TSTP Solution File: GRP427-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP427-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n114.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 00:23:03 EDT 2014
% Result : Unsatisfiable 71.68s
% Output : Refutation 71.68s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP427-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n114.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 13:10:13 CDT 2014
% % CPUTime : 71.68
% Processing problem /tmp/CiME_26603_n114.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b1,a1 : constant; multiply : 2; inverse : 1;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C;
% ";
%
% let s1 = status F "
% b1 lr_lex;
% a1 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > a1 > b1";
%
% let s2 = status F "
% b1 mul;
% a1 mul;
% multiply mul;
% inverse mul;
% ";
%
% let p2 = precedence F "
% multiply > inverse > a1 = b1";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(inverse(a1),a1) = multiply(inverse(b1),b1);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { multiply(A,inverse(multiply(multiply(inverse(
% multiply(
% inverse(B),
% multiply(
% inverse(A),C))),D),
% inverse(multiply(B,D))))) = C }
% (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(inverse(a1),a1) =
% multiply(inverse(b1),b1) } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced :
% [1]
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(
% inverse(A),C))),D),
% inverse(multiply(B,D))))) -> C
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% inverse(multiply(multiply(inverse(multiply(inverse(V_4),multiply(inverse(
% inverse(A)),C))),V_5),
% inverse(multiply(V_4,V_5)))) <->
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),
% inverse(multiply(B,D)))))
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),
% inverse(multiply(B,D))))) <->
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(b1),C)),b1),
% inverse(multiply(b1,b1)))))
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(b1),C)),b1),
% inverse(multiply(b1,b1))))) <->
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),
% inverse(multiply(B,D)))))
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(
% inverse(B),C)),D),
% inverse(multiply(B,D)))))) -> C
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% inverse(multiply(multiply(inverse(multiply(inverse(B),A)),C),inverse(
% multiply(B,C))))
% <->
% inverse(multiply(multiply(inverse(multiply(inverse(b1),A)),b1),inverse(
% multiply(b1,b1))))
% Rule
% [3]
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),
% inverse(multiply(B,D))))) <->
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(b1),C)),b1),
% inverse(multiply(b1,b1))))) collapsed.
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [7]
% inverse(multiply(multiply(inverse(multiply(inverse(D),B)),V_4),inverse(
% multiply(D,V_4))))
% <->
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(A),C)))))
% Rule
% [1]
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(
% inverse(A),C))),D),
% inverse(multiply(B,D))))) -> C collapsed.
% Rule
% [2]
% inverse(multiply(multiply(inverse(multiply(inverse(V_4),multiply(inverse(
% inverse(A)),C))),V_5),
% inverse(multiply(V_4,V_5)))) <->
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),
% inverse(multiply(B,D))))) collapsed.
% Rule
% [4]
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(b1),C)),b1),
% inverse(multiply(b1,b1))))) <->
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),
% inverse(multiply(B,D))))) collapsed.
% Rule
% [5]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(
% inverse(B),C)),D),
% inverse(multiply(B,D)))))) -> C
% collapsed.
% Rule
% [6]
% inverse(multiply(multiply(inverse(multiply(inverse(B),A)),C),inverse(
% multiply(B,C))))
% <->
% inverse(multiply(multiply(inverse(multiply(inverse(b1),A)),b1),inverse(
% multiply(b1,b1))))
% collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [8]
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(A),C)),C),
% inverse(multiply(inverse(A),C)))))) -> C
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [9]
% multiply(inverse(A),multiply(A,multiply(b1,inverse(multiply(multiply(
% inverse(C),b1),
% inverse(multiply(inverse(b1),b1)))))))
% -> C
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [10]
% multiply(A,inverse(multiply(multiply(inverse(A),C),inverse(multiply(inverse(A),C)))))
% <->
% multiply(b1,inverse(multiply(multiply(inverse(A),b1),inverse(multiply(
% inverse(b1),b1)))))
% Current number of equations to process: 29
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [11]
% multiply(b1,inverse(multiply(multiply(inverse(A),b1),inverse(multiply(
% inverse(b1),b1)))))
% <->
% multiply(A,inverse(multiply(multiply(inverse(A),C),inverse(multiply(inverse(A),C)))))
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [12]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(b1,inverse(multiply(multiply(inverse(A),b1),inverse(multiply(
% inverse(b1),b1)))))
% Rule
% [10]
% multiply(A,inverse(multiply(multiply(inverse(A),C),inverse(multiply(inverse(A),C)))))
% <->
% multiply(b1,inverse(multiply(multiply(inverse(A),b1),inverse(multiply(
% inverse(b1),b1)))))
% collapsed.
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [13]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(inverse(B),C),
% inverse(multiply(inverse(B),C)))))))
% -> B
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [14]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,inverse(C))))))
% -> B
% Rule
% [13]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(inverse(B),C),
% inverse(multiply(inverse(B),C)))))))
% -> B collapsed.
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [15]
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(C),C),inverse(
% multiply(
% inverse(A),C))))))
% <->
% multiply(A,multiply(b1,inverse(multiply(multiply(inverse(C),b1),inverse(
% multiply(
% inverse(b1),b1))))))
% Current number of equations to process: 73
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [16]
% multiply(A,multiply(b1,inverse(multiply(multiply(inverse(C),b1),inverse(
% multiply(
% inverse(b1),b1))))))
% <->
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(C),C),inverse(
% multiply(
% inverse(A),C))))))
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [17]
% multiply(inverse(A),multiply(A,multiply(A,inverse(multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(A),B)))))))
% -> B
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [18]
% multiply(inverse(A),multiply(A,multiply(b1,multiply(B,inverse(multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(B),D))))))))
% -> multiply(inverse(inverse(b1)),C)
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [19]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(inverse(b1)),multiply(inverse(b1),B))
% Current number of equations to process: 129
% Current number of ordered equations: 1
% Current number of rules: 11
% Rule [19]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(inverse(b1)),multiply(inverse(b1),B)) is composed into
% [19]
% multiply(inverse(A),multiply(A,B)) <-> multiply(inverse(b1),multiply(b1,B))
% New rule produced :
% [20]
% multiply(inverse(inverse(b1)),multiply(inverse(b1),B)) <->
% multiply(inverse(A),multiply(A,B))
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [21]
% multiply(inverse(inverse(A)),multiply(inverse(b1),multiply(b1,B))) ->
% multiply(inverse(b1),multiply(b1,multiply(A,B)))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [22]
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(A)),B)
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [23]
% multiply(inverse(inverse(A)),B) <->
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [24]
% multiply(inverse(B),multiply(B,multiply(b1,multiply(A,inverse(multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(b1)),A)
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [25]
% multiply(inverse(inverse(b1)),A) <->
% multiply(inverse(B),multiply(B,multiply(b1,multiply(A,inverse(multiply(C,
% inverse(C)))))))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [26]
% multiply(inverse(b1),multiply(b1,multiply(B,inverse(multiply(multiply(
% inverse(A),A),
% inverse(multiply(
% inverse(B),A)))))))
% -> A
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [27]
% multiply(inverse(B),multiply(B,multiply(inverse(b1),inverse(multiply(
% multiply(
% inverse(A),A),
% inverse(multiply(
% inverse(
% inverse(b1)),A)))))))
% -> A
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [28]
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(A,multiply(B,inverse(
% multiply(C,
% inverse(C))))))))
% <-> multiply(inverse(inverse(b1)),multiply(inverse(inverse(A)),B))
% Current number of equations to process: 267
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [29]
% multiply(inverse(inverse(b1)),multiply(inverse(inverse(A)),B)) <->
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(A,multiply(B,inverse(
% multiply(C,
% inverse(C))))))))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [30]
% multiply(inverse(C),multiply(C,multiply(b1,multiply(A,multiply(B,inverse(
% multiply(D,
% inverse(D))))))))
% <-> multiply(inverse(inverse(b1)),multiply(inverse(inverse(A)),B))
% Rule
% [28]
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(A,multiply(B,inverse(
% multiply(C,
% inverse(C))))))))
% <-> multiply(inverse(inverse(b1)),multiply(inverse(inverse(A)),B)) collapsed.
% Current number of equations to process: 266
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [31]
% multiply(inverse(inverse(b1)),multiply(inverse(inverse(A)),B)) <->
% multiply(inverse(C),multiply(C,multiply(b1,multiply(A,multiply(B,inverse(
% multiply(D,
% inverse(D))))))))
% Rule
% [29]
% multiply(inverse(inverse(b1)),multiply(inverse(inverse(A)),B)) <->
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(A,multiply(B,inverse(
% multiply(C,
% inverse(C))))))))
% collapsed.
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [32]
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(B,multiply(C,inverse(
% multiply(D,
% inverse(D))))))))
% <-> multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),C))
% Current number of equations to process: 265
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [33]
% multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),C)) <->
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(B,multiply(C,inverse(
% multiply(D,
% inverse(D))))))))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [34]
% multiply(inverse(A),multiply(b1,inverse(multiply(multiply(inverse(A),b1),
% inverse(multiply(inverse(b1),b1))))))
% <-> multiply(inverse(b1),multiply(b1,inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [35]
% multiply(inverse(b1),multiply(b1,inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(b1,inverse(b1)))))
% Current number of equations to process: 261
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [36]
% multiply(inverse(b1),multiply(b1,inverse(multiply(b1,inverse(b1))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [37]
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(A,inverse(multiply(B,
% inverse(B)))))))
% <->
% multiply(inverse(C),multiply(C,multiply(b1,multiply(A,inverse(multiply(D,
% inverse(D)))))))
% Current number of equations to process: 260
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [38]
% multiply(inverse(C),multiply(C,multiply(b1,multiply(A,inverse(multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(A,inverse(multiply(B,
% inverse(B)))))))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [39]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(inverse(A),B))))))
% <-> multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [40]
% multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C)))))
% Rule
% [35]
% multiply(inverse(b1),multiply(b1,inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(b1,inverse(b1)))))
% collapsed.
% Rule
% [36]
% multiply(inverse(b1),multiply(b1,inverse(multiply(b1,inverse(b1))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(B,inverse(B))))) collapsed.
% Rule
% [39]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(inverse(A),B))))))
% <-> multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C)))))
% collapsed.
% Current number of equations to process: 431
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [41]
% multiply(inverse(inverse(inverse(b1))),multiply(inverse(A),multiply(A,
% multiply(b1,
% multiply(B,
% inverse(multiply(C,
% inverse(C))))))))
% -> multiply(inverse(b1),multiply(b1,B))
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [42]
% multiply(A,multiply(B,inverse(multiply(multiply(inverse(B),C),inverse(
% multiply(
% inverse(B),C))))))
% <->
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(A),B))))))
% Current number of equations to process: 456
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [43]
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(A),B))))))
% <->
% multiply(A,multiply(B,inverse(multiply(multiply(inverse(B),C),inverse(
% multiply(
% inverse(B),C))))))
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [44]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(A),B))))))
% Rule
% [42]
% multiply(A,multiply(B,inverse(multiply(multiply(inverse(B),C),inverse(
% multiply(
% inverse(B),C))))))
% <->
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(A),B))))))
% collapsed.
% Current number of equations to process: 463
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [45]
% multiply(inverse(A),multiply(A,multiply(A,multiply(B,inverse(multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(B),D))))))))
% <-> multiply(inverse(inverse(A)),C)
% Current number of equations to process: 538
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [46]
% multiply(inverse(inverse(A)),C) <->
% multiply(inverse(A),multiply(A,multiply(A,multiply(B,inverse(multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(B),D))))))))
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [47]
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(b1,inverse(multiply(
% multiply(
% inverse(B),b1),
% inverse(
% multiply(
% inverse(b1),b1))))))))
% <-> multiply(inverse(inverse(A)),B)
% Current number of equations to process: 664
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [48]
% multiply(inverse(inverse(A)),B) <->
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(b1,inverse(multiply(
% multiply(
% inverse(B),b1),
% inverse(
% multiply(
% inverse(b1),b1))))))))
% Current number of equations to process: 664
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [49]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),B),
% inverse(multiply(C,B)))) <->
% multiply(D,inverse(multiply(multiply(inverse(multiply(C,A)),V_4),inverse(
% multiply(
% inverse(D),V_4)))))
% Current number of equations to process: 738
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [50]
% multiply(D,inverse(multiply(multiply(inverse(multiply(C,A)),V_4),inverse(
% multiply(
% inverse(D),V_4)))))
% <->
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),B),
% inverse(multiply(C,B))))
% Current number of equations to process: 738
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [51]
% multiply(b1,multiply(b1,multiply(A,inverse(multiply(multiply(inverse(
% multiply(
% inverse(b1),B)),C),
% inverse(multiply(inverse(A),C)))))))
% -> multiply(b1,B)
% Current number of equations to process: 783
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [52]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(
% inverse(b1),
% multiply(b1,B))),C),
% inverse(multiply(D,C)))))) <->
% multiply(D,B)
% Current number of equations to process: 883
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [53]
% multiply(D,B) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(
% inverse(b1),
% multiply(b1,B))),C),
% inverse(multiply(D,C))))))
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [54]
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,B))),C),
% inverse(multiply(inverse(A),C))))) -> B
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [55]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,multiply(B,A)))),C),
% inverse(multiply(inverse(B),C)))) -> A
% Current number of equations to process: 921
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [56]
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(A),C)))))
% <->
% multiply(b1,inverse(multiply(multiply(inverse(B),b1),inverse(multiply(
% inverse(b1),b1)))))
% Rule
% [15]
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(C),C),inverse(
% multiply(
% inverse(A),C))))))
% <->
% multiply(A,multiply(b1,inverse(multiply(multiply(inverse(C),b1),inverse(
% multiply(
% inverse(b1),b1))))))
% collapsed.
% Current number of equations to process: 932
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [57]
% multiply(b1,inverse(multiply(multiply(inverse(B),b1),inverse(multiply(
% inverse(b1),b1)))))
% <->
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(A),C)))))
% Rule
% [11]
% multiply(b1,inverse(multiply(multiply(inverse(A),b1),inverse(multiply(
% inverse(b1),b1)))))
% <->
% multiply(A,inverse(multiply(multiply(inverse(A),C),inverse(multiply(inverse(A),C)))))
% collapsed.
% Rule
% [16]
% multiply(A,multiply(b1,inverse(multiply(multiply(inverse(C),b1),inverse(
% multiply(
% inverse(b1),b1))))))
% <->
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(C),C),inverse(
% multiply(
% inverse(A),C))))))
% collapsed.
% Current number of equations to process: 932
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [58]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,B))),D),
% inverse(multiply(inverse(inverse(A)),D)))) <->
% multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 942
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,B))),D),
% inverse(multiply(inverse(inverse(A)),D))))
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [60]
% multiply(b1,multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(b1,multiply(A,inverse(multiply(b1,inverse(b1)))))
% Current number of equations to process: 941
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [61]
% multiply(b1,multiply(A,inverse(multiply(b1,inverse(b1))))) <->
% multiply(b1,multiply(A,inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 44
% Rule [43]
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(A),B))))))
% <->
% multiply(A,multiply(B,inverse(multiply(multiply(inverse(B),C),inverse(
% multiply(
% inverse(B),C)))))) is composed into
% [43]
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(A),B))))))
% -> multiply(A,multiply(B,inverse(multiply(b1,inverse(b1)))))
% New rule produced :
% [62]
% inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(B),C)))) <->
% inverse(multiply(A,inverse(A)))
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [63] inverse(multiply(b1,inverse(b1))) <-> inverse(multiply(A,inverse(A)))
% Rule
% [61]
% multiply(b1,multiply(A,inverse(multiply(b1,inverse(b1))))) <->
% multiply(b1,multiply(A,inverse(multiply(B,inverse(B))))) collapsed.
% Current number of equations to process: 945
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [64] inverse(multiply(A,inverse(A))) <-> inverse(multiply(b1,inverse(b1)))
% Rule
% [60]
% multiply(b1,multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(b1,multiply(A,inverse(multiply(b1,inverse(b1))))) collapsed.
% Rule
% [62]
% inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(B),C)))) <->
% inverse(multiply(A,inverse(A))) collapsed.
% Current number of equations to process: 945
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [65]
% multiply(A,multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(A),C)),D),
% inverse(multiply(inverse(B),D)))))) -> C
% Rule
% [8]
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(A),C)),C),
% inverse(multiply(inverse(A),C)))))) -> C
% collapsed.
% Rule
% [51]
% multiply(b1,multiply(b1,multiply(A,inverse(multiply(multiply(inverse(
% multiply(
% inverse(b1),B)),C),
% inverse(multiply(inverse(A),C)))))))
% -> multiply(b1,B) collapsed.
% Current number of equations to process: 969
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [66]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),C),
% inverse(multiply(D,C)))))) <->
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4)))))
% Current number of equations to process: 988
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [67]
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),C),
% inverse(multiply(D,C))))))
% Current number of equations to process: 988
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [68]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(inverse(
% multiply(b1,C)),D),
% inverse(multiply(inverse(B),D)))))))
% -> multiply(b1,C)
% Current number of equations to process: 987
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [69]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(inverse(
% multiply(C,D)),V_4),
% inverse(multiply(inverse(B),V_4)))))))
% -> multiply(C,D)
% Rule
% [68]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(inverse(
% multiply(b1,C)),D),
% inverse(multiply(inverse(B),D)))))))
% -> multiply(b1,C) collapsed.
% Current number of equations to process: 1038
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [70]
% multiply(inverse(A),multiply(inverse(B),multiply(B,inverse(multiply(multiply(
% inverse(C),D),
% inverse(multiply(A,D)))))))
% -> C
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [71]
% multiply(inverse(A),multiply(A,B)) <-> multiply(inverse(C),multiply(C,B))
% Rule
% [19]
% multiply(inverse(A),multiply(A,B)) <-> multiply(inverse(b1),multiply(b1,B))
% collapsed.
% Rule
% [20]
% multiply(inverse(inverse(b1)),multiply(inverse(b1),B)) <->
% multiply(inverse(A),multiply(A,B)) collapsed.
% Current number of equations to process: 1063
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [72]
% multiply(inverse(inverse(A)),multiply(inverse(B),multiply(B,C))) ->
% multiply(inverse(b1),multiply(b1,multiply(A,C)))
% Rule
% [21]
% multiply(inverse(inverse(A)),multiply(inverse(b1),multiply(b1,B))) ->
% multiply(inverse(b1),multiply(b1,multiply(A,B))) collapsed.
% Rule
% [41]
% multiply(inverse(inverse(inverse(b1))),multiply(inverse(A),multiply(A,
% multiply(b1,
% multiply(B,
% inverse(multiply(C,
% inverse(C))))))))
% -> multiply(inverse(b1),multiply(b1,B)) collapsed.
% Current number of equations to process: 1064
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [73]
% multiply(inverse(C),multiply(C,multiply(A,multiply(B,inverse(multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(A)),B)
% Rule
% [22]
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(A)),B) collapsed.
% Rule
% [24]
% multiply(inverse(B),multiply(B,multiply(b1,multiply(A,inverse(multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(b1)),A) collapsed.
% Current number of equations to process: 1066
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [74]
% multiply(inverse(D),multiply(D,multiply(A,multiply(B,multiply(C,inverse(
% multiply(V_4,
% inverse(V_4))))))))
% <-> multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),C))
% Rule
% [30]
% multiply(inverse(C),multiply(C,multiply(b1,multiply(A,multiply(B,inverse(
% multiply(D,
% inverse(D))))))))
% <-> multiply(inverse(inverse(b1)),multiply(inverse(inverse(A)),B)) collapsed.
% Rule
% [32]
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(B,multiply(C,inverse(
% multiply(D,
% inverse(D))))))))
% <-> multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),C)) collapsed.
% Current number of equations to process: 1076
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [75]
% multiply(inverse(A),multiply(A,multiply(b1,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <->
% multiply(inverse(D),multiply(D,multiply(b1,multiply(B,inverse(multiply(b1,
% inverse(b1)))))))
% Current number of equations to process: 1076
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [76]
% multiply(inverse(D),multiply(D,multiply(b1,multiply(B,inverse(multiply(b1,
% inverse(b1)))))))
% <->
% multiply(inverse(A),multiply(A,multiply(b1,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% Current number of equations to process: 1076
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [77]
% multiply(inverse(A),multiply(A,multiply(b1,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <->
% multiply(inverse(D),multiply(D,multiply(b1,multiply(B,inverse(multiply(V_4,
% inverse(V_4)))))))
% Rule
% [37]
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(A,inverse(multiply(B,
% inverse(B)))))))
% <->
% multiply(inverse(C),multiply(C,multiply(b1,multiply(A,inverse(multiply(D,
% inverse(D)))))))
% collapsed.
% Rule
% [38]
% multiply(inverse(C),multiply(C,multiply(b1,multiply(A,inverse(multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(A,inverse(multiply(B,
% inverse(B)))))))
% collapsed.
% Rule
% [75]
% multiply(inverse(A),multiply(A,multiply(b1,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <->
% multiply(inverse(D),multiply(D,multiply(b1,multiply(B,inverse(multiply(b1,
% inverse(b1)))))))
% collapsed.
% Rule
% [76]
% multiply(inverse(D),multiply(D,multiply(b1,multiply(B,inverse(multiply(b1,
% inverse(b1)))))))
% <->
% multiply(inverse(A),multiply(A,multiply(b1,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% collapsed.
% Current number of equations to process: 1077
% Current number of ordered equations: 0
% Current number of rules: 42
% Rule [49]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),B),
% inverse(multiply(C,B)))) <->
% multiply(D,inverse(multiply(multiply(inverse(multiply(C,A)),V_4),
% inverse(multiply(inverse(D),V_4))))) is composed into
% [49]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,A),inverse(multiply(D,inverse(D))))
% Rule [48]
% multiply(inverse(inverse(A)),B) <->
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(b1,inverse(
% multiply(
% multiply(
% inverse(B),b1),
% inverse(
% multiply(
% inverse(b1),b1)))))))) is composed into
% [48]
% multiply(inverse(inverse(A)),B) <->
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(B,inverse(multiply(b1,
% inverse(b1)))))))
% Rule [46]
% multiply(inverse(inverse(A)),C) <->
% multiply(inverse(A),multiply(A,multiply(A,multiply(B,inverse(multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(B),D)))))))) is composed into
% [46]
% multiply(inverse(inverse(A)),C) <->
% multiply(inverse(A),multiply(A,multiply(A,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% Rule [44]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(A),B)))))) is composed into
% [44]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% multiply(A,multiply(B,inverse(multiply(b1,inverse(b1)))))
% Rule [12]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(b1,inverse(multiply(multiply(inverse(A),b1),inverse(multiply(
% inverse(b1),b1))))) is composed into
% [12]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(A,inverse(multiply(b1,inverse(b1))))
% Rule [7]
% inverse(multiply(multiply(inverse(multiply(inverse(D),B)),V_4),inverse(
% multiply(D,V_4))))
% <->
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(
% inverse(A),C))))) is composed into
% [7]
% inverse(multiply(multiply(inverse(multiply(inverse(D),B)),V_4),inverse(
% multiply(D,V_4))))
% -> multiply(B,inverse(multiply(b1,inverse(b1))))
% New rule produced :
% [78]
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(A),C)))))
% <-> multiply(B,inverse(multiply(D,inverse(D))))
% Rule
% [9]
% multiply(inverse(A),multiply(A,multiply(b1,inverse(multiply(multiply(
% inverse(C),b1),
% inverse(multiply(inverse(b1),b1)))))))
% -> C collapsed.
% Rule
% [17]
% multiply(inverse(A),multiply(A,multiply(A,inverse(multiply(multiply(inverse(B),B),
% inverse(multiply(inverse(A),B)))))))
% -> B collapsed.
% Rule
% [18]
% multiply(inverse(A),multiply(A,multiply(b1,multiply(B,inverse(multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(B),D))))))))
% -> multiply(inverse(inverse(b1)),C) collapsed.
% Rule
% [26]
% multiply(inverse(b1),multiply(b1,multiply(B,inverse(multiply(multiply(
% inverse(A),A),
% inverse(multiply(
% inverse(B),A)))))))
% -> A collapsed.
% Rule
% [27]
% multiply(inverse(B),multiply(B,multiply(inverse(b1),inverse(multiply(
% multiply(
% inverse(A),A),
% inverse(multiply(
% inverse(
% inverse(b1)),A)))))))
% -> A collapsed.
% Rule
% [34]
% multiply(inverse(A),multiply(b1,inverse(multiply(multiply(inverse(A),b1),
% inverse(multiply(inverse(b1),b1))))))
% <-> multiply(inverse(b1),multiply(b1,inverse(multiply(B,inverse(B)))))
% collapsed.
% Rule
% [43]
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(A),B))))))
% -> multiply(A,multiply(B,inverse(multiply(b1,inverse(b1))))) collapsed.
% Rule
% [45]
% multiply(inverse(A),multiply(A,multiply(A,multiply(B,inverse(multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(B),D))))))))
% <-> multiply(inverse(inverse(A)),C) collapsed.
% Rule
% [47]
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(b1,inverse(multiply(
% multiply(
% inverse(B),b1),
% inverse(
% multiply(
% inverse(b1),b1))))))))
% <-> multiply(inverse(inverse(A)),B) collapsed.
% Rule
% [50]
% multiply(D,inverse(multiply(multiply(inverse(multiply(C,A)),V_4),inverse(
% multiply(
% inverse(D),V_4)))))
% <->
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),B),
% inverse(multiply(C,B)))) collapsed.
% Rule
% [54]
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,B))),C),
% inverse(multiply(inverse(A),C))))) -> B collapsed.
% Rule
% [56]
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(A),C)))))
% <->
% multiply(b1,inverse(multiply(multiply(inverse(B),b1),inverse(multiply(
% inverse(b1),b1)))))
% collapsed.
% Rule
% [57]
% multiply(b1,inverse(multiply(multiply(inverse(B),b1),inverse(multiply(
% inverse(b1),b1)))))
% <->
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(A),C)))))
% collapsed.
% Rule
% [65]
% multiply(A,multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(A),C)),D),
% inverse(multiply(inverse(B),D)))))) -> C
% collapsed.
% Rule
% [69]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(inverse(
% multiply(C,D)),V_4),
% inverse(multiply(inverse(B),V_4)))))))
% -> multiply(C,D) collapsed.
% Current number of equations to process: 1116
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [79]
% multiply(multiply(inverse(b1),multiply(b1,B)),inverse(multiply(b1,inverse(b1))))
% -> B
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [80]
% multiply(A,multiply(multiply(inverse(A),C),inverse(multiply(D,inverse(D)))))
% -> C
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [81]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,inverse(C))))
% -> B
% Rule
% [79]
% multiply(multiply(inverse(b1),multiply(b1,B)),inverse(multiply(b1,inverse(b1))))
% -> B collapsed.
% Current number of equations to process: 1136
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [82]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,multiply(B,C)))),D),
% inverse(multiply(inverse(B),D)))) -> C
% Rule
% [55]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,multiply(B,A)))),C),
% inverse(multiply(inverse(B),C)))) -> A collapsed.
% Current number of equations to process: 1142
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [83]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(inverse(C)),B))))
% <->
% multiply(C,multiply(multiply(A,inverse(multiply(D,inverse(D)))),inverse(
% multiply(V_4,
% inverse(V_4)))))
% Current number of equations to process: 1166
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [84]
% multiply(C,multiply(multiply(A,inverse(multiply(D,inverse(D)))),inverse(
% multiply(V_4,
% inverse(V_4)))))
% <->
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(inverse(C)),B))))
% Current number of equations to process: 1166
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [85]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(
% inverse(B),
% multiply(B,C))),D),
% inverse(multiply(V_4,D)))))) <->
% multiply(V_4,C)
% Rule
% [52]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(
% inverse(b1),
% multiply(b1,B))),C),
% inverse(multiply(D,C)))))) <->
% multiply(D,B) collapsed.
% Current number of equations to process: 1165
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [86]
% multiply(A,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(multiply(inverse(inverse(A)),B),inverse(multiply(C,inverse(C))))
% Current number of equations to process: 1170
% Current number of ordered equations: 1
% Current number of rules: 33
% Rule [86]
% multiply(A,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(multiply(inverse(inverse(A)),B),inverse(multiply(C,inverse(C)))) is composed into
% [86]
% multiply(A,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(A,multiply(B,inverse(multiply(b1,inverse(b1)))))
% New rule produced :
% [87]
% multiply(multiply(inverse(inverse(A)),B),inverse(multiply(C,inverse(C)))) <->
% multiply(A,multiply(B,inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 1170
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [88]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(inverse(inverse(D)),C)))) <->
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4)))))
% Rule
% [58]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,B))),D),
% inverse(multiply(inverse(inverse(A)),D)))) <->
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) collapsed.
% Current number of equations to process: 1184
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [89]
% multiply(A,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(B,
% inverse(B))))))
% -> multiply(A,inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 1197
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [90]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(b1,inverse(b1)))))
% -> inverse(multiply(b1,inverse(b1)))
% Current number of equations to process: 1204
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [91]
% inverse(multiply(multiply(inverse(multiply(b1,inverse(b1))),A),inverse(
% multiply(B,A))))
% <-> multiply(inverse(inverse(B)),inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 1213
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [92]
% multiply(inverse(inverse(B)),inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(inverse(multiply(b1,inverse(b1))),A),inverse(
% multiply(B,A))))
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [93]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(A)))))
% -> inverse(multiply(b1,inverse(b1)))
% Rule
% [89]
% multiply(A,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(B,
% inverse(B))))))
% -> multiply(A,inverse(multiply(b1,inverse(b1)))) collapsed.
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [94]
% multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),A),inverse(
% multiply(B,
% inverse(B))))
% -> inverse(multiply(b1,inverse(b1)))
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [95]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(b1,inverse(b1)),
% multiply(B,inverse(multiply(C,
% inverse(C))))))
% -> B
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [96]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),A)),inverse(b1)),
% inverse(multiply(B,inverse(B))))) ->
% multiply(A,inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 1215
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [97]
% multiply(inverse(multiply(b1,inverse(b1))),multiply(multiply(A,inverse(A)),
% multiply(B,inverse(multiply(C,
% inverse(C))))))
% -> B
% Current number of equations to process: 1214
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [98]
% inverse(multiply(multiply(inverse(multiply(inverse(A),B)),inverse(A)),
% inverse(multiply(b1,inverse(b1))))) ->
% multiply(B,inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [99]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) <->
% inverse(multiply(multiply(inverse(A),D),inverse(multiply(C,D))))
% Current number of equations to process: 1290
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [100] multiply(A,inverse(A)) <-> multiply(b1,inverse(b1))
% Rule
% [12]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(A,inverse(multiply(b1,inverse(b1)))) collapsed.
% Rule
% [44]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% multiply(A,multiply(B,inverse(multiply(b1,inverse(b1))))) collapsed.
% Rule
% [64] inverse(multiply(A,inverse(A))) <-> inverse(multiply(b1,inverse(b1)))
% collapsed.
% Rule
% [86]
% multiply(A,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(A,multiply(B,inverse(multiply(b1,inverse(b1))))) collapsed.
% Current number of equations to process: 1322
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced : [101] multiply(b1,inverse(b1)) <-> multiply(A,inverse(A))
% Rule
% [63] inverse(multiply(b1,inverse(b1))) <-> inverse(multiply(A,inverse(A)))
% collapsed.
% Current number of equations to process: 1322
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [102]
% multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(b1,inverse(b1)))))
% Current number of equations to process: 1345
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [103]
% multiply(inverse(A),multiply(A,inverse(multiply(b1,inverse(b1))))) <->
% multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 1345
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [104]
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),multiply(A,B)))) <->
% multiply(inverse(C),multiply(C,multiply(inverse(D),multiply(D,B))))
% Current number of equations to process: 1359
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [105]
% multiply(inverse(C),multiply(C,multiply(inverse(D),multiply(D,B)))) <->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),multiply(A,B))))
% Current number of equations to process: 1359
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [106]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(multiply(D,B),inverse(multiply(b1,inverse(b1))))
% Rule
% [82]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,multiply(B,C)))),D),
% inverse(multiply(inverse(B),D)))) -> C collapsed.
% Current number of equations to process: 1387
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [107]
% multiply(multiply(D,B),inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C))))
% Current number of equations to process: 1387
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [108]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(multiply(D,B),inverse(multiply(V_4,inverse(V_4))))
% Rule
% [49]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,A),inverse(multiply(D,inverse(D)))) collapsed.
% Rule
% [106]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(multiply(D,B),inverse(multiply(b1,inverse(b1)))) collapsed.
% Current number of equations to process: 1386
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [109]
% multiply(inverse(A),multiply(inverse(B),multiply(B,inverse(multiply(multiply(
% inverse(C),
% inverse(A)),
% inverse(multiply(b1,
% inverse(b1))))))))
% -> C
% Current number of equations to process: 1395
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [110]
% multiply(inverse(b1),multiply(inverse(A),multiply(A,inverse(multiply(
% multiply(
% inverse(B),
% inverse(b1)),
% inverse(multiply(C,
% inverse(C))))))))
% -> B
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [111]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(
% inverse(C),D),B)))))
% -> multiply(D,inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 1393
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [112]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(b1,inverse(b1)),multiply(B,
% inverse(
% multiply(C,
% inverse(C)))))))
% Current number of equations to process: 1391
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [113]
% multiply(inverse(b1),multiply(b1,multiply(multiply(b1,inverse(b1)),multiply(B,
% inverse(
% multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B)
% Current number of equations to process: 1391
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [114]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(b1,inverse(b1)),
% inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 1390
% Current number of ordered equations: 1
% Current number of rules: 51
% Rule [114]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(b1,inverse(b1)),
% inverse(multiply(B,inverse(B))))) is composed into
% [114]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(b1,inverse(b1)))))
% New rule produced :
% [115]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(b1,inverse(b1)),
% inverse(multiply(B,inverse(B)))))
% <-> multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 1390
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [116]
% multiply(inverse(b1),multiply(b1,multiply(multiply(B,inverse(B)),multiply(A,
% inverse(
% multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(multiply(b1,inverse(b1)))),A)
% Current number of equations to process: 1387
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [117]
% multiply(inverse(inverse(multiply(b1,inverse(b1)))),A) <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(B,inverse(B)),multiply(A,
% inverse(
% multiply(C,
% inverse(C)))))))
% Current number of equations to process: 1387
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [118]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(b1,inverse(b1))),multiply(multiply(A,inverse(A)),
% inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 1386
% Current number of ordered equations: 1
% Current number of rules: 55
% Rule [118]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(b1,inverse(b1))),multiply(multiply(A,inverse(A)),
% inverse(multiply(B,inverse(B))))) is composed into
% [118]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(b1,inverse(b1)))))
% New rule produced :
% [119]
% multiply(inverse(multiply(b1,inverse(b1))),multiply(multiply(A,inverse(A)),
% inverse(multiply(B,inverse(B)))))
% <-> multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 1386
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [120]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),
% inverse(B)),inverse(multiply(b1,inverse(b1))))) <->
% multiply(multiply(B,A),inverse(multiply(C,inverse(C))))
% Current number of equations to process: 1403
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [121]
% multiply(multiply(B,A),inverse(multiply(C,inverse(C)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),
% inverse(B)),inverse(multiply(b1,inverse(b1)))))
% Current number of equations to process: 1403
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [122]
% multiply(C,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),inverse(C)),
% inverse(multiply(b1,inverse(b1)))))))
% Current number of equations to process: 1402
% Current number of ordered equations: 1
% Current number of rules: 59
% Rule [122]
% multiply(C,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),
% inverse(C)),inverse(
% multiply(b1,
% inverse(b1))))))) is composed into
% [122]
% multiply(C,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(C,multiply(B,inverse(multiply(b1,inverse(b1)))))
% New rule produced :
% [123]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),inverse(C)),
% inverse(multiply(b1,inverse(b1)))))))
% <-> multiply(C,multiply(B,inverse(multiply(D,inverse(D)))))
% Rule
% [109]
% multiply(inverse(A),multiply(inverse(B),multiply(B,inverse(multiply(multiply(
% inverse(C),
% inverse(A)),
% inverse(multiply(b1,
% inverse(b1))))))))
% -> C collapsed.
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [124]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),inverse(b1)),
% inverse(multiply(C,inverse(C)))))))
% <-> multiply(b1,multiply(B,inverse(multiply(D,inverse(D)))))
% Rule
% [110]
% multiply(inverse(b1),multiply(inverse(A),multiply(A,inverse(multiply(
% multiply(
% inverse(B),
% inverse(b1)),
% inverse(multiply(C,
% inverse(C))))))))
% -> B collapsed.
% Current number of equations to process: 1401
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [125]
% multiply(inverse(inverse(b1)),multiply(A,inverse(multiply(B,inverse(B)))))
% <->
% multiply(inverse(inverse(b1)),multiply(A,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 1419
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [126]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(A,inverse(multiply(C,inverse(C))))
% Rule
% [114]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(b1,inverse(b1)))))
% collapsed.
% Rule
% [118]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(b1,inverse(b1)))))
% collapsed.
% Rule
% [122]
% multiply(C,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(C,multiply(B,inverse(multiply(b1,inverse(b1))))) collapsed.
% Rule
% [125]
% multiply(inverse(inverse(b1)),multiply(A,inverse(multiply(B,inverse(B)))))
% <->
% multiply(inverse(inverse(b1)),multiply(A,inverse(multiply(C,inverse(C)))))
% collapsed.
% Current number of equations to process: 1438
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [127] inverse(multiply(B,inverse(B))) <-> inverse(multiply(A,inverse(A)))
% Rule
% [126]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(A,inverse(multiply(C,inverse(C)))) collapsed.
% Current number of equations to process: 1468
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [128]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B)
% Current number of equations to process: 1467
% Current number of ordered equations: 1
% Current number of rules: 58
% Rule [128]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B) is composed into
% [128]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(b1,inverse(b1)))))
% New rule produced :
% [129]
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C)))))
% Rule
% [94]
% multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),A),inverse(
% multiply(B,
% inverse(B))))
% -> inverse(multiply(b1,inverse(b1))) collapsed.
% Current number of equations to process: 1467
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [130]
% inverse(multiply(multiply(inverse(B),V_4),inverse(multiply(A,V_4)))) <->
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(
% multiply(D,
% inverse(D))))
% Rule
% [7]
% inverse(multiply(multiply(inverse(multiply(inverse(D),B)),V_4),inverse(
% multiply(D,V_4))))
% -> multiply(B,inverse(multiply(b1,inverse(b1)))) collapsed.
% Current number of equations to process: 1471
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [131]
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(
% multiply(D,
% inverse(D))))
% <-> inverse(multiply(multiply(inverse(B),V_4),inverse(multiply(A,V_4))))
% Current number of equations to process: 1471
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [132]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(A,C)),inverse(
% multiply(
% inverse(D),
% multiply(D,C))))))
% Current number of equations to process: 1469
% Current number of ordered equations: 3
% Current number of rules: 60
% New rule produced :
% [133]
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),inverse(
% multiply(
% inverse(A),
% multiply(D,C))))))
% <-> multiply(D,inverse(multiply(V_4,inverse(V_4))))
% Current number of equations to process: 1469
% Current number of ordered equations: 2
% Current number of rules: 61
% Rule [132]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(A,C)),inverse(
% multiply(
% inverse(D),
% multiply(D,C)))))) is composed into
% [132]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(B,inverse(multiply(b1,inverse(b1))))
% New rule produced :
% [134]
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(A,C)),inverse(
% multiply(
% inverse(D),
% multiply(D,C))))))
% <-> multiply(B,inverse(multiply(V_4,inverse(V_4))))
% Current number of equations to process: 1469
% Current number of ordered equations: 1
% Current number of rules: 62
% Rule [121]
% multiply(multiply(B,A),inverse(multiply(C,inverse(C)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),
% inverse(B)),inverse(multiply(b1,inverse(b1))))) is composed into
% [121]
% multiply(multiply(B,A),inverse(multiply(C,inverse(C)))) <->
% inverse(multiply(b1,inverse(multiply(multiply(inverse(b1),multiply(b1,b1)),
% inverse(multiply(inverse(b1),multiply(multiply(
% inverse(
% multiply(
% inverse(b1),
% multiply(b1,A))),
% inverse(B)),b1)))))))
% New rule produced :
% [135]
% multiply(D,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),inverse(
% multiply(
% inverse(A),
% multiply(D,C))))))
% Rule
% [87]
% multiply(multiply(inverse(inverse(A)),B),inverse(multiply(C,inverse(C)))) <->
% multiply(A,multiply(B,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [96]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),A)),inverse(b1)),
% inverse(multiply(B,inverse(B))))) ->
% multiply(A,inverse(multiply(b1,inverse(b1)))) collapsed.
% Rule
% [98]
% inverse(multiply(multiply(inverse(multiply(inverse(A),B)),inverse(A)),
% inverse(multiply(b1,inverse(b1))))) ->
% multiply(B,inverse(multiply(b1,inverse(b1)))) collapsed.
% Rule
% [120]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),
% inverse(B)),inverse(multiply(b1,inverse(b1))))) <->
% multiply(multiply(B,A),inverse(multiply(C,inverse(C)))) collapsed.
% Current number of equations to process: 1473
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [136]
% multiply(C,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),multiply(C,
% multiply(B,
% inverse(multiply(D,
% inverse(D))))))))))
% Current number of equations to process: 1482
% Current number of ordered equations: 3
% Current number of rules: 60
% New rule produced :
% [137]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(A,multiply(C,
% inverse(multiply(D,
% inverse(D)))))),
% inverse(C))))
% Current number of equations to process: 1482
% Current number of ordered equations: 2
% Current number of rules: 61
% Rule [137]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(A,multiply(C,
% inverse(
% multiply(D,
% inverse(D)))))),
% inverse(C)))) is composed into [137]
% multiply(B,inverse(
% multiply(V_4,
% inverse(V_4))))
% <->
% multiply(B,inverse(
% multiply(b1,
% inverse(b1))))
% New rule produced :
% [138]
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(A,multiply(C,
% inverse(multiply(D,
% inverse(D)))))),
% inverse(C)))) <->
% multiply(B,inverse(multiply(V_4,inverse(V_4))))
% Current number of equations to process: 1482
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [139]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),multiply(C,
% multiply(B,
% inverse(multiply(D,
% inverse(D))))))))))
% <-> multiply(C,inverse(multiply(V_4,inverse(V_4))))
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [140]
% multiply(multiply(A,inverse(A)),inverse(multiply(b1,inverse(b1)))) ->
% multiply(b1,inverse(b1))
% Rule
% [90]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(b1,inverse(b1)))))
% -> inverse(multiply(b1,inverse(b1))) collapsed.
% Current number of equations to process: 1731
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [141]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(B),multiply(B,
% multiply(b1,
% inverse(b1)))))))
% -> inverse(multiply(b1,inverse(b1)))
% Current number of equations to process: 1730
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [142]
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(b1,
% inverse(b1))))) <->
% multiply(multiply(b1,inverse(b1)),inverse(multiply(B,inverse(B))))
% Current number of equations to process: 1737
% Current number of ordered equations: 1
% Current number of rules: 65
% Rule [142]
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(b1,
% inverse(b1)))))
% <-> multiply(multiply(b1,inverse(b1)),inverse(multiply(B,inverse(B)))) is composed into
% [142]
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(b1,
% inverse(b1))))) <->
% multiply(b1,multiply(inverse(inverse(inverse(b1))),inverse(multiply(b1,
% inverse(b1)))))
% New rule produced :
% [143]
% multiply(multiply(b1,inverse(b1)),inverse(multiply(B,inverse(B)))) <->
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(b1,
% inverse(b1)))))
% Rule
% [93]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(A)))))
% -> inverse(multiply(b1,inverse(b1))) collapsed.
% Rule
% [115]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(b1,inverse(b1)),
% inverse(multiply(B,inverse(B)))))
% <-> multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C)))))
% collapsed.
% Current number of equations to process: 1739
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [144]
% inverse(multiply(b1,multiply(inverse(inverse(inverse(b1))),inverse(multiply(b1,
% inverse(b1))))))
% -> inverse(multiply(b1,inverse(b1)))
% Current number of equations to process: 1738
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [145]
% multiply(A,multiply(b1,multiply(inverse(inverse(inverse(b1))),inverse(
% multiply(b1,
% inverse(b1))))))
% -> inverse(inverse(A))
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [146]
% multiply(multiply(b1,multiply(b1,inverse(b1))),inverse(multiply(b1,inverse(b1))))
% -> multiply(inverse(inverse(b1)),inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 1817
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [147]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(b1,
% inverse(b1))),B),
% inverse(multiply(C,B)))))) ->
% inverse(inverse(C))
% Current number of equations to process: 1816
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [148]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(inverse(inverse(multiply(C,inverse(C))))),multiply(inverse(
% inverse(
% multiply(b1,
% inverse(b1)))),B))
% Current number of equations to process: 1836
% Current number of ordered equations: 1
% Current number of rules: 69
% Rule [148]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(inverse(inverse(multiply(C,inverse(C))))),multiply(
% inverse(
% inverse(
% multiply(b1,
% inverse(b1)))),B)) is composed into
% [148]
% multiply(inverse(A),multiply(A,B)) <-> multiply(inverse(b1),multiply(b1,B))
% New rule produced :
% [149]
% multiply(inverse(inverse(inverse(multiply(C,inverse(C))))),multiply(inverse(
% inverse(
% multiply(b1,
% inverse(b1)))),B))
% <-> multiply(inverse(A),multiply(A,B))
% Current number of equations to process: 1836
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [150]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(b1,inverse(b1)),B))
% Current number of equations to process: 1848
% Current number of ordered equations: 1
% Current number of rules: 71
% Rule [150]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(b1,inverse(b1)),B)) is composed into
% [150]
% multiply(inverse(C),multiply(C,B)) <-> multiply(inverse(b1),multiply(b1,B))
% New rule produced :
% [151]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(b1,inverse(b1)),B))
% <-> multiply(inverse(C),multiply(C,B))
% Rule
% [95]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(b1,inverse(b1)),
% multiply(B,inverse(multiply(C,
% inverse(C))))))
% -> B collapsed.
% Current number of equations to process: 1848
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [152]
% multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),multiply(
% inverse(
% inverse(
% multiply(C,
% inverse(C)))),B))
% <-> multiply(inverse(A),multiply(A,B))
% Current number of equations to process: 1852
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [153]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(multiply(b1,inverse(b1))),multiply(multiply(A,inverse(A)),B))
% Current number of equations to process: 1862
% Current number of ordered equations: 1
% Current number of rules: 73
% Rule [153]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(multiply(b1,inverse(b1))),multiply(multiply(A,inverse(A)),B)) is composed into
% [153]
% multiply(inverse(C),multiply(C,B)) <-> multiply(inverse(b1),multiply(b1,B))
% New rule produced :
% [154]
% multiply(inverse(multiply(b1,inverse(b1))),multiply(multiply(A,inverse(A)),B))
% <-> multiply(inverse(C),multiply(C,B))
% Rule
% [97]
% multiply(inverse(multiply(b1,inverse(b1))),multiply(multiply(A,inverse(A)),
% multiply(B,inverse(multiply(C,
% inverse(C))))))
% -> B collapsed.
% Rule
% [119]
% multiply(inverse(multiply(b1,inverse(b1))),multiply(multiply(A,inverse(A)),
% inverse(multiply(B,inverse(B)))))
% <-> multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C)))))
% collapsed.
% Current number of equations to process: 1862
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [155]
% multiply(multiply(inverse(A),B),inverse(multiply(C,B))) <->
% multiply(multiply(inverse(A),D),inverse(multiply(C,D)))
% Rule
% [99]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) <->
% inverse(multiply(multiply(inverse(A),D),inverse(multiply(C,D)))) collapsed.
% Current number of equations to process: 1917
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [156]
% multiply(inverse(A),multiply(A,multiply(b1,inverse(b1)))) ->
% multiply(b1,inverse(b1))
% Rule
% [141]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(B),multiply(B,
% multiply(b1,
% inverse(b1)))))))
% -> inverse(multiply(b1,inverse(b1))) collapsed.
% Current number of equations to process: 1921
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [157]
% multiply(inverse(A),multiply(b1,inverse(b1))) <->
% multiply(inverse(B),multiply(B,inverse(A)))
% Current number of equations to process: 1928
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [158]
% multiply(inverse(B),multiply(B,inverse(A))) <->
% multiply(inverse(A),multiply(b1,inverse(b1)))
% Current number of equations to process: 1928
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [159]
% multiply(multiply(inverse(A),multiply(b1,inverse(b1))),inverse(multiply(B,
% inverse(B))))
% -> inverse(A)
% Current number of equations to process: 1946
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [160]
% multiply(inverse(B),multiply(B,inverse(b1))) <->
% multiply(inverse(b1),multiply(A,inverse(A)))
% Current number of equations to process: 1947
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [161]
% multiply(inverse(b1),multiply(A,inverse(A))) <->
% multiply(inverse(B),multiply(B,inverse(b1)))
% Current number of equations to process: 1947
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [162]
% multiply(multiply(inverse(b1),multiply(A,inverse(A))),inverse(multiply(B,
% inverse(B))))
% -> inverse(b1)
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [163]
% multiply(inverse(A),multiply(A,multiply(B,multiply(b1,inverse(b1))))) <->
% multiply(inverse(inverse(B)),multiply(C,inverse(C)))
% Current number of equations to process: 1951
% Current number of ordered equations: 1
% Current number of rules: 79
% Rule [163]
% multiply(inverse(A),multiply(A,multiply(B,multiply(b1,inverse(b1)))))
% <-> multiply(inverse(inverse(B)),multiply(C,inverse(C))) is composed into
% [163]
% multiply(inverse(A),multiply(A,multiply(B,multiply(b1,inverse(b1))))) <->
% multiply(inverse(b1),multiply(b1,multiply(B,multiply(b1,inverse(b1)))))
% New rule produced :
% [164]
% multiply(inverse(inverse(B)),multiply(C,inverse(C))) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(b1,inverse(b1)))))
% Current number of equations to process: 1951
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [165]
% multiply(inverse(inverse(A)),multiply(inverse(B),multiply(b1,inverse(b1))))
% -> multiply(inverse(b1),multiply(b1,multiply(A,inverse(B))))
% Current number of equations to process: 1949
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [166]
% multiply(inverse(inverse(A)),multiply(inverse(b1),multiply(B,inverse(B)))) ->
% multiply(inverse(b1),multiply(b1,multiply(A,inverse(b1))))
% Current number of equations to process: 1948
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [167]
% inverse(multiply(multiply(inverse(multiply(B,inverse(B))),C),inverse(
% multiply(
% inverse(
% inverse(A)),C))))
% -> inverse(inverse(A))
% Current number of equations to process: 1947
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [168]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(b1,inverse(b1))))
% Rule
% [91]
% inverse(multiply(multiply(inverse(multiply(b1,inverse(b1))),A),inverse(
% multiply(B,A))))
% <-> multiply(inverse(inverse(B)),inverse(multiply(b1,inverse(b1))))
% collapsed.
% Current number of equations to process: 1946
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [169]
% inverse(multiply(multiply(inverse(multiply(b1,inverse(b1))),C),inverse(
% multiply(A,C))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B))))
% Current number of equations to process: 1945
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [170]
% multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(multiply(inverse(multiply(b1,inverse(b1))),C),inverse(
% multiply(A,C))))
% Rule
% [92]
% multiply(inverse(inverse(B)),inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(inverse(multiply(b1,inverse(b1))),A),inverse(
% multiply(B,A))))
% collapsed.
% Current number of equations to process: 1945
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [171]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% Rule
% [80]
% multiply(A,multiply(multiply(inverse(A),C),inverse(multiply(D,inverse(D)))))
% -> C collapsed.
% Rule
% [81]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,inverse(C))))
% -> B collapsed.
% Rule
% [123]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),inverse(C)),
% inverse(multiply(b1,inverse(b1)))))))
% <-> multiply(C,multiply(B,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [124]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),inverse(b1)),
% inverse(multiply(C,inverse(C)))))))
% <-> multiply(b1,multiply(B,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [146]
% multiply(multiply(b1,multiply(b1,inverse(b1))),inverse(multiply(b1,inverse(b1))))
% -> multiply(inverse(inverse(b1)),inverse(multiply(b1,inverse(b1))))
% collapsed.
% Rule
% [159]
% multiply(multiply(inverse(A),multiply(b1,inverse(b1))),inverse(multiply(B,
% inverse(B))))
% -> inverse(A) collapsed.
% Rule
% [162]
% multiply(multiply(inverse(b1),multiply(A,inverse(A))),inverse(multiply(B,
% inverse(B))))
% -> inverse(b1) collapsed.
% Current number of equations to process: 1955
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [172]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(A,inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(A))))))))))))
% Current number of equations to process: 1953
% Current number of ordered equations: 2
% Current number of rules: 79
% New rule produced :
% [173]
% multiply(A,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% <-> multiply(B,inverse(multiply(C,inverse(C))))
% Current number of equations to process: 1953
% Current number of ordered equations: 1
% Current number of rules: 80
% Rule [172]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(A,inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(inverse(A),
% inverse(inverse(multiply(
% inverse(B),
% inverse(
% inverse(A)))))))))))) is composed into
% [172]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(B,inverse(multiply(b1,inverse(b1))))
% New rule produced :
% [174]
% multiply(A,inverse(multiply(A,inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(A))))))))))))
% <-> multiply(B,inverse(multiply(C,inverse(C))))
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [175]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(A),
% multiply(A,B))),C),
% inverse(multiply(D,C)))))) <-> multiply(D,B)
% Current number of equations to process: 1952
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [176]
% multiply(D,B) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(A),
% multiply(A,B))),C),
% inverse(multiply(D,C))))))
% Current number of equations to process: 1952
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [177]
% multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(C),multiply(C,inverse(multiply(D,inverse(D)))))
% Rule
% [40]
% multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) collapsed.
% Rule
% [102]
% multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(b1,inverse(b1))))) collapsed.
% Rule
% [103]
% multiply(inverse(A),multiply(A,inverse(multiply(b1,inverse(b1))))) <->
% multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C))))) collapsed.
% Rule
% [128]
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(b1,inverse(b1)))))
% collapsed.
% Current number of equations to process: 1987
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [178]
% inverse(multiply(multiply(inverse(D),V_4),inverse(multiply(C,V_4)))) <->
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(D,B)))))
% Current number of equations to process: 1993
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [179]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(D,B)))))
% <-> inverse(multiply(multiply(inverse(D),V_4),inverse(multiply(C,V_4))))
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [180]
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(B,C)))) <->
% multiply(inverse(D),multiply(D,multiply(inverse(V_4),multiply(V_4,C))))
% Rule
% [104]
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),multiply(A,B)))) <->
% multiply(inverse(C),multiply(C,multiply(inverse(D),multiply(D,B))))
% collapsed.
% Rule
% [105]
% multiply(inverse(C),multiply(C,multiply(inverse(D),multiply(D,B)))) <->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),multiply(A,B))))
% collapsed.
% Current number of equations to process: 2008
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [181]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 2006
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [182]
% multiply(inverse(inverse(A)),inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))
% Current number of equations to process: 2006
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [183]
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(inverse(A),multiply(A,B)))))
% <->
% multiply(inverse(C),multiply(C,multiply(b1,multiply(inverse(D),multiply(D,B)))))
% Current number of equations to process: 2005
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [184]
% multiply(inverse(C),multiply(C,multiply(b1,multiply(inverse(D),multiply(D,B)))))
% <->
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(inverse(A),multiply(A,B)))))
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [185]
% inverse(multiply(multiply(inverse(C),V_4),inverse(multiply(B,V_4)))) <->
% inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D)))))))))
% Current number of equations to process: 2004
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [186]
% inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D)))))))))
% <-> inverse(multiply(multiply(inverse(C),V_4),inverse(multiply(B,V_4))))
% Current number of equations to process: 2004
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [187]
% multiply(A,multiply(A,inverse(multiply(multiply(b1,inverse(b1)),inverse(
% multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(A),C)))))))))
% -> C
% Current number of equations to process: 2003
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [188]
% multiply(A,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(A),
% multiply(A,B)))))))))
% -> B
% Current number of equations to process: 2002
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [189]
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(
% inverse(D),
% multiply(D,C)))))
% Current number of equations to process: 2008
% Current number of ordered equations: 1
% Current number of rules: 90
% Rule [189]
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(
% inverse(D),
% multiply(D,C))))) is composed into
% [189]
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1))))
% New rule produced :
% [190]
% inverse(multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(
% inverse(D),
% multiply(D,C)))))
% <->
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% Rule
% [134]
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(A,C)),inverse(
% multiply(
% inverse(D),
% multiply(D,C))))))
% <-> multiply(B,inverse(multiply(V_4,inverse(V_4)))) collapsed.
% Current number of equations to process: 2008
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [191]
% multiply(inverse(A),multiply(inverse(B),multiply(B,inverse(multiply(multiply(b1,
% inverse(b1)),
% inverse(multiply(A,
% inverse(
% inverse(C)))))))))
% -> C
% Current number of equations to process: 2007
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [192]
% multiply(b1,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(b1),
% inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,A)))))))))
% -> A
% Current number of equations to process: 2049
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [193]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(C),multiply(C,multiply(multiply(b1,inverse(b1)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% Rule
% [112]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(b1,inverse(b1)),multiply(B,
% inverse(
% multiply(C,
% inverse(C)))))))
% collapsed.
% Current number of equations to process: 2126
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [194]
% multiply(inverse(C),multiply(C,multiply(multiply(b1,inverse(b1)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B)
% Rule
% [113]
% multiply(inverse(b1),multiply(b1,multiply(multiply(b1,inverse(b1)),multiply(B,
% inverse(
% multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B) collapsed.
% Current number of equations to process: 2126
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [195]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(b1,inverse(b1)))),A)
% Rule
% [116]
% multiply(inverse(b1),multiply(b1,multiply(multiply(B,inverse(B)),multiply(A,
% inverse(
% multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(multiply(b1,inverse(b1)))),A) collapsed.
% Current number of equations to process: 2125
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [196]
% multiply(inverse(inverse(multiply(b1,inverse(b1)))),A) <->
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% Rule
% [117]
% multiply(inverse(inverse(multiply(b1,inverse(b1)))),A) <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(B,inverse(B)),multiply(A,
% inverse(
% multiply(C,
% inverse(C)))))))
% collapsed.
% Current number of equations to process: 2125
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [197]
% multiply(A,multiply(b1,inverse(b1))) <->
% multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(multiply(C,
% inverse(C))),D),
% inverse(multiply(A,D))))))
% Current number of equations to process: 2124
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [198]
% multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(multiply(C,
% inverse(C))),D),
% inverse(multiply(A,D)))))) <->
% multiply(A,multiply(b1,inverse(b1)))
% Current number of equations to process: 2124
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [199]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(b1,inverse(b1)))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,inverse(A)),inverse(multiply(D,inverse(D))))
% Current number of equations to process: 2123
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [200]
% multiply(multiply(C,inverse(A)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(b1,inverse(b1)))),B),
% inverse(multiply(C,B))))
% Current number of equations to process: 2123
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [201]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(A,inverse(A)))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,inverse(b1)),inverse(multiply(D,inverse(D))))
% Current number of equations to process: 2122
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [202]
% multiply(multiply(C,inverse(b1)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(A,inverse(A)))),B),
% inverse(multiply(C,B))))
% Current number of equations to process: 2122
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [203]
% inverse(multiply(multiply(inverse(A),multiply(A,inverse(multiply(b1,inverse(b1))))),
% inverse(B))) <-> multiply(B,inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 2178
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [204]
% multiply(B,inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(inverse(A),multiply(A,inverse(multiply(b1,inverse(b1))))),
% inverse(B)))
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 2188
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [206]
% multiply(inverse(inverse(C)),inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% Current number of equations to process: 2188
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [207]
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C)))
% Current number of equations to process: 2187
% Current number of ordered equations: 1
% Current number of rules: 103
% Rule [207]
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(
% multiply(D,
% inverse(D)))))),
% inverse(C))) is composed into [207]
% inverse(multiply(multiply(
% inverse(A),V_4),
% inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(
% inverse(A),b1),
% inverse(multiply(inverse(B),b1))))
% New rule produced :
% [208]
% inverse(multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C))) <->
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% Rule
% [138]
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(A,multiply(C,
% inverse(multiply(D,
% inverse(D)))))),
% inverse(C)))) <->
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) collapsed.
% Current number of equations to process: 2187
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [209]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(B,inverse(inverse(C))))))))
% Current number of equations to process: 2186
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [210]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(B,inverse(inverse(C))))))))
% <-> multiply(B,multiply(C,inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 2186
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [211]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))
% <-> multiply(multiply(A,C),inverse(multiply(D,inverse(D))))
% Current number of equations to process: 2184
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [212]
% multiply(multiply(A,C),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))
% Current number of equations to process: 2184
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [213]
% inverse(multiply(A,inverse(multiply(B,multiply(inverse(b1),multiply(b1,
% inverse(multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% inverse(A))))))))))))
% -> multiply(C,inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 2183
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [214]
% inverse(multiply(C,inverse(C))) <->
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 2223
% Current number of ordered equations: 1
% Current number of rules: 109
% Rule [214]
% inverse(multiply(C,inverse(C))) <->
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B))))) is composed into
% [214] inverse(multiply(C,inverse(C))) <-> inverse(multiply(b1,inverse(b1)))
% New rule produced :
% [215]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B))))) <->
% inverse(multiply(C,inverse(C)))
% Current number of equations to process: 2223
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [216]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))) ->
% multiply(b1,inverse(b1))
% Rule
% [140]
% multiply(multiply(A,inverse(A)),inverse(multiply(b1,inverse(b1)))) ->
% multiply(b1,inverse(b1)) collapsed.
% Rule
% [143]
% multiply(multiply(b1,inverse(b1)),inverse(multiply(B,inverse(B)))) <->
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(b1,
% inverse(b1)))))
% collapsed.
% Rule
% [215]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B))))) <->
% inverse(multiply(C,inverse(C))) collapsed.
% Current number of equations to process: 2227
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [217]
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(b1,
% inverse(b1))))) ->
% multiply(b1,inverse(b1))
% Rule
% [142]
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(b1,
% inverse(b1))))) <->
% multiply(b1,multiply(inverse(inverse(inverse(b1))),inverse(multiply(b1,
% inverse(b1)))))
% collapsed.
% Rule
% [144]
% inverse(multiply(b1,multiply(inverse(inverse(inverse(b1))),inverse(multiply(b1,
% inverse(b1))))))
% -> inverse(multiply(b1,inverse(b1))) collapsed.
% Rule
% [145]
% multiply(A,multiply(b1,multiply(inverse(inverse(inverse(b1))),inverse(
% multiply(b1,
% inverse(b1))))))
% -> inverse(inverse(A)) collapsed.
% Current number of equations to process: 2227
% Current number of ordered equations: 0
% Current number of rules: 106
% Rule [200]
% multiply(multiply(C,inverse(A)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(b1,
% inverse(b1)))),B),
% inverse(multiply(C,B)))) is composed into [200]
% multiply(multiply(C,
% inverse(A)),
% inverse(multiply(D,
% inverse(D))))
% <->
% inverse(multiply(
% multiply(
% inverse(
% inverse(
% inverse(
% inverse(A)))),B),
% inverse(
% multiply(C,B))))
% Rule [198]
% multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(
% multiply(C,
% inverse(C))),D),
% inverse(multiply(A,D)))))) <->
% multiply(A,multiply(b1,inverse(b1))) is composed into [198]
% multiply(inverse(B),
% multiply(B,
% inverse(multiply(
% multiply(
% inverse(
% multiply(C,
% inverse(C))),D),
% inverse(
% multiply(A,D))))))
% ->
% inverse(inverse(A))
% Rule [164]
% multiply(inverse(inverse(B)),multiply(C,inverse(C))) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(b1,inverse(b1))))) is composed into
% [164]
% multiply(inverse(inverse(B)),multiply(C,inverse(C))) <->
% multiply(inverse(A),multiply(A,inverse(inverse(B))))
% Rule [158]
% multiply(inverse(B),multiply(B,inverse(A))) <->
% multiply(inverse(A),multiply(b1,inverse(b1))) is composed into [158]
% multiply(
% inverse(B),
% multiply(B,
% inverse(A)))
% ->
% inverse(
% inverse(
% inverse(A)))
% New rule produced :
% [218] multiply(A,multiply(b1,inverse(b1))) -> inverse(inverse(A))
% Rule
% [156]
% multiply(inverse(A),multiply(A,multiply(b1,inverse(b1)))) ->
% multiply(b1,inverse(b1)) collapsed.
% Rule
% [157]
% multiply(inverse(A),multiply(b1,inverse(b1))) <->
% multiply(inverse(B),multiply(B,inverse(A))) collapsed.
% Rule
% [163]
% multiply(inverse(A),multiply(A,multiply(B,multiply(b1,inverse(b1))))) <->
% multiply(inverse(b1),multiply(b1,multiply(B,multiply(b1,inverse(b1)))))
% collapsed.
% Rule
% [165]
% multiply(inverse(inverse(A)),multiply(inverse(B),multiply(b1,inverse(b1))))
% -> multiply(inverse(b1),multiply(b1,multiply(A,inverse(B)))) collapsed.
% Rule
% [197]
% multiply(A,multiply(b1,inverse(b1))) <->
% multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(multiply(C,
% inverse(C))),D),
% inverse(multiply(A,D)))))) collapsed.
% Rule
% [199]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(b1,inverse(b1)))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,inverse(A)),inverse(multiply(D,inverse(D)))) collapsed.
% Current number of equations to process: 2228
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [219]
% multiply(inverse(inverse(A)),inverse(inverse(inverse(B)))) ->
% multiply(inverse(b1),multiply(b1,multiply(A,inverse(B))))
% Current number of equations to process: 2227
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [220]
% inverse(multiply(B,inverse(B))) <->
% inverse(multiply(inverse(b1),multiply(b1,multiply(A,inverse(A)))))
% Current number of equations to process: 2229
% Current number of ordered equations: 1
% Current number of rules: 103
% Rule [220]
% inverse(multiply(B,inverse(B))) <->
% inverse(multiply(inverse(b1),multiply(b1,multiply(A,inverse(A))))) is composed into
% [220] inverse(multiply(B,inverse(B))) <-> inverse(multiply(b1,inverse(b1)))
% New rule produced :
% [221]
% inverse(multiply(inverse(b1),multiply(b1,multiply(A,inverse(A))))) <->
% inverse(multiply(B,inverse(B)))
% Current number of equations to process: 2229
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [222]
% multiply(inverse(D),multiply(D,C)) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C))
% Current number of equations to process: 2246
% Current number of ordered equations: 1
% Current number of rules: 105
% Rule [222]
% multiply(inverse(D),multiply(D,C)) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C)) is composed into
% [222]
% multiply(inverse(D),multiply(D,C)) <-> multiply(inverse(b1),multiply(b1,C))
% New rule produced :
% [223]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C))
% <-> multiply(inverse(D),multiply(D,C))
% Rule
% [151]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(b1,inverse(b1)),B))
% <-> multiply(inverse(C),multiply(C,B)) collapsed.
% Rule
% [154]
% multiply(inverse(multiply(b1,inverse(b1))),multiply(multiply(A,inverse(A)),B))
% <-> multiply(inverse(C),multiply(C,B)) collapsed.
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [224]
% multiply(inverse(b1),multiply(b1,multiply(multiply(A,inverse(A)),B))) <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(C,inverse(C)),B)))
% Current number of equations to process: 2245
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [225]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C))))
% <-> multiply(multiply(B,C),inverse(multiply(D,inverse(D))))
% Current number of equations to process: 2251
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [226]
% multiply(multiply(B,C),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C))))
% Current number of equations to process: 2251
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [227]
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),
% inverse(multiply(B,C)))))) -> multiply(B,C)
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [228]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(b1,inverse(b1)))))))
% Current number of equations to process: 2280
% Current number of ordered equations: 1
% Current number of rules: 109
% Rule [228]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(b1,inverse(b1))))))) is composed into
% [228]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(inverse(inverse(multiply(b1,inverse(b1)))))
% New rule produced :
% [229]
% inverse(inverse(inverse(inverse(inverse(multiply(b1,inverse(b1))))))) <->
% inverse(inverse(inverse(multiply(A,inverse(A)))))
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [230]
% inverse(inverse(inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(multiply(inverse(b1),multiply(A,inverse(A)))),inverse(b1))
% Current number of equations to process: 2279
% Current number of ordered equations: 1
% Current number of rules: 111
% Rule [230]
% inverse(inverse(inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(multiply(inverse(b1),multiply(A,inverse(A)))),inverse(b1)) is composed into
% [230]
% inverse(inverse(inverse(multiply(B,inverse(B))))) <->
% inverse(inverse(inverse(multiply(b1,inverse(b1)))))
% New rule produced :
% [231]
% multiply(inverse(multiply(inverse(b1),multiply(A,inverse(A)))),inverse(b1))
% <-> inverse(inverse(inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 2279
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [232]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(A,multiply(B,
% inverse(
% multiply(C,
% inverse(C))))))
% Current number of equations to process: 2279
% Current number of ordered equations: 1
% Current number of rules: 113
% Rule [232]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(A,multiply(B,
% inverse(
% multiply(C,
% inverse(C)))))) is composed into
% [232]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(b1,inverse(b1)))))
% New rule produced :
% [233]
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(A,multiply(B,
% inverse(
% multiply(C,
% inverse(C))))))
% <-> inverse(inverse(inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 2279
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [234]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(
% inverse(
% inverse(B)),C))))
% <-> multiply(B,multiply(C,inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 2278
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [235]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(
% inverse(
% inverse(B)),C))))
% Current number of equations to process: 2278
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [236]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% Current number of equations to process: 2297
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [237]
% multiply(inverse(b1),multiply(b1,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B)
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [238]
% inverse(multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1))))
% <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(inverse(B),
% inverse(inverse(A))))))
% Current number of equations to process: 2314
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [239]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(inverse(B),
% inverse(inverse(A)))))) <->
% inverse(multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1))))
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [240]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,
% inverse(B))))
% -> inverse(multiply(b1,inverse(b1)))
% Current number of equations to process: 2351
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [241]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(D,inverse(D))))
% Rule
% [168]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(b1,inverse(b1))))
% collapsed.
% Rule
% [169]
% inverse(multiply(multiply(inverse(multiply(b1,inverse(b1))),C),inverse(
% multiply(A,C))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B)))) collapsed.
% Current number of equations to process: 2360
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [242]
% multiply(inverse(inverse(C)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% Rule
% [170]
% multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(multiply(inverse(multiply(b1,inverse(b1))),C),inverse(
% multiply(A,C))))
% collapsed.
% Current number of equations to process: 2360
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [243]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(B))))))
% <->
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(
% multiply(D,
% inverse(D))))
% Current number of equations to process: 2370
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [244]
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(
% multiply(D,
% inverse(D))))
% <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(B))))))
% Current number of equations to process: 2370
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [245]
% inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(b1)))),A),
% inverse(multiply(inverse(B),A))))) ->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(b1,inverse(
% inverse(B))))))
% Current number of equations to process: 2369
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [246]
% inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C)))) <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(B))))))
% Rule
% [238]
% inverse(multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1))))
% <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(inverse(B),
% inverse(inverse(A))))))
% collapsed.
% Current number of equations to process: 2371
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [247]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(B))))))
% <-> inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C))))
% Rule
% [239]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(inverse(B),
% inverse(inverse(A)))))) <->
% inverse(multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1))))
% collapsed.
% Current number of equations to process: 2371
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [248]
% inverse(inverse(inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B))))))
% <-> multiply(C,multiply(A,inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 2375
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [249]
% multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B))))))
% Current number of equations to process: 2375
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [250]
% inverse(multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),
% inverse(A))) <-> multiply(A,inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 2432
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [251]
% multiply(A,inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),
% inverse(A)))
% Current number of equations to process: 2432
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [252]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(B),
% inverse(inverse(A)))))))
% Current number of equations to process: 2519
% Current number of ordered equations: 1
% Current number of rules: 128
% Rule [252]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(B),
% inverse(inverse(A))))))) is composed into
% [252]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(B,inverse(multiply(b1,inverse(b1))))
% New rule produced :
% [253]
% multiply(A,inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(B),
% inverse(inverse(A)))))))
% <-> multiply(B,inverse(multiply(C,inverse(C))))
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 129
% Rule [243]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(B))))))
% <->
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),
% inverse(multiply(D,inverse(D)))) is composed into [243]
% inverse(multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(A,
% inverse(
% inverse(B))))))
% <->
% multiply(b1,inverse(
% multiply(
% inverse(
% inverse(
% inverse(b1))),
% inverse(
% multiply(
% inverse(b1),
% multiply(
% multiply(A,
% multiply(B,
% inverse(
% multiply(C,
% inverse(C))))),
% inverse(b1)))))))
% Rule [225]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),
% inverse(multiply(B,C)))) <->
% multiply(multiply(B,C),inverse(multiply(D,inverse(D)))) is composed into
% [225]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C))))
% <->
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(B,C),
% inverse(b1)))))))
% Rule [211]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))
% <-> multiply(multiply(A,C),inverse(multiply(D,inverse(D)))) is composed into
% [211]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))
% <->
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(A,C),
% inverse(b1)))))))
% Rule [201]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(A,
% inverse(A)))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,inverse(b1)),inverse(multiply(D,inverse(D)))) is composed into
% [201]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(A,inverse(A)))),B),
% inverse(multiply(C,B)))) <->
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(C,
% inverse(b1)),
% inverse(b1)))))))
% Rule [130]
% inverse(multiply(multiply(inverse(B),V_4),inverse(multiply(A,V_4)))) <->
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),
% inverse(multiply(D,inverse(D)))) is composed into [130]
% inverse(multiply(
% multiply(
% inverse(B),V_4),
% inverse(
% multiply(A,V_4))))
% <->
% multiply(b1,inverse(
% multiply(
% inverse(
% inverse(
% inverse(b1))),
% inverse(
% multiply(
% inverse(b1),
% multiply(
% multiply(A,
% multiply(B,
% inverse(
% multiply(C,
% inverse(C))))),
% inverse(b1)))))))
% Rule [108]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(multiply(D,B),inverse(multiply(V_4,inverse(V_4)))) is composed into
% [108]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(D,B),
% inverse(b1)))))))
% Rule [83]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(
% inverse(C)),B))))
% <->
% multiply(C,multiply(multiply(A,inverse(multiply(D,inverse(D)))),
% inverse(multiply(V_4,inverse(V_4))))) is composed into
% [83]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(inverse(C)),B))))
% <->
% multiply(C,multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),
% inverse(multiply(inverse(b1),multiply(
% multiply(A,
% inverse(multiply(D,
% inverse(D)))),
% inverse(b1))))))))
% New rule produced :
% [254]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(inverse(inverse(inverse(B))),inverse(multiply(
% inverse(A),
% multiply(C,
% inverse(B)))))))
% Rule
% [84]
% multiply(C,multiply(multiply(A,inverse(multiply(D,inverse(D)))),inverse(
% multiply(V_4,
% inverse(V_4)))))
% <->
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(inverse(C)),B))))
% collapsed.
% Rule
% [107]
% multiply(multiply(D,B),inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) collapsed.
% Rule
% [121]
% multiply(multiply(B,A),inverse(multiply(C,inverse(C)))) <->
% inverse(multiply(b1,inverse(multiply(multiply(inverse(b1),multiply(b1,b1)),
% inverse(multiply(inverse(b1),multiply(multiply(
% inverse(
% multiply(
% inverse(b1),
% multiply(b1,A))),
% inverse(B)),b1)))))))
% collapsed.
% Rule
% [131]
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(
% multiply(D,
% inverse(D))))
% <-> inverse(multiply(multiply(inverse(B),V_4),inverse(multiply(A,V_4))))
% collapsed.
% Rule
% [200]
% multiply(multiply(C,inverse(A)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(A)))),B),inverse(
% multiply(C,B))))
% collapsed.
% Rule
% [202]
% multiply(multiply(C,inverse(b1)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(A,inverse(A)))),B),
% inverse(multiply(C,B)))) collapsed.
% Rule
% [212]
% multiply(multiply(A,C),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))
% collapsed.
% Rule
% [216]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))) ->
% multiply(b1,inverse(b1)) collapsed.
% Rule
% [226]
% multiply(multiply(B,C),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C))))
% collapsed.
% Rule
% [240]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,
% inverse(B))))
% -> inverse(multiply(b1,inverse(b1))) collapsed.
% Rule
% [244]
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(
% multiply(D,
% inverse(D))))
% <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(B))))))
% collapsed.
% Current number of equations to process: 2529
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [255]
% multiply(A,inverse(multiply(inverse(inverse(inverse(B))),inverse(multiply(
% inverse(A),
% multiply(C,
% inverse(B)))))))
% <-> multiply(C,inverse(multiply(D,inverse(D))))
% Current number of equations to process: 2529
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [256]
% multiply(A,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(A),
% multiply(B,
% inverse(B)))))))
% <-> multiply(b1,inverse(multiply(C,inverse(C))))
% Current number of equations to process: 2528
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [257]
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(A,
% inverse(A)),
% inverse(b1)))))))
% -> multiply(b1,inverse(b1))
% Current number of equations to process: 2552
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [258]
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(inverse(multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(
% multiply(D,
% inverse(D)),C)))))))
% -> B
% Current number of equations to process: 2596
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [259]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(b1,
% inverse(b1)))))),A),
% inverse(multiply(B,A)))))) <->
% multiply(B,inverse(multiply(C,inverse(C))))
% Current number of equations to process: 2595
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [260]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(b1,
% inverse(b1)))))),A),
% inverse(multiply(B,A))))))
% Current number of equations to process: 2595
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [261]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(A,
% inverse(A)))))),B),
% inverse(multiply(C,B)))))) <->
% multiply(C,inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 2594
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [262]
% multiply(C,inverse(multiply(b1,inverse(b1)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(A,
% inverse(A)))))),B),
% inverse(multiply(C,B))))))
% Current number of equations to process: 2594
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [263]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(A,
% inverse(A)))))),B),
% inverse(multiply(C,B)))))) <->
% multiply(C,inverse(multiply(D,inverse(D))))
% Rule
% [259]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(b1,
% inverse(b1)))))),A),
% inverse(multiply(B,A)))))) <->
% multiply(B,inverse(multiply(C,inverse(C)))) collapsed.
% Rule
% [261]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(A,
% inverse(A)))))),B),
% inverse(multiply(C,B)))))) <->
% multiply(C,inverse(multiply(b1,inverse(b1)))) collapsed.
% Current number of equations to process: 2634
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [264]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(A,
% inverse(A)))))),B),
% inverse(multiply(C,B))))))
% Rule
% [260]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(b1,
% inverse(b1)))))),A),
% inverse(multiply(B,A)))))) collapsed.
% Rule
% [262]
% multiply(C,inverse(multiply(b1,inverse(b1)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(A,
% inverse(A)))))),B),
% inverse(multiply(C,B)))))) collapsed.
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 125
% Rule [241]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(D,inverse(D)))) is composed into
% [241]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(multiply(inverse(b1),
% inverse(inverse(inverse(
% multiply(b1,
% inverse(b1))))))))))
% Rule [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(b1,inverse(b1)))) is composed into
% [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(multiply(inverse(b1),
% inverse(inverse(inverse(
% multiply(b1,
% inverse(b1))))))))))
% Rule [181]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(b1,inverse(b1)))) is composed into
% [181]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))
% <->
% multiply(b1,inverse(multiply(inverse(A),inverse(multiply(inverse(b1),
% inverse(inverse(inverse(
% multiply(b1,
% inverse(b1))))))))))
% New rule produced :
% [265]
% multiply(inverse(B),inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),inverse(inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% Rule
% [182]
% multiply(inverse(inverse(A)),inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))
% collapsed.
% Rule
% [206]
% multiply(inverse(inverse(C)),inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% collapsed.
% Rule
% [217]
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(b1,
% inverse(b1))))) ->
% multiply(b1,inverse(b1)) collapsed.
% Rule
% [242]
% multiply(inverse(inverse(C)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% collapsed.
% Current number of equations to process: 2704
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [266]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),inverse(inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% <-> multiply(inverse(B),inverse(multiply(D,inverse(D))))
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [267]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(A),
% inverse(inverse(C)))))))
% Rule
% [171]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% collapsed.
% Current number of equations to process: 2711
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [268]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(A),
% inverse(inverse(C)))))))
% <-> multiply(C,inverse(multiply(D,inverse(D))))
% Rule
% [173]
% multiply(A,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% <-> multiply(B,inverse(multiply(C,inverse(C)))) collapsed.
% Current number of equations to process: 2711
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [269]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(inverse(
% inverse(
% inverse(B))),C),
% inverse(multiply(A,C))))))) ->
% inverse(inverse(B))
% Current number of equations to process: 2742
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [270]
% inverse(multiply(inverse(multiply(b1,inverse(b1))),inverse(A))) ->
% inverse(inverse(A))
% Current number of equations to process: 2775
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [271]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(b1,inverse(b1))),A),
% inverse(multiply(B,A)))))) -> inverse(inverse(B))
% Current number of equations to process: 2775
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [272]
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))))
% -> inverse(inverse(A))
% Current number of equations to process: 2774
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [273]
% inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(b1,
% inverse(b1))))),
% inverse(inverse(A))))))) ->
% inverse(inverse(A))
% Current number of equations to process: 2792
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [274]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(inverse(B),C),
% inverse(multiply(A,C))))))) -> B
% Rule
% [269]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(inverse(
% inverse(
% inverse(B))),C),
% inverse(multiply(A,C))))))) ->
% inverse(inverse(B)) collapsed.
% Current number of equations to process: 2804
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [275]
% inverse(inverse(inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(
% multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))))
% -> inverse(inverse(C))
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [276]
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% -> B
% Current number of equations to process: 2809
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [277]
% inverse(inverse(inverse(multiply(b1,inverse(b1))))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))))
% Current number of equations to process: 2812
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [278]
% inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))) <->
% inverse(inverse(inverse(multiply(b1,inverse(b1)))))
% Rule
% [229]
% inverse(inverse(inverse(inverse(inverse(multiply(b1,inverse(b1))))))) <->
% inverse(inverse(inverse(multiply(A,inverse(A))))) collapsed.
% Current number of equations to process: 2812
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [279]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(inverse(b1),
% multiply(b1,B)),
% inverse(multiply(A,multiply(C,B))))))))
% -> C
% Current number of equations to process: 2811
% Current number of ordered equations: 0
% Current number of rules: 132
% Rule [160]
% multiply(inverse(B),multiply(B,inverse(b1))) <->
% multiply(inverse(b1),multiply(A,inverse(A))) is composed into [160]
% multiply(
% inverse(B),
% multiply(B,
% inverse(b1)))
% ->
% inverse(
% inverse(
% inverse(b1)))
% New rule produced :
% [280]
% multiply(inverse(b1),multiply(A,inverse(A))) -> inverse(inverse(inverse(b1)))
% Rule
% [161]
% multiply(inverse(b1),multiply(A,inverse(A))) <->
% multiply(inverse(B),multiply(B,inverse(b1))) collapsed.
% Rule
% [166]
% multiply(inverse(inverse(A)),multiply(inverse(b1),multiply(B,inverse(B)))) ->
% multiply(inverse(b1),multiply(b1,multiply(A,inverse(b1)))) collapsed.
% Rule
% [201]
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(A,inverse(A)))),B),
% inverse(multiply(C,B)))) <->
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(C,
% inverse(b1)),
% inverse(b1)))))))
% collapsed.
% Rule
% [231]
% multiply(inverse(multiply(inverse(b1),multiply(A,inverse(A)))),inverse(b1))
% <-> inverse(inverse(inverse(multiply(B,inverse(B))))) collapsed.
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [281]
% inverse(inverse(inverse(multiply(multiply(inverse(b1),multiply(b1,A)),
% inverse(multiply(B,multiply(C,A))))))) <->
% multiply(B,multiply(C,inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 2833
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [282]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(b1),multiply(b1,A)),
% inverse(multiply(B,multiply(C,A)))))))
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [283]
% multiply(inverse(b1),multiply(b1,multiply(inverse(multiply(A,inverse(A))),B)))
% <->
% multiply(inverse(C),multiply(C,multiply(inverse(multiply(b1,inverse(b1))),B)))
% Current number of equations to process: 2850
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [284]
% multiply(inverse(C),multiply(C,multiply(inverse(multiply(b1,inverse(b1))),B)))
% <->
% multiply(inverse(b1),multiply(b1,multiply(inverse(multiply(A,inverse(A))),B)))
% Current number of equations to process: 2850
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [285]
% multiply(inverse(b1),multiply(b1,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <->
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(b1,inverse(b1)))),B)))
% Current number of equations to process: 2849
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [286]
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(b1,inverse(b1)))),B)))
% <->
% multiply(inverse(b1),multiply(b1,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% Current number of equations to process: 2849
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [287]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(inverse(
% inverse(
% multiply(B,
% inverse(B)))),C))
% <-> multiply(inverse(D),multiply(D,C))
% Rule
% [149]
% multiply(inverse(inverse(inverse(multiply(C,inverse(C))))),multiply(inverse(
% inverse(
% multiply(b1,
% inverse(b1)))),B))
% <-> multiply(inverse(A),multiply(A,B)) collapsed.
% Rule
% [152]
% multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),multiply(
% inverse(
% inverse(
% multiply(C,
% inverse(C)))),B))
% <-> multiply(inverse(A),multiply(A,B)) collapsed.
% Current number of equations to process: 2853
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [288]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),C),inverse(
% multiply(D,C)))))
% -> multiply(inverse(B),inverse(D))
% Current number of equations to process: 2910
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [289]
% multiply(multiply(inverse(B),C),inverse(multiply(A,C))) <->
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(inverse(B)))))
% Rule
% [246]
% inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C)))) <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(B))))))
% collapsed.
% Current number of equations to process: 2937
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [290]
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(inverse(B)))))
% <-> multiply(multiply(inverse(B),C),inverse(multiply(A,C)))
% Rule
% [247]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(B))))))
% <-> inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C))))
% collapsed.
% Current number of equations to process: 2937
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [291] inverse(inverse(multiply(A,inverse(multiply(b1,inverse(b1)))))) -> A
% Current number of equations to process: 2989
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [292]
% multiply(multiply(inverse(C),D),inverse(multiply(B,D))) <->
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(C,inverse(A)))))
% Current number of equations to process: 3003
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [293]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(C,inverse(A)))))
% <-> multiply(multiply(inverse(C),D),inverse(multiply(B,D)))
% Current number of equations to process: 3003
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [294]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(A)))),B),
% inverse(multiply(C,B)))))) <-> multiply(C,inverse(A))
% Current number of equations to process: 3002
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [295]
% multiply(C,inverse(A)) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(A)))),B),
% inverse(multiply(C,B))))))
% Current number of equations to process: 3002
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [296]
% multiply(multiply(inverse(D),V_4),inverse(multiply(C,V_4))) <->
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,multiply(D,B))))
% Rule
% [178]
% inverse(multiply(multiply(inverse(D),V_4),inverse(multiply(C,V_4)))) <->
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(D,B)))))
% collapsed.
% Current number of equations to process: 3001
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [297]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,multiply(D,B))))
% <-> multiply(multiply(inverse(D),V_4),inverse(multiply(C,V_4)))
% Rule
% [179]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(D,B)))))
% <-> inverse(multiply(multiply(inverse(D),V_4),inverse(multiply(C,V_4))))
% collapsed.
% Current number of equations to process: 3001
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [298]
% inverse(inverse(inverse(multiply(D,B)))) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(multiply(inverse(A),C),
% inverse(multiply(D,C))))
% Current number of equations to process: 2999
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [299]
% multiply(inverse(multiply(inverse(A),B)),multiply(multiply(inverse(A),C),
% inverse(multiply(D,C)))) <->
% inverse(inverse(inverse(multiply(D,B))))
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [300]
% multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(multiply(C,B)))
% <->
% multiply(multiply(inverse(multiply(D,inverse(D))),V_4),inverse(multiply(C,V_4)))
% Current number of equations to process: 2998
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [301]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))) <->
% multiply(multiply(inverse(A),multiply(B,inverse(C))),inverse(inverse(
% inverse(
% inverse(C)))))
% Current number of equations to process: 2996
% Current number of ordered equations: 1
% Current number of rules: 144
% Rule [301]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))) <->
% multiply(multiply(inverse(A),multiply(B,inverse(C))),inverse(inverse(
% inverse(
% inverse(C))))) is composed into
% [301]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))) <->
% multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1)))
% New rule produced :
% [302]
% multiply(multiply(inverse(A),multiply(B,inverse(C))),inverse(inverse(
% inverse(
% inverse(C)))))
% <-> multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D)))
% Current number of equations to process: 2996
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [303]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D))))))))
% <-> multiply(multiply(inverse(C),V_4),inverse(multiply(B,V_4)))
% Rule
% [186]
% inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D)))))))))
% <-> inverse(multiply(multiply(inverse(C),V_4),inverse(multiply(B,V_4))))
% collapsed.
% Current number of equations to process: 2998
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [304]
% multiply(multiply(inverse(C),V_4),inverse(multiply(B,V_4))) <->
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D))))))))
% Rule
% [185]
% inverse(multiply(multiply(inverse(C),V_4),inverse(multiply(B,V_4)))) <->
% inverse(multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D)))))))))
% collapsed.
% Current number of equations to process: 2998
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [305]
% multiply(inverse(A),multiply(A,multiply(B,inverse(B)))) ->
% multiply(b1,inverse(b1))
% Rule
% [221]
% inverse(multiply(inverse(b1),multiply(b1,multiply(A,inverse(A))))) <->
% inverse(multiply(B,inverse(B))) collapsed.
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [306]
% multiply(inverse(multiply(A,inverse(multiply(b1,inverse(b1))))),multiply(B,
% inverse(B)))
% -> inverse(A)
% Current number of equations to process: 3004
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [307]
% multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D))) <->
% multiply(inverse(inverse(inverse(inverse(A)))),inverse(multiply(B,multiply(C,
% inverse(C)))))
% Current number of equations to process: 3013
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [308]
% multiply(inverse(inverse(inverse(inverse(A)))),inverse(multiply(B,multiply(C,
% inverse(C)))))
% <-> multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D)))
% Current number of equations to process: 3013
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [309]
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) <->
% multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(inverse(D),
% multiply(D,C))))
% Current number of equations to process: 3019
% Current number of ordered equations: 1
% Current number of rules: 149
% Rule [309]
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) <->
% multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(inverse(D),
% multiply(D,C)))) is composed into
% [309]
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) <->
% multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1)))
% New rule produced :
% [310]
% multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(inverse(D),
% multiply(D,C)))) <->
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4)))
% Rule
% [190]
% inverse(multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(
% inverse(D),
% multiply(D,C)))))
% <->
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% collapsed.
% Current number of equations to process: 3019
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [311]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(inverse(inverse(A)),
% inverse(inverse(multiply(B,
% inverse(B))))))))
% -> inverse(inverse(A))
% Current number of equations to process: 3070
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [312]
% inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(A))))))
% -> multiply(C,inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 3078
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [313]
% multiply(multiply(inverse(A),multiply(B,inverse(B))),inverse(inverse(
% inverse(
% inverse(
% inverse(C))))))
% <-> multiply(multiply(inverse(A),D),inverse(multiply(inverse(inverse(C)),D)))
% Current number of equations to process: 3077
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [314]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(inverse(C)),D))) <->
% multiply(multiply(inverse(A),multiply(B,inverse(B))),inverse(inverse(
% inverse(
% inverse(
% inverse(C))))))
% Current number of equations to process: 3077
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [315]
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) <->
% multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C))
% Current number of equations to process: 3078
% Current number of ordered equations: 1
% Current number of rules: 154
% Rule [315]
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) <->
% multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C)) is composed into [315]
% multiply(multiply(inverse(A),V_4),inverse(
% multiply(
% inverse(B),V_4)))
% <->
% multiply(multiply(inverse(A),b1),inverse(
% multiply(
% inverse(B),b1)))
% New rule produced :
% [316]
% multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C)) <->
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4)))
% Rule
% [208]
% inverse(multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C))) <->
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% collapsed.
% Current number of equations to process: 3078
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [317]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,C)))
% <->
% multiply(multiply(inverse(multiply(inverse(D),multiply(D,C))),V_4),inverse(
% multiply(B,V_4)))
% Current number of equations to process: 3077
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [318]
% multiply(multiply(inverse(multiply(inverse(D),multiply(D,C))),V_4),inverse(
% multiply(B,V_4)))
% <->
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,C)))
% Current number of equations to process: 3077
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [319]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(A)))),B),inverse(
% multiply(
% inverse(
% inverse(C)),B))))
% <-> multiply(C,multiply(inverse(A),inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 3076
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [320]
% multiply(C,multiply(inverse(A),inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(A)))),B),inverse(
% multiply(
% inverse(
% inverse(C)),B))))
% Current number of equations to process: 3076
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [321]
% multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(
% inverse(
% inverse(C)),B))),
% inverse(inverse(C))) -> multiply(b1,inverse(b1))
% Current number of equations to process: 3075
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [322]
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))))) <->
% multiply(inverse(inverse(A)),B)
% Current number of equations to process: 3137
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [323]
% multiply(inverse(inverse(A)),B) <->
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))))
% Current number of equations to process: 3137
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [324]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(C,B)))))))) <->
% multiply(inverse(inverse(C)),A)
% Current number of equations to process: 3287
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [325]
% multiply(inverse(inverse(C)),A) <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(C,B))))))))
% Current number of equations to process: 3287
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [326]
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(inverse(B),multiply(B,C)))))
% <->
% multiply(inverse(D),multiply(D,multiply(A,multiply(inverse(V_4),multiply(V_4,C)))))
% Rule
% [183]
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(inverse(A),multiply(A,B)))))
% <->
% multiply(inverse(C),multiply(C,multiply(b1,multiply(inverse(D),multiply(D,B)))))
% collapsed.
% Current number of equations to process: 3429
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [327]
% multiply(inverse(D),multiply(D,multiply(A,multiply(inverse(V_4),multiply(V_4,C)))))
% <->
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(inverse(B),multiply(B,C)))))
% Rule
% [184]
% multiply(inverse(C),multiply(C,multiply(b1,multiply(inverse(D),multiply(D,B)))))
% <->
% multiply(inverse(b1),multiply(b1,multiply(b1,multiply(inverse(A),multiply(A,B)))))
% collapsed.
% Current number of equations to process: 3429
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [328]
% multiply(inverse(A),multiply(A,multiply(B,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,D)))))) <->
% multiply(inverse(inverse(B)),multiply(inverse(C),inverse(V_4)))
% Current number of equations to process: 3431
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [329]
% multiply(inverse(inverse(B)),multiply(inverse(C),inverse(V_4))) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,D))))))
% Current number of equations to process: 3431
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [330]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(
% inverse(inverse(C)),
% multiply(
% multiply(D,
% inverse(D)),B)))))
% -> inverse(inverse(C))
% Current number of equations to process: 3430
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [331]
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))))
% -> multiply(A,C)
% Current number of equations to process: 3429
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [332]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(inverse(
% inverse(
% inverse(
% multiply(A,
% inverse(A)))))),B),
% inverse(multiply(C,B)))))))) -> C
% Current number of equations to process: 3428
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [333]
% multiply(A,multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(A),C)))))))))
% -> C
% Rule
% [187]
% multiply(A,multiply(A,inverse(multiply(multiply(b1,inverse(b1)),inverse(
% multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(A),C)))))))))
% -> C collapsed.
% Current number of equations to process: 3473
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [334]
% multiply(b1,inverse(multiply(inverse(inverse(b1)),inverse(multiply(inverse(b1),
% inverse(inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))))
% -> inverse(b1)
% Current number of equations to process: 3476
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [335]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(A),
% inverse(inverse(
% multiply(
% inverse(A),
% multiply(A,C)))))))))
% -> C
% Rule
% [188]
% multiply(A,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(A),
% multiply(A,B)))))))))
% -> B collapsed.
% Current number of equations to process: 3478
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [336]
% multiply(multiply(multiply(A,inverse(multiply(b1,inverse(b1)))),D),inverse(
% multiply(C,D)))
% <->
% multiply(multiply(multiply(A,inverse(multiply(b1,inverse(b1)))),B),inverse(
% multiply(C,B)))
% Current number of equations to process: 3490
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [337]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(
% inverse(C),
% multiply(
% inverse(inverse(
% inverse(
% inverse(C)))),B)))))
% -> multiply(b1,inverse(b1))
% Current number of equations to process: 3489
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [338]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(C),V_4),
% inverse(multiply(B,V_4)))))))) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% Current number of equations to process: 3488
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [339]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(C),V_4),
% inverse(multiply(B,V_4))))))))
% Current number of equations to process: 3488
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [340]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(multiply(C,
% inverse(C))),B))))
% <->
% inverse(multiply(multiply(inverse(A),b1),inverse(multiply(inverse(multiply(D,
% inverse(D))),b1))))
% Current number of equations to process: 3487
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [341]
% inverse(multiply(multiply(inverse(A),b1),inverse(multiply(inverse(multiply(D,
% inverse(D))),b1))))
% <->
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(multiply(C,
% inverse(C))),B))))
% Current number of equations to process: 3487
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [342]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(A,inverse(
% inverse(B)))))))))
% -> B
% Current number of equations to process: 3580
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [343]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(B,inverse(B)),
% inverse(multiply(A,inverse(
% inverse(C)))))))))
% -> C
% Rule
% [342]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(A,inverse(
% inverse(B)))))))))
% -> B collapsed.
% Current number of equations to process: 3583
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [344]
% multiply(b1,inverse(multiply(multiply(A,inverse(A)),inverse(multiply(
% inverse(b1),
% inverse(inverse(
% multiply(
% inverse(B),
% multiply(B,C)))))))))
% -> C
% Rule
% [192]
% multiply(b1,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(b1),
% inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,A)))))))))
% -> A collapsed.
% Current number of equations to process: 3608
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [345]
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(multiply(b1,
% inverse(b1)),
% multiply(A,inverse(
% multiply(C,
% inverse(C)))))))))))
% -> inverse(inverse(B))
% Current number of equations to process: 3620
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [346]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(inverse(inverse(A))),inverse(multiply(multiply(inverse(
% multiply(b1,
% inverse(b1))),B),
% inverse(multiply(A,B)))))
% Current number of equations to process: 3619
% Current number of ordered equations: 1
% Current number of rules: 178
% Rule [346]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(inverse(inverse(A))),inverse(multiply(multiply(
% inverse(multiply(b1,
% inverse(b1))),B),
% inverse(multiply(A,B))))) is composed into
% [346]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(b1,inverse(b1)))))
% New rule produced :
% [347]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(multiply(inverse(
% multiply(b1,
% inverse(b1))),B),
% inverse(multiply(A,B))))) <->
% inverse(inverse(inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 3619
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [348]
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(
% inverse(b1),
% multiply(b1,A)),
% inverse(b1)))))))
% -> A
% Current number of equations to process: 3618
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [349]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(B),
% inverse(D))),V_4),inverse(
% multiply(A,V_4))))))
% <-> multiply(A,multiply(multiply(inverse(B),C),inverse(multiply(D,C))))
% Current number of equations to process: 3617
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [350]
% multiply(A,multiply(multiply(inverse(B),C),inverse(multiply(D,C)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(B),
% inverse(D))),V_4),inverse(
% multiply(A,V_4))))))
% Current number of equations to process: 3617
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [351]
% multiply(multiply(inverse(A),B),inverse(inverse(inverse(inverse(multiply(C,
% inverse(C)))))))
% <->
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(multiply(inverse(V_4),
% multiply(V_4,B))),D)))
% Current number of equations to process: 3616
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [352]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(multiply(inverse(V_4),
% multiply(V_4,B))),D)))
% <->
% multiply(multiply(inverse(A),B),inverse(inverse(inverse(inverse(multiply(C,
% inverse(C)))))))
% Current number of equations to process: 3616
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [353]
% multiply(multiply(inverse(A),D),inverse(multiply(B,D))) <->
% multiply(multiply(inverse(A),inverse(multiply(b1,inverse(b1)))),inverse(
% multiply(B,
% inverse(
% multiply(C,
% inverse(C))))))
% Current number of equations to process: 3614
% Current number of ordered equations: 3
% Current number of rules: 185
% New rule produced :
% [354]
% multiply(multiply(inverse(A),D),inverse(multiply(C,D))) <->
% multiply(multiply(inverse(A),inverse(multiply(B,inverse(B)))),inverse(
% multiply(C,
% inverse(
% multiply(b1,
% inverse(b1))))))
% Current number of equations to process: 3614
% Current number of ordered equations: 2
% Current number of rules: 186
% Rule [354]
% multiply(multiply(inverse(A),D),inverse(multiply(C,D))) <->
% multiply(multiply(inverse(A),inverse(multiply(B,inverse(B)))),inverse(
% multiply(C,
% inverse(
% multiply(b1,
% inverse(b1)))))) is composed into
% [354]
% multiply(multiply(inverse(A),D),inverse(multiply(C,D))) <->
% multiply(multiply(inverse(A),b1),inverse(multiply(C,b1)))
% New rule produced :
% [355]
% multiply(multiply(inverse(A),inverse(multiply(B,inverse(B)))),inverse(
% multiply(C,
% inverse(
% multiply(b1,
% inverse(b1))))))
% <-> multiply(multiply(inverse(A),D),inverse(multiply(C,D)))
% Current number of equations to process: 3614
% Current number of ordered equations: 1
% Current number of rules: 187
% Rule [353]
% multiply(multiply(inverse(A),D),inverse(multiply(B,D))) <->
% multiply(multiply(inverse(A),inverse(multiply(b1,inverse(b1)))),
% inverse(multiply(B,inverse(multiply(C,inverse(C)))))) is composed into
% [353]
% multiply(multiply(inverse(A),D),inverse(multiply(B,D))) <->
% multiply(multiply(inverse(A),b1),inverse(multiply(B,b1)))
% New rule produced :
% [356]
% multiply(multiply(inverse(A),inverse(multiply(b1,inverse(b1)))),inverse(
% multiply(B,
% inverse(
% multiply(C,
% inverse(C))))))
% <-> multiply(multiply(inverse(A),D),inverse(multiply(B,D)))
% Current number of equations to process: 3614
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [357]
% inverse(multiply(A,inverse(multiply(inverse(inverse(B)),multiply(multiply(C,
% inverse(C)),
% multiply(A,inverse(
% multiply(D,
% inverse(D)))))))))
% -> inverse(inverse(B))
% Current number of equations to process: 3613
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [358]
% multiply(multiply(inverse(A),D),inverse(multiply(multiply(inverse(multiply(V_4,
% inverse(V_4))),C),D)))
% <->
% multiply(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),C))),
% inverse(inverse(B)))
% Current number of equations to process: 3612
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [359]
% multiply(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),C))),
% inverse(inverse(B))) <->
% multiply(multiply(inverse(A),D),inverse(multiply(multiply(inverse(multiply(V_4,
% inverse(V_4))),C),D)))
% Current number of equations to process: 3612
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [360]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(inverse(A)),B)),C),
% inverse(multiply(D,C)))))) <->
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4))))))
% Current number of equations to process: 3609
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [361]
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4)))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(inverse(A)),B)),C),
% inverse(multiply(D,C))))))
% Current number of equations to process: 3609
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [362]
% inverse(inverse(multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),
% inverse(multiply(inverse(b1),multiply(
% multiply(A,B),
% inverse(b1)))))))))
% -> multiply(A,B)
% Current number of equations to process: 3608
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [363]
% inverse(multiply(A,inverse(A))) <->
% multiply(b1,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(b1),
% inverse(
% inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))))
% Current number of equations to process: 3607
% Current number of ordered equations: 1
% Current number of rules: 195
% Rule [363]
% inverse(multiply(A,inverse(A))) <->
% multiply(b1,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(b1),
% inverse(
% inverse(
% inverse(
% multiply(b1,
% inverse(b1)))))))))) is composed into
% [363] inverse(multiply(A,inverse(A))) <-> inverse(multiply(b1,inverse(b1)))
% New rule produced :
% [364]
% multiply(b1,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(b1),
% inverse(
% inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))))
% <-> inverse(multiply(A,inverse(A)))
% Current number of equations to process: 3607
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [365]
% multiply(inverse(A),multiply(A,multiply(multiply(B,inverse(B)),multiply(C,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(V_4,inverse(V_4)))),C)
% Rule
% [194]
% multiply(inverse(C),multiply(C,multiply(multiply(b1,inverse(b1)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B) collapsed.
% Rule
% [195]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(b1,inverse(b1)))),A) collapsed.
% Rule
% [237]
% multiply(inverse(b1),multiply(b1,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B) collapsed.
% Current number of equations to process: 3675
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(
% multiply(C,
% multiply(
% multiply(D,
% inverse(D)),B)))))))
% -> inverse(inverse(C))
% Rule
% [275]
% inverse(inverse(inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(
% multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))))
% -> inverse(inverse(C)) collapsed.
% Current number of equations to process: 3777
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [367]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B))) ->
% inverse(inverse(B))
% Rule
% [270]
% inverse(multiply(inverse(multiply(b1,inverse(b1))),inverse(A))) ->
% inverse(inverse(A)) collapsed.
% Current number of equations to process: 3783
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [368]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),
% inverse(multiply(C,B)))))) -> inverse(inverse(C))
% Rule
% [271]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(b1,inverse(b1))),A),
% inverse(multiply(B,A)))))) -> inverse(inverse(B))
% collapsed.
% Current number of equations to process: 3782
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [369]
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))))
% -> inverse(inverse(A))
% Rule
% [272]
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))))
% -> inverse(inverse(A)) collapsed.
% Current number of equations to process: 3781
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [370]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(B)))
% <-> multiply(B,inverse(multiply(b1,inverse(b1))))
% Rule
% [250]
% inverse(multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),
% inverse(A))) <-> multiply(A,inverse(multiply(b1,inverse(b1))))
% collapsed.
% Current number of equations to process: 3812
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [371]
% multiply(B,inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(B)))
% Rule
% [251]
% multiply(A,inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),
% inverse(A))) collapsed.
% Current number of equations to process: 3812
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [372]
% inverse(multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),
% inverse(A))) <-> multiply(A,inverse(multiply(B,inverse(B))))
% Current number of equations to process: 3829
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),
% inverse(A)))
% Current number of equations to process: 3829
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [374]
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(b1,
% inverse(b1))))),
% inverse(A))))) -> A
% Rule
% [273]
% inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(b1,
% inverse(b1))))),
% inverse(inverse(A))))))) ->
% inverse(inverse(A)) collapsed.
% Current number of equations to process: 3838
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [375]
% multiply(inverse(A),inverse(multiply(inverse(inverse(inverse(multiply(b1,
% inverse(b1))))),
% inverse(A)))) ->
% inverse(inverse(inverse(multiply(b1,inverse(b1)))))
% Current number of equations to process: 3842
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [376]
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C))))))
% <->
% multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),
% inverse(B))))
% Current number of equations to process: 3841
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [377]
% multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),
% inverse(B)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C))))))
% Current number of equations to process: 3841
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [378]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(inverse(
% inverse(
% multiply(b1,
% inverse(b1))))),
% inverse(C)))))) <->
% multiply(inverse(inverse(B)),C)
% Current number of equations to process: 3853
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(inverse(
% inverse(
% multiply(b1,
% inverse(b1))))),
% inverse(C))))))
% Current number of equations to process: 3853
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [380]
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(multiply(C,
% inverse(C)),
% multiply(A,inverse(
% multiply(D,
% inverse(D)))))))))))
% -> inverse(inverse(B))
% Rule
% [345]
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(multiply(b1,
% inverse(b1)),
% multiply(A,inverse(
% multiply(C,
% inverse(C)))))))))))
% -> inverse(inverse(B)) collapsed.
% Current number of equations to process: 3866
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [381]
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(B))))))))
% <-> multiply(A,multiply(B,inverse(multiply(b1,inverse(b1)))))
% Current number of equations to process: 4050
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [382]
% multiply(A,multiply(B,inverse(multiply(b1,inverse(b1))))) <->
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(B))))))))
% Current number of equations to process: 4050
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [383]
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(B))))))))
% <-> multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))
% Rule
% [381]
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(B))))))))
% <-> multiply(A,multiply(B,inverse(multiply(b1,inverse(b1))))) collapsed.
% Current number of equations to process: 4051
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [384]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(B))))))))
% Rule
% [382]
% multiply(A,multiply(B,inverse(multiply(b1,inverse(b1))))) <->
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(B))))))))
% collapsed.
% Current number of equations to process: 4051
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [385]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(A,inverse(inverse(B))))))))))
% <-> multiply(inverse(inverse(A)),B)
% Current number of equations to process: 4063
% Current number of ordered equations: 1
% Current number of rules: 204
% Rule [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(
% inverse(
% inverse(
% multiply(b1,
% inverse(b1))))),
% inverse(C)))))) is composed into
% [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(C)))))))))))))))
% Rule [376]
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(
% multiply(A,C))))))
% <->
% multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(b1,
% inverse(b1))))),
% inverse(B)))) is composed into [376]
% inverse(inverse(
% inverse(
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(A,C))))))
% <->
% multiply(A,inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(B)))))))))))))
% Rule [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),
% inverse(A))) is composed into [373]
% multiply(A,inverse(multiply(B,
% inverse(B))))
% <->
% inverse(inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(A))))))))))))
% Rule [285]
% multiply(inverse(b1),multiply(b1,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <->
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(b1,
% inverse(b1)))),B))) is composed into
% [285]
% multiply(inverse(b1),multiply(b1,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <->
% multiply(inverse(C),multiply(C,inverse(inverse(inverse(inverse(inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% inverse(B))))))))))))
% New rule produced :
% [386]
% multiply(inverse(inverse(A)),B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(A,inverse(inverse(B))))))))))
% Rule
% [196]
% multiply(inverse(inverse(multiply(b1,inverse(b1)))),A) <->
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% collapsed.
% Rule
% [286]
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(b1,inverse(b1)))),B)))
% <->
% multiply(inverse(b1),multiply(b1,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% collapsed.
% Rule
% [372]
% inverse(multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),
% inverse(A))) <-> multiply(A,inverse(multiply(B,inverse(B))))
% collapsed.
% Rule
% [374]
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(b1,
% inverse(b1))))),
% inverse(A))))) -> A collapsed.
% Rule
% [375]
% multiply(inverse(A),inverse(multiply(inverse(inverse(inverse(multiply(b1,
% inverse(b1))))),
% inverse(A)))) ->
% inverse(inverse(inverse(multiply(b1,inverse(b1))))) collapsed.
% Rule
% [377]
% multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(b1,inverse(b1))))),
% inverse(B)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C))))))
% collapsed.
% Rule
% [378]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(inverse(
% inverse(
% multiply(b1,
% inverse(b1))))),
% inverse(C)))))) <->
% multiply(inverse(inverse(B)),C) collapsed.
% Current number of equations to process: 4070
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [387]
% inverse(inverse(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,
% inverse(
% inverse(C))))))))
% <-> multiply(B,multiply(C,inverse(multiply(D,inverse(D)))))
% Rule
% [383]
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(B))))))))
% <-> multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) collapsed.
% Current number of equations to process: 4082
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [388]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,
% inverse(
% inverse(C))))))))
% Rule
% [384]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(B))))))))
% collapsed.
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [389]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(
% multiply(
% inverse(B),C)))))))
% <-> multiply(C,inverse(multiply(b1,inverse(b1))))
% Current number of equations to process: 4207
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [390]
% multiply(C,inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(
% multiply(
% inverse(B),C)))))))
% Current number of equations to process: 4207
% Current number of ordered equations: 0
% Current number of rules: 200
% Rule [314]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(inverse(C)),D)))
% <->
% multiply(multiply(inverse(A),multiply(B,inverse(B))),inverse(inverse(
% inverse(
% inverse(
% inverse(C)))))) is composed into
% [314]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(inverse(C)),D))) ->
% multiply(inverse(inverse(inverse(A))),inverse(inverse(inverse(inverse(
% inverse(C))))))
% Rule [307]
% multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D))) <->
% multiply(inverse(inverse(inverse(inverse(A)))),inverse(multiply(B,
% multiply(C,
% inverse(C))))) is composed into
% [307]
% multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D))) ->
% multiply(inverse(inverse(inverse(inverse(A)))),inverse(inverse(inverse(B))))
% New rule produced :
% [391] multiply(A,multiply(B,inverse(B))) -> inverse(inverse(A))
% Rule
% [164]
% multiply(inverse(inverse(B)),multiply(C,inverse(C))) <->
% multiply(inverse(A),multiply(A,inverse(inverse(B)))) collapsed.
% Rule [218] multiply(A,multiply(b1,inverse(b1))) -> inverse(inverse(A))
% collapsed.
% Rule
% [256]
% multiply(A,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(A),
% multiply(B,
% inverse(B)))))))
% <-> multiply(b1,inverse(multiply(C,inverse(C)))) collapsed.
% Rule
% [280]
% multiply(inverse(b1),multiply(A,inverse(A))) -> inverse(inverse(inverse(b1)))
% collapsed.
% Rule
% [305]
% multiply(inverse(A),multiply(A,multiply(B,inverse(B)))) ->
% multiply(b1,inverse(b1)) collapsed.
% Rule
% [306]
% multiply(inverse(multiply(A,inverse(multiply(b1,inverse(b1))))),multiply(B,
% inverse(B)))
% -> inverse(A) collapsed.
% Rule
% [308]
% multiply(inverse(inverse(inverse(inverse(A)))),inverse(multiply(B,multiply(C,
% inverse(C)))))
% <-> multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D)))
% collapsed.
% Rule
% [313]
% multiply(multiply(inverse(A),multiply(B,inverse(B))),inverse(inverse(
% inverse(
% inverse(
% inverse(C))))))
% <-> multiply(multiply(inverse(A),D),inverse(multiply(inverse(inverse(C)),D)))
% collapsed.
% Current number of equations to process: 4275
% Current number of ordered equations: 0
% Current number of rules: 193
% Rule [346]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(b1,inverse(b1))))) is composed into
% [346]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(b1,inverse(b1)))
% Rule [278]
% inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))) <->
% inverse(inverse(inverse(multiply(b1,inverse(b1))))) is composed into
% [278]
% inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))) <->
% inverse(multiply(b1,inverse(b1)))
% Rule [241]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(multiply(inverse(b1),
% inverse(inverse(
% inverse(
% multiply(b1,
% inverse(b1)))))))))) is composed into
% [241]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(multiply(inverse(b1),
% inverse(multiply(b1,inverse(b1))))))))
% Rule [232]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(b1,inverse(b1))))) is composed into
% [232]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(b1,inverse(b1)))
% Rule [230]
% inverse(inverse(inverse(multiply(B,inverse(B))))) <->
% inverse(inverse(inverse(multiply(b1,inverse(b1))))) is composed into
% [230]
% inverse(inverse(inverse(multiply(B,inverse(B))))) <->
% inverse(multiply(b1,inverse(b1)))
% Rule [228]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(inverse(inverse(multiply(b1,inverse(b1))))) is composed into
% [228]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(multiply(b1,inverse(b1)))
% Rule [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(multiply(inverse(b1),
% inverse(inverse(
% inverse(
% multiply(b1,
% inverse(b1)))))))))) is composed into
% [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(multiply(inverse(b1),
% inverse(multiply(b1,inverse(b1))))))))
% Rule [181]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))
% <->
% multiply(b1,inverse(multiply(inverse(A),inverse(multiply(inverse(b1),
% inverse(inverse(
% inverse(
% multiply(b1,
% inverse(b1)))))))))) is composed into
% [181]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))
% <->
% multiply(b1,inverse(multiply(inverse(A),inverse(multiply(inverse(b1),
% inverse(multiply(b1,inverse(b1))))))))
% New rule produced :
% [392]
% inverse(inverse(inverse(multiply(b1,inverse(b1))))) ->
% inverse(multiply(b1,inverse(b1)))
% Rule
% [277]
% inverse(inverse(inverse(multiply(b1,inverse(b1))))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))))
% collapsed.
% Rule
% [334]
% multiply(b1,inverse(multiply(inverse(inverse(b1)),inverse(multiply(inverse(b1),
% inverse(inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))))
% -> inverse(b1) collapsed.
% Rule
% [364]
% multiply(b1,inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(b1),
% inverse(
% inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))))
% <-> inverse(multiply(A,inverse(A))) collapsed.
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [393]
% multiply(b1,inverse(multiply(inverse(inverse(b1)),inverse(multiply(inverse(b1),
% inverse(multiply(b1,
% inverse(b1))))))))
% -> inverse(b1)
% Current number of equations to process: 4309
% Current number of ordered equations: 0
% Current number of rules: 192
% Rule [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(C))))))))))))))) is composed into
% [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(multiply(multiply(b1,
% inverse(b1)),
% inverse(multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(C)))))))))))
% Rule [376]
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(
% multiply(A,C))))))
% <->
% multiply(A,inverse(inverse(inverse(inverse(inverse(inverse(multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(B))))))))))))) is composed into
% [376]
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C))))))
% <->
% multiply(A,inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(
% multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(B)))))))))
% Rule [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(b1,
% inverse(b1)),
% inverse(multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(A)))))))))))) is composed into
% [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(inverse(
% multiply(b1,
% inverse(b1))),
% inverse(inverse(
% inverse(A))))))))
% New rule produced :
% [394]
% inverse(inverse(inverse(inverse(inverse(inverse(A)))))) ->
% inverse(inverse(A))
% Current number of equations to process: 4315
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [395]
% inverse(inverse(multiply(b1,inverse(b1)))) ->
% inverse(multiply(b1,inverse(b1)))
% Rule
% [181]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(b1,
% inverse(b1))))))))
% <->
% multiply(b1,inverse(multiply(inverse(A),inverse(multiply(inverse(b1),
% inverse(multiply(b1,inverse(b1))))))))
% collapsed.
% Rule
% [392]
% inverse(inverse(inverse(multiply(b1,inverse(b1))))) ->
% inverse(multiply(b1,inverse(b1))) collapsed.
% Current number of equations to process: 4322
% Current number of ordered equations: 0
% Current number of rules: 192
% Rule [389]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(
% inverse(
% multiply(
% inverse(B),C)))))))
% <-> multiply(C,inverse(multiply(b1,inverse(b1)))) is composed into
% [389]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(
% multiply(
% inverse(B),C)))))))
% -> inverse(inverse(C))
% Rule [370]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),
% inverse(B))) <-> multiply(B,inverse(multiply(b1,inverse(b1)))) is composed into
% [370]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(B)))
% -> inverse(inverse(B))
% Rule [312]
% inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(B,
% multiply(multiply(
% inverse(B),C),
% inverse(A)))))) ->
% multiply(C,inverse(multiply(b1,inverse(b1)))) is composed into [312]
% inverse(
% multiply(
% inverse(
% inverse(
% inverse(A))),
% inverse(
% multiply(B,
% multiply(
% multiply(
% inverse(B),C),
% inverse(A))))))
% ->
% inverse(
% inverse(C))
% Rule [252]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(B,inverse(multiply(b1,inverse(b1)))) is composed into [252]
% multiply(B,
% inverse(
% multiply(C,
% inverse(C))))
% ->
% inverse(
% inverse(B))
% Rule [241]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(multiply(inverse(b1),
% inverse(multiply(b1,
% inverse(b1)))))))) is composed into
% [241]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(inverse(inverse(inverse(b1)))))))
% Rule [213]
% inverse(multiply(A,inverse(multiply(B,multiply(inverse(b1),multiply(b1,
% inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% inverse(A))))))))))))
% -> multiply(C,inverse(multiply(b1,inverse(b1)))) is composed into
% [213]
% inverse(multiply(A,inverse(multiply(B,multiply(inverse(b1),multiply(b1,
% inverse(multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% inverse(A))))))))))))
% -> inverse(inverse(C))
% Rule [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(multiply(inverse(b1),
% inverse(multiply(b1,
% inverse(b1)))))))) is composed into
% [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(inverse(inverse(inverse(b1)))))))
% Rule [172]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(B,inverse(multiply(b1,inverse(b1)))) is composed into [172]
% multiply(B,
% inverse(
% multiply(C,
% inverse(C))))
% ->
% inverse(
% inverse(B))
% Rule [137]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(B,inverse(multiply(b1,inverse(b1)))) is composed into [137]
% multiply(B,
% inverse(
% multiply(V_4,
% inverse(V_4))))
% ->
% inverse(
% inverse(B))
% Rule [132]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(B,inverse(multiply(b1,inverse(b1)))) is composed into [132]
% multiply(B,
% inverse(
% multiply(V_4,
% inverse(V_4))))
% ->
% inverse(
% inverse(B))
% Rule [111]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(
% inverse(C),D),B)))))
% -> multiply(D,inverse(multiply(b1,inverse(b1)))) is composed into
% [111]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(
% inverse(C),D),B)))))
% -> inverse(inverse(D))
% Rule [48]
% multiply(inverse(inverse(A)),B) <->
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(B,inverse(multiply(b1,
% inverse(b1))))))) is composed into
% [48]
% multiply(inverse(inverse(A)),B) ->
% multiply(inverse(b1),multiply(b1,multiply(A,inverse(inverse(B)))))
% New rule produced :
% [396] multiply(A,inverse(multiply(b1,inverse(b1)))) -> inverse(inverse(A))
% Rule
% [203]
% inverse(multiply(multiply(inverse(A),multiply(A,inverse(multiply(b1,inverse(b1))))),
% inverse(B))) <-> multiply(B,inverse(multiply(b1,inverse(b1))))
% collapsed.
% Rule
% [204]
% multiply(B,inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(inverse(A),multiply(A,inverse(multiply(b1,inverse(b1))))),
% inverse(B))) collapsed.
% Rule
% [291] inverse(inverse(multiply(A,inverse(multiply(b1,inverse(b1)))))) -> A
% collapsed.
% Rule
% [336]
% multiply(multiply(multiply(A,inverse(multiply(b1,inverse(b1)))),D),inverse(
% multiply(C,D)))
% <->
% multiply(multiply(multiply(A,inverse(multiply(b1,inverse(b1)))),B),inverse(
% multiply(C,B)))
% collapsed.
% Rule
% [355]
% multiply(multiply(inverse(A),inverse(multiply(B,inverse(B)))),inverse(
% multiply(C,
% inverse(
% multiply(b1,
% inverse(b1))))))
% <-> multiply(multiply(inverse(A),D),inverse(multiply(C,D))) collapsed.
% Rule
% [356]
% multiply(multiply(inverse(A),inverse(multiply(b1,inverse(b1)))),inverse(
% multiply(B,
% inverse(
% multiply(C,
% inverse(C))))))
% <-> multiply(multiply(inverse(A),D),inverse(multiply(B,D))) collapsed.
% Rule
% [371]
% multiply(B,inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(B)))
% collapsed.
% Rule
% [390]
% multiply(C,inverse(multiply(b1,inverse(b1)))) <->
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(
% multiply(
% inverse(B),C)))))))
% collapsed.
% Rule
% [393]
% multiply(b1,inverse(multiply(inverse(inverse(b1)),inverse(multiply(inverse(b1),
% inverse(multiply(b1,
% inverse(b1))))))))
% -> inverse(b1) collapsed.
% Current number of equations to process: 4330
% Current number of ordered equations: 0
% Current number of rules: 184
% Rule [386]
% multiply(inverse(inverse(A)),B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(A,inverse(
% inverse(B)))))))))) is composed into
% [386]
% multiply(inverse(inverse(A)),B) <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(B))))))
% Rule [352]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(multiply(
% inverse(V_4),
% multiply(V_4,B))),D)))
% <->
% multiply(multiply(inverse(A),B),inverse(inverse(inverse(inverse(
% multiply(C,
% inverse(C))))))) is composed into
% [352]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(multiply(inverse(V_4),
% multiply(V_4,B))),D)))
% <-> multiply(multiply(inverse(A),B),multiply(C,inverse(C)))
% Rule [339]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(C),V_4),
% inverse(multiply(B,V_4)))))))) is composed into
% [339]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% <-> inverse(multiply(multiply(inverse(C),V_4),inverse(multiply(B,V_4))))
% Rule [325]
% multiply(inverse(inverse(C)),A) <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(C,B)))))))) is composed into
% [325]
% multiply(inverse(inverse(C)),A) <->
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B))))
% Rule [320]
% multiply(C,multiply(inverse(A),inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(A)))),B),
% inverse(multiply(inverse(inverse(C)),B)))) is composed into
% [320]
% multiply(C,multiply(inverse(A),inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(A,B),inverse(multiply(inverse(inverse(C)),B))))
% Rule [314]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(inverse(C)),D)))
% ->
% multiply(inverse(inverse(inverse(A))),inverse(inverse(inverse(inverse(
% inverse(C)))))) is composed into
% [314]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(inverse(C)),D))) ->
% multiply(inverse(inverse(inverse(A))),inverse(C))
% Rule [307]
% multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D))) ->
% multiply(inverse(inverse(inverse(inverse(A)))),inverse(inverse(inverse(B)))) is composed into
% [307]
% multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D))) ->
% multiply(A,inverse(inverse(inverse(B))))
% Rule [295]
% multiply(C,inverse(A)) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(
% inverse(A)))),B),
% inverse(multiply(C,B)))))) is composed into
% [295]
% multiply(C,inverse(A)) <->
% inverse(inverse(inverse(multiply(multiply(A,B),inverse(multiply(C,B))))))
% Rule [285]
% multiply(inverse(b1),multiply(b1,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <->
% multiply(inverse(C),multiply(C,inverse(inverse(inverse(inverse(inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% inverse(B)))))))))))) is composed into
% [285]
% multiply(inverse(b1),multiply(b1,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <->
% multiply(inverse(C),multiply(C,inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(multiply(b1,inverse(b1)),
% inverse(inverse(B))))))))
% Rule [264]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(
% inverse(
% multiply(A,
% inverse(A)))))),B),
% inverse(multiply(C,B)))))) is composed into
% [264]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% inverse(inverse(inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(
% multiply(C,B))))))
% Rule [241]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(inverse(inverse(
% inverse(b1))))))) is composed into
% [241]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <-> multiply(b1,inverse(multiply(inverse(C),b1)))
% Rule [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% <->
% multiply(b1,inverse(multiply(inverse(C),inverse(inverse(inverse(
% inverse(b1))))))) is composed into
% [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% <-> multiply(b1,inverse(multiply(inverse(C),b1)))
% New rule produced : [397] inverse(inverse(inverse(inverse(A)))) -> A
% Rule
% [245]
% inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(b1)))),A),
% inverse(multiply(inverse(B),A))))) ->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(b1,inverse(
% inverse(B))))))
% collapsed.
% Rule
% [263]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(A,
% inverse(A)))))),B),
% inverse(multiply(C,B)))))) <->
% multiply(C,inverse(multiply(D,inverse(D)))) collapsed.
% Rule
% [278]
% inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))) <->
% inverse(multiply(b1,inverse(b1))) collapsed.
% Rule
% [294]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(A)))),B),
% inverse(multiply(C,B)))))) <-> multiply(C,inverse(A))
% collapsed.
% Rule
% [302]
% multiply(multiply(inverse(A),multiply(B,inverse(C))),inverse(inverse(
% inverse(
% inverse(C)))))
% <-> multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D)))
% collapsed.
% Rule
% [319]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(A)))),B),inverse(
% multiply(
% inverse(
% inverse(C)),B))))
% <-> multiply(C,multiply(inverse(A),inverse(multiply(D,inverse(D)))))
% collapsed.
% Rule
% [324]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(C,B)))))))) <->
% multiply(inverse(inverse(C)),A) collapsed.
% Rule
% [332]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(inverse(
% inverse(
% inverse(
% multiply(A,
% inverse(A)))))),B),
% inverse(multiply(C,B)))))))) -> C
% collapsed.
% Rule
% [337]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(
% inverse(C),
% multiply(
% inverse(inverse(
% inverse(
% inverse(C)))),B)))))
% -> multiply(b1,inverse(b1)) collapsed.
% Rule
% [338]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(C),V_4),
% inverse(multiply(B,V_4)))))))) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% collapsed.
% Rule
% [351]
% multiply(multiply(inverse(A),B),inverse(inverse(inverse(inverse(multiply(C,
% inverse(C)))))))
% <->
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(multiply(inverse(V_4),
% multiply(V_4,B))),D)))
% collapsed.
% Rule
% [385]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(A,inverse(inverse(B))))))))))
% <-> multiply(inverse(inverse(A)),B) collapsed.
% Rule
% [394]
% inverse(inverse(inverse(inverse(inverse(inverse(A)))))) ->
% inverse(inverse(A)) collapsed.
% Current number of equations to process: 4340
% Current number of ordered equations: 0
% Current number of rules: 172
% Rule [386]
% multiply(inverse(inverse(A)),B) <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(B)))))) is composed into
% [386]
% multiply(inverse(inverse(A)),B) ->
% inverse(inverse(multiply(A,inverse(inverse(B)))))
% Rule [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(C))))))))))) is composed into
% [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(C))))))))))
% Rule [376]
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(
% multiply(A,C))))))
% <->
% multiply(A,inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(
% multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(B))))))))) is composed into
% [376]
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C))))))
% <->
% multiply(A,inverse(inverse(inverse(multiply(inverse(multiply(b1,inverse(b1))),
% inverse(inverse(inverse(B))))))))
% Rule [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(A)))))))) is composed into
% [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(inverse(multiply(inverse(multiply(b1,inverse(b1))),inverse(
% inverse(
% inverse(A)))))))
% Rule [285]
% multiply(inverse(b1),multiply(b1,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <->
% multiply(inverse(C),multiply(C,inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(multiply(b1,
% inverse(b1)),
% inverse(inverse(B)))))))) is composed into
% [285]
% multiply(inverse(b1),multiply(b1,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <-> multiply(inverse(C),multiply(C,inverse(inverse(inverse(inverse(B))))))
% Rule [209]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(B,inverse(
% inverse(C)))))))) is composed into
% [209]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(A),multiply(A,inverse(inverse(multiply(B,inverse(inverse(C)))))))
% New rule produced :
% [398]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(B))) -> inverse(inverse(B))
% Rule
% [174]
% multiply(A,inverse(multiply(A,inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(A))))))))))))
% <-> multiply(B,inverse(multiply(C,inverse(C)))) collapsed.
% Rule
% [191]
% multiply(inverse(A),multiply(inverse(B),multiply(B,inverse(multiply(multiply(b1,
% inverse(b1)),
% inverse(multiply(A,
% inverse(
% inverse(C)))))))))
% -> C collapsed.
% Rule
% [210]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(b1,inverse(b1)),
% inverse(multiply(B,inverse(inverse(C))))))))
% <-> multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [211]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))
% <->
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(A,C),
% inverse(b1)))))))
% collapsed.
% Rule
% [213]
% inverse(multiply(A,inverse(multiply(B,multiply(inverse(b1),multiply(b1,
% inverse(multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% inverse(A))))))))))))
% -> inverse(inverse(C)) collapsed.
% Rule
% [243]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(
% inverse(B))))))
% <->
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(A,
% multiply(B,
% inverse(
% multiply(C,
% inverse(C))))),
% inverse(b1)))))))
% collapsed.
% Rule
% [311]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(inverse(inverse(A)),
% inverse(inverse(multiply(B,
% inverse(B))))))))
% -> inverse(inverse(A)) collapsed.
% Rule
% [331]
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))))
% -> multiply(A,C) collapsed.
% Rule
% [369]
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(multiply(A,
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))))))
% -> inverse(inverse(A)) collapsed.
% Current number of equations to process: 4345
% Current number of ordered equations: 0
% Current number of rules: 164
% Rule [264]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% inverse(inverse(inverse(multiply(multiply(multiply(A,inverse(A)),B),
% inverse(multiply(C,B)))))) is composed into
% [264] multiply(C,inverse(multiply(D,inverse(D)))) -> inverse(inverse(C))
% New rule produced :
% [399]
% inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(C,B))))
% -> C
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [400]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) <->
% multiply(inverse(b1),multiply(b1,multiply(C,inverse(inverse(A)))))
% Current number of equations to process: 4343
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [401]
% multiply(inverse(b1),multiply(b1,multiply(C,inverse(inverse(A))))) <->
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B))))
% Current number of equations to process: 4343
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [402]
% inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(multiply(A,
% inverse(A))),
% inverse(inverse(inverse(B))))))) ->
% inverse(inverse(B))
% Current number of equations to process: 4342
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [403]
% multiply(b1,inverse(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% inverse(b1)))))))
% -> inverse(b1)
% Current number of equations to process: 4340
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [404]
% multiply(A,inverse(inverse(multiply(B,inverse(B))))) -> inverse(inverse(A))
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [405]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))) <->
% multiply(multiply(inverse(A),multiply(B,inverse(C))),C)
% Current number of equations to process: 4338
% Current number of ordered equations: 1
% Current number of rules: 171
% Rule [405]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))) <->
% multiply(multiply(inverse(A),multiply(B,inverse(C))),C) is composed into
% [405]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))) <->
% multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1)))
% New rule produced :
% [406]
% multiply(multiply(inverse(A),multiply(B,inverse(C))),C) <->
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D)))
% Current number of equations to process: 4338
% Current number of ordered equations: 0
% Current number of rules: 172
% Rule [400]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) <->
% multiply(inverse(b1),multiply(b1,multiply(C,inverse(inverse(A))))) is composed into
% [400]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) <->
% inverse(inverse(multiply(C,inverse(inverse(A)))))
% Rule [48]
% multiply(inverse(inverse(A)),B) ->
% multiply(inverse(b1),multiply(b1,multiply(A,inverse(inverse(B))))) is composed into
% [48]
% multiply(inverse(inverse(A)),B) ->
% inverse(inverse(multiply(A,inverse(inverse(B)))))
% New rule produced :
% [407]
% multiply(inverse(b1),multiply(b1,multiply(A,inverse(inverse(B))))) ->
% inverse(inverse(multiply(A,inverse(inverse(B)))))
% Rule
% [253]
% multiply(A,inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(B),
% inverse(inverse(A)))))))
% <-> multiply(B,inverse(multiply(C,inverse(C)))) collapsed.
% Rule
% [401]
% multiply(inverse(b1),multiply(b1,multiply(C,inverse(inverse(A))))) <->
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) collapsed.
% Rule
% [402]
% inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(multiply(A,
% inverse(A))),
% inverse(inverse(inverse(B))))))) ->
% inverse(inverse(B)) collapsed.
% Rule
% [403]
% multiply(b1,inverse(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% inverse(b1)))))))
% -> inverse(b1) collapsed.
% Current number of equations to process: 4340
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [408]
% multiply(b1,inverse(inverse(inverse(multiply(b1,inverse(inverse(b1))))))) ->
% inverse(b1)
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [409]
% multiply(A,inverse(inverse(inverse(multiply(inverse(B),inverse(inverse(A)))))))
% -> inverse(inverse(B))
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [410]
% inverse(inverse(multiply(multiply(A,inverse(inverse(D))),inverse(inverse(
% inverse(
% multiply(C,D)))))))
% <->
% inverse(inverse(multiply(multiply(A,inverse(inverse(B))),inverse(inverse(
% inverse(
% multiply(C,B)))))))
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [411]
% multiply(A,inverse(inverse(multiply(inverse(B),multiply(B,C))))) ->
% multiply(A,C)
% Rule
% [335]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(A),
% inverse(inverse(
% multiply(
% inverse(A),
% multiply(A,C)))))))))
% -> C collapsed.
% Rule
% [344]
% multiply(b1,inverse(multiply(multiply(A,inverse(A)),inverse(multiply(
% inverse(b1),
% inverse(inverse(
% multiply(
% inverse(B),
% multiply(B,C)))))))))
% -> C collapsed.
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 171
% Rule [267]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(C))))))) is composed into
% [267] multiply(C,inverse(multiply(D,inverse(D)))) -> inverse(inverse(C))
% New rule produced :
% [412]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(A),C)))))
% -> C
% Rule
% [268]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(A),
% inverse(inverse(C)))))))
% <-> multiply(C,inverse(multiply(D,inverse(D)))) collapsed.
% Rule
% [333]
% multiply(A,multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(
% multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(A),C)))))))))
% -> C collapsed.
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [413] multiply(A,inverse(inverse(multiply(inverse(A),C)))) -> C
% Rule
% [389]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(
% multiply(
% inverse(B),C)))))))
% -> inverse(inverse(C)) collapsed.
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 170
% Rule [388]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(multiply(A,inverse(A)),inverse(
% multiply(B,
% inverse(
% inverse(C)))))))) is composed into
% [388]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) ->
% inverse(inverse(inverse(inverse(multiply(B,inverse(inverse(C)))))))
% New rule produced :
% [414]
% inverse(multiply(multiply(A,inverse(A)),inverse(C))) -> inverse(inverse(C))
% Rule
% [343]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(B,inverse(B)),
% inverse(multiply(A,inverse(
% inverse(C)))))))))
% -> C collapsed.
% Rule
% [387]
% inverse(inverse(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,
% inverse(
% inverse(C))))))))
% <-> multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [398]
% inverse(multiply(multiply(b1,inverse(b1)),inverse(B))) -> inverse(inverse(B))
% collapsed.
% Rule
% [412]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(A),C)))))
% -> C collapsed.
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [415]
% inverse(multiply(multiply(A,B),inverse(inverse(inverse(multiply(C,inverse(
% inverse(B))))))))
% <-> multiply(C,inverse(inverse(inverse(A))))
% Current number of equations to process: 4334
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [416]
% multiply(C,inverse(inverse(inverse(A)))) <->
% inverse(multiply(multiply(A,B),inverse(inverse(inverse(multiply(C,inverse(
% inverse(B))))))))
% Current number of equations to process: 4334
% Current number of ordered equations: 0
% Current number of rules: 169
% Rule [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(
% multiply(b1,
% inverse(b1))),
% inverse(
% inverse(
% inverse(C)))))))))) is composed into
% [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% inverse(
% inverse(C))))))))))
% Rule [376]
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(
% multiply(A,C))))))
% <->
% multiply(A,inverse(inverse(inverse(multiply(inverse(multiply(b1,
% inverse(b1))),
% inverse(inverse(inverse(B)))))))) is composed into
% [376]
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C))))))
% <->
% multiply(A,inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),
% inverse(inverse(inverse(B))))))))
% Rule [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(inverse(multiply(inverse(multiply(b1,inverse(b1))),
% inverse(inverse(inverse(A))))))) is composed into
% [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(inverse(
% inverse(A)))))))
% Rule [363]
% inverse(multiply(A,inverse(A))) <-> inverse(multiply(b1,inverse(b1))) is composed into
% [363] inverse(multiply(A,inverse(A))) <-> multiply(b1,inverse(b1))
% Rule [346]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(b1,inverse(b1))) is composed into [346]
% inverse(inverse(
% inverse(
% multiply(C,
% inverse(C)))))
% <->
% multiply(b1,inverse(b1))
% Rule [283]
% multiply(inverse(b1),multiply(b1,multiply(inverse(multiply(A,inverse(A))),B)))
% <->
% multiply(inverse(C),multiply(C,multiply(inverse(multiply(b1,inverse(b1))),B))) is composed into
% [283]
% multiply(inverse(b1),multiply(b1,multiply(inverse(multiply(A,inverse(A))),B)))
% <-> multiply(inverse(C),multiply(C,multiply(multiply(b1,inverse(b1)),B)))
% Rule [232]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(b1,inverse(b1))) is composed into [232]
% inverse(inverse(
% inverse(
% multiply(D,
% inverse(D)))))
% <->
% multiply(b1,inverse(b1))
% Rule [230]
% inverse(inverse(inverse(multiply(B,inverse(B))))) <->
% inverse(multiply(b1,inverse(b1))) is composed into [230]
% inverse(inverse(
% inverse(
% multiply(B,
% inverse(B)))))
% <->
% multiply(b1,inverse(b1))
% Rule [228]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(multiply(b1,inverse(b1))) is composed into [228]
% inverse(inverse(
% inverse(
% multiply(A,
% inverse(A)))))
% <->
% multiply(b1,inverse(b1))
% Rule [220]
% inverse(multiply(B,inverse(B))) <-> inverse(multiply(b1,inverse(b1))) is composed into
% [220] inverse(multiply(B,inverse(B))) <-> multiply(b1,inverse(b1))
% Rule [214]
% inverse(multiply(C,inverse(C))) <-> inverse(multiply(b1,inverse(b1))) is composed into
% [214] inverse(multiply(C,inverse(C))) <-> multiply(b1,inverse(b1))
% New rule produced :
% [417] inverse(multiply(b1,inverse(b1))) -> multiply(b1,inverse(b1))
% Rule
% [147]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(b1,
% inverse(b1))),B),
% inverse(multiply(C,B)))))) ->
% inverse(inverse(C)) collapsed.
% Rule
% [284]
% multiply(inverse(C),multiply(C,multiply(inverse(multiply(b1,inverse(b1))),B)))
% <->
% multiply(inverse(b1),multiply(b1,multiply(inverse(multiply(A,inverse(A))),B)))
% collapsed.
% Rule
% [347]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(multiply(inverse(
% multiply(b1,
% inverse(b1))),B),
% inverse(multiply(A,B))))) <->
% inverse(inverse(inverse(multiply(C,inverse(C))))) collapsed.
% Rule
% [395]
% inverse(inverse(multiply(b1,inverse(b1)))) ->
% inverse(multiply(b1,inverse(b1))) collapsed.
% Rule
% [396] multiply(A,inverse(multiply(b1,inverse(b1)))) -> inverse(inverse(A))
% collapsed.
% Current number of equations to process: 4338
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [418]
% multiply(inverse(b1),multiply(b1,multiply(multiply(B,inverse(B)),inverse(A))))
% <-> multiply(multiply(b1,inverse(b1)),inverse(inverse(inverse(A))))
% Current number of equations to process: 4337
% Current number of ordered equations: 1
% Current number of rules: 166
% Rule [418]
% multiply(inverse(b1),multiply(b1,multiply(multiply(B,inverse(B)),
% inverse(A)))) <->
% multiply(multiply(b1,inverse(b1)),inverse(inverse(inverse(A)))) is composed into
% [418]
% multiply(inverse(b1),multiply(b1,multiply(multiply(B,inverse(B)),inverse(A))))
% <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(b1,inverse(b1)),inverse(A))))
% Rule [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(
% inverse(
% inverse(C)))))))))) is composed into
% [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(multiply(
% inverse(b1),
% multiply(b1,
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(C))))))))))
% Rule [376]
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(
% multiply(A,C))))))
% <->
% multiply(A,inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),
% inverse(inverse(inverse(B)))))))) is composed into
% [376]
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C))))))
% <->
% multiply(A,inverse(inverse(inverse(multiply(inverse(b1),multiply(b1,multiply(
% multiply(b1,
% inverse(b1)),
% inverse(B))))))))
% Rule [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),inverse(
% inverse(
% inverse(A))))))) is composed into
% [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(inverse(multiply(inverse(b1),multiply(b1,multiply(multiply(b1,
% inverse(b1)),
% inverse(A)))))))
% New rule produced :
% [419]
% multiply(multiply(b1,inverse(b1)),inverse(inverse(inverse(A)))) <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(B,inverse(B)),inverse(A))))
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [420]
% inverse(inverse(multiply(multiply(b1,A),inverse(multiply(inverse(B),A))))) ->
% inverse(inverse(multiply(b1,inverse(inverse(B)))))
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 168
% Rule [406]
% multiply(multiply(inverse(A),multiply(B,inverse(C))),C) <->
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))) is composed into
% [406]
% multiply(multiply(inverse(A),multiply(B,inverse(C))),C) ->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(inverse(B)))))
% Rule [361]
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(
% inverse(A)),B)),C),
% inverse(multiply(D,C)))))) is composed into
% [361]
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4)))))) <->
% inverse(inverse(inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(
% multiply(
% inverse(
% inverse(A)),B)),
% inverse(D)))))))
% Rule [359]
% multiply(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),C))),
% inverse(inverse(B))) <->
% multiply(multiply(inverse(A),D),inverse(multiply(multiply(inverse(
% multiply(V_4,
% inverse(V_4))),C),D))) is composed into
% [359]
% multiply(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),C))),
% inverse(inverse(B))) <->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(multiply(
% inverse(
% multiply(V_4,
% inverse(V_4))),C)))))
% Rule [339]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% <-> inverse(multiply(multiply(inverse(C),V_4),inverse(multiply(B,V_4)))) is composed into
% [339]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% <->
% inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(C),inverse(B)))))
% Rule [329]
% multiply(inverse(inverse(B)),multiply(inverse(C),inverse(V_4))) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,D)))))) is composed into
% [329]
% multiply(inverse(inverse(B)),multiply(inverse(C),inverse(V_4))) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(b1),multiply(b1,
% multiply(
% inverse(C),
% inverse(V_4)))))))
% Rule [325]
% multiply(inverse(inverse(C)),A) <->
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) is composed into
% [325]
% multiply(inverse(inverse(C)),A) <->
% inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(C)))))
% Rule [317]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C)))
% <->
% multiply(multiply(inverse(multiply(inverse(D),multiply(D,C))),V_4),
% inverse(multiply(B,V_4))) is composed into [317]
% multiply(inverse(inverse(
% inverse(
% multiply(A,
% inverse(A))))),
% inverse(multiply(B,C))) <->
% multiply(inverse(b1),
% multiply(b1,multiply(
% inverse(multiply(
% inverse(D),
% multiply(D,C))),
% inverse(B))))
% Rule [316]
% multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C)) <->
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) is composed into
% [316]
% multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C)) ->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(inverse(B)))))
% Rule [310]
% multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(inverse(D),
% multiply(D,C)))) <->
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) is composed into
% [310]
% multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(inverse(D),
% multiply(D,C)))) ->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(inverse(B)))))
% Rule [303]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D))))))))
% <-> multiply(multiply(inverse(C),V_4),inverse(multiply(B,V_4))) is composed into
% [303]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D))))))))
% <-> multiply(inverse(b1),multiply(b1,multiply(inverse(C),inverse(B))))
% Rule [298]
% inverse(inverse(inverse(multiply(D,B)))) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(multiply(inverse(A),C),
% inverse(multiply(D,C)))) is composed into
% [298]
% inverse(inverse(inverse(multiply(D,B)))) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(b1),multiply(b1,
% multiply(
% inverse(A),
% inverse(D)))))
% Rule [297]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,multiply(D,B))))
% <-> multiply(multiply(inverse(D),V_4),inverse(multiply(C,V_4))) is composed into
% [297]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,multiply(D,B))))
% <-> multiply(inverse(b1),multiply(b1,multiply(inverse(D),inverse(C))))
% Rule [293]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(C,
% inverse(A)))))
% <-> multiply(multiply(inverse(C),D),inverse(multiply(B,D))) is composed into
% [293]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(C,inverse(A)))))
% <-> multiply(inverse(b1),multiply(b1,multiply(inverse(C),inverse(B))))
% Rule [290]
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(inverse(B)))))
% <-> multiply(multiply(inverse(B),C),inverse(multiply(A,C))) is composed into
% [290]
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(inverse(B)))))
% <-> multiply(inverse(b1),multiply(b1,multiply(inverse(B),inverse(A))))
% Rule [249]
% multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(A),B),inverse(
% multiply(C,B)))))) is composed into
% [249]
% multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(A),
% inverse(C)))))))
% Rule [176]
% multiply(D,B) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(A),
% multiply(A,B))),C),
% inverse(multiply(D,C)))))) is composed into
% [176]
% multiply(D,B) <->
% inverse(inverse(inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(
% multiply(
% inverse(A),
% multiply(A,B))),
% inverse(D)))))))
% Rule [67]
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),C),
% inverse(multiply(D,C)))))) is composed into
% [67]
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(b1),multiply(b1,
% multiply(
% inverse(B),
% inverse(D)))))))
% Rule [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,B))),D),
% inverse(multiply(inverse(inverse(A)),D)))) is composed into
% [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(multiply(inverse(b1),
% multiply(b1,B))),
% inverse(inverse(inverse(A)))))))
% Rule [53]
% multiply(D,B) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(
% multiply(
% inverse(b1),
% multiply(b1,B))),C),
% inverse(multiply(D,C)))))) is composed into
% [53]
% multiply(D,B) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(b1),multiply(b1,
% multiply(
% inverse(multiply(
% inverse(b1),
% multiply(b1,B))),
% inverse(D)))))))
% New rule produced :
% [421]
% multiply(multiply(inverse(A),D),inverse(multiply(B,D))) ->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(B))))
% Rule
% [66]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),C),
% inverse(multiply(D,C)))))) <->
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) collapsed.
% Rule
% [70]
% multiply(inverse(A),multiply(inverse(B),multiply(B,inverse(multiply(multiply(
% inverse(C),D),
% inverse(multiply(A,D)))))))
% -> C collapsed.
% Rule
% [78]
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(A),C)))))
% <-> multiply(B,inverse(multiply(D,inverse(D)))) collapsed.
% Rule
% [83]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(inverse(C)),B))))
% <->
% multiply(C,multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),
% inverse(multiply(inverse(b1),multiply(
% multiply(A,
% inverse(multiply(D,
% inverse(D)))),
% inverse(b1))))))))
% collapsed.
% Rule
% [85]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(
% inverse(B),
% multiply(B,C))),D),
% inverse(multiply(V_4,D)))))) <->
% multiply(V_4,C) collapsed.
% Rule
% [88]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(inverse(inverse(D)),C)))) <->
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) collapsed.
% Rule
% [108]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(D,B),
% inverse(b1)))))))
% collapsed.
% Rule
% [130]
% inverse(multiply(multiply(inverse(B),V_4),inverse(multiply(A,V_4)))) <->
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(A,
% multiply(B,
% inverse(
% multiply(C,
% inverse(C))))),
% inverse(b1)))))))
% collapsed.
% Rule
% [155]
% multiply(multiply(inverse(A),B),inverse(multiply(C,B))) <->
% multiply(multiply(inverse(A),D),inverse(multiply(C,D))) collapsed.
% Rule
% [167]
% inverse(multiply(multiply(inverse(multiply(B,inverse(B))),C),inverse(
% multiply(
% inverse(
% inverse(A)),C))))
% -> inverse(inverse(A)) collapsed.
% Rule
% [175]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(A),
% multiply(A,B))),C),
% inverse(multiply(D,C)))))) <-> multiply(D,B)
% collapsed.
% Rule
% [189]
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1))))
% collapsed.
% Rule
% [198]
% multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(multiply(C,
% inverse(C))),D),
% inverse(multiply(A,D)))))) ->
% inverse(inverse(A)) collapsed.
% Rule
% [207]
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1))))
% collapsed.
% Rule
% [241]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <-> multiply(b1,inverse(multiply(inverse(C),b1))) collapsed.
% Rule
% [248]
% inverse(inverse(inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B))))))
% <-> multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [258]
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(inverse(multiply(
% multiply(
% inverse(B),C),
% inverse(
% multiply(
% multiply(D,
% inverse(D)),C)))))))
% -> B collapsed.
% Rule
% [274]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(inverse(B),C),
% inverse(multiply(A,C))))))) -> B
% collapsed.
% Rule
% [288]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),C),inverse(
% multiply(D,C)))))
% -> multiply(inverse(B),inverse(D)) collapsed.
% Rule
% [289]
% multiply(multiply(inverse(B),C),inverse(multiply(A,C))) <->
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(inverse(B)))))
% collapsed.
% Rule
% [292]
% multiply(multiply(inverse(C),D),inverse(multiply(B,D))) <->
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(C,inverse(A)))))
% collapsed.
% Rule
% [296]
% multiply(multiply(inverse(D),V_4),inverse(multiply(C,V_4))) <->
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,multiply(D,B))))
% collapsed.
% Rule
% [299]
% multiply(inverse(multiply(inverse(A),B)),multiply(multiply(inverse(A),C),
% inverse(multiply(D,C)))) <->
% inverse(inverse(inverse(multiply(D,B)))) collapsed.
% Rule
% [300]
% multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(multiply(C,B)))
% <->
% multiply(multiply(inverse(multiply(D,inverse(D))),V_4),inverse(multiply(C,V_4)))
% collapsed.
% Rule
% [301]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))) <->
% multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1))) collapsed.
% Rule
% [304]
% multiply(multiply(inverse(C),V_4),inverse(multiply(B,V_4))) <->
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D))))))))
% collapsed.
% Rule
% [307]
% multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D))) ->
% multiply(A,inverse(inverse(inverse(B)))) collapsed.
% Rule
% [309]
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) <->
% multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1))) collapsed.
% Rule
% [314]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(inverse(C)),D))) ->
% multiply(inverse(inverse(inverse(A))),inverse(C)) collapsed.
% Rule
% [315]
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) <->
% multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1))) collapsed.
% Rule
% [318]
% multiply(multiply(inverse(multiply(inverse(D),multiply(D,C))),V_4),inverse(
% multiply(B,V_4)))
% <->
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,C)))
% collapsed.
% Rule
% [321]
% multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(
% inverse(
% inverse(C)),B))),
% inverse(inverse(C))) -> multiply(b1,inverse(b1)) collapsed.
% Rule
% [328]
% multiply(inverse(A),multiply(A,multiply(B,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,D)))))) <->
% multiply(inverse(inverse(B)),multiply(inverse(C),inverse(V_4))) collapsed.
% Rule
% [340]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(multiply(C,
% inverse(C))),B))))
% <->
% inverse(multiply(multiply(inverse(A),b1),inverse(multiply(inverse(multiply(D,
% inverse(D))),b1))))
% collapsed.
% Rule
% [341]
% inverse(multiply(multiply(inverse(A),b1),inverse(multiply(inverse(multiply(D,
% inverse(D))),b1))))
% <->
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(multiply(C,
% inverse(C))),B))))
% collapsed.
% Rule
% [349]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(B),
% inverse(D))),V_4),inverse(
% multiply(A,V_4))))))
% <-> multiply(A,multiply(multiply(inverse(B),C),inverse(multiply(D,C))))
% collapsed.
% Rule
% [350]
% multiply(A,multiply(multiply(inverse(B),C),inverse(multiply(D,C)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(B),
% inverse(D))),V_4),inverse(
% multiply(A,V_4))))))
% collapsed.
% Rule
% [352]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(multiply(inverse(V_4),
% multiply(V_4,B))),D)))
% <-> multiply(multiply(inverse(A),B),multiply(C,inverse(C))) collapsed.
% Rule
% [353]
% multiply(multiply(inverse(A),D),inverse(multiply(B,D))) <->
% multiply(multiply(inverse(A),b1),inverse(multiply(B,b1))) collapsed.
% Rule
% [354]
% multiply(multiply(inverse(A),D),inverse(multiply(C,D))) <->
% multiply(multiply(inverse(A),b1),inverse(multiply(C,b1))) collapsed.
% Rule
% [358]
% multiply(multiply(inverse(A),D),inverse(multiply(multiply(inverse(multiply(V_4,
% inverse(V_4))),C),D)))
% <->
% multiply(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),C))),
% inverse(inverse(B))) collapsed.
% Rule
% [360]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(inverse(A)),B)),C),
% inverse(multiply(D,C)))))) <->
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4))))))
% collapsed.
% Rule
% [368]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),
% inverse(multiply(C,B)))))) -> inverse(inverse(C))
% collapsed.
% Rule
% [376]
% inverse(inverse(inverse(multiply(multiply(inverse(B),C),inverse(multiply(A,C))))))
% <->
% multiply(A,inverse(inverse(inverse(multiply(inverse(b1),multiply(b1,multiply(
% multiply(b1,
% inverse(b1)),
% inverse(B))))))))
% collapsed.
% Rule
% [400]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) <->
% inverse(inverse(multiply(C,inverse(inverse(A))))) collapsed.
% Rule
% [405]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))) <->
% multiply(multiply(inverse(A),b1),inverse(multiply(inverse(B),b1))) collapsed.
% Current number of equations to process: 4360
% Current number of ordered equations: 0
% Current number of rules: 123
% Rule [421]
% multiply(multiply(inverse(A),D),inverse(multiply(B,D))) ->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(B)))) is composed into
% [421]
% multiply(multiply(inverse(A),D),inverse(multiply(B,D))) ->
% inverse(inverse(multiply(inverse(A),inverse(B))))
% Rule [419]
% multiply(multiply(b1,inverse(b1)),inverse(inverse(inverse(A)))) <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(B,inverse(B)),
% inverse(A)))) is composed into
% [419]
% multiply(multiply(b1,inverse(b1)),inverse(inverse(inverse(A)))) <->
% inverse(inverse(multiply(multiply(B,inverse(B)),inverse(A))))
% Rule [406]
% multiply(multiply(inverse(A),multiply(B,inverse(C))),C) ->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(inverse(B))))) is composed into
% [406]
% multiply(multiply(inverse(A),multiply(B,inverse(C))),C) ->
% inverse(inverse(multiply(inverse(A),inverse(inverse(B)))))
% Rule [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(
% multiply(
% inverse(b1),
% multiply(b1,
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(C)))))))))) is composed into
% [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(inverse(
% inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(C))))))))))
% Rule [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(inverse(multiply(inverse(b1),multiply(b1,multiply(
% multiply(b1,
% inverse(b1)),
% inverse(A))))))) is composed into
% [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),
% inverse(A)))))))
% Rule [361]
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4))))))
% <->
% inverse(inverse(inverse(multiply(inverse(b1),multiply(b1,multiply(
% inverse(
% multiply(
% inverse(
% inverse(A)),B)),
% inverse(D))))))) is composed into
% [361]
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4)))))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(
% inverse(A)),B)),
% inverse(D)))))))
% Rule [359]
% multiply(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),C))),
% inverse(inverse(B))) <->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(multiply(
% inverse(
% multiply(V_4,
% inverse(V_4))),C))))) is composed into
% [359]
% multiply(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),C))),
% inverse(inverse(B))) <->
% inverse(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(V_4,
% inverse(V_4))),C)))))
% Rule [339]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% <->
% inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(C),inverse(B))))) is composed into
% [339]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% <-> inverse(inverse(inverse(multiply(inverse(C),inverse(B)))))
% Rule [329]
% multiply(inverse(inverse(B)),multiply(inverse(C),inverse(V_4))) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(b1),multiply(b1,
% multiply(
% inverse(C),
% inverse(V_4))))))) is composed into
% [329]
% multiply(inverse(inverse(B)),multiply(inverse(C),inverse(V_4))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(multiply(inverse(C),
% inverse(V_4)))))))
% Rule [325]
% multiply(inverse(inverse(C)),A) <->
% inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(C))))) is composed into
% [325]
% multiply(inverse(inverse(C)),A) <->
% inverse(inverse(inverse(multiply(inverse(A),inverse(C)))))
% Rule [317]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C)))
% <->
% multiply(inverse(b1),multiply(b1,multiply(inverse(multiply(inverse(D),
% multiply(D,C))),
% inverse(B)))) is composed into
% [317]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,C)))
% <->
% inverse(inverse(multiply(inverse(multiply(inverse(D),multiply(D,C))),
% inverse(B))))
% Rule [316]
% multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C)) ->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(inverse(B))))) is composed into
% [316]
% multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C)) -> inverse(inverse(multiply(inverse(A),inverse(inverse(B)))))
% Rule [310]
% multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(inverse(D),
% multiply(D,C)))) ->
% multiply(inverse(b1),multiply(b1,multiply(inverse(A),inverse(inverse(B))))) is composed into
% [310]
% multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(inverse(D),
% multiply(D,C)))) ->
% inverse(inverse(multiply(inverse(A),inverse(inverse(B)))))
% Rule [303]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D))))))))
% <-> multiply(inverse(b1),multiply(b1,multiply(inverse(C),inverse(B)))) is composed into
% [303]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D))))))))
% <-> inverse(inverse(multiply(inverse(C),inverse(B))))
% Rule [298]
% inverse(inverse(inverse(multiply(D,B)))) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(b1),multiply(b1,
% multiply(
% inverse(A),
% inverse(D))))) is composed into
% [298]
% inverse(inverse(inverse(multiply(D,B)))) <->
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(multiply(inverse(A),
% inverse(D)))))
% Rule [297]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,multiply(D,B))))
% <-> multiply(inverse(b1),multiply(b1,multiply(inverse(D),inverse(C)))) is composed into
% [297]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,multiply(D,B))))
% <-> inverse(inverse(multiply(inverse(D),inverse(C))))
% Rule [293]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(C,
% inverse(A)))))
% <-> multiply(inverse(b1),multiply(b1,multiply(inverse(C),inverse(B)))) is composed into
% [293]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(C,inverse(A)))))
% <-> inverse(inverse(multiply(inverse(C),inverse(B))))
% Rule [290]
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(inverse(B)))))
% <-> multiply(inverse(b1),multiply(b1,multiply(inverse(B),inverse(A)))) is composed into
% [290]
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(inverse(B)))))
% <-> inverse(inverse(multiply(inverse(B),inverse(A))))
% Rule [249]
% multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(inverse(b1),multiply(b1,multiply(
% inverse(A),
% inverse(C))))))) is composed into
% [249]
% multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),inverse(C)))))))
% Rule [219]
% multiply(inverse(inverse(A)),inverse(inverse(inverse(B)))) ->
% multiply(inverse(b1),multiply(b1,multiply(A,inverse(B)))) is composed into
% [219]
% multiply(inverse(inverse(A)),inverse(inverse(inverse(B)))) ->
% inverse(inverse(multiply(A,inverse(B))))
% Rule [176]
% multiply(D,B) <->
% inverse(inverse(inverse(multiply(inverse(b1),multiply(b1,multiply(
% inverse(
% multiply(
% inverse(A),
% multiply(A,B))),
% inverse(D))))))) is composed into
% [176]
% multiply(D,B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(A),
% multiply(A,B))),
% inverse(D)))))))
% Rule [67]
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(b1),multiply(b1,
% multiply(
% inverse(B),
% inverse(D))))))) is composed into
% [67]
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(A),multiply(A,inverse(inverse(inverse(multiply(inverse(B),
% inverse(D)))))))
% Rule [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(inverse(b1),multiply(b1,multiply(inverse(multiply(
% inverse(b1),
% multiply(b1,B))),
% inverse(inverse(inverse(A))))))) is composed into
% [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(b1),multiply(b1,B))),
% inverse(inverse(inverse(A)))))))
% Rule [53]
% multiply(D,B) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(b1),multiply(b1,
% multiply(
% inverse(
% multiply(
% inverse(b1),
% multiply(b1,B))),
% inverse(D))))))) is composed into
% [53]
% multiply(D,B) <->
% multiply(inverse(A),multiply(A,inverse(inverse(inverse(multiply(inverse(
% multiply(
% inverse(b1),
% multiply(b1,B))),
% inverse(D)))))))
% New rule produced :
% [422]
% multiply(inverse(b1),multiply(b1,multiply(A,inverse(B)))) ->
% inverse(inverse(multiply(A,inverse(B))))
% Rule
% [407]
% multiply(inverse(b1),multiply(b1,multiply(A,inverse(inverse(B))))) ->
% inverse(inverse(multiply(A,inverse(inverse(B))))) collapsed.
% Rule
% [418]
% multiply(inverse(b1),multiply(b1,multiply(multiply(B,inverse(B)),inverse(A))))
% <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(b1,inverse(b1)),inverse(A))))
% collapsed.
% Current number of equations to process: 4360
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [423]
% inverse(inverse(multiply(C,inverse(inverse(A))))) <->
% inverse(inverse(inverse(multiply(inverse(A),inverse(C)))))
% Current number of equations to process: 4359
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [424]
% inverse(inverse(inverse(multiply(inverse(A),inverse(C))))) <->
% inverse(inverse(multiply(C,inverse(inverse(A)))))
% Current number of equations to process: 4359
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [425] multiply(inverse(A),inverse(multiply(inverse(B),inverse(A)))) -> B
% Current number of equations to process: 4357
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [426]
% inverse(inverse(multiply(inverse(C),inverse(B)))) <->
% inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(multiply(B,
% multiply(C,
% inverse(A)))))))))
% Current number of equations to process: 4356
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [427]
% inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(multiply(B,
% multiply(C,
% inverse(A)))))))))
% <-> inverse(inverse(multiply(inverse(C),inverse(B))))
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 127
% Rule [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% <-> multiply(b1,inverse(multiply(inverse(C),b1))) is composed into
% [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% -> C
% New rule produced : [428] multiply(b1,inverse(multiply(inverse(C),b1))) -> C
% Current number of equations to process: 4355
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [429]
% inverse(multiply(inverse(A),inverse(C))) <-> multiply(C,inverse(inverse(A)))
% Rule
% [424]
% inverse(inverse(inverse(multiply(inverse(A),inverse(C))))) <->
% inverse(inverse(multiply(C,inverse(inverse(A))))) collapsed.
% Current number of equations to process: 4354
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [430]
% multiply(C,inverse(inverse(A))) <-> inverse(multiply(inverse(A),inverse(C)))
% Rule
% [359]
% multiply(multiply(inverse(A),inverse(multiply(inverse(inverse(B)),C))),
% inverse(inverse(B))) <->
% inverse(inverse(multiply(inverse(A),inverse(multiply(inverse(multiply(V_4,
% inverse(V_4))),C)))))
% collapsed.
% Rule
% [423]
% inverse(inverse(multiply(C,inverse(inverse(A))))) <->
% inverse(inverse(inverse(multiply(inverse(A),inverse(C))))) collapsed.
% Current number of equations to process: 4355
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [431]
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(B,C)))) <->
% multiply(inverse(b1),multiply(b1,C))
% Current number of equations to process: 4354
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [432]
% multiply(inverse(b1),multiply(b1,C)) <->
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(B,C))))
% Current number of equations to process: 4354
% Current number of ordered equations: 0
% Current number of rules: 129
% Rule [379]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(
% inverse(
% inverse(
% multiply(
% multiply(b1,
% inverse(b1)),
% inverse(C)))))))))) is composed into
% [379]
% multiply(inverse(inverse(B)),C) <->
% inverse(inverse(multiply(B,inverse(inverse(inverse(inverse(inverse(multiply(
% multiply(b1,
% inverse(b1)),
% inverse(C))))))))))
% Rule [329]
% multiply(inverse(inverse(B)),multiply(inverse(C),inverse(V_4))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(multiply(
% inverse(C),
% inverse(V_4))))))) is composed into
% [329]
% multiply(inverse(inverse(B)),multiply(inverse(C),inverse(V_4))) ->
% inverse(inverse(multiply(B,inverse(inverse(multiply(inverse(C),inverse(V_4)))))))
% Rule [317]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C)))
% <->
% inverse(inverse(multiply(inverse(multiply(inverse(D),multiply(D,C))),
% inverse(B)))) is composed into [317]
% multiply(inverse(
% inverse(
% inverse(
% multiply(A,
% inverse(A))))),
% inverse(multiply(B,C)))
% <->
% inverse(inverse(multiply(
% inverse(
% inverse(
% inverse(C))),
% inverse(B))))
% Rule [287]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(
% inverse(
% inverse(
% multiply(B,
% inverse(B)))),C))
% <-> multiply(inverse(D),multiply(D,C)) is composed into [287]
% multiply(
% inverse(
% inverse(
% inverse(
% multiply(A,
% inverse(A))))),
% multiply(
% inverse(
% inverse(
% multiply(B,
% inverse(B)))),C))
% ->
% inverse(
% inverse(C))
% Rule [282]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(b1),multiply(b1,A)),
% inverse(multiply(B,multiply(C,A))))))) is composed into
% [282]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(inverse(inverse(A)),inverse(multiply(B,
% multiply(C,A)))))))
% Rule [236]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(C,inverse(C)),
% multiply(B,inverse(multiply(D,inverse(D))))))) is composed into
% [236]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% inverse(inverse(multiply(multiply(C,inverse(C)),multiply(B,inverse(multiply(D,
% inverse(D)))))))
% Rule [223]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C))
% <-> multiply(inverse(D),multiply(D,C)) is composed into [223]
% multiply(
% inverse(
% multiply(A,
% inverse(A))),
% multiply(
% multiply(B,
% inverse(B)),C))
% ->
% inverse(
% inverse(C))
% Rule [209]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(A),multiply(A,inverse(inverse(multiply(B,inverse(
% inverse(C))))))) is composed into
% [209]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) ->
% inverse(inverse(inverse(inverse(multiply(B,inverse(inverse(C)))))))
% Rule [193]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(C),multiply(C,multiply(multiply(b1,inverse(b1)),
% multiply(B,inverse(multiply(D,inverse(D))))))) is composed into
% [193]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% inverse(inverse(multiply(multiply(b1,inverse(b1)),multiply(B,inverse(
% multiply(D,
% inverse(D)))))))
% Rule [176]
% multiply(D,B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(
% inverse(A),
% multiply(A,B))),
% inverse(D))))))) is composed into
% [176]
% multiply(D,B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(B))),
% inverse(D)))))))
% Rule [135]
% multiply(D,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),inverse(
% multiply(
% inverse(A),
% multiply(D,C)))))) is composed into
% [135]
% multiply(D,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,inverse(multiply(inverse(inverse(C)),inverse(multiply(inverse(A),
% multiply(D,C))))))
% Rule [67]
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(A),multiply(A,inverse(inverse(inverse(multiply(
% inverse(B),
% inverse(D))))))) is composed into
% [67]
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(B),inverse(D)))))))
% Rule [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(b1),multiply(b1,B))),
% inverse(inverse(inverse(A))))))) is composed into
% [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(B))),inverse(
% inverse(
% inverse(A)))))))
% Rule [53]
% multiply(D,B) <->
% multiply(inverse(A),multiply(A,inverse(inverse(inverse(multiply(
% inverse(multiply(
% inverse(b1),
% multiply(b1,B))),
% inverse(D))))))) is composed into
% [53]
% multiply(D,B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(inverse(B))),
% inverse(D)))))))
% Rule [46]
% multiply(inverse(inverse(A)),C) <->
% multiply(inverse(A),multiply(A,multiply(A,multiply(C,inverse(multiply(D,
% inverse(D))))))) is composed into
% [46]
% multiply(inverse(inverse(A)),C) <->
% inverse(inverse(multiply(A,multiply(C,inverse(multiply(D,inverse(D)))))))
% Rule [33]
% multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),C)) <->
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(B,multiply(C,
% inverse(multiply(D,
% inverse(D)))))))) is composed into
% [33]
% multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),C)) <->
% inverse(inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,inverse(D))))))))
% Rule [31]
% multiply(inverse(inverse(b1)),multiply(inverse(inverse(A)),B)) <->
% multiply(inverse(C),multiply(C,multiply(b1,multiply(A,multiply(B,
% inverse(multiply(D,
% inverse(D)))))))) is composed into
% [31]
% multiply(inverse(inverse(b1)),multiply(inverse(inverse(A)),B)) <->
% inverse(inverse(multiply(b1,multiply(A,multiply(B,inverse(multiply(D,
% inverse(D))))))))
% Rule [25]
% multiply(inverse(inverse(b1)),A) <->
% multiply(inverse(B),multiply(B,multiply(b1,multiply(A,inverse(multiply(C,
% inverse(C))))))) is composed into
% [25]
% multiply(inverse(inverse(b1)),A) <->
% inverse(inverse(multiply(b1,multiply(A,inverse(multiply(C,inverse(C)))))))
% Rule [23]
% multiply(inverse(inverse(A)),B) <->
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C))))))) is composed into
% [23]
% multiply(inverse(inverse(A)),B) <->
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))))
% New rule produced :
% [433] multiply(inverse(A),multiply(A,C)) -> inverse(inverse(C))
% Rule
% [14]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,inverse(C))))))
% -> B collapsed.
% Rule
% [71]
% multiply(inverse(A),multiply(A,B)) <-> multiply(inverse(C),multiply(C,B))
% collapsed.
% Rule
% [72]
% multiply(inverse(inverse(A)),multiply(inverse(B),multiply(B,C))) ->
% multiply(inverse(b1),multiply(b1,multiply(A,C))) collapsed.
% Rule
% [73]
% multiply(inverse(C),multiply(C,multiply(A,multiply(B,inverse(multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(A)),B) collapsed.
% Rule
% [74]
% multiply(inverse(D),multiply(D,multiply(A,multiply(B,multiply(C,inverse(
% multiply(V_4,
% inverse(V_4))))))))
% <-> multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),C)) collapsed.
% Rule
% [77]
% multiply(inverse(A),multiply(A,multiply(b1,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <->
% multiply(inverse(D),multiply(D,multiply(b1,multiply(B,inverse(multiply(V_4,
% inverse(V_4)))))))
% collapsed.
% Rule
% [111]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(
% inverse(C),D),B)))))
% -> inverse(inverse(D)) collapsed.
% Rule
% [129]
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))) collapsed.
% Rule
% [133]
% multiply(A,inverse(multiply(multiply(inverse(B),multiply(B,C)),inverse(
% multiply(
% inverse(A),
% multiply(D,C))))))
% <-> multiply(D,inverse(multiply(V_4,inverse(V_4)))) collapsed.
% Rule
% [148]
% multiply(inverse(A),multiply(A,B)) <-> multiply(inverse(b1),multiply(b1,B))
% collapsed.
% Rule
% [150]
% multiply(inverse(C),multiply(C,B)) <-> multiply(inverse(b1),multiply(b1,B))
% collapsed.
% Rule
% [153]
% multiply(inverse(C),multiply(C,B)) <-> multiply(inverse(b1),multiply(b1,B))
% collapsed.
% Rule
% [158]
% multiply(inverse(B),multiply(B,inverse(A))) -> inverse(inverse(inverse(A)))
% collapsed.
% Rule
% [160]
% multiply(inverse(B),multiply(B,inverse(b1))) -> inverse(inverse(inverse(b1)))
% collapsed.
% Rule
% [177]
% multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(C),multiply(C,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [180]
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(B,C)))) <->
% multiply(inverse(D),multiply(D,multiply(inverse(V_4),multiply(V_4,C))))
% collapsed.
% Rule
% [205]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(b1,
% inverse(b1)),B)))))
% -> C collapsed.
% Rule
% [222]
% multiply(inverse(D),multiply(D,C)) <-> multiply(inverse(b1),multiply(b1,C))
% collapsed.
% Rule
% [224]
% multiply(inverse(b1),multiply(b1,multiply(multiply(A,inverse(A)),B))) <->
% multiply(inverse(b1),multiply(b1,multiply(multiply(C,inverse(C)),B)))
% collapsed.
% Rule
% [276]
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% -> B collapsed.
% Rule
% [279]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(inverse(b1),
% multiply(b1,B)),
% inverse(multiply(A,multiply(C,B))))))))
% -> C collapsed.
% Rule
% [281]
% inverse(inverse(inverse(multiply(multiply(inverse(b1),multiply(b1,A)),
% inverse(multiply(B,multiply(C,A))))))) <->
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [283]
% multiply(inverse(b1),multiply(b1,multiply(inverse(multiply(A,inverse(A))),B)))
% <-> multiply(inverse(C),multiply(C,multiply(multiply(b1,inverse(b1)),B)))
% collapsed.
% Rule
% [285]
% multiply(inverse(b1),multiply(b1,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <-> multiply(inverse(C),multiply(C,inverse(inverse(inverse(inverse(B))))))
% collapsed.
% Rule
% [297]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,multiply(D,B))))
% <-> inverse(inverse(multiply(inverse(D),inverse(C)))) collapsed.
% Rule
% [310]
% multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(inverse(D),
% multiply(D,C)))) ->
% inverse(inverse(multiply(inverse(A),inverse(inverse(B))))) collapsed.
% Rule
% [326]
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(inverse(B),multiply(B,C)))))
% <->
% multiply(inverse(D),multiply(D,multiply(A,multiply(inverse(V_4),multiply(V_4,C)))))
% collapsed.
% Rule
% [327]
% multiply(inverse(D),multiply(D,multiply(A,multiply(inverse(V_4),multiply(V_4,C)))))
% <->
% multiply(inverse(b1),multiply(b1,multiply(A,multiply(inverse(B),multiply(B,C)))))
% collapsed.
% Rule
% [330]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(
% inverse(inverse(C)),
% multiply(
% multiply(D,
% inverse(D)),B)))))
% -> inverse(inverse(C)) collapsed.
% Rule
% [339]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% <-> inverse(inverse(inverse(multiply(inverse(C),inverse(B))))) collapsed.
% Rule
% [348]
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(
% inverse(b1),
% multiply(b1,A)),
% inverse(b1)))))))
% -> A collapsed.
% Rule
% [365]
% multiply(inverse(A),multiply(A,multiply(multiply(B,inverse(B)),multiply(C,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(V_4,inverse(V_4)))),C) collapsed.
% Rule
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(
% multiply(C,
% multiply(
% multiply(D,
% inverse(D)),B)))))))
% -> inverse(inverse(C)) collapsed.
% Rule
% [411]
% multiply(A,inverse(inverse(multiply(inverse(B),multiply(B,C))))) ->
% multiply(A,C) collapsed.
% Rule
% [422]
% multiply(inverse(b1),multiply(b1,multiply(A,inverse(B)))) ->
% inverse(inverse(multiply(A,inverse(B)))) collapsed.
% Rule
% [431]
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(B,C)))) <->
% multiply(inverse(b1),multiply(b1,C)) collapsed.
% Rule
% [432]
% multiply(inverse(b1),multiply(b1,C)) <->
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(B,C))))
% collapsed.
% Current number of equations to process: 4367
% Current number of ordered equations: 0
% Current number of rules: 93
% Rule [433] multiply(inverse(A),multiply(A,C)) -> inverse(inverse(C)) is composed into
% [433] multiply(inverse(A),multiply(A,C)) -> C
% Rule [429]
% inverse(multiply(inverse(A),inverse(C))) <->
% multiply(C,inverse(inverse(A))) is composed into [429]
% inverse(multiply(
% inverse(A),
% inverse(C)))
% <-> multiply(C,A)
% Rule [421]
% multiply(multiply(inverse(A),D),inverse(multiply(B,D))) ->
% inverse(inverse(multiply(inverse(A),inverse(B)))) is composed into
% [421]
% multiply(multiply(inverse(A),D),inverse(multiply(B,D))) ->
% multiply(inverse(A),inverse(B))
% Rule [414]
% inverse(multiply(multiply(A,inverse(A)),inverse(C))) ->
% inverse(inverse(C)) is composed into [414]
% inverse(multiply(multiply(A,
% inverse(A)),
% inverse(C))) -> C
% Rule [406]
% multiply(multiply(inverse(A),multiply(B,inverse(C))),C) ->
% inverse(inverse(multiply(inverse(A),inverse(inverse(B))))) is composed into
% [406]
% multiply(multiply(inverse(A),multiply(B,inverse(C))),C) ->
% multiply(inverse(A),B)
% Rule [391] multiply(A,multiply(B,inverse(B))) -> inverse(inverse(A)) is composed into
% [391] multiply(A,multiply(B,inverse(B))) -> A
% Rule [388]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) ->
% inverse(inverse(inverse(inverse(multiply(B,inverse(inverse(C))))))) is composed into
% [388]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) -> multiply(B,C)
% Rule [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(b1,inverse(b1)),
% inverse(A))))))) is composed into
% [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(A)))
% Rule [367]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B))) ->
% inverse(inverse(B)) is composed into [367]
% inverse(multiply(inverse(multiply(A,
% inverse(A))),
% inverse(B))) -> B
% Rule [361]
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4))))))
% <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(
% inverse(
% inverse(A)),B)),
% inverse(D))))))) is composed into
% [361]
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4)))))) <->
% inverse(multiply(inverse(multiply(A,B)),inverse(D)))
% Rule [320]
% multiply(C,multiply(inverse(A),inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(A,B),inverse(multiply(inverse(inverse(C)),B)))) is composed into
% [320]
% multiply(C,multiply(inverse(A),inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(A,B),inverse(multiply(C,B))))
% Rule [316]
% multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C)) ->
% inverse(inverse(multiply(inverse(A),inverse(inverse(B))))) is composed into
% [316]
% multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C)) -> multiply(inverse(A),B)
% Rule [303]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D))))))))
% <-> inverse(inverse(multiply(inverse(C),inverse(B)))) is composed into
% [303]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D))))))))
% <-> multiply(inverse(C),inverse(B))
% Rule [295]
% multiply(C,inverse(A)) <->
% inverse(inverse(inverse(multiply(multiply(A,B),inverse(multiply(C,B)))))) is composed into
% [295]
% multiply(C,inverse(A)) <->
% inverse(multiply(multiply(A,B),inverse(multiply(C,B))))
% Rule [282]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(inverse(inverse(A)),inverse(multiply(B,
% multiply(C,A))))))) is composed into
% [282]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(A,inverse(multiply(B,multiply(C,A)))))
% Rule [267] multiply(C,inverse(multiply(D,inverse(D)))) -> inverse(inverse(C)) is composed into
% [267] multiply(C,inverse(multiply(D,inverse(D)))) -> C
% Rule [265]
% multiply(inverse(B),inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),inverse(
% inverse(
% inverse(
% multiply(C,
% inverse(C)))))))))) is composed into
% [265]
% multiply(inverse(B),inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,
% inverse(C))))))))
% Rule [264] multiply(C,inverse(multiply(D,inverse(D)))) -> inverse(inverse(C)) is composed into
% [264] multiply(C,inverse(multiply(D,inverse(D)))) -> C
% Rule [254]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(inverse(inverse(inverse(B))),inverse(
% multiply(
% inverse(A),
% multiply(C,
% inverse(B))))))) is composed into
% [254]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),multiply(C,
% inverse(B)))))))
% Rule [252] multiply(B,inverse(multiply(C,inverse(C)))) -> inverse(inverse(B)) is composed into
% [252] multiply(B,inverse(multiply(C,inverse(C)))) -> B
% Rule [249]
% multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(A),inverse(C))))))) is composed into
% [249]
% multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(inverse(A),inverse(C)))
% Rule [235]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),
% inverse(multiply(inverse(inverse(B)),C)))) is composed into
% [235]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,C))))
% Rule [223]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C))
% -> inverse(inverse(C)) is composed into [223]
% multiply(inverse(multiply(A,
% inverse(A))),
% multiply(multiply(B,inverse(B)),C))
% -> C
% Rule [209]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) ->
% inverse(inverse(inverse(inverse(multiply(B,inverse(inverse(C))))))) is composed into
% [209]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) -> multiply(B,C)
% Rule [176]
% multiply(D,B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(
% inverse(B))),
% inverse(D))))))) is composed into
% [176] multiply(D,B) <-> inverse(multiply(inverse(B),inverse(D)))
% Rule [172] multiply(B,inverse(multiply(C,inverse(C)))) -> inverse(inverse(B)) is composed into
% [172] multiply(B,inverse(multiply(C,inverse(C)))) -> B
% Rule [137]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) -> inverse(inverse(B)) is composed into
% [137] multiply(B,inverse(multiply(V_4,inverse(V_4)))) -> B
% Rule [135]
% multiply(D,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,inverse(multiply(inverse(inverse(C)),inverse(multiply(
% inverse(A),
% multiply(D,C)))))) is composed into
% [135]
% multiply(D,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,inverse(multiply(C,inverse(multiply(inverse(A),multiply(D,C))))))
% Rule [132]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) -> inverse(inverse(B)) is composed into
% [132] multiply(B,inverse(multiply(V_4,inverse(V_4)))) -> B
% Rule [67]
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(B),inverse(D))))))) is composed into
% [67]
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) <->
% inverse(multiply(inverse(B),inverse(D)))
% Rule [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(B))),inverse(
% inverse(
% inverse(A))))))) is composed into
% [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(inverse(B),inverse(A)))
% Rule [53]
% multiply(D,B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(inverse(
% inverse(B))),
% inverse(D))))))) is composed into
% [53] multiply(D,B) <-> inverse(multiply(inverse(B),inverse(D)))
% New rule produced : [434] inverse(inverse(C)) -> C
% Rule
% [23]
% multiply(inverse(inverse(A)),B) <->
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))))
% collapsed.
% Rule
% [25]
% multiply(inverse(inverse(b1)),A) <->
% inverse(inverse(multiply(b1,multiply(A,inverse(multiply(C,inverse(C)))))))
% collapsed.
% Rule
% [31]
% multiply(inverse(inverse(b1)),multiply(inverse(inverse(A)),B)) <->
% inverse(inverse(multiply(b1,multiply(A,multiply(B,inverse(multiply(D,
% inverse(D))))))))
% collapsed.
% Rule
% [33]
% multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),C)) <->
% inverse(inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,inverse(D))))))))
% collapsed.
% Rule
% [46]
% multiply(inverse(inverse(A)),C) <->
% inverse(inverse(multiply(A,multiply(C,inverse(multiply(D,inverse(D)))))))
% collapsed.
% Rule
% [48]
% multiply(inverse(inverse(A)),B) ->
% inverse(inverse(multiply(A,inverse(inverse(B))))) collapsed.
% Rule
% [193]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% inverse(inverse(multiply(multiply(b1,inverse(b1)),multiply(B,inverse(
% multiply(D,
% inverse(D)))))))
% collapsed.
% Rule
% [219]
% multiply(inverse(inverse(A)),inverse(inverse(inverse(B)))) ->
% inverse(inverse(multiply(A,inverse(B)))) collapsed.
% Rule
% [225]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C))))
% <->
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(B,C),
% inverse(b1)))))))
% collapsed.
% Rule
% [227]
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),
% inverse(multiply(B,C)))))) -> multiply(B,C)
% collapsed.
% Rule
% [228]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% multiply(b1,inverse(b1)) collapsed.
% Rule
% [230]
% inverse(inverse(inverse(multiply(B,inverse(B))))) <->
% multiply(b1,inverse(b1)) collapsed.
% Rule
% [232]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% multiply(b1,inverse(b1)) collapsed.
% Rule
% [233]
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(A,multiply(B,
% inverse(
% multiply(C,
% inverse(C))))))
% <-> inverse(inverse(inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [234]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(
% inverse(
% inverse(B)),C))))
% <-> multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [236]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% inverse(inverse(multiply(multiply(C,inverse(C)),multiply(B,inverse(multiply(D,
% inverse(D)))))))
% collapsed.
% Rule
% [255]
% multiply(A,inverse(multiply(inverse(inverse(inverse(B))),inverse(multiply(
% inverse(A),
% multiply(C,
% inverse(B)))))))
% <-> multiply(C,inverse(multiply(D,inverse(D)))) collapsed.
% Rule
% [257]
% multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),inverse(multiply(
% inverse(b1),
% multiply(
% multiply(A,
% inverse(A)),
% inverse(b1)))))))
% -> multiply(b1,inverse(b1)) collapsed.
% Rule
% [266]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),inverse(inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% <-> multiply(inverse(B),inverse(multiply(D,inverse(D)))) collapsed.
% Rule
% [287]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(inverse(
% inverse(
% multiply(B,
% inverse(B)))),C))
% -> inverse(inverse(C)) collapsed.
% Rule
% [290]
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,inverse(inverse(B)))))
% <-> inverse(inverse(multiply(inverse(B),inverse(A)))) collapsed.
% Rule
% [293]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(C,inverse(A)))))
% <-> inverse(inverse(multiply(inverse(C),inverse(B)))) collapsed.
% Rule
% [298]
% inverse(inverse(inverse(multiply(D,B)))) <->
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(multiply(inverse(A),
% inverse(D)))))
% collapsed.
% Rule
% [312]
% inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(A))))))
% -> inverse(inverse(C)) collapsed.
% Rule
% [317]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,C)))
% <-> inverse(inverse(multiply(inverse(inverse(inverse(C))),inverse(B))))
% collapsed.
% Rule
% [322]
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))))) <->
% multiply(inverse(inverse(A)),B) collapsed.
% Rule
% [323]
% multiply(inverse(inverse(A)),B) <->
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))))
% collapsed.
% Rule
% [325]
% multiply(inverse(inverse(C)),A) <->
% inverse(inverse(inverse(multiply(inverse(A),inverse(C))))) collapsed.
% Rule
% [329]
% multiply(inverse(inverse(B)),multiply(inverse(C),inverse(V_4))) ->
% inverse(inverse(multiply(B,inverse(inverse(multiply(inverse(C),inverse(V_4)))))))
% collapsed.
% Rule
% [346]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(b1,inverse(b1)) collapsed.
% Rule
% [357]
% inverse(multiply(A,inverse(multiply(inverse(inverse(B)),multiply(multiply(C,
% inverse(C)),
% multiply(A,inverse(
% multiply(D,
% inverse(D)))))))))
% -> inverse(inverse(B)) collapsed.
% Rule
% [362]
% inverse(inverse(multiply(b1,inverse(multiply(inverse(inverse(inverse(b1))),
% inverse(multiply(inverse(b1),multiply(
% multiply(A,B),
% inverse(b1)))))))))
% -> multiply(A,B) collapsed.
% Rule
% [370]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(B)))
% -> inverse(inverse(B)) collapsed.
% Rule
% [379]
% multiply(inverse(inverse(B)),C) <->
% inverse(inverse(multiply(B,inverse(inverse(inverse(inverse(inverse(multiply(
% multiply(b1,
% inverse(b1)),
% inverse(C))))))))))
% collapsed.
% Rule
% [380]
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(multiply(C,
% inverse(C)),
% multiply(A,inverse(
% multiply(D,
% inverse(D)))))))))))
% -> inverse(inverse(B)) collapsed.
% Rule
% [386]
% multiply(inverse(inverse(A)),B) ->
% inverse(inverse(multiply(A,inverse(inverse(B))))) collapsed.
% Rule [397] inverse(inverse(inverse(inverse(A)))) -> A collapsed.
% Rule
% [404]
% multiply(A,inverse(inverse(multiply(B,inverse(B))))) -> inverse(inverse(A))
% collapsed.
% Rule
% [408]
% multiply(b1,inverse(inverse(inverse(multiply(b1,inverse(inverse(b1))))))) ->
% inverse(b1) collapsed.
% Rule
% [409]
% multiply(A,inverse(inverse(inverse(multiply(inverse(B),inverse(inverse(A)))))))
% -> inverse(inverse(B)) collapsed.
% Rule
% [410]
% inverse(inverse(multiply(multiply(A,inverse(inverse(D))),inverse(inverse(
% inverse(
% multiply(C,D)))))))
% <->
% inverse(inverse(multiply(multiply(A,inverse(inverse(B))),inverse(inverse(
% inverse(
% multiply(C,B)))))))
% collapsed.
% Rule [413] multiply(A,inverse(inverse(multiply(inverse(A),C)))) -> C
% collapsed.
% Rule
% [415]
% inverse(multiply(multiply(A,B),inverse(inverse(inverse(multiply(C,inverse(
% inverse(B))))))))
% <-> multiply(C,inverse(inverse(inverse(A)))) collapsed.
% Rule
% [416]
% multiply(C,inverse(inverse(inverse(A)))) <->
% inverse(multiply(multiply(A,B),inverse(inverse(inverse(multiply(C,inverse(
% inverse(B))))))))
% collapsed.
% Rule
% [419]
% multiply(multiply(b1,inverse(b1)),inverse(inverse(inverse(A)))) <->
% inverse(inverse(multiply(multiply(B,inverse(B)),inverse(A)))) collapsed.
% Rule
% [420]
% inverse(inverse(multiply(multiply(b1,A),inverse(multiply(inverse(B),A))))) ->
% inverse(inverse(multiply(b1,inverse(inverse(B))))) collapsed.
% Rule
% [426]
% inverse(inverse(multiply(inverse(C),inverse(B)))) <->
% inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(multiply(B,
% multiply(C,
% inverse(A)))))))))
% collapsed.
% Rule
% [427]
% inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(multiply(B,
% multiply(C,
% inverse(A)))))))))
% <-> inverse(inverse(multiply(inverse(C),inverse(B)))) collapsed.
% Rule
% [430]
% multiply(C,inverse(inverse(A))) <-> inverse(multiply(inverse(A),inverse(C)))
% collapsed.
% Current number of equations to process: 4383
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [435] multiply(A,multiply(inverse(A),C)) -> C
% Current number of equations to process: 4382
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [436] multiply(b1,inverse(multiply(b1,b1))) -> inverse(b1)
% Current number of equations to process: 4381
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [437] multiply(A,inverse(multiply(inverse(B),A))) -> B
% Rule [425] multiply(inverse(A),inverse(multiply(inverse(B),inverse(A)))) -> B
% collapsed.
% Rule [428] multiply(b1,inverse(multiply(inverse(C),b1))) -> C collapsed.
% Current number of equations to process: 4380
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [438]
% multiply(multiply(b1,A),inverse(multiply(inverse(B),A))) -> multiply(b1,B)
% Current number of equations to process: 4378
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [439]
% multiply(inverse(B),inverse(A)) <->
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,B)))
% Current number of equations to process: 4376
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [440]
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,B))) <->
% multiply(inverse(B),inverse(A))
% Current number of equations to process: 4376
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [441]
% multiply(multiply(C,inverse(C)),B) <-> multiply(multiply(A,inverse(A)),B)
% Current number of equations to process: 4375
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [442]
% multiply(multiply(A,D),inverse(multiply(C,D))) <->
% multiply(multiply(A,B),inverse(multiply(C,B)))
% Current number of equations to process: 4374
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [443]
% multiply(inverse(C),inverse(B)) <->
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,C)))
% Current number of equations to process: 4373
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [444]
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,C))) <->
% multiply(inverse(C),inverse(B))
% Current number of equations to process: 4373
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [445]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(A))))) <->
% multiply(inverse(C),inverse(B))
% Current number of equations to process: 4372
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [446]
% multiply(inverse(C),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(A)))))
% Current number of equations to process: 4372
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [447]
% inverse(multiply(D,B)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(D)))
% Current number of equations to process: 4371
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [448]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(D))) <->
% inverse(multiply(D,B))
% Current number of equations to process: 4371
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [449]
% multiply(B,inverse(multiply(C,multiply(D,B)))) <->
% multiply(inverse(D),inverse(C))
% Rule
% [445]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(A))))) <->
% multiply(inverse(C),inverse(B)) collapsed.
% Current number of equations to process: 4370
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [450]
% multiply(inverse(D),inverse(C)) <->
% multiply(B,inverse(multiply(C,multiply(D,B))))
% Rule
% [446]
% multiply(inverse(C),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(A))))) collapsed.
% Current number of equations to process: 4370
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [451]
% inverse(multiply(B,inverse(multiply(C,multiply(multiply(b1,inverse(b1)),B)))))
% -> C
% Current number of equations to process: 4369
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [452]
% inverse(multiply(inverse(A),inverse(multiply(B,multiply(multiply(inverse(B),C),
% inverse(A)))))) -> C
% Current number of equations to process: 4368
% Current number of ordered equations: 0
% Current number of rules: 59
% Rule [254]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),
% multiply(C,inverse(B))))))) is composed into
% [254]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,multiply(inverse(A),C))
% Rule [135]
% multiply(D,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,inverse(multiply(C,inverse(multiply(inverse(A),multiply(D,C)))))) is composed into
% [135]
% multiply(D,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(A,multiply(inverse(A),D))
% New rule produced :
% [453]
% inverse(multiply(C,inverse(multiply(inverse(A),multiply(B,C))))) ->
% multiply(inverse(A),B)
% Current number of equations to process: 4366
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [454]
% inverse(multiply(B,inverse(multiply(C,multiply(multiply(inverse(C),D),B)))))
% -> D
% Rule
% [452]
% inverse(multiply(inverse(A),inverse(multiply(B,multiply(multiply(inverse(B),C),
% inverse(A)))))) -> C
% collapsed.
% Current number of equations to process: 4365
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [455]
% inverse(multiply(D,inverse(D))) <->
% multiply(inverse(multiply(A,B)),multiply(A,B))
% Current number of equations to process: 4364
% Current number of ordered equations: 1
% Current number of rules: 61
% Rule [455]
% inverse(multiply(D,inverse(D))) <->
% multiply(inverse(multiply(A,B)),multiply(A,B)) is composed into
% [455] inverse(multiply(D,inverse(D))) <-> inverse(multiply(b1,inverse(b1)))
% New rule produced :
% [456]
% multiply(inverse(multiply(A,B)),multiply(A,B)) <->
% inverse(multiply(D,inverse(D)))
% Current number of equations to process: 4364
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [457]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,multiply(C,B))))))
% -> C
% Current number of equations to process: 4363
% Current number of ordered equations: 0
% Current number of rules: 63
% Rule [282]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(A,inverse(multiply(B,multiply(C,A))))) is composed into
% [282]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) -> multiply(B,C)
% New rule produced :
% [458]
% inverse(multiply(A,inverse(multiply(B,multiply(C,A))))) -> multiply(B,C)
% Rule
% [451]
% inverse(multiply(B,inverse(multiply(C,multiply(multiply(b1,inverse(b1)),B)))))
% -> C collapsed.
% Rule
% [453]
% inverse(multiply(C,inverse(multiply(inverse(A),multiply(B,C))))) ->
% multiply(inverse(A),B) collapsed.
% Rule
% [454]
% inverse(multiply(B,inverse(multiply(C,multiply(multiply(inverse(C),D),B)))))
% -> D collapsed.
% Rule
% [457]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,multiply(C,B))))))
% -> C collapsed.
% Current number of equations to process: 4360
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [459]
% multiply(b1,inverse(multiply(inverse(b1),inverse(multiply(inverse(b1),
% inverse(multiply(b1,
% inverse(multiply(A,B)))))))))
% -> multiply(A,B)
% Current number of equations to process: 4358
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [460] multiply(A,inverse(multiply(B,A))) -> inverse(B)
% Rule [436] multiply(b1,inverse(multiply(b1,b1))) -> inverse(b1) collapsed.
% Rule [437] multiply(A,inverse(multiply(inverse(B),A))) -> B collapsed.
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 60
% Rule [439]
% multiply(inverse(B),inverse(A)) <->
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,B))) is composed into
% [439] multiply(inverse(B),inverse(A)) <-> inverse(multiply(A,B))
% Rule [373]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(multiply(b1,inverse(b1)),inverse(A))) is composed into
% [373] multiply(A,inverse(multiply(B,inverse(B)))) -> inverse(inverse(A))
% New rule produced : [461] multiply(multiply(A,inverse(A)),B) -> B
% Rule
% [223]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C))
% -> C collapsed.
% Rule
% [399]
% inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(C,B))))
% -> C collapsed.
% Rule [414] inverse(multiply(multiply(A,inverse(A)),inverse(C))) -> C
% collapsed.
% Rule
% [440]
% multiply(multiply(b1,inverse(b1)),inverse(multiply(A,B))) <->
% multiply(inverse(B),inverse(A)) collapsed.
% Rule
% [441]
% multiply(multiply(C,inverse(C)),B) <-> multiply(multiply(A,inverse(A)),B)
% collapsed.
% Current number of equations to process: 4361
% Current number of ordered equations: 0
% Current number of rules: 56
% Rule [443]
% multiply(inverse(C),inverse(B)) <->
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,C))) is composed into
% [443] multiply(inverse(C),inverse(B)) <-> inverse(multiply(B,C))
% Rule [235]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,C)))) is composed into
% [235]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) ->
% inverse(inverse(multiply(B,C)))
% New rule produced : [462] multiply(inverse(multiply(A,inverse(A))),C) -> C
% Rule [367] inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B))) -> B
% collapsed.
% Rule
% [444]
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,C))) <->
% multiply(inverse(C),inverse(B)) collapsed.
% Current number of equations to process: 4360
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [463]
% inverse(multiply(inverse(B),inverse(multiply(inverse(A),inverse(multiply(B,C))))))
% -> multiply(inverse(A),inverse(C))
% Rule
% [459]
% multiply(b1,inverse(multiply(inverse(b1),inverse(multiply(inverse(b1),
% inverse(multiply(b1,
% inverse(multiply(A,B)))))))))
% -> multiply(A,B) collapsed.
% Current number of equations to process: 4340
% Current number of ordered equations: 0
% Current number of rules: 55
% Rule [455]
% inverse(multiply(D,inverse(D))) <-> inverse(multiply(b1,inverse(b1))) is composed into
% [455] inverse(multiply(D,inverse(D))) <-> multiply(b1,inverse(b1))
% New rule produced :
% [464] inverse(multiply(A,inverse(A))) <-> multiply(B,inverse(B))
% Rule
% [127] inverse(multiply(B,inverse(B))) <-> inverse(multiply(A,inverse(A)))
% collapsed.
% Rule [214] inverse(multiply(C,inverse(C))) <-> multiply(b1,inverse(b1))
% collapsed.
% Rule [220] inverse(multiply(B,inverse(B))) <-> multiply(b1,inverse(b1))
% collapsed.
% Rule [363] inverse(multiply(A,inverse(A))) <-> multiply(b1,inverse(b1))
% collapsed.
% Rule [373] multiply(A,inverse(multiply(B,inverse(B)))) -> inverse(inverse(A))
% collapsed.
% Rule [417] inverse(multiply(b1,inverse(b1))) -> multiply(b1,inverse(b1))
% collapsed.
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 50
% Rule [320]
% multiply(C,multiply(inverse(A),inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(A,B),inverse(multiply(C,B)))) is composed into
% [320]
% multiply(C,multiply(inverse(A),inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(A,inverse(C)))
% Rule [295]
% multiply(C,inverse(A)) <->
% inverse(multiply(multiply(A,B),inverse(multiply(C,B)))) is composed into
% [295] multiply(C,inverse(A)) <-> inverse(multiply(A,inverse(C)))
% New rule produced :
% [465]
% inverse(multiply(multiply(A,C),inverse(multiply(B,C)))) ->
% inverse(multiply(A,inverse(B)))
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [466]
% inverse(multiply(inverse(A),multiply(inverse(multiply(B,inverse(A))),C))) <->
% multiply(inverse(C),B)
% Current number of equations to process: 4335
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [467]
% multiply(inverse(C),B) <->
% inverse(multiply(inverse(A),multiply(inverse(multiply(B,inverse(A))),C)))
% Current number of equations to process: 4335
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [468]
% multiply(inverse(multiply(A,B)),inverse(multiply(C,inverse(A)))) ->
% multiply(inverse(B),inverse(C))
% Current number of equations to process: 4335
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [469]
% multiply(multiply(inverse(A),inverse(B)),multiply(B,inverse(C))) ->
% multiply(inverse(A),inverse(C))
% Current number of equations to process: 4335
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [470]
% multiply(inverse(multiply(inverse(A),B)),inverse(multiply(C,A))) ->
% multiply(inverse(B),inverse(C))
% Current number of equations to process: 4335
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [471]
% multiply(multiply(inverse(A),B),multiply(inverse(B),inverse(C))) ->
% multiply(inverse(A),inverse(C))
% Current number of equations to process: 4335
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [472] multiply(inverse(A),A) -> multiply(b1,inverse(b1))
% Rule
% [456]
% multiply(inverse(multiply(A,B)),multiply(A,B)) <->
% inverse(multiply(D,inverse(D))) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 57
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 33 rules have been used:
% [1]
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(
% inverse(A),C))),D),
% inverse(multiply(B,D))))) -> C; trace = in the starting set
% [2] inverse(multiply(multiply(inverse(multiply(inverse(V_4),multiply(
% inverse(inverse(A)),C))),V_5),
% inverse(multiply(V_4,V_5)))) <->
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),
% inverse(multiply(B,D))))); trace = Self cp of 1
% [3] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),C)),D),
% inverse(multiply(B,D))))) <->
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(b1),C)),b1),
% inverse(multiply(b1,b1))))); trace = Self cp of 1
% [5] multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(
% multiply(
% inverse(B),C)),D),
% inverse(multiply(B,D)))))) -> C; trace = Cp of 2 and 1
% [7] inverse(multiply(multiply(inverse(multiply(inverse(D),B)),V_4),inverse(
% multiply(D,V_4))))
% <->
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(
% inverse(A),C))))); trace = Cp of 5 and 1
% [8] multiply(A,multiply(A,inverse(multiply(multiply(inverse(multiply(
% inverse(A),C)),C),
% inverse(multiply(inverse(A),C)))))) -> C; trace = in the starting set
% [9] multiply(inverse(A),multiply(A,multiply(b1,inverse(multiply(multiply(
% inverse(C),b1),
% inverse(multiply(
% inverse(b1),b1)))))))
% -> C; trace = Cp of 2 and 1
% [10] multiply(A,inverse(multiply(multiply(inverse(A),C),inverse(multiply(
% inverse(A),C)))))
% <->
% multiply(b1,inverse(multiply(multiply(inverse(A),b1),inverse(multiply(
% inverse(b1),b1))))); trace = Cp of 3 and 1
% [11] multiply(b1,inverse(multiply(multiply(inverse(A),b1),inverse(multiply(
% inverse(b1),b1)))))
% <->
% multiply(A,inverse(multiply(multiply(inverse(A),C),inverse(multiply(
% inverse(A),C))))); trace = Cp of 3 and 1
% [12] multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(b1,inverse(multiply(multiply(inverse(A),b1),inverse(multiply(
% inverse(b1),b1))))); trace = Cp of 10 and 8
% [13] multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(
% inverse(B),C),
% inverse(multiply(
% inverse(B),C)))))))
% -> B; trace = Cp of 11 and 9
% [14] multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,inverse(C))))))
% -> B; trace = Cp of 13 and 9
% [16] multiply(A,multiply(b1,inverse(multiply(multiply(inverse(C),b1),
% inverse(multiply(inverse(b1),b1)))))) <->
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(C),C),inverse(
% multiply(
% inverse(A),C)))))); trace = Self cp of 1
% [17] multiply(inverse(A),multiply(A,multiply(A,inverse(multiply(multiply(
% inverse(B),B),
% inverse(multiply(
% inverse(A),B)))))))
% -> B; trace = Cp of 16 and 9
% [18] multiply(inverse(A),multiply(A,multiply(b1,multiply(B,inverse(multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(B),D))))))))
% -> multiply(inverse(inverse(b1)),C); trace = Cp of 9 and 7
% [19] multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(b1),multiply(b1,B)); trace = Cp of 18 and 8
% [20] multiply(inverse(inverse(b1)),multiply(inverse(b1),B)) <->
% multiply(inverse(A),multiply(A,B)); trace = Cp of 18 and 8
% [27] multiply(inverse(B),multiply(B,multiply(inverse(b1),inverse(multiply(
% multiply(
% inverse(A),A),
% inverse(
% multiply(
% inverse(
% inverse(b1)),A)))))))
% -> A; trace = Cp of 20 and 17
% [34] multiply(inverse(A),multiply(b1,inverse(multiply(multiply(inverse(A),b1),
% inverse(multiply(inverse(b1),b1))))))
% <-> multiply(inverse(b1),multiply(b1,inverse(multiply(B,inverse(B))))); trace = Cp of 19 and 12
% [39] multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(inverse(A),B))))))
% <-> multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))); trace = Cp of 34 and 11
% [40] multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(b1),multiply(b1,inverse(multiply(C,inverse(C))))); trace = Cp of 39 and 9
% [50] multiply(D,inverse(multiply(multiply(inverse(multiply(C,A)),V_4),
% inverse(multiply(inverse(D),V_4))))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(b1),multiply(b1,A))),B),
% inverse(multiply(C,B)))); trace = Cp of 19 and 7
% [53] multiply(D,B) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(
% multiply(
% inverse(b1),
% multiply(b1,B))),C),
% inverse(multiply(D,C)))))); trace = Cp of 50 and 27
% [54] multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(b1),
% multiply(b1,B))),C),
% inverse(multiply(inverse(A),C))))) -> B; trace = Cp of 50 and 8
% [63] inverse(multiply(b1,inverse(b1))) <-> inverse(multiply(A,inverse(A))); trace = Cp of 50 and 40
% [70] multiply(inverse(A),multiply(inverse(B),multiply(B,inverse(multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(A,D)))))))
% -> C; trace = Cp of 53 and 9
% [78] multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(
% inverse(A),C)))))
% <-> multiply(B,inverse(multiply(D,inverse(D)))); trace = Cp of 54 and 14
% [99] inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) <->
% inverse(multiply(multiply(inverse(A),D),inverse(multiply(C,D)))); trace = Cp of 70 and 7
% [100] multiply(A,inverse(A)) <-> multiply(b1,inverse(b1)); trace = Cp of 70 and 63
% [137] multiply(B,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(B,inverse(multiply(b1,inverse(b1)))); trace = Cp of 78 and 14
% [155] multiply(multiply(inverse(A),B),inverse(multiply(C,B))) <->
% multiply(multiply(inverse(A),D),inverse(multiply(C,D))); trace = Cp of 99 and 70
% [421] multiply(multiply(inverse(A),D),inverse(multiply(B,D))) ->
% multiply(inverse(A),inverse(B)); trace = Cp of 155 and 137
% [472] multiply(inverse(A),A) -> multiply(b1,inverse(b1)); trace = Cp of 421 and 100
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 70.430000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------