TSTP Solution File: GRP444-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP444-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n074.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 00:23:10 EDT 2014
% Result : Unsatisfiable 27.19s
% Output : Refutation 27.19s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP444-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n074.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 13:36:48 CDT 2014
% % CPUTime : 27.19
% Processing problem /tmp/CiME_32204_n074.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(C,inverse(C)),inverse(multiply(D,multiply(A,B))))))) = 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(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(A,B)))))))
% = 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(C,inverse(C)),inverse(
% multiply(D,
% multiply(A,B)))))))
% -> 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(multiply(multiply(B,inverse(B)),inverse(multiply(C,
% multiply(D,A)))),
% multiply(multiply(V_4,inverse(V_4)),C)))) -> D
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(
% multiply(C,
% inverse(C)),D),
% multiply(multiply(V_4,
% inverse(V_4)),V_5))))
% <-> multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5))))
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5)))) <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(B,multiply(D,V_5))))
% Current number of equations to process: 7
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [5]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(B,multiply(D,V_5)))) <->
% multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5))))
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% multiply(multiply(B,inverse(B)),A) <-> multiply(multiply(c3,inverse(c3)),A)
% Rule
% [4]
% multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5)))) <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(B,multiply(D,V_5))))
% collapsed.
% Current number of equations to process: 15
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced :
% [7]
% multiply(multiply(c3,inverse(c3)),A) <-> multiply(multiply(B,inverse(B)),A)
% Rule
% [5]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(B,multiply(D,V_5)))) <->
% multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5))))
% collapsed.
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [8] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3))
% Rule
% [6]
% multiply(multiply(B,inverse(B)),A) <-> multiply(multiply(c3,inverse(c3)),A)
% collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [9]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(c3)))) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [10]
% inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))))))
% -> C
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [11]
% multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(D,
% multiply(A,B)))))),D)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [12]
% multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(inverse(multiply(D,
% multiply(A,
% multiply(
% multiply(V_4,
% inverse(V_4)),C)))),D))))
% -> A
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [13]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(A,
% multiply(c3,
% inverse(c3)))),
% multiply(A,B)))) -> inverse(B)
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [14]
% multiply(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))))),C)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [15]
% inverse(multiply(A,multiply(B,multiply(multiply(multiply(c3,inverse(c3)),
% inverse(multiply(C,inverse(C)))),
% inverse(multiply(D,multiply(A,B))))))) -> D
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [16]
% inverse(multiply(A,multiply(multiply(c3,inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(C,
% multiply(A,
% multiply(D,
% inverse(D)))))))))
% -> C
% Current number of equations to process: 57
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced :
% [17]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(multiply(c3,
% inverse(c3)),B)))))))
% -> D
% Current number of equations to process: 54
% Current number of ordered equations: 2
% Current number of rules: 14
% New rule produced :
% [18]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(A,multiply(multiply(B,
% inverse(B)),
% inverse(multiply(C,
% multiply(
% multiply(D,
% inverse(D)),A)))))))
% -> C
% Current number of equations to process: 54
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [19]
% inverse(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(A,
% multiply(c3,
% inverse(c3)))))))))
% -> D
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [20]
% multiply(C,multiply(D,multiply(multiply(V_4,inverse(V_4)),inverse(multiply(
% multiply(A,B),
% multiply(C,D))))))
% -> inverse(multiply(A,multiply(B,multiply(c3,inverse(c3)))))
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [21]
% inverse(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3))))) <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% Current number of equations to process: 70
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [22]
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))) <->
% inverse(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3)))))
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [23]
% inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,inverse(c3))))),
% multiply(multiply(D,inverse(D)),C)))) -> A
% Current number of equations to process: 68
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [24]
% inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(
% inverse(
% multiply(C,
% inverse(C))),
% multiply(D,A)))),
% multiply(c3,inverse(c3))))) -> D
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [25]
% multiply(multiply(C,inverse(C)),B) <-> multiply(multiply(A,inverse(A)),B)
% Rule
% [7]
% multiply(multiply(c3,inverse(c3)),A) <-> multiply(multiply(B,inverse(B)),A)
% collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [26]
% inverse(multiply(inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),D)))),
% multiply(A,B))) -> D
% Current number of equations to process: 72
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [27]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,D))),
% multiply(B,C)))) -> D
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [28]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% inverse(c3)))),
% multiply(B,C)))) -> inverse(C)
% Rule
% [13]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(A,
% multiply(c3,
% inverse(c3)))),
% multiply(A,B)))) -> inverse(B)
% collapsed.
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [29]
% multiply(multiply(inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),D)))),
% multiply(A,B)),D) -> multiply(c3,inverse(c3))
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [30]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(inverse(multiply(C,multiply(D,
% multiply(c3,
% inverse(c3))))),C))))
% -> D
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [31]
% multiply(C,multiply(inverse(C),multiply(multiply(D,inverse(D)),inverse(
% multiply(
% multiply(A,B),
% multiply(c3,
% inverse(c3)))))))
% -> inverse(multiply(A,multiply(B,multiply(c3,inverse(c3)))))
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [32]
% multiply(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,A)))),
% multiply(multiply(V_4,inverse(V_4)),C))),D) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [33]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(
% multiply(C,
% inverse(C)),D)))),
% multiply(multiply(c3,inverse(c3)),B))) -> D
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [34]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(A,
% multiply(multiply(c3,
% inverse(c3)),B))),
% multiply(A,multiply(C,inverse(C))))))
% -> B
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [35]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(
% multiply(c3,
% inverse(c3)),C))),
% multiply(B,multiply(D,inverse(D))))))
% -> C
% Rule
% [34]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(A,
% multiply(multiply(c3,
% inverse(c3)),B))),
% multiply(A,multiply(C,inverse(C))))))
% -> B collapsed.
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [36]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(A,
% multiply(multiply(B,
% inverse(B)),C))),
% multiply(A,multiply(c3,inverse(c3))))))
% -> C
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [37]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(
% multiply(C,
% inverse(C)),D))),
% multiply(B,multiply(c3,inverse(c3))))))
% -> D
% Rule
% [36]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(A,
% multiply(multiply(B,
% inverse(B)),C))),
% multiply(A,multiply(c3,inverse(c3))))))
% -> C collapsed.
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [38]
% inverse(multiply(inverse(multiply(multiply(c3,inverse(c3)),multiply(A,
% multiply(multiply(B,
% inverse(B)),C)))),
% multiply(multiply(D,inverse(D)),A))) -> C
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [39]
% inverse(inverse(multiply(A,multiply(B,multiply(c3,inverse(c3)))))) ->
% multiply(A,B)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [40]
% multiply(inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))),multiply(A,B))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [41]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(c3,
% inverse(c3))),
% multiply(c3,inverse(c3))))) ->
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [42]
% multiply(inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),
% multiply(D,V_4))))),multiply(A,B)) ->
% inverse(multiply(D,multiply(V_4,multiply(c3,inverse(c3)))))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [43]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(c3,
% inverse(c3))),
% multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))))))
% -> C
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [44]
% inverse(multiply(A,multiply(inverse(A),multiply(multiply(multiply(c3,
% inverse(c3)),
% inverse(multiply(B,inverse(B)))),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))))))
% -> C
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [45]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,
% inverse(A))),
% multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))))))
% -> C
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [46]
% multiply(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3)))),inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(c3))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [47]
% inverse(multiply(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3)))),
% multiply(c3,inverse(c3)))) ->
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [48]
% inverse(multiply(inverse(A),multiply(multiply(c3,inverse(c3)),multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(c3)))))))))
% -> A
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [49]
% inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),multiply(
% multiply(C,
% inverse(C)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(c3)))))))))
% -> A
% Rule
% [48]
% inverse(multiply(inverse(A),multiply(multiply(c3,inverse(c3)),multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(c3)))))))))
% -> A collapsed.
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [50]
% multiply(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))),
% inverse(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3)))))) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [51]
% inverse(multiply(inverse(c3),multiply(multiply(c3,inverse(c3)),multiply(
% multiply(A,
% inverse(A)),
% inverse(
% multiply(B,
% multiply(
% inverse(B),
% multiply(c3,
% inverse(c3)))))))))
% -> c3
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [52]
% inverse(multiply(inverse(c3),multiply(multiply(A,inverse(A)),multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(C,
% multiply(
% inverse(C),
% multiply(c3,
% inverse(c3)))))))))
% -> c3
% Rule
% [51]
% inverse(multiply(inverse(c3),multiply(multiply(c3,inverse(c3)),multiply(
% multiply(A,
% inverse(A)),
% inverse(
% multiply(B,
% multiply(
% inverse(B),
% multiply(c3,
% inverse(c3)))))))))
% -> c3 collapsed.
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [53]
% multiply(multiply(C,inverse(C)),inverse(multiply(A,multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(A,multiply(B,inverse(B)))))
% Current number of equations to process: 209
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [54]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(A,multiply(B,inverse(B)))))
% <->
% multiply(multiply(C,inverse(C)),inverse(multiply(A,multiply(c3,inverse(c3)))))
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [55]
% multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(C)))))
% Rule
% [53]
% multiply(multiply(C,inverse(C)),inverse(multiply(A,multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(A,multiply(B,inverse(B)))))
% collapsed.
% Current number of equations to process: 213
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [56]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(C)))))
% <->
% multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(c3,inverse(c3)))))
% Rule
% [54]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(A,multiply(B,inverse(B)))))
% <->
% multiply(multiply(C,inverse(C)),inverse(multiply(A,multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [57]
% multiply(A,multiply(inverse(A),multiply(c3,inverse(c3)))) <->
% multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))
% Rule
% [21]
% inverse(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3))))) <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [58]
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(D,
% inverse(D)))))))
% -> inverse(multiply(A,multiply(B,multiply(c3,inverse(c3)))))
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [59] multiply(A,inverse(A)) <-> multiply(B,inverse(B))
% Rule [8] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3)) collapsed.
% Rule
% [25]
% multiply(multiply(C,inverse(C)),B) <-> multiply(multiply(A,inverse(A)),B)
% collapsed.
% Rule
% [55]
% multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(C)))))
% collapsed.
% Rule
% [56]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(C)))))
% <->
% multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [60]
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% <->
% inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C))))
% Current number of equations to process: 259
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [61]
% inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [62]
% inverse(multiply(c3,multiply(inverse(c3),B))) <->
% inverse(multiply(A,multiply(inverse(A),B)))
% Rule
% [22]
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))) <->
% inverse(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3))))) collapsed.
% Current number of equations to process: 287
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [63]
% inverse(multiply(A,multiply(inverse(A),B))) <->
% inverse(multiply(c3,multiply(inverse(c3),B)))
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [64]
% multiply(multiply(A,multiply(inverse(A),B)),inverse(multiply(c3,multiply(
% inverse(c3),B))))
% -> multiply(c3,inverse(c3))
% Rule
% [46]
% multiply(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3)))),inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(c3))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [65]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(inverse(c3),B)))))))
% -> A
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [66]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))) ->
% multiply(c3,inverse(c3))
% Rule
% [9]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(c3)))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [15]
% inverse(multiply(A,multiply(B,multiply(multiply(multiply(c3,inverse(c3)),
% inverse(multiply(C,inverse(C)))),
% inverse(multiply(D,multiply(A,B))))))) -> D
% collapsed.
% Rule
% [44]
% inverse(multiply(A,multiply(inverse(A),multiply(multiply(multiply(c3,
% inverse(c3)),
% inverse(multiply(B,inverse(B)))),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))))))
% -> C collapsed.
% Rule
% [58]
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(D,
% inverse(D)))))))
% -> inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))) collapsed.
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [67]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4)))
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [68]
% inverse(multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(
% multiply(V_5,
% inverse(V_5)),D)))),V_4)))
% <-> inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)))
% Current number of equations to process: 312
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [69]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(
% multiply(V_5,
% inverse(V_5)),D)))),V_4)))
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [70]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(c3))))) ->
% inverse(multiply(c3,multiply(c3,inverse(c3))))
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [71]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(A,multiply(c3,
% inverse(c3)))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [72]
% multiply(multiply(A,multiply(inverse(A),inverse(inverse(c3)))),inverse(
% multiply(c3,
% multiply(c3,
% inverse(c3)))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [73]
% inverse(multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(c3,
% inverse(c3))))))))
% -> A
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [74]
% inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),multiply(D,C)))
% <->
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(C)))),multiply(A,B)))
% Current number of equations to process: 345
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [75]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(C)))),multiply(A,B)))
% <->
% inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),multiply(D,C)))
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [76]
% inverse(multiply(multiply(C,inverse(C)),inverse(multiply(B,multiply(inverse(
% multiply(D,
% multiply(c3,
% inverse(c3)))),D)))))
% <-> multiply(multiply(A,inverse(A)),B)
% Current number of equations to process: 344
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [77]
% multiply(multiply(A,inverse(A)),B) <->
% inverse(multiply(multiply(C,inverse(C)),inverse(multiply(B,multiply(inverse(
% multiply(D,
% multiply(c3,
% inverse(c3)))),D)))))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [78]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(multiply(V_4,
% inverse(V_4)),B)))))))
% -> D
% Rule
% [17]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(multiply(c3,
% inverse(c3)),B)))))))
% -> D collapsed.
% Rule
% [18]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(A,multiply(multiply(B,
% inverse(B)),
% inverse(multiply(C,
% multiply(
% multiply(D,
% inverse(D)),A)))))))
% -> C collapsed.
% Current number of equations to process: 342
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [79]
% inverse(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(A,
% multiply(V_4,
% inverse(V_4)))))))))
% -> D
% Rule
% [16]
% inverse(multiply(A,multiply(multiply(c3,inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(C,
% multiply(A,
% multiply(D,
% inverse(D)))))))))
% -> C collapsed.
% Rule
% [19]
% inverse(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(A,
% multiply(c3,
% inverse(c3)))))))))
% -> D collapsed.
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [80]
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,V_5)))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% Current number of equations to process: 339
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [81]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% <->
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,V_5)))
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [82]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(C,
% inverse(C)),B)))),D))))
% -> inverse(D)
% Current number of equations to process: 363
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [83]
% multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),D))),inverse(
% multiply(A,
% multiply(B,
% multiply(
% multiply(V_4,
% inverse(V_4)),D)))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [84]
% inverse(inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),C)))
% Current number of equations to process: 360
% Current number of ordered equations: 3
% Current number of rules: 58
% New rule produced :
% [85]
% inverse(multiply(inverse(multiply(V_4,multiply(c3,inverse(c3)))),multiply(V_4,C)))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(C))),
% multiply(B,multiply(D,inverse(D))))))
% Current number of equations to process: 360
% Current number of ordered equations: 2
% Current number of rules: 59
% New rule produced :
% [86]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),C)))
% <->
% inverse(inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4))))
% Current number of equations to process: 360
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [87]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(C))),
% multiply(B,multiply(D,inverse(D))))))
% <->
% inverse(multiply(inverse(multiply(V_4,multiply(c3,inverse(c3)))),multiply(V_4,C)))
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [88]
% multiply(multiply(A,multiply(inverse(multiply(B,multiply(multiply(multiply(C,
% inverse(C)),D),
% multiply(multiply(V_4,
% inverse(V_4)),A)))),B)),D)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [89]
% multiply(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)),inverse(
% multiply(
% inverse(
% multiply(D,
% multiply(V_4,C))),
% multiply(D,V_4))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [90]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(inverse(
% multiply(c3,
% inverse(c3))),
% multiply(multiply(B,
% inverse(B)),C)))),
% multiply(c3,inverse(c3)))) -> C
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [91]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(inverse(
% multiply(c3,
% inverse(c3))),C))),
% multiply(c3,inverse(c3))))) -> C
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [92]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(inverse(multiply(V_4,
% multiply(C,
% multiply(c3,
% inverse(c3))))),V_4)))
% Current number of equations to process: 381
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [93]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(inverse(multiply(V_4,
% multiply(C,
% multiply(c3,
% inverse(c3))))),V_4)))
% <-> inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)))
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [94]
% multiply(multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))),D)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 415
% Current number of ordered equations: 3
% Current number of rules: 68
% New rule produced :
% [95]
% multiply(multiply(multiply(c3,inverse(c3)),multiply(A,multiply(multiply(B,
% inverse(B)),
% inverse(multiply(C,
% multiply(
% multiply(D,
% inverse(D)),A)))))),C)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 415
% Current number of ordered equations: 2
% Current number of rules: 69
% New rule produced :
% [96]
% multiply(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(A,
% multiply(c3,
% inverse(c3)))))))),D)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 415
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [97]
% multiply(inverse(multiply(D,multiply(inverse(D),multiply(c3,inverse(c3))))),
% multiply(c3,inverse(c3))) -> multiply(c3,inverse(c3))
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [98]
% multiply(multiply(A,multiply(multiply(c3,inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(C,
% multiply(A,
% multiply(D,
% inverse(D)))))))),C)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [99]
% inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(c3,
% inverse(c3))))))),
% multiply(A,D))) <->
% multiply(multiply(V_4,inverse(V_4)),inverse(multiply(multiply(B,C),multiply(D,
% multiply(V_5,
% inverse(V_5))))))
% Current number of equations to process: 408
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [100]
% multiply(multiply(V_4,inverse(V_4)),inverse(multiply(multiply(B,C),multiply(D,
% multiply(V_5,
% inverse(V_5))))))
% <->
% inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(c3,
% inverse(c3))))))),
% multiply(A,D)))
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [101]
% inverse(multiply(V_4,multiply(inverse(multiply(V_5,multiply(C,multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5)))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% Current number of equations to process: 407
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [102]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% <->
% inverse(multiply(V_4,multiply(inverse(multiply(V_5,multiply(C,multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5)))
% Current number of equations to process: 407
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [103]
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4))) <->
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),
% multiply(multiply(c3,inverse(c3)),B)))
% Current number of equations to process: 506
% Current number of ordered equations: 1
% Current number of rules: 77
% Rule [103]
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4)))
% <->
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),
% multiply(multiply(c3,inverse(c3)),B))) is composed into
% [103]
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4))) <->
% inverse(multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,c3)))
% New rule produced :
% [104]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),
% multiply(multiply(c3,inverse(c3)),B))) <->
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4)))
% Rule
% [33]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(
% multiply(C,
% inverse(C)),D)))),
% multiply(multiply(c3,inverse(c3)),B))) -> D collapsed.
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [105]
% multiply(multiply(A,multiply(multiply(B,inverse(B)),C)),inverse(multiply(A,
% multiply(
% multiply(c3,
% inverse(c3)),C))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [106]
% multiply(multiply(A,inverse(A)),multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(
% multiply(c3,B)),
% multiply(c3,
% multiply(c3,
% inverse(c3)))))))
% -> B
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [107]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(D,multiply(multiply(c3,inverse(c3)),C))),
% multiply(D,multiply(V_4,inverse(V_4)))))
% Current number of equations to process: 531
% Current number of ordered equations: 1
% Current number of rules: 80
% Rule [107]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(D,multiply(multiply(c3,inverse(c3)),C))),
% multiply(D,multiply(V_4,inverse(V_4))))) is composed into
% [107]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,c3)))
% New rule produced :
% [108]
% inverse(multiply(inverse(multiply(D,multiply(multiply(c3,inverse(c3)),C))),
% multiply(D,multiply(V_4,inverse(V_4))))) <->
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)))
% Rule
% [35]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(
% multiply(c3,
% inverse(c3)),C))),
% multiply(B,multiply(D,inverse(D))))))
% -> C collapsed.
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [109]
% multiply(multiply(A,multiply(multiply(c3,inverse(c3)),B)),inverse(multiply(A,
% multiply(
% multiply(C,
% inverse(C)),B))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [110]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(D,multiply(multiply(V_4,inverse(V_4)),C))),
% multiply(D,multiply(c3,inverse(c3)))))
% Current number of equations to process: 558
% Current number of ordered equations: 1
% Current number of rules: 82
% Rule [110]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(D,multiply(multiply(V_4,inverse(V_4)),C))),
% multiply(D,multiply(c3,inverse(c3))))) is composed into
% [110]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,c3)))
% New rule produced :
% [111]
% inverse(multiply(inverse(multiply(D,multiply(multiply(V_4,inverse(V_4)),C))),
% multiply(D,multiply(c3,inverse(c3))))) <->
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)))
% Rule
% [37]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(
% multiply(C,
% inverse(C)),D))),
% multiply(B,multiply(c3,inverse(c3))))))
% -> D collapsed.
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [112]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),C)))
% <-> multiply(inverse(multiply(D,multiply(multiply(V_4,inverse(V_4)),C))),D)
% Current number of equations to process: 557
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [113]
% multiply(inverse(multiply(D,multiply(multiply(V_4,inverse(V_4)),C))),D) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),C)))
% Current number of equations to process: 557
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [114]
% inverse(multiply(inverse(multiply(multiply(c3,inverse(c3)),multiply(A,B))),
% multiply(multiply(C,inverse(C)),A))) <->
% inverse(multiply(inverse(multiply(D,multiply(V_4,B))),multiply(D,V_4)))
% Rule
% [38]
% inverse(multiply(inverse(multiply(multiply(c3,inverse(c3)),multiply(A,
% multiply(multiply(B,
% inverse(B)),C)))),
% multiply(multiply(D,inverse(D)),A))) -> C collapsed.
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [115]
% multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(inverse(multiply(D,
% inverse(D))),
% multiply(A,B))))) ->
% inverse(A)
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [116]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))))
% -> inverse(inverse(multiply(A,multiply(c3,inverse(c3)))))
% Rule
% [49]
% inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),multiply(
% multiply(C,
% inverse(C)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(c3)))))))))
% -> A collapsed.
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [117]
% inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3))))))))
% -> A
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [118]
% inverse(multiply(multiply(D,inverse(D)),multiply(B,multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(C,
% multiply(c3,
% inverse(c3)))),C))))
% Current number of equations to process: 640
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [119]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(C,
% multiply(c3,
% inverse(c3)))),C))))
% <->
% inverse(multiply(multiply(D,inverse(D)),multiply(B,multiply(c3,inverse(c3)))))
% Current number of equations to process: 640
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [120]
% inverse(multiply(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,
% multiply(c3,
% inverse(c3)))),
% multiply(c3,inverse(c3)))),
% multiply(c3,inverse(c3)))) -> B
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [121]
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(A,
% inverse(
% multiply(
% multiply(B,
% inverse(B)),
% multiply(C,
% multiply(c3,
% inverse(c3))))))))
% -> C
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [122]
% multiply(multiply(A,inverse(A)),multiply(inverse(multiply(c3,inverse(c3))),
% multiply(c3,inverse(c3)))) ->
% multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))
% Rule
% [41]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(c3,
% inverse(c3))),
% multiply(c3,inverse(c3))))) ->
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [123]
% inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(c3,
% inverse(c3))))))))
% <->
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,
% inverse(D)),
% multiply(B,C))))))
% Current number of equations to process: 716
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [124]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,
% inverse(D)),
% multiply(B,C)))))) <->
% inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(c3,
% inverse(c3))))))))
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [125]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(multiply(c3,
% inverse(c3)),
% multiply(c3,
% inverse(c3)))),
% multiply(multiply(B,inverse(B)),A))))
% -> inverse(A)
% Current number of equations to process: 714
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [126]
% inverse(multiply(inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))),
% multiply(multiply(A,B),multiply(c3,inverse(c3))))) ->
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% Current number of equations to process: 713
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [127]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% inverse(c3))),
% multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(c3,
% inverse(c3))))),B))))
% -> inverse(B)
% Current number of equations to process: 710
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [128]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(c3,
% inverse(c3))),
% multiply(multiply(B,inverse(B)),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% Rule
% [43]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(c3,
% inverse(c3))),
% multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))))))
% -> C collapsed.
% Rule
% [90]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(inverse(
% multiply(c3,
% inverse(c3))),
% multiply(multiply(B,
% inverse(B)),C)))),
% multiply(c3,inverse(c3)))) -> C collapsed.
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [129]
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% <->
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,
% inverse(A))),
% multiply(multiply(B,inverse(B)),C))))
% Current number of equations to process: 778
% Current number of ordered equations: 1
% Current number of rules: 95
% Rule [129]
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% <->
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,
% inverse(A))),
% multiply(multiply(B,inverse(B)),C)))) is composed into
% [129]
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(c3,inverse(c3)),C))))
% New rule produced :
% [130]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,
% inverse(A))),
% multiply(multiply(B,inverse(B)),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% Rule
% [45]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,
% inverse(A))),
% multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))))))
% -> C collapsed.
% Current number of equations to process: 778
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [131]
% multiply(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3)))),multiply(c3,
% inverse(c3)))
% -> multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))
% Rule
% [47]
% inverse(multiply(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3)))),
% multiply(c3,inverse(c3)))) ->
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 802
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [132]
% inverse(multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(c3))),
% multiply(c3,inverse(c3))))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(multiply(A,
% inverse(A)),
% multiply(c3,inverse(c3)))))))
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [133]
% inverse(multiply(B,multiply(inverse(B),multiply(c3,inverse(c3))))) <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(A,inverse(A)))))
% Current number of equations to process: 856
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [134]
% inverse(multiply(c3,multiply(inverse(c3),multiply(A,inverse(A))))) <->
% inverse(multiply(B,multiply(inverse(B),multiply(c3,inverse(c3)))))
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [135]
% multiply(multiply(c3,multiply(inverse(c3),multiply(A,inverse(A)))),inverse(
% multiply(B,
% multiply(
% inverse(B),
% multiply(c3,
% inverse(c3))))))
% -> multiply(c3,inverse(c3))
% Rule
% [50]
% multiply(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))),
% inverse(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3)))))) ->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [136]
% multiply(inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))),
% multiply(A,inverse(A))) -> multiply(c3,inverse(c3))
% Current number of equations to process: 903
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [137]
% inverse(inverse(multiply(A,multiply(B,multiply(C,inverse(C)))))) ->
% multiply(A,B)
% Rule
% [39]
% inverse(inverse(multiply(A,multiply(B,multiply(c3,inverse(c3)))))) ->
% multiply(A,B) collapsed.
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [138]
% multiply(A,multiply(inverse(A),multiply(B,inverse(B)))) <->
% multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))
% Rule
% [57]
% multiply(A,multiply(inverse(A),multiply(c3,inverse(c3)))) <->
% multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))) collapsed.
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [139]
% inverse(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3))))) <->
% inverse(multiply(B,multiply(inverse(B),multiply(c3,inverse(c3)))))
% Current number of equations to process: 939
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [140]
% multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(A,B))
% -> multiply(c3,inverse(c3))
% Rule
% [40]
% multiply(inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))),multiply(A,B))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [141]
% multiply(inverse(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3))))),
% multiply(B,inverse(B))) -> multiply(c3,inverse(c3))
% Rule
% [97]
% multiply(inverse(multiply(D,multiply(inverse(D),multiply(c3,inverse(c3))))),
% multiply(c3,inverse(c3))) -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [136]
% multiply(inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))),
% multiply(A,inverse(A))) -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 935
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [142]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% multiply(B,D)))) -> inverse(D)
% Rule
% [28]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% inverse(c3)))),
% multiply(B,C)))) -> inverse(C)
% collapsed.
% Current number of equations to process: 934
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [143]
% inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(D,
% inverse(D))))))))
% -> C
% Rule
% [10]
% inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))))))
% -> C collapsed.
% Current number of equations to process: 933
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [144]
% inverse(multiply(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,
% inverse(B)),C)))),
% multiply(D,inverse(D)))) -> C
% Current number of equations to process: 932
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [145]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(
% inverse(B),C))),
% multiply(D,inverse(D))))) -> C
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [146]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% inverse(c3)))),
% multiply(C,inverse(C))))) ->
% inverse(inverse(B))
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [147]
% multiply(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(D,
% inverse(D))))))),C)
% -> multiply(c3,inverse(c3))
% Rule
% [14]
% multiply(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))))),C)
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [148]
% multiply(multiply(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,
% inverse(B)),C)))),
% multiply(D,inverse(D))),C) -> multiply(c3,inverse(c3))
% Current number of equations to process: 927
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [149]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C))) <->
% multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C)))
% Rule
% [61]
% inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% collapsed.
% Rule
% [129]
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(c3,inverse(c3)),C))))
% collapsed.
% Current number of equations to process: 937
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [150]
% multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))) <->
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C)))
% Rule
% [60]
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% <->
% inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C))))
% collapsed.
% Current number of equations to process: 937
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [151]
% multiply(A,multiply(inverse(A),B)) <-> multiply(c3,multiply(inverse(c3),B))
% Rule
% [63]
% inverse(multiply(A,multiply(inverse(A),B))) <->
% inverse(multiply(c3,multiply(inverse(c3),B))) collapsed.
% Current number of equations to process: 943
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [152]
% multiply(c3,multiply(inverse(c3),B)) <-> multiply(A,multiply(inverse(A),B))
% Rule
% [62]
% inverse(multiply(c3,multiply(inverse(c3),B))) <->
% inverse(multiply(A,multiply(inverse(A),B))) collapsed.
% Current number of equations to process: 943
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [153]
% inverse(multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(inverse(C),A)))))))
% -> c3
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [154]
% multiply(multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(
% inverse(C),A)))))),c3)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [155]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(A))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 963
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [156]
% multiply(multiply(A,multiply(inverse(A),inverse(inverse(c3)))),inverse(
% multiply(c3,
% multiply(B,
% inverse(B)))))
% -> multiply(c3,inverse(c3))
% Rule
% [72]
% multiply(multiply(A,multiply(inverse(A),inverse(inverse(c3)))),inverse(
% multiply(c3,
% multiply(c3,
% inverse(c3)))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 963
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [157]
% inverse(multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(C,
% inverse(C))))))))
% -> A
% Rule
% [73]
% inverse(multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(c3,
% inverse(c3))))))))
% -> A collapsed.
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [158]
% multiply(D,inverse(D)) <->
% multiply(multiply(inverse(A),multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(
% inverse(c3),B)))))),A)
% Current number of equations to process: 1012
% Current number of ordered equations: 1
% Current number of rules: 106
% Rule [158]
% multiply(D,inverse(D)) <->
% multiply(multiply(inverse(A),multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(
% inverse(c3),B)))))),A) is composed into
% [158] multiply(D,inverse(D)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [159]
% multiply(multiply(inverse(A),multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(
% inverse(c3),B)))))),A)
% <-> multiply(D,inverse(D))
% Current number of equations to process: 1012
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [160]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),
% multiply(c3,inverse(c3))))) ->
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% Current number of equations to process: 1011
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [161]
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)) <->
% multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4))
% Rule
% [67]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4)))
% collapsed.
% Rule
% [103]
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4))) <->
% inverse(multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,c3)))
% collapsed.
% Rule
% [107]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,c3)))
% collapsed.
% Rule
% [110]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,c3)))
% collapsed.
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [162]
% multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(c3,
% multiply(
% inverse(c3),B)))),
% multiply(multiply(D,inverse(D)),A))) -> A
% Current number of equations to process: 1018
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [163]
% multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(multiply(C,
% inverse(C)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),B)))),D)))
% -> D
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [164]
% multiply(inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))),multiply(
% multiply(A,B),
% multiply(c3,
% inverse(c3))))
% -> multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))
% Rule
% [126]
% inverse(multiply(inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))),
% multiply(multiply(A,B),multiply(c3,inverse(c3))))) ->
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 1016
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [165]
% multiply(multiply(inverse(A),multiply(multiply(c3,inverse(c3)),inverse(
% inverse(
% multiply(
% multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3))))))),A)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [166]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(A,multiply(inverse(
% multiply(B,
% multiply(
% inverse(B),
% multiply(
% multiply(C,
% inverse(C)),A)))),c3))))
% -> inverse(c3)
% Current number of equations to process: 1016
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [167]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(C,
% multiply(
% inverse(C),
% multiply(
% multiply(D,
% inverse(D)),B)))),c3))))
% -> inverse(c3)
% Rule
% [166]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(A,multiply(inverse(
% multiply(B,
% multiply(
% inverse(B),
% multiply(
% multiply(C,
% inverse(C)),A)))),c3))))
% -> inverse(c3) collapsed.
% Current number of equations to process: 1015
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [168]
% inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,
% multiply(
% inverse(C),A)))),
% multiply(multiply(D,inverse(D)),c3)))) -> inverse(c3)
% Current number of equations to process: 1014
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [169]
% inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(D,inverse(D))))),
% multiply(multiply(V_4,inverse(V_4)),C)))) -> A
% Rule
% [23]
% inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,inverse(c3))))),
% multiply(multiply(D,inverse(D)),C)))) -> A
% collapsed.
% Current number of equations to process: 1010
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [170]
% inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(
% inverse(
% multiply(C,
% inverse(C))),
% multiply(D,A)))),
% multiply(V_4,inverse(V_4))))) -> D
% Rule
% [24]
% inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(
% inverse(
% multiply(C,
% inverse(C))),
% multiply(D,A)))),
% multiply(c3,inverse(c3))))) -> D collapsed.
% Current number of equations to process: 1010
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [171]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(inverse(multiply(C,multiply(D,
% multiply(V_4,
% inverse(V_4))))),C))))
% -> D
% Rule
% [30]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(inverse(multiply(C,multiply(D,
% multiply(c3,
% inverse(c3))))),C))))
% -> D collapsed.
% Current number of equations to process: 1009
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [172]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% multiply(C,D),
% multiply(V_4,
% inverse(V_4)))))))
% -> inverse(multiply(C,multiply(D,multiply(c3,inverse(c3)))))
% Rule
% [31]
% multiply(C,multiply(inverse(C),multiply(multiply(D,inverse(D)),inverse(
% multiply(
% multiply(A,B),
% multiply(c3,
% inverse(c3)))))))
% -> inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))) collapsed.
% Current number of equations to process: 1008
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [173]
% multiply(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% multiply(C,D))))),multiply(V_4,
% inverse(V_4)))
% -> inverse(multiply(C,multiply(D,multiply(c3,inverse(c3)))))
% Current number of equations to process: 1003
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [174]
% inverse(multiply(inverse(multiply(c3,multiply(inverse(c3),A))),multiply(B,
% inverse(B))))
% <-> inverse(multiply(inverse(multiply(C,multiply(D,A))),multiply(C,D)))
% Current number of equations to process: 1020
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [175]
% multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(multiply(V_5,
% inverse(V_5)),D)))),V_4))
% <-> multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))
% Rule
% [68]
% inverse(multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(
% multiply(V_5,
% inverse(V_5)),D)))),V_4)))
% <-> inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)))
% collapsed.
% Rule
% [88]
% multiply(multiply(A,multiply(inverse(multiply(B,multiply(multiply(multiply(C,
% inverse(C)),D),
% multiply(multiply(V_4,
% inverse(V_4)),A)))),B)),D)
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [176]
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,V_5)))
% <->
% inverse(multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D))))),B)))
% Rule
% [92]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(inverse(multiply(V_4,
% multiply(C,
% multiply(c3,
% inverse(c3))))),V_4)))
% collapsed.
% Current number of equations to process: 1019
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [177]
% inverse(multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D))))),B)))
% <->
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,V_5)))
% Rule
% [93]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(inverse(multiply(V_4,
% multiply(C,
% multiply(c3,
% inverse(c3))))),V_4)))
% <-> inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)))
% collapsed.
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [178]
% multiply(A,multiply(inverse(A),inverse(inverse(c3)))) ->
% multiply(c3,multiply(c3,inverse(c3)))
% Rule
% [70]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(c3))))) ->
% inverse(multiply(c3,multiply(c3,inverse(c3)))) collapsed.
% Rule
% [156]
% multiply(multiply(A,multiply(inverse(A),inverse(inverse(c3)))),inverse(
% multiply(c3,
% multiply(B,
% inverse(B)))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [179]
% multiply(multiply(c3,multiply(c3,inverse(c3))),inverse(multiply(c3,multiply(B,
% inverse(B)))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [180]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(A,multiply(C,
% inverse(C)))))
% -> multiply(c3,inverse(c3))
% Rule
% [71]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(A,multiply(c3,
% inverse(c3)))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [179]
% multiply(multiply(c3,multiply(c3,inverse(c3))),inverse(multiply(c3,multiply(B,
% inverse(B)))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 1069
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [181]
% inverse(multiply(inverse(multiply(D,multiply(V_4,inverse(C)))),multiply(D,V_4)))
% <->
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% Rule
% [75]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(C)))),multiply(A,B)))
% <->
% inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),multiply(D,C)))
% collapsed.
% Current number of equations to process: 1088
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [182]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% <->
% inverse(multiply(inverse(multiply(D,multiply(V_4,inverse(C)))),multiply(D,V_4)))
% Rule
% [74]
% inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),multiply(D,C)))
% <->
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(C)))),multiply(A,B)))
% collapsed.
% Current number of equations to process: 1088
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [183]
% inverse(multiply(inverse(multiply(C,multiply(D,inverse(inverse(A))))),
% multiply(C,D))) <->
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(B,
% inverse(B))))
% Current number of equations to process: 1087
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [184]
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(B,
% inverse(B))))
% <->
% inverse(multiply(inverse(multiply(C,multiply(D,inverse(inverse(A))))),
% multiply(C,D)))
% Current number of equations to process: 1087
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [185]
% inverse(multiply(D,multiply(inverse(multiply(V_4,multiply(B,multiply(
% multiply(V_5,
% inverse(V_5)),D)))),V_4)))
% <->
% inverse(multiply(inverse(multiply(A,multiply(inverse(A),B))),multiply(C,
% inverse(C))))
% Current number of equations to process: 1086
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [186]
% inverse(multiply(inverse(multiply(A,multiply(inverse(A),B))),multiply(C,
% inverse(C))))
% <->
% inverse(multiply(D,multiply(inverse(multiply(V_4,multiply(B,multiply(
% multiply(V_5,
% inverse(V_5)),D)))),V_4)))
% Current number of equations to process: 1086
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [187]
% multiply(multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(c3,
% inverse(c3))))))),A)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1087
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [188]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(inverse(
% multiply(B,
% multiply(C,
% inverse(A)))),
% multiply(B,C))),
% multiply(c3,inverse(c3))))) -> A
% Current number of equations to process: 1086
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [189]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(
% multiply(C,
% multiply(D,
% inverse(D)))),C)))))
% <-> multiply(multiply(V_4,inverse(V_4)),B)
% Rule
% [76]
% inverse(multiply(multiply(C,inverse(C)),inverse(multiply(B,multiply(inverse(
% multiply(D,
% multiply(c3,
% inverse(c3)))),D)))))
% <-> multiply(multiply(A,inverse(A)),B) collapsed.
% Current number of equations to process: 1092
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [190]
% multiply(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,
% inverse(A))),B)),
% inverse(multiply(c3,multiply(inverse(c3),B)))) -> multiply(c3,inverse(c3))
% Current number of equations to process: 1130
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [191]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(
% multiply(C,
% inverse(C)),D)))),
% multiply(multiply(V_4,inverse(V_4)),B))) -> D
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [192]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(C,D))),
% multiply(multiply(V_4,inverse(V_4)),C))))
% -> D
% Current number of equations to process: 1128
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [193]
% inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(multiply(c3,
% inverse(c3)),
% multiply(inverse(
% multiply(c3,
% multiply(c3,B))),
% multiply(c3,c3))))))))
% -> A
% Current number of equations to process: 1132
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [194]
% multiply(A,multiply(inverse(A),inverse(inverse(multiply(multiply(B,inverse(B)),
% multiply(c3,inverse(c3)))))))
% <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(multiply(c3,
% inverse(c3)),
% multiply(c3,inverse(c3)))))))
% Current number of equations to process: 1131
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [195]
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(multiply(c3,
% inverse(c3)),
% multiply(c3,inverse(c3)))))))
% <->
% multiply(A,multiply(inverse(A),inverse(inverse(multiply(multiply(B,inverse(B)),
% multiply(c3,inverse(c3)))))))
% Current number of equations to process: 1131
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [196]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,multiply(multiply(D,
% inverse(D)),A)))),B)))
% <->
% inverse(multiply(V_4,multiply(inverse(multiply(V_5,multiply(C,multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5)))
% Current number of equations to process: 1130
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [197]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,
% inverse(C))),
% multiply(c3,multiply(c3,inverse(c3))))))
% Current number of equations to process: 1129
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [198]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,
% inverse(C))),
% multiply(c3,multiply(c3,inverse(c3))))))
% <->
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [199]
% inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(C,
% inverse(C))),
% multiply(inverse(multiply(D,
% multiply(c3,
% inverse(c3)))),D)))))
% <-> multiply(A,inverse(A))
% Current number of equations to process: 1128
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [200]
% multiply(multiply(A,multiply(multiply(B,inverse(B)),C)),inverse(multiply(A,
% multiply(
% multiply(D,
% inverse(D)),C))))
% -> multiply(c3,inverse(c3))
% Rule
% [105]
% multiply(multiply(A,multiply(multiply(B,inverse(B)),C)),inverse(multiply(A,
% multiply(
% multiply(c3,
% inverse(c3)),C))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [109]
% multiply(multiply(A,multiply(multiply(c3,inverse(c3)),B)),inverse(multiply(A,
% multiply(
% multiply(C,
% inverse(C)),B))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 1137
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [201]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(A,
% multiply(multiply(B,
% inverse(B)),C))),
% multiply(A,multiply(D,inverse(D))))))
% -> C
% Current number of equations to process: 1136
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [202]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(
% multiply(C,
% inverse(C)),D))),
% multiply(B,multiply(V_4,inverse(V_4))))))
% -> D
% Rule
% [201]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(A,
% multiply(multiply(B,
% inverse(B)),C))),
% multiply(A,multiply(D,inverse(D))))))
% -> C collapsed.
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [203]
% multiply(multiply(A,multiply(B,multiply(C,inverse(C)))),inverse(multiply(A,
% multiply(B,
% multiply(D,
% inverse(D))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1155
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [204]
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(
% multiply(C,D)),
% multiply(C,
% multiply(V_4,
% inverse(V_4)))))))
% -> D
% Rule
% [106]
% multiply(multiply(A,inverse(A)),multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(
% multiply(c3,B)),
% multiply(c3,
% multiply(c3,
% inverse(c3)))))))
% -> B collapsed.
% Current number of equations to process: 1176
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [205]
% inverse(inverse(multiply(multiply(C,inverse(C)),multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,multiply(inverse(c3),
% multiply(B,inverse(B))))))
% Current number of equations to process: 1198
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [206]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,multiply(inverse(c3),
% multiply(B,inverse(B))))))
% <->
% inverse(inverse(multiply(multiply(C,inverse(C)),multiply(c3,inverse(c3)))))
% Current number of equations to process: 1198
% Current number of ordered equations: 0
% Current number of rules: 129
% Rule [185]
% inverse(multiply(D,multiply(inverse(multiply(V_4,multiply(B,multiply(
% multiply(V_5,
% inverse(V_5)),D)))),V_4)))
% <->
% inverse(multiply(inverse(multiply(A,multiply(inverse(A),B))),multiply(C,
% inverse(C)))) is composed into
% [185]
% inverse(multiply(D,multiply(inverse(multiply(V_4,multiply(B,multiply(
% multiply(V_5,
% inverse(V_5)),D)))),V_4)))
% <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,B)),
% multiply(c3,multiply(c3,inverse(c3))))))
% New rule produced :
% [207]
% inverse(multiply(inverse(multiply(A,multiply(inverse(A),B))),multiply(C,
% inverse(C))))
% <->
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% Rule
% [144]
% inverse(multiply(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,
% inverse(B)),C)))),
% multiply(D,inverse(D)))) -> C collapsed.
% Rule
% [145]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(
% inverse(B),C))),
% multiply(D,inverse(D))))) -> C
% collapsed.
% Rule
% [174]
% inverse(multiply(inverse(multiply(c3,multiply(inverse(c3),A))),multiply(B,
% inverse(B))))
% <-> inverse(multiply(inverse(multiply(C,multiply(D,A))),multiply(C,D)))
% collapsed.
% Rule
% [186]
% inverse(multiply(inverse(multiply(A,multiply(inverse(A),B))),multiply(C,
% inverse(C))))
% <->
% inverse(multiply(D,multiply(inverse(multiply(V_4,multiply(B,multiply(
% multiply(V_5,
% inverse(V_5)),D)))),V_4)))
% collapsed.
% Current number of equations to process: 1201
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [208]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,B)),
% multiply(c3,multiply(c3,inverse(c3))))))
% Current number of equations to process: 1200
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [209]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,B)),
% multiply(c3,multiply(c3,inverse(c3))))))
% <->
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% Current number of equations to process: 1200
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [210]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% <->
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,
% inverse(C))),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% Rule
% [85]
% inverse(multiply(inverse(multiply(V_4,multiply(c3,inverse(c3)))),multiply(V_4,C)))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(C))),
% multiply(B,multiply(D,inverse(D))))))
% collapsed.
% Rule
% [197]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,
% inverse(C))),
% multiply(c3,multiply(c3,inverse(c3))))))
% collapsed.
% Current number of equations to process: 1199
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [211]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,
% inverse(C))),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% <->
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% Rule
% [87]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(C))),
% multiply(B,multiply(D,inverse(D))))))
% <->
% inverse(multiply(inverse(multiply(V_4,multiply(c3,inverse(c3)))),multiply(V_4,C)))
% collapsed.
% Rule
% [198]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,
% inverse(C))),
% multiply(c3,multiply(c3,inverse(c3))))))
% <->
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% collapsed.
% Current number of equations to process: 1199
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [212]
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,inverse(C)))),multiply(V_4,V_5)))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(C,multiply(D,inverse(D))))))
% Current number of equations to process: 1251
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [213]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(C,multiply(D,inverse(D))))))
% <->
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,inverse(C)))),multiply(V_4,V_5)))
% Current number of equations to process: 1251
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [214]
% inverse(multiply(inverse(c3),multiply(multiply(A,inverse(A)),multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(C,
% multiply(
% inverse(C),
% multiply(D,
% inverse(D)))))))))
% -> c3
% Rule
% [52]
% inverse(multiply(inverse(c3),multiply(multiply(A,inverse(A)),multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(C,
% multiply(
% inverse(C),
% multiply(c3,
% inverse(c3)))))))))
% -> c3 collapsed.
% Current number of equations to process: 1250
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [215]
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))
% <->
% multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),inverse(multiply(A,
% multiply(D,V_4))))))
% Current number of equations to process: 1249
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [216]
% multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),inverse(multiply(A,
% multiply(D,V_4))))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))
% Current number of equations to process: 1249
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [217]
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))
% <->
% multiply(inverse(multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),A)))),
% multiply(D,V_4))
% Current number of equations to process: 1248
% Current number of ordered equations: 1
% Current number of rules: 131
% Rule [217]
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))
% <->
% multiply(inverse(multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),A)))),
% multiply(D,V_4)) is composed into [217]
% inverse(multiply(A,multiply(B,
% multiply(multiply(C,
% inverse(C)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),B)))))))
% <->
% inverse(multiply(A,multiply(c3,
% multiply(multiply(c3,
% inverse(c3)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),c3)))))))
% New rule produced :
% [218]
% multiply(inverse(multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),A)))),
% multiply(D,V_4)) <->
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))
% Rule
% [26]
% inverse(multiply(inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),D)))),
% multiply(A,B))) -> D collapsed.
% Rule
% [29]
% multiply(multiply(inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),D)))),
% multiply(A,B)),D) -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [42]
% multiply(inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),
% multiply(D,V_4))))),multiply(A,B)) ->
% inverse(multiply(D,multiply(V_4,multiply(c3,inverse(c3))))) collapsed.
% Current number of equations to process: 1251
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [219]
% inverse(inverse(multiply(D,multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(inverse(c3),B))))))))
% -> D
% Current number of equations to process: 1250
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [220]
% multiply(inverse(multiply(D,multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(inverse(c3),B))))))),D)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1249
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [221]
% inverse(multiply(multiply(D,V_4),multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(
% inverse(c3),B)))))))
% -> inverse(multiply(D,multiply(V_4,multiply(c3,inverse(c3)))))
% Current number of equations to process: 1248
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [222]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),
% multiply(multiply(C,inverse(C)),
% inverse(multiply(D,multiply(c3,
% inverse(c3))))))))
% -> D
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [223]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(inverse(
% multiply(B,
% inverse(B))),
% multiply(multiply(C,
% inverse(C)),D)))),
% multiply(c3,inverse(c3)))) -> D
% Current number of equations to process: 1245
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [224]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(inverse(
% multiply(C,
% inverse(C))),D))),
% multiply(c3,inverse(c3))))) -> D
% Rule
% [91]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(inverse(
% multiply(c3,
% inverse(c3))),C))),
% multiply(c3,inverse(c3))))) -> C
% collapsed.
% Current number of equations to process: 1244
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [225]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),
% multiply(multiply(C,inverse(C)),
% inverse(multiply(D,multiply(V_4,
% inverse(V_4))))))))
% -> D
% Rule
% [222]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),
% multiply(multiply(C,inverse(C)),
% inverse(multiply(D,multiply(c3,
% inverse(c3))))))))
% -> D collapsed.
% Current number of equations to process: 1243
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [226]
% inverse(inverse(inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,
% inverse(D)),B))))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(C)))))
% Current number of equations to process: 1259
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [227]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(C)))))
% <->
% inverse(inverse(inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,
% inverse(D)),B))))))
% Rule
% [146]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% inverse(c3)))),
% multiply(C,inverse(C))))) ->
% inverse(inverse(B)) collapsed.
% Rule
% [224]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(inverse(
% multiply(C,
% inverse(C))),D))),
% multiply(c3,inverse(c3))))) -> D
% collapsed.
% Current number of equations to process: 1261
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [228]
% inverse(inverse(inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,
% inverse(c3)),B)))))))))))
% -> inverse(inverse(B))
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [229]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(inverse(multiply(
% multiply(A,
% inverse(A)),
% multiply(c3,
% inverse(c3))))),
% multiply(multiply(B,inverse(B)),C))))
% -> inverse(C)
% Current number of equations to process: 1275
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [230]
% inverse(inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(inverse(multiply(
% multiply(A,
% inverse(A)),
% multiply(c3,
% inverse(c3))))),
% multiply(c3,inverse(c3)))))
% Current number of equations to process: 1274
% Current number of ordered equations: 1
% Current number of rules: 137
% Rule [230]
% inverse(inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(inverse(
% multiply(
% multiply(A,
% inverse(A)),
% multiply(c3,
% inverse(c3))))),
% multiply(c3,inverse(c3))))) is composed into
% [230]
% inverse(inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(multiply(c3,inverse(c3))))
% New rule produced :
% [231]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(inverse(multiply(
% multiply(A,
% inverse(A)),
% multiply(c3,
% inverse(c3))))),
% multiply(c3,inverse(c3))))) <->
% inverse(inverse(multiply(B,inverse(B))))
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [232]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(c3,
% inverse(c3))))),C))))
% -> inverse(C)
% Rule
% [127]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% inverse(c3))),
% multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(c3,
% inverse(c3))))),B))))
% -> inverse(B) collapsed.
% Current number of equations to process: 1273
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [233]
% inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(inverse(
% multiply(c3,
% multiply(c3,B))),
% multiply(c3,c3)))) ->
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% Current number of equations to process: 1272
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [234]
% inverse(multiply(inverse(inverse(c3)),multiply(multiply(multiply(A,inverse(A)),
% inverse(multiply(c3,multiply(c3,
% inverse(c3))))),
% multiply(multiply(B,inverse(B)),C))))
% -> inverse(C)
% Current number of equations to process: 1271
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [235]
% inverse(multiply(multiply(A,multiply(B,inverse(B))),multiply(inverse(
% multiply(A,
% multiply(c3,
% inverse(c3)))),
% multiply(c3,inverse(c3)))))
% -> inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% Current number of equations to process: 1270
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [236]
% multiply(multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(
% multiply(V_4,
% inverse(V_4)),B)))))),D)
% -> multiply(c3,inverse(c3))
% Rule
% [94]
% multiply(multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))),D)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [95]
% multiply(multiply(multiply(c3,inverse(c3)),multiply(A,multiply(multiply(B,
% inverse(B)),
% inverse(multiply(C,
% multiply(
% multiply(D,
% inverse(D)),A)))))),C)
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 1269
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [237]
% multiply(multiply(inverse(multiply(multiply(c3,inverse(c3)),multiply(A,
% multiply(
% multiply(B,
% inverse(B)),C)))),
% multiply(multiply(D,inverse(D)),A)),C) -> multiply(c3,inverse(c3))
% Current number of equations to process: 1266
% Current number of ordered equations: 2
% Current number of rules: 141
% New rule produced :
% [238]
% multiply(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,
% multiply(multiply(C,
% inverse(C)),D)))),
% multiply(multiply(V_4,inverse(V_4)),B)),D) ->
% multiply(c3,inverse(c3))
% Rule
% [237]
% multiply(multiply(inverse(multiply(multiply(c3,inverse(c3)),multiply(A,
% multiply(
% multiply(B,
% inverse(B)),C)))),
% multiply(multiply(D,inverse(D)),A)),C) -> multiply(c3,inverse(c3))
% collapsed.
% Current number of equations to process: 1266
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [239]
% multiply(multiply(inverse(multiply(A,multiply(multiply(c3,inverse(c3)),
% multiply(multiply(B,inverse(B)),C)))),
% multiply(A,multiply(D,inverse(D)))),C) -> multiply(c3,inverse(c3))
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [240]
% inverse(multiply(V_4,multiply(inverse(multiply(V_5,multiply(C,multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5)))
% <->
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),
% multiply(multiply(D,inverse(D)),B)))
% Current number of equations to process: 1265
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [241]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),
% multiply(multiply(D,inverse(D)),B))) <->
% inverse(multiply(V_4,multiply(inverse(multiply(V_5,multiply(C,multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5)))
% Current number of equations to process: 1265
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [242]
% multiply(V_5,inverse(V_5)) <->
% multiply(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(A,
% multiply(V_4,
% inverse(V_4)))))))),D)
% Current number of equations to process: 1263
% Current number of ordered equations: 1
% Current number of rules: 145
% Rule [242]
% multiply(V_5,inverse(V_5)) <->
% multiply(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(A,
% multiply(V_4,
% inverse(V_4)))))))),D) is composed into
% [242] multiply(V_5,inverse(V_5)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [243]
% multiply(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(A,
% multiply(V_4,
% inverse(V_4)))))))),D)
% <-> multiply(V_5,inverse(V_5))
% Rule
% [96]
% multiply(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(A,
% multiply(c3,
% inverse(c3)))))))),D)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [98]
% multiply(multiply(A,multiply(multiply(c3,inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(C,
% multiply(A,
% multiply(D,
% inverse(D)))))))),C)
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 1263
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [244]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(C,inverse(C))))),D))))
% -> inverse(D)
% Rule
% [232]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(c3,
% inverse(c3))))),C))))
% -> inverse(C) collapsed.
% Current number of equations to process: 1262
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [245]
% multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3)))),
% multiply(multiply(D,inverse(D)),A))))
% -> inverse(A)
% Rule
% [125]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(multiply(c3,
% inverse(c3)),
% multiply(c3,
% inverse(c3)))),
% multiply(multiply(B,inverse(B)),A))))
% -> inverse(A) collapsed.
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [246]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(c3,inverse(c3)))) <->
% inverse(multiply(A,multiply(B,inverse(inverse(multiply(inverse(multiply(C,
% multiply(D,
% multiply(A,B)))),
% multiply(C,D)))))))
% Current number of equations to process: 1351
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [247]
% inverse(multiply(A,multiply(B,inverse(inverse(multiply(inverse(multiply(C,
% multiply(D,
% multiply(A,B)))),
% multiply(C,D))))))) <->
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(c3,inverse(c3))))
% Current number of equations to process: 1351
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [248]
% inverse(inverse(multiply(inverse(multiply(V_4,multiply(V_5,D))),multiply(V_4,V_5))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C)))),D)))
% Rule
% [84]
% inverse(inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),C)))
% collapsed.
% Current number of equations to process: 1350
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [249]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C)))),D)))
% <->
% inverse(inverse(multiply(inverse(multiply(V_4,multiply(V_5,D))),multiply(V_4,V_5))))
% Rule
% [86]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),C)))
% <->
% inverse(inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4))))
% collapsed.
% Current number of equations to process: 1350
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [250]
% multiply(multiply(c3,multiply(inverse(c3),A)),inverse(multiply(B,multiply(
% inverse(B),A))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1381
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [251]
% inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(inverse(multiply(C,
% inverse(C))),
% multiply(c3,inverse(c3))))),
% multiply(c3,inverse(c3))))) -> A
% Current number of equations to process: 1409
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [252]
% inverse(multiply(inverse(A),multiply(inverse(multiply(c3,inverse(c3))),
% multiply(c3,inverse(c3))))) -> A
% Current number of equations to process: 1408
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [253]
% inverse(multiply(multiply(D,inverse(D)),C)) <->
% multiply(multiply(A,inverse(A)),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))),
% multiply(c3,inverse(c3))))
% Current number of equations to process: 1406
% Current number of ordered equations: 1
% Current number of rules: 150
% Rule [253]
% inverse(multiply(multiply(D,inverse(D)),C)) <->
% multiply(multiply(A,inverse(A)),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))),
% multiply(c3,inverse(c3)))) is composed into
% [253]
% inverse(multiply(multiply(D,inverse(D)),C)) <->
% inverse(multiply(multiply(c3,inverse(c3)),C))
% New rule produced :
% [254]
% multiply(multiply(A,inverse(A)),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))),
% multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(D,inverse(D)),C))
% Current number of equations to process: 1406
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [255]
% inverse(inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),
% multiply(D,C)))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),
% inverse(C))))
% Current number of equations to process: 1405
% Current number of ordered equations: 1
% Current number of rules: 152
% Rule [255]
% inverse(inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),
% multiply(D,C)))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(
% multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),
% inverse(C)))) is composed into
% [255]
% inverse(inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),
% multiply(D,C)))) <->
% inverse(inverse(multiply(inverse(multiply(c3,multiply(c3,inverse(c3)))),
% multiply(c3,C))))
% New rule produced :
% [256]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),
% inverse(C)))) <->
% inverse(inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),
% multiply(D,C))))
% Current number of equations to process: 1405
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [257]
% multiply(inverse(multiply(A,B)),multiply(multiply(c3,inverse(c3)),inverse(
% inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3)))))))
% -> inverse(multiply(A,multiply(B,multiply(c3,inverse(c3)))))
% Current number of equations to process: 1401
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [258]
% multiply(inverse(C),multiply(c3,inverse(c3))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(c3)))))),
% multiply(B,C))))
% Rule
% [188]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(inverse(
% multiply(B,
% multiply(C,
% inverse(A)))),
% multiply(B,C))),
% multiply(c3,inverse(c3))))) -> A
% collapsed.
% Rule
% [223]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(inverse(
% multiply(B,
% inverse(B))),
% multiply(multiply(C,
% inverse(C)),D)))),
% multiply(c3,inverse(c3)))) -> D collapsed.
% Rule
% [231]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(inverse(multiply(
% multiply(A,
% inverse(A)),
% multiply(c3,
% inverse(c3))))),
% multiply(c3,inverse(c3))))) <->
% inverse(inverse(multiply(B,inverse(B)))) collapsed.
% Current number of equations to process: 1403
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [259]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(c3)))))),
% multiply(B,C)))) <->
% multiply(inverse(C),multiply(c3,inverse(c3)))
% Current number of equations to process: 1403
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [260]
% inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(inverse(multiply(C,
% inverse(C))),
% multiply(c3,inverse(c3))))),
% multiply(D,inverse(D))))) -> A
% Rule
% [251]
% inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(inverse(multiply(C,
% inverse(C))),
% multiply(c3,inverse(c3))))),
% multiply(c3,inverse(c3))))) -> A collapsed.
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [261]
% inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(inverse(multiply(C,
% inverse(C))),
% multiply(D,inverse(D))))),
% multiply(c3,inverse(c3))))) -> A
% Current number of equations to process: 1401
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [262]
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))
% <->
% multiply(inverse(A),multiply(D,multiply(multiply(V_4,inverse(V_4)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),D))))))
% Current number of equations to process: 1400
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [263]
% multiply(inverse(A),multiply(D,multiply(multiply(V_4,inverse(V_4)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),D))))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))
% Rule
% [65]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(inverse(c3),B)))))))
% -> A collapsed.
% Rule
% [159]
% multiply(multiply(inverse(A),multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(
% inverse(c3),B)))))),A)
% <-> multiply(D,inverse(D)) collapsed.
% Current number of equations to process: 1400
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [264]
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(A,
% multiply(B,
% multiply(
% inverse(B),C)))))
% <->
% inverse(multiply(inverse(multiply(c3,multiply(c3,inverse(c3)))),multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),C)))))
% Current number of equations to process: 1398
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [265]
% inverse(multiply(inverse(multiply(c3,multiply(c3,inverse(c3)))),multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),C)))))
% <->
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(A,
% multiply(B,
% multiply(
% inverse(B),C)))))
% Current number of equations to process: 1398
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [266]
% inverse(multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(D,multiply(A,B)))))),
% multiply(D,inverse(inverse(c3))))) ->
% inverse(multiply(c3,multiply(c3,inverse(c3))))
% Current number of equations to process: 1397
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [267]
% inverse(multiply(inverse(multiply(D,multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(
% inverse(c3),B))))))),
% multiply(D,inverse(inverse(c3))))) ->
% inverse(multiply(c3,multiply(c3,inverse(c3))))
% Current number of equations to process: 1396
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [268]
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(A,
% multiply(B,
% multiply(
% inverse(B),C)))))
% <->
% inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),multiply(D,
% multiply(c3,
% multiply(
% inverse(c3),C)))))
% Rule
% [264]
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(A,
% multiply(B,
% multiply(
% inverse(B),C)))))
% <->
% inverse(multiply(inverse(multiply(c3,multiply(c3,inverse(c3)))),multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),C)))))
% collapsed.
% Current number of equations to process: 1395
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [269]
% inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),multiply(D,
% multiply(c3,
% multiply(
% inverse(c3),C)))))
% <->
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(A,
% multiply(B,
% multiply(
% inverse(B),C)))))
% Rule
% [265]
% inverse(multiply(inverse(multiply(c3,multiply(c3,inverse(c3)))),multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),C)))))
% <->
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(A,
% multiply(B,
% multiply(
% inverse(B),C)))))
% collapsed.
% Current number of equations to process: 1395
% Current number of ordered equations: 0
% Current number of rules: 158
% Rule [240]
% inverse(multiply(V_4,multiply(inverse(multiply(V_5,multiply(C,multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5)))
% <->
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),
% multiply(multiply(D,inverse(D)),B))) is composed into [240]
% inverse(
% multiply(V_4,
% multiply(
% inverse(
% multiply(V_5,
% multiply(C,
% multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5)))
% <->
% multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% inverse(
% multiply(c3,C)),
% multiply(c3,
% multiply(c3,
% inverse(c3))))))
% New rule produced :
% [270]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),
% multiply(multiply(D,inverse(D)),B))) <->
% multiply(multiply(V_4,inverse(V_4)),inverse(multiply(inverse(multiply(V_5,C)),
% multiply(V_5,multiply(V_6,
% inverse(V_6))))))
% Rule
% [104]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),
% multiply(multiply(c3,inverse(c3)),B))) <->
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4)))
% collapsed.
% Rule
% [114]
% inverse(multiply(inverse(multiply(multiply(c3,inverse(c3)),multiply(A,B))),
% multiply(multiply(C,inverse(C)),A))) <->
% inverse(multiply(inverse(multiply(D,multiply(V_4,B))),multiply(D,V_4)))
% collapsed.
% Rule
% [191]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(
% multiply(C,
% inverse(C)),D)))),
% multiply(multiply(V_4,inverse(V_4)),B))) -> D collapsed.
% Rule
% [192]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(C,D))),
% multiply(multiply(V_4,inverse(V_4)),C))))
% -> D collapsed.
% Rule
% [241]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),
% multiply(multiply(D,inverse(D)),B))) <->
% inverse(multiply(V_4,multiply(inverse(multiply(V_5,multiply(C,multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5)))
% collapsed.
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [271]
% inverse(inverse(multiply(inverse(multiply(c3,multiply(c3,inverse(c3)))),
% multiply(c3,C)))) <->
% inverse(inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),
% multiply(A,C))))
% Current number of equations to process: 1393
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [272]
% inverse(inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),
% multiply(A,C)))) <->
% inverse(inverse(multiply(inverse(multiply(c3,multiply(c3,inverse(c3)))),
% multiply(c3,C))))
% Rule
% [255]
% inverse(inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),
% multiply(D,C)))) <->
% inverse(inverse(multiply(inverse(multiply(c3,multiply(c3,inverse(c3)))),
% multiply(c3,C)))) collapsed.
% Current number of equations to process: 1393
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [273]
% inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(D,
% inverse(D))))))),
% multiply(A,V_4))) <->
% multiply(multiply(V_5,inverse(V_5)),inverse(multiply(multiply(B,C),multiply(V_4,
% multiply(V_6,
% inverse(V_6))))))
% Rule
% [99]
% inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(c3,
% inverse(c3))))))),
% multiply(A,D))) <->
% multiply(multiply(V_4,inverse(V_4)),inverse(multiply(multiply(B,C),multiply(D,
% multiply(V_5,
% inverse(V_5))))))
% collapsed.
% Current number of equations to process: 1435
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [274]
% inverse(multiply(inverse(inverse(inverse(multiply(D,multiply(c3,inverse(c3)))))),
% multiply(D,B))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(c3,inverse(c3)),
% multiply(B,multiply(C,inverse(C))))))
% Current number of equations to process: 1468
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced :
% [275]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(c3,inverse(c3)),
% multiply(B,multiply(C,inverse(C))))))
% <->
% inverse(multiply(inverse(inverse(inverse(multiply(D,multiply(c3,inverse(c3)))))),
% multiply(D,B)))
% Current number of equations to process: 1468
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [276]
% inverse(multiply(inverse(multiply(A,multiply(multiply(B,inverse(B)),C))),
% multiply(A,multiply(D,inverse(D))))) <->
% multiply(multiply(V_4,inverse(V_4)),inverse(multiply(inverse(multiply(V_5,C)),
% multiply(V_5,multiply(V_6,
% inverse(V_6))))))
% Rule
% [108]
% inverse(multiply(inverse(multiply(D,multiply(multiply(c3,inverse(c3)),C))),
% multiply(D,multiply(V_4,inverse(V_4))))) <->
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)))
% collapsed.
% Rule
% [111]
% inverse(multiply(inverse(multiply(D,multiply(multiply(V_4,inverse(V_4)),C))),
% multiply(D,multiply(c3,inverse(c3))))) <->
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)))
% collapsed.
% Rule
% [202]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(
% multiply(C,
% inverse(C)),D))),
% multiply(B,multiply(V_4,inverse(V_4))))))
% -> D collapsed.
% Current number of equations to process: 1498
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [277]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(c3,inverse(c3)))) <->
% inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(multiply(D,
% inverse(D)),
% multiply(A,B)))),C))))
% Current number of equations to process: 1566
% Current number of ordered equations: 1
% Current number of rules: 156
% Rule [277]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(c3,inverse(c3))))
% <->
% inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(
% multiply(D,
% inverse(D)),
% multiply(A,B)))),C)))) is composed into
% [277]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(c3,inverse(c3)),multiply(c3,inverse(c3))))
% New rule produced :
% [278]
% inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(multiply(D,
% inverse(D)),
% multiply(A,B)))),C))))
% <-> inverse(multiply(multiply(V_4,inverse(V_4)),multiply(c3,inverse(c3))))
% Current number of equations to process: 1566
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [279]
% multiply(inverse(multiply(A,multiply(multiply(B,inverse(B)),multiply(
% multiply(C,
% inverse(C)),
% multiply(D,
% inverse(D)))))),A)
% -> inverse(multiply(c3,inverse(c3)))
% Current number of equations to process: 1579
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [280]
% multiply(inverse(multiply(A,multiply(multiply(B,inverse(B)),inverse(inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3)))))))),A)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1578
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C)))),D)))
% Rule
% [113]
% multiply(inverse(multiply(D,multiply(multiply(V_4,inverse(V_4)),C))),D) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),C)))
% collapsed.
% Current number of equations to process: 1578
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [282]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C)))),D)))
% <->
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% Rule
% [112]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),C)))
% <-> multiply(inverse(multiply(D,multiply(multiply(V_4,inverse(V_4)),C))),D)
% collapsed.
% Current number of equations to process: 1578
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [283]
% multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(
% inverse(D),
% multiply(A,B))))))
% -> D
% Current number of equations to process: 1588
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [284]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(C,
% inverse(C))),
% multiply(c3,inverse(c3))))))
% -> A
% Current number of equations to process: 1597
% Current number of ordered equations: 0
% Current number of rules: 161
% Rule [100]
% multiply(multiply(V_4,inverse(V_4)),inverse(multiply(multiply(B,C),
% multiply(D,multiply(V_5,
% inverse(V_5))))))
% <->
% inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,
% multiply(c3,
% inverse(c3))))))),
% multiply(A,D))) is composed into [100]
% multiply(multiply(V_4,inverse(V_4)),
% inverse(multiply(multiply(B,C),
% multiply(D,multiply(V_5,
% inverse(V_5))))))
% <->
% inverse(multiply(inverse(
% multiply(c3,
% inverse(c3))),
% multiply(multiply(B,
% multiply(C,
% multiply(c3,
% inverse(c3)))),D)))
% New rule produced :
% [285]
% inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,C))) <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,C)))
% Rule
% [273]
% inverse(multiply(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(D,
% inverse(D))))))),
% multiply(A,V_4))) <->
% multiply(multiply(V_5,inverse(V_5)),inverse(multiply(multiply(B,C),multiply(V_4,
% multiply(V_6,
% inverse(V_6))))))
% collapsed.
% Current number of equations to process: 1610
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [286]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,C))) <->
% inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,C)))
% Current number of equations to process: 1610
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [287]
% multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(multiply(
% inverse(multiply(C,
% inverse(C))),
% multiply(D,
% inverse(D))))))
% -> inverse(A)
% Current number of equations to process: 1611
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [288]
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,C))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(B)),
% multiply(C,multiply(D,inverse(D))))))
% Current number of equations to process: 1628
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [289]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(B)),
% multiply(C,multiply(D,inverse(D))))))
% <-> inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,C)))
% Current number of equations to process: 1628
% Current number of ordered equations: 0
% Current number of rules: 165
% Rule [205]
% inverse(inverse(multiply(multiply(C,inverse(C)),multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,multiply(inverse(c3),
% multiply(B,inverse(B)))))) is composed into
% [205]
% inverse(inverse(multiply(multiply(C,inverse(C)),multiply(c3,inverse(c3)))))
% <->
% inverse(inverse(multiply(multiply(A,inverse(A)),multiply(c3,inverse(c3)))))
% New rule produced :
% [290]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(B,inverse(B))))))
% -> inverse(inverse(multiply(A,multiply(c3,inverse(c3)))))
% Rule
% [116]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))))
% -> inverse(inverse(multiply(A,multiply(c3,inverse(c3))))) collapsed.
% Rule
% [206]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,multiply(inverse(c3),
% multiply(B,inverse(B))))))
% <->
% inverse(inverse(multiply(multiply(C,inverse(C)),multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 1649
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [291]
% multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(B))),
% multiply(D,C))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1647
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [292]
% multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(D))),
% multiply(B,C))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1647
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [293]
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,multiply(D,
% inverse(
% multiply(V_5,
% inverse(V_5))))))))
% <->
% multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(C,inverse(C)),D))
% Current number of equations to process: 1646
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [294]
% multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(C,inverse(C)),D))
% <->
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,multiply(D,
% inverse(
% multiply(V_5,
% inverse(V_5))))))))
% Rule
% [2]
% inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,
% multiply(D,A)))),
% multiply(multiply(V_4,inverse(V_4)),C)))) -> D collapsed.
% Rule
% [32]
% multiply(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,A)))),
% multiply(multiply(V_4,inverse(V_4)),C))),D) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [168]
% inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,
% multiply(
% inverse(C),A)))),
% multiply(multiply(D,inverse(D)),c3)))) -> inverse(c3)
% collapsed.
% Rule
% [169]
% inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(D,inverse(D))))),
% multiply(multiply(V_4,inverse(V_4)),C)))) -> A
% collapsed.
% Current number of equations to process: 1650
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [295]
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))),
% inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 1650
% Current number of ordered equations: 1
% Current number of rules: 165
% Rule [295]
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4)))
% <->
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))),
% inverse(multiply(c3,inverse(c3)))) is composed into [295]
% inverse(multiply(
% inverse(
% multiply(D,
% multiply(V_4,C))),
% multiply(D,V_4)))
% <->
% inverse(multiply(
% inverse(
% multiply(c3,
% multiply(c3,C))),
% multiply(c3,c3)))
% New rule produced :
% [296]
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))),
% inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4)))
% Current number of equations to process: 1650
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [297]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(B,
% multiply(
% inverse(
% multiply(C,
% inverse(C))),D))),
% multiply(B,inverse(
% multiply(c3,
% inverse(c3))))))))
% -> inverse(D)
% Current number of equations to process: 1649
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [298]
% inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(D,
% inverse(D))))))))
% -> A
% Rule
% [117]
% inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3))))))))
% -> A collapsed.
% Current number of equations to process: 1655
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [299]
% multiply(D,inverse(D)) <->
% multiply(multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3))))))),A)
% Current number of equations to process: 1655
% Current number of ordered equations: 1
% Current number of rules: 168
% Rule [299]
% multiply(D,inverse(D)) <->
% multiply(multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3))))))),A) is composed into
% [299] multiply(D,inverse(D)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [300]
% multiply(multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3))))))),A)
% <-> multiply(D,inverse(D))
% Rule
% [165]
% multiply(multiply(inverse(A),multiply(multiply(c3,inverse(c3)),inverse(
% inverse(
% multiply(
% multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3))))))),A)
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 1655
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [301]
% multiply(multiply(c3,inverse(c3)),multiply(multiply(A,inverse(A)),inverse(
% multiply(
% inverse(
% multiply(B,
% inverse(B))),
% multiply(C,
% multiply(D,
% inverse(D)))))))
% -> inverse(C)
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [302]
% inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(
% multiply(C,
% multiply(D,A))),
% multiply(C,
% inverse(
% multiply(c3,
% inverse(c3))))))))))
% -> D
% Current number of equations to process: 1653
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [303]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(inverse(
% multiply(A,
% inverse(A))),
% multiply(B,C))),
% multiply(inverse(multiply(D,
% inverse(B))),D))))
% -> C
% Current number of equations to process: 1652
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [304]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(C,
% multiply(D,
% inverse(D)))),C))))
% Rule
% [118]
% inverse(multiply(multiply(D,inverse(D)),multiply(B,multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(C,
% multiply(c3,
% inverse(c3)))),C))))
% collapsed.
% Current number of equations to process: 1683
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [305]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(C,
% multiply(D,
% inverse(D)))),C))))
% <->
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,multiply(c3,inverse(c3)))))
% Rule
% [119]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(C,
% multiply(c3,
% inverse(c3)))),C))))
% <->
% inverse(multiply(multiply(D,inverse(D)),multiply(B,multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 1683
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [306]
% inverse(multiply(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,
% multiply(C,
% inverse(C)))),
% multiply(c3,inverse(c3)))),
% multiply(c3,inverse(c3)))) -> B
% Rule
% [120]
% inverse(multiply(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,
% multiply(c3,
% inverse(c3)))),
% multiply(c3,inverse(c3)))),
% multiply(c3,inverse(c3)))) -> B collapsed.
% Current number of equations to process: 1691
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [307]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,
% inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(D,
% multiply(c3,
% inverse(c3))))))))
% -> D
% Rule
% [121]
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(A,
% inverse(
% multiply(
% multiply(B,
% inverse(B)),
% multiply(C,
% multiply(c3,
% inverse(c3))))))))
% -> C collapsed.
% Current number of equations to process: 1702
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [308]
% multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),
% multiply(c3,inverse(c3)))) ->
% multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))
% Rule
% [122]
% multiply(multiply(A,inverse(A)),multiply(inverse(multiply(c3,inverse(c3))),
% multiply(c3,inverse(c3)))) ->
% multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))) collapsed.
% Rule
% [160]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),
% multiply(c3,inverse(c3))))) ->
% inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 1711
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [309]
% inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(D,inverse(D))))))))
% <->
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(V_4,
% inverse(V_4)),
% multiply(B,C))))))
% Rule
% [123]
% inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(c3,
% inverse(c3))))))))
% <->
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,
% inverse(D)),
% multiply(B,C))))))
% collapsed.
% Current number of equations to process: 1718
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [310]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(B,
% inverse(B)),
% inverse(C)))))) ->
% inverse(inverse(multiply(A,C)))
% Current number of equations to process: 1763
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [311]
% inverse(inverse(multiply(A,inverse(multiply(D,multiply(inverse(D),multiply(c3,
% inverse(c3))))))))
% <->
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C)))))))
% Current number of equations to process: 1765
% Current number of ordered equations: 1
% Current number of rules: 172
% Rule [311]
% inverse(inverse(multiply(A,inverse(multiply(D,multiply(inverse(D),
% multiply(c3,inverse(c3))))))))
% <->
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C))))))) is composed into
% [311]
% inverse(inverse(multiply(A,inverse(multiply(D,multiply(inverse(D),multiply(c3,
% inverse(c3))))))))
% <->
% inverse(inverse(multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(c3,
% inverse(c3))))))))
% New rule produced :
% [312]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C)))))))
% <->
% inverse(inverse(multiply(A,inverse(multiply(D,multiply(inverse(D),multiply(c3,
% inverse(c3))))))))
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [313]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D)))),V_4)))
% <->
% multiply(multiply(V_5,inverse(V_5)),inverse(multiply(multiply(B,C),multiply(V_4,
% multiply(V_6,
% inverse(V_6))))))
% Current number of equations to process: 1764
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [314]
% multiply(multiply(V_5,inverse(V_5)),inverse(multiply(multiply(B,C),multiply(V_4,
% multiply(V_6,
% inverse(V_6))))))
% <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D)))),V_4)))
% Rule
% [100]
% multiply(multiply(V_4,inverse(V_4)),inverse(multiply(multiply(B,C),multiply(D,
% multiply(V_5,
% inverse(V_5))))))
% <->
% inverse(multiply(inverse(multiply(c3,inverse(c3))),multiply(multiply(B,
% multiply(C,
% multiply(c3,
% inverse(c3)))),D)))
% collapsed.
% Current number of equations to process: 1764
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [315]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(inverse(multiply(
% multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3))))),
% multiply(multiply(C,inverse(C)),D))))
% -> inverse(D)
% Rule
% [229]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(inverse(multiply(
% multiply(A,
% inverse(A)),
% multiply(c3,
% inverse(c3))))),
% multiply(multiply(B,inverse(B)),C))))
% -> inverse(C) collapsed.
% Current number of equations to process: 1763
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [316]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(c3,
% inverse(c3))),B)))
% -> inverse(multiply(c3,multiply(inverse(c3),B)))
% Rule
% [128]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(c3,
% inverse(c3))),
% multiply(multiply(B,inverse(B)),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% collapsed.
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [317]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,
% inverse(A))),B)))
% -> inverse(multiply(c3,multiply(inverse(c3),B)))
% Rule
% [130]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,
% inverse(A))),
% multiply(multiply(B,inverse(B)),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))))
% collapsed.
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [318]
% multiply(multiply(A,multiply(inverse(A),multiply(B,inverse(B)))),multiply(c3,
% inverse(c3)))
% -> multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))
% Rule
% [131]
% multiply(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3)))),multiply(c3,
% inverse(c3)))
% -> multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))) collapsed.
% Current number of equations to process: 1776
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [319]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(B))),
% multiply(c3,inverse(c3))))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(multiply(C,
% inverse(C)),
% multiply(c3,inverse(c3)))))))
% Rule
% [132]
% inverse(multiply(B,multiply(multiply(inverse(B),multiply(c3,inverse(c3))),
% multiply(c3,inverse(c3))))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(multiply(A,
% inverse(A)),
% multiply(c3,inverse(c3)))))))
% collapsed.
% Current number of equations to process: 1791
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [320]
% inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B))))) <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(C,inverse(C)))))
% Rule
% [133]
% inverse(multiply(B,multiply(inverse(B),multiply(c3,inverse(c3))))) <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(A,inverse(A))))) collapsed.
% Rule
% [311]
% inverse(inverse(multiply(A,inverse(multiply(D,multiply(inverse(D),multiply(c3,
% inverse(c3))))))))
% <->
% inverse(inverse(multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(c3,
% inverse(c3))))))))
% collapsed.
% Current number of equations to process: 1793
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [321]
% multiply(multiply(A,multiply(inverse(A),multiply(B,inverse(B)))),inverse(
% multiply(C,
% multiply(
% inverse(C),
% multiply(c3,
% inverse(c3))))))
% -> multiply(c3,inverse(c3))
% Rule
% [135]
% multiply(multiply(c3,multiply(inverse(c3),multiply(A,inverse(A)))),inverse(
% multiply(B,
% multiply(
% inverse(B),
% multiply(c3,
% inverse(c3))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 1800
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [322]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,inverse(A))),
% multiply(B,inverse(B)))) ->
% multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))
% Current number of equations to process: 1845
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [323]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(multiply(A,inverse(A)),inverse(inverse(multiply(multiply(B,inverse(B)),
% multiply(c3,inverse(c3))))))
% Current number of equations to process: 1844
% Current number of ordered equations: 1
% Current number of rules: 175
% Rule [323]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(multiply(A,inverse(A)),inverse(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,inverse(c3)))))) is composed into
% [323]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3)))))
% New rule produced :
% [324]
% multiply(multiply(A,inverse(A)),inverse(inverse(multiply(multiply(B,inverse(B)),
% multiply(c3,inverse(c3))))))
% <-> inverse(inverse(inverse(multiply(C,inverse(C)))))
% Rule
% [257]
% multiply(inverse(multiply(A,B)),multiply(multiply(c3,inverse(c3)),inverse(
% inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3)))))))
% -> inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))) collapsed.
% Rule
% [280]
% multiply(inverse(multiply(A,multiply(multiply(B,inverse(B)),inverse(inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3)))))))),A)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [300]
% multiply(multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3))))))),A)
% <-> multiply(D,inverse(D)) collapsed.
% Current number of equations to process: 1847
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [325]
% multiply(inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))),A)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1846
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [326]
% multiply(multiply(inverse(A),inverse(inverse(inverse(multiply(C,inverse(C)))))),A)
% <-> multiply(D,inverse(D))
% Current number of equations to process: 1845
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [327]
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(C,inverse(C))))))
% -> inverse(multiply(A,multiply(B,multiply(c3,inverse(c3)))))
% Current number of equations to process: 1844
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [328]
% inverse(multiply(C,multiply(inverse(C),multiply(c3,inverse(c3))))) <->
% inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B)))))
% Rule
% [139]
% inverse(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3))))) <->
% inverse(multiply(B,multiply(inverse(B),multiply(c3,inverse(c3))))) collapsed.
% Current number of equations to process: 1846
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [329]
% multiply(inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B))))),
% multiply(C,inverse(C))) -> multiply(c3,inverse(c3))
% Rule
% [141]
% multiply(inverse(multiply(A,multiply(inverse(A),multiply(c3,inverse(c3))))),
% multiply(B,inverse(B))) -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 1858
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [330]
% multiply(multiply(A,B),inverse(multiply(c3,inverse(c3)))) -> multiply(A,B)
% Current number of equations to process: 1884
% Current number of ordered equations: 0
% Current number of rules: 177
% Rule [312]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C)))))))
% <->
% inverse(inverse(multiply(A,inverse(multiply(D,multiply(inverse(D),
% multiply(c3,inverse(c3)))))))) is composed into
% [312]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C)))))))
% -> inverse(inverse(inverse(inverse(multiply(A,multiply(c3,inverse(c3)))))))
% New rule produced :
% [331]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,inverse(C))))))
% -> inverse(inverse(multiply(A,multiply(c3,inverse(c3)))))
% Rule
% [214]
% inverse(multiply(inverse(c3),multiply(multiply(A,inverse(A)),multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(C,
% multiply(
% inverse(C),
% multiply(D,
% inverse(D)))))))))
% -> c3 collapsed.
% Rule
% [290]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(B,inverse(B))))))
% -> inverse(inverse(multiply(A,multiply(c3,inverse(c3))))) collapsed.
% Rule
% [321]
% multiply(multiply(A,multiply(inverse(A),multiply(B,inverse(B)))),inverse(
% multiply(C,
% multiply(
% inverse(C),
% multiply(c3,
% inverse(c3))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 1888
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [332]
% inverse(multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,inverse(c3)))))))
% -> c3
% Current number of equations to process: 1893
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [333]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% multiply(D,inverse(D))))) ->
% inverse(inverse(B))
% Current number of equations to process: 1902
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [334]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,
% inverse(c3)),B)))))))))
% -> B
% Rule
% [228]
% inverse(inverse(inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,
% inverse(c3)),B)))))))))))
% -> inverse(inverse(B)) collapsed.
% Current number of equations to process: 1930
% Current number of ordered equations: 0
% Current number of rules: 177
% Rule [319]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(B))),
% multiply(c3,inverse(c3))))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(multiply(C,
% inverse(C)),
% multiply(c3,inverse(c3))))))) is composed into
% [319]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(B))),
% multiply(c3,inverse(c3))))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% Rule [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(
% multiply(B,
% inverse(B)),
% multiply(C,
% inverse(C)))),D))) is composed into
% [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(inverse(
% multiply(B,
% inverse(B))))))),D)))
% Rule [278]
% inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(
% multiply(D,
% inverse(D)),
% multiply(A,B)))),C))))
% <->
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(c3,inverse(c3)))) is composed into
% [278]
% inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(multiply(D,
% inverse(D)),
% multiply(A,B)))),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(V_4,
% inverse(V_4)))))))
% Rule [248]
% inverse(inverse(multiply(inverse(multiply(V_4,multiply(V_5,D))),
% multiply(V_4,V_5)))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(
% multiply(B,
% inverse(B)),
% multiply(C,
% inverse(C)))),D))) is composed into
% [248]
% inverse(inverse(multiply(inverse(multiply(V_4,multiply(V_5,D))),multiply(V_4,V_5))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(inverse(
% multiply(B,
% inverse(B))))))),D)))
% Rule [247]
% inverse(multiply(A,multiply(B,inverse(inverse(multiply(inverse(multiply(C,
% multiply(D,
% multiply(A,B)))),
% multiply(C,D))))))) <->
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(c3,inverse(c3)))) is composed into
% [247]
% inverse(multiply(A,multiply(B,inverse(inverse(multiply(inverse(multiply(C,
% multiply(D,
% multiply(A,B)))),
% multiply(C,D))))))) <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(V_4,
% inverse(V_4)))))))
% Rule [183]
% inverse(multiply(inverse(multiply(C,multiply(D,inverse(inverse(A))))),
% multiply(C,D))) <->
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(B,
% inverse(B)))) is composed into
% [183]
% inverse(multiply(inverse(multiply(C,multiply(D,inverse(inverse(A))))),
% multiply(C,D))) ->
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(A,
% multiply(c3,
% inverse(c3)))))))))
% New rule produced :
% [335]
% inverse(multiply(B,multiply(C,inverse(C)))) <->
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(B)))))
% Rule
% [172]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% multiply(C,D),
% multiply(V_4,
% inverse(V_4)))))))
% -> inverse(multiply(C,multiply(D,multiply(c3,inverse(c3))))) collapsed.
% Rule
% [184]
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(B,
% inverse(B))))
% <->
% inverse(multiply(inverse(multiply(C,multiply(D,inverse(inverse(A))))),
% multiply(C,D))) collapsed.
% Rule
% [194]
% multiply(A,multiply(inverse(A),inverse(inverse(multiply(multiply(B,inverse(B)),
% multiply(c3,inverse(c3)))))))
% <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(multiply(c3,
% inverse(c3)),
% multiply(c3,inverse(c3)))))))
% collapsed.
% Rule
% [195]
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(multiply(c3,
% inverse(c3)),
% multiply(c3,inverse(c3)))))))
% <->
% multiply(A,multiply(inverse(A),inverse(inverse(multiply(multiply(B,inverse(B)),
% multiply(c3,inverse(c3)))))))
% collapsed.
% Rule
% [205]
% inverse(inverse(multiply(multiply(C,inverse(C)),multiply(c3,inverse(c3)))))
% <->
% inverse(inverse(multiply(multiply(A,inverse(A)),multiply(c3,inverse(c3)))))
% collapsed.
% Rule
% [207]
% inverse(multiply(inverse(multiply(A,multiply(inverse(A),B))),multiply(C,
% inverse(C))))
% <->
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% collapsed.
% Rule
% [245]
% multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(multiply(C,
% inverse(C)),
% multiply(c3,
% inverse(c3)))),
% multiply(multiply(D,inverse(D)),A))))
% -> inverse(A) collapsed.
% Rule
% [246]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(c3,inverse(c3)))) <->
% inverse(multiply(A,multiply(B,inverse(inverse(multiply(inverse(multiply(C,
% multiply(D,
% multiply(A,B)))),
% multiply(C,D))))))) collapsed.
% Rule
% [249]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C)))),D)))
% <->
% inverse(inverse(multiply(inverse(multiply(V_4,multiply(V_5,D))),multiply(V_4,V_5))))
% collapsed.
% Rule
% [256]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3)))),
% inverse(C)))) <->
% inverse(inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),
% multiply(D,C)))) collapsed.
% Rule
% [260]
% inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(inverse(multiply(C,
% inverse(C))),
% multiply(c3,inverse(c3))))),
% multiply(D,inverse(D))))) -> A collapsed.
% Rule
% [261]
% inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(inverse(multiply(C,
% inverse(C))),
% multiply(D,inverse(D))))),
% multiply(c3,inverse(c3))))) -> A collapsed.
% Rule
% [277]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(c3,inverse(c3)),multiply(c3,inverse(c3))))
% collapsed.
% Rule
% [282]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C)))),D)))
% <->
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% collapsed.
% Rule
% [284]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(C,
% inverse(C))),
% multiply(c3,inverse(c3))))))
% -> A collapsed.
% Rule
% [287]
% multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(multiply(
% inverse(multiply(C,
% inverse(C))),
% multiply(D,
% inverse(D))))))
% -> inverse(A) collapsed.
% Rule
% [298]
% inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(D,
% inverse(D))))))))
% -> A collapsed.
% Rule
% [306]
% inverse(multiply(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,
% multiply(C,
% inverse(C)))),
% multiply(c3,inverse(c3)))),
% multiply(c3,inverse(c3)))) -> B collapsed.
% Rule
% [315]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(inverse(multiply(
% multiply(B,
% inverse(B)),
% multiply(c3,
% inverse(c3))))),
% multiply(multiply(C,inverse(C)),D))))
% -> inverse(D) collapsed.
% Rule
% [324]
% multiply(multiply(A,inverse(A)),inverse(inverse(multiply(multiply(B,inverse(B)),
% multiply(c3,inverse(c3))))))
% <-> inverse(inverse(inverse(multiply(C,inverse(C))))) collapsed.
% Rule
% [333]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% multiply(D,inverse(D))))) ->
% inverse(inverse(B)) collapsed.
% Current number of equations to process: 1958
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [336]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(B))))) <->
% inverse(multiply(B,multiply(C,inverse(C))))
% Current number of equations to process: 1958
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [337]
% inverse(inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(C,
% inverse(C))))))))
% <->
% inverse(inverse(multiply(A,multiply(inverse(A),inverse(inverse(multiply(A,
% inverse(A))))))))
% Current number of equations to process: 1957
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [338]
% inverse(inverse(multiply(A,multiply(inverse(A),inverse(inverse(multiply(A,
% inverse(A))))))))
% <->
% inverse(inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(C,
% inverse(C))))))))
% Current number of equations to process: 1957
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [339]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% -> A
% Current number of equations to process: 1956
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [340]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(multiply(A,inverse(A)),inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(inverse(
% multiply(B,
% inverse(B)))))))))
% Current number of equations to process: 1957
% Current number of ordered equations: 1
% Current number of rules: 162
% Rule [340]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(multiply(A,inverse(A)),inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))) is composed into
% [340]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3)))))
% New rule produced :
% [341]
% multiply(multiply(A,inverse(A)),inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(inverse(
% multiply(B,
% inverse(B)))))))))
% <-> inverse(inverse(inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 1957
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [342]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,multiply(inverse(c3),
% inverse(inverse(inverse(
% multiply(B,
% multiply(C,
% inverse(C))))))))))
% -> inverse(inverse(B))
% Current number of equations to process: 1956
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [343]
% inverse(multiply(inverse(A),inverse(inverse(inverse(multiply(C,inverse(C)))))))
% -> A
% Rule
% [332]
% inverse(multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,inverse(c3)))))))
% -> c3 collapsed.
% Current number of equations to process: 1954
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [344]
% multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(
% multiply(A,B),
% multiply(D,
% inverse(D))))
% -> multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))
% Rule
% [164]
% multiply(inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))),multiply(
% multiply(A,B),
% multiply(c3,
% inverse(c3))))
% -> multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))) collapsed.
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [345]
% multiply(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,
% inverse(c3)),B)))))))),B)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 1952
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [346]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(B,
% multiply(
% inverse(B),
% multiply(
% multiply(C,
% inverse(C)),A)))))))))
% -> A
% Current number of equations to process: 1997
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [347]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(A,
% inverse(A)),B)))))))))
% -> B
% Current number of equations to process: 2047
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [348]
% multiply(B,multiply(inverse(B),multiply(c3,inverse(c3)))) <->
% multiply(c3,multiply(inverse(c3),multiply(A,inverse(A))))
% Current number of equations to process: 2066
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [349]
% multiply(c3,multiply(inverse(c3),multiply(A,inverse(A)))) <->
% multiply(B,multiply(inverse(B),multiply(c3,inverse(c3))))
% Rule
% [134]
% inverse(multiply(c3,multiply(inverse(c3),multiply(A,inverse(A))))) <->
% inverse(multiply(B,multiply(inverse(B),multiply(c3,inverse(c3))))) collapsed.
% Current number of equations to process: 2066
% Current number of ordered equations: 0
% Current number of rules: 168
% Rule [348]
% multiply(B,multiply(inverse(B),multiply(c3,inverse(c3)))) <->
% multiply(c3,multiply(inverse(c3),multiply(A,inverse(A)))) is composed into
% [348]
% multiply(B,multiply(inverse(B),multiply(c3,inverse(c3)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% Rule [320]
% inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B))))) <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(C,inverse(C))))) is composed into
% [320]
% inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B))))) <->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% inverse(c3)))))))
% Rule [258]
% multiply(inverse(C),multiply(c3,inverse(c3))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(c3)))))),
% multiply(B,C)))) is composed into
% [258]
% multiply(inverse(C),multiply(c3,inverse(c3))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(c3)))))))),
% multiply(B,C))))
% Rule [233]
% inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(inverse(
% multiply(c3,
% multiply(c3,B))),
% multiply(c3,c3))))
% -> inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))) is composed into
% [233]
% inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(inverse(
% multiply(c3,
% multiply(c3,B))),
% multiply(c3,c3)))) ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% inverse(c3)))))))
% Rule [138]
% multiply(A,multiply(inverse(A),multiply(B,inverse(B)))) <->
% multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))) is composed into
% [138]
% multiply(A,multiply(inverse(A),multiply(B,inverse(B)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% New rule produced :
% [350]
% multiply(A,multiply(B,inverse(B))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(A))))
% Rule
% [148]
% multiply(multiply(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,
% inverse(B)),C)))),
% multiply(D,inverse(D))),C) -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [170]
% inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(
% inverse(
% multiply(C,
% inverse(C))),
% multiply(D,A)))),
% multiply(V_4,inverse(V_4))))) -> D collapsed.
% Rule
% [173]
% multiply(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% multiply(C,D))))),multiply(V_4,
% inverse(V_4)))
% -> inverse(multiply(C,multiply(D,multiply(c3,inverse(c3))))) collapsed.
% Rule
% [235]
% inverse(multiply(multiply(A,multiply(B,inverse(B))),multiply(inverse(
% multiply(A,
% multiply(c3,
% inverse(c3)))),
% multiply(c3,inverse(c3)))))
% -> inverse(multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))))
% collapsed.
% Rule
% [244]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(C,inverse(C))))),D))))
% -> inverse(D) collapsed.
% Rule
% [252]
% inverse(multiply(inverse(A),multiply(inverse(multiply(c3,inverse(c3))),
% multiply(c3,inverse(c3))))) -> A collapsed.
% Rule
% [254]
% multiply(multiply(A,inverse(A)),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))),
% multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(D,inverse(D)),C)) collapsed.
% Rule
% [259]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% inverse(c3)))))),
% multiply(B,C)))) <->
% multiply(inverse(C),multiply(c3,inverse(c3))) collapsed.
% Rule
% [279]
% multiply(inverse(multiply(A,multiply(multiply(B,inverse(B)),multiply(
% multiply(C,
% inverse(C)),
% multiply(D,
% inverse(D)))))),A)
% -> inverse(multiply(c3,inverse(c3))) collapsed.
% Rule
% [308]
% multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),
% multiply(c3,inverse(c3)))) ->
% multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))) collapsed.
% Rule
% [312]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(B,
% inverse(B)),
% multiply(C,inverse(C)))))))
% -> inverse(inverse(inverse(inverse(multiply(A,multiply(c3,inverse(c3)))))))
% collapsed.
% Rule
% [318]
% multiply(multiply(A,multiply(inverse(A),multiply(B,inverse(B)))),multiply(c3,
% inverse(c3)))
% -> multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))) collapsed.
% Rule
% [319]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,inverse(B))),
% multiply(c3,inverse(c3))))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% collapsed.
% Rule
% [322]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,inverse(A))),
% multiply(B,inverse(B)))) ->
% multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))) collapsed.
% Rule
% [329]
% multiply(inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B))))),
% multiply(C,inverse(C))) -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [344]
% multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(
% multiply(A,B),
% multiply(D,
% inverse(D))))
% -> multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3)))) collapsed.
% Rule
% [349]
% multiply(c3,multiply(inverse(c3),multiply(A,inverse(A)))) <->
% multiply(B,multiply(inverse(B),multiply(c3,inverse(c3)))) collapsed.
% Current number of equations to process: 2113
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [351]
% multiply(c3,multiply(inverse(c3),inverse(inverse(A)))) <->
% multiply(A,multiply(B,inverse(B)))
% Current number of equations to process: 2113
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [352]
% inverse(multiply(inverse(A),multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))
% -> A
% Current number of equations to process: 2118
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [353]
% multiply(c3,multiply(inverse(c3),multiply(inverse(inverse(A)),B))) ->
% multiply(A,multiply(c3,multiply(inverse(c3),B)))
% Current number of equations to process: 2168
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [354]
% inverse(inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% inverse(c3))))))))
% <-> multiply(A,inverse(A))
% Current number of equations to process: 2167
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [355]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(c3,multiply(
% inverse(c3),A)))))
% Current number of equations to process: 2170
% Current number of ordered equations: 1
% Current number of rules: 157
% Rule [355]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(c3,multiply(
% inverse(c3),A))))) is composed into
% [355]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3)))))
% Rule [218]
% multiply(inverse(multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),A)))),
% multiply(D,V_4)) <->
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B))))))) is composed into
% [218]
% multiply(inverse(multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),A)))),
% multiply(D,V_4)) <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% Rule [216]
% multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),inverse(
% multiply(A,
% multiply(D,V_4))))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B))))))) is composed into
% [216]
% multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),inverse(multiply(A,
% multiply(D,V_4))))))
% <-> inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% New rule produced :
% [356]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(c3,multiply(
% inverse(c3),A)))))
% <-> inverse(inverse(inverse(multiply(C,inverse(C)))))
% Rule
% [215]
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))
% <->
% multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),inverse(multiply(A,
% multiply(D,V_4))))))
% collapsed.
% Rule
% [217]
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))
% <->
% inverse(multiply(A,multiply(c3,multiply(multiply(c3,inverse(c3)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),c3)))))))
% collapsed.
% Rule
% [219]
% inverse(inverse(multiply(D,multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(inverse(c3),B))))))))
% -> D collapsed.
% Rule
% [220]
% multiply(inverse(multiply(D,multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(inverse(c3),B))))))),D)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [221]
% inverse(multiply(multiply(D,V_4),multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(
% inverse(c3),B)))))))
% -> inverse(multiply(D,multiply(V_4,multiply(c3,inverse(c3))))) collapsed.
% Rule
% [262]
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))
% <->
% multiply(inverse(A),multiply(D,multiply(multiply(V_4,inverse(V_4)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),D))))))
% collapsed.
% Rule
% [263]
% multiply(inverse(A),multiply(D,multiply(multiply(V_4,inverse(V_4)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),D))))))
% <->
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))
% collapsed.
% Rule
% [267]
% inverse(multiply(inverse(multiply(D,multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(
% inverse(c3),B))))))),
% multiply(D,inverse(inverse(c3))))) ->
% inverse(multiply(c3,multiply(c3,inverse(c3)))) collapsed.
% Current number of equations to process: 2175
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [357]
% inverse(inverse(multiply(D,inverse(inverse(inverse(multiply(C,inverse(C))))))))
% -> D
% Current number of equations to process: 2174
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [358]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) <->
% multiply(inverse(A),inverse(inverse(inverse(multiply(c3,inverse(c3))))))
% Current number of equations to process: 2173
% Current number of ordered equations: 1
% Current number of rules: 152
% Rule [358]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% <->
% multiply(inverse(A),inverse(inverse(inverse(multiply(c3,inverse(c3)))))) is composed into
% [358]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(c3,inverse(c3)))))))
% New rule produced :
% [359]
% multiply(inverse(A),inverse(inverse(inverse(multiply(c3,inverse(c3)))))) <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% Rule
% [352]
% inverse(multiply(inverse(A),multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))
% -> A collapsed.
% Current number of equations to process: 2174
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [360]
% inverse(multiply(multiply(D,V_4),inverse(inverse(inverse(multiply(C,inverse(C)))))))
% -> inverse(multiply(D,multiply(V_4,multiply(c3,inverse(c3)))))
% Current number of equations to process: 2173
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [361]
% inverse(multiply(inverse(A),multiply(c3,inverse(multiply(c3,inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))))
% -> A
% Current number of equations to process: 2172
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [362]
% multiply(multiply(A,multiply(inverse(A),B)),inverse(multiply(C,multiply(
% inverse(C),B))))
% -> multiply(c3,inverse(c3))
% Rule
% [64]
% multiply(multiply(A,multiply(inverse(A),B)),inverse(multiply(c3,multiply(
% inverse(c3),B))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [250]
% multiply(multiply(c3,multiply(inverse(c3),A)),inverse(multiply(B,multiply(
% inverse(B),A))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 2181
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [363]
% multiply(B,multiply(inverse(B),multiply(inverse(inverse(c3)),A))) ->
% multiply(c3,multiply(c3,multiply(inverse(c3),A)))
% Current number of equations to process: 2195
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [364]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C))) <->
% multiply(D,multiply(inverse(D),multiply(multiply(V_4,inverse(V_4)),C)))
% Rule
% [149]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C))) <->
% multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C)))
% collapsed.
% Rule
% [150]
% multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))) <->
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C)))
% collapsed.
% Current number of equations to process: 2194
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [365]
% multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(
% multiply(A,B),D))
% -> multiply(c3,multiply(inverse(c3),D))
% Current number of equations to process: 2193
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [366]
% multiply(c3,multiply(inverse(c3),inverse(multiply(A,inverse(A))))) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 2192
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [367]
% inverse(multiply(inverse(multiply(D,inverse(inverse(inverse(multiply(C,
% inverse(C))))))),
% multiply(D,inverse(inverse(c3))))) ->
% inverse(multiply(c3,multiply(c3,inverse(c3))))
% Current number of equations to process: 2193
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [368]
% inverse(multiply(inverse(c3),multiply(inverse(inverse(A)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(A,
% multiply(C,
% inverse(C))))))))
% -> c3
% Current number of equations to process: 2192
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [369]
% inverse(multiply(B,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(B),A)))))))
% <->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% inverse(c3),A)))))))
% Current number of equations to process: 2191
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [370]
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% inverse(c3),A)))))))
% <->
% inverse(multiply(B,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(B),A)))))))
% Current number of equations to process: 2191
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [371]
% multiply(inverse(D),C) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% multiply(
% inverse(c3),C)))),
% multiply(B,D))))
% Rule
% [167]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(C,
% multiply(
% inverse(C),
% multiply(
% multiply(D,
% inverse(D)),B)))),c3))))
% -> inverse(c3) collapsed.
% Rule
% [296]
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))),
% inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4)))
% collapsed.
% Current number of equations to process: 2191
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [372]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% multiply(
% inverse(c3),C)))),
% multiply(B,D)))) <->
% multiply(inverse(D),C)
% Current number of equations to process: 2191
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [373]
% multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(D,
% multiply(A,B)))))),
% multiply(D,V_4)) -> multiply(c3,multiply(inverse(c3),V_4))
% Rule
% [266]
% inverse(multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(D,multiply(A,B)))))),
% multiply(D,inverse(inverse(c3))))) ->
% inverse(multiply(c3,multiply(c3,inverse(c3)))) collapsed.
% Current number of equations to process: 2185
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [374]
% inverse(inverse(inverse(multiply(B,multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% multiply(
% inverse(B),A)))))))))
% -> inverse(multiply(c3,multiply(inverse(c3),A)))
% Current number of equations to process: 2186
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [375]
% multiply(multiply(A,inverse(A)),multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [376]
% multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))) <->
% multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,inverse(A))),
% multiply(multiply(B,inverse(B)),C)))
% Current number of equations to process: 2204
% Current number of ordered equations: 1
% Current number of rules: 162
% Rule [376]
% multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C)))
% <->
% multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,inverse(A))),
% multiply(multiply(B,inverse(B)),C))) is composed into
% [376]
% multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))) <->
% multiply(c3,multiply(inverse(c3),multiply(multiply(c3,inverse(c3)),C)))
% New rule produced :
% [377]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,inverse(A))),
% multiply(multiply(B,inverse(B)),C))) <->
% multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C)))
% Current number of equations to process: 2204
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [378]
% inverse(inverse(multiply(A,inverse(multiply(D,multiply(V_4,multiply(c3,
% inverse(c3))))))))
% <->
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(multiply(C,
% inverse(C)),
% multiply(D,V_4))))))
% Current number of equations to process: 2203
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [379]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(multiply(C,
% inverse(C)),
% multiply(D,V_4)))))) <->
% inverse(inverse(multiply(A,inverse(multiply(D,multiply(V_4,multiply(c3,
% inverse(c3))))))))
% Rule
% [124]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,
% inverse(D)),
% multiply(B,C)))))) <->
% inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(c3,
% inverse(c3))))))))
% collapsed.
% Current number of equations to process: 2203
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [380]
% inverse(multiply(A,multiply(multiply(inverse(A),B),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(c3,
% multiply(inverse(c3),B))))))))
% -> D
% Current number of equations to process: 2202
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [381]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% multiply(c3,multiply(inverse(c3),D)))))
% -> inverse(multiply(inverse(B),D))
% Current number of equations to process: 2201
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [382]
% multiply(A,multiply(inverse(A),multiply(c3,multiply(inverse(c3),B)))) <->
% multiply(c3,multiply(inverse(c3),multiply(multiply(C,inverse(C)),multiply(
% inverse(
% multiply(D,
% inverse(D))),B))))
% Current number of equations to process: 2200
% Current number of ordered equations: 1
% Current number of rules: 167
% Rule [382]
% multiply(A,multiply(inverse(A),multiply(c3,multiply(inverse(c3),B))))
% <->
% multiply(c3,multiply(inverse(c3),multiply(multiply(C,inverse(C)),
% multiply(inverse(multiply(D,inverse(D))),B)))) is composed into
% [382]
% multiply(A,multiply(inverse(A),multiply(c3,multiply(inverse(c3),B)))) <->
% multiply(c3,multiply(inverse(c3),multiply(c3,multiply(inverse(c3),B))))
% New rule produced :
% [383]
% multiply(c3,multiply(inverse(c3),multiply(multiply(C,inverse(C)),multiply(
% inverse(
% multiply(D,
% inverse(D))),B))))
% <-> multiply(A,multiply(inverse(A),multiply(c3,multiply(inverse(c3),B))))
% Current number of equations to process: 2200
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [384]
% multiply(B,multiply(inverse(B),multiply(multiply(C,inverse(C)),multiply(
% inverse(
% multiply(D,
% inverse(D))),A))))
% -> multiply(c3,multiply(inverse(c3),multiply(c3,multiply(inverse(c3),A))))
% Rule
% [383]
% multiply(c3,multiply(inverse(c3),multiply(multiply(C,inverse(C)),multiply(
% inverse(
% multiply(D,
% inverse(D))),B))))
% <-> multiply(A,multiply(inverse(A),multiply(c3,multiply(inverse(c3),B))))
% collapsed.
% Current number of equations to process: 2199
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [385]
% inverse(multiply(c3,multiply(multiply(inverse(c3),A),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(C,
% multiply(D,
% multiply(
% inverse(D),A))))))))
% -> C
% Current number of equations to process: 2198
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [386]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% multiply(B,inverse(B)))),
% multiply(C,multiply(inverse(C),D)))))
% -> inverse(multiply(inverse(c3),D))
% Current number of equations to process: 2196
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [387]
% multiply(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,
% multiply(
% inverse(A),
% multiply(
% multiply(B,
% inverse(B)),C)))))))),C)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2195
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [388]
% multiply(A,inverse(B)) <->
% multiply(c3,multiply(inverse(c3),multiply(multiply(C,inverse(C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(D))),
% multiply(B,
% inverse(A)))))))
% Rule
% [190]
% multiply(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,
% inverse(A))),B)),
% inverse(multiply(c3,multiply(inverse(c3),B)))) -> multiply(c3,inverse(c3))
% collapsed.
% Current number of equations to process: 2195
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [389]
% multiply(c3,multiply(inverse(c3),multiply(multiply(C,inverse(C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(D))),
% multiply(B,
% inverse(A)))))))
% <-> multiply(A,inverse(B))
% Current number of equations to process: 2195
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [390]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(C,
% multiply(
% inverse(C),
% multiply(
% multiply(D,
% inverse(D)),B)))),V_4))))
% -> inverse(V_4)
% Rule
% [82]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(C,
% inverse(C)),B)))),D))))
% -> inverse(D) collapsed.
% Current number of equations to process: 2194
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [391]
% multiply(B,multiply(inverse(B),multiply(multiply(C,inverse(C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(D))),
% multiply(A,
% inverse(c3)))))))
% -> multiply(c3,inverse(A))
% Current number of equations to process: 2193
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [392]
% inverse(multiply(inverse(inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(D,
% inverse(D)),B))))),C))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(c3,multiply(
% inverse(c3),C)))))
% Current number of equations to process: 2192
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [393]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% multiply(
% inverse(A),B))))))),
% multiply(c3,multiply(inverse(c3),B))) -> multiply(c3,inverse(c3))
% Current number of equations to process: 2190
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [394]
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% multiply(
% inverse(c3),A))))))),
% multiply(B,multiply(inverse(B),A))) -> multiply(c3,inverse(c3))
% Current number of equations to process: 2187
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [395]
% multiply(multiply(inverse(c3),multiply(inverse(inverse(A)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(A,
% multiply(C,
% inverse(C))))))),c3)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2186
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [396]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(inverse(
% multiply(c3,
% inverse(c3))))))),
% multiply(c3,multiply(inverse(c3),
% inverse(inverse(
% multiply(C,
% inverse(C)))))))))
% -> inverse(multiply(c3,inverse(c3)))
% Current number of equations to process: 2185
% Current number of ordered equations: 0
% Current number of rules: 178
% Rule [102]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% <->
% inverse(multiply(V_4,multiply(inverse(multiply(V_5,multiply(C,multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5))) is composed into
% [102]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),C))))))))
% Rule [69]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) <->
% inverse(multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(
% multiply(V_5,
% inverse(V_5)),D)))),V_4))) is composed into
% [69]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),C))))))))
% New rule produced :
% [397]
% inverse(multiply(B,multiply(inverse(multiply(C,multiply(A,multiply(multiply(D,
% inverse(D)),B)))),C)))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),A))))))))
% Rule
% [12]
% multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(inverse(multiply(D,
% multiply(A,
% multiply(
% multiply(V_4,
% inverse(V_4)),C)))),D))))
% -> A collapsed.
% Rule
% [101]
% inverse(multiply(V_4,multiply(inverse(multiply(V_5,multiply(C,multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5)))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% collapsed.
% Rule
% [185]
% inverse(multiply(D,multiply(inverse(multiply(V_4,multiply(B,multiply(
% multiply(V_5,
% inverse(V_5)),D)))),V_4)))
% <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,B)),
% multiply(c3,multiply(c3,inverse(c3))))))
% collapsed.
% Rule
% [196]
% inverse(multiply(A,multiply(inverse(multiply(B,multiply(C,multiply(multiply(D,
% inverse(D)),A)))),B)))
% <->
% inverse(multiply(V_4,multiply(inverse(multiply(V_5,multiply(C,multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5)))
% collapsed.
% Rule
% [240]
% inverse(multiply(V_4,multiply(inverse(multiply(V_5,multiply(C,multiply(
% multiply(V_6,
% inverse(V_6)),V_4)))),V_5)))
% <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,C)),
% multiply(c3,multiply(c3,inverse(c3))))))
% collapsed.
% Current number of equations to process: 2184
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [398]
% multiply(multiply(B,inverse(B)),inverse(multiply(c3,multiply(inverse(c3),
% inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),A)))))))))
% -> A
% Current number of equations to process: 2183
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [399]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(C,multiply(
% inverse(C),
% inverse(
% inverse(A))))))
% -> multiply(c3,inverse(c3))
% Rule
% [155]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(A))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 2208
% Current number of ordered equations: 0
% Current number of rules: 175
% Rule [213]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% inverse(B))),
% multiply(C,multiply(D,inverse(D))))))
% <->
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,inverse(C)))),
% multiply(V_4,V_5))) is composed into [213]
% multiply(multiply(A,
% inverse(A)),
% inverse(multiply(inverse(
% multiply(B,
% inverse(B))),
% multiply(C,
% multiply(D,
% inverse(D)))))) ->
% inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(C)))))))))
% Rule [182]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% <->
% inverse(multiply(inverse(multiply(D,multiply(V_4,inverse(C)))),multiply(D,V_4))) is composed into
% [182]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(C)))))))))
% Rule [177]
% inverse(multiply(inverse(multiply(A,inverse(A))),multiply(inverse(
% multiply(B,
% multiply(C,
% multiply(D,
% inverse(D))))),B)))
% <->
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,V_5))) is composed into
% [177]
% inverse(multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D))))),B)))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),C))))))))
% Rule [175]
% multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(multiply(V_5,
% inverse(V_5)),D)))),V_4))
% <-> multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)) is composed into
% [175]
% multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(multiply(V_5,
% inverse(V_5)),D)))),V_4))
% ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),C)))))))
% Rule [81]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% <->
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,V_5))) is composed into
% [81]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),C))))))))
% New rule produced :
% [400]
% multiply(inverse(multiply(B,multiply(C,A))),multiply(B,C)) ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),A)))))))
% Rule
% [27]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,D))),
% multiply(B,C)))) -> D collapsed.
% Rule
% [69]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B))) ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),C))))))))
% collapsed.
% Rule
% [80]
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,V_5)))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% collapsed.
% Rule
% [89]
% multiply(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)),inverse(
% multiply(
% inverse(
% multiply(D,
% multiply(V_4,C))),
% multiply(D,V_4))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [140]
% multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(A,B))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [161]
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,B)) <->
% multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4)) collapsed.
% Rule
% [176]
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,V_5)))
% <->
% inverse(multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D))))),B)))
% collapsed.
% Rule
% [181]
% inverse(multiply(inverse(multiply(D,multiply(V_4,inverse(C)))),multiply(D,V_4)))
% <->
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% collapsed.
% Rule
% [183]
% inverse(multiply(inverse(multiply(C,multiply(D,inverse(inverse(A))))),
% multiply(C,D))) ->
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(A,
% multiply(c3,
% inverse(c3)))))))))
% collapsed.
% Rule
% [193]
% inverse(multiply(inverse(A),multiply(B,inverse(inverse(multiply(multiply(c3,
% inverse(c3)),
% multiply(inverse(
% multiply(c3,
% multiply(c3,B))),
% multiply(c3,c3))))))))
% -> A collapsed.
% Rule
% [212]
% inverse(multiply(inverse(multiply(V_4,multiply(V_5,inverse(C)))),multiply(V_4,V_5)))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(C,multiply(D,inverse(D))))))
% collapsed.
% Rule
% [218]
% multiply(inverse(multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),A)))),
% multiply(D,V_4)) <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% collapsed.
% Rule
% [233]
% inverse(multiply(multiply(A,multiply(inverse(A),B)),multiply(inverse(
% multiply(c3,
% multiply(c3,B))),
% multiply(c3,c3)))) ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% inverse(c3)))))))
% collapsed.
% Rule
% [247]
% inverse(multiply(A,multiply(B,inverse(inverse(multiply(inverse(multiply(C,
% multiply(D,
% multiply(A,B)))),
% multiply(C,D))))))) <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(V_4,
% inverse(V_4)))))))
% collapsed.
% Rule
% [248]
% inverse(inverse(multiply(inverse(multiply(V_4,multiply(V_5,D))),multiply(V_4,V_5))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(inverse(
% multiply(B,
% inverse(B))))))),D)))
% collapsed.
% Rule
% [295]
% inverse(multiply(inverse(multiply(D,multiply(V_4,C))),multiply(D,V_4))) <->
% inverse(multiply(inverse(multiply(c3,multiply(c3,C))),multiply(c3,c3)))
% collapsed.
% Current number of equations to process: 2216
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [401]
% inverse(multiply(inverse(A),multiply(inverse(inverse(c3)),inverse(inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,
% inverse(c3)),c3)))))))))
% -> A
% Current number of equations to process: 2233
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [402]
% inverse(multiply(C,inverse(C))) <->
% multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),A)))))))))
% Current number of equations to process: 2231
% Current number of ordered equations: 2
% Current number of rules: 162
% Rule [402]
% inverse(multiply(C,inverse(C))) <->
% multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),A))))))))) is composed into
% [402] inverse(multiply(C,inverse(C))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [403]
% multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),A)))))))))
% <-> inverse(multiply(C,inverse(C)))
% Current number of equations to process: 2231
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [404]
% multiply(inverse(inverse(c3)),multiply(multiply(multiply(A,inverse(A)),
% inverse(multiply(c3,multiply(B,
% inverse(B))))),
% multiply(multiply(C,inverse(C)),D))) -> D
% Rule
% [234]
% inverse(multiply(inverse(inverse(c3)),multiply(multiply(multiply(A,inverse(A)),
% inverse(multiply(c3,multiply(c3,
% inverse(c3))))),
% multiply(multiply(B,inverse(B)),C))))
% -> inverse(C) collapsed.
% Current number of equations to process: 2231
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [405]
% inverse(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(c3)))))))))
% -> c3
% Current number of equations to process: 2247
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [406]
% inverse(multiply(multiply(D,inverse(D)),inverse(multiply(c3,multiply(
% inverse(c3),B)))))
% <-> multiply(multiply(A,inverse(A)),multiply(B,multiply(C,inverse(C))))
% Current number of equations to process: 2251
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [407]
% multiply(multiply(A,inverse(A)),multiply(B,multiply(C,inverse(C)))) <->
% inverse(multiply(multiply(D,inverse(D)),inverse(multiply(c3,multiply(
% inverse(c3),B)))))
% Current number of equations to process: 2251
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [408]
% multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,
% multiply(
% inverse(C),A)))),
% multiply(multiply(D,inverse(D)),V_4))) -> V_4
% Rule
% [162]
% multiply(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(c3,
% multiply(
% inverse(c3),B)))),
% multiply(multiply(D,inverse(D)),A))) -> A collapsed.
% Current number of equations to process: 2257
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [409]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(
% multiply(D,
% inverse(D)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),A)))))))
% <-> multiply(A,inverse(B))
% Current number of equations to process: 2256
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [410]
% multiply(A,inverse(B)) <->
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(
% multiply(D,
% inverse(D)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),A)))))))
% Current number of equations to process: 2256
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [411]
% multiply(multiply(A,inverse(A)),multiply(inverse(inverse(c3)),multiply(
% multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(c3,
% multiply(C,
% inverse(C))))),D)))
% -> D
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [412]
% multiply(multiply(A,inverse(A)),multiply(B,multiply(c3,multiply(inverse(c3),C))))
% <->
% multiply(inverse(multiply(multiply(D,inverse(D)),inverse(multiply(c3,
% multiply(inverse(c3),B))))),C)
% Current number of equations to process: 2267
% Current number of ordered equations: 1
% Current number of rules: 170
% Rule [412]
% multiply(multiply(A,inverse(A)),multiply(B,multiply(c3,multiply(
% inverse(c3),C))))
% <->
% multiply(inverse(multiply(multiply(D,inverse(D)),inverse(multiply(c3,
% multiply(
% inverse(c3),B))))),C) is composed into
% [412]
% multiply(multiply(A,inverse(A)),multiply(B,multiply(c3,multiply(inverse(c3),C))))
% <->
% multiply(multiply(c3,inverse(c3)),multiply(B,multiply(c3,multiply(inverse(c3),C))))
% New rule produced :
% [413]
% multiply(inverse(multiply(multiply(D,inverse(D)),inverse(multiply(c3,
% multiply(inverse(c3),B))))),C)
% <->
% multiply(multiply(A,inverse(A)),multiply(B,multiply(c3,multiply(inverse(c3),C))))
% Current number of equations to process: 2267
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [414]
% multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(
% inverse(D),B)))),V_4)))
% -> V_4
% Rule
% [163]
% multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(multiply(C,
% inverse(C)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),B)))),D)))
% -> D collapsed.
% Current number of equations to process: 2266
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [415]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(multiply(V_5,
% inverse(V_5)),A))))))))
% Current number of equations to process: 2265
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [416]
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(multiply(V_5,
% inverse(V_5)),A))))))))
% <-> inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% Current number of equations to process: 2265
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [417]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))))
% -> inverse(inverse(inverse(inverse(multiply(A,multiply(c3,inverse(c3)))))))
% Current number of equations to process: 2264
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [418]
% inverse(multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(A,B)))))))
% ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% inverse(c3)))))))
% Current number of equations to process: 2263
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [419]
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(inverse(
% multiply(V_5,
% inverse(V_5))),
% multiply(D,B))))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% inverse(D))))
% Current number of equations to process: 2260
% Current number of ordered equations: 3
% Current number of rules: 176
% New rule produced :
% [420]
% inverse(inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(D,
% inverse(D)))))))))))
% <-> multiply(multiply(A,inverse(A)),inverse(inverse(B)))
% Current number of equations to process: 2260
% Current number of ordered equations: 2
% Current number of rules: 177
% New rule produced :
% [421]
% multiply(multiply(A,inverse(A)),inverse(inverse(B))) <->
% inverse(inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(D,
% inverse(D)))))))))))
% Current number of equations to process: 2260
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [422]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% inverse(D)))) <->
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(inverse(
% multiply(V_5,
% inverse(V_5))),
% multiply(D,B)))))
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [423]
% multiply(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,
% inverse(B))))))),
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,inverse(A))))) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 2259
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [424]
% inverse(inverse(multiply(multiply(c3,inverse(c3)),multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(A))),B))))))))
% -> multiply(c3,multiply(inverse(c3),B))
% Current number of equations to process: 2258
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [425]
% multiply(multiply(inverse(A),B),multiply(multiply(C,inverse(C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(D))),
% multiply(c3,
% multiply(
% inverse(c3),B))))))
% -> inverse(A)
% Current number of equations to process: 2257
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [426]
% inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(C,inverse(C))),
% multiply(B,multiply(c3,inverse(c3))))))))
% ->
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(c3,multiply(
% inverse(c3),B))))))
% Current number of equations to process: 2256
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [427]
% multiply(multiply(inverse(c3),A),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(C))),
% multiply(D,
% multiply(
% inverse(D),A))))))
% -> inverse(c3)
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [428]
% multiply(multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(
% inverse(C),A)))))),
% multiply(c3,D)) -> multiply(c3,multiply(inverse(c3),D))
% Current number of equations to process: 2254
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [429]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(A,
% multiply(c3,
% inverse(c3)))))))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(A))))))))))
% Current number of equations to process: 2253
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [430]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(A))))))))))
% <->
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(A,
% multiply(c3,
% inverse(c3)))))))))
% Current number of equations to process: 2253
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [431]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(A,
% multiply(
% inverse(A),B))))))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),B))))))))
% Current number of equations to process: 2252
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [432]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),B))))))))
% <->
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(A,
% multiply(
% inverse(A),B))))))))
% Current number of equations to process: 2252
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [433]
% inverse(multiply(inverse(c3),multiply(multiply(inverse(inverse(A)),B),
% multiply(multiply(C,inverse(C)),inverse(
% multiply(A,
% multiply(c3,
% multiply(
% inverse(c3),B))))))))
% -> c3
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [434]
% multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(c3,
% multiply(
% inverse(c3),A)))),
% multiply(c3,multiply(inverse(c3),C)))) <->
% multiply(inverse(multiply(D,inverse(D))),C)
% Current number of equations to process: 2247
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [435]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(A,
% inverse(A)),B)))))))))
% -> B
% Current number of equations to process: 2257
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [436]
% inverse(multiply(inverse(multiply(C,multiply(B,multiply(multiply(D,inverse(D)),A)))),C))
% ->
% inverse(multiply(inverse(A),inverse(inverse(inverse(multiply(c3,multiply(
% inverse(c3),B)))))))
% Current number of equations to process: 2275
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [437]
% multiply(inverse(multiply(A,multiply(multiply(B,inverse(B)),C))),multiply(A,
% multiply(D,
% inverse(D))))
% ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),C)))))))
% Rule
% [239]
% multiply(multiply(inverse(multiply(A,multiply(multiply(c3,inverse(c3)),
% multiply(multiply(B,inverse(B)),C)))),
% multiply(A,multiply(D,inverse(D)))),C) -> multiply(c3,inverse(c3))
% collapsed.
% Rule
% [276]
% inverse(multiply(inverse(multiply(A,multiply(multiply(B,inverse(B)),C))),
% multiply(A,multiply(D,inverse(D))))) <->
% multiply(multiply(V_4,inverse(V_4)),inverse(multiply(inverse(multiply(V_5,C)),
% multiply(V_5,multiply(V_6,
% inverse(V_6))))))
% collapsed.
% Current number of equations to process: 2274
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [438]
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(B,
% inverse(B)),A)))),C))
% ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(C))))))))
% Current number of equations to process: 2273
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [439]
% multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D))))),B))
% ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),C)))))))
% Rule
% [171]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(inverse(multiply(C,multiply(D,
% multiply(V_4,
% inverse(V_4))))),C))))
% -> D collapsed.
% Rule
% [177]
% inverse(multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D))))),B)))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),C))))))))
% collapsed.
% Current number of equations to process: 2272
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [440]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(multiply(c3,
% inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))))
% -> inverse(multiply(c3,inverse(c3)))
% Current number of equations to process: 2296
% Current number of ordered equations: 0
% Current number of rules: 193
% Rule [304]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,multiply(c3,
% inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(
% multiply(C,
% multiply(D,
% inverse(D)))),C)))) is composed into
% [304]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(multiply(c3,
% inverse(
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))))))
% Rule [77]
% multiply(multiply(A,inverse(A)),B) <->
% inverse(multiply(multiply(C,inverse(C)),inverse(multiply(B,multiply(
% inverse(
% multiply(D,
% multiply(c3,
% inverse(c3)))),D))))) is composed into
% [77]
% multiply(multiply(A,inverse(A)),B) <->
% inverse(multiply(multiply(C,inverse(C)),inverse(multiply(B,inverse(inverse(
% multiply(c3,
% inverse(
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))))))))
% New rule produced :
% [441]
% multiply(inverse(multiply(A,multiply(B,inverse(B)))),A) ->
% inverse(inverse(multiply(c3,inverse(multiply(c3,inverse(inverse(inverse(
% multiply(c3,
% inverse(c3))))))))))
% Rule
% [189]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(
% multiply(C,
% multiply(D,
% inverse(D)))),C)))))
% <-> multiply(multiply(V_4,inverse(V_4)),B) collapsed.
% Rule
% [199]
% inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(multiply(C,
% inverse(C))),
% multiply(inverse(multiply(D,
% multiply(c3,
% inverse(c3)))),D)))))
% <-> multiply(A,inverse(A)) collapsed.
% Rule
% [305]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(inverse(multiply(C,
% multiply(D,
% inverse(D)))),C))))
% <->
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 2303
% Current number of ordered equations: 0
% Current number of rules: 191
% Rule [211]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,
% inverse(C))),
% multiply(V_4,multiply(V_5,
% inverse(V_5))))))
% <->
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C))) is composed into
% [211]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,
% inverse(C))),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(C)))))))))
% New rule produced :
% [442]
% multiply(inverse(multiply(B,multiply(C,inverse(C)))),multiply(B,A)) ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(A))))))))
% Rule
% [142]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% multiply(B,D)))) -> inverse(D)
% collapsed.
% Rule
% [182]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(C)))))))))
% collapsed.
% Rule
% [210]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% <->
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,
% inverse(C))),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% collapsed.
% Rule
% [268]
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(A,
% multiply(B,
% multiply(
% inverse(B),C)))))
% <->
% inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),multiply(D,
% multiply(c3,
% multiply(
% inverse(c3),C)))))
% collapsed.
% Rule
% [269]
% inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),multiply(D,
% multiply(c3,
% multiply(
% inverse(c3),C)))))
% <->
% inverse(multiply(inverse(multiply(A,multiply(c3,inverse(c3)))),multiply(A,
% multiply(B,
% multiply(
% inverse(B),C)))))
% collapsed.
% Rule
% [271]
% inverse(inverse(multiply(inverse(multiply(c3,multiply(c3,inverse(c3)))),
% multiply(c3,C)))) <->
% inverse(inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),
% multiply(A,C)))) collapsed.
% Rule
% [272]
% inverse(inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),
% multiply(A,C)))) <->
% inverse(inverse(multiply(inverse(multiply(c3,multiply(c3,inverse(c3)))),
% multiply(c3,C)))) collapsed.
% Rule
% [307]
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,
% inverse(
% multiply(
% multiply(C,
% inverse(C)),
% multiply(D,
% multiply(c3,
% inverse(c3))))))))
% -> D collapsed.
% Current number of equations to process: 2311
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [443]
% inverse(multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(A),
% inverse(
% inverse(c3)))))))))
% ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(c3,
% inverse(c3))))))))
% Current number of equations to process: 2311
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [444]
% multiply(multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(C,
% inverse(C))))))),A)
% -> multiply(c3,inverse(c3))
% Rule
% [187]
% multiply(multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(c3,
% inverse(c3))))))),A)
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 2310
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [445]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% multiply(c3,multiply(c3,inverse(c3))))))
% -> inverse(multiply(inverse(B),inverse(inverse(c3))))
% Current number of equations to process: 2334
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [446]
% multiply(multiply(inverse(A),inverse(inverse(c3))),inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(c3))))))))))
% -> inverse(A)
% Current number of equations to process: 2332
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [447]
% multiply(multiply(A,multiply(inverse(A),multiply(B,inverse(B)))),inverse(
% multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(c3))))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2331
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [448]
% inverse(multiply(A,multiply(multiply(inverse(A),inverse(inverse(c3))),
% multiply(multiply(B,inverse(B)),inverse(multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(c3)))))))))
% -> C
% Current number of equations to process: 2340
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [449]
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(
% multiply(c3,
% inverse(c3))),
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(C)))))))
% -> C
% Current number of equations to process: 2339
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [450]
% multiply(multiply(A,multiply(multiply(inverse(A),B),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(c3,
% multiply(
% inverse(c3),B))))))),D)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2357
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [451]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% multiply(
% inverse(c3),B)))))),
% multiply(B,multiply(A,
% multiply(multiply(
% inverse(A),B),C)))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),C))))))))
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [452]
% multiply(multiply(c3,multiply(multiply(inverse(c3),A),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(C,
% multiply(D,
% multiply(
% inverse(D),A))))))),C)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [453]
% inverse(multiply(inverse(multiply(c3,multiply(multiply(inverse(c3),A),B))),
% multiply(C,multiply(inverse(C),A)))) ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),B))))))))
% Current number of equations to process: 2354
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [454]
% multiply(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,C))),
% multiply(inverse(multiply(D,inverse(B))),D)) ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),C)))))))
% Rule
% [303]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(inverse(
% multiply(A,
% inverse(A))),
% multiply(B,C))),
% multiply(inverse(multiply(D,
% inverse(B))),D))))
% -> C collapsed.
% Current number of equations to process: 2353
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [455]
% inverse(multiply(multiply(A,multiply(B,multiply(C,inverse(C)))),multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(A,B))))))
% ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% inverse(c3)))))))
% Current number of equations to process: 2351
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [456]
% inverse(multiply(C,inverse(inverse(inverse(multiply(V_4,inverse(V_4)))))))
% <->
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,
% inverse(D)))))))
% Current number of equations to process: 2372
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [457]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,
% inverse(D)))))))
% <->
% inverse(multiply(C,inverse(inverse(inverse(multiply(V_4,inverse(V_4)))))))
% Current number of equations to process: 2372
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [458]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) <->
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(B))))))
% Current number of equations to process: 2406
% Current number of ordered equations: 1
% Current number of rules: 198
% Rule [458]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% <->
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(B)))))) is composed into
% [458]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(c3,inverse(c3)))))))
% New rule produced :
% [459]
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(B)))))) <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% Rule
% [326]
% multiply(multiply(inverse(A),inverse(inverse(inverse(multiply(C,inverse(C)))))),A)
% <-> multiply(D,inverse(D)) collapsed.
% Rule
% [327]
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(C,inverse(C))))))
% -> inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))) collapsed.
% Rule
% [339]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% -> A collapsed.
% Rule
% [343]
% inverse(multiply(inverse(A),inverse(inverse(inverse(multiply(C,inverse(C)))))))
% -> A collapsed.
% Rule
% [359]
% multiply(inverse(A),inverse(inverse(inverse(multiply(c3,inverse(c3)))))) <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% collapsed.
% Rule
% [375]
% multiply(multiply(A,inverse(A)),multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% collapsed.
% Current number of equations to process: 2408
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [460]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(c3,inverse(
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(C,
% inverse(C)))))))))))
% -> A
% Current number of equations to process: 2410
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [461]
% inverse(multiply(c3,inverse(inverse(inverse(multiply(D,inverse(D))))))) <->
% multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(
% inverse(C),A))))))
% Current number of equations to process: 2411
% Current number of ordered equations: 1
% Current number of rules: 195
% Rule [461]
% inverse(multiply(c3,inverse(inverse(inverse(multiply(D,inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(inverse(C),A)))))) is composed into
% [461]
% inverse(multiply(c3,inverse(inverse(inverse(multiply(D,inverse(D))))))) <->
% inverse(multiply(c3,inverse(inverse(inverse(multiply(c3,inverse(c3)))))))
% New rule produced :
% [462]
% multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(
% inverse(C),A))))))
% <-> inverse(multiply(c3,inverse(inverse(inverse(multiply(D,inverse(D)))))))
% Rule
% [153]
% inverse(multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(inverse(C),A)))))))
% -> c3 collapsed.
% Rule
% [154]
% multiply(multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(
% inverse(C),A)))))),c3)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [428]
% multiply(multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(
% inverse(C),A)))))),
% multiply(c3,D)) -> multiply(c3,multiply(inverse(c3),D)) collapsed.
% Current number of equations to process: 2412
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [463]
% multiply(inverse(multiply(c3,inverse(inverse(inverse(multiply(c3,inverse(c3))))))),
% multiply(c3,D)) -> multiply(c3,multiply(inverse(c3),D))
% Current number of equations to process: 2411
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [464]
% multiply(multiply(A,inverse(A)),multiply(c3,inverse(multiply(c3,inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% Current number of equations to process: 2410
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [465]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) <->
% multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(c3,
% inverse(c3)))))))
% Current number of equations to process: 2419
% Current number of ordered equations: 1
% Current number of rules: 196
% Rule [465]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% <->
% multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(c3,
% inverse(c3))))))) is composed into
% [465]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(c3,inverse(c3)))))))
% New rule produced :
% [466]
% multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(c3,
% inverse(c3)))))))
% <-> inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [467]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(
% multiply(B,
% multiply(
% inverse(B),A))),
% multiply(c3,
% inverse(
% multiply(c3,
% inverse(c3)))))))))
% -> c3
% Current number of equations to process: 2421
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [468]
% multiply(A,inverse(multiply(B,inverse(inverse(inverse(multiply(C,inverse(C))))))))
% <->
% multiply(c3,multiply(inverse(c3),multiply(D,multiply(multiply(V_4,inverse(V_4)),
% inverse(multiply(B,multiply(
% inverse(A),D)))))))
% Current number of equations to process: 2420
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [469]
% multiply(c3,multiply(inverse(c3),multiply(D,multiply(multiply(V_4,inverse(V_4)),
% inverse(multiply(B,multiply(
% inverse(A),D)))))))
% <->
% multiply(A,inverse(multiply(B,inverse(inverse(inverse(multiply(C,inverse(C))))))))
% Current number of equations to process: 2420
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [470]
% multiply(C,multiply(inverse(C),multiply(D,multiply(multiply(V_4,inverse(V_4)),
% inverse(multiply(A,multiply(
% inverse(c3),D)))))))
% <->
% multiply(c3,inverse(multiply(A,inverse(inverse(inverse(multiply(B,inverse(B))))))))
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [471]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(multiply(c3,
% inverse(inverse(
% inverse(
% multiply(B,
% inverse(B))))))))))
% -> inverse(multiply(c3,inverse(c3)))
% Rule
% [440]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(multiply(c3,
% inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))))
% -> inverse(multiply(c3,inverse(c3))) collapsed.
% Rule
% [460]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(c3,inverse(
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(C,
% inverse(C)))))))))))
% -> A collapsed.
% Current number of equations to process: 2432
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [472] multiply(A,inverse(multiply(c3,inverse(c3)))) -> A
% Rule
% [297]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(B,
% multiply(
% inverse(
% multiply(C,
% inverse(C))),D))),
% multiply(B,inverse(
% multiply(c3,
% inverse(c3))))))))
% -> inverse(D) collapsed.
% Rule
% [302]
% inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(
% multiply(C,
% multiply(D,A))),
% multiply(C,
% inverse(
% multiply(c3,
% inverse(c3))))))))))
% -> D collapsed.
% Rule
% [330]
% multiply(multiply(A,B),inverse(multiply(c3,inverse(c3)))) -> multiply(A,B)
% collapsed.
% Rule
% [467]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(
% multiply(B,
% multiply(
% inverse(B),A))),
% multiply(c3,
% inverse(
% multiply(c3,
% inverse(c3)))))))))
% -> c3 collapsed.
% Current number of equations to process: 2434
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [473]
% inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(
% multiply(C,
% multiply(D,A))),C))))))
% -> D
% Current number of equations to process: 2433
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [474]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(
% multiply(B,
% multiply(
% inverse(B),A))),c3)))))
% -> c3
% Current number of equations to process: 2432
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [475]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(B,
% multiply(
% inverse(
% multiply(C,
% inverse(C))),D))),B))))
% -> inverse(D)
% Current number of equations to process: 2431
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [476]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),C)))))))))
% -> C
% Rule
% [334]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,
% inverse(c3)),B)))))))))
% -> B collapsed.
% Rule
% [347]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(A,
% inverse(A)),B)))))))))
% -> B collapsed.
% Rule
% [435]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(A,
% inverse(A)),B)))))))))
% -> B collapsed.
% Current number of equations to process: 2445
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [477]
% inverse(multiply(inverse(A),multiply(inverse(inverse(c3)),inverse(inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),c3)))))))))
% -> A
% Rule
% [401]
% inverse(multiply(inverse(A),multiply(inverse(inverse(c3)),inverse(inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,
% inverse(c3)),c3)))))))))
% -> A collapsed.
% Current number of equations to process: 2463
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [478]
% multiply(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),C)))))))),C)
% -> multiply(c3,inverse(c3))
% Rule
% [345]
% multiply(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(c3,
% inverse(c3)),B)))))))),B)
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 2462
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [479]
% multiply(B,inverse(B)) <->
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(c3,
% inverse(c3)))))
% Current number of equations to process: 2462
% Current number of ordered equations: 1
% Current number of rules: 199
% Rule [479]
% multiply(B,inverse(B)) <->
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(c3,
% inverse(c3))))) is composed into
% [479] multiply(B,inverse(B)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [480]
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(c3,
% inverse(c3))))) <->
% multiply(B,inverse(B))
% Current number of equations to process: 2462
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [481]
% inverse(multiply(C,inverse(inverse(inverse(multiply(D,inverse(D))))))) <->
% multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),C))))))))
% Rule
% [415]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(multiply(V_5,
% inverse(V_5)),A))))))))
% collapsed.
% Current number of equations to process: 2461
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [482]
% multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),C))))))))
% <-> inverse(multiply(C,inverse(inverse(inverse(multiply(D,inverse(D)))))))
% Rule
% [416]
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(multiply(V_5,
% inverse(V_5)),A))))))))
% <-> inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% collapsed.
% Current number of equations to process: 2461
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [483]
% inverse(multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(C))),
% multiply(D,A))))))))))
% -> D
% Current number of equations to process: 2460
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [484]
% inverse(multiply(C,multiply(D,multiply(c3,inverse(c3))))) <->
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(C,D)))))))))
% Current number of equations to process: 2459
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [485]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(C,D)))))))))
% <-> inverse(multiply(C,multiply(D,multiply(c3,inverse(c3)))))
% Current number of equations to process: 2459
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [486]
% inverse(multiply(C,multiply(D,multiply(c3,inverse(c3))))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,multiply(
% inverse(A),
% multiply(
% multiply(B,
% inverse(B)),
% multiply(C,D)))))))))
% Current number of equations to process: 2458
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [487]
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,multiply(
% inverse(A),
% multiply(
% multiply(B,
% inverse(B)),
% multiply(C,D)))))))))
% <-> inverse(multiply(C,multiply(D,multiply(c3,inverse(c3)))))
% Current number of equations to process: 2458
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [488]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(inverse(
% multiply(B,
% inverse(B))),
% multiply(C,D))),
% multiply(multiply(V_4,inverse(V_4)),
% inverse(inverse(C)))))) -> D
% Current number of equations to process: 2457
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [489]
% inverse(multiply(V_4,inverse(V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,
% inverse(multiply(C,
% inverse(C)))))),
% multiply(multiply(D,inverse(D)),inverse(inverse(B))))
% Current number of equations to process: 2456
% Current number of ordered equations: 1
% Current number of rules: 207
% Rule [489]
% inverse(multiply(V_4,inverse(V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,
% inverse(
% multiply(C,
% inverse(C)))))),
% multiply(multiply(D,inverse(D)),inverse(inverse(B)))) is composed into
% [489]
% inverse(multiply(V_4,inverse(V_4))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [490]
% multiply(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,
% inverse(multiply(C,
% inverse(C)))))),
% multiply(multiply(D,inverse(D)),inverse(inverse(B)))) <->
% inverse(multiply(V_4,inverse(V_4)))
% Current number of equations to process: 2456
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [491]
% inverse(multiply(A,multiply(inverse(multiply(multiply(B,inverse(B)),multiply(C,
% multiply(c3,
% inverse(c3))))),
% multiply(multiply(D,inverse(D)),C)))) ->
% inverse(multiply(A,multiply(c3,inverse(c3))))
% Current number of equations to process: 2455
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [492]
% multiply(inverse(C),multiply(D,inverse(D))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(c3)))))))),
% multiply(B,C))))
% Rule
% [258]
% multiply(inverse(C),multiply(c3,inverse(c3))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(c3)))))))),
% multiply(B,C)))) collapsed.
% Current number of equations to process: 2453
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [493]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(c3)))))))),
% multiply(B,C)))) <->
% multiply(inverse(C),multiply(D,inverse(D)))
% Current number of equations to process: 2453
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [494]
% multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(A,B))))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% Rule
% [418]
% inverse(multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(A,B)))))))
% ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% inverse(c3)))))))
% collapsed.
% Current number of equations to process: 2452
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [495]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(inverse(
% multiply(B,
% inverse(B))))))),
% inverse(D)))) ->
% inverse(inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(D))))))))))
% Current number of equations to process: 2451
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [496]
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% inverse(c3),
% multiply(
% multiply(A,
% inverse(A)),B))))))))
% <->
% inverse(multiply(C,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(C),
% multiply(
% multiply(D,
% inverse(D)),B))))))))
% Current number of equations to process: 2450
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [497]
% inverse(multiply(C,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(C),
% multiply(
% multiply(D,
% inverse(D)),B))))))))
% <->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% inverse(c3),
% multiply(
% multiply(A,
% inverse(A)),B))))))))
% Current number of equations to process: 2450
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [498]
% inverse(multiply(A,multiply(B,multiply(V_4,inverse(V_4))))) <->
% inverse(multiply(multiply(A,B),multiply(inverse(inverse(c3)),multiply(
% multiply(C,
% inverse(C)),
% inverse(
% multiply(c3,
% multiply(D,
% inverse(D))))))))
% Current number of equations to process: 2445
% Current number of ordered equations: 1
% Current number of rules: 214
% Rule [498]
% inverse(multiply(A,multiply(B,multiply(V_4,inverse(V_4))))) <->
% inverse(multiply(multiply(A,B),multiply(inverse(inverse(c3)),multiply(
% multiply(C,
% inverse(C)),
% inverse(
% multiply(c3,
% multiply(D,
% inverse(D)))))))) is composed into
% [498]
% inverse(multiply(A,multiply(B,multiply(V_4,inverse(V_4))))) <->
% inverse(multiply(A,multiply(B,multiply(c3,inverse(c3)))))
% New rule produced :
% [499]
% inverse(multiply(multiply(A,B),multiply(inverse(inverse(c3)),multiply(
% multiply(C,
% inverse(C)),
% inverse(
% multiply(c3,
% multiply(D,
% inverse(D))))))))
% <-> inverse(multiply(A,multiply(B,multiply(V_4,inverse(V_4)))))
% Current number of equations to process: 2445
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [500]
% multiply(V_5,multiply(multiply(V_6,inverse(V_6)),inverse(multiply(C,multiply(D,V_5)))))
% <->
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,
% multiply(V_4,
% inverse(V_4)))))))
% Current number of equations to process: 2442
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [501]
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,
% multiply(V_4,
% inverse(V_4)))))))
% <->
% multiply(V_5,multiply(multiply(V_6,inverse(V_6)),inverse(multiply(C,multiply(D,V_5)))))
% Rule
% [301]
% multiply(multiply(c3,inverse(c3)),multiply(multiply(A,inverse(A)),inverse(
% multiply(
% inverse(
% multiply(B,
% inverse(B))),
% multiply(C,
% multiply(D,
% inverse(D)))))))
% -> inverse(C) collapsed.
% Current number of equations to process: 2442
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [502]
% multiply(inverse(multiply(A,inverse(A))),multiply(inverse(inverse(multiply(c3,
% inverse(c3)))),B))
% -> multiply(c3,multiply(inverse(c3),B))
% Current number of equations to process: 2443
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [503]
% multiply(inverse(multiply(A,inverse(A))),multiply(c3,multiply(inverse(c3),
% inverse(inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% Current number of equations to process: 2444
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [504]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))))))
% <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(A,inverse(A))))))
% Current number of equations to process: 2449
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [505]
% multiply(C,inverse(C)) <->
% multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(multiply(c3,
% inverse(c3)),B)))
% Current number of equations to process: 2561
% Current number of ordered equations: 1
% Current number of rules: 220
% Rule [505]
% multiply(C,inverse(C)) <->
% multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(multiply(c3,
% inverse(c3)),B))) is composed into
% [505] multiply(C,inverse(C)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [506]
% multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(multiply(c3,
% inverse(c3)),B)))
% <-> multiply(C,inverse(C))
% Current number of equations to process: 2561
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [507]
% multiply(multiply(multiply(A,inverse(A)),B),multiply(inverse(multiply(
% multiply(c3,
% inverse(c3)),B)),C))
% -> multiply(c3,multiply(inverse(c3),C))
% Current number of equations to process: 2564
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [508]
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,inverse(c3)),
% inverse(inverse(inverse(multiply(c3,
% inverse(
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))))))),A)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2574
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [509]
% multiply(multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(C))),
% multiply(D,A))))))))),D)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [510]
% multiply(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C)))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2572
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [511]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(B))),
% multiply(multiply(C,inverse(C)),D))) <->
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,D)))
% Current number of equations to process: 2582
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [512]
% multiply(inverse(multiply(multiply(B,inverse(B)),multiply(C,A))),multiply(
% multiply(D,
% inverse(D)),C))
% ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),A)))))))
% Rule
% [238]
% multiply(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,
% multiply(multiply(C,
% inverse(C)),D)))),
% multiply(multiply(V_4,inverse(V_4)),B)),D) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [270]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),multiply(B,C))),
% multiply(multiply(D,inverse(D)),B))) <->
% multiply(multiply(V_4,inverse(V_4)),inverse(multiply(inverse(multiply(V_5,C)),
% multiply(V_5,multiply(V_6,
% inverse(V_6))))))
% collapsed.
% Rule
% [491]
% inverse(multiply(A,multiply(inverse(multiply(multiply(B,inverse(B)),multiply(C,
% multiply(c3,
% inverse(c3))))),
% multiply(multiply(D,inverse(D)),C)))) ->
% inverse(multiply(A,multiply(c3,inverse(c3)))) collapsed.
% Current number of equations to process: 2593
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [513]
% inverse(multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(B)))))),
% multiply(A,C))) <->
% multiply(multiply(D,inverse(D)),inverse(multiply(multiply(c3,inverse(c3)),
% multiply(C,multiply(V_4,inverse(V_4))))))
% Rule
% [274]
% inverse(multiply(inverse(inverse(inverse(multiply(D,multiply(c3,inverse(c3)))))),
% multiply(D,B))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(c3,inverse(c3)),
% multiply(B,multiply(C,inverse(C))))))
% collapsed.
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [514]
% inverse(multiply(inverse(inverse(inverse(multiply(V_4,multiply(c3,inverse(c3)))))),
% multiply(V_4,C))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(B)),
% multiply(C,multiply(D,inverse(D))))))
% Current number of equations to process: 2603
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [515]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(B)),
% multiply(C,multiply(D,inverse(D))))))
% <->
% inverse(multiply(inverse(inverse(inverse(multiply(V_4,multiply(c3,inverse(c3)))))),
% multiply(V_4,C)))
% Rule
% [275]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(c3,inverse(c3)),
% multiply(B,multiply(C,inverse(C))))))
% <->
% inverse(multiply(inverse(inverse(inverse(multiply(D,multiply(c3,inverse(c3)))))),
% multiply(D,B))) collapsed.
% Current number of equations to process: 2603
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [516]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(C),
% multiply(c3,
% inverse(c3)))))))
% -> C
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [517]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(C),
% multiply(D,
% inverse(D)))))))
% -> C
% Rule
% [516]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(C),
% multiply(c3,
% inverse(c3)))))))
% -> C collapsed.
% Current number of equations to process: 2685
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [518]
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(multiply(A,
% inverse(A)),
% inverse(B)))))))))
% -> B
% Current number of equations to process: 2720
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [519]
% multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),
% inverse(C)))))))))
% -> C
% Rule
% [518]
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(multiply(A,
% inverse(A)),
% inverse(B)))))))))
% -> B collapsed.
% Current number of equations to process: 2719
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [520]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,
% inverse(B))))))))
% <-> inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(A))))
% Current number of equations to process: 2728
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced :
% [521]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(A)))) <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,
% inverse(B))))))))
% Rule
% [391]
% multiply(B,multiply(inverse(B),multiply(multiply(C,inverse(C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(D))),
% multiply(A,
% inverse(c3)))))))
% -> multiply(c3,inverse(A)) collapsed.
% Current number of equations to process: 2729
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [522]
% multiply(inverse(multiply(A,inverse(A))),B) <->
% multiply(inverse(multiply(C,inverse(B))),C)
% Current number of equations to process: 2743
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [523]
% multiply(inverse(multiply(C,inverse(B))),C) <->
% multiply(inverse(multiply(A,inverse(A))),B)
% Current number of equations to process: 2743
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [524]
% multiply(inverse(multiply(A,inverse(A))),multiply(B,C)) <->
% multiply(inverse(multiply(D,inverse(B))),multiply(D,C))
% Rule
% [286]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,C))) <->
% inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,C))) collapsed.
% Current number of equations to process: 2749
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [525]
% multiply(inverse(multiply(D,inverse(B))),multiply(D,C)) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(B,C))
% Rule
% [285]
% inverse(multiply(inverse(multiply(A,inverse(B))),multiply(A,C))) <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,C))) collapsed.
% Rule
% [463]
% multiply(inverse(multiply(c3,inverse(inverse(inverse(multiply(c3,inverse(c3))))))),
% multiply(c3,D)) -> multiply(c3,multiply(inverse(c3),D)) collapsed.
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [526]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,multiply(
% inverse(A),C))))
% <->
% inverse(multiply(inverse(multiply(A,inverse(B))),multiply(c3,multiply(
% inverse(c3),C))))
% Current number of equations to process: 2748
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [527]
% inverse(multiply(inverse(multiply(A,inverse(B))),multiply(c3,multiply(
% inverse(c3),C))))
% <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,multiply(
% inverse(A),C))))
% Current number of equations to process: 2748
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [528]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(A,multiply(
% inverse(c3),C))))
% <->
% inverse(multiply(inverse(multiply(c3,inverse(A))),multiply(B,multiply(
% inverse(B),C))))
% Current number of equations to process: 2747
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [529]
% inverse(multiply(inverse(multiply(c3,inverse(A))),multiply(B,multiply(
% inverse(B),C))))
% <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(A,multiply(
% inverse(c3),C))))
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 233
% Rule [441]
% multiply(inverse(multiply(A,multiply(B,inverse(B)))),A) ->
% inverse(inverse(multiply(c3,inverse(multiply(c3,inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))) is composed into
% [441]
% multiply(inverse(multiply(A,multiply(B,inverse(B)))),A) ->
% inverse(multiply(c3,inverse(c3)))
% Rule [304]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,multiply(c3,
% inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(
% multiply(c3,
% inverse(
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))))))) is composed into
% [304]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(c3,
% inverse(c3))))))
% Rule [77]
% multiply(multiply(A,inverse(A)),B) <->
% inverse(multiply(multiply(C,inverse(C)),inverse(multiply(B,inverse(
% inverse(
% multiply(c3,
% inverse(
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))))))) is composed into
% [77]
% multiply(multiply(A,inverse(A)),B) <->
% inverse(multiply(multiply(C,inverse(C)),inverse(multiply(B,inverse(multiply(c3,
% inverse(c3)))))))
% New rule produced :
% [530]
% inverse(multiply(c3,inverse(multiply(c3,inverse(inverse(inverse(multiply(c3,
% inverse(c3)))))))))
% -> multiply(c3,inverse(c3))
% Rule
% [508]
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,inverse(c3)),
% inverse(inverse(inverse(multiply(c3,
% inverse(
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))))))),A)
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [531]
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,inverse(c3)),
% inverse(inverse(multiply(c3,inverse(c3))))))),A)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [532]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(B)),
% multiply(inverse(B),multiply(C,
% inverse(C))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [533]
% multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(D,
% multiply(A,B))))))
% <->
% multiply(V_4,multiply(V_5,multiply(multiply(V_6,inverse(V_6)),inverse(
% multiply(D,
% multiply(V_4,V_5))))))
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [534]
% multiply(A,multiply(multiply(inverse(A),B),multiply(multiply(C,inverse(C)),
% inverse(multiply(inverse(D),
% multiply(c3,multiply(
% inverse(c3),B)))))))
% -> D
% Current number of equations to process: 2750
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [535]
% multiply(c3,multiply(multiply(inverse(c3),A),multiply(multiply(B,inverse(B)),
% inverse(multiply(inverse(C),
% multiply(D,multiply(
% inverse(D),A)))))))
% -> C
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [536]
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(inverse(
% multiply(B,
% multiply(C,
% multiply(V_5,
% inverse(V_5))))),D)))
% <-> inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D)))
% Current number of equations to process: 2748
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [537]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D))) <->
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(inverse(
% multiply(B,
% multiply(C,
% multiply(V_5,
% inverse(V_5))))),D)))
% Current number of equations to process: 2748
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [538]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(C))))))
% -> multiply(c3,inverse(c3))
% Rule
% [532]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(B)),
% multiply(inverse(B),multiply(C,
% inverse(C))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [539]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(multiply(B,
% inverse(B)),
% inverse(C))))) <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(multiply(D,
% inverse(D)),C)))
% Current number of equations to process: 2747
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [540]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(multiply(D,
% inverse(D)),C)))
% <->
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(multiply(B,
% inverse(B)),
% inverse(C)))))
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [541]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,C),multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(B,C)))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2772
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [542]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,C))) <->
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(inverse(B)),C)))
% Rule
% [449]
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(
% multiply(c3,
% inverse(c3))),
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(C)))))))
% -> C collapsed.
% Current number of equations to process: 2792
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [543]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(inverse(B)),C))) <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,C)))
% Current number of equations to process: 2792
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [544]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(D,
% inverse(D)))))
% <-> multiply(multiply(A,inverse(A)),inverse(inverse(inverse(B))))
% Current number of equations to process: 2791
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [545]
% multiply(multiply(A,inverse(A)),inverse(inverse(inverse(B)))) <->
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(D,
% inverse(D)))))
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [546]
% multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,C)),inverse(
% multiply(
% inverse(
% multiply(c3,
% inverse(c3))),
% multiply(B,C))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2835
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [547]
% multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(D))),
% multiply(B,C))))
% -> multiply(c3,inverse(c3))
% Rule
% [546]
% multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,C)),inverse(
% multiply(
% inverse(
% multiply(c3,
% inverse(c3))),
% multiply(B,C))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 2834
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [548]
% inverse(multiply(inverse(multiply(B,inverse(B))),multiply(A,multiply(
% multiply(C,
% inverse(C)),
% inverse(multiply(c3,
% multiply(D,
% inverse(D))))))))
% -> multiply(inverse(inverse(c3)),inverse(A))
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [549]
% multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,inverse(C)),
% inverse(multiply(inverse(inverse(D)),
% multiply(A,multiply(V_4,
% inverse(V_4))))))))
% -> inverse(D)
% Current number of equations to process: 2832
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [550]
% multiply(multiply(c3,multiply(inverse(c3),A)),inverse(multiply(inverse(
% multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(C,
% inverse(C))))))),
% multiply(B,A)))) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 2912
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [551]
% multiply(c3,multiply(inverse(c3),multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2932
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [552]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))) <->
% multiply(multiply(multiply(D,inverse(D)),B),multiply(multiply(V_4,inverse(V_4)),C))
% Current number of equations to process: 2983
% Current number of ordered equations: 1
% Current number of rules: 252
% Rule [552]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))) <->
% multiply(multiply(multiply(D,inverse(D)),B),multiply(multiply(V_4,
% inverse(V_4)),C)) is composed into
% [552]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))) <->
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(B,C))))
% Rule [293]
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,multiply(D,
% inverse(
% multiply(V_5,
% inverse(V_5))))))))
% <->
% multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(C,
% inverse(C)),D)) is composed into
% [293]
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,multiply(D,
% inverse(
% multiply(V_5,
% inverse(V_5))))))))
% <-> inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,D))))
% New rule produced :
% [553]
% multiply(multiply(multiply(D,inverse(D)),B),multiply(multiply(V_4,inverse(V_4)),C))
% <-> inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,C))))
% Rule
% [3]
% inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(
% multiply(C,
% inverse(C)),D),
% multiply(multiply(V_4,
% inverse(V_4)),V_5))))
% <-> multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5))))
% collapsed.
% Rule
% [294]
% multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(C,inverse(C)),D))
% <->
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,multiply(D,
% inverse(
% multiply(V_5,
% inverse(V_5))))))))
% collapsed.
% Rule
% [404]
% multiply(inverse(inverse(c3)),multiply(multiply(multiply(A,inverse(A)),
% inverse(multiply(c3,multiply(B,
% inverse(B))))),
% multiply(multiply(C,inverse(C)),D))) -> D
% collapsed.
% Rule
% [408]
% multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(C,
% multiply(
% inverse(C),A)))),
% multiply(multiply(D,inverse(D)),V_4))) -> V_4 collapsed.
% Current number of equations to process: 2987
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [554]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(
% multiply(C,
% multiply(
% inverse(C),A))),V_4)))))
% -> V_4
% Rule
% [474]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(
% multiply(B,
% multiply(
% inverse(B),A))),c3)))))
% -> c3 collapsed.
% Current number of equations to process: 2986
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [555]
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(A,inverse(A)),
% inverse(multiply(inverse(multiply(c3,
% multiply(B,
% inverse(B)))),D)))))
% -> D
% Current number of equations to process: 2985
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [556]
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,C)))) <->
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(inverse(multiply(B,
% multiply(C,
% inverse(
% multiply(D,
% inverse(D))))))))))
% Current number of equations to process: 2987
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [557]
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(inverse(multiply(B,
% multiply(C,
% inverse(
% multiply(D,
% inverse(D))))))))))
% <-> inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,C))))
% Current number of equations to process: 2987
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [558]
% inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(multiply(D,V_5))))))
% <-> multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5))))
% Current number of equations to process: 2986
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [559]
% multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(C,inverse(
% multiply(V_4,
% inverse(V_4)))))))
% <-> multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))
% Rule
% [293]
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,multiply(D,
% inverse(
% multiply(V_5,
% inverse(V_5))))))))
% <-> inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,D))))
% collapsed.
% Current number of equations to process: 2988
% Current number of ordered equations: 0
% Current number of rules: 253
% Rule [552]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))) <->
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(B,C)))) is composed into
% [552]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))) <->
% multiply(multiply(c3,inverse(c3)),multiply(B,C))
% New rule produced :
% [560]
% inverse(multiply(multiply(B,inverse(B)),inverse(A))) <->
% multiply(multiply(c3,inverse(c3)),A)
% Rule
% [473]
% inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(
% multiply(C,
% multiply(D,A))),C))))))
% -> D collapsed.
% Rule
% [475]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(B,
% multiply(
% inverse(
% multiply(C,
% inverse(C))),D))),B))))
% -> inverse(D) collapsed.
% Rule
% [531]
% multiply(multiply(inverse(A),inverse(multiply(multiply(c3,inverse(c3)),
% inverse(inverse(multiply(c3,inverse(c3))))))),A)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [554]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(
% multiply(C,
% multiply(
% inverse(C),A))),V_4)))))
% -> V_4 collapsed.
% Rule
% [558]
% inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(multiply(D,V_5))))))
% <-> multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5))))
% collapsed.
% Current number of equations to process: 2994
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [561]
% multiply(multiply(c3,inverse(c3)),A) <->
% inverse(multiply(multiply(B,inverse(B)),inverse(A)))
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [562]
% inverse(multiply(multiply(A,inverse(A)),inverse(inverse(multiply(B,inverse(B))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2993
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [563]
% inverse(multiply(A,multiply(multiply(c3,inverse(c3)),multiply(inverse(
% multiply(C,
% multiply(D,A))),C))))
% -> D
% Current number of equations to process: 2992
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [564]
% multiply(A,multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(C,
% multiply(
% inverse(C),A))),V_4)))
% -> V_4
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [565]
% multiply(multiply(inverse(A),multiply(c3,inverse(c3))),A) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [566]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(B,multiply(
% inverse(
% multiply(C,
% inverse(C))),D))),B))
% -> inverse(D)
% Current number of equations to process: 2989
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [567]
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(D,V_5))))))
% <-> multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5))))
% Current number of equations to process: 2988
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [568]
% multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5)))) <->
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(D,V_5))))))
% Current number of equations to process: 2988
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [569]
% multiply(multiply(A,inverse(A)),multiply(multiply(c3,inverse(c3)),inverse(
% inverse(
% inverse(B)))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(B)))))))))
% Current number of equations to process: 2988
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [570]
% multiply(multiply(c3,inverse(c3)),multiply(multiply(A,inverse(A)),inverse(
% inverse(
% inverse(B)))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(B)))))))))
% Current number of equations to process: 2988
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [571]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(c3,inverse(c3)))))
% <-> multiply(multiply(C,inverse(C)),inverse(B))
% Current number of equations to process: 2995
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [572]
% multiply(multiply(C,inverse(C)),inverse(B)) <->
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(c3,inverse(c3)))))
% Current number of equations to process: 2995
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [573]
% inverse(inverse(inverse(multiply(c3,multiply(inverse(c3),multiply(A,inverse(
% multiply(A,
% multiply(c3,
% inverse(c3))))))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 262
% Rule [513]
% inverse(multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(B)))))),
% multiply(A,C))) <->
% multiply(multiply(D,inverse(D)),inverse(multiply(multiply(c3,inverse(c3)),
% multiply(C,multiply(V_4,
% inverse(V_4)))))) is composed into
% [513]
% inverse(multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(B)))))),
% multiply(A,C))) <->
% multiply(multiply(D,inverse(D)),multiply(multiply(c3,inverse(c3)),inverse(C)))
% New rule produced :
% [574]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(C,inverse(C)))))
% <-> multiply(multiply(D,inverse(D)),inverse(B))
% Rule
% [571]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(c3,inverse(c3)))))
% <-> multiply(multiply(C,inverse(C)),inverse(B)) collapsed.
% Current number of equations to process: 2995
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced :
% [575]
% multiply(multiply(D,inverse(D)),inverse(B)) <->
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(C,inverse(C)))))
% Rule
% [572]
% multiply(multiply(C,inverse(C)),inverse(B)) <->
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 2995
% Current number of ordered equations: 0
% Current number of rules: 262
% Rule [489]
% inverse(multiply(V_4,inverse(V_4))) <->
% inverse(multiply(c3,inverse(c3))) is composed into [489]
% inverse(multiply(V_4,
% inverse(V_4)))
% <->
% multiply(c3,inverse(c3))
% Rule [471]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))))
% -> inverse(multiply(c3,inverse(c3))) is composed into [471]
% multiply(multiply(A,
% inverse(A)),
% inverse(multiply(c3,
% inverse(
% multiply(c3,
% inverse(
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))))
% ->
% multiply(c3,
% inverse(c3))
% Rule [465]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(c3,inverse(c3))))))) is composed into
% [465]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) <->
% inverse(multiply(A,multiply(c3,inverse(c3))))
% Rule [461]
% inverse(multiply(c3,inverse(inverse(inverse(multiply(D,inverse(D)))))))
% <->
% inverse(multiply(c3,inverse(inverse(inverse(multiply(c3,inverse(c3))))))) is composed into
% [461]
% inverse(multiply(c3,inverse(inverse(inverse(multiply(D,inverse(D))))))) <->
% inverse(multiply(c3,multiply(c3,inverse(c3))))
% Rule [458]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(c3,inverse(c3))))))) is composed into
% [458]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) <->
% inverse(multiply(A,multiply(c3,inverse(c3))))
% Rule [443]
% inverse(multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% inverse(A),
% inverse(
% inverse(c3)))))))))
% ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(c3,
% inverse(c3)))))))) is composed into
% [443]
% inverse(multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(A),
% inverse(
% inverse(c3)))))))))
% ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),multiply(c3,inverse(c3))))))
% Rule [441]
% multiply(inverse(multiply(A,multiply(B,inverse(B)))),A) ->
% inverse(multiply(c3,inverse(c3))) is composed into [441]
% multiply(inverse(
% multiply(A,
% multiply(B,
% inverse(B)))),A)
% ->
% multiply(c3,inverse(c3))
% Rule [402]
% inverse(multiply(C,inverse(C))) <-> inverse(multiply(c3,inverse(c3))) is composed into
% [402] inverse(multiply(C,inverse(C))) <-> multiply(c3,inverse(c3))
% Rule [358]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(c3,inverse(c3))))))) is composed into
% [358]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) <->
% inverse(multiply(A,multiply(c3,inverse(c3))))
% Rule [355]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) is composed into
% [355]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(c3,inverse(c3))
% Rule [340]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) is composed into
% [340]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(c3,inverse(c3))
% Rule [323]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) is composed into
% [323]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(c3,inverse(c3))
% Rule [304]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,multiply(c3,
% inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(c3,
% inverse(c3)))))) is composed into
% [304]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(c3,inverse(c3)))))
% Rule [230]
% inverse(inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(multiply(c3,inverse(c3)))) is composed into [230]
% inverse(
% inverse(
% multiply(B,
% inverse(B))))
% <->
% multiply(c3,
% inverse(c3))
% Rule [77]
% multiply(multiply(A,inverse(A)),B) <->
% inverse(multiply(multiply(C,inverse(C)),inverse(multiply(B,inverse(
% multiply(c3,
% inverse(c3))))))) is composed into
% [77]
% multiply(multiply(A,inverse(A)),B) <->
% inverse(multiply(multiply(C,inverse(C)),inverse(multiply(B,multiply(c3,
% inverse(c3))))))
% New rule produced :
% [576] inverse(multiply(c3,inverse(c3))) -> multiply(c3,inverse(c3))
% Rule
% [316]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(c3,
% inverse(c3))),B)))
% -> inverse(multiply(c3,multiply(inverse(c3),B))) collapsed.
% Rule
% [361]
% inverse(multiply(inverse(A),multiply(c3,inverse(multiply(c3,inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))))
% -> A collapsed.
% Rule
% [396]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(inverse(
% multiply(c3,
% inverse(c3))))))),
% multiply(c3,multiply(inverse(c3),
% inverse(inverse(
% multiply(C,
% inverse(C)))))))))
% -> inverse(multiply(c3,inverse(c3))) collapsed.
% Rule
% [464]
% multiply(multiply(A,inverse(A)),multiply(c3,inverse(multiply(c3,inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% collapsed.
% Rule [472] multiply(A,inverse(multiply(c3,inverse(c3)))) -> A collapsed.
% Rule
% [480]
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(c3,
% inverse(c3))))) <->
% multiply(B,inverse(B)) collapsed.
% Rule
% [502]
% multiply(inverse(multiply(A,inverse(A))),multiply(inverse(inverse(multiply(c3,
% inverse(c3)))),B))
% -> multiply(c3,multiply(inverse(c3),B)) collapsed.
% Rule
% [503]
% multiply(inverse(multiply(A,inverse(A))),multiply(c3,multiply(inverse(c3),
% inverse(inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% collapsed.
% Rule
% [530]
% inverse(multiply(c3,inverse(multiply(c3,inverse(inverse(inverse(multiply(c3,
% inverse(c3)))))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [551]
% multiply(c3,multiply(inverse(c3),multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 3006
% Current number of ordered equations: 0
% Current number of rules: 253
% Rule [515]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(B)),
% multiply(C,multiply(D,inverse(D))))))
% <->
% inverse(multiply(inverse(inverse(inverse(multiply(V_4,multiply(c3,
% inverse(c3)))))),
% multiply(V_4,C))) is composed into [515]
% multiply(multiply(A,inverse(A)),
% inverse(multiply(multiply(B,
% inverse(B)),
% multiply(C,multiply(D,
% inverse(D))))))
% <->
% inverse(multiply(inverse(
% inverse(
% inverse(V_4))),
% multiply(V_4,C)))
% Rule [498]
% inverse(multiply(A,multiply(B,multiply(V_4,inverse(V_4))))) <->
% inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))) is composed into
% [498]
% inverse(multiply(A,multiply(B,multiply(V_4,inverse(V_4))))) ->
% inverse(multiply(A,B))
% Rule [487]
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,
% multiply(
% inverse(A),
% multiply(
% multiply(B,
% inverse(B)),
% multiply(C,D)))))))))
% <-> inverse(multiply(C,multiply(D,multiply(c3,inverse(c3))))) is composed into
% [487]
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,multiply(
% inverse(A),
% multiply(
% multiply(B,
% inverse(B)),
% multiply(C,D)))))))))
% -> inverse(multiply(C,D))
% Rule [485]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(C,D)))))))))
% <-> inverse(multiply(C,multiply(D,multiply(c3,inverse(c3))))) is composed into
% [485]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(C,D)))))))))
% -> inverse(multiply(C,D))
% Rule [465]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% <-> inverse(multiply(A,multiply(c3,inverse(c3)))) is composed into
% [465]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) ->
% inverse(A)
% Rule [461]
% inverse(multiply(c3,inverse(inverse(inverse(multiply(D,inverse(D)))))))
% <-> inverse(multiply(c3,multiply(c3,inverse(c3)))) is composed into
% [461]
% inverse(multiply(c3,inverse(inverse(inverse(multiply(D,inverse(D))))))) ->
% inverse(c3)
% Rule [458]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% <-> inverse(multiply(A,multiply(c3,inverse(c3)))) is composed into
% [458]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) ->
% inverse(A)
% Rule [443]
% inverse(multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% inverse(A),
% inverse(
% inverse(c3)))))))))
% ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),multiply(c3,
% inverse(c3)))))) is composed into
% [443]
% inverse(multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(A),
% inverse(
% inverse(c3)))))))))
% -> inverse(c3)
% Rule [430]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(A))))))))))
% <->
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(A,
% multiply(c3,
% inverse(c3))))))))) is composed into
% [430]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(A))))))))))
% <-> inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(A))))))
% Rule [417]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(c3,
% multiply(inverse(c3),
% inverse(inverse(
% multiply(B,
% inverse(B))))))))))
% ->
% inverse(inverse(inverse(inverse(multiply(A,multiply(c3,inverse(c3))))))) is composed into
% [417]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))))
% -> inverse(inverse(inverse(inverse(A))))
% Rule [379]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(multiply(C,
% inverse(C)),
% multiply(D,V_4))))))
% <->
% inverse(inverse(multiply(A,inverse(multiply(D,multiply(V_4,multiply(c3,
% inverse(c3)))))))) is composed into
% [379]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(multiply(C,
% inverse(C)),
% multiply(D,V_4)))))) ->
% inverse(inverse(multiply(A,inverse(multiply(D,V_4)))))
% Rule [367]
% inverse(multiply(inverse(multiply(D,inverse(inverse(inverse(multiply(C,
% inverse(C))))))),
% multiply(D,inverse(inverse(c3))))) ->
% inverse(multiply(c3,multiply(c3,inverse(c3)))) is composed into
% [367]
% inverse(multiply(inverse(multiply(D,inverse(inverse(inverse(multiply(C,
% inverse(C))))))),
% multiply(D,inverse(inverse(c3))))) -> inverse(c3)
% Rule [360]
% inverse(multiply(multiply(D,V_4),inverse(inverse(inverse(multiply(C,
% inverse(C)))))))
% -> inverse(multiply(D,multiply(V_4,multiply(c3,inverse(c3))))) is composed into
% [360]
% inverse(multiply(multiply(D,V_4),inverse(inverse(inverse(multiply(C,inverse(C)))))))
% -> inverse(multiply(D,V_4))
% Rule [358]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% <-> inverse(multiply(A,multiply(c3,inverse(c3)))) is composed into
% [358]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) ->
% inverse(A)
% Rule [331]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,inverse(C))))))
% -> inverse(inverse(multiply(A,multiply(c3,inverse(c3))))) is composed into
% [331]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,inverse(C))))))
% -> inverse(inverse(A))
% Rule [208]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,multiply(V_5,
% inverse(V_5))))))
% <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,B)),
% multiply(c3,multiply(c3,
% inverse(c3)))))) is composed into
% [208]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,B)),c3)))
% Rule [178]
% multiply(A,multiply(inverse(A),inverse(inverse(c3)))) ->
% multiply(c3,multiply(c3,inverse(c3))) is composed into [178]
% multiply(A,
% multiply(
% inverse(A),
% inverse(inverse(c3))))
% -> c3
% Rule [77]
% multiply(multiply(A,inverse(A)),B) <->
% inverse(multiply(multiply(C,inverse(C)),inverse(multiply(B,multiply(c3,
% inverse(c3)))))) is composed into
% [77]
% multiply(multiply(A,inverse(A)),B) <->
% inverse(multiply(multiply(C,inverse(C)),inverse(B)))
% Rule [20]
% multiply(C,multiply(D,multiply(multiply(V_4,inverse(V_4)),inverse(
% multiply(
% multiply(A,B),
% multiply(C,D))))))
% -> inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))) is composed into
% [20]
% multiply(C,multiply(D,multiply(multiply(V_4,inverse(V_4)),inverse(multiply(
% multiply(A,B),
% multiply(C,D))))))
% -> inverse(multiply(A,B))
% New rule produced : [577] multiply(A,multiply(c3,inverse(c3))) -> A
% Rule
% [209]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,B)),
% multiply(c3,multiply(c3,inverse(c3))))))
% <->
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% collapsed.
% Rule
% [304]
% inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(c3,inverse(c3)))))
% collapsed.
% Rule
% [328]
% inverse(multiply(C,multiply(inverse(C),multiply(c3,inverse(c3))))) <->
% inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B))))) collapsed.
% Rule
% [348]
% multiply(B,multiply(inverse(B),multiply(c3,inverse(c3)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% collapsed.
% Rule
% [378]
% inverse(inverse(multiply(A,inverse(multiply(D,multiply(V_4,multiply(c3,
% inverse(c3))))))))
% <->
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(multiply(C,
% inverse(C)),
% multiply(D,V_4))))))
% collapsed.
% Rule
% [426]
% inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(C,inverse(C))),
% multiply(B,multiply(c3,inverse(c3))))))))
% ->
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(c3,multiply(
% inverse(c3),B))))))
% collapsed.
% Rule
% [429]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(A,
% multiply(c3,
% inverse(c3)))))))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(A))))))))))
% collapsed.
% Rule
% [445]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% multiply(c3,multiply(c3,inverse(c3))))))
% -> inverse(multiply(inverse(B),inverse(inverse(c3)))) collapsed.
% Rule
% [448]
% inverse(multiply(A,multiply(multiply(inverse(A),inverse(inverse(c3))),
% multiply(multiply(B,inverse(B)),inverse(multiply(C,
% multiply(c3,
% multiply(c3,
% inverse(c3)))))))))
% -> C collapsed.
% Rule
% [466]
% multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(c3,
% inverse(c3)))))))
% <-> inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% collapsed.
% Rule
% [484]
% inverse(multiply(C,multiply(D,multiply(c3,inverse(c3))))) <->
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(C,D)))))))))
% collapsed.
% Rule
% [486]
% inverse(multiply(C,multiply(D,multiply(c3,inverse(c3))))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,multiply(
% inverse(A),
% multiply(
% multiply(B,
% inverse(B)),
% multiply(C,D)))))))))
% collapsed.
% Rule
% [514]
% inverse(multiply(inverse(inverse(inverse(multiply(V_4,multiply(c3,inverse(c3)))))),
% multiply(V_4,C))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(B)),
% multiply(C,multiply(D,inverse(D))))))
% collapsed.
% Rule
% [565]
% multiply(multiply(inverse(A),multiply(c3,inverse(c3))),A) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [573]
% inverse(inverse(inverse(multiply(c3,multiply(inverse(c3),multiply(A,inverse(
% multiply(A,
% multiply(c3,
% inverse(c3))))))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 3015
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced : [578] multiply(inverse(A),A) -> multiply(c3,inverse(c3))
% Current number of equations to process: 3014
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [579]
% inverse(multiply(multiply(V_4,inverse(V_4)),B)) <->
% multiply(multiply(A,inverse(A)),inverse(B))
% Current number of equations to process: 3013
% Current number of ordered equations: 1
% Current number of rules: 241
% Rule [557]
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(inverse(
% multiply(B,
% multiply(C,
% inverse(
% multiply(D,
% inverse(D))))))))))
% <-> inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,C)))) is composed into
% [557]
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(inverse(multiply(B,
% multiply(C,
% inverse(
% multiply(D,
% inverse(D))))))))))
% <-> inverse(inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,C))))
% Rule [513]
% inverse(multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(B)))))),
% multiply(A,C))) <->
% multiply(multiply(D,inverse(D)),multiply(multiply(c3,inverse(c3)),
% inverse(C))) is composed into [513]
% inverse(
% multiply(
% inverse(
% inverse(
% inverse(
% multiply(A,
% multiply(B,
% inverse(B)))))),
% multiply(A,C)))
% <->
% multiply(
% multiply(D,
% inverse(D)),
% inverse(
% multiply(
% multiply(c3,
% inverse(c3)),C)))
% Rule [468]
% multiply(A,inverse(multiply(B,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% <->
% multiply(c3,multiply(inverse(c3),multiply(D,multiply(multiply(V_4,
% inverse(V_4)),
% inverse(multiply(B,multiply(
% inverse(A),D))))))) is composed into
% [468]
% multiply(A,inverse(multiply(B,inverse(inverse(inverse(multiply(C,inverse(C))))))))
% <->
% multiply(c3,multiply(inverse(c3),multiply(D,inverse(multiply(multiply(V_4,
% inverse(V_4)),
% multiply(B,multiply(
% inverse(A),D)))))))
% Rule [422]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% multiply(C,
% inverse(C)))),
% inverse(D)))) <->
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(inverse(
% multiply(V_5,
% inverse(V_5))),
% multiply(D,B))))) is composed into
% [422]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% inverse(D)))) <->
% inverse(inverse(multiply(multiply(V_4,inverse(V_4)),multiply(inverse(
% multiply(V_5,
% inverse(V_5))),
% multiply(D,B)))))
% Rule [208]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,multiply(V_5,
% inverse(V_5))))))
% <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(c3,B)),c3))) is composed into
% [208]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% <->
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(c3,B)),c3)))
% New rule produced :
% [580]
% multiply(multiply(A,inverse(A)),inverse(B)) <->
% inverse(multiply(multiply(V_4,inverse(V_4)),B))
% Rule
% [20]
% multiply(C,multiply(D,multiply(multiply(V_4,inverse(V_4)),inverse(multiply(
% multiply(A,B),
% multiply(C,D))))))
% -> inverse(multiply(A,B)) collapsed.
% Rule
% [419]
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(inverse(
% multiply(V_5,
% inverse(V_5))),
% multiply(D,B))))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% inverse(D)))) collapsed.
% Rule
% [469]
% multiply(c3,multiply(inverse(c3),multiply(D,multiply(multiply(V_4,inverse(V_4)),
% inverse(multiply(B,multiply(
% inverse(A),D)))))))
% <->
% multiply(A,inverse(multiply(B,inverse(inverse(inverse(multiply(C,inverse(C))))))))
% collapsed.
% Rule
% [470]
% multiply(C,multiply(inverse(C),multiply(D,multiply(multiply(V_4,inverse(V_4)),
% inverse(multiply(A,multiply(
% inverse(c3),D)))))))
% <->
% multiply(c3,inverse(multiply(A,inverse(inverse(inverse(multiply(B,inverse(B))))))))
% collapsed.
% Rule
% [488]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(inverse(
% multiply(B,
% inverse(B))),
% multiply(C,D))),
% multiply(multiply(V_4,inverse(V_4)),
% inverse(inverse(C)))))) -> D
% collapsed.
% Rule
% [556]
% inverse(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,C)))) <->
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(inverse(multiply(B,
% multiply(C,
% inverse(
% multiply(D,
% inverse(D))))))))))
% collapsed.
% Rule
% [569]
% multiply(multiply(A,inverse(A)),multiply(multiply(c3,inverse(c3)),inverse(
% inverse(
% inverse(B)))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(B)))))))))
% collapsed.
% Current number of equations to process: 3020
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [581]
% multiply(B,inverse(B)) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% Current number of equations to process: 3017
% Current number of ordered equations: 1
% Current number of rules: 236
% Rule [581]
% multiply(B,inverse(B)) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3)))))) is composed into
% [581] multiply(B,inverse(B)) <-> multiply(c3,inverse(c3))
% Rule [494]
% multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(A,B)))))) ->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3)))))) is composed into
% [494]
% multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(A,B))))))
% -> multiply(c3,inverse(c3))
% Rule [492]
% multiply(inverse(C),multiply(D,inverse(D))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(c3)))))))),
% multiply(B,C)))) is composed into
% [492]
% multiply(inverse(C),multiply(D,inverse(D))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% inverse(c3)))),
% multiply(B,C))))
% Rule [455]
% inverse(multiply(multiply(A,multiply(B,multiply(C,inverse(C)))),
% multiply(c3,multiply(inverse(c3),inverse(multiply(A,B)))))) ->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% inverse(c3))))))) is composed into
% [455]
% inverse(multiply(multiply(A,multiply(B,multiply(C,inverse(C)))),multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(A,B))))))
% -> inverse(multiply(c3,inverse(c3)))
% Rule [320]
% inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B))))) <->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% inverse(c3))))))) is composed into
% [320]
% inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B))))) ->
% inverse(multiply(c3,inverse(c3)))
% Rule [138]
% multiply(A,multiply(inverse(A),multiply(B,inverse(B)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3)))))) is composed into
% [138]
% multiply(A,multiply(inverse(A),multiply(B,inverse(B)))) ->
% multiply(c3,inverse(c3))
% New rule produced :
% [582]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% <-> multiply(B,inverse(B))
% Rule
% [354]
% inverse(inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% inverse(c3))))))))
% <-> multiply(A,inverse(A)) collapsed.
% Rule
% [447]
% multiply(multiply(A,multiply(inverse(A),multiply(B,inverse(B)))),inverse(
% multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(c3))))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [493]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(c3)))))))),
% multiply(B,C)))) <->
% multiply(inverse(C),multiply(D,inverse(D))) collapsed.
% Current number of equations to process: 3018
% Current number of ordered equations: 0
% Current number of rules: 234
% Rule [568]
% multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5))))
% <->
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,
% multiply(D,V_5)))))) is composed into
% [568]
% multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5)))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(D,V_5))))
% Rule [548]
% inverse(multiply(inverse(multiply(B,inverse(B))),multiply(A,multiply(
% multiply(C,
% inverse(C)),
% inverse(
% multiply(c3,
% multiply(D,
% inverse(D))))))))
% -> multiply(inverse(inverse(c3)),inverse(A)) is composed into [548]
% inverse(
% multiply(
% inverse(
% multiply(B,
% inverse(B))),
% multiply(A,
% multiply(
% multiply(C,
% inverse(C)),
% inverse(
% multiply(c3,
% multiply(D,
% inverse(D))))))))
% ->
% multiply(c3,
% inverse(A))
% Rule [544]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(D,
% inverse(D)))))
% <-> multiply(multiply(A,inverse(A)),inverse(inverse(inverse(B)))) is composed into
% [544]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(D,
% inverse(D)))))
% <-> multiply(multiply(A,inverse(A)),inverse(B))
% Rule [542]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,C))) <->
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(inverse(B)),C))) is composed into
% [542]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,C))) <->
% inverse(multiply(multiply(A,inverse(A)),multiply(B,C)))
% Rule [521]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(A))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(A,
% inverse(B)))))))) is composed into
% [521]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(A)))) <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(A,inverse(B))))))
% Rule [515]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(B)),
% multiply(C,multiply(D,inverse(D))))))
% <-> inverse(multiply(inverse(inverse(inverse(V_4))),multiply(V_4,C))) is composed into
% [515]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(B)),
% multiply(C,multiply(D,inverse(D))))))
% <-> inverse(multiply(inverse(V_4),multiply(V_4,C)))
% Rule [512]
% multiply(inverse(multiply(multiply(B,inverse(B)),multiply(C,A))),
% multiply(multiply(D,inverse(D)),C)) ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),A))))))) is composed into
% [512]
% multiply(inverse(multiply(multiply(B,inverse(B)),multiply(C,A))),multiply(
% multiply(D,
% inverse(D)),C))
% ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),A)))))
% Rule [462]
% multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(inverse(C),A))))))
% <->
% inverse(multiply(c3,inverse(inverse(inverse(multiply(D,inverse(D))))))) is composed into
% [462]
% multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(
% inverse(C),A))))))
% <-> inverse(multiply(c3,inverse(multiply(D,inverse(D)))))
% Rule [457]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,
% inverse(D)))))))
% <->
% inverse(multiply(C,inverse(inverse(inverse(multiply(V_4,inverse(V_4))))))) is composed into
% [457]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,
% inverse(D)))))))
% <-> inverse(multiply(C,inverse(multiply(V_4,inverse(V_4)))))
% Rule [454]
% multiply(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,C))),
% multiply(inverse(multiply(D,inverse(B))),D)) ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),C))))))) is composed into
% [454]
% multiply(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,C))),
% multiply(inverse(multiply(D,inverse(B))),D)) ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),C)))))
% Rule [453]
% inverse(multiply(inverse(multiply(c3,multiply(multiply(inverse(c3),A),B))),
% multiply(C,multiply(inverse(C),A)))) ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),B)))))))) is composed into
% [453]
% inverse(multiply(inverse(multiply(c3,multiply(multiply(inverse(c3),A),B))),
% multiply(C,multiply(inverse(C),A)))) ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),B))))))
% Rule [451]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(
% multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% multiply(
% inverse(c3),B)))))),
% multiply(B,multiply(A,
% multiply(
% multiply(
% inverse(A),B),C)))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),C)))))))) is composed into
% [451]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% multiply(
% inverse(c3),B)))))),
% multiply(B,multiply(A,
% multiply(multiply(
% inverse(A),B),C)))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),C))))))
% Rule [442]
% multiply(inverse(multiply(B,multiply(C,inverse(C)))),multiply(B,A)) ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(A)))))))) is composed into
% [442]
% multiply(inverse(multiply(B,multiply(C,inverse(C)))),multiply(B,A)) ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),
% inverse(A))))))
% Rule [439]
% multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D))))),B))
% ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),C))))))) is composed into
% [439]
% multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D))))),B))
% ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),C)))))
% Rule [438]
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(B,
% inverse(B)),A)))),C))
% ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(C)))))))) is composed into
% [438]
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(B,
% inverse(B)),A)))),C))
% ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),
% inverse(C))))))
% Rule [437]
% multiply(inverse(multiply(A,multiply(multiply(B,inverse(B)),C))),
% multiply(A,multiply(D,inverse(D)))) ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),C))))))) is composed into
% [437]
% multiply(inverse(multiply(A,multiply(multiply(B,inverse(B)),C))),multiply(A,
% multiply(D,
% inverse(D))))
% ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),C)))))
% Rule [436]
% inverse(multiply(inverse(multiply(C,multiply(B,multiply(multiply(D,
% inverse(D)),A)))),C))
% ->
% inverse(multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% multiply(inverse(c3),B))))))) is composed into
% [436]
% inverse(multiply(inverse(multiply(C,multiply(B,multiply(multiply(D,inverse(D)),A)))),C))
% ->
% inverse(multiply(inverse(A),inverse(multiply(c3,multiply(inverse(c3),B)))))
% Rule [422]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% multiply(C,
% inverse(C)))),
% inverse(D)))) <->
% inverse(inverse(multiply(multiply(V_4,inverse(V_4)),multiply(inverse(
% multiply(V_5,
% inverse(V_5))),
% multiply(D,B))))) is composed into
% [422]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% inverse(D)))) <->
% multiply(multiply(V_4,inverse(V_4)),multiply(inverse(multiply(V_5,inverse(V_5))),
% multiply(D,B)))
% Rule [400]
% multiply(inverse(multiply(B,multiply(C,A))),multiply(B,C)) ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),A))))))) is composed into
% [400]
% multiply(inverse(multiply(B,multiply(C,A))),multiply(B,C)) ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),A)))))
% Rule [397]
% inverse(multiply(B,multiply(inverse(multiply(C,multiply(A,multiply(
% multiply(D,
% inverse(D)),B)))),C)))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),A)))))))) is composed into
% [397]
% inverse(multiply(B,multiply(inverse(multiply(C,multiply(A,multiply(multiply(D,
% inverse(D)),B)))),C)))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),A))))))
% Rule [379]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(multiply(C,
% inverse(C)),
% multiply(D,V_4))))))
% -> inverse(inverse(multiply(A,inverse(multiply(D,V_4))))) is composed into
% [379]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(multiply(C,
% inverse(C)),
% multiply(D,V_4)))))) ->
% multiply(A,inverse(multiply(D,V_4)))
% Rule [356]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(c3,multiply(
% inverse(c3),A)))))
% <-> inverse(inverse(inverse(multiply(C,inverse(C))))) is composed into
% [356]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(c3,multiply(
% inverse(c3),A)))))
% <-> inverse(multiply(C,inverse(C)))
% Rule [350]
% multiply(A,multiply(B,inverse(B))) <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(A)))) is composed into
% [350]
% multiply(A,multiply(B,inverse(B))) <-> multiply(c3,multiply(inverse(c3),A))
% Rule [335]
% inverse(multiply(B,multiply(C,inverse(C)))) <->
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(B))))) is composed into
% [335]
% inverse(multiply(B,multiply(C,inverse(C)))) <->
% inverse(multiply(A,multiply(inverse(A),B)))
% Rule [331]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,inverse(C))))))
% -> inverse(inverse(A)) is composed into [331]
% multiply(A,inverse(multiply(B,
% multiply(
% inverse(B),
% multiply(C,
% inverse(C))))))
% -> A
% Rule [310]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(B,
% inverse(B)),
% inverse(C)))))) ->
% inverse(inverse(multiply(A,C))) is composed into [310]
% multiply(A,inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),
% inverse(C))))))
% -> multiply(A,C)
% Rule [288]
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,C))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(B)),
% multiply(C,multiply(D,inverse(D)))))) is composed into
% [288]
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,C))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,multiply(D,
% inverse(D))))))
% Rule [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))),D))) is composed into
% [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% multiply(B,inverse(B))))),D)))
% Rule [278]
% inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(
% multiply(D,
% inverse(D)),
% multiply(A,B)))),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(V_4,
% inverse(V_4))))))) is composed into
% [278]
% inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(multiply(D,
% inverse(D)),
% multiply(A,B)))),C))))
% <-> inverse(multiply(c3,multiply(inverse(c3),multiply(V_4,inverse(V_4)))))
% Rule [227]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(C)))))
% <->
% inverse(inverse(inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(D,
% inverse(D)),B)))))) is composed into
% [227]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(C)))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),B))))
% Rule [216]
% multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),inverse(
% multiply(A,
% multiply(D,V_4))))))
% <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) is composed into
% [216]
% multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),inverse(multiply(A,
% multiply(D,V_4))))))
% <-> inverse(multiply(A,inverse(multiply(C,inverse(C)))))
% Rule [213]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% inverse(B))),
% multiply(C,multiply(D,inverse(D))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(C))))))))) is composed into
% [213]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(C,multiply(D,inverse(D))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(C)))))))
% Rule [211]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,
% inverse(C))),
% multiply(V_4,multiply(V_5,
% inverse(V_5))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(C))))))))) is composed into
% [211]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,
% inverse(C))),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(C)))))))
% Rule [175]
% multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(multiply(V_5,
% inverse(V_5)),D)))),V_4))
% ->
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),C))))))) is composed into
% [175]
% multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(multiply(V_5,
% inverse(V_5)),D)))),V_4))
% ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),C)))))
% Rule [102]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),C)))))))) is composed into
% [102]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),C))))))
% Rule [81]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),C)))))))) is composed into
% [81]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),C))))))
% New rule produced : [583] inverse(inverse(A)) -> A
% Rule
% [137]
% inverse(inverse(multiply(A,multiply(B,multiply(C,inverse(C)))))) ->
% multiply(A,B) collapsed.
% Rule
% [157]
% inverse(multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(C,
% inverse(C))))))))
% -> A collapsed.
% Rule [178] multiply(A,multiply(inverse(A),inverse(inverse(c3)))) -> c3
% collapsed.
% Rule
% [226]
% inverse(inverse(inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,
% inverse(D)),B))))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(C)))))
% collapsed.
% Rule
% [230] inverse(inverse(multiply(B,inverse(B)))) <-> multiply(c3,inverse(c3))
% collapsed.
% Rule
% [289]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(inverse(B)),
% multiply(C,multiply(D,inverse(D))))))
% <-> inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,C)))
% collapsed.
% Rule
% [309]
% inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(D,inverse(D))))))))
% <->
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(V_4,
% inverse(V_4)),
% multiply(B,C))))))
% collapsed.
% Rule
% [323]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [325]
% multiply(inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))),A)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [336]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(B))))) <->
% inverse(multiply(B,multiply(C,inverse(C)))) collapsed.
% Rule
% [337]
% inverse(inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(C,
% inverse(C))))))))
% <->
% inverse(inverse(multiply(A,multiply(inverse(A),inverse(inverse(multiply(A,
% inverse(A))))))))
% collapsed.
% Rule
% [338]
% inverse(inverse(multiply(A,multiply(inverse(A),inverse(inverse(multiply(A,
% inverse(A))))))))
% <->
% inverse(inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(C,
% inverse(C))))))))
% collapsed.
% Rule
% [340]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [341]
% multiply(multiply(A,inverse(A)),inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(inverse(
% multiply(B,
% inverse(B)))))))))
% <-> inverse(inverse(inverse(multiply(C,inverse(C))))) collapsed.
% Rule
% [342]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,multiply(inverse(c3),
% inverse(inverse(inverse(
% multiply(B,
% multiply(C,
% inverse(C))))))))))
% -> inverse(inverse(B)) collapsed.
% Rule
% [346]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(B,
% multiply(
% inverse(B),
% multiply(
% multiply(C,
% inverse(C)),A)))))))))
% -> A collapsed.
% Rule
% [351]
% multiply(c3,multiply(inverse(c3),inverse(inverse(A)))) <->
% multiply(A,multiply(B,inverse(B))) collapsed.
% Rule
% [353]
% multiply(c3,multiply(inverse(c3),multiply(inverse(inverse(A)),B))) ->
% multiply(A,multiply(c3,multiply(inverse(c3),B))) collapsed.
% Rule
% [355]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [357]
% inverse(inverse(multiply(D,inverse(inverse(inverse(multiply(C,inverse(C))))))))
% -> D collapsed.
% Rule
% [358]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) ->
% inverse(A) collapsed.
% Rule
% [360]
% inverse(multiply(multiply(D,V_4),inverse(inverse(inverse(multiply(C,inverse(C)))))))
% -> inverse(multiply(D,V_4)) collapsed.
% Rule
% [363]
% multiply(B,multiply(inverse(B),multiply(inverse(inverse(c3)),A))) ->
% multiply(c3,multiply(c3,multiply(inverse(c3),A))) collapsed.
% Rule
% [367]
% inverse(multiply(inverse(multiply(D,inverse(inverse(inverse(multiply(C,
% inverse(C))))))),
% multiply(D,inverse(inverse(c3))))) -> inverse(c3) collapsed.
% Rule
% [368]
% inverse(multiply(inverse(c3),multiply(inverse(inverse(A)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(A,
% multiply(C,
% inverse(C))))))))
% -> c3 collapsed.
% Rule
% [369]
% inverse(multiply(B,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(B),A)))))))
% <->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% inverse(c3),A)))))))
% collapsed.
% Rule
% [370]
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% inverse(c3),A)))))))
% <->
% inverse(multiply(B,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(B),A)))))))
% collapsed.
% Rule
% [374]
% inverse(inverse(inverse(multiply(B,multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% multiply(
% inverse(B),A)))))))))
% -> inverse(multiply(c3,multiply(inverse(c3),A))) collapsed.
% Rule
% [387]
% multiply(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,
% multiply(
% inverse(A),
% multiply(
% multiply(B,
% inverse(B)),C)))))))),C)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [392]
% inverse(multiply(inverse(inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(D,
% inverse(D)),B))))),C))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(c3,multiply(
% inverse(c3),C)))))
% collapsed.
% Rule
% [393]
% multiply(inverse(multiply(A,multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% multiply(
% inverse(A),B))))))),
% multiply(c3,multiply(inverse(c3),B))) -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [394]
% multiply(inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(
% inverse(
% multiply(
% inverse(c3),A))))))),
% multiply(B,multiply(inverse(B),A))) -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [395]
% multiply(multiply(inverse(c3),multiply(inverse(inverse(A)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(A,
% multiply(C,
% inverse(C))))))),c3)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [398]
% multiply(multiply(B,inverse(B)),inverse(multiply(c3,multiply(inverse(c3),
% inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),A)))))))))
% -> A collapsed.
% Rule
% [399]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(C,multiply(
% inverse(C),
% inverse(
% inverse(A))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [403]
% multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),A)))))))))
% <-> inverse(multiply(C,inverse(C))) collapsed.
% Rule
% [405]
% inverse(inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(c3)))))))))
% -> c3 collapsed.
% Rule
% [411]
% multiply(multiply(A,inverse(A)),multiply(inverse(inverse(c3)),multiply(
% multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(c3,
% multiply(C,
% inverse(C))))),D)))
% -> D collapsed.
% Rule
% [417]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))))
% -> inverse(inverse(inverse(inverse(A)))) collapsed.
% Rule
% [420]
% inverse(inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(D,
% inverse(D)))))))))))
% <-> multiply(multiply(A,inverse(A)),inverse(inverse(B))) collapsed.
% Rule
% [421]
% multiply(multiply(A,inverse(A)),inverse(inverse(B))) <->
% inverse(inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(D,
% inverse(D)))))))))))
% collapsed.
% Rule
% [423]
% multiply(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,
% inverse(B))))))),
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,inverse(A))))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [424]
% inverse(inverse(multiply(multiply(c3,inverse(c3)),multiply(c3,multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(A))),B))))))))
% -> multiply(c3,multiply(inverse(c3),B)) collapsed.
% Rule
% [430]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(A))))))))))
% <-> inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(A))))))
% collapsed.
% Rule
% [431]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(A,
% multiply(
% inverse(A),B))))))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),B))))))))
% collapsed.
% Rule
% [432]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),B))))))))
% <->
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(A,
% multiply(
% inverse(A),B))))))))
% collapsed.
% Rule
% [433]
% inverse(multiply(inverse(c3),multiply(multiply(inverse(inverse(A)),B),
% multiply(multiply(C,inverse(C)),inverse(
% multiply(A,
% multiply(c3,
% multiply(
% inverse(c3),B))))))))
% -> c3 collapsed.
% Rule
% [443]
% inverse(multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(A),
% inverse(
% inverse(c3)))))))))
% -> inverse(c3) collapsed.
% Rule
% [444]
% multiply(multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(c3,
% multiply(C,
% inverse(C))))))),A)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [446]
% multiply(multiply(inverse(A),inverse(inverse(c3))),inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(c3))))))))))
% -> inverse(A) collapsed.
% Rule
% [456]
% inverse(multiply(C,inverse(inverse(inverse(multiply(V_4,inverse(V_4)))))))
% <->
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,
% inverse(D)))))))
% collapsed.
% Rule
% [458]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) ->
% inverse(A) collapsed.
% Rule
% [459]
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(B)))))) <->
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C)))))))
% collapsed.
% Rule
% [461]
% inverse(multiply(c3,inverse(inverse(inverse(multiply(D,inverse(D))))))) ->
% inverse(c3) collapsed.
% Rule
% [465]
% inverse(multiply(A,inverse(inverse(inverse(multiply(C,inverse(C))))))) ->
% inverse(A) collapsed.
% Rule
% [468]
% multiply(A,inverse(multiply(B,inverse(inverse(inverse(multiply(C,inverse(C))))))))
% <->
% multiply(c3,multiply(inverse(c3),multiply(D,inverse(multiply(multiply(V_4,
% inverse(V_4)),
% multiply(B,multiply(
% inverse(A),D)))))))
% collapsed.
% Rule
% [471]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(multiply(c3,
% inverse(inverse(
% inverse(
% multiply(B,
% inverse(B))))))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [476]
% inverse(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),C)))))))))
% -> C collapsed.
% Rule
% [477]
% inverse(multiply(inverse(A),multiply(inverse(inverse(c3)),inverse(inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),c3)))))))))
% -> A collapsed.
% Rule
% [478]
% multiply(multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),C)))))))),C)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [481]
% inverse(multiply(C,inverse(inverse(inverse(multiply(D,inverse(D))))))) <->
% multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),C))))))))
% collapsed.
% Rule
% [482]
% multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),C))))))))
% <-> inverse(multiply(C,inverse(inverse(inverse(multiply(D,inverse(D)))))))
% collapsed.
% Rule
% [483]
% inverse(multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(C))),
% multiply(D,A))))))))))
% -> D collapsed.
% Rule
% [485]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(C,D)))))))))
% -> inverse(multiply(C,D)) collapsed.
% Rule
% [487]
% multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,multiply(
% inverse(A),
% multiply(
% multiply(B,
% inverse(B)),
% multiply(C,D)))))))))
% -> inverse(multiply(C,D)) collapsed.
% Rule
% [490]
% multiply(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,
% inverse(multiply(C,
% inverse(C)))))),
% multiply(multiply(D,inverse(D)),inverse(inverse(B)))) <->
% inverse(multiply(V_4,inverse(V_4))) collapsed.
% Rule
% [494]
% multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(A,B))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [495]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% multiply(inverse(c3),
% inverse(inverse(
% multiply(B,
% inverse(B))))))),
% inverse(D)))) ->
% inverse(inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(D))))))))))
% collapsed.
% Rule
% [496]
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% inverse(c3),
% multiply(
% multiply(A,
% inverse(A)),B))))))))
% <->
% inverse(multiply(C,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(C),
% multiply(
% multiply(D,
% inverse(D)),B))))))))
% collapsed.
% Rule
% [497]
% inverse(multiply(C,multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(
% inverse(C),
% multiply(
% multiply(D,
% inverse(D)),B))))))))
% <->
% inverse(multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% inverse(c3),
% multiply(
% multiply(A,
% inverse(A)),B))))))))
% collapsed.
% Rule
% [499]
% inverse(multiply(multiply(A,B),multiply(inverse(inverse(c3)),multiply(
% multiply(C,
% inverse(C)),
% inverse(
% multiply(c3,
% multiply(D,
% inverse(D))))))))
% <-> inverse(multiply(A,multiply(B,multiply(V_4,inverse(V_4))))) collapsed.
% Rule
% [504]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))))))
% <->
% multiply(c3,multiply(inverse(c3),inverse(inverse(multiply(A,inverse(A))))))
% collapsed.
% Rule
% [509]
% multiply(multiply(A,multiply(c3,multiply(inverse(c3),inverse(inverse(
% multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(C))),
% multiply(D,A))))))))),D)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [513]
% inverse(multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(B)))))),
% multiply(A,C))) <->
% multiply(multiply(D,inverse(D)),inverse(multiply(multiply(c3,inverse(c3)),C)))
% collapsed.
% Rule
% [519]
% multiply(A,multiply(inverse(A),inverse(inverse(inverse(multiply(c3,multiply(
% inverse(c3),
% multiply(
% multiply(B,
% inverse(B)),
% inverse(C)))))))))
% -> C collapsed.
% Rule
% [520]
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(A,
% inverse(B))))))))
% <-> inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(A))))
% collapsed.
% Rule
% [543]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(inverse(B)),C))) <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,C))) collapsed.
% Rule
% [545]
% multiply(multiply(A,inverse(A)),inverse(inverse(inverse(B)))) <->
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(D,
% inverse(D)))))
% collapsed.
% Rule
% [549]
% multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,inverse(C)),
% inverse(multiply(inverse(inverse(D)),
% multiply(A,multiply(V_4,
% inverse(V_4))))))))
% -> inverse(D) collapsed.
% Rule
% [550]
% multiply(multiply(c3,multiply(inverse(c3),A)),inverse(multiply(inverse(
% multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(C,
% inverse(C))))))),
% multiply(B,A)))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [555]
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(A,inverse(A)),
% inverse(multiply(inverse(multiply(c3,
% multiply(B,
% inverse(B)))),D)))))
% -> D collapsed.
% Rule
% [557]
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(inverse(multiply(B,
% multiply(C,
% inverse(
% multiply(D,
% inverse(D))))))))))
% <-> inverse(inverse(multiply(multiply(V_4,inverse(V_4)),multiply(B,C))))
% collapsed.
% Rule
% [562]
% inverse(multiply(multiply(A,inverse(A)),inverse(inverse(multiply(B,inverse(B))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [567]
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(D,V_5))))))
% <-> multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5))))
% collapsed.
% Rule
% [570]
% multiply(multiply(c3,inverse(c3)),multiply(multiply(A,inverse(A)),inverse(
% inverse(
% inverse(B)))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(multiply(c3,
% multiply(
% inverse(c3),
% inverse(B)))))))))
% collapsed.
% Rule
% [582]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(c3))))))
% <-> multiply(B,inverse(B)) collapsed.
% Current number of equations to process: 3089
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [584] multiply(A,multiply(inverse(A),c3)) -> c3
% Current number of equations to process: 3088
% Current number of ordered equations: 0
% Current number of rules: 150
% Rule [462]
% multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(inverse(C),A))))))
% <-> inverse(multiply(c3,inverse(multiply(D,inverse(D))))) is composed into
% [462]
% multiply(inverse(c3),multiply(A,multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(
% inverse(C),A))))))
% -> inverse(c3)
% Rule [457]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,
% inverse(D)))))))
% <-> inverse(multiply(C,inverse(multiply(V_4,inverse(V_4))))) is composed into
% [457]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,
% inverse(D)))))))
% -> inverse(C)
% Rule [216]
% multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),inverse(
% multiply(A,
% multiply(D,V_4))))))
% <-> inverse(multiply(A,inverse(multiply(C,inverse(C))))) is composed into
% [216]
% multiply(D,multiply(V_4,multiply(multiply(V_5,inverse(V_5)),inverse(multiply(A,
% multiply(D,V_4))))))
% -> inverse(A)
% New rule produced : [585] multiply(D,inverse(multiply(C,inverse(C)))) -> D
% Rule
% [66]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [366]
% multiply(c3,multiply(inverse(c3),inverse(multiply(A,inverse(A))))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [559]
% multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(C,inverse(
% multiply(V_4,
% inverse(V_4)))))))
% <-> multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) collapsed.
% Current number of equations to process: 3087
% Current number of ordered equations: 0
% Current number of rules: 148
% Rule [575]
% multiply(multiply(D,inverse(D)),inverse(B)) <->
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(C,inverse(C))))) is composed into
% [575]
% multiply(multiply(D,inverse(D)),inverse(B)) <->
% inverse(multiply(multiply(A,inverse(A)),B))
% Rule [537]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D))) <->
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(inverse(
% multiply(B,
% multiply(C,
% multiply(V_5,
% inverse(V_5))))),D))) is composed into
% [537]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D))) <->
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(inverse(
% multiply(B,C)),D)))
% Rule [500]
% multiply(V_5,multiply(multiply(V_6,inverse(V_6)),inverse(multiply(C,
% multiply(D,V_5)))))
% <->
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(D,multiply(V_4,
% inverse(V_4))))))) is composed into
% [500]
% multiply(V_5,multiply(multiply(V_6,inverse(V_6)),inverse(multiply(C,multiply(D,V_5)))))
% <->
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,D))))
% Rule [406]
% inverse(multiply(multiply(D,inverse(D)),inverse(multiply(c3,multiply(
% inverse(c3),B)))))
% <-> multiply(multiply(A,inverse(A)),multiply(B,multiply(C,inverse(C)))) is composed into
% [406]
% inverse(multiply(multiply(D,inverse(D)),inverse(multiply(c3,multiply(
% inverse(c3),B)))))
% <-> multiply(multiply(A,inverse(A)),B)
% Rule [288]
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,C))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,multiply(D,
% inverse(D)))))) is composed into
% [288]
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,C))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))
% Rule [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% multiply(
% inverse(c3),
% multiply(B,
% inverse(B))))),D))) is composed into
% [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% inverse(c3))),D)))
% Rule [278]
% inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(
% multiply(D,
% inverse(D)),
% multiply(A,B)))),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(V_4,inverse(V_4))))) is composed into
% [278]
% inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(multiply(D,
% inverse(D)),
% multiply(A,B)))),C))))
% -> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [586] multiply(A,multiply(B,multiply(C,inverse(C)))) -> multiply(A,B)
% Rule
% [79]
% inverse(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(A,
% multiply(V_4,
% inverse(V_4)))))))))
% -> D collapsed.
% Rule
% [81]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),C))))))
% collapsed.
% Rule
% [102]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),C))))))
% collapsed.
% Rule
% [138]
% multiply(A,multiply(inverse(A),multiply(B,inverse(B)))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [203]
% multiply(multiply(A,multiply(B,multiply(C,inverse(C)))),inverse(multiply(A,
% multiply(B,
% multiply(D,
% inverse(D))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [204]
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(
% multiply(C,D)),
% multiply(C,
% multiply(V_4,
% inverse(V_4)))))))
% -> D collapsed.
% Rule
% [208]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% <->
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(c3,B)),c3)))
% collapsed.
% Rule
% [211]
% multiply(multiply(D,inverse(D)),inverse(multiply(inverse(multiply(V_4,
% inverse(C))),
% multiply(V_4,multiply(V_5,inverse(V_5))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(C)))))))
% collapsed.
% Rule
% [213]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,inverse(B))),
% multiply(C,multiply(D,inverse(D))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),
% inverse(C)))))))
% collapsed.
% Rule
% [243]
% multiply(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(A,
% multiply(V_4,
% inverse(V_4)))))))),D)
% <-> multiply(V_5,inverse(V_5)) collapsed.
% Rule
% [313]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D)))),V_4)))
% <->
% multiply(multiply(V_5,inverse(V_5)),inverse(multiply(multiply(B,C),multiply(V_4,
% multiply(V_6,
% inverse(V_6))))))
% collapsed.
% Rule
% [314]
% multiply(multiply(V_5,inverse(V_5)),inverse(multiply(multiply(B,C),multiply(V_4,
% multiply(V_6,
% inverse(V_6))))))
% <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D)))),V_4)))
% collapsed.
% Rule
% [320]
% inverse(multiply(A,multiply(inverse(A),multiply(B,inverse(B))))) ->
% inverse(multiply(c3,inverse(c3))) collapsed.
% Rule
% [331]
% multiply(A,inverse(multiply(B,multiply(inverse(B),multiply(C,inverse(C))))))
% -> A collapsed.
% Rule
% [365]
% multiply(inverse(multiply(A,multiply(B,multiply(C,inverse(C))))),multiply(
% multiply(A,B),D))
% -> multiply(c3,multiply(inverse(c3),D)) collapsed.
% Rule
% [407]
% multiply(multiply(A,inverse(A)),multiply(B,multiply(C,inverse(C)))) <->
% inverse(multiply(multiply(D,inverse(D)),inverse(multiply(c3,multiply(
% inverse(c3),B)))))
% collapsed.
% Rule
% [437]
% multiply(inverse(multiply(A,multiply(multiply(B,inverse(B)),C))),multiply(A,
% multiply(D,
% inverse(D))))
% ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),C)))))
% collapsed.
% Rule
% [439]
% multiply(inverse(multiply(A,inverse(A))),multiply(inverse(multiply(B,
% multiply(C,
% multiply(D,
% inverse(D))))),B))
% ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),C)))))
% collapsed.
% Rule
% [455]
% inverse(multiply(multiply(A,multiply(B,multiply(C,inverse(C)))),multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(A,B))))))
% -> inverse(multiply(c3,inverse(c3))) collapsed.
% Rule
% [498]
% inverse(multiply(A,multiply(B,multiply(V_4,inverse(V_4))))) ->
% inverse(multiply(A,B)) collapsed.
% Rule
% [501]
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,
% multiply(V_4,
% inverse(V_4)))))))
% <->
% multiply(V_5,multiply(multiply(V_6,inverse(V_6)),inverse(multiply(C,multiply(D,V_5)))))
% collapsed.
% Rule
% [515]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(B)),
% multiply(C,multiply(D,inverse(D))))))
% <-> inverse(multiply(inverse(V_4),multiply(V_4,C))) collapsed.
% Rule
% [536]
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(inverse(
% multiply(B,
% multiply(C,
% multiply(V_5,
% inverse(V_5))))),D)))
% <-> inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D)))
% collapsed.
% Rule
% [538]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(B),multiply(B,
% multiply(C,
% inverse(C))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [544]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(D,
% inverse(D)))))
% <-> multiply(multiply(A,inverse(A)),inverse(B)) collapsed.
% Rule
% [574]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(C,inverse(C)))))
% <-> multiply(multiply(D,inverse(D)),inverse(B)) collapsed.
% Current number of equations to process: 3100
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [587]
% multiply(B,inverse(B)) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(c3))))
% Current number of equations to process: 3098
% Current number of ordered equations: 1
% Current number of rules: 124
% Rule [587]
% multiply(B,inverse(B)) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(c3)))) is composed into
% [587] multiply(B,inverse(B)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [588]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(c3)))) <->
% multiply(B,inverse(B))
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [589]
% inverse(multiply(multiply(A,inverse(A)),B)) <->
% inverse(multiply(inverse(multiply(C,inverse(C))),B))
% Current number of equations to process: 3097
% Current number of ordered equations: 1
% Current number of rules: 126
% Rule [540]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(multiply(D,
% inverse(D)),C)))
% <->
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(
% multiply(B,
% inverse(B)),
% inverse(C))))) is composed into
% [540]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(multiply(D,
% inverse(D)),C)))
% <->
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(B)),
% inverse(C)))))
% Rule [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% inverse(c3))),D))) is composed into
% [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(c3,inverse(c3)),D)))
% New rule produced :
% [590]
% inverse(multiply(inverse(multiply(C,inverse(C))),B)) <->
% inverse(multiply(multiply(A,inverse(A)),B))
% Rule
% [454]
% multiply(inverse(multiply(inverse(multiply(A,inverse(A))),multiply(B,C))),
% multiply(inverse(multiply(D,inverse(B))),D)) ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),C)))))
% collapsed.
% Rule
% [539]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(multiply(B,
% inverse(B)),
% inverse(C))))) <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(multiply(D,
% inverse(D)),C)))
% collapsed.
% Rule
% [542]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,C))) <->
% inverse(multiply(multiply(A,inverse(A)),multiply(B,C))) collapsed.
% Current number of equations to process: 3099
% Current number of ordered equations: 0
% Current number of rules: 124
% Rule [526]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,multiply(
% inverse(A),C))))
% <->
% inverse(multiply(inverse(multiply(A,inverse(B))),multiply(c3,multiply(
% inverse(c3),C)))) is composed into
% [526]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,multiply(
% inverse(A),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(inverse(multiply(A,
% inverse(B))),C))))
% Rule [384]
% multiply(B,multiply(inverse(B),multiply(multiply(C,inverse(C)),multiply(
% inverse(
% multiply(D,
% inverse(D))),A))))
% ->
% multiply(c3,multiply(inverse(c3),multiply(c3,multiply(inverse(c3),A)))) is composed into
% [384]
% multiply(B,multiply(inverse(B),multiply(multiply(C,inverse(C)),multiply(
% inverse(
% multiply(D,
% inverse(D))),A))))
% -> multiply(c3,multiply(c3,multiply(inverse(c3),multiply(inverse(c3),A))))
% Rule [382]
% multiply(A,multiply(inverse(A),multiply(c3,multiply(inverse(c3),B))))
% <->
% multiply(c3,multiply(inverse(c3),multiply(c3,multiply(inverse(c3),B)))) is composed into
% [382]
% multiply(A,multiply(inverse(A),multiply(c3,multiply(inverse(c3),B)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),multiply(inverse(c3),B))))
% New rule produced :
% [591]
% multiply(A,multiply(c3,multiply(inverse(c3),B))) <->
% multiply(c3,multiply(inverse(c3),multiply(A,B)))
% Rule
% [381]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% multiply(c3,multiply(inverse(c3),D)))))
% -> inverse(multiply(inverse(B),D)) collapsed.
% Rule
% [425]
% multiply(multiply(inverse(A),B),multiply(multiply(C,inverse(C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(D))),
% multiply(c3,
% multiply(
% inverse(c3),B))))))
% -> inverse(A) collapsed.
% Rule
% [434]
% multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(multiply(c3,
% multiply(
% inverse(c3),A)))),
% multiply(c3,multiply(inverse(c3),C)))) <->
% multiply(inverse(multiply(D,inverse(D))),C) collapsed.
% Rule
% [451]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),
% multiply(c3,
% multiply(
% inverse(c3),B)))))),
% multiply(B,multiply(A,
% multiply(multiply(
% inverse(A),B),C)))))))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),C))))))
% collapsed.
% Rule
% [527]
% inverse(multiply(inverse(multiply(A,inverse(B))),multiply(c3,multiply(
% inverse(c3),C))))
% <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,multiply(
% inverse(A),C))))
% collapsed.
% Rule
% [541]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,C),multiply(c3,
% multiply(
% inverse(c3),
% inverse(
% multiply(B,C)))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 3101
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [592]
% multiply(c3,multiply(inverse(c3),multiply(A,B))) <->
% multiply(A,multiply(c3,multiply(inverse(c3),B)))
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [593]
% multiply(B,multiply(inverse(B),multiply(c3,A))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),A)))
% Rule
% [382]
% multiply(A,multiply(inverse(A),multiply(c3,multiply(inverse(c3),B)))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),multiply(inverse(c3),B))))
% collapsed.
% Current number of equations to process: 3100
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [594]
% multiply(c3,multiply(c3,multiply(inverse(c3),A))) <->
% multiply(B,multiply(inverse(B),multiply(c3,A)))
% Current number of equations to process: 3100
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [595]
% multiply(inverse(multiply(A,B)),multiply(multiply(A,B),D)) ->
% multiply(c3,multiply(inverse(c3),D))
% Rule
% [540]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(multiply(D,
% inverse(D)),C)))
% <->
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(B)),
% inverse(C))))) collapsed.
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [596]
% inverse(multiply(A,multiply(c3,multiply(inverse(c3),multiply(inverse(A),c3)))))
% -> inverse(c3)
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [597] inverse(multiply(inverse(D),multiply(D,c3))) -> inverse(c3)
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [598]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),B))
% -> multiply(c3,multiply(inverse(c3),B))
% Current number of equations to process: 3093
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [599]
% inverse(multiply(multiply(A,inverse(A)),multiply(multiply(c3,inverse(c3)),B)))
% -> inverse(multiply(c3,multiply(inverse(c3),B)))
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [600]
% inverse(multiply(B,multiply(c3,multiply(inverse(c3),multiply(inverse(B),A)))))
% -> inverse(multiply(c3,multiply(inverse(c3),A)))
% Rule
% [596]
% inverse(multiply(A,multiply(c3,multiply(inverse(c3),multiply(inverse(A),c3)))))
% -> inverse(c3) collapsed.
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [601]
% inverse(multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),C)))
% <-> inverse(multiply(inverse(V_4),multiply(V_4,C)))
% Rule
% [599]
% inverse(multiply(multiply(A,inverse(A)),multiply(multiply(c3,inverse(c3)),B)))
% -> inverse(multiply(c3,multiply(inverse(c3),B))) collapsed.
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [602]
% inverse(multiply(inverse(c3),multiply(c3,B))) ->
% inverse(multiply(c3,multiply(inverse(c3),B)))
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [603]
% inverse(multiply(c3,multiply(inverse(c3),C))) <->
% inverse(multiply(inverse(V_4),multiply(V_4,C)))
% Current number of equations to process: 3090
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [604]
% inverse(multiply(inverse(V_4),multiply(V_4,C))) <->
% inverse(multiply(c3,multiply(inverse(c3),C)))
% Rule
% [602]
% inverse(multiply(inverse(c3),multiply(c3,B))) ->
% inverse(multiply(c3,multiply(inverse(c3),B))) collapsed.
% Current number of equations to process: 3090
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [605]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(C,multiply(
% inverse(C),A))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 3089
% Current number of ordered equations: 0
% Current number of rules: 128
% Rule [525]
% multiply(inverse(multiply(D,inverse(B))),multiply(D,C)) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(B,C)) is composed into
% [525]
% multiply(inverse(multiply(D,inverse(B))),multiply(D,C)) <->
% multiply(multiply(A,inverse(A)),multiply(B,C))
% Rule [523]
% multiply(inverse(multiply(C,inverse(B))),C) <->
% multiply(inverse(multiply(A,inverse(A))),B) is composed into [523]
% multiply(
% inverse(
% multiply(C,
% inverse(B))),C)
% <->
% multiply(
% multiply(A,
% inverse(A)),B)
% Rule [278]
% inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(
% multiply(D,
% inverse(D)),
% multiply(A,B)))),C))))
% -> inverse(multiply(c3,inverse(c3))) is composed into [278]
% inverse(multiply(A,
% multiply(B,
% multiply(
% inverse(
% multiply(C,
% multiply(
% multiply(D,
% inverse(D)),
% multiply(A,B)))),C))))
% ->
% multiply(c3,
% inverse(c3))
% New rule produced :
% [606] inverse(multiply(C,inverse(C))) <-> multiply(A,inverse(A))
% Rule
% [291]
% multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(B))),
% multiply(D,C))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [317]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,
% inverse(A))),B)))
% -> inverse(multiply(c3,multiply(inverse(c3),B))) collapsed.
% Rule
% [377]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(A,inverse(A))),
% multiply(multiply(B,inverse(B)),C))) <->
% multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C)))
% collapsed.
% Rule [402] inverse(multiply(C,inverse(C))) <-> multiply(c3,inverse(c3))
% collapsed.
% Rule [489] inverse(multiply(V_4,inverse(V_4))) <-> multiply(c3,inverse(c3))
% collapsed.
% Rule
% [522]
% multiply(inverse(multiply(A,inverse(A))),B) <->
% multiply(inverse(multiply(C,inverse(B))),C) collapsed.
% Rule
% [524]
% multiply(inverse(multiply(A,inverse(A))),multiply(B,C)) <->
% multiply(inverse(multiply(D,inverse(B))),multiply(D,C)) collapsed.
% Rule
% [547]
% multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(D))),
% multiply(B,C))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule [576] inverse(multiply(c3,inverse(c3))) -> multiply(c3,inverse(c3))
% collapsed.
% Rule
% [590]
% inverse(multiply(inverse(multiply(C,inverse(C))),B)) <->
% inverse(multiply(multiply(A,inverse(A)),B)) collapsed.
% Rule
% [598]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),B))
% -> multiply(c3,multiply(inverse(c3),B)) collapsed.
% Current number of equations to process: 3092
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [607]
% multiply(multiply(A,inverse(A)),multiply(multiply(c3,inverse(c3)),B)) ->
% multiply(c3,multiply(inverse(c3),B))
% Current number of equations to process: 3089
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [608] multiply(A,inverse(A)) <-> inverse(multiply(C,inverse(C)))
% Rule
% [589]
% inverse(multiply(multiply(A,inverse(A)),B)) <->
% inverse(multiply(inverse(multiply(C,inverse(C))),B)) collapsed.
% Current number of equations to process: 3089
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [609]
% inverse(multiply(A,multiply(inverse(A),inverse(A)))) <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),A))))))
% Current number of equations to process: 3085
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [610]
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),A))))))
% <-> inverse(multiply(A,multiply(inverse(A),inverse(A))))
% Current number of equations to process: 3085
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [611]
% inverse(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,A))))))
% -> D
% Current number of equations to process: 3084
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [612]
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(
% multiply(C,D)),C))))
% -> D
% Current number of equations to process: 3083
% Current number of ordered equations: 0
% Current number of rules: 123
% Rule [609]
% inverse(multiply(A,multiply(inverse(A),inverse(A)))) <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),A)))))) is composed into
% [609]
% inverse(multiply(A,multiply(inverse(A),inverse(A)))) <->
% inverse(inverse(multiply(c3,multiply(inverse(c3),A))))
% Rule [512]
% multiply(inverse(multiply(multiply(B,inverse(B)),multiply(C,A))),
% multiply(multiply(D,inverse(D)),C)) ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),A))))) is composed into
% [512]
% multiply(inverse(multiply(multiply(B,inverse(B)),multiply(C,A))),multiply(
% multiply(D,
% inverse(D)),C))
% -> inverse(multiply(c3,multiply(inverse(c3),A)))
% Rule [453]
% inverse(multiply(inverse(multiply(c3,multiply(multiply(inverse(c3),A),B))),
% multiply(C,multiply(inverse(C),A)))) ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),B)))))) is composed into
% [453]
% inverse(multiply(inverse(multiply(c3,multiply(multiply(inverse(c3),A),B))),
% multiply(C,multiply(inverse(C),A)))) ->
% inverse(inverse(multiply(c3,multiply(inverse(c3),B))))
% Rule [442]
% multiply(inverse(multiply(B,multiply(C,inverse(C)))),multiply(B,A)) ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),
% inverse(A)))))) is composed into
% [442]
% multiply(inverse(multiply(B,multiply(C,inverse(C)))),multiply(B,A)) ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(A))))
% Rule [438]
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(B,
% inverse(B)),A)))),C))
% ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),
% inverse(C)))))) is composed into
% [438]
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(B,
% inverse(B)),A)))),C))
% -> inverse(multiply(c3,multiply(inverse(c3),inverse(C))))
% Rule [400]
% multiply(inverse(multiply(B,multiply(C,A))),multiply(B,C)) ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),A))))) is composed into
% [400]
% multiply(inverse(multiply(B,multiply(C,A))),multiply(B,C)) ->
% inverse(multiply(c3,multiply(inverse(c3),A)))
% Rule [397]
% inverse(multiply(B,multiply(inverse(multiply(C,multiply(A,multiply(
% multiply(D,
% inverse(D)),B)))),C)))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),A)))))) is composed into
% [397]
% inverse(multiply(B,multiply(inverse(multiply(C,multiply(A,multiply(multiply(D,
% inverse(D)),B)))),C)))
% -> inverse(inverse(multiply(c3,multiply(inverse(c3),A))))
% Rule [175]
% multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(multiply(V_5,
% inverse(V_5)),D)))),V_4))
% ->
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),C))))) is composed into
% [175]
% multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(multiply(V_5,
% inverse(V_5)),D)))),V_4))
% -> inverse(multiply(c3,multiply(inverse(c3),C)))
% New rule produced :
% [613]
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),C)))))
% -> inverse(multiply(c3,multiply(inverse(c3),C)))
% Rule
% [610]
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(
% inverse(c3),A))))))
% <-> inverse(multiply(A,multiply(inverse(A),inverse(A)))) collapsed.
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [614]
% inverse(multiply(A,multiply(inverse(A),inverse(A)))) <->
% multiply(c3,multiply(inverse(c3),A))
% Current number of equations to process: 3080
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [615]
% multiply(c3,multiply(inverse(c3),A)) <->
% inverse(multiply(A,multiply(inverse(A),inverse(A))))
% Current number of equations to process: 3080
% Current number of ordered equations: 0
% Current number of rules: 125
% Rule [500]
% multiply(V_5,multiply(multiply(V_6,inverse(V_6)),inverse(multiply(C,
% multiply(D,V_5)))))
% <->
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),
% inverse(multiply(C,D)))) is composed into
% [500]
% multiply(V_5,multiply(multiply(V_6,inverse(V_6)),inverse(multiply(C,multiply(D,V_5)))))
% -> inverse(multiply(c3,multiply(inverse(c3),multiply(C,D))))
% New rule produced :
% [616]
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(C)))
% -> inverse(multiply(c3,multiply(inverse(c3),C)))
% Rule
% [611]
% inverse(multiply(A,multiply(multiply(B,inverse(B)),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,A))))))
% -> D collapsed.
% Rule
% [612]
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(
% multiply(C,D)),C))))
% -> D collapsed.
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [617]
% inverse(multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(D,A))))))
% -> D
% Current number of equations to process: 3080
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [618]
% inverse(multiply(c3,multiply(inverse(c3),multiply(inverse(multiply(C,D)),C))))
% -> D
% Current number of equations to process: 3079
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [619] multiply(A,multiply(B,inverse(B))) -> A
% Rule
% [143]
% inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(D,
% inverse(D))))))))
% -> C collapsed.
% Rule
% [147]
% multiply(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(D,
% inverse(D))))))),C)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [180]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(A,multiply(C,
% inverse(C)))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [225]
% inverse(multiply(multiply(A,inverse(A)),multiply(inverse(multiply(B,inverse(B))),
% multiply(multiply(C,inverse(C)),
% inverse(multiply(D,multiply(V_4,
% inverse(V_4))))))))
% -> D collapsed.
% Rule
% [227]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,multiply(C,inverse(C)))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),B))))
% collapsed.
% Rule
% [335]
% inverse(multiply(B,multiply(C,inverse(C)))) <->
% inverse(multiply(A,multiply(inverse(A),B))) collapsed.
% Rule
% [350]
% multiply(A,multiply(B,inverse(B))) <-> multiply(c3,multiply(inverse(c3),A))
% collapsed.
% Rule
% [386]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(c3,
% multiply(B,inverse(B)))),
% multiply(C,multiply(inverse(C),D)))))
% -> inverse(multiply(inverse(c3),D)) collapsed.
% Rule
% [422]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(C,
% inverse(C)))),
% inverse(D)))) <->
% multiply(multiply(V_4,inverse(V_4)),multiply(inverse(multiply(V_5,inverse(V_5))),
% multiply(D,B))) collapsed.
% Rule
% [441]
% multiply(inverse(multiply(A,multiply(B,inverse(B)))),A) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [442]
% multiply(inverse(multiply(B,multiply(C,inverse(C)))),multiply(B,A)) ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(A)))) collapsed.
% Rule
% [457]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,
% inverse(D)))))))
% -> inverse(C) collapsed.
% Rule
% [492]
% multiply(inverse(C),multiply(D,inverse(D))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% inverse(c3)))),
% multiply(B,C)))) collapsed.
% Rule
% [517]
% multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(C),
% multiply(D,
% inverse(D)))))))
% -> C collapsed.
% Rule
% [548]
% inverse(multiply(inverse(multiply(B,inverse(B))),multiply(A,multiply(
% multiply(C,
% inverse(C)),
% inverse(multiply(c3,
% multiply(D,
% inverse(D))))))))
% -> multiply(c3,inverse(A)) collapsed.
% Rule [577] multiply(A,multiply(c3,inverse(c3))) -> A collapsed.
% Rule [586] multiply(A,multiply(B,multiply(C,inverse(C)))) -> multiply(A,B)
% collapsed.
% Rule
% [605]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(C,multiply(
% inverse(C),A))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 109
% Rule [616]
% multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),
% inverse(C))) ->
% inverse(multiply(c3,multiply(inverse(c3),C))) is composed into [616]
% multiply(
% multiply(A,
% inverse(A)),
% multiply(
% multiply(B,
% inverse(B)),
% inverse(C)))
% ->
% inverse(C)
% Rule [614]
% inverse(multiply(A,multiply(inverse(A),inverse(A)))) <->
% multiply(c3,multiply(inverse(c3),A)) is composed into [614]
% inverse(multiply(A,
% multiply(
% inverse(A),
% inverse(A))))
% -> A
% Rule [609]
% inverse(multiply(A,multiply(inverse(A),inverse(A)))) <->
% inverse(inverse(multiply(c3,multiply(inverse(c3),A)))) is composed into
% [609]
% inverse(multiply(A,multiply(inverse(A),inverse(A)))) -> inverse(inverse(A))
% Rule [607]
% multiply(multiply(A,inverse(A)),multiply(multiply(c3,inverse(c3)),B)) ->
% multiply(c3,multiply(inverse(c3),B)) is composed into [607]
% multiply(multiply(A,
% inverse(A)),
% multiply(multiply(c3,
% inverse(c3)),B))
% -> B
% Rule [604]
% inverse(multiply(inverse(V_4),multiply(V_4,C))) <->
% inverse(multiply(c3,multiply(inverse(c3),C))) is composed into [604]
% inverse(
% multiply(
% inverse(V_4),
% multiply(V_4,C)))
% ->
% inverse(C)
% Rule [595]
% multiply(inverse(multiply(A,B)),multiply(multiply(A,B),D)) ->
% multiply(c3,multiply(inverse(c3),D)) is composed into [595]
% multiply(inverse(
% multiply(A,B)),
% multiply(multiply(A,B),D))
% -> D
% Rule [593]
% multiply(B,multiply(inverse(B),multiply(c3,A))) <->
% multiply(c3,multiply(c3,multiply(inverse(c3),A))) is composed into
% [593] multiply(B,multiply(inverse(B),multiply(c3,A))) -> multiply(c3,A)
% Rule [526]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,multiply(
% inverse(A),C))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),multiply(inverse(multiply(A,
% inverse(B))),C)))) is composed into
% [526]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,multiply(
% inverse(A),C))))
% <-> inverse(multiply(inverse(multiply(A,inverse(B))),C))
% Rule [521]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(A))))
% <->
% inverse(multiply(c3,multiply(inverse(c3),inverse(multiply(A,inverse(B)))))) is composed into
% [521]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(A)))) <->
% inverse(inverse(multiply(A,inverse(B))))
% Rule [512]
% multiply(inverse(multiply(multiply(B,inverse(B)),multiply(C,A))),
% multiply(multiply(D,inverse(D)),C)) ->
% inverse(multiply(c3,multiply(inverse(c3),A))) is composed into [512]
% multiply(
% inverse(
% multiply(
% multiply(B,
% inverse(B)),
% multiply(C,A))),
% multiply(
% multiply(D,
% inverse(D)),C))
% ->
% inverse(A)
% Rule [507]
% multiply(multiply(multiply(A,inverse(A)),B),multiply(inverse(multiply(
% multiply(c3,
% inverse(c3)),B)),C))
% -> multiply(c3,multiply(inverse(c3),C)) is composed into [507]
% multiply(
% multiply(
% multiply(A,
% inverse(A)),B),
% multiply(
% inverse(
% multiply(
% multiply(c3,
% inverse(c3)),B)),C))
% -> C
% Rule [500]
% multiply(V_5,multiply(multiply(V_6,inverse(V_6)),inverse(multiply(C,
% multiply(D,V_5)))))
% -> inverse(multiply(c3,multiply(inverse(c3),multiply(C,D)))) is composed into
% [500]
% multiply(V_5,multiply(multiply(V_6,inverse(V_6)),inverse(multiply(C,multiply(D,V_5)))))
% -> inverse(multiply(C,D))
% Rule [453]
% inverse(multiply(inverse(multiply(c3,multiply(multiply(inverse(c3),A),B))),
% multiply(C,multiply(inverse(C),A)))) ->
% inverse(inverse(multiply(c3,multiply(inverse(c3),B)))) is composed into
% [453]
% inverse(multiply(inverse(multiply(c3,multiply(multiply(inverse(c3),A),B))),
% multiply(C,multiply(inverse(C),A)))) -> inverse(inverse(B))
% Rule [436]
% inverse(multiply(inverse(multiply(C,multiply(B,multiply(multiply(D,
% inverse(D)),A)))),C))
% ->
% inverse(multiply(inverse(A),inverse(multiply(c3,multiply(inverse(c3),B))))) is composed into
% [436]
% inverse(multiply(inverse(multiply(C,multiply(B,multiply(multiply(D,inverse(D)),A)))),C))
% -> inverse(multiply(inverse(A),inverse(B)))
% Rule [410]
% multiply(A,inverse(B)) <->
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(
% multiply(D,
% inverse(D)),
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),A))))))) is composed into
% [410]
% multiply(A,inverse(B)) <->
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(
% multiply(D,
% inverse(D)),
% inverse(A)))))
% Rule [400]
% multiply(inverse(multiply(B,multiply(C,A))),multiply(B,C)) ->
% inverse(multiply(c3,multiply(inverse(c3),A))) is composed into [400]
% multiply(
% inverse(
% multiply(B,
% multiply(C,A))),
% multiply(B,C))
% ->
% inverse(A)
% Rule [397]
% inverse(multiply(B,multiply(inverse(multiply(C,multiply(A,multiply(
% multiply(D,
% inverse(D)),B)))),C)))
% -> inverse(inverse(multiply(c3,multiply(inverse(c3),A)))) is composed into
% [397]
% inverse(multiply(B,multiply(inverse(multiply(C,multiply(A,multiply(multiply(D,
% inverse(D)),B)))),C)))
% -> inverse(inverse(A))
% Rule [388]
% multiply(A,inverse(B)) <->
% multiply(c3,multiply(inverse(c3),multiply(multiply(C,inverse(C)),
% inverse(multiply(inverse(multiply(D,
% inverse(D))),
% multiply(B,inverse(A))))))) is composed into
% [388]
% multiply(A,inverse(B)) <->
% multiply(multiply(C,inverse(C)),inverse(multiply(inverse(multiply(D,inverse(D))),
% multiply(B,inverse(A)))))
% Rule [384]
% multiply(B,multiply(inverse(B),multiply(multiply(C,inverse(C)),multiply(
% inverse(
% multiply(D,
% inverse(D))),A))))
% ->
% multiply(c3,multiply(c3,multiply(inverse(c3),multiply(inverse(c3),A)))) is composed into
% [384]
% multiply(B,multiply(inverse(B),multiply(multiply(C,inverse(C)),multiply(
% inverse(
% multiply(D,
% inverse(D))),A))))
% -> A
% Rule [373]
% multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(D,
% multiply(A,B)))))),
% multiply(D,V_4)) -> multiply(c3,multiply(inverse(c3),V_4)) is composed into
% [373]
% multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(D,
% multiply(A,B)))))),
% multiply(D,V_4)) -> V_4
% Rule [371]
% multiply(inverse(D),C) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% multiply(c3,
% multiply(
% inverse(c3),C)))),
% multiply(B,D)))) is composed into
% [371]
% multiply(inverse(D),C) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,D))))
% Rule [175]
% multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(multiply(V_5,
% inverse(V_5)),D)))),V_4))
% -> inverse(multiply(c3,multiply(inverse(c3),C))) is composed into
% [175]
% multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(multiply(V_5,
% inverse(V_5)),D)))),V_4))
% -> inverse(C)
% Rule [151]
% multiply(A,multiply(inverse(A),B)) <->
% multiply(c3,multiply(inverse(c3),B)) is composed into [151]
% multiply(A,
% multiply(inverse(A),B))
% -> B
% New rule produced : [620] multiply(c3,multiply(inverse(c3),A)) -> A
% Rule
% [152]
% multiply(c3,multiply(inverse(c3),B)) <-> multiply(A,multiply(inverse(A),B))
% collapsed.
% Rule
% [310]
% multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(B,
% inverse(B)),
% inverse(C)))))) ->
% multiply(A,C) collapsed.
% Rule
% [356]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(multiply(c3,multiply(
% inverse(c3),A)))))
% <-> inverse(multiply(C,inverse(C))) collapsed.
% Rule
% [372]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,multiply(c3,
% multiply(
% inverse(c3),C)))),
% multiply(B,D)))) <->
% multiply(inverse(D),C) collapsed.
% Rule
% [376]
% multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C))) <->
% multiply(c3,multiply(inverse(c3),multiply(multiply(c3,inverse(c3)),C)))
% collapsed.
% Rule
% [380]
% inverse(multiply(A,multiply(multiply(inverse(A),B),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(c3,
% multiply(inverse(c3),B))))))))
% -> D collapsed.
% Rule
% [389]
% multiply(c3,multiply(inverse(c3),multiply(multiply(C,inverse(C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(D))),
% multiply(B,
% inverse(A)))))))
% <-> multiply(A,inverse(B)) collapsed.
% Rule
% [406]
% inverse(multiply(multiply(D,inverse(D)),inverse(multiply(c3,multiply(
% inverse(c3),B)))))
% <-> multiply(multiply(A,inverse(A)),B) collapsed.
% Rule
% [409]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(
% multiply(D,
% inverse(D)),
% inverse(multiply(c3,
% multiply(
% inverse(c3),A)))))))
% <-> multiply(A,inverse(B)) collapsed.
% Rule
% [412]
% multiply(multiply(A,inverse(A)),multiply(B,multiply(c3,multiply(inverse(c3),C))))
% <->
% multiply(multiply(c3,inverse(c3)),multiply(B,multiply(c3,multiply(inverse(c3),C))))
% collapsed.
% Rule
% [413]
% multiply(inverse(multiply(multiply(D,inverse(D)),inverse(multiply(c3,
% multiply(inverse(c3),B))))),C)
% <->
% multiply(multiply(A,inverse(A)),multiply(B,multiply(c3,multiply(inverse(c3),C))))
% collapsed.
% Rule
% [438]
% multiply(A,multiply(inverse(multiply(c3,multiply(inverse(c3),multiply(
% multiply(B,
% inverse(B)),A)))),C))
% -> inverse(multiply(c3,multiply(inverse(c3),inverse(C)))) collapsed.
% Rule
% [450]
% multiply(multiply(A,multiply(multiply(inverse(A),B),multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(c3,
% multiply(
% inverse(c3),B))))))),D)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [510]
% multiply(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(c3,multiply(inverse(c3),multiply(multiply(D,inverse(D)),C)))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [534]
% multiply(A,multiply(multiply(inverse(A),B),multiply(multiply(C,inverse(C)),
% inverse(multiply(inverse(D),
% multiply(c3,multiply(
% inverse(c3),B)))))))
% -> D collapsed.
% Rule
% [588]
% multiply(c3,multiply(c3,multiply(inverse(c3),inverse(c3)))) <->
% multiply(B,inverse(B)) collapsed.
% Rule
% [591]
% multiply(A,multiply(c3,multiply(inverse(c3),B))) <->
% multiply(c3,multiply(inverse(c3),multiply(A,B))) collapsed.
% Rule
% [592]
% multiply(c3,multiply(inverse(c3),multiply(A,B))) <->
% multiply(A,multiply(c3,multiply(inverse(c3),B))) collapsed.
% Rule
% [594]
% multiply(c3,multiply(c3,multiply(inverse(c3),A))) <->
% multiply(B,multiply(inverse(B),multiply(c3,A))) collapsed.
% Rule
% [600]
% inverse(multiply(B,multiply(c3,multiply(inverse(c3),multiply(inverse(B),A)))))
% -> inverse(multiply(c3,multiply(inverse(c3),A))) collapsed.
% Rule
% [603]
% inverse(multiply(c3,multiply(inverse(c3),C))) <->
% inverse(multiply(inverse(V_4),multiply(V_4,C))) collapsed.
% Rule
% [613]
% multiply(c3,multiply(inverse(c3),inverse(multiply(c3,multiply(inverse(c3),C)))))
% -> inverse(multiply(c3,multiply(inverse(c3),C))) collapsed.
% Rule
% [615]
% multiply(c3,multiply(inverse(c3),A)) <->
% inverse(multiply(A,multiply(inverse(A),inverse(A)))) collapsed.
% Rule
% [617]
% inverse(multiply(A,inverse(multiply(c3,multiply(inverse(c3),multiply(D,A))))))
% -> D collapsed.
% Rule
% [618]
% inverse(multiply(c3,multiply(inverse(c3),multiply(inverse(multiply(C,D)),C))))
% -> D collapsed.
% Current number of equations to process: 3107
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [621] inverse(multiply(A,inverse(multiply(D,A)))) -> D
% Current number of equations to process: 3106
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [622] inverse(multiply(inverse(multiply(C,D)),C)) -> D
% Rule
% [436]
% inverse(multiply(inverse(multiply(C,multiply(B,multiply(multiply(D,inverse(D)),A)))),C))
% -> inverse(multiply(inverse(A),inverse(B))) collapsed.
% Current number of equations to process: 3106
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [623]
% inverse(multiply(inverse(A),inverse(B))) <->
% multiply(B,multiply(multiply(D,inverse(D)),A))
% Current number of equations to process: 3102
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [624]
% multiply(B,multiply(multiply(D,inverse(D)),A)) <->
% inverse(multiply(inverse(A),inverse(B)))
% Rule
% [512]
% multiply(inverse(multiply(multiply(B,inverse(B)),multiply(C,A))),multiply(
% multiply(D,
% inverse(D)),C))
% -> inverse(A) collapsed.
% Current number of equations to process: 3103
% Current number of ordered equations: 0
% Current number of rules: 87
% Rule [601]
% inverse(multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),C)))
% <-> inverse(multiply(inverse(V_4),multiply(V_4,C))) is composed into
% [601]
% inverse(multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),C)))
% -> inverse(C)
% New rule produced : [625] multiply(inverse(B),multiply(B,A)) -> A
% Rule [595] multiply(inverse(multiply(A,B)),multiply(multiply(A,B),D)) -> D
% collapsed.
% Rule [597] inverse(multiply(inverse(D),multiply(D,c3))) -> inverse(c3)
% collapsed.
% Rule [604] inverse(multiply(inverse(V_4),multiply(V_4,C))) -> inverse(C)
% collapsed.
% Current number of equations to process: 3102
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [626]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(C)))) ->
% multiply(A,C)
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [627]
% inverse(multiply(C,inverse(C))) <->
% multiply(A,multiply(multiply(B,inverse(B)),inverse(A)))
% Current number of equations to process: 3100
% Current number of ordered equations: 1
% Current number of rules: 87
% Rule [627]
% inverse(multiply(C,inverse(C))) <->
% multiply(A,multiply(multiply(B,inverse(B)),inverse(A))) is composed into
% [627] inverse(multiply(C,inverse(C))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [628]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(A))) <->
% inverse(multiply(C,inverse(C)))
% Current number of equations to process: 3100
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [629]
% multiply(A,multiply(inverse(multiply(multiply(B,inverse(B)),A)),C)) -> C
% Current number of equations to process: 3099
% Current number of ordered equations: 0
% Current number of rules: 89
% Rule [580]
% multiply(multiply(A,inverse(A)),inverse(B)) <->
% inverse(multiply(multiply(V_4,inverse(V_4)),B)) is composed into
% [580] multiply(multiply(A,inverse(A)),inverse(B)) -> inverse(B)
% Rule [575]
% multiply(multiply(D,inverse(D)),inverse(B)) <->
% inverse(multiply(multiply(A,inverse(A)),B)) is composed into [575]
% multiply(
% multiply(D,
% inverse(D)),
% inverse(B))
% ->
% inverse(B)
% Rule [561]
% multiply(multiply(c3,inverse(c3)),A) <->
% inverse(multiply(multiply(B,inverse(B)),inverse(A))) is composed into
% [561] multiply(multiply(c3,inverse(c3)),A) -> inverse(inverse(A))
% Rule [553]
% multiply(multiply(multiply(D,inverse(D)),B),multiply(multiply(V_4,
% inverse(V_4)),C))
% <-> inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))) is composed into
% [553]
% multiply(multiply(multiply(D,inverse(D)),B),multiply(multiply(V_4,inverse(V_4)),C))
% -> inverse(inverse(multiply(B,C)))
% Rule [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(c3,inverse(c3)),D))) is composed into
% [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <-> multiply(multiply(A,inverse(A)),inverse(D))
% Rule [77]
% multiply(multiply(A,inverse(A)),B) <->
% inverse(multiply(multiply(C,inverse(C)),inverse(B))) is composed into
% [77] multiply(multiply(A,inverse(A)),B) -> inverse(inverse(B))
% New rule produced :
% [630] inverse(multiply(multiply(A,inverse(A)),C)) -> inverse(C)
% Rule
% [78]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(multiply(V_4,
% inverse(V_4)),B)))))))
% -> D collapsed.
% Rule
% [253]
% inverse(multiply(multiply(D,inverse(D)),C)) <->
% inverse(multiply(multiply(c3,inverse(c3)),C)) collapsed.
% Rule
% [506]
% multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(multiply(c3,
% inverse(c3)),B)))
% <-> multiply(C,inverse(C)) collapsed.
% Rule
% [507]
% multiply(multiply(multiply(A,inverse(A)),B),multiply(inverse(multiply(
% multiply(c3,
% inverse(c3)),B)),C))
% -> C collapsed.
% Rule
% [511]
% inverse(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(B))),
% multiply(multiply(C,inverse(C)),D))) <->
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,D)))
% collapsed.
% Rule
% [552]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))) <->
% multiply(multiply(c3,inverse(c3)),multiply(B,C)) collapsed.
% Rule
% [560]
% inverse(multiply(multiply(B,inverse(B)),inverse(A))) <->
% multiply(multiply(c3,inverse(c3)),A) collapsed.
% Rule
% [579]
% inverse(multiply(multiply(V_4,inverse(V_4)),B)) <->
% multiply(multiply(A,inverse(A)),inverse(B)) collapsed.
% Rule
% [601]
% inverse(multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),C)))
% -> inverse(C) collapsed.
% Rule
% [626]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(C)))) ->
% multiply(A,C) collapsed.
% Rule
% [629]
% multiply(A,multiply(inverse(multiply(multiply(B,inverse(B)),A)),C)) -> C
% collapsed.
% Current number of equations to process: 3099
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [631]
% inverse(multiply(inverse(multiply(B,C)),multiply(B,D))) <->
% multiply(inverse(D),C)
% Current number of equations to process: 3091
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [632]
% multiply(inverse(D),C) <->
% inverse(multiply(inverse(multiply(B,C)),multiply(B,D)))
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 81
% Rule [537]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D))) <->
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(inverse(
% multiply(B,C)),D))) is composed into
% [537]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D))) ->
% inverse(multiply(inverse(multiply(B,C)),D))
% Rule [529]
% inverse(multiply(inverse(multiply(c3,inverse(A))),multiply(B,multiply(
% inverse(B),C))))
% <->
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(A,multiply(
% inverse(c3),C)))) is composed into
% [529]
% inverse(multiply(inverse(multiply(c3,inverse(A))),multiply(B,multiply(
% inverse(B),C))))
% -> inverse(multiply(A,multiply(inverse(c3),C)))
% Rule [410]
% multiply(A,inverse(B)) <->
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,multiply(
% multiply(D,
% inverse(D)),
% inverse(A))))) is composed into
% [410]
% multiply(A,inverse(B)) <->
% inverse(multiply(B,multiply(multiply(D,inverse(D)),inverse(A))))
% Rule [388]
% multiply(A,inverse(B)) <->
% multiply(multiply(C,inverse(C)),inverse(multiply(inverse(multiply(D,
% inverse(D))),
% multiply(B,inverse(A))))) is composed into
% [388]
% multiply(A,inverse(B)) <->
% multiply(multiply(C,inverse(C)),inverse(multiply(B,inverse(A))))
% New rule produced :
% [633]
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,D))) ->
% inverse(multiply(B,D))
% Rule
% [115]
% multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(inverse(multiply(D,
% inverse(D))),
% multiply(A,B))))) ->
% inverse(A) collapsed.
% Rule
% [288]
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,C))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) collapsed.
% Rule
% [292]
% multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,C)),inverse(
% multiply(
% inverse(
% multiply(D,
% inverse(D))),
% multiply(B,C))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [427]
% multiply(multiply(inverse(c3),A),multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(C))),
% multiply(D,
% multiply(
% inverse(D),A))))))
% -> inverse(c3) collapsed.
% Rule
% [521]
% inverse(multiply(inverse(multiply(C,inverse(C))),multiply(B,inverse(A)))) <->
% inverse(inverse(multiply(A,inverse(B)))) collapsed.
% Rule
% [526]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(B,multiply(
% inverse(A),C))))
% <-> inverse(multiply(inverse(multiply(A,inverse(B))),C)) collapsed.
% Rule
% [528]
% inverse(multiply(inverse(multiply(D,inverse(D))),multiply(A,multiply(
% inverse(c3),C))))
% <->
% inverse(multiply(inverse(multiply(c3,inverse(A))),multiply(B,multiply(
% inverse(B),C))))
% collapsed.
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 75
% Rule [628]
% multiply(A,multiply(multiply(B,inverse(B)),inverse(A))) <->
% inverse(multiply(C,inverse(C))) is composed into [628]
% multiply(A,multiply(
% multiply(B,
% inverse(B)),
% inverse(A)))
% <->
% multiply(C,inverse(C))
% Rule [608] multiply(A,inverse(A)) <-> inverse(multiply(C,inverse(C))) is composed into
% [608] multiply(A,inverse(A)) <-> multiply(C,inverse(C))
% New rule produced :
% [634] inverse(multiply(B,inverse(A))) <-> multiply(A,inverse(B))
% Rule
% [384]
% multiply(B,multiply(inverse(B),multiply(multiply(C,inverse(C)),multiply(
% inverse(
% multiply(D,
% inverse(D))),A))))
% -> A collapsed.
% Rule
% [566]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(multiply(B,multiply(
% inverse(
% multiply(C,
% inverse(C))),D))),B))
% -> inverse(D) collapsed.
% Rule [585] multiply(D,inverse(multiply(C,inverse(C)))) -> D collapsed.
% Rule [606] inverse(multiply(C,inverse(C))) <-> multiply(A,inverse(A))
% collapsed.
% Rule
% [627] inverse(multiply(C,inverse(C))) <-> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Rule
% [633]
% inverse(multiply(inverse(multiply(V_4,inverse(V_4))),multiply(B,D))) ->
% inverse(multiply(B,D)) collapsed.
% Current number of equations to process: 3094
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [635] multiply(A,inverse(B)) <-> inverse(multiply(B,inverse(A)))
% Rule
% [609]
% inverse(multiply(A,multiply(inverse(A),inverse(A)))) -> inverse(inverse(A))
% collapsed.
% Rule [614] inverse(multiply(A,multiply(inverse(A),inverse(A)))) -> A
% collapsed.
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [636]
% inverse(multiply(inverse(multiply(A,inverse(B))),C)) ->
% inverse(multiply(B,multiply(inverse(A),C)))
% Rule
% [529]
% inverse(multiply(inverse(multiply(c3,inverse(A))),multiply(B,multiply(
% inverse(B),C))))
% -> inverse(multiply(A,multiply(inverse(c3),C))) collapsed.
% Current number of equations to process: 3093
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [637] multiply(B,inverse(multiply(A,B))) -> inverse(A)
% Rule [621] inverse(multiply(A,inverse(multiply(D,A)))) -> D collapsed.
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [638]
% inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(D,B)))))
% -> D
% Current number of equations to process: 3088
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [639]
% multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(inverse(D),B))))
% -> D
% Current number of equations to process: 3086
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [640]
% multiply(C,multiply(D,inverse(multiply(multiply(A,B),multiply(C,D))))) ->
% inverse(multiply(A,B))
% Current number of equations to process: 3063
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [641] inverse(multiply(inverse(B),inverse(D))) <-> multiply(D,B)
% Current number of equations to process: 3056
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [642] multiply(D,B) <-> inverse(multiply(inverse(B),inverse(D)))
% Rule
% [11]
% multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(D,
% multiply(A,B)))))),D)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [175]
% multiply(D,multiply(inverse(multiply(V_4,multiply(C,multiply(multiply(V_5,
% inverse(V_5)),D)))),V_4))
% -> inverse(C) collapsed.
% Rule
% [236]
% multiply(multiply(multiply(A,inverse(A)),multiply(B,multiply(multiply(C,
% inverse(C)),
% inverse(multiply(D,
% multiply(
% multiply(V_4,
% inverse(V_4)),B)))))),D)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [278]
% inverse(multiply(A,multiply(B,multiply(inverse(multiply(C,multiply(multiply(D,
% inverse(D)),
% multiply(A,B)))),C))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [281]
% multiply(inverse(multiply(V_4,multiply(multiply(V_5,inverse(V_5)),D))),V_4)
% <-> multiply(multiply(A,inverse(A)),inverse(D)) collapsed.
% Rule
% [397]
% inverse(multiply(B,multiply(inverse(multiply(C,multiply(A,multiply(multiply(D,
% inverse(D)),B)))),C)))
% -> inverse(inverse(A)) collapsed.
% Rule
% [400]
% multiply(inverse(multiply(B,multiply(C,A))),multiply(B,C)) -> inverse(A)
% collapsed.
% Rule
% [452]
% multiply(multiply(c3,multiply(multiply(inverse(c3),A),multiply(multiply(B,
% inverse(B)),
% inverse(multiply(C,
% multiply(D,
% multiply(
% inverse(D),A))))))),C)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [523]
% multiply(inverse(multiply(C,inverse(B))),C) <->
% multiply(multiply(A,inverse(A)),B) collapsed.
% Rule
% [563]
% inverse(multiply(A,multiply(multiply(c3,inverse(c3)),multiply(inverse(
% multiply(C,
% multiply(D,A))),C))))
% -> D collapsed.
% Rule [622] inverse(multiply(inverse(multiply(C,D)),C)) -> D collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% inverse(multiply(inverse(c3),inverse(multiply(a3,b3)))) = multiply(a3,
% multiply(b3,c3))
%
% Current number of equations to process: 3058
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [643]
% inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(C,A)))) ->
% inverse(A)
% Current number of equations to process: 3057
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [644]
% multiply(V_5,inverse(multiply(C,multiply(D,V_5)))) -> inverse(multiply(C,D))
% Rule
% [640]
% multiply(C,multiply(D,inverse(multiply(multiply(A,B),multiply(C,D))))) ->
% inverse(multiply(A,B)) collapsed.
% Current number of equations to process: 3044
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [645]
% multiply(inverse(multiply(A,inverse(B))),inverse(multiply(B,inverse(A)))) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 3007
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [646]
% inverse(multiply(inverse(multiply(c3,A)),B)) <->
% multiply(inverse(multiply(inverse(c3),B)),A)
% Current number of equations to process: 3000
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [647]
% multiply(inverse(multiply(inverse(c3),B)),A) <->
% inverse(multiply(inverse(multiply(c3,A)),B))
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [648]
% multiply(inverse(multiply(c3,A)),multiply(c3,multiply(c3,multiply(multiply(
% inverse(c3),A),B))))
% -> B
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [649] inverse(multiply(B,A)) <-> multiply(inverse(A),inverse(B))
% Current number of equations to process: 2998
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [650] multiply(inverse(A),inverse(B)) <-> inverse(multiply(B,A))
% Current number of equations to process: 2998
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [651]
% multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,C)),multiply(
% inverse(
% multiply(B,C)),V_4))
% -> V_4
% Current number of equations to process: 2995
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [652] multiply(multiply(A,inverse(B)),multiply(B,C)) -> multiply(A,C)
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [653]
% multiply(inverse(multiply(A,inverse(B))),C) ->
% multiply(B,multiply(inverse(A),C))
% Rule
% [525]
% multiply(inverse(multiply(D,inverse(B))),multiply(D,C)) <->
% multiply(multiply(A,inverse(A)),multiply(B,C)) collapsed.
% Rule
% [636]
% inverse(multiply(inverse(multiply(A,inverse(B))),C)) ->
% inverse(multiply(B,multiply(inverse(A),C))) collapsed.
% Rule
% [645]
% multiply(inverse(multiply(A,inverse(B))),inverse(multiply(B,inverse(A)))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [651]
% multiply(multiply(inverse(multiply(A,inverse(B))),multiply(A,C)),multiply(
% inverse(
% multiply(B,C)),V_4))
% -> V_4 collapsed.
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 69
% Rule [632]
% multiply(inverse(D),C) <->
% inverse(multiply(inverse(multiply(B,C)),multiply(B,D))) is composed into
% [632] multiply(inverse(D),C) <-> inverse(multiply(inverse(C),D))
% Rule [371]
% multiply(inverse(D),C) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,D)))) is composed into
% [371]
% multiply(inverse(D),C) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(C),D)))
% New rule produced :
% [654]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,C))) ->
% inverse(multiply(inverse(B),C))
% Rule
% [537]
% inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,D))) ->
% inverse(multiply(inverse(multiply(B,C)),D)) collapsed.
% Rule
% [631]
% inverse(multiply(inverse(multiply(B,C)),multiply(B,D))) <->
% multiply(inverse(D),C) collapsed.
% Rule
% [643]
% inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(C,A)))) ->
% inverse(A) collapsed.
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [655]
% multiply(multiply(inverse(A),inverse(B)),multiply(multiply(B,A),multiply(c3,C)))
% -> multiply(c3,C)
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [656]
% inverse(multiply(multiply(inverse(C),inverse(B)),inverse(A))) <->
% multiply(A,multiply(B,C))
% Current number of equations to process: 2990
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [657]
% multiply(A,multiply(B,C)) <->
% inverse(multiply(multiply(inverse(C),inverse(B)),inverse(A)))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [658]
% inverse(multiply(inverse(C),multiply(inverse(B),inverse(A)))) <->
% multiply(multiply(A,B),C)
% Current number of equations to process: 2990
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [659]
% multiply(multiply(A,B),C) <->
% inverse(multiply(inverse(C),multiply(inverse(B),inverse(A))))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [660]
% multiply(multiply(inverse(A),inverse(B)),multiply(multiply(B,A),C)) -> C
% Rule
% [655]
% multiply(multiply(inverse(A),inverse(B)),multiply(multiply(B,A),multiply(c3,C)))
% -> multiply(c3,C) collapsed.
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [661]
% multiply(multiply(A,B),multiply(inverse(B),inverse(A))) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [662]
% inverse(multiply(inverse(A),multiply(B,C))) <->
% multiply(multiply(inverse(C),inverse(B)),A)
% Current number of equations to process: 2990
% Current number of ordered equations: 3
% Current number of rules: 74
% New rule produced :
% [663]
% inverse(multiply(multiply(A,B),inverse(C))) <->
% multiply(C,multiply(inverse(B),inverse(A)))
% Current number of equations to process: 2990
% Current number of ordered equations: 2
% Current number of rules: 75
% New rule produced :
% [664]
% multiply(C,multiply(inverse(B),inverse(A))) <->
% inverse(multiply(multiply(A,B),inverse(C)))
% Current number of equations to process: 2990
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [665]
% multiply(multiply(inverse(C),inverse(B)),A) <->
% inverse(multiply(inverse(A),multiply(B,C)))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [666]
% multiply(multiply(A,B),multiply(multiply(inverse(B),inverse(A)),C)) -> C
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [667]
% inverse(multiply(A,multiply(B,inverse(C)))) <->
% multiply(multiply(C,inverse(B)),inverse(A))
% Current number of equations to process: 2990
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [668]
% multiply(multiply(C,inverse(B)),inverse(A)) <->
% inverse(multiply(A,multiply(B,inverse(C))))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [669]
% multiply(multiply(A,inverse(B)),multiply(multiply(B,inverse(A)),multiply(c3,C)))
% -> multiply(c3,C)
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [670]
% inverse(multiply(multiply(C,inverse(B)),inverse(A))) <->
% multiply(A,multiply(B,inverse(C)))
% Current number of equations to process: 2990
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [671]
% multiply(A,multiply(B,inverse(C))) <->
% inverse(multiply(multiply(C,inverse(B)),inverse(A)))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [672]
% inverse(multiply(inverse(C),multiply(B,inverse(A)))) <->
% multiply(multiply(A,inverse(B)),C)
% Current number of equations to process: 2990
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [673]
% multiply(multiply(A,inverse(B)),C) <->
% inverse(multiply(inverse(C),multiply(B,inverse(A))))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [674]
% multiply(multiply(A,inverse(B)),multiply(multiply(B,inverse(A)),C)) -> C
% Rule
% [669]
% multiply(multiply(A,inverse(B)),multiply(multiply(B,inverse(A)),multiply(c3,C)))
% -> multiply(c3,C) collapsed.
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [675]
% inverse(multiply(A,multiply(B,C))) <->
% multiply(multiply(inverse(C),inverse(B)),inverse(A))
% Current number of equations to process: 2990
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [676]
% multiply(multiply(inverse(C),inverse(B)),inverse(A)) <->
% inverse(multiply(A,multiply(B,C)))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [677]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(A,C)))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [678]
% multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,B)))),
% multiply(C,multiply(c3,D))) -> multiply(c3,D)
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [679]
% inverse(multiply(A,inverse(multiply(multiply(B,C),inverse(multiply(inverse(A),C))))))
% -> B
% Current number of equations to process: 2991
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [680]
% inverse(multiply(A,multiply(inverse(multiply(B,A)),inverse(multiply(C,
% inverse(B)))))) ->
% C
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [681]
% inverse(multiply(multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(B,D)))),
% inverse(A))) <-> multiply(A,B)
% Current number of equations to process: 2990
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [682]
% multiply(A,B) <->
% inverse(multiply(multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(B,D)))),
% inverse(A)))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [683]
% inverse(multiply(A,multiply(multiply(inverse(A),B),multiply(inverse(B),C))))
% -> inverse(C)
% Current number of equations to process: 2992
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [684]
% inverse(multiply(A,multiply(inverse(multiply(inverse(B),A)),inverse(multiply(C,B)))))
% -> C
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [685]
% inverse(multiply(inverse(B),multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(A,D)))))) <->
% multiply(A,B)
% Current number of equations to process: 2990
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [686]
% multiply(A,B) <->
% inverse(multiply(inverse(B),multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(A,D))))))
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [687]
% multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,B)))),
% multiply(C,D)) -> D
% Rule
% [678]
% multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,B)))),
% multiply(C,multiply(c3,D))) -> multiply(c3,D) collapsed.
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 97
% Rule [686]
% multiply(A,B) <->
% inverse(multiply(inverse(B),multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(A,D)))))) is composed into
% [686] multiply(A,B) <-> inverse(multiply(inverse(B),inverse(A)))
% Rule [682]
% multiply(A,B) <->
% inverse(multiply(multiply(C,multiply(multiply(inverse(C),D),inverse(
% multiply(B,D)))),
% inverse(A))) is composed into [682]
% multiply(A,B) <->
% inverse(multiply(inverse(B),
% inverse(A)))
% New rule produced :
% [688]
% multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(A,C)))) ->
% inverse(A)
% Rule
% [638]
% inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(D,B)))))
% -> D collapsed.
% Rule
% [639]
% multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(inverse(D),B))))
% -> D collapsed.
% Rule
% [677]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(A,C)))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [681]
% inverse(multiply(multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(B,D)))),
% inverse(A))) <-> multiply(A,B) collapsed.
% Rule
% [685]
% inverse(multiply(inverse(B),multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(A,D)))))) <->
% multiply(A,B) collapsed.
% Rule
% [687]
% multiply(multiply(A,multiply(multiply(inverse(A),B),inverse(multiply(C,B)))),
% multiply(C,D)) -> D collapsed.
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [689]
% inverse(multiply(inverse(A),multiply(multiply(A,B),inverse(multiply(C,B)))))
% -> C
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [690]
% inverse(multiply(B,multiply(C,A))) <->
% multiply(inverse(A),inverse(multiply(B,C)))
% Current number of equations to process: 2991
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [691]
% multiply(inverse(A),inverse(multiply(B,C))) <->
% inverse(multiply(B,multiply(C,A)))
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 95
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 29 rules have been used:
% [1]
% inverse(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(D,
% multiply(A,B)))))))
% -> D; trace = in the starting set
% [2] inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(
% multiply(C,
% multiply(D,A)))),
% multiply(multiply(V_4,inverse(V_4)),C)))) -> D; trace = Self cp of 1
% [3] inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(multiply(
% multiply(C,
% inverse(C)),D),
% multiply(multiply(V_4,
% inverse(V_4)),V_5))))
% <->
% multiply(multiply(V_6,inverse(V_6)),inverse(multiply(B,multiply(D,V_5)))); trace = Self cp of 2
% [6] multiply(multiply(B,inverse(B)),A) <->
% multiply(multiply(c3,inverse(c3)),A); trace = Cp of 3 and 1
% [8] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3)); trace = Cp of 6 and 1
% [10] inverse(multiply(A,multiply(inverse(A),multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))))))
% -> C; trace = Cp of 8 and 1
% [11] multiply(multiply(A,multiply(B,multiply(multiply(C,inverse(C)),inverse(
% multiply(D,
% multiply(A,B)))))),D)
% -> multiply(c3,inverse(c3)); trace = Cp of 8 and 1
% [12] multiply(multiply(B,inverse(B)),inverse(multiply(C,multiply(inverse(
% multiply(D,
% multiply(A,
% multiply(
% multiply(V_4,
% inverse(V_4)),C)))),D))))
% -> A; trace = Cp of 3 and 2
% [20] multiply(C,multiply(D,multiply(multiply(V_4,inverse(V_4)),inverse(
% multiply(
% multiply(A,B),
% multiply(C,D))))))
% -> inverse(multiply(A,multiply(B,multiply(c3,inverse(c3))))); trace = Cp of 11 and 1
% [23] inverse(multiply(inverse(A),multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,multiply(c3,
% inverse(c3))))),
% multiply(multiply(D,inverse(D)),C)))) -> A; trace = Cp of 8 and 2
% [24] inverse(multiply(A,multiply(multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(C))),
% multiply(D,A)))),
% multiply(c3,inverse(c3))))) -> D; trace = Cp of 8 and 2
% [25] multiply(multiply(C,inverse(C)),B) <->
% multiply(multiply(A,inverse(A)),B); trace = Cp of 12 and 3
% [26] inverse(multiply(inverse(multiply(A,multiply(B,multiply(multiply(C,
% inverse(C)),D)))),
% multiply(A,B))) -> D; trace = Cp of 12 and 1
% [27] multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% multiply(C,D))),
% multiply(B,C)))) -> D; trace = Cp of 12 and 1
% [28] multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% multiply(c3,
% inverse(c3)))),
% multiply(B,C)))) -> inverse(C); trace = Cp of 12 and 10
% [39] inverse(inverse(multiply(A,multiply(B,multiply(c3,inverse(c3)))))) ->
% multiply(A,B); trace = Cp of 20 and 1
% [59] multiply(A,inverse(A)) <-> multiply(B,inverse(B)); trace = Cp of 25 and 2
% [65] inverse(multiply(inverse(A),multiply(B,multiply(multiply(C,inverse(C)),
% inverse(multiply(c3,multiply(
% inverse(c3),B)))))))
% -> A; trace = Cp of 27 and 23
% [74] inverse(multiply(inverse(multiply(D,multiply(c3,inverse(c3)))),multiply(D,C)))
% <->
% inverse(multiply(inverse(multiply(A,multiply(B,inverse(C)))),multiply(A,B))); trace = Cp of 28 and 26
% [80] inverse(multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,V_5)))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,multiply(D,inverse(D)))))); trace = Self cp of 27
% [115] multiply(B,multiply(multiply(C,inverse(C)),inverse(multiply(inverse(
% multiply(D,
% inverse(D))),
% multiply(A,B))))) ->
% inverse(A); trace = Cp of 39 and 24
% [142] multiply(multiply(A,inverse(A)),inverse(multiply(inverse(multiply(B,
% multiply(C,
% inverse(C)))),
% multiply(B,D)))) -> inverse(D); trace = Cp of 59 and 28
% [157] inverse(multiply(inverse(A),multiply(inverse(inverse(c3)),multiply(
% multiply(B,
% inverse(B)),
% inverse(
% multiply(c3,
% multiply(C,
% inverse(C))))))))
% -> A; trace = Cp of 65 and 59
% [182] inverse(multiply(inverse(multiply(A,multiply(B,inverse(B)))),multiply(A,C)))
% ->
% inverse(multiply(c3,multiply(inverse(c3),inverse(inverse(inverse(
% multiply(c3,
% multiply(
% inverse(c3),
% inverse(C))))))))); trace = Cp of 74 and 59
% [204] multiply(multiply(A,inverse(A)),multiply(multiply(B,inverse(B)),
% inverse(multiply(inverse(multiply(C,D)),
% multiply(C,multiply(V_4,
% inverse(V_4)))))))
% -> D; trace = Cp of 80 and 27
% [625] multiply(inverse(B),multiply(B,A)) -> A; trace = Cp of 182 and 157
% [642] multiply(D,B) <-> inverse(multiply(inverse(B),inverse(D))); trace = Cp of 142 and 115
% [644] multiply(V_5,inverse(multiply(C,multiply(D,V_5)))) ->
% inverse(multiply(C,D)); trace = Cp of 204 and 1
% [691] multiply(inverse(A),inverse(multiply(B,C))) <->
% inverse(multiply(B,multiply(C,A))); trace = Cp of 644 and 625
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 25.960000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------