rule
% [521]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(c3,inverse(
% multiply(
% inverse(
% inverse(B)),c3)))),
% inverse(inverse(A))))) -> A collapsed.
% Rule
% [522]
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(inverse(inverse(B))),c3))))
% <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),c3))))
% collapsed.
% Rule
% [525]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(
% multiply(D,
% multiply(c3,
% inverse(
% multiply(
% inverse(
% inverse(D)),c3)))),C))))))
% -> B collapsed.
% Rule
% [526]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(c3,
% inverse(multiply(
% inverse(
% inverse(C)),c3)))),
% inverse(V_5))),V_5))) -> B
% collapsed.
% Rule
% [527]
% multiply(A,multiply(B,multiply(inverse(B),multiply(C,inverse(multiply(
% multiply(D,
% multiply(c3,
% inverse(
% multiply(
% inverse(
% inverse(D)),c3)))),C))))))
% -> A collapsed.
% Rule
% [528]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(c3,
% inverse(multiply(
% inverse(
% inverse(C)),c3)))),
% inverse(V_5))),V_5))) -> A
% collapsed.
% Rule
% [529]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(
% inverse(
% inverse(A)),c3)))),
% inverse(V_4)))) -> inverse(V_4) collapsed.
% Rule
% [532]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(c3,inverse(
% multiply(
% inverse(
% inverse(
% inverse(B))),c3)))),
% inverse(V_4))),multiply(V_5,multiply(inverse(V_5),V_4)))
% -> B collapsed.
% Rule
% [535]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(
% inverse(D),D)))),
% inverse(C))),inverse(
% inverse(V_4)))))
% -> V_4 collapsed.
% Rule
% [536]
% multiply(inverse(inverse(multiply(multiply(A,multiply(c3,inverse(multiply(
% inverse(
% inverse(A)),c3)))),
% inverse(inverse(D))))),multiply(inverse(V_4),V_4))
% -> D collapsed.
% Rule
% [548]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(c3,
% inverse(
% multiply(
% inverse(
% inverse(C)),c3)))),
% inverse(
% inverse(V_5))),B)))))),V_5)
% -> A collapsed.
% Rule
% [549]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(
% inverse(
% inverse(B)),c3)))),
% inverse(multiply(V_4,inverse(multiply(
% inverse(V_5),V_4)))))))),V_5)
% -> A collapsed.
% Rule
% [553]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(V_4),V_4))))))),D)
% <-> multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) collapsed.
% Rule
% [556]
% inverse(inverse(multiply(B,multiply(C,inverse(multiply(multiply(multiply(
% inverse(
% multiply(
% inverse(D),D)),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C))))))
% <-> multiply(inverse(A),multiply(A,B)) collapsed.
% Rule
% [569]
% inverse(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(multiply(
% inverse(B),D))),
% multiply(inverse(multiply(inverse(V_4),V_4)),C))))))
% -> A collapsed.
% Rule
% [573]
% multiply(inverse(inverse(multiply(multiply(A,multiply(multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D)),V_4))),
% multiply(inverse(V_5),V_5)) -> A collapsed.
% Rule
% [584]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),multiply(
% multiply(
% inverse(inverse(
% multiply(
% inverse(C),C))),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))
% -> A collapsed.
% Rule
% [596]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),V_4))),
% multiply(V_5,C))))),multiply(D,V_5)))
% -> B collapsed.
% Rule
% [597]
% multiply(multiply(multiply(inverse(inverse(A)),B),inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B)))),
% multiply(multiply(inverse(V_5),V_5),multiply(D,V_4))) -> A collapsed.
% Rule
% [602]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(D),D),V_4)),
% inverse(inverse(multiply(V_5,
% inverse(
% multiply(V_4,V_5))))))),
% inverse(C)))) -> B collapsed.
% Rule
% [603]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(C),C),
% inverse(D))),inverse(
% inverse(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))))
% -> B collapsed.
% Rule
% [608]
% multiply(inverse(inverse(multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5))),C))))),D)))),V_4)
% -> A collapsed.
% Rule
% [610]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(
% inverse(B),B)),
% inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),V_4)))))),D)
% <-> inverse(multiply(V_5,inverse(multiply(inverse(V_4),V_5)))) collapsed.
% Rule
% [626]
% multiply(inverse(inverse(multiply(multiply(A,multiply(B,inverse(multiply(C,
% multiply(
% inverse(D),
% multiply(A,
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))))))))),C))),
% multiply(inverse(V_5),V_5)) -> D collapsed.
% Rule
% [629]
% inverse(multiply(inverse(inverse(multiply(multiply(A,multiply(B,inverse(
% multiply(C,
% multiply(D,
% multiply(A,
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))))))))),C))),
% multiply(inverse(V_5),V_5))) -> D collapsed.
% Rule
% [630]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(B,multiply(C,
% inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),C)))),
% multiply(D,inverse(B))),inverse(
% inverse(V_5)))))
% -> V_5 collapsed.
% Rule
% [631]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),B))))))),A)
% -> C collapsed.
% Rule
% [632]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))),
% inverse(V_4))),
% inverse(D)),B)))))),C)
% -> A collapsed.
% Rule
% [633]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(D))),
% inverse(inverse(multiply(D,multiply(V_4,
% inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(V_5),V_5))),V_4)))))))))
% -> B collapsed.
% Rule
% [642]
% multiply(inverse(inverse(A)),B) <->
% multiply(A,multiply(B,multiply(inverse(B),multiply(V_5,inverse(multiply(
% inverse(B),V_5))))))
% collapsed.
% Rule
% [643]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(D)),B)))))),
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(C),V_5))),V_4))))))
% -> A collapsed.
% Rule
% [646]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(V_4,
% multiply(c3,inverse(
% multiply(
% inverse(
% inverse(V_4)),c3)))),
% inverse(inverse(B))),D)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) collapsed.
% Rule
% [666]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(V_5),V_5))))),
% multiply(V_4,inverse(C)))) -> B collapsed.
% Rule
% [670]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(
% multiply(
% inverse(B),B),
% inverse(
% multiply(C,
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% inverse(V_5)))))),C)))),V_4)
% -> V_5 collapsed.
% Rule
% [671]
% multiply(inverse(inverse(multiply(multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(C,multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),B)))),
% multiply(multiply(inverse(V_5),V_5),C)))),V_4) -> A
% collapsed.
% Rule
% [672]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(V_4),
% multiply(A,multiply(B,
% inverse(
% multiply(
% inverse(V_5),V_5))))))))))),D)
% -> V_4 collapsed.
% Rule
% [673]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))))),
% inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_4))),C)))))),V_5)
% -> B collapsed.
% Rule
% [674]
% multiply(inverse(inverse(multiply(multiply(A,multiply(B,inverse(multiply(
% inverse(C),B)))),
% multiply(multiply(inverse(D),D),inverse(multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),C)))))),V_5)
% -> A collapsed.
% Rule
% [675]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))))),
% inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_5))),D)))))),V_4)
% -> B collapsed.
% Rule
% [679]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(D))),
% inverse(C))),inverse(
% inverse(V_5)))))
% -> V_5 collapsed.
% Rule
% [710]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(inverse(inverse(C)),
% inverse(multiply(inverse(D),C))),B)))),D)
% -> A collapsed.
% Rule
% [718]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(inverse(inverse(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))))),V_4),B)))),C)
% -> A collapsed.
% Rule
% [737]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(B,multiply(inverse(B),B))))))
% -> A collapsed.
% Rule
% [738]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(c3,multiply(inverse(c3),B))))))
% -> A collapsed.
% Rule
% [739]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(inverse(A)),
% inverse(B)),inverse(multiply(C,
% multiply(
% inverse(C),
% inverse(B)))))))
% -> A collapsed.
% Rule
% [743]
% multiply(inverse(A),multiply(A,multiply(B,multiply(multiply(inverse(B),
% multiply(inverse(inverse(C)),
% inverse(D))),D)))) -> C
% collapsed.
% Rule
% [754]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(C,inverse(multiply(
% inverse(D),C)))))),D))
% -> B collapsed.
% Rule
% [757]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),D))),V_4)))),
% multiply(C,V_4))) -> B collapsed.
% Rule
% [758]
% multiply(multiply(inverse(inverse(A)),inverse(multiply(multiply(B,inverse(
% multiply(
% inverse(C),B))),D))),
% multiply(multiply(inverse(V_4),V_4),multiply(C,D))) -> A collapsed.
% Rule
% [762]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(inverse(V_4))))) -> V_4 collapsed.
% Rule
% [763]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),B))),A))),
% multiply(multiply(inverse(D),D),multiply(C,inverse(inverse(V_4))))) -> V_4
% collapsed.
% Rule
% [764]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),B)))),
% multiply(C,inverse(inverse(V_5))))) -> V_5 collapsed.
% Rule
% [772]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(inverse(inverse(C)),
% inverse(multiply(D,C))),B)))),
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5))))))
% -> A collapsed.
% Rule
% [777]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% inverse(inverse(C)),D)),
% inverse(V_4))),multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(D,V_5)))))))
% -> C collapsed.
% Rule
% [781]
% inverse(inverse(multiply(A,multiply(D,inverse(multiply(multiply(multiply(
% multiply(V_4,
% inverse(
% multiply(C,V_4))),
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),D))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),C))) collapsed.
% Rule
% [784]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(multiply(
% multiply(
% inverse(D),D),C))))),
% inverse(inverse(V_4))))) -> V_4 collapsed.
% Rule
% [785]
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(
% multiply(
% multiply(
% inverse(V_4),V_4),D))))),
% inverse(inverse(inverse(B)))))) -> A collapsed.
% Rule
% [793]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(inverse(B)),
% multiply(C,inverse(D))),multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),V_4)))))))
% -> B collapsed.
% Rule
% [795]
% multiply(multiply(inverse(inverse(A)),multiply(B,inverse(C))),multiply(D,
% multiply(
% inverse(D),
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),V_4)))))))
% -> A collapsed.
% Rule
% [799]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),C)),
% multiply(D,multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,
% multiply(V_5,
% inverse(
% multiply(
% inverse(D),V_5))))))))))
% -> B collapsed.
% Rule
% [802]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(
% inverse(C),
% inverse(
% multiply(D,
% inverse(V_4))))),D),B)))),
% multiply(V_4,inverse(inverse(V_5))))) -> V_5 collapsed.
% Rule
% [803]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,multiply(
% inverse(B),
% inverse(multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))))))),C)),
% multiply(V_4,inverse(inverse(V_5))))) -> V_5 collapsed.
% Rule
% [804]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% inverse(D)),B)))),
% multiply(C,inverse(inverse(V_5))))) -> V_5 collapsed.
% Rule
% [807]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(c3,inverse(
% multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(B,
% inverse(
% multiply(
% inverse(c3),B))))))))),
% inverse(inverse(A))))) -> A collapsed.
% Rule
% [810]
% multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(c3,inverse(
% multiply(C,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(C,
% inverse(
% multiply(
% inverse(c3),C))))))))),
% inverse(inverse(A))))) -> A collapsed.
% Rule
% [811]
% multiply(multiply(multiply(inverse(inverse(A)),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4))),multiply(V_5,multiply(inverse(V_5),V_4)))
% -> A collapsed.
% Rule
% [815]
% multiply(multiply(inverse(inverse(A)),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(inverse(multiply(inverse(V_4),V_4))))) -> A collapsed.
% Rule
% [816]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(inverse(B)),
% multiply(C,inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),C)))),
% multiply(D,inverse(V_5))),V_5))) -> B
% collapsed.
% Rule
% [823]
% inverse(multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(inverse(A),
% inverse(inverse(C))))))))
% -> inverse(A) collapsed.
% Rule
% [836]
% inverse(multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,
% inverse(inverse(V_4))))))))
% <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,
% inverse(
% inverse(c3))))))))
% collapsed.
% Rule
% [850]
% multiply(multiply(multiply(inverse(inverse(C)),multiply(inverse(D),inverse(
% multiply(V_4,V_5)))),V_4),
% multiply(c3,inverse(multiply(multiply(c3,inverse(multiply(multiply(V_5,D),
% multiply(c3,multiply(
% inverse(c3),
% multiply(V_5,
% inverse(
% multiply(
% inverse(c3),V_5)))))))),c3))))
% -> C collapsed.
% Rule
% [853]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(inverse(inverse(C)),
% inverse(multiply(inverse(D),C))),
% multiply(inverse(V_4),multiply(A,
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))))))))),D)
% -> V_4 collapsed.
% Rule
% [854]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(multiply(multiply(inverse(inverse(V_4)),inverse(
% multiply(
% inverse(V_5),V_4))),D)))),V_5)
% -> B collapsed.
% Rule
% [860]
% multiply(A,multiply(B,multiply(inverse(C),multiply(C,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(A),
% multiply(
% inverse(
% inverse(D)),
% inverse(C))),V_4)),
% inverse(multiply(
% inverse(C),V_4)))))))
% -> D collapsed.
% Rule
% [861]
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(B,multiply(
% multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(
% inverse(D)),
% inverse(B))),V_4)),
% inverse(
% multiply(
% inverse(B),V_4)))))))
% -> D collapsed.
% Rule
% [862]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(
% inverse(D),
% multiply(V_4,
% multiply(V_5,
% multiply(
% inverse(V_5),
% inverse(
% multiply(
% inverse(C),
% inverse(
% inverse(V_4)))))))))),B)))),D)
% -> A collapsed.
% Rule
% [866]
% inverse(multiply(inverse(c3),multiply(c3,multiply(C,multiply(inverse(
% multiply(
% inverse(c3),c3)),
% multiply(inverse(
% inverse(
% multiply(
% inverse(D),D))),
% inverse(multiply(
% inverse(B),C))))))))
% <-> inverse(multiply(inverse(A),multiply(A,B))) collapsed.
% Rule
% [876]
% inverse(multiply(inverse(A),multiply(inverse(inverse(A)),inverse(multiply(
% inverse(B),B)))))
% <-> multiply(inverse(C),C) collapsed.
% Rule
% [885]
% inverse(inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C)))),D)))))
% -> D collapsed.
% Rule
% [886]
% multiply(inverse(A),multiply(inverse(inverse(A)),inverse(multiply(multiply(B,
% inverse(
% multiply(
% inverse(C),B))),
% inverse(multiply(
% inverse(
% inverse(D)),C))))))
% -> D collapsed.
% Rule
% [908]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(D,C))),B)))))),
% multiply(V_4,multiply(V_5,multiply(inverse(V_5),inverse(multiply(D,V_4))))))
% -> A collapsed.
% Rule
% [910]
% inverse(multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(C,
% multiply(A,B)))))))),
% multiply(inverse(D),D)))) -> C collapsed.
% Rule
% [921]
% inverse(multiply(inverse(inverse(A)),multiply(inverse(inverse(multiply(
% inverse(A),B))),
% inverse(multiply(multiply(c3,inverse(
% multiply(
% inverse(c3),c3))),
% inverse(multiply(inverse(
% multiply(C,B)),c3)))))))
% -> C collapsed.
% Rule
% [924]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(
% multiply(
% inverse(
% inverse(C)),
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),B)))),
% multiply(inverse(V_5),V_5)))) -> C collapsed.
% Rule
% [937]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),inverse(
% multiply(
% inverse(
% inverse(B)),D)))))
% <->
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),D)))))
% collapsed.
% Rule
% [939]
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),
% multiply(inverse(inverse(C)),D)))))
% <->
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% collapsed.
% Rule
% [943]
% inverse(multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))))),
% multiply(V_4,multiply(multiply(inverse(V_4),C),inverse(multiply(V_5,A))))))
% -> V_5 collapsed.
% Rule
% [944]
% inverse(multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))))),
% multiply(D,multiply(multiply(inverse(V_4),V_4),inverse(multiply(V_5,A))))))
% -> V_5 collapsed.
% Rule
% [965]
% multiply(inverse(V_4),multiply(inverse(inverse(D)),inverse(multiply(multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),
% multiply(V_6,
% inverse(multiply(
% inverse(C),V_6)))))))
% <->
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(D))),V_4))))
% collapsed.
% Rule
% [974]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(inverse(C),
% inverse(inverse(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))),D))))))))))))
% -> inverse(multiply(A,B)) collapsed.
% Rule
% [983]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(
% inverse(
% inverse(B)),
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),C)))),
% multiply(inverse(V_5),V_5))) -> A collapsed.
% Rule
% [1008]
% multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(c3,inverse(
% multiply(C,c3)))),
% inverse(inverse(A))))) -> A collapsed.
% Rule
% [1011]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(inverse(B)),
% inverse(multiply(c3,multiply(
% inverse(c3),C))))),C))
% -> B collapsed.
% Current number of equations to process: 4831
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [1014]
% inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))) <->
% multiply(inverse(D),D)
% Current number of equations to process: 4830
% Current number of ordered equations: 1
% Current number of rules: 535
% Rule [1014]
% inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))) <->
% multiply(inverse(D),D) is composed into [1014]
% inverse(multiply(A,multiply(c3,
% inverse(
% multiply(A,c3)))))
% <->
% inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))))
% Rule [1002]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) <->
% inverse(multiply(inverse(c3),c3)) is composed into [1002]
% inverse(multiply(A,
% multiply(B,
% multiply(
% inverse(B),
% inverse(A)))))
% ->
% inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))
% Rule [999]
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(B),c3)))) <->
% inverse(multiply(inverse(A),A)) is composed into [999]
% multiply(inverse(B),
% multiply(c3,inverse(
% multiply(
% inverse(B),c3))))
% <->
% inverse(inverse(
% multiply(A,
% multiply(c3,
% inverse(
% multiply(A,c3))))))
% Rule [991]
% multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(A),A)))) is composed into
% [991]
% multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,inverse(multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))) <->
% multiply(inverse(c3),multiply(c3,inverse(inverse(multiply(A,multiply(c3,
% inverse(multiply(A,c3))))))))
% Rule [986]
% multiply(multiply(inverse(B),C),inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),
% multiply(inverse(multiply(B,D)),C))))
% <-> inverse(multiply(inverse(A),A)) is composed into [986]
% multiply(multiply(
% inverse(B),C),
% inverse(multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),
% multiply(
% inverse(
% multiply(B,D)),C))))
% <->
% inverse(inverse(
% multiply(A,
% multiply(c3,
% inverse(
% multiply(A,c3))))))
% Rule [981]
% inverse(multiply(multiply(B,multiply(C,inverse(multiply(multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(B)))) <-> multiply(inverse(A),A) is composed into
% [981]
% inverse(multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(B)))) <->
% inverse(multiply(A,multiply(c3,inverse(multiply(A,c3)))))
% Rule [977]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(D,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(
% multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4)))))))))) is composed into
% [977]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(D,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))))
% Rule [975]
% multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),D))))),
% multiply(C,inverse(multiply(A,multiply(B,V_5)))))))
% <-> multiply(inverse(V_6),V_6) is composed into [975]
% multiply(A,multiply(B,
% multiply(
% inverse(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),D))))),
% multiply(C,
% inverse(
% multiply(A,
% multiply(B,V_5)))))))
% ->
% inverse(multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))
% Rule [967]
% inverse(multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(V_6,
% inverse(
% multiply(
% inverse(D),V_6))))))))),V_4)),V_5)))
% <-> multiply(inverse(A),A) is composed into [967]
% inverse(multiply(B,multiply(
% multiply(
% inverse(B),
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(V_6,
% inverse(
% multiply(
% inverse(D),V_6))))))))),V_4)),V_5)))
% <->
% inverse(multiply(A,multiply(c3,
% inverse(
% multiply(A,c3)))))
% Rule [959]
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(
% multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(D,V_8))))) <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4)))))))))) is composed into
% [959]
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(D,V_8))))) <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))))
% Rule [946]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),
% multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))),D)))))))) is composed into
% [946]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3))))),
% multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))),D))))))))
% Rule [935]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(A))))) <->
% multiply(inverse(V_6),V_6) is composed into [935]
% multiply(A,multiply(B,
% multiply(
% multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,
% inverse(A))))) ->
% inverse(multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))
% Rule [933]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(
% inverse(V_5),
% inverse(
% multiply(
% inverse(V_7),V_7)))),
% inverse(V_4)))) is composed into [933]
% multiply(A,
% multiply(
% multiply(
% inverse(B),
% multiply(B,
% multiply(C,
% inverse(
% multiply(D,C))))),
% multiply(D,
% inverse(
% multiply(V_4,A)))))
% <->
% multiply(V_5,
% multiply(V_6,
% multiply(
% multiply(
% inverse(V_6),
% multiply(
% inverse(V_5),
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),
% inverse(V_4))))
% Rule [932]
% multiply(V_4,multiply(multiply(inverse(V_5),multiply(V_5,multiply(V_6,
% inverse(
% multiply(V_4,V_6))))),
% multiply(V_7,inverse(multiply(D,V_7))))) <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C)))),D)))) is composed into
% [932]
% multiply(V_4,multiply(multiply(inverse(V_5),multiply(V_5,multiply(V_6,
% inverse(multiply(V_4,V_6))))),
% multiply(V_7,inverse(multiply(D,V_7))))) <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),D))))
% Rule [929]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(
% inverse(V_5),
% inverse(
% multiply(
% inverse(V_7),V_7)))),
% inverse(V_4)))) is composed into [929]
% multiply(A,
% multiply(
% multiply(
% inverse(B),
% multiply(B,
% multiply(C,
% inverse(
% multiply(A,C))))),
% multiply(D,
% inverse(
% multiply(V_4,D)))))
% <->
% multiply(V_5,
% multiply(V_6,
% multiply(
% multiply(
% inverse(V_6),
% multiply(
% inverse(V_5),
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),
% inverse(V_4))))
% Rule [928]
% multiply(V_4,multiply(V_5,multiply(V_6,inverse(multiply(D,multiply(V_4,
% multiply(V_5,
% multiply(V_7,
% inverse(
% multiply(
% inverse(V_6),V_7))))))))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C)))),D)))) is composed into
% [928]
% multiply(V_4,multiply(V_5,multiply(V_6,inverse(multiply(D,multiply(V_4,
% multiply(V_5,
% multiply(V_7,
% inverse(multiply(
% inverse(V_6),V_7))))))))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),D))))
% Rule [925]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(
% inverse(V_5),
% inverse(
% multiply(
% inverse(V_7),V_7)))),
% inverse(D)))) is composed into [925]
% multiply(A,
% multiply(B,
% multiply(C,
% inverse(
% multiply(D,
% multiply(A,
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <->
% multiply(V_5,
% multiply(V_6,
% multiply(
% multiply(
% inverse(V_6),
% multiply(
% inverse(V_5),
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),
% inverse(D))))
% Rule [892]
% multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B))))))
% <-> multiply(inverse(D),D) is composed into [892]
% multiply(A,multiply(B,
% multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(A,B))))))
% ->
% inverse(multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))
% Rule [888]
% inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),
% multiply(V_4,V_5))) <-> multiply(inverse(A),A) is composed into
% [888]
% inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),
% multiply(V_4,V_5))) <->
% inverse(multiply(A,multiply(c3,inverse(multiply(A,c3)))))
% Rule [875]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(C)))) is composed into [875]
% multiply(
% inverse(A),
% multiply(A,
% multiply(B,
% inverse(multiply(C,B)))))
% <->
% multiply(D,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),
% multiply(
% inverse(D),
% inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),
% inverse(C))))
% Rule [873]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(A),
% inverse(
% multiply(
% inverse(C),C)))),D)))) is composed into
% [873]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),D))))
% Rule [870]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(
% inverse(D),
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(C)))) is composed into [870]
% multiply(A,
% multiply(B,
% multiply(
% inverse(B),
% inverse(multiply(C,A)))))
% <->
% multiply(D,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),
% multiply(
% inverse(D),
% inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),
% inverse(C))))
% Rule [832]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) <->
% inverse(multiply(inverse(c3),c3)) is composed into [832]
% inverse(multiply(A,
% multiply(B,
% multiply(
% inverse(B),
% inverse(A)))))
% ->
% inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))
% Rule [821]
% inverse(multiply(inverse(A),B)) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(C),C),
% multiply(inverse(multiply(
% inverse(c3),c3)),
% inverse(multiply(inverse(B),A))))))) is composed into
% [821]
% inverse(multiply(inverse(A),B)) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3))))),
% multiply(inverse(inverse(multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% inverse(multiply(inverse(B),A)))))))
% Rule [789]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(
% inverse(C),B))),A))),
% multiply(multiply(inverse(D),D),multiply(C,inverse(V_4)))) is composed into
% [789]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),B))),A))),
% multiply(inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))),
% multiply(C,inverse(V_4))))
% Rule [788]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(V_4)))) is composed into [788]
% multiply(
% inverse(V_5),
% multiply(V_5,
% multiply(V_6,
% inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,
% multiply(
% multiply(
% inverse(A),
% multiply(B,
% inverse(multiply(
% multiply(C,
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))),B)))),
% multiply(C,
% inverse(V_4))))
% Rule [755]
% multiply(multiply(V_4,inverse(multiply(inverse(C),V_4))),D) <->
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),B)),
% multiply(C,D))) is composed into [755]
% multiply(multiply(V_4,
% inverse(multiply(
% inverse(C),V_4))),D)
% <->
% multiply(A,multiply(
% multiply(
% inverse(A),
% inverse(multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% multiply(C,D)))
% Rule [713]
% inverse(multiply(D,inverse(multiply(C,D)))) <->
% multiply(multiply(inverse(A),A),multiply(B,multiply(inverse(B),C))) is composed into
% [713]
% inverse(multiply(D,inverse(multiply(C,D)))) <->
% multiply(inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))),multiply(B,
% multiply(
% inverse(B),C)))
% Rule [698]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(D,V_5)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4)))))))))) is composed into
% [698]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(D,V_5)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))))
% Rule [636]
% multiply(A,multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(D,
% inverse(
% multiply(V_4,
% multiply(A,
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(
% inverse(D),V_5))))))))),V_4))))
% <-> multiply(inverse(V_6),V_6) is composed into [636]
% multiply(A,multiply(
% inverse(B),
% multiply(B,
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,
% multiply(A,
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(
% inverse(D),V_5))))))))),V_4))))
% ->
% inverse(multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))
% Rule [616]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(
% inverse(
% multiply(
% inverse(C),
% inverse(B))),
% multiply(
% inverse(V_4),V_4)))))))) is composed into
% [616]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(
% inverse(
% multiply(
% inverse(C),
% inverse(B))),
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))
% Rule [613]
% multiply(A,multiply(V_4,multiply(inverse(V_4),inverse(multiply(inverse(C),
% inverse(B))))))
% <-> multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D))))) is composed into
% [613]
% multiply(A,multiply(V_4,multiply(inverse(V_4),inverse(multiply(inverse(C),
% inverse(B)))))) <->
% multiply(A,multiply(B,multiply(C,inverse(inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))))))))
% Rule [579]
% inverse(multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(C,
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))),V_5))
% <-> multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C))) is composed into
% [579]
% inverse(multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(C,
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))),V_5))
% <->
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(c3,multiply(c3,
% inverse(multiply(c3,c3))))),C)))
% Rule [578]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),multiply(
% multiply(
% inverse(C),V_4),
% inverse(
% multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6))
% <-> multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C))) is composed into
% [578]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),multiply(multiply(
% inverse(C),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6))
% <->
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(c3,multiply(c3,
% inverse(multiply(c3,c3))))),C)))
% Rule [557]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(multiply(multiply(inverse(
% multiply(
% inverse(D),D)),
% multiply(V_4,inverse(
% multiply(V_5,V_4)))),V_5),C)))) is composed into
% [557]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(multiply(multiply(inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% multiply(V_4,inverse(
% multiply(V_5,V_4)))),V_5),C))))
% Rule [551]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4)))))))))) is composed into
% [551]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))))
% Rule [547]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D)),V_4)))
% <-> multiply(inverse(V_5),V_5) is composed into [547]
% inverse(multiply(A,
% multiply(
% multiply(
% inverse(A),
% multiply(
% multiply(B,
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D)),V_4)))
% ->
% inverse(multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))
% Rule [516]
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(
% multiply(B,D))))),
% multiply(V_4,inverse(multiply(A,V_4)))))) <->
% multiply(inverse(V_5),V_5) is composed into [516]
% multiply(A,multiply(B,
% multiply(
% multiply(
% inverse(C),
% multiply(C,
% multiply(D,
% inverse(multiply(B,D))))),
% multiply(V_4,
% inverse(multiply(A,V_4))))))
% ->
% inverse(multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))
% Rule [514]
% multiply(A,multiply(B,multiply(C,multiply(D,inverse(multiply(A,multiply(B,
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% inverse(D),V_4)))))))))))
% <-> multiply(inverse(V_5),V_5) is composed into [514]
% multiply(A,multiply(B,
% multiply(C,
% multiply(D,
% inverse(
% multiply(A,
% multiply(B,
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% inverse(D),V_4)))))))))))
% ->
% inverse(multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))
% Rule [510]
% inverse(multiply(V_5,inverse(multiply(V_4,V_5)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(inverse(D),D),V_4))) is composed into
% [510]
% inverse(multiply(V_5,inverse(multiply(V_4,V_5)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))),V_4)))
% Rule [503]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(c3,multiply(inverse(c3),multiply(
% inverse(
% multiply(
% inverse(V_4),V_4)),C)))))) is composed into
% [503]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(c3,multiply(inverse(c3),multiply(
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),C))))))
% Rule [494]
% multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(multiply(B,V_4)),C))))
% <-> inverse(multiply(inverse(A),A)) is composed into [494]
% multiply(multiply(
% inverse(B),C),
% inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(
% inverse(
% multiply(B,V_4)),C))))
% <->
% inverse(inverse(
% multiply(A,
% multiply(c3,
% inverse(
% multiply(A,c3))))))
% Rule [490]
% multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_5))))))
% <-> multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D))))) is composed into
% [490]
% multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),V_5))))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))))))))
% Rule [480]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),V_4),inverse(
% multiply(V_5,
% multiply(C,V_4))))),V_5))
% <-> multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C))) is composed into
% [480]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),V_4),inverse(
% multiply(V_5,
% multiply(C,V_4))))),V_5))
% <->
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(c3,multiply(c3,
% inverse(multiply(c3,c3))))),C)))
% Rule [468]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(B,inverse(
% multiply(
% inverse(V_4),V_4))),D))))) is composed into
% [468]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(B,inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))),D)))))
% Rule [458]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),C),inverse(B))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(A),A),
% inverse(B)))) is composed into
% [458]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),C),inverse(B))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(A,multiply(c3,
% inverse(
% multiply(A,c3))))),
% inverse(B))))
% Rule [456]
% inverse(multiply(multiply(C,multiply(D,inverse(multiply(V_4,D)))),V_4))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),inverse(C)))) is composed into
% [456]
% inverse(multiply(multiply(C,multiply(D,inverse(multiply(V_4,D)))),V_4)) <->
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(c3,multiply(c3,
% inverse(multiply(c3,c3))))),
% inverse(C))))
% Rule [452]
% inverse(multiply(C,inverse(multiply(multiply(D,inverse(multiply(
% inverse(B),D))),C))))
% <-> multiply(multiply(inverse(A),A),B) is composed into [452]
% inverse(
% multiply(C,
% inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(B),D))),C))))
% <->
% multiply(
% inverse(
% multiply(A,
% multiply(c3,
% inverse(
% multiply(A,c3))))),B)
% Rule [450]
% inverse(multiply(D,inverse(multiply(C,D)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C))) is composed into
% [450]
% inverse(multiply(D,inverse(multiply(C,D)))) <->
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(c3,multiply(c3,
% inverse(multiply(c3,c3))))),C)))
% Rule [447]
% multiply(A,multiply(B,multiply(V_4,inverse(multiply(inverse(C),V_4)))))
% <-> multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D))))) is composed into
% [447]
% multiply(A,multiply(B,multiply(V_4,inverse(multiply(inverse(C),V_4))))) ->
% multiply(A,multiply(B,multiply(C,inverse(inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))))))))
% Rule [428]
% multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(A,multiply(multiply(
% inverse(A),
% multiply(
% inverse(B),B)),
% multiply(multiply(A,
% multiply(B,
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6))))),V_4))))))) is composed into
% [428]
% multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(A,multiply(multiply(
% inverse(A),
% inverse(multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% multiply(multiply(A,
% multiply(B,
% multiply(V_6,
% inverse(multiply(
% inverse(C),V_6))))),V_4)))))))
% Rule [290]
% multiply(A,multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C))))))
% <-> multiply(inverse(D),D) is composed into [290]
% multiply(A,multiply(
% inverse(B),
% multiply(B,
% multiply(C,
% inverse(multiply(A,C))))))
% ->
% inverse(multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))
% Rule [233]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(C),inverse(multiply(inverse(c3),c3))) is composed into
% [233]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(C),inverse(inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))))
% Rule [231]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(A,V_6)))))
% <-> inverse(multiply(A,inverse(multiply(inverse(c3),c3)))) is composed into
% [231]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(A,V_6)))))
% <->
% inverse(multiply(A,inverse(inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))))))
% Rule [228]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(C),inverse(multiply(inverse(c3),c3))) is composed into
% [228]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(C),inverse(inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))))
% New rule produced :
% [1015]
% multiply(inverse(D),D) <->
% inverse(multiply(A,multiply(c3,inverse(multiply(A,c3)))))
% Rule [124] multiply(inverse(B),B) <-> multiply(inverse(A),A) collapsed.
% Rule
% [125]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(C),C)))))
% -> B collapsed.
% Rule
% [281]
% multiply(A,multiply(B,multiply(multiply(inverse(C),C),inverse(multiply(D,
% multiply(A,B))))))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% collapsed.
% Rule
% [282]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(inverse(C),C)))))
% -> A collapsed.
% Rule
% [291]
% multiply(inverse(D),D) <->
% multiply(A,multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C))))))
% collapsed.
% Rule
% [309]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),D)))),
% inverse(C)))) -> B collapsed.
% Rule
% [434]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(C),C),
% inverse(multiply(D,
% multiply(inverse(V_4),B))))),D)))
% -> V_4 collapsed.
% Rule
% [438]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(C,
% inverse(multiply(
% inverse(V_4),V_4)))))))))))
% -> D collapsed.
% Rule
% [441]
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(multiply(inverse(C),C)),B))))
% -> inverse(A) collapsed.
% Rule
% [442]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(
% inverse(D),D)))),
% inverse(C)))) -> A collapsed.
% Rule
% [443]
% multiply(A,multiply(multiply(B,inverse(multiply(C,B))),multiply(multiply(
% inverse(D),D),C)))
% -> A collapsed.
% Rule
% [446]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(
% inverse(D),D)))))
% -> multiply(A,C) collapsed.
% Rule
% [448]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D))))) <->
% multiply(A,multiply(B,multiply(V_4,inverse(multiply(inverse(C),V_4)))))
% collapsed.
% Rule
% [451]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C))) <->
% inverse(multiply(D,inverse(multiply(C,D)))) collapsed.
% Rule
% [454]
% multiply(A,multiply(inverse(multiply(B,A)),multiply(inverse(C),C))) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(B,V_4)))))
% collapsed.
% Rule
% [457]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),inverse(C))))
% <-> inverse(multiply(multiply(C,multiply(D,inverse(multiply(V_4,D)))),V_4))
% collapsed.
% Rule
% [459]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(A),A),inverse(B))))
% <->
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),C),inverse(B))))
% collapsed.
% Rule
% [461]
% inverse(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% multiply(
% inverse(D),D),C))),B)))))
% -> A collapsed.
% Rule
% [466]
% inverse(multiply(multiply(inverse(A),A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))))
% -> D collapsed.
% Rule
% [467]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(B,inverse(multiply(
% inverse(V_4),V_4))),D)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) collapsed.
% Rule
% [469]
% multiply(A,multiply(multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D),
% multiply(multiply(inverse(V_4),V_4),inverse(B)))) -> A collapsed.
% Rule
% [472]
% multiply(inverse(A),multiply(A,multiply(inverse(B),B))) <->
% multiply(inverse(C),C) collapsed.
% Rule
% [477]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% -> D collapsed.
% Rule
% [478]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(inverse(V_4),V_4))))) -> D collapsed.
% Rule
% [479]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(V_4),V_4))),C)))),
% multiply(D,inverse(B)))) -> A collapsed.
% Rule
% [481]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),C)))
% collapsed.
% Rule
% [482]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),C))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C)))
% collapsed.
% Rule
% [483]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(D,
% multiply(
% inverse(
% multiply(
% inverse(V_4),V_4)),C))))),D))
% -> A collapsed.
% Rule
% [488]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),V_4))))),D)))
% <-> multiply(B,multiply(V_5,inverse(multiply(inverse(C),V_5)))) collapsed.
% Rule
% [489]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),A),inverse(
% multiply(C,
% multiply(
% inverse(D),D))))))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% collapsed.
% Rule
% [491]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D))))) <->
% multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),V_5))))))
% collapsed.
% Rule
% [493] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% collapsed.
% Rule
% [495] inverse(multiply(inverse(A),inverse(multiply(inverse(c3),c3)))) -> A
% collapsed.
% Rule
% [496]
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(inverse(c3),c3)),V_5)))
% -> V_5 collapsed.
% Rule
% [497]
% multiply(inverse(multiply(inverse(A),A)),multiply(V_4,multiply(inverse(V_4),V_5)))
% -> V_5 collapsed.
% Rule
% [498]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(D))),inverse(C))))
% -> A collapsed.
% Rule
% [500]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(D))),inverse(C))))
% -> B collapsed.
% Rule
% [511]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(inverse(D),D),V_4))) <->
% inverse(multiply(V_5,inverse(multiply(V_4,V_5)))) collapsed.
% Rule
% [512]
% multiply(B,multiply(C,inverse(multiply(inverse(multiply(inverse(D),D)),
% multiply(inverse(A),multiply(B,multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4)))))))))
% -> A collapsed.
% Rule
% [513]
% inverse(multiply(A,multiply(B,inverse(multiply(inverse(multiply(inverse(C),C)),
% multiply(D,multiply(A,multiply(V_4,
% inverse(multiply(
% inverse(B),V_4))))))))))
% -> D collapsed.
% Rule
% [515]
% multiply(inverse(V_5),V_5) <->
% multiply(A,multiply(B,multiply(C,multiply(D,inverse(multiply(A,multiply(B,
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% inverse(D),V_4)))))))))))
% collapsed.
% Rule
% [518]
% multiply(A,multiply(c3,inverse(multiply(inverse(multiply(inverse(B),B)),c3))))
% -> A collapsed.
% Rule
% [531]
% inverse(multiply(D,multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(V_5),V_5))),
% multiply(C,V_4))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,C))) collapsed.
% Rule
% [537]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),B),inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(
% inverse(
% multiply(V_4,D)),V_4))))))
% -> A collapsed.
% Rule
% [538]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),
% multiply(
% inverse(
% multiply(B,D)),C))))))
% -> A collapsed.
% Rule
% [539]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(B,C)),
% inverse(multiply(multiply(D,inverse(multiply(
% inverse(C),D))),
% multiply(inverse(V_4),V_4)))))) -> A
% collapsed.
% Rule
% [540]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(D),D),
% inverse(multiply(V_4,
% multiply(V_5,C))))),V_4)),V_5)))
% -> B collapsed.
% Rule
% [541]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(D),D),
% inverse(multiply(V_4,
% multiply(V_5,C))))),V_4)),V_5)))
% -> A collapsed.
% Rule
% [542]
% multiply(A,multiply(multiply(multiply(B,multiply(multiply(inverse(B),C),
% inverse(multiply(D,multiply(V_4,C))))),D),
% multiply(multiply(inverse(V_5),V_5),V_4))) -> A collapsed.
% Rule
% [544]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(multiply(inverse(V_5),V_5))))) ->
% multiply(A,V_4) collapsed.
% Rule
% [545]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(A,
% inverse(multiply(
% inverse(V_4),V_4))))),
% inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B)))) collapsed.
% Rule
% [550]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% collapsed.
% Rule
% [555]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),
% multiply(V_5,C))))),
% multiply(D,V_5))) -> A collapsed.
% Rule
% [559]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),
% inverse(multiply(
% inverse(D),D))))),V_5)))
% -> D collapsed.
% Rule
% [563]
% multiply(A,multiply(multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,B)))),C),
% multiply(multiply(inverse(D),D),inverse(V_4)))) -> inverse(V_4)
% collapsed.
% Rule
% [566]
% multiply(multiply(A,inverse(multiply(B,A))),multiply(C,multiply(multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),D),B)),
% inverse(V_4)))) ->
% inverse(V_4) collapsed.
% Rule
% [567]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_5),V_5))))))))),D)))
% -> V_4 collapsed.
% Rule
% [568]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(V_4))))))))))
% -> D collapsed.
% Rule
% [570]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_5),V_5))))))))),D))))
% -> V_4 collapsed.
% Rule
% [571]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),V_5))))),V_4)),
% inverse(D)))) -> B collapsed.
% Rule
% [572]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(multiply(V_5,D)))),V_5)))
% -> B collapsed.
% Rule
% [574]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(V_4,inverse(multiply(inverse(V_5),V_5)))),
% inverse(V_4)))) -> D collapsed.
% Rule
% [576]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),V_5))))),V_4)),
% inverse(D)))) -> A collapsed.
% Rule
% [577]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(multiply(V_5,D)))),V_5)))
% -> A collapsed.
% Rule
% [580]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),B),C))) <->
% inverse(multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(C,
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))),V_5))
% collapsed.
% Rule
% [581]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))),
% inverse(V_4)))))))))
% -> D collapsed.
% Rule
% [582]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))),
% inverse(V_4)),C)))),
% multiply(D,inverse(B)))) -> A collapsed.
% Rule
% [583]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,multiply(V_4,inverse(multiply(inverse(V_5),V_5)))),
% inverse(V_4)))) -> A collapsed.
% Rule
% [585]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(D,multiply(
% inverse(
% multiply(
% inverse(V_4),V_4)),
% multiply(B,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D))
% -> A collapsed.
% Rule
% [586]
% multiply(A,multiply(inverse(A),inverse(multiply(inverse(c3),c3)))) <->
% multiply(inverse(V_5),V_5) collapsed.
% Rule
% [587]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(D))),
% inverse(V_5))),V_5))) -> A
% collapsed.
% Rule
% [588]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_5),V_5),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_4)))))))))))
% -> D collapsed.
% Rule
% [589]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),B),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(V_5),V_5)))))))))))
% -> D collapsed.
% Rule
% [590]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% multiply(
% inverse(D),D),
% inverse(
% multiply(
% inverse(V_4),
% multiply(A,C)))))),
% inverse(multiply(inverse(V_5),V_4))))) -> V_5
% collapsed.
% Rule
% [591]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% inverse(D),
% multiply(A,C))))),
% multiply(multiply(inverse(V_4),V_4),inverse(multiply(inverse(V_5),D)))))
% -> V_5 collapsed.
% Rule
% [592]
% multiply(A,multiply(inverse(multiply(B,inverse(multiply(inverse(C),B)))),
% multiply(C,inverse(multiply(D,multiply(A,multiply(inverse(V_4),V_4)))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% collapsed.
% Rule
% [594]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(inverse(C),B))))),
% multiply(A,multiply(C,inverse(multiply(D,multiply(inverse(V_4),V_4)))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% collapsed.
% Rule
% [595]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),B),
% inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,inverse(V_5)))))),
% multiply(D,V_4))) -> V_5 collapsed.
% Rule
% [598]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),B),
% inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,V_5))))),
% multiply(D,V_4)))) -> V_5 collapsed.
% Rule
% [599]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),
% inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),
% multiply(V_5,C))))),
% multiply(D,V_5)))) -> B collapsed.
% Rule
% [600]
% inverse(multiply(multiply(multiply(inverse(A),B),inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B)))),
% multiply(multiply(inverse(V_5),V_5),multiply(D,V_4)))) -> A
% collapsed.
% Rule
% [601]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(V_4))),
% inverse(D))),inverse(C))))
% -> B collapsed.
% Rule
% [604]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(V_4)))) -> inverse(V_4) collapsed.
% Rule
% [606]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(V_4))),
% inverse(D))),inverse(C))))
% -> A collapsed.
% Rule
% [607]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(D))),
% inverse(V_5))),V_5))) -> B
% collapsed.
% Rule
% [614]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),D))))) <->
% multiply(A,multiply(V_4,multiply(inverse(V_4),inverse(multiply(inverse(C),
% inverse(B))))))
% collapsed.
% Rule
% [615]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(
% inverse(
% multiply(
% inverse(C),
% inverse(B))),
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% collapsed.
% Rule
% [624]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(multiply(B,inverse(
% multiply(
% inverse(C),B)))),
% multiply(C,inverse(multiply(D,
% multiply(inverse(V_4),
% multiply(inverse(V_5),V_5)))))),D)))
% -> V_4 collapsed.
% Rule
% [625]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),D)))),
% inverse(multiply(inverse(V_4),multiply(B,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5)))))))))
% -> V_4 collapsed.
% Rule
% [627]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(inverse(multiply(B,
% inverse(
% multiply(
% inverse(C),B)))),
% multiply(C,inverse(multiply(D,
% multiply(V_4,
% multiply(
% inverse(V_5),V_5)))))),D))))
% -> V_4 collapsed.
% Rule
% [628]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(multiply(
% inverse(D),D)))),
% inverse(multiply(V_4,multiply(B,
% multiply(V_5,
% inverse(multiply(
% inverse(C),V_5))))))))))
% -> V_4 collapsed.
% Rule
% [637]
% inverse(multiply(D,multiply(multiply(inverse(D),multiply(multiply(inverse(C),V_4),
% inverse(multiply(V_5,
% multiply(multiply(B,
% inverse(
% multiply(
% inverse(V_6),V_6))),V_4))))),V_5)))
% <-> multiply(inverse(A),multiply(A,multiply(B,C))) collapsed.
% Rule
% [638]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(B,inverse(multiply(
% inverse(V_5),V_5))),
% multiply(C,multiply(D,multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,C))) collapsed.
% Rule
% [664]
% multiply(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(
% inverse(C),
% multiply(
% inverse(D),B)))))),
% multiply(D,multiply(C,inverse(multiply(inverse(V_4),multiply(inverse(V_5),V_5))))))
% -> V_4 collapsed.
% Rule
% [665]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(C,
% multiply(
% multiply(
% inverse(C),A),
% inverse(multiply(
% inverse(D),
% multiply(
% inverse(V_4),V_4)))))),
% inverse(multiply(inverse(V_5),D))))) -> V_5
% collapsed.
% Rule
% [668]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),
% inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(inverse(V_5),V_5))))),
% multiply(V_4,inverse(C))))) -> B collapsed.
% Rule
% [676]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),D),
% inverse(multiply(V_4,
% multiply(V_5,V_6))))),V_4)),V_5)),V_6)))
% -> B collapsed.
% Rule
% [677]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D)))),
% multiply(
% multiply(
% inverse(V_6),V_6),V_4)),V_5)),C)))
% -> B collapsed.
% Rule
% [678]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_6),V_6))))))))),V_4)),V_5)))
% -> B collapsed.
% Rule
% [680]
% inverse(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(multiply(V_4,D)),
% multiply(V_4,multiply(B,
% inverse(multiply(
% inverse(V_5),V_5))))))))))
% -> A collapsed.
% Rule
% [681]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_5)))),
% inverse(V_4)),
% multiply(
% inverse(
% multiply(B,D)),C))))))
% -> A collapsed.
% Rule
% [682]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(multiply(B,C),
% multiply(D,inverse(
% multiply(
% inverse(V_4),V_4))))),
% inverse(multiply(multiply(V_5,inverse(multiply(
% inverse(C),V_5))),D)))))
% -> A collapsed.
% Rule
% [683]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_6),V_6))))))))),V_4)),V_5)))
% -> A collapsed.
% Rule
% [685]
% multiply(inverse(multiply(A,multiply(inverse(A),inverse(multiply(inverse(B),
% inverse(C)))))),
% multiply(C,multiply(B,inverse(multiply(D,multiply(inverse(V_4),V_4)))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% collapsed.
% Rule
% [697]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(D,V_5)))))
% collapsed.
% Rule
% [700]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),D))))),
% multiply(V_4,multiply(inverse(V_4),C))) <->
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) collapsed.
% Rule
% [701]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(A,multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))))))))),
% multiply(C,multiply(inverse(V_5),V_5))) -> D collapsed.
% Rule
% [702]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(A,multiply(B,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))),
% multiply(V_5,multiply(inverse(V_5),C))) -> D collapsed.
% Rule
% [705]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,
% inverse(multiply(
% multiply(
% inverse(D),D),C))))),
% inverse(V_4))),multiply(V_5,multiply(inverse(V_5),V_4)))
% -> B collapsed.
% Rule
% [708]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D)))),multiply(V_4,multiply(
% inverse(V_5),V_5)))
% -> B collapsed.
% Rule
% [714]
% multiply(multiply(inverse(A),A),multiply(B,multiply(inverse(B),C))) <->
% inverse(multiply(D,inverse(multiply(C,D)))) collapsed.
% Rule
% [715]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(C,multiply(
% inverse(D),D)))
% -> A collapsed.
% Rule
% [716]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(multiply(
% inverse(V_4),V_4)))),B)))),
% multiply(C,D)) -> A collapsed.
% Rule
% [747]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(
% inverse(
% multiply(
% inverse(C),
% inverse(B))),
% multiply(
% inverse(V_4),V_4))))))))
% -> D collapsed.
% Rule
% [750]
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(C),C)))),multiply(
% multiply(
% inverse(D),
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4))))),
% multiply(V_5,
% inverse(B))))
% -> A collapsed.
% Rule
% [756]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),B)),multiply(C,D)))
% <-> multiply(multiply(V_4,inverse(multiply(inverse(C),V_4))),D) collapsed.
% Rule
% [786]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(C),
% multiply(C,
% multiply(D,
% inverse(multiply(
% multiply(
% inverse(V_4),V_4),D))))),
% inverse(V_5))),V_5))) -> B
% collapsed.
% Rule
% [787]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),D))),B)))),
% multiply(C,inverse(V_4)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Rule
% [790]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),B))),A))),
% multiply(multiply(inverse(D),D),multiply(C,inverse(V_4)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Rule
% [792]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(A),D))))),
% inverse(multiply(inverse(V_4),V_4)))),
% inverse(A)))) -> C collapsed.
% Rule
% [818]
% multiply(inverse(C),multiply(C,multiply(A,multiply(inverse(multiply(inverse(D),D)),B))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(inverse(multiply(
% inverse(c3),c3)),B))))
% collapsed.
% Rule
% [820]
% inverse(multiply(inverse(c3),multiply(c3,multiply(B,inverse(multiply(
% inverse(C),
% inverse(multiply(
% inverse(D),D))))))))
% <-> inverse(multiply(inverse(A),multiply(A,multiply(B,C)))) collapsed.
% Rule
% [822]
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(C),C),
% multiply(inverse(multiply(inverse(c3),c3)),
% inverse(multiply(inverse(B),A)))))))
% <-> inverse(multiply(inverse(A),B)) collapsed.
% Rule
% [826]
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(C,multiply(inverse(
% multiply(
% inverse(c3),c3)),D)))))
% collapsed.
% Rule
% [828]
% inverse(multiply(A,multiply(B,multiply(inverse(B),multiply(multiply(inverse(A),
% multiply(inverse(C),C)),D)))))
% -> inverse(D) collapsed.
% Rule
% [829]
% inverse(multiply(multiply(A,inverse(B)),multiply(C,multiply(inverse(C),
% multiply(multiply(
% inverse(D),D),B)))))
% -> inverse(A) collapsed.
% Rule
% [830]
% inverse(multiply(A,multiply(multiply(multiply(inverse(A),multiply(B,inverse(C))),C),
% multiply(inverse(D),D)))) -> inverse(B) collapsed.
% Rule
% [831]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,
% inverse(
% multiply(
% inverse(D),D)))))),C)))
% -> inverse(B) collapsed.
% Rule
% [838]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),D))),V_4)))),
% multiply(C,V_4)))) -> inverse(B) collapsed.
% Rule
% [839]
% inverse(multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(
% inverse(C),B))),D))),
% multiply(multiply(inverse(V_4),V_4),multiply(C,D)))) -> inverse(A)
% collapsed.
% Rule
% [841]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),
% inverse(B)))))) ->
% inverse(multiply(inverse(c3),c3)) collapsed.
% Rule
% [849]
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,D),inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(V_7,
% inverse(
% multiply(D,V_7))),V_5))))))
% collapsed.
% Rule
% [867]
% inverse(multiply(inverse(B),multiply(B,multiply(C,multiply(inverse(multiply(
% inverse(D),D)),
% multiply(inverse(C),
% multiply(V_4,inverse(
% multiply(
% inverse(A),V_4)))))))))
% -> inverse(A) collapsed.
% Rule
% [868]
% inverse(multiply(inverse(B),multiply(B,multiply(C,multiply(inverse(multiply(
% inverse(D),D)),
% multiply(inverse(C),
% multiply(A,inverse(
% multiply(
% inverse(V_4),V_4)))))))))
% -> inverse(A) collapsed.
% Rule
% [869]
% multiply(A,multiply(multiply(multiply(B,multiply(C,inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(V_5,
% inverse(multiply(
% inverse(C),V_5))))))))),D),
% multiply(multiply(inverse(V_6),V_6),V_4))) -> A collapsed.
% Rule
% [871]
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(inverse(D),
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(C)))) <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% collapsed.
% Rule
% [872]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% collapsed.
% Rule
% [874]
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(inverse(D),
% inverse(multiply(
% inverse(V_5),V_5)))),
% inverse(C)))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% collapsed.
% Rule
% [877]
% inverse(multiply(inverse(multiply(inverse(A),A)),multiply(B,multiply(
% multiply(
% inverse(B),
% multiply(
% inverse(C),C)),
% inverse(D))))) ->
% D collapsed.
% Rule
% [878]
% inverse(multiply(A,multiply(multiply(inverse(A),inverse(multiply(inverse(B),B))),
% multiply(multiply(inverse(C),C),inverse(D))))) -> D
% collapsed.
% Rule
% [879]
% multiply(A,multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(
% inverse(B),
% inverse(
% multiply(
% inverse(D),D)))),
% inverse(A))))) <->
% multiply(inverse(V_4),V_4) collapsed.
% Rule
% [883]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% <->
% multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),multiply(inverse(V_4),
% inverse(multiply(
% inverse(V_6),V_6)))),
% inverse(D)))) collapsed.
% Rule
% [884]
% multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),multiply(inverse(V_4),
% inverse(multiply(
% inverse(V_6),V_6)))),
% inverse(D)))) <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% collapsed.
% Rule
% [887]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(C),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,B))))),
% multiply(V_4,V_5))) -> A collapsed.
% Rule
% [889]
% multiply(multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),
% multiply(inverse(C),
% inverse(multiply(inverse(D),D)))),
% inverse(V_4))),V_4)),multiply(V_5,
% multiply(
% inverse(V_5),C)))
% -> A collapsed.
% Rule
% [890]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(
% inverse(V_5),V_5))))),
% multiply(V_4,inverse(C)))) -> A collapsed.
% Rule
% [893]
% multiply(inverse(D),D) <->
% multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B))))))
% collapsed.
% Rule
% [895]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(inverse(V_4),V_4))))) -> D collapsed.
% Rule
% [909]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% multiply(
% inverse(V_4),V_4),D))),C))))),
% multiply(B,inverse(multiply(V_5,A)))))) -> V_5 collapsed.
% Rule
% [911]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4))),C))))),
% multiply(B,inverse(multiply(V_5,multiply(A,D))))))) -> V_5
% collapsed.
% Rule
% [912]
% multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),
% multiply(inverse(B),
% inverse(multiply(inverse(D),D)))),
% inverse(V_4)))),multiply(V_4,
% inverse(multiply(
% inverse(V_5),A)))))
% -> V_5 collapsed.
% Rule
% [913]
% inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(multiply(D,C))))),
% multiply(multiply(D,multiply(inverse(A),inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(V_5))))) -> V_5 collapsed.
% Rule
% [914]
% inverse(multiply(multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))),
% multiply(D,multiply(multiply(inverse(D),multiply(C,inverse(multiply(
% inverse(V_4),V_4)))),
% inverse(V_5))))) -> V_5 collapsed.
% Rule
% [915]
% multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),
% multiply(inverse(B),
% inverse(multiply(inverse(D),D)))),
% inverse(A)))),multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_4)))))
% -> V_5 collapsed.
% Rule
% [916]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(D),D)))),
% inverse(V_5))))) -> V_5 collapsed.
% Rule
% [918]
% multiply(multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),
% inverse(multiply(inverse(C),C)))),
% inverse(D))),multiply(V_4,multiply(inverse(V_4),D))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(B,V_6)))))
% collapsed.
% Rule
% [919]
% multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),
% multiply(inverse(B),
% inverse(multiply(inverse(D),D)))),
% inverse(A)))),multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_5)))))
% -> V_4 collapsed.
% Rule
% [922]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% inverse(D)),B)))),
% multiply(C,inverse(V_5))))) -> V_5 collapsed.
% Rule
% [923]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(
% multiply(
% inverse(C),C),D),B)))),
% multiply(inverse(multiply(V_4,inverse(multiply(D,V_4)))),
% inverse(V_5))))) -> V_5 collapsed.
% Rule
% [926]
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% inverse(multiply(
% inverse(V_7),V_7)))),
% inverse(D)))) <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% collapsed.
% Rule
% [927]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% <->
% multiply(V_4,multiply(V_5,multiply(V_6,inverse(multiply(D,multiply(V_4,
% multiply(V_5,
% multiply(V_7,
% inverse(multiply(
% inverse(V_6),V_7))))))))))
% collapsed.
% Rule
% [930]
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% inverse(multiply(
% inverse(V_7),V_7)))),
% inverse(V_4)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) collapsed.
% Rule
% [931]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(
% inverse(C),C)))),D))))
% <->
% multiply(V_4,multiply(multiply(inverse(V_5),multiply(V_5,multiply(V_6,
% inverse(multiply(V_4,V_6))))),
% multiply(V_7,inverse(multiply(D,V_7))))) collapsed.
% Rule
% [934]
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% inverse(multiply(
% inverse(V_7),V_7)))),
% inverse(V_4)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) collapsed.
% Rule
% [936]
% inverse(multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(multiply(
% inverse(C),C)),D)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),inverse(
% multiply(B,D)))))
% collapsed.
% Rule
% [938]
% inverse(multiply(inverse(V_4),multiply(V_4,multiply(C,multiply(inverse(
% multiply(
% inverse(V_5),V_5)),D)))))
% <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),
% multiply(C,D))))) collapsed.
% Rule
% [941]
% inverse(multiply(A,multiply(inverse(multiply(inverse(B),B)),multiply(
% inverse(multiply(C,
% inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C)))),
% inverse(multiply(V_5,
% multiply(A,V_4)))))))
% -> V_5 collapsed.
% Rule
% [942]
% inverse(multiply(inverse(A),multiply(inverse(multiply(B,multiply(C,inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(A),D))),C))))),
% multiply(B,inverse(multiply(V_4,multiply(
% inverse(V_5),V_5)))))))
% -> V_4 collapsed.
% Rule
% [945]
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(c3),c3),
% multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))),D))))))))
% <-> multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) collapsed.
% Rule
% [948]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),V_4))))),D)))
% <-> multiply(A,multiply(V_5,inverse(multiply(inverse(C),V_5)))) collapsed.
% Rule
% [949]
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(multiply(inverse(C),C)),
% multiply(D,multiply(inverse(A),
% multiply(V_4,inverse(
% multiply(
% inverse(B),V_4)))))))))
% -> inverse(D) collapsed.
% Rule
% [958]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% <->
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(D,V_8))))) collapsed.
% Rule
% [976]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4))))))))))
% <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(D,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% collapsed.
% Rule
% [980]
% inverse(multiply(multiply(inverse(B),B),multiply(C,inverse(multiply(multiply(
% multiply(A,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),C)))))
% -> A collapsed.
% Rule
% [982]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(
% inverse(D),D),V_4),C)))),
% multiply(inverse(multiply(V_5,inverse(multiply(V_4,V_5)))),
% inverse(B)))) -> A collapsed.
% Rule
% [985] inverse(multiply(inverse(A),A)) <-> inverse(multiply(inverse(c3),c3))
% collapsed.
% Rule
% [987]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),B),inverse(multiply(
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),
% multiply(
% inverse(
% multiply(V_5,C)),V_5))))))
% -> A collapsed.
% Rule
% [988]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(B,C)),
% inverse(multiply(multiply(multiply(C,multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),
% multiply(inverse(V_5),V_5)))))) -> A
% collapsed.
% Rule
% [990]
% multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(A),A)))) ->
% inverse(multiply(inverse(c3),c3)) collapsed.
% Rule
% [995]
% inverse(multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(A),A)))))
% <-> multiply(inverse(V_4),V_4) collapsed.
% Rule [997] multiply(inverse(D),D) <-> multiply(inverse(A),A) collapsed.
% Rule
% [998]
% inverse(multiply(inverse(A),A)) <->
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(B),c3)))) collapsed.
% Rule [1000] multiply(inverse(A),multiply(inverse(c3),c3)) -> inverse(A)
% collapsed.
% Rule
% [1001]
% inverse(multiply(inverse(c3),c3)) <->
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) collapsed.
% Rule
% [1003]
% multiply(A,multiply(inverse(B),multiply(multiply(B,C),inverse(multiply(
% inverse(D),D)))))
% -> multiply(A,C) collapsed.
% Rule
% [1006]
% multiply(A,multiply(inverse(B),multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),D)))),
% inverse(C)))) -> A collapsed.
% Rule
% [1007]
% multiply(A,multiply(inverse(A),multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),D)))),
% inverse(C)))) -> B collapsed.
% Current number of equations to process: 4997
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [1016]
% multiply(inverse(A),multiply(A,inverse(multiply(c3,multiply(c3,inverse(
% multiply(c3,c3)))))))
% -> inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))
% Current number of equations to process: 4996
% Current number of ordered equations: 0
% Current number of rules: 350
% Rule [755]
% multiply(multiply(V_4,inverse(multiply(inverse(C),V_4))),D) <->
% multiply(A,multiply(multiply(inverse(A),inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% multiply(C,D))) is composed into [755]
% multiply(multiply(V_4,
% inverse(multiply(
% inverse(C),V_4))),D)
% <->
% multiply(A,multiply(
% inverse(A),
% multiply(C,D)))
% Rule [616]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(
% inverse(
% multiply(
% inverse(C),
% inverse(B))),
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))))))) is composed into
% [616]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))
% Rule [428]
% multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(A,multiply(multiply(
% inverse(A),
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% multiply(multiply(A,
% multiply(B,
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6))))),V_4))))))) is composed into
% [428]
% multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(A,multiply(inverse(A),
% multiply(multiply(A,
% multiply(B,
% multiply(V_6,
% inverse(multiply(
% inverse(C),V_6))))),V_4)))))))
% New rule produced :
% [1017]
% multiply(A,inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))) -> A
% Rule
% [1016]
% multiply(inverse(A),multiply(A,inverse(multiply(c3,multiply(c3,inverse(
% multiply(c3,c3)))))))
% -> inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) collapsed.
% Current number of equations to process: 4995
% Current number of ordered equations: 0
% Current number of rules: 350
% Rule [1014]
% inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))) <->
% inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) is composed into
% [1014]
% inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))) <->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule [1002]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) ->
% inverse(inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))) is composed into
% [1002]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) ->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule [977]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(D,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(
% multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))))))))) is composed into
% [977]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(D,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))
% Rule [975]
% multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),D))))),
% multiply(C,inverse(multiply(A,multiply(B,V_5)))))))
% -> inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) is composed into
% [975]
% multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),D))))),
% multiply(C,inverse(multiply(A,multiply(B,V_5))))))) ->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule [959]
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(
% multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(D,V_8))))) <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))))))))) is composed into
% [959]
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(D,V_8))))) <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))
% Rule [946]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))),
% multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))),D)))))))) is composed into
% [946]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))),
% multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))),D))))))))
% Rule [935]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(A))))) ->
% inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) is composed into
% [935]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(A))))) ->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule [933]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(
% inverse(V_5),
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),
% inverse(V_4)))) is composed into [933]
% multiply(A,
% multiply(
% multiply(
% inverse(B),
% multiply(B,
% multiply(C,
% inverse(
% multiply(D,C))))),
% multiply(D,
% inverse(
% multiply(V_4,A)))))
% <->
% multiply(V_5,
% multiply(V_6,
% multiply(
% multiply(
% inverse(V_6),
% multiply(
% inverse(V_5),
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% inverse(V_4))))
% Rule [932]
% multiply(V_4,multiply(multiply(inverse(V_5),multiply(V_5,multiply(V_6,
% inverse(
% multiply(V_4,V_6))))),
% multiply(V_7,inverse(multiply(D,V_7))))) <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),D)))) is composed into
% [932]
% multiply(V_4,multiply(multiply(inverse(V_5),multiply(V_5,multiply(V_6,
% inverse(multiply(V_4,V_6))))),
% multiply(V_7,inverse(multiply(D,V_7))))) <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),D))))
% Rule [929]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(
% inverse(V_5),
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),
% inverse(V_4)))) is composed into [929]
% multiply(A,
% multiply(
% multiply(
% inverse(B),
% multiply(B,
% multiply(C,
% inverse(
% multiply(A,C))))),
% multiply(D,
% inverse(
% multiply(V_4,D)))))
% <->
% multiply(V_5,
% multiply(V_6,
% multiply(
% multiply(
% inverse(V_6),
% multiply(
% inverse(V_5),
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% inverse(V_4))))
% Rule [928]
% multiply(V_4,multiply(V_5,multiply(V_6,inverse(multiply(D,multiply(V_4,
% multiply(V_5,
% multiply(V_7,
% inverse(
% multiply(
% inverse(V_6),V_7))))))))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),D)))) is composed into
% [928]
% multiply(V_4,multiply(V_5,multiply(V_6,inverse(multiply(D,multiply(V_4,
% multiply(V_5,
% multiply(V_7,
% inverse(multiply(
% inverse(V_6),V_7))))))))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),D))))
% Rule [925]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(
% inverse(V_5),
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),
% inverse(D)))) is composed into [925]
% multiply(A,
% multiply(B,
% multiply(C,
% inverse(
% multiply(D,
% multiply(A,
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <->
% multiply(V_5,
% multiply(V_6,
% multiply(
% multiply(
% inverse(V_6),
% multiply(
% inverse(V_5),
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% inverse(D))))
% Rule [892]
% multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B))))))
% -> inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) is composed into
% [892]
% multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B))))))
% -> multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule [875]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(
% inverse(D),
% inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),
% inverse(C)))) is composed into [875]
% multiply(
% inverse(A),
% multiply(A,
% multiply(B,
% inverse(multiply(C,B)))))
% <->
% multiply(D,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),
% multiply(
% inverse(D),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),
% inverse(C))))
% Rule [873]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),D)))) is composed into
% [873]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),D))))
% Rule [870]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(
% inverse(D),
% inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))),
% inverse(C)))) is composed into [870]
% multiply(A,
% multiply(B,
% multiply(
% inverse(B),
% inverse(multiply(C,A)))))
% <->
% multiply(D,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),
% multiply(
% inverse(D),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),
% inverse(C))))
% Rule [832]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) ->
% inverse(inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))) is composed into
% [832]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) ->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule [821]
% inverse(multiply(inverse(A),B)) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))),
% multiply(inverse(inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% inverse(multiply(inverse(B),A))))))) is composed into
% [821]
% inverse(multiply(inverse(A),B)) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))),
% multiply(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))),
% inverse(multiply(inverse(B),A)))))))
% Rule [789]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(
% inverse(C),B))),A))),
% multiply(inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))),
% multiply(C,inverse(V_4)))) is composed into [789]
% multiply(inverse(V_5),
% multiply(V_5,multiply(V_6,
% inverse(
% multiply(V_4,V_6)))))
% <->
% multiply(multiply(A,
% inverse(multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(C),B))),A))),
% multiply(multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))),
% multiply(C,inverse(V_4))))
% Rule [788]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))),B)))),
% multiply(C,inverse(V_4)))) is composed into [788]
% multiply(
% inverse(V_5),
% multiply(V_5,
% multiply(V_6,
% inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,
% multiply(
% multiply(
% inverse(A),
% multiply(B,
% inverse(multiply(
% multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))),B)))),
% multiply(C,
% inverse(V_4))))
% Rule [698]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(D,V_5)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))))))))) is composed into
% [698]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(D,V_5)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))
% Rule [636]
% multiply(A,multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(D,
% inverse(
% multiply(V_4,
% multiply(A,
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(
% inverse(D),V_5))))))))),V_4))))
% -> inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) is composed into
% [636]
% multiply(A,multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(D,
% inverse(
% multiply(V_4,
% multiply(A,
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(
% inverse(D),V_5))))))))),V_4))))
% -> multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule [613]
% multiply(A,multiply(V_4,multiply(inverse(V_4),inverse(multiply(inverse(C),
% inverse(B))))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3))))))))) is composed into
% [613]
% multiply(A,multiply(V_4,multiply(inverse(V_4),inverse(multiply(inverse(C),
% inverse(B)))))) <->
% multiply(A,multiply(B,multiply(C,multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))))
% Rule [579]
% inverse(multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(C,
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))),V_5))
% <->
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3))))),C))) is composed into
% [579]
% inverse(multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(C,
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))),V_5))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(c3,multiply(c3,inverse(
% multiply(c3,c3)))),C)))
% Rule [578]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),multiply(
% multiply(
% inverse(C),V_4),
% inverse(
% multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6))
% <->
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3))))),C))) is composed into
% [578]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),multiply(multiply(
% inverse(C),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(c3,multiply(c3,inverse(
% multiply(c3,c3)))),C)))
% Rule [557]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(multiply(multiply(inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% multiply(V_4,inverse(
% multiply(V_5,V_4)))),V_5),C)))) is composed into
% [557]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(multiply(multiply(multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))),
% multiply(V_4,inverse(
% multiply(V_5,V_4)))),V_5),C))))
% Rule [551]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))))))))) is composed into
% [551]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))
% Rule [547]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D)),V_4)))
% -> inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) is composed into
% [547]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D)),V_4)))
% -> multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule [516]
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(
% multiply(B,D))))),
% multiply(V_4,inverse(multiply(A,V_4)))))) ->
% inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) is composed into
% [516]
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(
% multiply(B,D))))),
% multiply(V_4,inverse(multiply(A,V_4)))))) ->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule [514]
% multiply(A,multiply(B,multiply(C,multiply(D,inverse(multiply(A,multiply(B,
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% inverse(D),V_4)))))))))))
% -> inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) is composed into
% [514]
% multiply(A,multiply(B,multiply(C,multiply(D,inverse(multiply(A,multiply(B,
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% inverse(D),V_4)))))))))))
% -> multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule [510]
% inverse(multiply(V_5,inverse(multiply(V_4,V_5)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))),V_4))) is composed into
% [510]
% inverse(multiply(V_5,inverse(multiply(V_4,V_5)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))),V_4)))
% Rule [503]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(c3,multiply(inverse(c3),multiply(
% inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))),C)))))) is composed into
% [503]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))),C))))))
% Rule [490]
% multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_5))))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3))))))))) is composed into
% [490]
% multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),V_5))))))
% <->
% multiply(A,multiply(B,multiply(C,multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))))
% Rule [480]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),V_4),inverse(
% multiply(V_5,
% multiply(C,V_4))))),V_5))
% <->
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3))))),C))) is composed into
% [480]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),V_4),inverse(
% multiply(V_5,
% multiply(C,V_4))))),V_5))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(c3,multiply(c3,inverse(
% multiply(c3,c3)))),C)))
% Rule [468]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(B,inverse(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))),D))))) is composed into
% [468]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(B,multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3))))),D)))))
% Rule [456]
% inverse(multiply(multiply(C,multiply(D,inverse(multiply(V_4,D)))),V_4))
% <->
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3))))),
% inverse(C)))) is composed into [456]
% inverse(
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4))
% <->
% multiply(
% inverse(A),
% multiply(A,
% multiply(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))),
% inverse(C))))
% Rule [450]
% inverse(multiply(D,inverse(multiply(C,D)))) <->
% multiply(inverse(A),multiply(A,multiply(inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3))))),C))) is composed into
% [450]
% inverse(multiply(D,inverse(multiply(C,D)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(c3,multiply(c3,inverse(
% multiply(c3,c3)))),C)))
% Rule [447]
% multiply(A,multiply(B,multiply(V_4,inverse(multiply(inverse(C),V_4)))))
% ->
% multiply(A,multiply(B,multiply(C,inverse(inverse(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3))))))))) is composed into
% [447]
% multiply(A,multiply(B,multiply(V_4,inverse(multiply(inverse(C),V_4))))) ->
% multiply(A,multiply(B,multiply(C,multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))))
% Rule [290]
% multiply(A,multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C))))))
% -> inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) is composed into
% [290]
% multiply(A,multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C))))))
% -> multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule [233]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(C),inverse(inverse(multiply(c3,multiply(c3,inverse(
% multiply(c3,c3))))))) is composed into
% [233]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(C),multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))
% Rule [231]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(A,V_6)))))
% <->
% inverse(multiply(A,inverse(inverse(multiply(c3,multiply(c3,inverse(
% multiply(c3,c3)))))))) is composed into
% [231]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(A,V_6)))))
% <-> inverse(multiply(A,multiply(c3,multiply(c3,inverse(multiply(c3,c3))))))
% Rule [228]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(C),inverse(inverse(multiply(c3,multiply(c3,inverse(
% multiply(c3,c3))))))) is composed into
% [228]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(C),multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))
% New rule produced :
% [1018]
% inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) <->
% multiply(A,multiply(c3,inverse(multiply(A,c3))))
% Rule
% [1017]
% multiply(A,inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))) -> A
% collapsed.
% Current number of equations to process: 4994
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [1019]
% multiply(A,multiply(c3,inverse(multiply(A,c3)))) <->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3))))
% Rule
% [999]
% multiply(inverse(B),multiply(c3,inverse(multiply(inverse(B),c3)))) <->
% inverse(inverse(multiply(A,multiply(c3,inverse(multiply(A,c3)))))) collapsed.
% Current number of equations to process: 4993
% Current number of ordered equations: 1
% Current number of rules: 350
% New rule produced :
% [1020]
% multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) <->
% multiply(A,multiply(c3,inverse(multiply(A,c3))))
% Current number of equations to process: 4993
% Current number of ordered equations: 0
% Current number of rules: 351
% Rule [946]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))),
% multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))),D)))))))) is composed into
% [946]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(B),V_4))),D)))))
% Rule [821]
% inverse(multiply(inverse(A),B)) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))),
% multiply(multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))),
% inverse(multiply(inverse(B),A))))))) is composed into
% [821]
% inverse(multiply(inverse(A),B)) <->
% inverse(multiply(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))),inverse(
% multiply(
% inverse(B),A))))
% Rule [579]
% inverse(multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(C,
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))),V_5))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(c3,multiply(c3,
% inverse(multiply(c3,c3)))),C))) is composed into
% [579]
% inverse(multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(C,
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))),V_5))
% -> C
% Rule [578]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),multiply(
% multiply(
% inverse(C),V_4),
% inverse(
% multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(c3,multiply(c3,
% inverse(multiply(c3,c3)))),C))) is composed into
% [578]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),multiply(multiply(
% inverse(C),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6))
% -> C
% Rule [480]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),V_4),inverse(
% multiply(V_5,
% multiply(C,V_4))))),V_5))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(c3,multiply(c3,
% inverse(multiply(c3,c3)))),C))) is composed into
% [480]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),V_4),inverse(
% multiply(V_5,
% multiply(C,V_4))))),V_5))
% -> C
% Rule [456]
% inverse(multiply(multiply(C,multiply(D,inverse(multiply(V_4,D)))),V_4))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(c3,multiply(c3,
% inverse(multiply(c3,c3)))),
% inverse(C)))) is composed into [456]
% inverse(
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4))
% ->
% inverse(C)
% Rule [450]
% inverse(multiply(D,inverse(multiply(C,D)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(c3,multiply(c3,
% inverse(multiply(c3,c3)))),C))) is composed into
% [450] inverse(multiply(D,inverse(multiply(C,D)))) -> C
% Rule [392]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(B,c3)))),
% inverse(V_4)))) is composed into
% [392]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% -> inverse(V_4)
% Rule [175]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(B,c3)))),
% inverse(V_4)))) is composed into
% [175]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% -> inverse(V_4)
% New rule produced :
% [1021]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(B,c3)))),V_4)))
% -> V_4
% Rule
% [1009]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,
% inverse(multiply(B,c3)))),
% inverse(C))))) -> C collapsed.
% Current number of equations to process: 4990
% Current number of ordered equations: 0
% Current number of rules: 351
% Rule [173]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(A,c3)))),
% inverse(V_4)))) is composed into [173]
% multiply(
% inverse(V_5),
% multiply(V_5,
% multiply(V_6,
% inverse(multiply(V_4,V_6)))))
% -> inverse(V_4)
% New rule produced :
% [1022]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(c3,inverse(
% multiply(B,c3)))),A)))
% -> A
% Rule
% [1012]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(
% multiply(A,c3)))),
% inverse(V_4)))) -> inverse(V_4) collapsed.
% Current number of equations to process: 4988
% Current number of ordered equations: 0
% Current number of rules: 351
% Rule [955]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(multiply(multiply(
% multiply(A,V_4),
% multiply(V_7,
% inverse(
% multiply(V_8,V_7)))),V_8),V_6))))) is composed into
% [955]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(multiply(A,V_4),V_6)))))
% Rule [779]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(multiply(inverse(
% multiply(D,V_4)),
% multiply(V_6,inverse(
% multiply(V_7,V_6)))),V_7),V_5)))) is composed into
% [779]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% <-> multiply(C,multiply(V_5,inverse(multiply(inverse(multiply(D,V_4)),V_5))))
% Rule [775]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(multiply(multiply(inverse(
% multiply(D,V_4)),
% multiply(V_6,inverse(
% multiply(V_7,V_6)))),V_7),V_5)))) is composed into
% [775]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <-> multiply(C,multiply(V_5,inverse(multiply(inverse(multiply(D,V_4)),V_5))))
% Rule [766]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(multiply(A,
% multiply(V_6,
% inverse(
% multiply(V_7,V_6)))),V_7),V_5))))) is composed into
% [766]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(A,V_5)))))
% Rule [649]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% multiply(B,multiply(D,inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),D)))))) is composed into
% [649]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% multiply(B,multiply(D,inverse(multiply(c3,multiply(inverse(c3),multiply(C,D))))))
% Rule [557]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(multiply(multiply(multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))),
% multiply(V_4,inverse(
% multiply(V_5,V_4)))),V_5),C)))) is composed into
% [557]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(multiply(c3,multiply(c3,inverse(
% multiply(c3,c3)))),C))))
% Rule [324]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,
% multiply(c3,
% inverse(
% multiply(
% inverse(V_4),c3)))),
% inverse(V_4)),D))))) is composed into
% [324]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(B,D)))))
% Rule [311]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(V_7,V_6)))),V_7),V_5))))) is composed into
% [311]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% Rule [286]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(multiply(
% multiply(A,C),
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),V_4))))) is composed into
% [286]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(A,C),V_4)))))
% Rule [284]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(A,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D))))) is composed into
% [284]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(A,D)))))
% Rule [279]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D))))) is composed into
% [279]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(B,D)))))
% New rule produced :
% [1023] multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),C) -> A
% Rule
% [200]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),B)))),
% multiply(C,inverse(V_5))))) -> V_5 collapsed.
% Rule
% [220]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(B)))) -> A collapsed.
% Rule
% [239]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),
% multiply(V_6,C))))),
% multiply(D,V_6))) -> A collapsed.
% Rule
% [278]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) collapsed.
% Rule
% [283]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(A,multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) collapsed.
% Rule
% [285]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(multiply(multiply(A,C),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6),V_4)))))
% <-> multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D))))
% collapsed.
% Rule
% [294]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(multiply(
% multiply(
% inverse(
% multiply(
% inverse(D),A)),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C))))),B))
% -> D collapsed.
% Rule
% [310]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(multiply(D,
% multiply(V_6,
% inverse(multiply(V_7,V_6)))),V_7),V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4)))) collapsed.
% Rule
% [312]
% inverse(multiply(D,multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(
% multiply(B,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),
% multiply(C,V_4))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,C))) collapsed.
% Rule
% [456]
% inverse(multiply(multiply(C,multiply(D,inverse(multiply(V_4,D)))),V_4)) ->
% inverse(C) collapsed.
% Rule
% [517]
% multiply(B,multiply(multiply(C,multiply(V_5,inverse(multiply(V_6,V_5)))),V_6))
% -> multiply(B,multiply(c3,inverse(multiply(inverse(C),c3)))) collapsed.
% Rule
% [650]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(multiply(
% multiply(
% multiply(D,
% inverse(
% multiply(V_4,D))),
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),C))))),
% multiply(B,V_4))) -> A collapsed.
% Rule
% [689]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(B,multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),D)))))
% <-> multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) collapsed.
% Rule
% [765]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(multiply(A,
% multiply(V_6,
% inverse(multiply(V_7,V_6)))),V_7),V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(V_4)))) collapsed.
% Rule
% [776]
% multiply(C,multiply(V_5,inverse(multiply(multiply(multiply(inverse(multiply(D,V_4)),
% multiply(V_6,inverse(
% multiply(V_7,V_6)))),V_7),V_5))))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% collapsed.
% Rule
% [778]
% multiply(C,multiply(V_5,inverse(multiply(multiply(multiply(inverse(multiply(D,V_4)),
% multiply(V_6,inverse(
% multiply(V_7,V_6)))),V_7),V_5))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% collapsed.
% Rule
% [856]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(inverse(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6),V_4))))),D))
% -> A collapsed.
% Rule
% [907]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(
% multiply(
% multiply(
% inverse(
% multiply(D,A)),
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C))))),B)))
% -> D collapsed.
% Rule
% [935]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(A))))) ->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) collapsed.
% Rule
% [952]
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(multiply(multiply(A,C),
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6),V_4)))))
% <-> multiply(A,multiply(inverse(B),multiply(multiply(B,C),inverse(D))))
% collapsed.
% Rule
% [954]
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(multiply(multiply(
% multiply(A,V_4),
% multiply(V_7,
% inverse(multiply(V_8,V_7)))),V_8),V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) collapsed.
% Rule
% [979]
% multiply(multiply(inverse(A),B),multiply(C,inverse(multiply(multiply(
% multiply(B,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4),C))))
% -> inverse(A) collapsed.
% Rule
% [981]
% inverse(multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5),C)))),
% multiply(D,inverse(B)))) <->
% inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))) collapsed.
% Rule
% [984]
% inverse(multiply(inverse(A),multiply(inverse(B),inverse(multiply(multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),
% inverse(multiply(B,C)))))))
% -> A collapsed.
% Rule
% [986]
% multiply(multiply(inverse(B),C),inverse(multiply(multiply(multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5),
% multiply(inverse(multiply(B,D)),C))))
% <-> inverse(inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))))
% collapsed.
% Current number of equations to process: 5010
% Current number of ordered equations: 0
% Current number of rules: 327
% Rule [947]
% multiply(A,multiply(V_5,inverse(multiply(inverse(C),V_5)))) <->
% multiply(A,multiply(c3,inverse(multiply(inverse(C),c3)))) is composed into
% [947]
% multiply(A,multiply(V_5,inverse(multiply(inverse(C),V_5)))) -> multiply(A,C)
% Rule [699]
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) <->
% multiply(A,multiply(c3,inverse(multiply(inverse(B),c3)))) is composed into
% [699]
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) -> multiply(A,B)
% Rule [552]
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) <->
% multiply(A,multiply(c3,inverse(multiply(inverse(B),c3)))) is composed into
% [552]
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) -> multiply(A,B)
% Rule [487]
% multiply(B,multiply(V_5,inverse(multiply(inverse(C),V_5)))) <->
% multiply(B,multiply(c3,inverse(multiply(inverse(C),c3)))) is composed into
% [487]
% multiply(B,multiply(V_5,inverse(multiply(inverse(C),V_5)))) -> multiply(B,C)
% New rule produced :
% [1024]
% multiply(B,multiply(c3,inverse(multiply(inverse(C),c3)))) -> multiply(B,C)
% Rule
% [640]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(c3,inverse(multiply(inverse(D),c3))))) -> A collapsed.
% Current number of equations to process: 1913
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [1025]
% multiply(multiply(inverse(A),B),multiply(C,inverse(multiply(B,C)))) ->
% inverse(A)
% Current number of equations to process: 1912
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [1026]
% inverse(multiply(C,multiply(D,inverse(multiply(B,D))))) <->
% multiply(A,multiply(inverse(A),multiply(B,inverse(C))))
% Current number of equations to process: 1909
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [1027]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(B,D)))))
% Current number of equations to process: 1909
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [1028]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),multiply(D,
% inverse(B))))
% -> A
% Current number of equations to process: 1908
% Current number of ordered equations: 0
% Current number of rules: 331
% Rule [821]
% inverse(multiply(inverse(A),B)) <->
% inverse(multiply(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))),
% inverse(multiply(inverse(B),A)))) is composed into [821]
% inverse(
% multiply(
% inverse(A),B))
% <->
% inverse(
% inverse(
% multiply(
% inverse(B),A)))
% Rule [789]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(
% inverse(C),B))),A))),
% multiply(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))),multiply(C,
% inverse(V_4)))) is composed into
% [789]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),B))),A))),
% multiply(C,inverse(V_4)))
% Rule [647]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(multiply(V_4,
% multiply(c3,
% inverse(
% multiply(V_4,c3)))),B),D))))) is composed into
% [647]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(B,D)))))
% Rule [557]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(multiply(c3,multiply(c3,inverse(
% multiply(c3,c3)))),C)))) is composed into
% [557]
% multiply(inverse(A),multiply(A,B)) <-> multiply(B,multiply(C,inverse(C)))
% Rule [510]
% inverse(multiply(V_5,inverse(multiply(V_4,V_5)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(c3,multiply(c3,inverse(multiply(c3,c3)))),V_4))) is composed into
% [510]
% inverse(multiply(V_5,inverse(multiply(V_4,V_5)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),V_4))
% Rule [503]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))),C)))))) is composed into
% [503]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(c3,multiply(inverse(c3),C)))))
% New rule produced :
% [1029] multiply(multiply(A,multiply(c3,inverse(multiply(A,c3)))),D) -> D
% Rule
% [1021]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(c3,inverse(
% multiply(B,c3)))),V_4)))
% -> V_4 collapsed.
% Current number of equations to process: 1908
% Current number of ordered equations: 0
% Current number of rules: 331
% Rule [991]
% multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))) <->
% multiply(inverse(c3),multiply(c3,inverse(inverse(multiply(A,multiply(c3,
% inverse(
% multiply(A,c3)))))))) is composed into
% [991]
% multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,inverse(multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))) <->
% inverse(inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))))
% Rule [970]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(
% multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(V_4,V_8))))) is composed into
% [970]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(multiply(V_7,inverse(multiply(V_5,V_7))),multiply(V_8,
% inverse(
% multiply(V_4,V_8)))))
% Rule [961]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(
% multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) is composed into
% [961]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(C,inverse(multiply(D,C))),multiply(D,inverse(
% multiply(V_4,A)))))
% Rule [905]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) is composed into
% [905]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(C,inverse(multiply(D,C))),multiply(D,inverse(
% multiply(V_4,A)))))
% Rule [900]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6))))) is composed into
% [900]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_6,inverse(multiply(V_4,V_6)))
% Rule [844]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(
% inverse(D),
% multiply(C,
% inverse(V_5))),V_5))))
% <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(C),B))))) is composed into
% [844]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% <-> multiply(B,inverse(multiply(inverse(C),B)))
% Rule [780]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(B,V_6))))) is composed into
% [780]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4))) <-> multiply(V_6,inverse(multiply(B,V_6)))
% Rule [774]
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(multiply(
% inverse(C),
% inverse(D))),B)))),
% multiply(D,multiply(C,inverse(multiply(V_4,A))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6))))) is composed into
% [774]
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(multiply(inverse(C),
% inverse(D))),B)))),
% multiply(D,multiply(C,inverse(multiply(V_4,A))))) <->
% multiply(V_6,inverse(multiply(V_4,V_6)))
% Rule [771]
% multiply(multiply(A,multiply(C,inverse(multiply(D,C)))),multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),
% multiply(V_5,
% multiply(
% inverse(V_5),D))),
% inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B)))) is composed into
% [771]
% multiply(multiply(A,multiply(C,inverse(multiply(D,C)))),multiply(V_4,
% multiply(multiply(
% inverse(V_4),
% multiply(V_5,
% multiply(
% inverse(V_5),D))),
% inverse(B)))) ->
% multiply(A,inverse(B))
% Rule [735]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(multiply(
% inverse(A),V_6))),V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(V_4)))) is composed into [735]
% inverse(multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(
% multiply(V_6,
% inverse(
% multiply(
% inverse(A),V_6))),V_5)))))
% <->
% multiply(A,
% multiply(
% multiply(C,
% inverse(multiply(D,C))),
% multiply(D,
% inverse(V_4))))
% Rule [732]
% multiply(V_4,multiply(V_5,multiply(inverse(V_5),inverse(multiply(
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_4)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D)))) is composed into [732]
% multiply(V_4,
% multiply(V_5,
% multiply(
% inverse(V_5),
% inverse(
% multiply(
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_4)))))
% <->
% multiply(
% multiply(B,
% multiply(
% inverse(B),C)),
% inverse(D))
% Rule [729]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(c3),V_4)))),A)
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6))))) is composed into
% [729]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(c3),V_4)))),A) <->
% multiply(V_6,inverse(multiply(V_4,V_6)))
% Rule [723]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),C)),
% inverse(D)))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_5))))) is composed into
% [723]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),C)),
% inverse(D)))) <->
% multiply(V_5,inverse(multiply(multiply(D,multiply(V_6,inverse(multiply(C,V_6)))),V_5)))
% Rule [695]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,V_4)))),D)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(V_5,multiply(
% inverse(V_5),
% inverse(multiply(
% inverse(C),
% inverse(A))))),
% inverse(V_4)))) is composed into
% [695]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,V_4)))),D)))
% <->
% multiply(multiply(V_5,multiply(inverse(V_5),inverse(multiply(inverse(C),
% inverse(A))))),inverse(V_4))
% Rule [693]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(D))),V_4)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(C,inverse(multiply(V_5,
% multiply(inverse(V_5),
% inverse(multiply(
% inverse(D),V_4)))))))) is composed into
% [693]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(D))),V_4))) <->
% multiply(C,inverse(multiply(V_5,multiply(inverse(V_5),inverse(multiply(
% inverse(D),V_4))))))
% Rule [663]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(multiply(D,V_4),inverse(multiply(V_5,multiply(A,V_4))))))
% <->
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(V_5,V_7))))) is composed into
% [663]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(multiply(D,V_4),inverse(multiply(V_5,multiply(A,V_4))))))
% <-> multiply(V_7,inverse(multiply(V_5,V_7)))
% Rule [656]
% multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(
% multiply(V_7,
% inverse(
% multiply(
% inverse(D),V_7))),
% multiply(
% inverse(V_4),V_6)))))
% <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(multiply(
% inverse(C),
% multiply(C,
% multiply(D,
% inverse(V_4)))),A))))) is composed into
% [656]
% multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(multiply(V_7,
% inverse(
% multiply(
% inverse(D),V_7))),
% multiply(inverse(V_4),V_6)))))
% <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(multiply(D,
% inverse(V_4)),A)))))
% Rule [611]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6))))) is composed into
% [611]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_6,inverse(multiply(V_4,V_6)))
% Rule [510]
% inverse(multiply(V_5,inverse(multiply(V_4,V_5)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),V_4)) is composed into
% [510]
% inverse(multiply(V_5,inverse(multiply(V_4,V_5)))) <->
% multiply(A,multiply(multiply(C,inverse(multiply(A,C))),V_4))
% Rule [458]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),C),inverse(B))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(A,multiply(c3,
% inverse(
% multiply(A,c3))))),
% inverse(B)))) is composed into
% [458]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),C),inverse(B))))
% <->
% multiply(inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))),inverse(B))
% Rule [423]
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),
% multiply(V_4,multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D)))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(B,
% multiply(inverse(B),
% inverse(multiply(C,A))))),
% inverse(D)))) is composed into
% [423]
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D)))) <->
% multiply(multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))),
% inverse(D))
% Rule [421]
% multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_6,
% multiply(
% inverse(V_6),
% inverse(multiply(D,A))))),
% inverse(V_4)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(
% multiply(D,C))))),
% inverse(V_4)))) is composed into
% [421]
% multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_6,multiply(
% inverse(V_6),
% inverse(
% multiply(D,A))))),
% inverse(V_4)))) <->
% multiply(multiply(C,inverse(multiply(D,C))),inverse(V_4))
% Rule [412]
% multiply(inverse(A),multiply(V_5,multiply(multiply(inverse(V_5),
% multiply(A,multiply(multiply(A,C),
% inverse(D)))),
% inverse(V_4)))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(B,
% multiply(multiply(
% inverse(B),C),
% inverse(D)))),
% inverse(V_4)))) is composed into
% [412]
% multiply(inverse(A),multiply(V_5,multiply(multiply(inverse(V_5),multiply(A,
% multiply(
% multiply(A,C),
% inverse(D)))),
% inverse(V_4)))) <->
% multiply(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))),
% inverse(V_4))
% Rule [410]
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),
% multiply(V_4,multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D)))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(A),multiply(A,
% multiply(B,
% inverse(
% multiply(C,B))))),
% inverse(D)))) is composed into
% [410]
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D)))) <->
% multiply(multiply(B,inverse(multiply(C,B))),inverse(D))
% Rule [379]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) is composed into
% [379]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(C,inverse(multiply(A,C))),multiply(D,inverse(
% multiply(V_4,D)))))
% Rule [360]
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,C)))),
% multiply(D,multiply(inverse(D),B))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5))))) is composed into
% [360]
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,C)))),multiply(D,
% multiply(
% inverse(D),B)))
% <-> multiply(V_5,inverse(multiply(C,V_5)))
% Rule [357]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(C,D)))),C)))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5))))) is composed into
% [357]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(C,D)))),C)))
% <-> multiply(V_5,inverse(multiply(D,V_5)))
% Rule [344]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% inverse(A),V_4))))),
% inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B)))) is composed into
% [344]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(V_4,
% inverse(multiply(
% inverse(A),V_4))))),
% inverse(B)))) -> multiply(A,inverse(B))
% Rule [342]
% multiply(A,multiply(D,multiply(multiply(inverse(D),multiply(V_4,
% multiply(inverse(V_4),
% inverse(multiply(
% inverse(B),A))))),
% inverse(C)))) ->
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) is composed into
% [342]
% multiply(A,multiply(D,multiply(multiply(inverse(D),multiply(V_4,multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(B),A))))),
% inverse(C)))) -> multiply(B,inverse(C))
% Rule [337]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),D))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(A,C),D))) is composed into
% [337]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),D))) <->
% multiply(multiply(A,C),D)
% Rule [335]
% inverse(multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(
% multiply(
% multiply(V_7,
% inverse(
% multiply(D,V_7))),
% multiply(V_4,V_6))))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(
% multiply(D,C))))),V_4))) is composed into
% [335]
% inverse(multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(
% multiply(V_7,
% inverse(
% multiply(D,V_7))),
% multiply(V_4,V_6))))))
% <-> multiply(multiply(C,inverse(multiply(D,C))),V_4)
% Rule [321]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(multiply(
% inverse(D),V_6))),V_5)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(D,inverse(V_4)))) is composed into
% [321]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(D),V_6))),V_5)))))
% <-> multiply(D,inverse(V_4))
% Rule [299]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% multiply(inverse(D),multiply(D,multiply(A,inverse(C)))) is composed into
% [299]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) ->
% multiply(A,inverse(C))
% Rule [295]
% inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B))))))
% <-> multiply(inverse(V_5),multiply(V_5,multiply(D,V_4))) is composed into
% [295]
% inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B))))))
% -> multiply(D,V_4)
% Rule [287]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(multiply(D,V_6))),V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(
% multiply(D,C))))),
% inverse(V_4)))) is composed into
% [287]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(D,V_6))),V_5)))))
% <-> multiply(multiply(C,inverse(multiply(D,C))),inverse(V_4))
% Rule [271]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,
% inverse(multiply(
% inverse(D),V_6))),V_5)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4)))) is composed into [271]
% inverse(multiply(V_4,
% multiply(V_5,
% inverse(
% multiply(
% multiply(V_6,
% inverse(
% multiply(
% inverse(D),V_6))),V_5)))))
% <->
% multiply(A,
% multiply(
% multiply(C,
% inverse(multiply(A,C))),
% multiply(D,
% inverse(V_4))))
% Rule [261]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(B),V_4))),D)))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) is composed into
% [261]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(B),V_4))),D)))))
% <-> multiply(B,inverse(C))
% Rule [176]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6))))) is composed into
% [176]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4)))) <->
% multiply(V_6,inverse(multiply(V_4,V_6)))
% Rule [143]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(
% multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) is composed into
% [143]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(C,inverse(multiply(A,C))),multiply(D,inverse(
% multiply(V_4,D)))))
% Rule [134]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6))))) is composed into
% [134]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))))
% <-> multiply(V_6,inverse(multiply(D,V_6)))
% Rule [103]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) is composed into
% [103]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(V_4,inverse(multiply(C,V_4)))
% Rule [33]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6))))) is composed into
% [33]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <-> multiply(V_6,inverse(multiply(D,V_6)))
% Rule [19]
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(
% multiply(C,
% multiply(D,V_5))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) is composed into
% [19]
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(multiply(C,
% multiply(D,V_5))))))
% <-> multiply(B,inverse(multiply(C,B)))
% New rule produced : [1030] multiply(inverse(A),multiply(A,V_4)) -> V_4
% Rule
% [18]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(C),B)))))
% -> C collapsed.
% Rule
% [34]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% collapsed.
% Rule
% [39]
% inverse(multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))))
% -> C collapsed.
% Rule
% [41]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(B,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D)))
% -> V_4 collapsed.
% Rule
% [50]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(D,inverse(multiply(V_4,D)))))
% collapsed.
% Rule
% [53]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% collapsed.
% Rule
% [81]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(inverse(V_4),D))))) -> V_4 collapsed.
% Rule
% [82]
% inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D)))))) -> V_4 collapsed.
% Rule
% [85]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D))))
% -> V_4 collapsed.
% Rule
% [92]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> B collapsed.
% Rule
% [99]
% multiply(inverse(A),multiply(A,multiply(multiply(A,C),inverse(D)))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D))))
% collapsed.
% Rule
% [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% -> inverse(V_4) collapsed.
% Rule
% [104]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% collapsed.
% Rule
% [114]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(multiply(V_5,multiply(A,V_4))))))
% <->
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(V_5,V_7)))))
% collapsed.
% Rule
% [118]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),D)))
% -> B collapsed.
% Rule
% [120]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(V_6,
% inverse(
% multiply(
% inverse(D),V_6))))))))),V_4)),V_5)))
% -> B collapsed.
% Rule
% [132]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Rule
% [133]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) collapsed.
% Rule
% [136]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))))
% collapsed.
% Rule
% [137]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(A),multiply(A,multiply(D,inverse(multiply(V_4,D)))))
% collapsed.
% Rule
% [142]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% collapsed.
% Rule
% [152]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(inverse(V_4),A))))) -> V_4 collapsed.
% Rule
% [173]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% -> inverse(V_4) collapsed.
% Rule
% [175]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% -> inverse(V_4) collapsed.
% Rule
% [177]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4)))) collapsed.
% Rule
% [215]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Rule
% [231]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(A,V_6)))))
% <-> inverse(multiply(A,multiply(c3,multiply(c3,inverse(multiply(c3,c3))))))
% collapsed.
% Rule
% [233]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(C),multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))
% collapsed.
% Rule
% [237]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),
% inverse(multiply(C,D)))),C)))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% collapsed.
% Rule
% [242]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(B),
% multiply(C,inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(V_5))),V_5))))
% -> B collapsed.
% Rule
% [250]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),
% inverse(C)))) -> B collapsed.
% Rule
% [262]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(B),V_4))),D)))))
% collapsed.
% Rule
% [267]
% multiply(inverse(A),multiply(A,multiply(B,C))) <->
% multiply(B,multiply(c3,multiply(inverse(c3),C))) collapsed.
% Rule
% [272]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(D),V_6))),V_5)))))
% collapsed.
% Rule
% [274]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,V_4)))),D)))
% <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(C),V_6))),V_5)))))
% collapsed.
% Rule
% [279]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(B,D))))) collapsed.
% Rule
% [288]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(multiply(D,C))))),
% inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(D,V_6))),V_5)))))
% collapsed.
% Rule
% [289]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(D,V_4)))),D)),V_4)))
% -> B collapsed.
% Rule
% [290]
% multiply(A,multiply(inverse(B),multiply(B,multiply(C,inverse(multiply(A,C))))))
% -> multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) collapsed.
% Rule
% [296]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(B,inverse(C)))) collapsed.
% Rule
% [297]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% -> inverse(V_4) collapsed.
% Rule
% [300]
% multiply(inverse(D),multiply(D,multiply(A,inverse(C)))) <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) collapsed.
% Rule
% [301]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3)))))
% collapsed.
% Rule
% [302]
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(B,C)))),B) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% collapsed.
% Rule
% [303]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(inverse(multiply(
% inverse(C),A)),
% inverse(D)))),D)) -> C
% collapsed.
% Rule
% [304]
% multiply(inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4))))),D) -> V_4 collapsed.
% Rule
% [305]
% multiply(inverse(V_4),multiply(V_4,multiply(multiply(A,multiply(B,multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))),
% inverse(D)))) ->
% multiply(A,multiply(B,multiply(C,inverse(D)))) collapsed.
% Rule
% [306]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3)))))
% collapsed.
% Rule
% [308]
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(V_4)))),
% inverse(multiply(inverse(V_5),multiply(A,multiply(B,
% multiply(D,
% inverse(V_4)))))))))
% -> V_5 collapsed.
% Rule
% [311]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(D,V_5))))) collapsed.
% Rule
% [313]
% multiply(inverse(A),multiply(A,multiply(B,C))) <->
% multiply(inverse(c3),multiply(c3,multiply(B,C))) collapsed.
% Rule
% [314]
% multiply(inverse(c3),multiply(c3,multiply(B,C))) <->
% multiply(inverse(A),multiply(A,multiply(B,C))) collapsed.
% Rule
% [315]
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(
% multiply(V_4,D))))),
% inverse(V_5)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(A,multiply(B,multiply(V_6,
% inverse(
% multiply(V_4,V_6))))),
% inverse(V_5)))) collapsed.
% Rule
% [316]
% multiply(inverse(A),multiply(A,multiply(multiply(A,multiply(B,multiply(V_6,
% inverse(
% multiply(V_4,V_6))))),
% inverse(V_5)))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(
% multiply(V_4,D))))),
% inverse(V_5)))) collapsed.
% Rule
% [324]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(B,D))))) collapsed.
% Rule
% [328]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(
% inverse(A),
% multiply(A,
% multiply(
% multiply(A,V_4),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_4)))))))))))
% -> D collapsed.
% Rule
% [332]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,D)),
% inverse(V_4))),V_4))) <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(V_7,
% inverse(
% multiply(D,V_7))),V_5))))))
% collapsed.
% Rule
% [334]
% multiply(inverse(A),multiply(A,multiply(B,C))) <->
% multiply(B,multiply(c3,multiply(inverse(c3),C))) collapsed.
% Rule
% [336]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(multiply(D,C))))),V_4)))
% <->
% inverse(multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(
% multiply(V_7,
% inverse(
% multiply(D,V_7))),
% multiply(V_4,V_6))))))
% collapsed.
% Rule
% [338]
% multiply(inverse(A),multiply(A,multiply(multiply(A,multiply(V_4,multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))),
% inverse(D)))) ->
% multiply(A,multiply(B,multiply(C,inverse(D)))) collapsed.
% Rule
% [339]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(A,V_4),inverse(V_5))))
% collapsed.
% Rule
% [340]
% multiply(inverse(A),multiply(A,multiply(multiply(A,V_4),inverse(V_5)))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) collapsed.
% Rule
% [341]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(B,C),
% inverse(D))),inverse(
% multiply(B,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),C),
% inverse(D))))))))
% -> B collapsed.
% Rule
% [359]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(C,V_5)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3)))))
% collapsed.
% Rule
% [368]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% collapsed.
% Rule
% [369]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) collapsed.
% Rule
% [370]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(D,c3)))))
% collapsed.
% Rule
% [374]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(multiply(V_4,V_5)))),V_4)),V_5)),
% inverse(C)))) -> B collapsed.
% Rule
% [375]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(multiply(V_4,V_5)))),V_4)),V_5)),D)))
% -> B collapsed.
% Rule
% [378]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% collapsed.
% Rule
% [386]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(inverse(D),inverse(multiply(V_4,
% inverse(V_5))))),V_4)))
% -> V_5 collapsed.
% Rule
% [387]
% inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(multiply(A,C))))),
% multiply(multiply(D,multiply(inverse(D),inverse(multiply(V_4,V_5)))),V_4))))
% -> V_5 collapsed.
% Rule
% [407]
% multiply(A,multiply(inverse(multiply(inverse(B),multiply(B,multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% inverse(V_4))))),
% multiply(D,inverse(multiply(inverse(V_5),multiply(A,V_4)))))) ->
% V_5 collapsed.
% Rule
% [408]
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(
% multiply(
% inverse(D),C)))),
% inverse(V_4))))),multiply(B,
% multiply(D,
% inverse(
% multiply(
% inverse(V_5),V_4)))))
% -> V_5 collapsed.
% Rule
% [409]
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(multiply(
% inverse(A),B),
% inverse(C))),inverse(
% multiply(
% inverse(c3),
% multiply(c3,
% multiply(
% multiply(
% inverse(D),B),
% inverse(C))))))))
% -> D collapsed.
% Rule
% [411]
% multiply(inverse(c3),multiply(c3,multiply(multiply(inverse(A),multiply(A,
% multiply(B,
% inverse(
% multiply(C,B))))),
% inverse(D)))) <->
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D)))) collapsed.
% Rule
% [413]
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(D)))),
% inverse(V_4)))) <->
% multiply(inverse(A),multiply(V_5,multiply(multiply(inverse(V_5),multiply(A,
% multiply(
% multiply(A,C),
% inverse(D)))),
% inverse(V_4)))) collapsed.
% Rule
% [422]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(multiply(D,C))))),
% inverse(V_4)))) <->
% multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_6,multiply(
% inverse(V_6),
% inverse(
% multiply(D,A))))),
% inverse(V_4)))) collapsed.
% Rule
% [424]
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,multiply(B,multiply(
% inverse(B),
% inverse(
% multiply(C,A))))),
% inverse(D)))) <->
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D)))) collapsed.
% Rule
% [433]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(c3,multiply(inverse(c3),
% multiply(multiply(A,V_4),V_6)))))))
% collapsed.
% Rule
% [468]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(B,multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3))))),D)))))
% collapsed.
% Rule
% [503]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(B,multiply(C,inverse(multiply(c3,multiply(inverse(c3),C)))))
% collapsed.
% Rule
% [516]
% multiply(A,multiply(B,multiply(multiply(inverse(C),multiply(C,multiply(D,
% inverse(
% multiply(B,D))))),
% multiply(V_4,inverse(multiply(A,V_4)))))) ->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) collapsed.
% Rule
% [551]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))
% collapsed.
% Rule
% [557]
% multiply(inverse(A),multiply(A,B)) <-> multiply(B,multiply(C,inverse(C)))
% collapsed.
% Rule
% [593]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(D,c3)))))
% collapsed.
% Rule
% [612]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) collapsed.
% Rule
% [616]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))
% collapsed.
% Rule
% [635]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(V_5,
% multiply(
% inverse(V_5),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))),D)))
% -> V_4 collapsed.
% Rule
% [636]
% multiply(A,multiply(inverse(B),multiply(B,multiply(multiply(C,multiply(D,
% inverse(
% multiply(V_4,
% multiply(A,
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(
% inverse(D),V_5))))))))),V_4))))
% -> multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) collapsed.
% Rule
% [639]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(V_5,D)),inverse(
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,V_5)))),V_4)))))
% -> C collapsed.
% Rule
% [644]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3)))))
% collapsed.
% Rule
% [647]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(B,D))))) collapsed.
% Rule
% [649]
% multiply(inverse(A),multiply(A,multiply(B,inverse(C)))) <->
% multiply(B,multiply(D,inverse(multiply(c3,multiply(inverse(c3),multiply(C,D))))))
% collapsed.
% Rule
% [652]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,V_4))) <->
% multiply(D,multiply(c3,multiply(inverse(c3),V_4))) collapsed.
% Rule
% [655]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(multiply(inverse(C),
% multiply(C,
% multiply(D,
% inverse(V_4)))),A)))))
% <->
% multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(multiply(V_7,
% inverse(
% multiply(
% inverse(D),V_7))),
% multiply(inverse(V_4),V_6)))))
% collapsed.
% Rule
% [661]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(multiply(V_4,multiply(inverse(V_4),
% inverse(multiply(V_5,V_6)))),V_5)),V_6)))
% -> D collapsed.
% Rule
% [684]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(D,c3)))))
% collapsed.
% Rule
% [694]
% multiply(inverse(c3),multiply(c3,multiply(C,inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(
% multiply(
% inverse(
% multiply(D,V_4)),D))))))))
% -> multiply(inverse(c3),multiply(c3,multiply(C,inverse(V_4)))) collapsed.
% Rule
% [696]
% multiply(inverse(c3),multiply(c3,multiply(multiply(V_5,multiply(inverse(V_5),
% inverse(multiply(
% inverse(C),
% inverse(A))))),
% inverse(V_4)))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,V_4)))),D)))
% collapsed.
% Rule
% [719]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(multiply(
% inverse(D),
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4))))),
% multiply(V_5,C))) ->
% A collapsed.
% Rule
% [721]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D)))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_5)))))
% collapsed.
% Rule
% [722]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_5)))))
% <->
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D)))) collapsed.
% Rule
% [724]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_5)))))
% <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),C)),
% inverse(D)))) collapsed.
% Rule
% [728]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(V_4,c3)))))
% collapsed.
% Rule
% [733]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(inverse(B),C)),
% inverse(D)))) <->
% multiply(V_4,multiply(V_5,multiply(inverse(V_5),inverse(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_4)))))
% collapsed.
% Rule
% [736]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(A),V_6))),V_5)))))
% collapsed.
% Rule
% [745]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(inverse(c3),multiply(
% inverse(
% multiply(D,V_4)),V_5))))))
% collapsed.
% Rule
% [749]
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,inverse(C))))),
% multiply(multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(V_5,V_4))))),
% multiply(V_5,B))) -> C collapsed.
% Rule
% [751]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(C,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(C,c3)))))
% collapsed.
% Rule
% [766]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(V_4)))) <->
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(A,V_5))))) collapsed.
% Rule
% [773]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(multiply(inverse(C),
% inverse(D))),B)))),
% multiply(D,multiply(C,inverse(multiply(V_4,A))))) collapsed.
% Rule
% [779]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),D)),V_4)))
% <-> multiply(C,multiply(V_5,inverse(multiply(inverse(multiply(D,V_4)),V_5))))
% collapsed.
% Rule
% [788]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))),B)))),
% multiply(C,inverse(V_4)))) collapsed.
% Rule
% [789]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(multiply(inverse(C),B))),A))),
% multiply(C,inverse(V_4))) collapsed.
% Rule
% [794]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(C,
% inverse(D))),
% multiply(D,multiply(V_4,inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),V_4))))))))
% -> B collapsed.
% Rule
% [797]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(inverse(B),
% multiply(B,multiply(C,
% inverse(multiply(D,C))))),
% multiply(D,inverse(multiply(inverse(V_4),
% inverse(V_5))))),
% inverse(V_4)))) -> V_5 collapsed.
% Rule
% [819]
% inverse(multiply(inverse(A),multiply(A,multiply(B,C)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(B,C)))) collapsed.
% Rule
% [855]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(multiply(V_4,D)))),B)))),
% multiply(C,multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))))
% -> A collapsed.
% Rule
% [865]
% inverse(multiply(inverse(A),multiply(A,B))) <->
% inverse(multiply(inverse(c3),multiply(c3,B))) collapsed.
% Rule
% [873]
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),D))))
% collapsed.
% Rule
% [875]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(inverse(D),
% multiply(c3,multiply(c3,
% inverse(
% multiply(c3,c3)))))),
% inverse(C)))) collapsed.
% Rule
% [894]
% inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A)))))) -> V_4 collapsed.
% Rule
% [901]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A))))) collapsed.
% Rule
% [904]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% collapsed.
% Rule
% [917]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(B,V_6)))))
% <-> multiply(inverse(c3),multiply(c3,multiply(c3,inverse(multiply(B,c3)))))
% collapsed.
% Rule
% [929]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),
% inverse(V_4)))) collapsed.
% Rule
% [932]
% multiply(V_4,multiply(multiply(inverse(V_5),multiply(V_5,multiply(V_6,
% inverse(multiply(V_4,V_6))))),
% multiply(V_7,inverse(multiply(D,V_7))))) <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),D))))
% collapsed.
% Rule
% [933]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),
% inverse(V_4)))) collapsed.
% Rule
% [950]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(V_4,V_8))))) collapsed.
% Rule
% [955]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(V_5)))) <->
% inverse(multiply(V_5,multiply(V_6,inverse(multiply(multiply(A,V_4),V_6)))))
% collapsed.
% Rule
% [959]
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(D,V_8))))) <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))
% collapsed.
% Rule
% [960]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% collapsed.
% Rule
% [962]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(V_4,V_8))))) collapsed.
% Rule
% [963]
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(V_4,V_8))))) <->
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(D,inverse(multiply(V_4,A))))) collapsed.
% Rule
% [964]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(D))),V_4))))
% <->
% multiply(inverse(V_4),multiply(D,inverse(multiply(multiply(V_5,inverse(
% multiply(
% inverse(B),V_5))),
% multiply(V_6,inverse(multiply(
% inverse(C),V_6)))))))
% collapsed.
% Rule
% [971]
% multiply(V_5,multiply(multiply(inverse(V_6),multiply(V_6,multiply(V_7,
% inverse(multiply(V_5,V_7))))),
% multiply(V_8,inverse(multiply(V_4,V_8))))) <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) collapsed.
% Rule
% [1005]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),multiply(B,
% inverse(multiply(C,
% inverse(D))))),C)))
% -> D collapsed.
% Current number of equations to process: 2019
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [1031] multiply(B,multiply(C,inverse(C))) -> B
% Current number of equations to process: 2018
% Current number of ordered equations: 0
% Current number of rules: 195
% Rule [1027]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(B,D))))) is composed into
% [1027]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(C,inverse(B)))
% Rule [1015]
% multiply(inverse(D),D) <->
% inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))) is composed into
% [1015] multiply(inverse(D),D) <-> inverse(multiply(A,inverse(A)))
% Rule [1002]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) ->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) is composed into
% [1002]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) ->
% multiply(c3,inverse(c3))
% Rule [972]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(
% multiply(
% inverse(V_7),V_8)))))))))) is composed into
% [972]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% inverse(inverse(V_7)))))))))
% Rule [946]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(B),V_4))),D))))) is composed into
% [946]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(C,inverse(inverse(inverse(B)))))
% Rule [905]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(C,inverse(multiply(D,C))),multiply(D,
% inverse(multiply(V_4,A))))) is composed into
% [905]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <-> multiply(A,multiply(inverse(D),multiply(D,inverse(multiply(V_4,A)))))
% Rule [903]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) is composed into
% [903]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% inverse(V_4)))
% Rule [900]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_6,inverse(multiply(V_4,V_6))) is composed into [900]
% multiply(A,
% multiply(
% multiply(B,
% multiply(C,
% multiply(
% inverse(C),
% inverse(
% multiply(D,B))))),
% multiply(D,
% inverse(
% multiply(V_4,A)))))
% ->
% inverse(V_4)
% Rule [892]
% multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B))))))
% -> multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) is composed into
% [892]
% multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B))))))
% -> multiply(c3,inverse(c3))
% Rule [870]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(
% inverse(D),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),
% inverse(C)))) is composed into [870]
% multiply(A,
% multiply(B,
% multiply(
% inverse(B),
% inverse(multiply(C,A)))))
% <->
% multiply(D,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),
% multiply(
% inverse(D),
% multiply(c3,
% inverse(c3)))),
% inverse(C))))
% Rule [863]
% multiply(multiply(A,multiply(B,inverse(multiply(C,D)))),multiply(V_4,
% multiply(
% inverse(V_4),C)))
% <->
% multiply(A,multiply(B,inverse(multiply(multiply(V_5,inverse(multiply(
% inverse(V_6),V_5))),
% inverse(multiply(inverse(D),V_6)))))) is composed into
% [863]
% multiply(multiply(A,multiply(B,inverse(multiply(C,D)))),multiply(V_4,
% multiply(inverse(V_4),C)))
% <->
% multiply(A,multiply(B,inverse(multiply(inverse(inverse(V_6)),inverse(
% multiply(
% inverse(D),V_6))))))
% Rule [847]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),multiply(multiply(
% inverse(V_5),
% multiply(V_4,
% inverse(V_7))),V_7))))
% <->
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,V_4))) is composed into [847]
% multiply(V_5,multiply(V_6,
% multiply(
% inverse(V_6),
% multiply(
% multiply(
% inverse(V_5),
% multiply(V_4,
% inverse(V_7))),V_7))))
% <->
% multiply(A,multiply(
% multiply(
% inverse(A),
% inverse(
% inverse(
% inverse(D)))),
% multiply(D,V_4)))
% Rule [844]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(
% inverse(D),
% multiply(C,
% inverse(V_5))),V_5))))
% <-> multiply(B,inverse(multiply(inverse(C),B))) is composed into
% [844]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% -> inverse(inverse(C))
% Rule [832]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) ->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) is composed into
% [832]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) ->
% multiply(c3,inverse(c3))
% Rule [813]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(multiply(inverse(D),multiply(V_4,inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),V_4)))),
% multiply(V_6,inverse(C)))) is composed into [813]
% multiply(A,
% multiply(B,
% multiply(
% inverse(B),
% inverse(multiply(C,A)))))
% <->
% multiply(D,
% multiply(
% multiply(
% inverse(D),
% inverse(inverse(
% inverse(V_6)))),
% multiply(V_6,
% inverse(C))))
% Rule [782]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,D))) <->
% multiply(B,multiply(V_4,inverse(multiply(c3,multiply(inverse(c3),
% multiply(inverse(multiply(
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6))),D)),V_4)))))) is composed into
% [782]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,D))) <->
% multiply(B,multiply(V_4,inverse(multiply(c3,multiply(inverse(c3),multiply(
% inverse(
% multiply(
% inverse(
% inverse(C)),D)),V_4))))))
% Rule [775]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(inverse(multiply(D,V_4)),V_5)))) is composed into
% [775]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% -> multiply(C,inverse(inverse(multiply(D,V_4))))
% Rule [729]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(c3),V_4)))),A)
% <-> multiply(V_6,inverse(multiply(V_4,V_6))) is composed into [729]
% multiply(
% inverse(
% multiply(A,
% multiply(c3,
% multiply(
% inverse(c3),V_4)))),A)
% ->
% inverse(V_4)
% Rule [723]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),C)),
% inverse(D)))) <->
% multiply(V_5,inverse(multiply(multiply(D,multiply(V_6,inverse(multiply(C,V_6)))),V_5))) is composed into
% [723]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),C)),
% inverse(D)))) <-> inverse(multiply(D,inverse(C)))
% Rule [698]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(D,V_5)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3)))))))))))) is composed into
% [698]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(D,V_5)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% multiply(c3,
% inverse(c3))))))))))
% Rule [663]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(multiply(D,V_4),inverse(multiply(V_5,multiply(A,V_4))))))
% <-> multiply(V_7,inverse(multiply(V_5,V_7))) is composed into [663]
% multiply(A,
% multiply(
% multiply(B,
% multiply(C,
% multiply(
% inverse(C),
% inverse(
% multiply(D,B))))),
% multiply(
% multiply(D,V_4),
% inverse(
% multiply(V_5,
% multiply(A,V_4))))))
% ->
% inverse(V_5)
% Rule [613]
% multiply(A,multiply(V_4,multiply(inverse(V_4),inverse(multiply(inverse(C),
% inverse(B))))))
% <->
% multiply(A,multiply(B,multiply(C,multiply(c3,multiply(c3,inverse(
% multiply(c3,c3))))))) is composed into
% [613]
% multiply(A,multiply(V_4,multiply(inverse(V_4),inverse(multiply(inverse(C),
% inverse(B)))))) <->
% multiply(A,multiply(B,multiply(C,multiply(c3,inverse(c3)))))
% Rule [547]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D)),V_4)))
% -> multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) is composed into
% [547]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D)),V_4)))
% -> multiply(c3,inverse(c3))
% Rule [490]
% multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_5))))))
% <->
% multiply(A,multiply(B,multiply(C,multiply(c3,multiply(c3,inverse(
% multiply(c3,c3))))))) is composed into
% [490]
% multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),V_5))))))
% <-> multiply(A,multiply(B,multiply(C,multiply(c3,inverse(c3)))))
% Rule [458]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),C),inverse(B))))
% <->
% multiply(inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))),
% inverse(B)) is composed into [458]
% multiply(inverse(C),multiply(D,multiply(
% multiply(
% inverse(D),C),
% inverse(B))))
% <->
% multiply(inverse(multiply(A,inverse(A))),
% inverse(B))
% Rule [428]
% multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(A,multiply(inverse(A),
% multiply(multiply(A,
% multiply(B,
% multiply(V_6,
% inverse(
% multiply(
% inverse(C),V_6))))),V_4))))))) is composed into
% [428]
% multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(A,multiply(inverse(A),
% multiply(multiply(A,
% multiply(B,
% inverse(inverse(C)))),V_4)))))))
% Rule [421]
% multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_6,
% multiply(
% inverse(V_6),
% inverse(multiply(D,A))))),
% inverse(V_4)))) <->
% multiply(multiply(C,inverse(multiply(D,C))),inverse(V_4)) is composed into
% [421]
% multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_6,multiply(
% inverse(V_6),
% inverse(
% multiply(D,A))))),
% inverse(V_4)))) -> multiply(inverse(D),inverse(V_4))
% Rule [379]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(C,inverse(multiply(A,C))),multiply(D,
% inverse(multiply(V_4,D))))) is composed into
% [379]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <-> multiply(A,multiply(inverse(A),inverse(V_4)))
% Rule [360]
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,C)))),
% multiply(D,multiply(inverse(D),B))) <->
% multiply(V_5,inverse(multiply(C,V_5))) is composed into [360]
% multiply(
% multiply(A,
% multiply(
% inverse(A),
% inverse(
% multiply(B,C)))),
% multiply(D,
% multiply(
% inverse(D),B)))
% -> inverse(C)
% Rule [357]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(C,D)))),C)))
% <-> multiply(V_5,inverse(multiply(D,V_5))) is composed into [357]
% multiply(A,
% multiply(B,
% multiply(
% multiply(
% inverse(B),
% multiply(
% inverse(A),
% inverse(
% multiply(C,D)))),C)))
% ->
% inverse(D)
% Rule [286]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(A,C),V_4))))) is composed into
% [286]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,inverse(multiply(A,C))))
% Rule [284]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(A,D))))) is composed into
% [284]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% inverse(multiply(C,inverse(A)))
% Rule [260]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(A),V_4))),D))))) is composed into
% [260]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% inverse(multiply(C,inverse(inverse(inverse(A)))))
% Rule [228]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(C),multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) is composed into
% [228]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(C),multiply(c3,inverse(c3)))
% Rule [148]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,
% multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_5),V_6)))))))))) is composed into
% [148]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% inverse(
% inverse(V_5)))))))))
% Rule [134]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))))
% <-> multiply(V_6,inverse(multiply(D,V_6))) is composed into [134]
% multiply(A,
% multiply(B,
% multiply(C,
% inverse(
% multiply(D,
% multiply(A,
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))))
% ->
% inverse(D)
% Rule [103]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(V_4,inverse(multiply(C,V_4))) is composed into [103]
% multiply(A,
% multiply(B,
% multiply(
% inverse(B),
% inverse(
% multiply(C,A)))))
% -> inverse(C)
% Rule [19]
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(
% multiply(C,
% multiply(D,V_5))))))
% <-> multiply(B,inverse(multiply(C,B))) is composed into [19]
% multiply(D,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),V_5),
% inverse(
% multiply(C,
% multiply(D,V_5))))))
% -> inverse(C)
% New rule produced :
% [1032] multiply(V_6,inverse(multiply(V_4,V_6))) -> inverse(V_4)
% Rule
% [21]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(V_4,
% inverse(multiply(
% inverse(C),V_4)))))))))))
% -> D collapsed.
% Rule
% [33]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <-> multiply(V_6,inverse(multiply(D,V_6))) collapsed.
% Rule
% [59]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% -> D collapsed.
% Rule
% [143]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(C,inverse(multiply(A,C))),multiply(D,inverse(
% multiply(V_4,D)))))
% collapsed.
% Rule
% [147]
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_5),V_6))))))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% collapsed.
% Rule
% [149]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(A,multiply(V_4,
% inverse(
% multiply(
% inverse(B),V_4))))))))),
% multiply(V_5,multiply(inverse(V_5),C))) -> D collapsed.
% Rule
% [151]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(D,multiply(
% inverse(D),C)))
% -> A collapsed.
% Rule
% [176]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4)))) <->
% multiply(V_6,inverse(multiply(V_4,V_6))) collapsed.
% Rule
% [189]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4)))) -> inverse(B) collapsed.
% Rule
% [193]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(V_6,
% inverse(
% multiply(
% inverse(D),V_6))))))))),V_4)),V_5)))
% -> A collapsed.
% Rule
% [195]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),
% multiply(V_4,V_5))) -> A collapsed.
% Rule
% [201]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C))))),
% multiply(B,inverse(multiply(V_5,multiply(A,V_4))))))) ->
% V_5 collapsed.
% Rule
% [214]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(D,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% collapsed.
% Rule
% [217]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,
% multiply(V_4,
% multiply(A,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D)))
% -> inverse(V_4) collapsed.
% Rule
% [219]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(V_4,c3))))),
% multiply(A,D)))))),V_4)))
% -> c3 collapsed.
% Rule
% [225]
% multiply(multiply(inverse(A),B),multiply(C,multiply(multiply(inverse(C),
% inverse(multiply(
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))),
% multiply(
% inverse(multiply(A,V_4)),B)))),V_5)))
% -> V_5 collapsed.
% Rule
% [226]
% inverse(multiply(inverse(A),multiply(inverse(B),inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% inverse(multiply(B,D)))))))
% -> A collapsed.
% Rule
% [245]
% inverse(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(multiply(V_4,D)),
% multiply(V_4,multiply(V_5,
% inverse(multiply(
% inverse(B),V_5))))))))))
% -> A collapsed.
% Rule
% [246]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),multiply(multiply(B,C),
% multiply(D,inverse(
% multiply(
% inverse(V_4),D))))),
% inverse(multiply(multiply(V_5,inverse(multiply(
% inverse(C),V_5))),V_4)))))
% -> A collapsed.
% Rule
% [255]
% multiply(multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(V_5,
% inverse(multiply(
% inverse(C),V_5))))))))),D)),
% multiply(V_6,multiply(inverse(V_6),V_4))) -> A collapsed.
% Rule
% [259]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(A),V_4))),D)))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) collapsed.
% Rule
% [261]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(B),V_4))),D)))))
% <-> multiply(B,inverse(C)) collapsed.
% Rule
% [271]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(D),V_6))),V_5)))))
% <->
% multiply(A,multiply(multiply(C,inverse(multiply(A,C))),multiply(D,inverse(V_4))))
% collapsed.
% Rule
% [273]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(C),V_6))),V_5)))))
% <->
% inverse(multiply(V_4,multiply(c3,inverse(multiply(multiply(c3,inverse(
% multiply(
% inverse(C),c3))),c3)))))
% collapsed.
% Rule
% [287]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(D,V_6))),V_5)))))
% <-> multiply(multiply(C,inverse(multiply(D,C))),inverse(V_4)) collapsed.
% Rule
% [295]
% inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B))))))
% -> multiply(D,V_4) collapsed.
% Rule
% [321]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(D),V_6))),V_5)))))
% <-> multiply(D,inverse(V_4)) collapsed.
% Rule
% [335]
% inverse(multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(
% multiply(V_7,
% inverse(
% multiply(D,V_7))),
% multiply(V_4,V_6))))))
% <-> multiply(multiply(C,inverse(multiply(D,C))),V_4) collapsed.
% Rule
% [344]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),multiply(C,
% multiply(V_4,
% inverse(multiply(
% inverse(A),V_4))))),
% inverse(B)))) -> multiply(A,inverse(B))
% collapsed.
% Rule
% [363]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(inverse(V_4),D))))) -> V_4 collapsed.
% Rule
% [364]
% inverse(multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),
% inverse(multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D)))))) -> V_4 collapsed.
% Rule
% [388]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(multiply(D,
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,
% inverse(V_5))))),V_4),C)))),
% multiply(V_5,inverse(B)))) -> A collapsed.
% Rule
% [389]
% multiply(A,multiply(multiply(B,multiply(multiply(C,multiply(inverse(C),
% inverse(multiply(D,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_4))))))),D)),
% multiply(V_5,inverse(B)))) -> A collapsed.
% Rule
% [410]
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D)))) <->
% multiply(multiply(B,inverse(multiply(C,B))),inverse(D)) collapsed.
% Rule
% [420]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),
% multiply(inverse(C),
% inverse(multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))))))),D)),
% multiply(V_5,C)))) -> B collapsed.
% Rule
% [423]
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% multiply(V_6,
% inverse(
% multiply(C,V_6))))),
% inverse(D)))) <->
% multiply(multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))),
% inverse(D)) collapsed.
% Rule
% [429]
% multiply(C,multiply(V_6,inverse(multiply(multiply(V_7,inverse(multiply(
% inverse(V_5),V_7))),V_6))))
% <->
% multiply(C,multiply(c3,inverse(multiply(multiply(c3,inverse(multiply(
% inverse(V_5),c3))),c3))))
% collapsed.
% Rule
% [447]
% multiply(A,multiply(B,multiply(V_4,inverse(multiply(inverse(C),V_4))))) ->
% multiply(A,multiply(B,multiply(C,multiply(c3,multiply(c3,inverse(multiply(c3,c3)))))))
% collapsed.
% Rule [450] inverse(multiply(D,inverse(multiply(C,D)))) -> C collapsed.
% Rule
% [452]
% inverse(multiply(C,inverse(multiply(multiply(D,inverse(multiply(inverse(B),D))),C))))
% <-> multiply(inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))),B)
% collapsed.
% Rule
% [487]
% multiply(B,multiply(V_5,inverse(multiply(inverse(C),V_5)))) -> multiply(B,C)
% collapsed.
% Rule
% [494]
% multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,inverse(multiply(
% inverse(V_4),D))),
% multiply(inverse(multiply(B,V_4)),C))))
% <-> inverse(inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))))
% collapsed.
% Rule
% [510]
% inverse(multiply(V_5,inverse(multiply(V_4,V_5)))) <->
% multiply(A,multiply(multiply(C,inverse(multiply(A,C))),V_4)) collapsed.
% Rule
% [514]
% multiply(A,multiply(B,multiply(C,multiply(D,inverse(multiply(A,multiply(B,
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(
% inverse(D),V_4)))))))))))
% -> multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) collapsed.
% Rule
% [552]
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) -> multiply(A,B)
% collapsed.
% Rule
% [579]
% inverse(multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,multiply(C,
% multiply(D,
% multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),V_6))))))))),V_5))
% -> C collapsed.
% Rule
% [609]
% inverse(multiply(V_5,inverse(multiply(inverse(V_4),V_5)))) <->
% inverse(multiply(c3,inverse(multiply(inverse(V_4),c3)))) collapsed.
% Rule
% [611]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_6,inverse(multiply(V_4,V_6))) collapsed.
% Rule
% [656]
% multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(multiply(V_7,
% inverse(
% multiply(
% inverse(D),V_7))),
% multiply(inverse(V_4),V_6)))))
% <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(multiply(D,
% inverse(V_4)),A)))))
% collapsed.
% Rule
% [687]
% inverse(multiply(C,multiply(D,inverse(multiply(multiply(V_4,inverse(multiply(
% inverse(B),V_4))),D)))))
% <-> multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) collapsed.
% Rule
% [699]
% multiply(A,multiply(V_5,inverse(multiply(inverse(B),V_5)))) -> multiply(A,B)
% collapsed.
% Rule
% [703]
% multiply(multiply(inverse(A),B),multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(B),D))),C))))
% -> inverse(A) collapsed.
% Rule
% [706]
% inverse(multiply(V_5,inverse(multiply(inverse(D),V_5)))) <->
% inverse(multiply(c3,inverse(multiply(inverse(D),c3)))) collapsed.
% Rule
% [711]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(multiply(
% inverse(V_4),D)))),B)))),
% multiply(C,V_4)) -> A collapsed.
% Rule
% [713]
% inverse(multiply(D,inverse(multiply(C,D)))) <->
% multiply(inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))),multiply(B,
% multiply(
% inverse(B),C)))
% collapsed.
% Rule
% [717]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(inverse(C),
% inverse(multiply(
% inverse(D),
% inverse(V_4))))),B)))),
% multiply(V_4,D)) -> A collapsed.
% Rule
% [732]
% multiply(V_4,multiply(V_5,multiply(inverse(V_5),inverse(multiply(multiply(D,
% multiply(V_6,
% inverse(
% multiply(C,V_6)))),V_4)))))
% <-> multiply(multiply(B,multiply(inverse(B),C)),inverse(D)) collapsed.
% Rule
% [734]
% multiply(multiply(A,multiply(multiply(B,multiply(inverse(B),C)),inverse(D))),
% multiply(V_4,multiply(inverse(V_4),multiply(D,multiply(V_5,inverse(multiply(C,V_5)))))))
% -> A collapsed.
% Rule
% [735]
% inverse(multiply(V_4,multiply(V_5,inverse(multiply(multiply(V_6,inverse(
% multiply(
% inverse(A),V_6))),V_5)))))
% <->
% multiply(A,multiply(multiply(C,inverse(multiply(D,C))),multiply(D,inverse(V_4))))
% collapsed.
% Rule
% [748]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(inverse(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))),V_4))))),D))
% -> A collapsed.
% Rule
% [753]
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(multiply(inverse(C),
% inverse(D))),B)))),
% multiply(D,multiply(C,inverse(multiply(inverse(V_4),A))))) -> V_4 collapsed.
% Rule
% [755]
% multiply(multiply(V_4,inverse(multiply(inverse(C),V_4))),D) <->
% multiply(A,multiply(inverse(A),multiply(C,D))) collapsed.
% Rule
% [769]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,inverse(multiply(
% inverse(D),
% multiply(V_4,
% multiply(
% inverse(V_4),
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5)))))))),B)))),D)
% -> A collapsed.
% Rule
% [770]
% multiply(multiply(A,multiply(multiply(B,multiply(inverse(B),C)),inverse(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% multiply(V_5,
% inverse(
% multiply(C,V_5))),V_4))))))),
% multiply(D,multiply(inverse(D),multiply(V_5,inverse(multiply(inverse(D),V_5))))))
% -> A collapsed.
% Rule
% [771]
% multiply(multiply(A,multiply(C,inverse(multiply(D,C)))),multiply(V_4,
% multiply(multiply(
% inverse(V_4),
% multiply(V_5,
% multiply(
% inverse(V_5),D))),
% inverse(B)))) ->
% multiply(A,inverse(B)) collapsed.
% Rule
% [774]
% multiply(multiply(A,multiply(B,inverse(multiply(inverse(multiply(inverse(C),
% inverse(D))),B)))),
% multiply(D,multiply(C,inverse(multiply(V_4,A))))) <->
% multiply(V_6,inverse(multiply(V_4,V_6))) collapsed.
% Rule
% [780]
% multiply(A,multiply(multiply(inverse(A),multiply(inverse(B),inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4))) <-> multiply(V_6,inverse(multiply(B,V_6)))
% collapsed.
% Rule
% [812]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,inverse(V_4))))) -> V_4 collapsed.
% Rule
% [814]
% multiply(D,multiply(multiply(inverse(D),multiply(V_4,inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(V_6),V_5))),V_4)))),
% multiply(V_6,inverse(C)))) <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% collapsed.
% Rule
% [834]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(C,
% inverse(
% multiply(
% inverse(D),C)))))),D)))
% -> inverse(B) collapsed.
% Rule
% [846]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))),
% multiply(D,V_4))) <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),multiply(multiply(inverse(V_5),
% multiply(V_4,
% inverse(V_7))),V_7))))
% collapsed.
% Rule
% [851]
% inverse(multiply(multiply(multiply(inverse(C),multiply(inverse(D),inverse(
% multiply(V_4,V_5)))),V_4),
% multiply(c3,inverse(multiply(multiply(c3,inverse(multiply(multiply(V_5,D),
% multiply(c3,
% multiply(inverse(c3),
% multiply(V_5,
% inverse(multiply(
% inverse(c3),V_5)))))))),c3)))))
% -> C collapsed.
% Rule
% [857]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(multiply(C,D),
% inverse(V_4))),B)))),
% multiply(C,multiply(C,multiply(V_5,multiply(multiply(inverse(V_5),D),
% inverse(V_4)))))) -> A collapsed.
% Rule
% [859]
% multiply(multiply(A,multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(multiply(V_4,D)))),B)))),
% multiply(C,multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))))
% -> A collapsed.
% Rule
% [881]
% multiply(A,multiply(multiply(B,multiply(inverse(B),inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),V_4)))),
% multiply(D,V_4))) -> A collapsed.
% Rule
% [882]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),multiply(
% inverse(C),
% inverse(multiply(D,
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))))))),D)),
% multiply(V_5,C))) -> A collapsed.
% Rule
% [888]
% inverse(multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),
% multiply(V_4,V_5))) <->
% inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))) collapsed.
% Rule
% [897]
% multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),multiply(multiply(D,
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,D))))),
% multiply(V_5,C))) ->
% A collapsed.
% Rule
% [902]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% collapsed.
% Rule
% [906]
% inverse(multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(D,
% multiply(A,
% multiply(V_4,
% inverse(multiply(
% inverse(B),V_4))))))))),
% multiply(V_5,multiply(inverse(V_5),C)))) -> D collapsed.
% Rule
% [920]
% multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(V_4),D))),
% multiply(inverse(multiply(
% inverse(A),V_4)),C)))))
% -> inverse(A) collapsed.
% Rule
% [925]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <->
% multiply(V_5,multiply(V_6,multiply(multiply(inverse(V_6),multiply(inverse(V_5),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),
% inverse(D)))) collapsed.
% Rule
% [928]
% multiply(V_4,multiply(V_5,multiply(V_6,inverse(multiply(D,multiply(V_4,
% multiply(V_5,
% multiply(V_7,
% inverse(multiply(
% inverse(V_6),V_7))))))))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% multiply(c3,
% multiply(c3,
% inverse(multiply(c3,c3)))))),D))))
% collapsed.
% Rule
% [947]
% multiply(A,multiply(V_5,inverse(multiply(inverse(C),V_5)))) -> multiply(A,C)
% collapsed.
% Rule
% [951]
% multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,V_5))))),
% multiply(D,V_4))) <->
% multiply(B,multiply(V_6,inverse(multiply(multiply(V_7,inverse(multiply(
% inverse(V_5),V_7))),V_6))))
% collapsed.
% Rule
% [961]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(C,inverse(multiply(D,C))),multiply(D,inverse(
% multiply(V_4,A)))))
% collapsed.
% Rule
% [967]
% inverse(multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,multiply(D,
% inverse(
% multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(V_6,
% inverse(
% multiply(
% inverse(D),V_6))))))))),V_4)),V_5)))
% <-> inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))) collapsed.
% Rule
% [968]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% collapsed.
% Rule
% [969]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) collapsed.
% Rule
% [970]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% multiply(D,inverse(multiply(V_4,D))))) <->
% multiply(V_5,multiply(multiply(V_7,inverse(multiply(V_5,V_7))),multiply(V_8,
% inverse(
% multiply(V_4,V_8)))))
% collapsed.
% Rule
% [973]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A))))) collapsed.
% Rule
% [975]
% multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(D,inverse(
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),D))))),
% multiply(C,inverse(multiply(A,multiply(B,V_5))))))) ->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) collapsed.
% Rule
% [977]
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(D,multiply(V_5,
% multiply(V_6,
% multiply(V_8,
% inverse(multiply(
% inverse(V_7),V_8))))))))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(c3,c3))))))))))))
% collapsed.
% Rule
% [978]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(
% multiply(c3,
% multiply(c3,
% inverse(
% multiply(D,c3))))),A))))),D)))
% -> c3 collapsed.
% Rule
% [989]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),inverse(multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% inverse(
% multiply(A,D))))),V_4)))
% -> V_4 collapsed.
% Rule
% [991]
% multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,inverse(multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))) <->
% inverse(inverse(multiply(A,multiply(c3,inverse(multiply(A,c3)))))) collapsed.
% Rule [993] multiply(A,multiply(B,multiply(c3,inverse(multiply(B,c3))))) -> A
% collapsed.
% Rule
% [1004]
% multiply(A,multiply(inverse(A),multiply(B,inverse(multiply(C,B))))) <->
% multiply(D,multiply(inverse(D),multiply(V_4,inverse(multiply(C,V_4)))))
% collapsed.
% Rule
% [1014]
% inverse(multiply(A,multiply(c3,inverse(multiply(A,c3))))) <->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) collapsed.
% Rule
% [1018]
% inverse(multiply(c3,multiply(c3,inverse(multiply(c3,c3))))) <->
% multiply(A,multiply(c3,inverse(multiply(A,c3)))) collapsed.
% Rule
% [1019]
% multiply(A,multiply(c3,inverse(multiply(A,c3)))) <->
% multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) collapsed.
% Rule
% [1020]
% multiply(c3,multiply(c3,inverse(multiply(c3,c3)))) <->
% multiply(A,multiply(c3,inverse(multiply(A,c3)))) collapsed.
% Rule
% [1022]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(c3,inverse(
% multiply(B,c3)))),A)))
% -> A collapsed.
% Rule [1023] multiply(multiply(A,multiply(B,inverse(multiply(C,B)))),C) -> A
% collapsed.
% Rule
% [1024]
% multiply(B,multiply(c3,inverse(multiply(inverse(C),c3)))) -> multiply(B,C)
% collapsed.
% Rule
% [1025]
% multiply(multiply(inverse(A),B),multiply(C,inverse(multiply(B,C)))) ->
% inverse(A) collapsed.
% Rule
% [1026]
% inverse(multiply(C,multiply(D,inverse(multiply(B,D))))) <->
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) collapsed.
% Rule
% [1028]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),multiply(D,
% inverse(B))))
% -> A collapsed.
% Rule [1029] multiply(multiply(A,multiply(c3,inverse(multiply(A,c3)))),D) -> D
% collapsed.
% Current number of equations to process: 2111
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [1033] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3))
% Current number of equations to process: 2110
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [1034] multiply(c3,inverse(c3)) <-> multiply(A,inverse(A))
% Current number of equations to process: 2110
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [1035] multiply(multiply(A,inverse(C)),C) -> A
% Current number of equations to process: 2109
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [1036] multiply(multiply(A,inverse(A)),D) -> D
% Current number of equations to process: 2108
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [1037] inverse(multiply(A,inverse(A))) <-> multiply(c3,inverse(c3))
% Current number of equations to process: 2107
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [1038] multiply(c3,inverse(c3)) <-> inverse(multiply(A,inverse(A)))
% Current number of equations to process: 2107
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [1039] multiply(inverse(multiply(C,inverse(D))),C) -> D
% Current number of equations to process: 2104
% Current number of ordered equations: 0
% Current number of rules: 94
% Rule [782]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,D))) <->
% multiply(B,multiply(V_4,inverse(multiply(c3,multiply(inverse(c3),
% multiply(inverse(multiply(
% inverse(
% inverse(C)),D)),V_4)))))) is composed into
% [782]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,D))) <->
% multiply(B,multiply(V_4,inverse(multiply(inverse(multiply(inverse(inverse(C)),D)),V_4))))
% Rule [741]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <->
% multiply(C,multiply(V_5,inverse(multiply(c3,multiply(inverse(c3),
% multiply(inverse(multiply(D,V_4)),V_5)))))) is composed into
% [741]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <-> multiply(C,multiply(V_5,inverse(multiply(inverse(multiply(D,V_4)),V_5))))
% Rule [695]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,V_4)))),D)))
% <->
% multiply(multiply(V_5,multiply(inverse(V_5),inverse(multiply(inverse(C),
% inverse(A))))),
% inverse(V_4)) is composed into [695]
% multiply(A,multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(
% multiply(D,V_4)))),D)))
% <->
% multiply(inverse(multiply(inverse(C),
% inverse(A))),inverse(V_4))
% Rule [693]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(D))),V_4)))
% <->
% multiply(C,inverse(multiply(V_5,multiply(inverse(V_5),inverse(multiply(
% inverse(D),V_4)))))) is composed into
% [693]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(D))),V_4))) ->
% multiply(C,inverse(inverse(multiply(inverse(D),V_4))))
% Rule [428]
% multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(A,multiply(inverse(A),
% multiply(multiply(A,
% multiply(B,
% inverse(
% inverse(C)))),V_4))))))) is composed into
% [428]
% multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(A,multiply(B,
% inverse(inverse(C)))),V_4)))))
% Rule [264]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(c3,multiply(inverse(c3),
% multiply(multiply(A,C),V_4))))))) is composed into
% [264]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(A,C),V_4)))))
% New rule produced : [1040] multiply(A,multiply(inverse(A),V_4)) -> V_4
% Rule
% [56]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(inverse(C),A)))))
% -> C collapsed.
% Rule
% [103]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) ->
% inverse(C) collapsed.
% Rule
% [134]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))))
% -> inverse(D) collapsed.
% Rule
% [148]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_4,
% inverse(
% inverse(V_5)))))))))
% collapsed.
% Rule
% [162]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))))
% -> D collapsed.
% Rule
% [187]
% inverse(multiply(A,multiply(B,multiply(inverse(B),multiply(multiply(inverse(A),
% multiply(C,
% inverse(D))),D)))))
% -> inverse(C) collapsed.
% Rule
% [199]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))))
% -> C collapsed.
% Rule
% [227]
% multiply(multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),
% inverse(multiply(D,multiply(V_4,C))))),D)),
% multiply(V_5,multiply(inverse(V_5),V_4))) -> A collapsed.
% Rule
% [228]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(C),multiply(c3,inverse(c3))) collapsed.
% Rule
% [253]
% multiply(multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),
% multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)),
% multiply(V_6,multiply(inverse(V_6),C))) -> A collapsed.
% Rule
% [260]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% inverse(multiply(C,inverse(inverse(inverse(A))))) collapsed.
% Rule
% [284]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) <->
% inverse(multiply(C,inverse(A))) collapsed.
% Rule
% [299]
% multiply(A,multiply(B,multiply(inverse(B),inverse(C)))) ->
% multiply(A,inverse(C)) collapsed.
% Rule
% [342]
% multiply(A,multiply(D,multiply(multiply(inverse(D),multiply(V_4,multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(B),A))))),
% inverse(C)))) -> multiply(B,inverse(C)) collapsed.
% Rule
% [358]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% inverse(C),
% inverse(multiply(D,V_4)))),D)),V_4)))
% -> A collapsed.
% Rule
% [360]
% multiply(multiply(A,multiply(inverse(A),inverse(multiply(B,C)))),multiply(D,
% multiply(
% inverse(D),B)))
% -> inverse(C) collapsed.
% Rule
% [373]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(multiply(V_4,V_5)))),V_4)),V_5)),
% inverse(C)))) -> A collapsed.
% Rule
% [379]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <-> multiply(A,multiply(inverse(A),inverse(V_4))) collapsed.
% Rule
% [384]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,
% inverse(C))))),V_5))))))))
% -> D collapsed.
% Rule
% [385]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(multiply(V_5,
% inverse(C))))),V_5)))))))))
% -> D collapsed.
% Rule
% [392]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% -> inverse(V_4) collapsed.
% Rule
% [421]
% multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_6,multiply(
% inverse(V_6),
% inverse(
% multiply(D,A))))),
% inverse(V_4)))) -> multiply(inverse(D),inverse(V_4))
% collapsed.
% Rule
% [613]
% multiply(A,multiply(V_4,multiply(inverse(V_4),inverse(multiply(inverse(C),
% inverse(B)))))) <->
% multiply(A,multiply(B,multiply(C,multiply(c3,inverse(c3))))) collapsed.
% Rule
% [617]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(multiply(
% inverse(C),
% inverse(B))))))))))))
% -> D collapsed.
% Rule
% [620]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_6,
% multiply(
% inverse(V_6),
% inverse(
% multiply(
% inverse(V_5),
% inverse(V_4)))))))))))
% collapsed.
% Rule
% [621]
% multiply(D,multiply(V_4,multiply(V_5,inverse(multiply(C,multiply(D,multiply(V_6,
% multiply(
% inverse(V_6),
% inverse(
% multiply(
% inverse(V_5),
% inverse(V_4)))))))))))
% <-> multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% collapsed.
% Rule
% [634]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% multiply(V_4,multiply(
% inverse(V_4),
% inverse(
% multiply(
% inverse(B),
% inverse(A)))))))))),
% multiply(V_5,multiply(inverse(V_5),C))) -> D collapsed.
% Rule
% [658]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(
% multiply(V_4,
% multiply(
% inverse(V_4),
% inverse(multiply(V_5,V_6)))),V_5)),V_6)))))))))
% -> D collapsed.
% Rule
% [659]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(
% multiply(D,
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,
% inverse(V_5))))),V_4),
% multiply(
% inverse(
% multiply(B,V_5)),C))))))
% -> A collapsed.
% Rule
% [663]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(multiply(D,V_4),inverse(multiply(V_5,multiply(A,V_4))))))
% -> inverse(V_5) collapsed.
% Rule
% [698]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(D,V_5)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(C,
% multiply(c3,
% inverse(c3))))))))))
% collapsed.
% Rule
% [712]
% multiply(multiply(A,multiply(multiply(B,multiply(inverse(B),inverse(multiply(C,D)))),C)),
% multiply(V_4,multiply(inverse(V_4),D))) -> A collapsed.
% Rule
% [720]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(inverse(V_4),A))))) -> V_4 collapsed.
% Rule
% [729]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(c3),V_4)))),A) ->
% inverse(V_4) collapsed.
% Rule
% [730]
% multiply(A,multiply(B,multiply(inverse(B),C))) <->
% multiply(A,multiply(c3,multiply(inverse(c3),C))) collapsed.
% Rule
% [731]
% multiply(A,multiply(c3,multiply(inverse(c3),C))) <->
% multiply(A,multiply(B,multiply(inverse(B),C))) collapsed.
% Rule
% [813]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(multiply(inverse(D),inverse(inverse(inverse(V_6)))),
% multiply(V_6,inverse(C)))) collapsed.
% Rule
% [832]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [843]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(inverse(C),A)))))
% collapsed.
% Rule
% [844]
% multiply(D,multiply(V_4,multiply(inverse(V_4),multiply(multiply(inverse(D),
% multiply(C,inverse(V_5))),V_5))))
% -> inverse(inverse(C)) collapsed.
% Rule
% [847]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),multiply(multiply(inverse(V_5),
% multiply(V_4,
% inverse(V_7))),V_7))))
% <->
% multiply(A,multiply(multiply(inverse(A),inverse(inverse(inverse(D)))),
% multiply(D,V_4))) collapsed.
% Rule
% [863]
% multiply(multiply(A,multiply(B,inverse(multiply(C,D)))),multiply(V_4,
% multiply(inverse(V_4),C)))
% <->
% multiply(A,multiply(B,inverse(multiply(inverse(inverse(V_6)),inverse(
% multiply(
% inverse(D),V_6))))))
% collapsed.
% Rule
% [870]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),multiply(inverse(D),
% multiply(c3,inverse(c3)))),
% inverse(C)))) collapsed.
% Rule
% [891]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(D,multiply(V_4,multiply(inverse(V_4),inverse(multiply(C,D)))))
% collapsed.
% Rule
% [892]
% multiply(A,multiply(B,multiply(C,multiply(inverse(C),inverse(multiply(A,B))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [896]
% inverse(multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),
% inverse(multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A)))))) -> V_4 collapsed.
% Rule
% [900]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A))))) -> inverse(V_4) collapsed.
% Rule
% [903]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <->
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(A,B))))),
% inverse(V_4))) collapsed.
% Rule
% [905]
% multiply(V_5,multiply(V_6,multiply(inverse(V_6),inverse(multiply(V_4,V_5)))))
% <-> multiply(A,multiply(inverse(D),multiply(D,inverse(multiply(V_4,A)))))
% collapsed.
% Rule
% [946]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(C,inverse(inverse(inverse(B))))) collapsed.
% Rule
% [972]
% multiply(A,multiply(multiply(B,multiply(C,multiply(inverse(C),inverse(
% multiply(D,B))))),
% multiply(D,inverse(multiply(V_4,A))))) <->
% multiply(V_5,multiply(V_6,multiply(V_7,inverse(multiply(V_4,multiply(V_5,
% multiply(V_6,
% inverse(inverse(V_7)))))))))
% collapsed.
% Rule
% [994]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(multiply(A,c3))))) ->
% inverse(A) collapsed.
% Rule
% [1002]
% inverse(multiply(A,multiply(B,multiply(inverse(B),inverse(A))))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [1010]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(multiply(c3,
% multiply(
% inverse(c3),C))))),C)))
% -> inverse(B) collapsed.
% Rule
% [1027]
% multiply(A,multiply(inverse(A),multiply(B,inverse(C)))) <->
% inverse(multiply(C,inverse(B))) collapsed.
% Current number of equations to process: 2133
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [1041] multiply(inverse(multiply(A,V_4)),A) -> inverse(V_4)
% Rule [1039] multiply(inverse(multiply(C,inverse(D))),C) -> D collapsed.
% Current number of equations to process: 2132
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [1042] multiply(multiply(inverse(A),B),inverse(B)) -> inverse(A)
% Current number of equations to process: 2130
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [1043] inverse(multiply(V_4,D)) <-> multiply(inverse(D),inverse(V_4))
% Rule
% [480]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),V_4),inverse(
% multiply(V_5,
% multiply(C,V_4))))),V_5))
% -> C collapsed.
% Rule
% [578]
% inverse(multiply(multiply(D,multiply(multiply(inverse(D),multiply(multiply(
% inverse(C),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6))
% -> C collapsed.
% Current number of equations to process: 2131
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [1044] multiply(inverse(D),inverse(V_4)) <-> inverse(multiply(V_4,D))
% Current number of equations to process: 2131
% Current number of ordered equations: 0
% Current number of rules: 41
% Rule [1038] multiply(c3,inverse(c3)) <-> inverse(multiply(A,inverse(A))) is composed into
% [1038] multiply(c3,inverse(c3)) <-> multiply(A,inverse(A))
% Rule [1015] multiply(inverse(D),D) <-> inverse(multiply(A,inverse(A))) is composed into
% [1015] multiply(inverse(D),D) <-> multiply(A,inverse(A))
% Rule [458]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),C),inverse(B))))
% <-> multiply(inverse(multiply(A,inverse(A))),inverse(B)) is composed into
% [458]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),C),inverse(B))))
% <-> multiply(multiply(A,inverse(A)),inverse(B))
% New rule produced :
% [1045] inverse(multiply(C,inverse(A))) <-> multiply(A,inverse(C))
% Rule [1037] inverse(multiply(A,inverse(A))) <-> multiply(c3,inverse(c3))
% collapsed.
% Current number of equations to process: 2128
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [1046] multiply(A,inverse(C)) <-> inverse(multiply(C,inverse(A)))
% Rule
% [251]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),
% inverse(C)))) -> A collapsed.
% Rule [1042] multiply(multiply(inverse(A),B),inverse(B)) -> inverse(A)
% collapsed.
% Current number of equations to process: 2129
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [1047]
% multiply(A,multiply(multiply(B,inverse(D)),multiply(D,inverse(B)))) -> A
% Current number of equations to process: 2112
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [1048]
% multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(B)),A))) -> A
% Current number of equations to process: 2111
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [1049]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(C,inverse(D))),D)))
% -> inverse(C)
% Current number of equations to process: 2102
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [1050]
% multiply(A,multiply(B,C)) <->
% multiply(A,inverse(multiply(inverse(C),inverse(B))))
% Rule
% [109]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> A collapsed.
% Rule
% [254]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),D)))
% -> A collapsed.
% Rule
% [357]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% inverse(multiply(C,D)))),C)))
% -> inverse(D) collapsed.
% Rule
% [383]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(multiply(V_4,V_5)))),V_4)),V_5)),D)))
% -> A collapsed.
% Rule
% [418]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(A),
% inverse(
% multiply(D,
% inverse(V_4))))),D))),
% inverse(multiply(inverse(V_5),V_4))))) -> V_5
% collapsed.
% Rule
% [547]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D)),V_4)))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [695]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,V_4)))),D)))
% <-> multiply(inverse(multiply(inverse(C),inverse(A))),inverse(V_4))
% collapsed.
% Rule
% [1049]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(C,inverse(D))),D)))
% -> inverse(C) collapsed.
% Current number of equations to process: 2102
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [1051]
% multiply(A,inverse(multiply(inverse(C),inverse(B)))) <->
% multiply(A,multiply(B,C))
% Current number of equations to process: 2102
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [1052]
% multiply(A,inverse(A)) <->
% multiply(multiply(B,inverse(V_4)),multiply(V_4,inverse(B)))
% Current number of equations to process: 2101
% Current number of ordered equations: 1
% Current number of rules: 38
% Rule [1052]
% multiply(A,inverse(A)) <->
% multiply(multiply(B,inverse(V_4)),multiply(V_4,inverse(B))) is composed into
% [1052] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [1053]
% multiply(multiply(B,inverse(V_4)),multiply(V_4,inverse(B))) <->
% multiply(A,inverse(A))
% Rule
% [1047]
% multiply(A,multiply(multiply(B,inverse(D)),multiply(D,inverse(B)))) -> A
% collapsed.
% Current number of equations to process: 2101
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [1054]
% multiply(D,inverse(multiply(inverse(V_5),inverse(multiply(inverse(D),
% multiply(C,inverse(V_5)))))))
% -> C
% Current number of equations to process: 2099
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [1055]
% multiply(A,multiply(multiply(inverse(A),inverse(D)),multiply(D,inverse(V_4))))
% -> inverse(V_4)
% Current number of equations to process: 2098
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [1056]
% multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4) ->
% multiply(C,multiply(D,V_4))
% Current number of equations to process: 2088
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [1057]
% multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),inverse(multiply(D,A))),
% inverse(V_4)))) -> multiply(inverse(D),inverse(V_4))
% Current number of equations to process: 2080
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [1058]
% inverse(multiply(D,inverse(multiply(A,C)))) <->
% multiply(A,multiply(inverse(B),multiply(multiply(B,C),inverse(D))))
% Current number of equations to process: 2079
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [1059]
% multiply(A,multiply(inverse(B),multiply(multiply(B,C),inverse(D)))) <->
% inverse(multiply(D,inverse(multiply(A,C))))
% Current number of equations to process: 2079
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [1060]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,C)))))))
% -> inverse(D)
% Current number of equations to process: 2070
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [1061]
% inverse(multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(
% inverse(D),
% multiply(V_4,V_6))))))
% -> multiply(inverse(D),V_4)
% Current number of equations to process: 2067
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [1062]
% inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(D,
% multiply(V_4,B))))))
% -> multiply(D,V_4)
% Rule
% [1061]
% inverse(multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(multiply(
% inverse(D),
% multiply(V_4,V_6))))))
% -> multiply(inverse(D),V_4) collapsed.
% Current number of equations to process: 2053
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [1063]
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% inverse(C))),
% inverse(D)))) ->
% multiply(inverse(C),inverse(D))
% Current number of equations to process: 2052
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [1064]
% multiply(inverse(V_5),inverse(multiply(D,multiply(V_4,inverse(multiply(V_5,
% multiply(C,
% multiply(D,V_4))))))))
% -> C
% Current number of equations to process: 2048
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [1065]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,inverse(
% multiply(
% inverse(C),
% inverse(B)))))))))
% -> inverse(D)
% Current number of equations to process: 2041
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [1066]
% multiply(multiply(A,multiply(B,C)),inverse(D)) ->
% multiply(A,multiply(B,multiply(C,inverse(D))))
% Rule
% [16]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(V_4),
% multiply(A,D)))))),
% inverse(multiply(inverse(V_5),V_4))))) -> V_5
% collapsed.
% Rule
% [343]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(A,C),
% inverse(D))),inverse(
% multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),C),
% inverse(D))))))))
% -> A collapsed.
% Rule
% [412]
% multiply(inverse(A),multiply(V_5,multiply(multiply(inverse(V_5),multiply(A,
% multiply(
% multiply(A,C),
% inverse(D)))),
% inverse(V_4)))) <->
% multiply(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))),
% inverse(V_4)) collapsed.
% Rule
% [723]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),C)),
% inverse(D)))) <-> inverse(multiply(D,inverse(C)))
% collapsed.
% Rule
% [1063]
% multiply(inverse(V_4),multiply(V_5,multiply(multiply(inverse(V_5),multiply(V_4,
% inverse(C))),
% inverse(D)))) ->
% multiply(inverse(C),inverse(D)) collapsed.
% Current number of equations to process: 2041
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [1067]
% multiply(A,multiply(inverse(D),multiply(multiply(D,V_4),inverse(V_5)))) <->
% multiply(multiply(A,V_4),inverse(V_5))
% Current number of equations to process: 2040
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [1068]
% multiply(multiply(A,V_4),inverse(V_5)) <->
% multiply(A,multiply(inverse(D),multiply(multiply(D,V_4),inverse(V_5))))
% Rule
% [15]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),V_5),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_5)))))))))))
% -> D collapsed.
% Rule
% [19]
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(multiply(C,
% multiply(D,V_5))))))
% -> inverse(C) collapsed.
% Rule
% [264]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(A,C),V_4)))))
% collapsed.
% Rule
% [286]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% inverse(multiply(D,inverse(multiply(A,C)))) collapsed.
% Rule
% [458]
% multiply(inverse(C),multiply(D,multiply(multiply(inverse(D),C),inverse(B))))
% <-> multiply(multiply(A,inverse(A)),inverse(B)) collapsed.
% Rule
% [490]
% multiply(A,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),V_5))))))
% <-> multiply(A,multiply(B,multiply(C,multiply(c3,inverse(c3))))) collapsed.
% Rule
% [693]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(D))),V_4))) ->
% multiply(C,inverse(inverse(multiply(inverse(D),V_4)))) collapsed.
% Rule
% [1057]
% multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),inverse(multiply(D,A))),
% inverse(V_4)))) -> multiply(inverse(D),inverse(V_4))
% collapsed.
% Rule
% [1062]
% inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(D,
% multiply(V_4,B))))))
% -> multiply(D,V_4) collapsed.
% Current number of equations to process: 2047
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [1069]
% multiply(multiply(A,V_4),multiply(multiply(inverse(multiply(inverse(B),V_4)),C),D))
% -> multiply(A,multiply(multiply(B,C),D))
% Current number of equations to process: 2049
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [1070]
% multiply(multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),C),D))),V_4)
% <-> multiply(A,multiply(B,multiply(multiply(multiply(inverse(B),C),D),V_4)))
% Current number of equations to process: 2044
% Current number of ordered equations: 3
% Current number of rules: 40
% New rule produced :
% [1071]
% multiply(A,multiply(B,multiply(multiply(multiply(inverse(B),C),D),V_4))) <->
% multiply(multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),C),D))),V_4)
% Current number of equations to process: 2044
% Current number of ordered equations: 2
% Current number of rules: 41
% New rule produced :
% [1072]
% multiply(A,multiply(B,multiply(multiply(multiply(inverse(B),C),D),V_4))) <->
% multiply(multiply(A,C),multiply(V_5,multiply(multiply(inverse(V_5),D),V_4)))
% Current number of equations to process: 2044
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [1073]
% multiply(multiply(A,C),multiply(V_5,multiply(multiply(inverse(V_5),D),V_4)))
% <-> multiply(A,multiply(B,multiply(multiply(multiply(inverse(B),C),D),V_4)))
% Current number of equations to process: 2044
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [1074]
% multiply(inverse(multiply(V_5,D)),multiply(inverse(V_4),inverse(multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,V_5)))))))
% -> C
% Current number of equations to process: 2043
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [1075]
% multiply(inverse(c3),multiply(multiply(c3,B),multiply(inverse(C),inverse(
% multiply(
% inverse(D),
% multiply(
% inverse(D),
% multiply(
% multiply(D,B),
% inverse(C))))))))
% -> D
% Current number of equations to process: 2040
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [1076]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% inverse(multiply(inverse(B),
% inverse(A)))))))),C)
% -> D
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [1077]
% multiply(multiply(A,multiply(inverse(D),inverse(V_4))),multiply(V_4,D)) -> A
% Current number of equations to process: 2036
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [1078]
% multiply(A,multiply(multiply(inverse(A),inverse(D)),multiply(D,V_4))) -> V_4
% Rule
% [1055]
% multiply(A,multiply(multiply(inverse(A),inverse(D)),multiply(D,inverse(V_4))))
% -> inverse(V_4) collapsed.
% Current number of equations to process: 2032
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [1079]
% multiply(A,inverse(A)) <->
% multiply(inverse(B),multiply(inverse(c3),multiply(multiply(c3,C),inverse(
% multiply(V_4,
% multiply(
% inverse(
% multiply(B,V_4)),C))))))
% Current number of equations to process: 2026
% Current number of ordered equations: 1
% Current number of rules: 48
% Rule [1079]
% multiply(A,inverse(A)) <->
% multiply(inverse(B),multiply(inverse(c3),multiply(multiply(c3,C),
% inverse(multiply(V_4,multiply(
% inverse(
% multiply(B,V_4)),C)))))) is composed into
% [1079] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [1080]
% multiply(inverse(B),multiply(inverse(c3),multiply(multiply(c3,C),inverse(
% multiply(V_4,
% multiply(
% inverse(
% multiply(B,V_4)),C))))))
% <-> multiply(A,inverse(A))
% Current number of equations to process: 2026
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [1081]
% multiply(multiply(A,multiply(inverse(C),inverse(D))),multiply(D,multiply(C,
% inverse(
% multiply(V_4,A)))))
% -> inverse(V_4)
% Current number of equations to process: 2025
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [1082]
% multiply(multiply(A,multiply(B,inverse(multiply(C,D)))),C) ->
% multiply(A,multiply(B,inverse(D)))
% Rule
% [1076]
% multiply(multiply(A,multiply(B,inverse(multiply(C,multiply(inverse(D),
% inverse(multiply(inverse(B),
% inverse(A)))))))),C)
% -> D collapsed.
% Current number of equations to process: 2024
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [1083]
% multiply(A,multiply(B,inverse(multiply(inverse(D),inverse(multiply(inverse(B),
% inverse(A))))))) ->
% D
% Current number of equations to process: 2023
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [1084]
% multiply(multiply(B,multiply(inverse(c3),multiply(multiply(c3,D),inverse(
% multiply(V_5,D))))),V_5)
% -> B
% Current number of equations to process: 2020
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [1085]
% inverse(multiply(A,multiply(inverse(multiply(B,inverse(V_4))),multiply(B,
% inverse(
% multiply(V_5,
% multiply(A,V_4)))))))
% -> V_5
% Current number of equations to process: 2018
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [1086]
% multiply(A,inverse(multiply(inverse(multiply(D,V_6)),inverse(multiply(
% inverse(c3),
% multiply(
% multiply(c3,C),
% inverse(
% multiply(D,
% multiply(V_6,C)))))))))
% -> A
% Current number of equations to process: 2016
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [1087]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),A),V_4))) -> V_4
% Current number of equations to process: 2003
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [1088]
% multiply(multiply(A,inverse(multiply(inverse(C),inverse(B)))),inverse(D)) ->
% multiply(A,multiply(B,multiply(C,inverse(D))))
% Current number of equations to process: 2002
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [1089]
% multiply(A,multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),
% multiply(inverse(A),
% inverse(multiply(C,D)))))))))
% -> inverse(D)
% Current number of equations to process: 2001
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [1090]
% multiply(A,multiply(inverse(D),multiply(multiply(D,V_4),inverse(multiply(V_5,
% multiply(A,V_4))))))
% -> inverse(V_5)
% Current number of equations to process: 2000
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [1091]
% multiply(D,multiply(inverse(c3),multiply(multiply(c3,inverse(D)),inverse(C))))
% -> inverse(C)
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [1092]
% multiply(inverse(c3),multiply(multiply(c3,C),inverse(multiply(V_4,multiply(
% inverse(
% multiply(
% inverse(A),V_4)),C)))))
% -> inverse(A)
% Current number of equations to process: 1992
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [1093]
% inverse(multiply(inverse(c3),multiply(multiply(c3,B),inverse(multiply(D,
% multiply(V_4,B))))))
% -> multiply(D,V_4)
% Rule
% [1086]
% multiply(A,inverse(multiply(inverse(multiply(D,V_6)),inverse(multiply(
% inverse(c3),
% multiply(
% multiply(c3,C),
% inverse(
% multiply(D,
% multiply(V_6,C)))))))))
% -> A collapsed.
% Current number of equations to process: 1986
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [1094]
% multiply(inverse(C),multiply(inverse(D),multiply(multiply(D,C),inverse(B))))
% -> inverse(B)
% Current number of equations to process: 1973
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [1095]
% multiply(multiply(A,inverse(D)),multiply(inverse(c3),multiply(multiply(c3,D),
% inverse(B)))) ->
% multiply(A,inverse(B))
% Current number of equations to process: 1962
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [1096]
% multiply(B,multiply(C,inverse(multiply(inverse(V_4),multiply(B,C))))) -> V_4
% Current number of equations to process: 1959
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [1097]
% inverse(multiply(B,multiply(C,inverse(multiply(V_4,multiply(B,C)))))) -> V_4
% Current number of equations to process: 1958
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [1098]
% inverse(multiply(inverse(A),multiply(B,inverse(multiply(D,multiply(inverse(
% multiply(V_4,D)),
% multiply(V_4,B)))))))
% -> A
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [1099]
% inverse(multiply(V_4,inverse(C))) <->
% multiply(inverse(c3),multiply(multiply(c3,C),inverse(V_4)))
% Current number of equations to process: 1950
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [1100]
% multiply(inverse(c3),multiply(multiply(c3,C),inverse(V_4))) <->
% inverse(multiply(V_4,inverse(C)))
% Current number of equations to process: 1950
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [1101]
% multiply(B,multiply(multiply(B,C),multiply(inverse(D),inverse(multiply(B,
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,C),
% inverse(D))))))))
% -> B
% Current number of equations to process: 1947
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [1102]
% multiply(A,multiply(inverse(c3),multiply(multiply(c3,inverse(multiply(D,A))),
% inverse(V_4)))) ->
% multiply(inverse(D),inverse(V_4))
% Current number of equations to process: 1940
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [1103]
% multiply(multiply(A,multiply(C,inverse(D))),multiply(D,inverse(C))) -> A
% Current number of equations to process: 1933
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [1104]
% multiply(A,multiply(C,inverse(multiply(V_4,multiply(A,C))))) -> inverse(V_4)
% Rule
% [1096]
% multiply(B,multiply(C,inverse(multiply(inverse(V_4),multiply(B,C))))) -> V_4
% collapsed.
% Rule
% [1097]
% inverse(multiply(B,multiply(C,inverse(multiply(V_4,multiply(B,C)))))) -> V_4
% collapsed.
% Current number of equations to process: 1920
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [1105]
% multiply(A,inverse(multiply(inverse(multiply(D,V_4)),inverse(multiply(
% inverse(A),
% multiply(B,
% inverse(
% multiply(D,
% multiply(V_4,V_5)))))))))
% -> multiply(B,inverse(V_5))
% Current number of equations to process: 1917
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [1106]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,multiply(V_4,C)))))))
% <-> multiply(multiply(A,D),multiply(V_4,inverse(B)))
% Current number of equations to process: 1919
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [1107]
% multiply(multiply(A,D),multiply(V_4,inverse(B))) <->
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(D,multiply(V_4,C)))))))
% Rule
% [1053]
% multiply(multiply(B,inverse(V_4)),multiply(V_4,inverse(B))) <->
% multiply(A,inverse(A)) collapsed.
% Rule
% [1103]
% multiply(multiply(A,multiply(C,inverse(D))),multiply(D,inverse(C))) -> A
% collapsed.
% Current number of equations to process: 1921
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [1108] multiply(A,inverse(A)) <-> multiply(B,inverse(B))
% Rule [1033] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3)) collapsed.
% Rule [1034] multiply(c3,inverse(c3)) <-> multiply(A,inverse(A)) collapsed.
% Rule [1038] multiply(c3,inverse(c3)) <-> multiply(A,inverse(A)) collapsed.
% Rule [1052] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3)) collapsed.
% Rule [1079] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 1920
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [1109]
% multiply(A,inverse(multiply(C,multiply(C,inverse(multiply(multiply(C,
% inverse(D)),
% multiply(D,C))))))) -> A
% Current number of equations to process: 1919
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [1110]
% multiply(multiply(A,multiply(D,multiply(V_4,inverse(C)))),V_5) <->
% multiply(A,multiply(B,multiply(inverse(multiply(C,inverse(multiply(inverse(B),
% multiply(D,V_4))))),V_5)))
% Current number of equations to process: 1917
% Current number of ordered equations: 3
% Current number of rules: 68
% New rule produced :
% [1111]
% multiply(A,multiply(B,multiply(inverse(multiply(C,inverse(multiply(inverse(B),
% multiply(D,V_4))))),V_5)))
% <-> multiply(multiply(A,multiply(D,multiply(V_4,inverse(C)))),V_5)
% Current number of equations to process: 1917
% Current number of ordered equations: 2
% Current number of rules: 69
% New rule produced :
% [1112]
% multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(B),D),
% multiply(V_4,V_5))))))) <->
% multiply(multiply(A,D),multiply(V_4,multiply(V_5,inverse(C))))
% Current number of equations to process: 1917
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [1113]
% multiply(multiply(A,D),multiply(V_4,multiply(V_5,inverse(C)))) <->
% multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(B),D),
% multiply(V_4,V_5)))))))
% Current number of equations to process: 1917
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [1114]
% multiply(inverse(multiply(inverse(C),inverse(A))),inverse(V_4)) ->
% multiply(A,multiply(C,inverse(V_4)))
% Current number of equations to process: 1915
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [1115]
% multiply(A,multiply(B,multiply(inverse(multiply(C,inverse(V_5))),multiply(C,
% inverse(
% multiply(A,
% multiply(B,V_5)))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1910
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [1116]
% multiply(multiply(inverse(c3),multiply(multiply(c3,B),inverse(V_4))),V_4) ->
% B
% Current number of equations to process: 1908
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [1117]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(
% multiply(A,V_4),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_4)))))))))
% -> D
% Current number of equations to process: 1903
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [1118]
% multiply(inverse(V_6),inverse(multiply(D,inverse(multiply(inverse(V_5),
% inverse(multiply(inverse(D),
% multiply(inverse(C),
% multiply(inverse(c3),
% multiply(multiply(c3,V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4)))))))))))))
% -> C
% Current number of equations to process: 1893
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [1119]
% multiply(A,multiply(B,inverse(multiply(inverse(D),inverse(multiply(inverse(B),
% multiply(C,
% inverse(multiply(D,V_4)))))))))
% -> multiply(A,multiply(C,inverse(V_4)))
% Rule
% [1089]
% multiply(A,multiply(B,inverse(multiply(inverse(C),inverse(multiply(inverse(B),
% multiply(inverse(A),
% inverse(multiply(C,D)))))))))
% -> inverse(D) collapsed.
% Current number of equations to process: 1889
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [1120]
% multiply(A,multiply(multiply(inverse(C),inverse(V_5)),multiply(V_5,C))) -> A
% Current number of equations to process: 1883
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [1121]
% multiply(A,multiply(B,inverse(multiply(inverse(D),inverse(multiply(inverse(B),
% inverse(multiply(
% inverse(
% multiply(c3,
% inverse(D))),A))))))))
% -> c3
% Current number of equations to process: 1880
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [1122]
% multiply(inverse(c3),multiply(multiply(c3,V_6),inverse(multiply(D,multiply(
% inverse(V_4),V_6)))))
% -> inverse(multiply(D,inverse(V_4)))
% Rule
% [1080]
% multiply(inverse(B),multiply(inverse(c3),multiply(multiply(c3,C),inverse(
% multiply(V_4,
% multiply(
% inverse(
% multiply(B,V_4)),C))))))
% <-> multiply(A,inverse(A)) collapsed.
% Rule
% [1092]
% multiply(inverse(c3),multiply(multiply(c3,C),inverse(multiply(V_4,multiply(
% inverse(
% multiply(
% inverse(A),V_4)),C)))))
% -> inverse(A) collapsed.
% Current number of equations to process: 1877
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [1123]
% multiply(multiply(inverse(A),B),multiply(C,multiply(multiply(inverse(C),
% inverse(multiply(V_4,
% multiply(
% inverse(multiply(A,V_4)),B)))),V_5)))
% -> V_5
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [1124]
% multiply(inverse(V_5),inverse(multiply(multiply(inverse(B),inverse(V_4)),
% multiply(V_4,inverse(V_5))))) -> B
% Current number of equations to process: 1870
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [1125]
% multiply(A,multiply(inverse(multiply(D,inverse(V_4))),multiply(D,inverse(
% multiply(
% inverse(V_5),
% multiply(A,V_4))))))
% -> V_5
% Current number of equations to process: 1867
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [1126]
% multiply(inverse(multiply(multiply(B,D),inverse(V_4))),multiply(B,multiply(D,
% inverse(
% multiply(
% inverse(V_5),V_4)))))
% -> V_5
% Current number of equations to process: 1867
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [1127] multiply(multiply(A,multiply(B,inverse(D))),D) -> multiply(A,B)
% Rule
% [1116]
% multiply(multiply(inverse(c3),multiply(multiply(c3,B),inverse(V_4))),V_4) ->
% B collapsed.
% Current number of equations to process: 1862
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [1128]
% multiply(multiply(B,inverse(multiply(inverse(V_6),inverse(multiply(C,
% inverse(multiply(
% inverse(V_5),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% multiply(
% inverse(D),
% multiply(
% multiply(D,V_4),
% inverse(
% multiply(V_5,
% multiply(V_6,V_4))))))))))))))),D)
% -> B
% Current number of equations to process: 1851
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [1129]
% multiply(B,multiply(C,inverse(multiply(C,multiply(C,inverse(multiply(
% multiply(
% inverse(D),
% multiply(
% multiply(D,V_4),
% inverse(multiply(V_6,V_4)))),
% multiply(V_6,C))))))))
% -> B
% Current number of equations to process: 1849
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [1130]
% inverse(multiply(inverse(c3),multiply(multiply(c3,B),inverse(multiply(C,B)))))
% -> C
% Current number of equations to process: 1833
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [1131]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% multiply(inverse(c3),
% multiply(multiply(c3,C),
% inverse(D))))),V_4))) ->
% multiply(C,multiply(inverse(D),V_4))
% Current number of equations to process: 1828
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [1132] multiply(multiply(multiply(B,C),inverse(multiply(V_5,C))),V_5) -> B
% Current number of equations to process: 1824
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [1133]
% multiply(multiply(multiply(A,B),inverse(multiply(D,multiply(V_4,B)))),
% multiply(D,V_4)) -> A
% Current number of equations to process: 1813
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [1134]
% multiply(multiply(multiply(multiply(A,B),inverse(multiply(C,multiply(V_4,B)))),C),V_4)
% -> A
% Current number of equations to process: 1809
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [1135]
% multiply(multiply(A,inverse(multiply(C,multiply(multiply(C,D),inverse(V_4))))),
% multiply(C,multiply(C,multiply(inverse(c3),multiply(multiply(c3,D),inverse(V_4))))))
% -> A
% Current number of equations to process: 1807
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [1136]
% multiply(C,inverse(multiply(D,multiply(C,inverse(multiply(multiply(D,
% inverse(V_4)),
% multiply(V_4,C))))))) -> C
% Current number of equations to process: 1804
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [1137]
% inverse(multiply(multiply(B,multiply(C,inverse(D))),V_4)) <->
% multiply(inverse(V_4),multiply(D,inverse(multiply(B,C))))
% Current number of equations to process: 1803
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [1138]
% multiply(inverse(V_4),multiply(D,inverse(multiply(B,C)))) <->
% inverse(multiply(multiply(B,multiply(C,inverse(D))),V_4))
% Current number of equations to process: 1803
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [1139]
% multiply(A,multiply(inverse(c3),multiply(multiply(c3,C),multiply(inverse(c3),
% multiply(multiply(c3,
% inverse(D)),
% inverse(V_4)))))) <->
% multiply(multiply(A,C),multiply(inverse(c3),multiply(multiply(c3,inverse(D)),
% inverse(V_4))))
% Current number of equations to process: 1801
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [1140]
% multiply(multiply(A,C),multiply(inverse(c3),multiply(multiply(c3,inverse(D)),
% inverse(V_4)))) <->
% multiply(A,multiply(inverse(c3),multiply(multiply(c3,C),multiply(inverse(c3),
% multiply(multiply(c3,
% inverse(D)),
% inverse(V_4))))))
% Current number of equations to process: 1801
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [1141]
% multiply(A,multiply(B,inverse(multiply(inverse(V_4),inverse(multiply(
% inverse(B),
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,D),
% inverse(multiply(
% inverse(
% multiply(c3,
% inverse(V_4))),
% multiply(A,D)))))))))))
% -> c3
% Current number of equations to process: 1793
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [1142]
% multiply(multiply(A,inverse(D)),multiply(V_4,multiply(multiply(inverse(V_4),
% multiply(D,inverse(A))),V_5)))
% -> V_5
% Current number of equations to process: 1788
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [1143]
% multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(inverse(C),
% inverse(V_5)))),multiply(V_5,C)))
% -> B
% Current number of equations to process: 1786
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [1144]
% inverse(multiply(inverse(D),inverse(multiply(B,inverse(multiply(D,multiply(
% inverse(V_4),B)))))))
% -> V_4
% Current number of equations to process: 1784
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [1145]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(multiply(B,
% inverse(C)),
% multiply(C,C))))))) -> A
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [1146]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,D))) ->
% multiply(B,multiply(C,D))
% Rule
% [782]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,D))) <->
% multiply(B,multiply(V_4,inverse(multiply(inverse(multiply(inverse(inverse(C)),D)),V_4))))
% collapsed.
% Rule
% [1078]
% multiply(A,multiply(multiply(inverse(A),inverse(D)),multiply(D,V_4))) -> V_4
% collapsed.
% Rule
% [1143]
% multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(inverse(C),
% inverse(V_5)))),multiply(V_5,C)))
% -> B collapsed.
% Current number of equations to process: 1753
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [1147]
% inverse(multiply(inverse(A),inverse(multiply(inverse(V_4),inverse(multiply(
% inverse(B),
% multiply(
% multiply(B,C),
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,D),
% inverse(
% multiply(V_4,
% multiply(C,D))))))))))))
% -> A
% Current number of equations to process: 1747
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [1148]
% multiply(multiply(A,inverse(multiply(C,inverse(D)))),inverse(multiply(D,
% inverse(C)))) ->
% A
% Current number of equations to process: 1746
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [1149]
% inverse(multiply(C,multiply(C,inverse(multiply(multiply(multiply(B,C),
% inverse(V_4)),multiply(V_4,C))))))
% -> B
% Current number of equations to process: 1744
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [1150]
% multiply(multiply(A,inverse(multiply(inverse(C),inverse(multiply(inverse(A),
% inverse(multiply(C,
% multiply(V_4,
% inverse(V_5))))))))),V_4)
% -> V_5
% Current number of equations to process: 1741
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [1151]
% inverse(multiply(multiply(A,inverse(D)),multiply(D,inverse(multiply(V_5,A)))))
% -> V_5
% Current number of equations to process: 1724
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [1152]
% multiply(A,multiply(inverse(c3),multiply(multiply(c3,D),multiply(inverse(D),
% multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),
% multiply(A,D)))),
% inverse(multiply(
% inverse(V_5),V_4)))))))
% -> V_5
% Current number of equations to process: 1709
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [1153]
% multiply(multiply(V_5,multiply(inverse(multiply(A,V_5)),B)),C) ->
% multiply(multiply(inverse(A),B),C)
% Current number of equations to process: 1707
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [1154]
% multiply(A,multiply(B,multiply(V_4,multiply(multiply(inverse(V_4),C),D))))
% <-> multiply(A,multiply(B,multiply(c3,multiply(multiply(inverse(c3),C),D))))
% Current number of equations to process: 1699
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [1155]
% multiply(A,multiply(B,multiply(c3,multiply(multiply(inverse(c3),C),D)))) <->
% multiply(A,multiply(B,multiply(V_4,multiply(multiply(inverse(V_4),C),D))))
% Current number of equations to process: 1699
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [1156]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% multiply(
% inverse(A),C),D),V_4)),V_5)))
% -> multiply(C,multiply(D,multiply(V_4,V_5)))
% Current number of equations to process: 1698
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [1157]
% multiply(multiply(A,V_5),multiply(V_6,multiply(multiply(inverse(V_6),
% multiply(multiply(inverse(
% multiply(
% inverse(B),V_5)),C),D)),V_4)))
% -> multiply(A,multiply(B,multiply(C,multiply(D,V_4))))
% Current number of equations to process: 1697
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [1158]
% multiply(D,multiply(V_4,multiply(V_5,inverse(B)))) <->
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(multiply(multiply(
% inverse(A),D),V_4),
% multiply(V_5,C)))))))
% Current number of equations to process: 1701
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [1159]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(multiply(multiply(
% inverse(A),D),V_4),
% multiply(V_5,C))))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(B))))
% Current number of equations to process: 1701
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [1160]
% multiply(D,multiply(multiply(V_4,inverse(C)),V_5)) <->
% multiply(A,multiply(B,multiply(inverse(multiply(C,inverse(multiply(inverse(B),
% multiply(multiply(
% inverse(A),D),V_4))))),V_5)))
% Current number of equations to process: 1700
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [1161]
% multiply(A,multiply(B,multiply(inverse(multiply(C,inverse(multiply(inverse(B),
% multiply(multiply(
% inverse(A),D),V_4))))),V_5)))
% <-> multiply(D,multiply(multiply(V_4,inverse(C)),V_5))
% Current number of equations to process: 1700
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [1162]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(D,V_4))),V_5)))
% <->
% multiply(V_6,multiply(multiply(multiply(inverse(multiply(inverse(A),V_6)),C),D),
% multiply(V_4,V_5)))
% Current number of equations to process: 1701
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [1163]
% multiply(V_6,multiply(multiply(multiply(inverse(multiply(inverse(A),V_6)),C),D),
% multiply(V_4,V_5))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(D,V_4))),V_5)))
% Current number of equations to process: 1701
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [1164]
% multiply(D,multiply(multiply(V_4,multiply(V_5,inverse(C))),V_6)) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,
% inverse(multiply(
% multiply(
% inverse(A),D),
% multiply(V_4,V_5)))))),V_6)))
% Current number of equations to process: 1698
% Current number of ordered equations: 4
% Current number of rules: 115
% New rule produced :
% [1165]
% multiply(D,multiply(V_4,multiply(V_5,multiply(V_6,inverse(C))))) <->
% multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(B),
% multiply(multiply(
% inverse(A),D),V_4)),
% multiply(V_5,V_6)))))))
% Current number of equations to process: 1698
% Current number of ordered equations: 3
% Current number of rules: 116
% New rule produced :
% [1166]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(multiply(C,
% inverse(
% multiply(
% inverse(A),
% multiply(D,V_4))))),V_5)),V_6)))
% -> multiply(multiply(D,multiply(V_4,inverse(C))),multiply(V_5,V_6))
% Current number of equations to process: 1698
% Current number of ordered equations: 2
% Current number of rules: 117
% New rule produced :
% [1167]
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,
% inverse(multiply(
% multiply(
% inverse(A),D),
% multiply(V_4,V_5)))))),V_6)))
% <-> multiply(D,multiply(multiply(V_4,multiply(V_5,inverse(C))),V_6))
% Current number of equations to process: 1698
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [1168]
% multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(B),
% multiply(multiply(
% inverse(A),D),V_4)),
% multiply(V_5,V_6))))))) <->
% multiply(D,multiply(V_4,multiply(V_5,multiply(V_6,inverse(C)))))
% Current number of equations to process: 1698
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [1169]
% inverse(multiply(multiply(inverse(A),B),C)) <->
% multiply(inverse(multiply(D,multiply(multiply(inverse(D),B),C))),A)
% Current number of equations to process: 1699
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [1170]
% multiply(inverse(multiply(D,multiply(multiply(inverse(D),B),C))),A) <->
% inverse(multiply(multiply(inverse(A),B),C))
% Current number of equations to process: 1699
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [1171]
% multiply(A,multiply(multiply(inverse(B),C),multiply(multiply(multiply(
% inverse(C),B),D),V_4)))
% <-> multiply(multiply(A,D),V_4)
% Current number of equations to process: 1698
% Current number of ordered equations: 1
% Current number of rules: 122
% Rule [1162]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(D,V_4))),V_5)))
% <->
% multiply(V_6,multiply(multiply(multiply(inverse(multiply(inverse(A),V_6)),C),D),
% multiply(V_4,V_5))) is composed into [1162]
% multiply(A,multiply(B,
% multiply(
% multiply(
% inverse(B),
% multiply(C,
% multiply(D,V_4))),V_5)))
% <->
% multiply(V_6,multiply(
% multiply(
% inverse(
% multiply(
% inverse(A),V_6)),C),
% multiply(
% multiply(
% inverse(c3),c3),
% multiply(
% multiply(
% multiply(
% inverse(c3),c3),D),
% multiply(V_4,V_5)))))
% New rule produced :
% [1172]
% multiply(multiply(A,D),V_4) <->
% multiply(A,multiply(multiply(inverse(B),C),multiply(multiply(multiply(
% inverse(C),B),D),V_4)))
% Rule
% [1134]
% multiply(multiply(multiply(multiply(A,B),inverse(multiply(C,multiply(V_4,B)))),C),V_4)
% -> A collapsed.
% Rule
% [1163]
% multiply(V_6,multiply(multiply(multiply(inverse(multiply(inverse(A),V_6)),C),D),
% multiply(V_4,V_5))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(D,V_4))),V_5)))
% collapsed.
% Current number of equations to process: 1699
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [1173]
% multiply(A,inverse(multiply(inverse(B),multiply(C,D)))) <->
% multiply(inverse(multiply(C,multiply(D,inverse(A)))),B)
% Current number of equations to process: 1700
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [1174]
% multiply(inverse(multiply(C,multiply(D,inverse(A)))),B) <->
% multiply(A,inverse(multiply(inverse(B),multiply(C,D))))
% Current number of equations to process: 1700
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [1175]
% inverse(multiply(inverse(V_4),multiply(inverse(c3),multiply(multiply(c3,D),
% inverse(multiply(A,
% multiply(B,C)))))))
% <-> multiply(A,multiply(B,multiply(C,multiply(inverse(D),V_4))))
% Current number of equations to process: 1699
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [1176]
% multiply(A,multiply(B,multiply(C,multiply(inverse(D),V_4)))) <->
% inverse(multiply(inverse(V_4),multiply(inverse(c3),multiply(multiply(c3,D),
% inverse(multiply(A,
% multiply(B,C)))))))
% Current number of equations to process: 1699
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [1177]
% multiply(A,multiply(multiply(inverse(B),C),multiply(multiply(multiply(
% inverse(C),B),
% multiply(multiply(
% inverse(A),D),V_4)),V_5)))
% -> multiply(D,multiply(V_4,V_5))
% Current number of equations to process: 1699
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [1178]
% multiply(multiply(inverse(A),B),multiply(C,multiply(multiply(inverse(C),
% multiply(multiply(
% multiply(
% inverse(B),A),D),V_4)),V_5)))
% -> multiply(D,multiply(V_4,V_5))
% Current number of equations to process: 1699
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [1179]
% inverse(multiply(multiply(inverse(A),B),C)) <->
% multiply(inverse(C),multiply(inverse(B),A))
% Current number of equations to process: 1699
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [1180]
% multiply(inverse(C),multiply(inverse(B),A)) <->
% inverse(multiply(multiply(inverse(A),B),C))
% Current number of equations to process: 1699
% Current number of ordered equations: 0
% Current number of rules: 129
% Rule [1180]
% multiply(inverse(C),multiply(inverse(B),A)) <->
% inverse(multiply(multiply(inverse(A),B),C)) is composed into [1180]
% multiply(
% inverse(C),
% multiply(
% inverse(B),A))
% <->
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,B),C))))
% Rule [1172]
% multiply(multiply(A,D),V_4) <->
% multiply(A,multiply(multiply(inverse(B),C),multiply(multiply(multiply(
% inverse(C),B),D),V_4))) is composed into
% [1172]
% multiply(multiply(A,D),V_4) <->
% multiply(A,multiply(inverse(B),multiply(inverse(B),multiply(multiply(B,C),
% multiply(inverse(C),
% multiply(inverse(c3),
% multiply(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,B),D))),V_4)))))))
% Rule [1165]
% multiply(D,multiply(V_4,multiply(V_5,multiply(V_6,inverse(C))))) <->
% multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(A),D),V_4)),
% multiply(V_5,V_6))))))) is composed into
% [1165]
% multiply(D,multiply(V_4,multiply(V_5,multiply(V_6,inverse(C))))) <->
% multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),
% multiply(inverse(B),
% multiply(multiply(B,
% multiply(inverse(A),
% multiply(inverse(c3),
% multiply(multiply(c3,D),V_4)))),
% multiply(V_5,V_6)))))))))
% Rule [1164]
% multiply(D,multiply(multiply(V_4,multiply(V_5,inverse(C))),V_6)) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,
% inverse(
% multiply(
% multiply(
% inverse(A),D),
% multiply(V_4,V_5)))))),V_6))) is composed into
% [1164]
% multiply(D,multiply(multiply(V_4,multiply(V_5,inverse(C))),V_6)) <->
% multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(
% multiply(B,
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,D),
% multiply(V_4,V_5)))))))),V_6)))))
% Rule [1160]
% multiply(D,multiply(multiply(V_4,inverse(C)),V_5)) <->
% multiply(A,multiply(B,multiply(inverse(multiply(C,inverse(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(A),D),V_4))))),V_5))) is composed into
% [1160]
% multiply(D,multiply(multiply(V_4,inverse(C)),V_5)) <->
% multiply(A,multiply(B,multiply(inverse(multiply(C,inverse(multiply(inverse(B),
% multiply(inverse(A),
% multiply(inverse(c3),
% multiply(multiply(c3,D),V_4))))))),V_5)))
% Rule [1158]
% multiply(D,multiply(V_4,multiply(V_5,inverse(B)))) <->
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(multiply(
% multiply(
% inverse(A),D),V_4),
% multiply(V_5,C))))))) is composed into
% [1158]
% multiply(D,multiply(V_4,multiply(V_5,inverse(B)))) <->
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(inverse(A),
% multiply(inverse(c3),
% multiply(multiply(c3,
% multiply(inverse(c3),
% multiply(multiply(c3,D),V_4))),
% multiply(V_5,C)))))))))
% Rule [1153]
% multiply(multiply(V_5,multiply(inverse(multiply(A,V_5)),B)),C) ->
% multiply(multiply(inverse(A),B),C) is composed into [1153]
% multiply(multiply(V_5,
% multiply(
% inverse(
% multiply(A,V_5)),B)),C)
% ->
% multiply(inverse(A),
% multiply(inverse(c3),
% multiply(multiply(c3,B),C)))
% Rule [1113]
% multiply(multiply(A,D),multiply(V_4,multiply(V_5,inverse(C)))) <->
% multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(multiply(
% inverse(B),D),
% multiply(V_4,V_5))))))) is composed into
% [1113]
% multiply(multiply(A,D),multiply(V_4,multiply(V_5,inverse(C)))) <->
% multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(inverse(B),
% multiply(inverse(B),
% multiply(multiply(B,D),
% multiply(V_4,V_5)))))))))
% New rule produced :
% [1181]
% multiply(multiply(A,C),D) <->
% multiply(A,multiply(inverse(B),multiply(multiply(B,C),D)))
% Rule
% [337]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),D))) <->
% multiply(multiply(A,C),D) collapsed.
% Rule
% [741]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% <-> multiply(C,multiply(V_5,inverse(multiply(inverse(multiply(D,V_4)),V_5))))
% collapsed.
% Rule
% [775]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),D)),V_4)))
% -> multiply(C,inverse(inverse(multiply(D,V_4)))) collapsed.
% Rule
% [1048]
% multiply(B,multiply(C,multiply(multiply(inverse(C),inverse(B)),A))) -> A
% collapsed.
% Rule
% [1056]
% multiply(multiply(B,multiply(multiply(inverse(B),C),D)),V_4) ->
% multiply(C,multiply(D,V_4)) collapsed.
% Rule
% [1068]
% multiply(multiply(A,V_4),inverse(V_5)) <->
% multiply(A,multiply(inverse(D),multiply(multiply(D,V_4),inverse(V_5))))
% collapsed.
% Rule
% [1069]
% multiply(multiply(A,V_4),multiply(multiply(inverse(multiply(inverse(B),V_4)),C),D))
% -> multiply(A,multiply(multiply(B,C),D)) collapsed.
% Rule
% [1070]
% multiply(multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),C),D))),V_4)
% <-> multiply(A,multiply(B,multiply(multiply(multiply(inverse(B),C),D),V_4)))
% collapsed.
% Rule
% [1071]
% multiply(A,multiply(B,multiply(multiply(multiply(inverse(B),C),D),V_4))) <->
% multiply(multiply(A,multiply(V_5,multiply(multiply(inverse(V_5),C),D))),V_4)
% collapsed.
% Rule
% [1072]
% multiply(A,multiply(B,multiply(multiply(multiply(inverse(B),C),D),V_4))) <->
% multiply(multiply(A,C),multiply(V_5,multiply(multiply(inverse(V_5),D),V_4)))
% collapsed.
% Rule
% [1073]
% multiply(multiply(A,C),multiply(V_5,multiply(multiply(inverse(V_5),D),V_4)))
% <-> multiply(A,multiply(B,multiply(multiply(multiply(inverse(B),C),D),V_4)))
% collapsed.
% Rule
% [1087]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),A),V_4))) -> V_4
% collapsed.
% Rule
% [1112]
% multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(B),D),
% multiply(V_4,V_5))))))) <->
% multiply(multiply(A,D),multiply(V_4,multiply(V_5,inverse(C)))) collapsed.
% Rule
% [1120]
% multiply(A,multiply(multiply(inverse(C),inverse(V_5)),multiply(V_5,C))) -> A
% collapsed.
% Rule
% [1123]
% multiply(multiply(inverse(A),B),multiply(C,multiply(multiply(inverse(C),
% inverse(multiply(V_4,
% multiply(
% inverse(multiply(A,V_4)),B)))),V_5)))
% -> V_5 collapsed.
% Rule
% [1124]
% multiply(inverse(V_5),inverse(multiply(multiply(inverse(B),inverse(V_4)),
% multiply(V_4,inverse(V_5))))) -> B collapsed.
% Rule
% [1129]
% multiply(B,multiply(C,inverse(multiply(C,multiply(C,inverse(multiply(
% multiply(
% inverse(D),
% multiply(
% multiply(D,V_4),
% inverse(multiply(V_6,V_4)))),
% multiply(V_6,C))))))))
% -> B collapsed.
% Rule
% [1131]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(A),
% multiply(inverse(c3),
% multiply(multiply(c3,C),
% inverse(D))))),V_4))) ->
% multiply(C,multiply(inverse(D),V_4)) collapsed.
% Rule
% [1132] multiply(multiply(multiply(B,C),inverse(multiply(V_5,C))),V_5) -> B
% collapsed.
% Rule
% [1133]
% multiply(multiply(multiply(A,B),inverse(multiply(D,multiply(V_4,B)))),
% multiply(D,V_4)) -> A collapsed.
% Rule
% [1140]
% multiply(multiply(A,C),multiply(inverse(c3),multiply(multiply(c3,inverse(D)),
% inverse(V_4)))) <->
% multiply(A,multiply(inverse(c3),multiply(multiply(c3,C),multiply(inverse(c3),
% multiply(multiply(c3,
% inverse(D)),
% inverse(V_4))))))
% collapsed.
% Rule
% [1142]
% multiply(multiply(A,inverse(D)),multiply(V_4,multiply(multiply(inverse(V_4),
% multiply(D,inverse(A))),V_5)))
% -> V_5 collapsed.
% Rule
% [1146]
% multiply(A,multiply(multiply(inverse(A),B),multiply(C,D))) ->
% multiply(B,multiply(C,D)) collapsed.
% Rule
% [1149]
% inverse(multiply(C,multiply(C,inverse(multiply(multiply(multiply(B,C),
% inverse(V_4)),multiply(V_4,C))))))
% -> B collapsed.
% Rule
% [1154]
% multiply(A,multiply(B,multiply(V_4,multiply(multiply(inverse(V_4),C),D))))
% <-> multiply(A,multiply(B,multiply(c3,multiply(multiply(inverse(c3),C),D))))
% collapsed.
% Rule
% [1155]
% multiply(A,multiply(B,multiply(c3,multiply(multiply(inverse(c3),C),D)))) <->
% multiply(A,multiply(B,multiply(V_4,multiply(multiply(inverse(V_4),C),D))))
% collapsed.
% Rule
% [1156]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% multiply(
% inverse(A),C),D),V_4)),V_5)))
% -> multiply(C,multiply(D,multiply(V_4,V_5))) collapsed.
% Rule
% [1157]
% multiply(multiply(A,V_5),multiply(V_6,multiply(multiply(inverse(V_6),
% multiply(multiply(inverse(
% multiply(
% inverse(B),V_5)),C),D)),V_4)))
% -> multiply(A,multiply(B,multiply(C,multiply(D,V_4)))) collapsed.
% Rule
% [1159]
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(multiply(multiply(
% inverse(A),D),V_4),
% multiply(V_5,C))))))) <->
% multiply(D,multiply(V_4,multiply(V_5,inverse(B)))) collapsed.
% Rule
% [1161]
% multiply(A,multiply(B,multiply(inverse(multiply(C,inverse(multiply(inverse(B),
% multiply(multiply(
% inverse(A),D),V_4))))),V_5)))
% <-> multiply(D,multiply(multiply(V_4,inverse(C)),V_5)) collapsed.
% Rule
% [1162]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(D,V_4))),V_5)))
% <->
% multiply(V_6,multiply(multiply(inverse(multiply(inverse(A),V_6)),C),multiply(
% multiply(
% inverse(c3),c3),
% multiply(
% multiply(
% multiply(
% inverse(c3),c3),D),
% multiply(V_4,V_5)))))
% collapsed.
% Rule
% [1166]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(inverse(multiply(C,
% inverse(
% multiply(
% inverse(A),
% multiply(D,V_4))))),V_5)),V_6)))
% -> multiply(multiply(D,multiply(V_4,inverse(C))),multiply(V_5,V_6))
% collapsed.
% Rule
% [1167]
% multiply(A,multiply(B,multiply(multiply(inverse(B),inverse(multiply(C,
% inverse(multiply(
% multiply(
% inverse(A),D),
% multiply(V_4,V_5)))))),V_6)))
% <-> multiply(D,multiply(multiply(V_4,multiply(V_5,inverse(C))),V_6))
% collapsed.
% Rule
% [1168]
% multiply(A,multiply(B,inverse(multiply(C,inverse(multiply(multiply(inverse(B),
% multiply(multiply(
% inverse(A),D),V_4)),
% multiply(V_5,V_6))))))) <->
% multiply(D,multiply(V_4,multiply(V_5,multiply(V_6,inverse(C))))) collapsed.
% Rule
% [1169]
% inverse(multiply(multiply(inverse(A),B),C)) <->
% multiply(inverse(multiply(D,multiply(multiply(inverse(D),B),C))),A)
% collapsed.
% Rule
% [1170]
% multiply(inverse(multiply(D,multiply(multiply(inverse(D),B),C))),A) <->
% inverse(multiply(multiply(inverse(A),B),C)) collapsed.
% Rule
% [1171]
% multiply(A,multiply(multiply(inverse(B),C),multiply(multiply(multiply(
% inverse(C),B),D),V_4)))
% <-> multiply(multiply(A,D),V_4) collapsed.
% Rule
% [1177]
% multiply(A,multiply(multiply(inverse(B),C),multiply(multiply(multiply(
% inverse(C),B),
% multiply(multiply(
% inverse(A),D),V_4)),V_5)))
% -> multiply(D,multiply(V_4,V_5)) collapsed.
% Rule
% [1178]
% multiply(multiply(inverse(A),B),multiply(C,multiply(multiply(inverse(C),
% multiply(multiply(
% multiply(
% inverse(B),A),D),V_4)),V_5)))
% -> multiply(D,multiply(V_4,V_5)) collapsed.
% Rule
% [1179]
% inverse(multiply(multiply(inverse(A),B),C)) <->
% multiply(inverse(C),multiply(inverse(B),A)) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% multiply(a3,multiply(inverse(c3),inverse(multiply(inverse(c3),inverse(
% multiply(c3,b3)))))) =
% multiply(a3,multiply(b3,c3))
%
% Current number of equations to process: 1733
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [1182]
% multiply(multiply(B,C),multiply(inverse(B),inverse(multiply(inverse(V_5),
% inverse(multiply(B,
% inverse(multiply(V_5,C))))))))
% -> B
% Current number of equations to process: 1732
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [1183]
% multiply(B,multiply(inverse(c3),multiply(multiply(c3,inverse(B)),A))) -> A
% Rule
% [1091]
% multiply(D,multiply(inverse(c3),multiply(multiply(c3,inverse(D)),inverse(C))))
% -> inverse(C) collapsed.
% Current number of equations to process: 1730
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [1184]
% multiply(A,multiply(inverse(C),multiply(inverse(c3),multiply(multiply(c3,
% inverse(V_5)),
% multiply(V_5,C))))) -> A
% Current number of equations to process: 1729
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [1185]
% multiply(inverse(A),multiply(inverse(B),multiply(multiply(B,A),V_4))) -> V_4
% Rule
% [1094]
% multiply(inverse(C),multiply(inverse(D),multiply(multiply(D,C),inverse(B))))
% -> inverse(B) collapsed.
% Current number of equations to process: 1728
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [1186]
% multiply(inverse(B),multiply(inverse(B),multiply(multiply(B,multiply(
% multiply(B,C),D)),V_4)))
% -> multiply(C,multiply(D,V_4))
% Current number of equations to process: 1726
% Current number of ordered equations: 0
% Current number of rules: 93
% Rule [1164]
% multiply(D,multiply(multiply(V_4,multiply(V_5,inverse(C))),V_6)) <->
% multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(
% multiply(B,
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(A),
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,D),
% multiply(V_4,V_5)))))))),V_6))))) is composed into
% [1164]
% multiply(D,multiply(multiply(V_4,multiply(V_5,inverse(C))),V_6)) <->
% multiply(A,multiply(B,multiply(inverse(B),multiply(inverse(B),multiply(
% multiply(B,
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(A),
% multiply(D,
% multiply(V_4,V_5))))))),V_6)))))
% Rule [1158]
% multiply(D,multiply(V_4,multiply(V_5,inverse(B)))) <->
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(inverse(A),
% multiply(inverse(c3),
% multiply(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,D),V_4))),
% multiply(V_5,C))))))))) is composed into
% [1158]
% multiply(D,multiply(V_4,multiply(V_5,inverse(B)))) <->
% multiply(A,inverse(multiply(B,multiply(C,inverse(multiply(inverse(A),
% multiply(multiply(inverse(c3),
% multiply(multiply(c3,D),V_4)),
% multiply(V_5,C))))))))
% New rule produced :
% [1187]
% multiply(inverse(c3),multiply(multiply(c3,B),multiply(C,D))) ->
% multiply(B,multiply(C,D))
% Rule
% [1075]
% multiply(inverse(c3),multiply(multiply(c3,B),multiply(inverse(C),inverse(
% multiply(
% inverse(D),
% multiply(
% inverse(D),
% multiply(
% multiply(D,B),
% inverse(C))))))))
% -> D collapsed.
% Rule
% [1139]
% multiply(A,multiply(inverse(c3),multiply(multiply(c3,C),multiply(inverse(c3),
% multiply(multiply(c3,
% inverse(D)),
% inverse(V_4)))))) <->
% multiply(multiply(A,C),multiply(inverse(c3),multiply(multiply(c3,inverse(D)),
% inverse(V_4)))) collapsed.
% Rule
% [1152]
% multiply(A,multiply(inverse(c3),multiply(multiply(c3,D),multiply(inverse(D),
% multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),
% multiply(A,D)))),
% inverse(multiply(
% inverse(V_5),V_4)))))))
% -> V_5 collapsed.
% Rule
% [1184]
% multiply(A,multiply(inverse(C),multiply(inverse(c3),multiply(multiply(c3,
% inverse(V_5)),
% multiply(V_5,C))))) -> A
% collapsed.
% Current number of equations to process: 1728
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [1188]
% multiply(A,multiply(inverse(B),multiply(multiply(B,multiply(inverse(A),
% multiply(inverse(c3),
% multiply(multiply(c3,C),D)))),V_4)))
% -> multiply(C,multiply(D,V_4))
% Current number of equations to process: 1726
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [1189]
% multiply(inverse(A),multiply(inverse(B),multiply(multiply(B,multiply(
% multiply(A,C),D)),V_4)))
% -> multiply(C,multiply(D,V_4))
% Rule
% [1186]
% multiply(inverse(B),multiply(inverse(B),multiply(multiply(B,multiply(
% multiply(B,C),D)),V_4)))
% -> multiply(C,multiply(D,V_4)) collapsed.
% Current number of equations to process: 1726
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [1190]
% multiply(B,multiply(inverse(C),inverse(multiply(inverse(D),multiply(inverse(D),
% multiply(multiply(D,B),
% inverse(C)))))))
% -> D
% Current number of equations to process: 1725
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [1191]
% multiply(inverse(V_5),inverse(multiply(inverse(B),multiply(inverse(B),
% multiply(multiply(B,
% inverse(V_4)),
% multiply(V_4,inverse(V_5)))))))
% -> B
% Current number of equations to process: 1724
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [1192]
% multiply(multiply(A,B),multiply(inverse(B),inverse(multiply(inverse(multiply(D,V_4)),
% inverse(multiply(B,
% inverse(multiply(D,
% multiply(V_4,B)))))))))
% -> A
% Current number of equations to process: 1723
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [1193]
% multiply(multiply(A,C),multiply(inverse(c3),multiply(multiply(c3,inverse(D)),
% inverse(V_4)))) ->
% multiply(A,multiply(C,multiply(inverse(c3),multiply(multiply(c3,inverse(D)),
% inverse(V_4)))))
% Current number of equations to process: 1722
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [1194]
% multiply(multiply(A,inverse(D)),multiply(inverse(c3),multiply(multiply(c3,
% multiply(D,
% inverse(A))),V_5)))
% -> V_5
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [1195]
% inverse(multiply(C,multiply(C,inverse(multiply(multiply(B,C),multiply(
% inverse(B),
% multiply(
% multiply(B,
% inverse(V_4)),
% multiply(V_4,C))))))))
% -> B
% Current number of equations to process: 1720
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [1196]
% multiply(multiply(A,V_4),multiply(inverse(multiply(inverse(B),V_4)),multiply(
% inverse(B),
% multiply(
% multiply(B,C),D))))
% -> multiply(A,multiply(multiply(B,C),D))
% Current number of equations to process: 1719
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [1197]
% inverse(multiply(inverse(A),multiply(inverse(c3),multiply(multiply(c3,B),C))))
% <-> multiply(inverse(multiply(inverse(c3),multiply(multiply(c3,B),C))),A)
% Current number of equations to process: 1718
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [1198]
% multiply(inverse(multiply(inverse(c3),multiply(multiply(c3,B),C))),A) <->
% inverse(multiply(inverse(A),multiply(inverse(c3),multiply(multiply(c3,B),C))))
% Current number of equations to process: 1718
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [1199]
% multiply(A,multiply(multiply(D,inverse(multiply(inverse(V_4),multiply(A,D)))),
% inverse(multiply(inverse(V_5),V_4)))) -> V_5
% Current number of equations to process: 1717
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [1200]
% inverse(multiply(inverse(D),inverse(multiply(A,multiply(B,C))))) <->
% multiply(A,multiply(B,multiply(C,D)))
% Current number of equations to process: 1717
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [1201]
% multiply(A,multiply(B,multiply(C,D))) <->
% inverse(multiply(inverse(D),inverse(multiply(A,multiply(B,C)))))
% Current number of equations to process: 1717
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [1202] inverse(multiply(inverse(A),B)) <-> multiply(inverse(B),A)
% Rule
% [1197]
% inverse(multiply(inverse(A),multiply(inverse(c3),multiply(multiply(c3,B),C))))
% <-> multiply(inverse(multiply(inverse(c3),multiply(multiply(c3,B),C))),A)
% collapsed.
% Current number of equations to process: 1717
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [1203] multiply(inverse(B),A) <-> inverse(multiply(inverse(A),B))
% Rule
% [821]
% inverse(multiply(inverse(A),B)) <-> inverse(inverse(multiply(inverse(B),A)))
% collapsed.
% Rule [1041] multiply(inverse(multiply(A,V_4)),A) -> inverse(V_4) collapsed.
% Rule
% [1198]
% multiply(inverse(multiply(inverse(c3),multiply(multiply(c3,B),C))),A) <->
% inverse(multiply(inverse(A),multiply(inverse(c3),multiply(multiply(c3,B),C))))
% collapsed.
% Current number of equations to process: 1717
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [1204]
% multiply(C,multiply(D,inverse(B))) <->
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,multiply(C,D))))))
% Current number of equations to process: 1717
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [1205]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,multiply(C,D))))))
% <-> multiply(C,multiply(D,inverse(B)))
% Current number of equations to process: 1717
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [1206]
% inverse(multiply(C,inverse(multiply(A,multiply(B,C))))) -> multiply(A,B)
% Rule
% [1054]
% multiply(D,inverse(multiply(inverse(V_5),inverse(multiply(inverse(D),
% multiply(C,inverse(V_5)))))))
% -> C collapsed.
% Rule
% [1144]
% inverse(multiply(inverse(D),inverse(multiply(B,inverse(multiply(D,multiply(
% inverse(V_4),B)))))))
% -> V_4 collapsed.
% Rule
% [1192]
% multiply(multiply(A,B),multiply(inverse(B),inverse(multiply(inverse(multiply(D,V_4)),
% inverse(multiply(B,
% inverse(multiply(D,
% multiply(V_4,B)))))))))
% -> A collapsed.
% Current number of equations to process: 1717
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [1207]
% inverse(multiply(multiply(C,D),inverse(multiply(A,multiply(B,D))))) <->
% multiply(A,multiply(B,inverse(C)))
% Current number of equations to process: 1718
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [1208]
% multiply(A,multiply(B,inverse(C))) <->
% inverse(multiply(multiply(C,D),inverse(multiply(A,multiply(B,D)))))
% Current number of equations to process: 1718
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [1209]
% multiply(multiply(A,multiply(B,inverse(C))),multiply(C,inverse(multiply(D,
% multiply(A,B)))))
% -> inverse(D)
% Current number of equations to process: 1717
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [1210]
% inverse(multiply(C,inverse(multiply(A,B)))) <->
% multiply(A,multiply(B,inverse(C)))
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 1719
% Current number of ordered equations: 2
% Current number of rules: 105
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 33 rules have been used:
% [1]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(D,
% multiply(A,C)))))))
% -> D; trace = in the starting set
% [2] inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% multiply(
% inverse(A),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D))))
% -> V_4; trace = Self cp of 1
% [4] inverse(multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(B,D)))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,
% multiply(A,V_5)))))))
% -> V_6; trace = Self cp of 1
% [7] multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(
% multiply(
% inverse(C),
% multiply(c3,c3))))))
% -> C; trace = Cp of 2 and 1
% [8] multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(
% multiply(C,
% multiply(c3,c3))))))
% <->
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8)))))); trace = Cp of 4 and 2
% [10] multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% ->
% multiply(c3,multiply(c3,multiply(multiply(inverse(c3),c3),inverse(
% multiply(A,
% multiply(c3,c3)))))); trace = Cp of 7 and 2
% [11] inverse(multiply(c3,multiply(A,multiply(multiply(inverse(A),multiply(c3,
% multiply(
% multiply(
% inverse(c3),c3),
% inverse(
% multiply(
% inverse(B),
% multiply(c3,c3)))))),
% inverse(multiply(C,B)))))) -> C; trace = Cp of 7 and 1
% [12] multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(
% inverse(A),
% multiply(B,D))))))
% -> A; trace = Cp of 8 and 7
% [14] multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(
% inverse(C)),D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> C; trace = Cp of 12 and 10
% [15] multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),V_5),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_5)))))))))))
% -> D; trace = Self cp of 12
% [18] multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(C),B)))))
% -> C; trace = Cp of 15 and 12
% [19] multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(
% multiply(C,
% multiply(D,V_5))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))); trace = Cp of 18 and 1
% [21] inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4)))))))))))
% -> D; trace = Cp of 18 and 1
% [22] multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(
% inverse(V_4),C))))),D)))
% -> V_4; trace = Cp of 18 and 1
% [23] multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),C)))),
% inverse(D)))) -> B; trace = Self cp of 18
% [26] multiply(A,multiply(multiply(inverse(c3),multiply(c3,multiply(c3,
% inverse(multiply(V_4,c3))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),
% multiply(A,V_5)))))) ->
% V_6; trace = Cp of 12 and 1
% [34] multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4)))))))))); trace = Cp of 19 and 18
% [39] inverse(multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))))
% -> C; trace = Cp of 21 and 18
% [41] multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(B,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D)))
% -> V_4; trace = Cp of 21 and 18
% [43] multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),
% inverse(multiply(multiply(C,
% inverse(multiply(
% inverse(D),C))),
% multiply(inverse(V_4),B))))))),D)
% -> V_4; trace = Cp of 22 and 18
% [44] multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,C)))),D)))
% -> B; trace = Cp of 23 and 11
% [48] multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(
% inverse(B)),C),
% inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),
% multiply(V_4,V_5))) -> B; trace = Cp of 18 and 14
% [59] multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% -> D; trace = Cp of 26 and 18
% [68] multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(
% multiply(D,C)))),D)),
% inverse(inverse(V_4))))) -> V_4; trace = Cp of 34 and 22
% [88] multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(
% multiply(C,
% inverse(multiply(
% inverse(D),C))),B)))))),D)
% -> A; trace = Cp of 44 and 18
% [98] multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(A,C),inverse(D)))); trace = Cp of 43 and 19
% [124] multiply(inverse(B),B) <-> multiply(inverse(A),A); trace = Cp of 48 and 10
% [337] multiply(A,multiply(B,multiply(multiply(inverse(B),C),D))) <->
% multiply(multiply(A,C),D); trace = Cp of 98 and 39
% [428] multiply(A,multiply(B,multiply(C,inverse(D)))) <->
% inverse(multiply(D,multiply(V_4,inverse(multiply(multiply(A,multiply(B,
% inverse(
% inverse(C)))),V_4))))); trace = Cp of 88 and 59
% [1013] inverse(inverse(V_5)) -> V_5; trace = Cp of 44 and 41
% [1036] multiply(multiply(A,inverse(A)),D) -> D; trace = Cp of 124 and 68
% [1181] multiply(multiply(A,C),D) <->
% multiply(A,multiply(inverse(B),multiply(multiply(B,C),D))); trace = Cp of 1013 and 337
% [1210] inverse(multiply(C,inverse(multiply(A,B)))) <->
% multiply(A,multiply(B,inverse(C))); trace = Cp of 1036 and 428
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 281.590000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------