TSTP Solution File: GRP429-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP429-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n170.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 00:23:04 EDT 2014
% Result : Unsatisfiable 98.29s
% Output : Refutation 98.29s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP429-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n170.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 13:14:08 CDT 2014
% % CPUTime : 98.29
% Processing problem /tmp/CiME_54907_n170.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3 : constant; multiply : 2; inverse : 1;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(B),multiply(inverse(A),C))),D),inverse(multiply(B,D))))) = C;
% ";
%
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > a3 > b3 > c3";
%
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% multiply mul;
% inverse mul;
% ";
%
% let p2 = precedence F "
% multiply > inverse > a3 = b3 = c3";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { multiply(A,inverse(multiply(multiply(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(multiply(a3,b3),c3) =
% multiply(a3,multiply(b3,c3)) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced :
% [1]
% multiply(A,inverse(multiply(multiply(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(c3),C)),c3),
% inverse(multiply(c3,c3)))))
% 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(c3),C)),c3),
% inverse(multiply(c3,c3))))) <->
% 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(c3),A)),c3),inverse(
% multiply(c3,c3))))
% 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(c3),C)),c3),
% inverse(multiply(c3,c3))))) 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(c3),C)),c3),
% inverse(multiply(c3,c3))))) <->
% 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(c3),A)),c3),inverse(
% multiply(c3,c3))))
% 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(c3,inverse(multiply(multiply(
% inverse(C),c3),
% inverse(multiply(inverse(c3),c3)))))))
% -> 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(c3,inverse(multiply(multiply(inverse(A),c3),inverse(multiply(
% inverse(c3),c3)))))
% Current number of equations to process: 29
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [11]
% multiply(c3,inverse(multiply(multiply(inverse(A),c3),inverse(multiply(
% inverse(c3),c3)))))
% <->
% 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(c3,inverse(multiply(multiply(inverse(A),c3),inverse(multiply(
% inverse(c3),c3)))))
% Rule
% [10]
% multiply(A,inverse(multiply(multiply(inverse(A),C),inverse(multiply(inverse(A),C)))))
% <->
% multiply(c3,inverse(multiply(multiply(inverse(A),c3),inverse(multiply(
% inverse(c3),c3)))))
% 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(c3,inverse(multiply(multiply(inverse(C),c3),inverse(
% multiply(
% inverse(c3),c3))))))
% 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(c3,inverse(multiply(multiply(inverse(C),c3),inverse(
% multiply(
% inverse(c3),c3))))))
% <->
% 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(c3,multiply(B,inverse(multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(B),D))))))))
% -> multiply(inverse(inverse(c3)),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(c3)),multiply(inverse(c3),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(c3)),multiply(inverse(c3),B)) is composed into
% [19]
% multiply(inverse(A),multiply(A,B)) <-> multiply(inverse(c3),multiply(c3,B))
% New rule produced :
% [20]
% multiply(inverse(inverse(c3)),multiply(inverse(c3),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(c3),multiply(c3,B))) ->
% multiply(inverse(c3),multiply(c3,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(inverse(A)),B) <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [23]
% multiply(inverse(c3),multiply(c3,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: 0
% Current number of rules: 15
% New rule produced :
% [24]
% multiply(inverse(B),multiply(B,multiply(c3,multiply(A,inverse(multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(c3)),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(c3)),A) <->
% multiply(inverse(B),multiply(B,multiply(c3,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(c3),multiply(c3,multiply(B,inverse(multiply(multiply(
% inverse(A),A),
% inverse(multiply(
% inverse(B),A)))))))
% -> A
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [27]
% multiply(inverse(B),multiply(B,multiply(inverse(c3),inverse(multiply(
% multiply(
% inverse(A),A),
% inverse(multiply(
% inverse(
% inverse(c3)),A)))))))
% -> A
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [28]
% multiply(inverse(c3),multiply(c3,multiply(c3,multiply(A,multiply(B,inverse(
% multiply(C,
% inverse(C))))))))
% <-> multiply(inverse(inverse(c3)),multiply(inverse(inverse(A)),B))
% Current number of equations to process: 266
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [29]
% multiply(inverse(inverse(c3)),multiply(inverse(inverse(A)),B)) <->
% multiply(inverse(c3),multiply(c3,multiply(c3,multiply(A,multiply(B,inverse(
% multiply(C,
% inverse(C))))))))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [30]
% multiply(inverse(C),multiply(C,multiply(c3,multiply(A,multiply(B,inverse(
% multiply(D,
% inverse(D))))))))
% <-> multiply(inverse(inverse(c3)),multiply(inverse(inverse(A)),B))
% Rule
% [28]
% multiply(inverse(c3),multiply(c3,multiply(c3,multiply(A,multiply(B,inverse(
% multiply(C,
% inverse(C))))))))
% <-> multiply(inverse(inverse(c3)),multiply(inverse(inverse(A)),B)) collapsed.
% Current number of equations to process: 265
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [31]
% multiply(inverse(inverse(c3)),multiply(inverse(inverse(A)),B)) <->
% multiply(inverse(C),multiply(C,multiply(c3,multiply(A,multiply(B,inverse(
% multiply(D,
% inverse(D))))))))
% Rule
% [29]
% multiply(inverse(inverse(c3)),multiply(inverse(inverse(A)),B)) <->
% multiply(inverse(c3),multiply(c3,multiply(c3,multiply(A,multiply(B,inverse(
% multiply(C,
% inverse(C))))))))
% collapsed.
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [32]
% multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),C)) <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,multiply(C,inverse(
% multiply(D,
% inverse(D))))))))
% Current number of equations to process: 264
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [33]
% multiply(inverse(c3),multiply(c3,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: 264
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [34]
% multiply(inverse(A),multiply(c3,inverse(multiply(multiply(inverse(A),c3),
% inverse(multiply(inverse(c3),c3))))))
% <-> multiply(inverse(c3),multiply(c3,inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [35]
% multiply(inverse(c3),multiply(c3,inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(c3,inverse(c3)))))
% Current number of equations to process: 260
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [36]
% multiply(inverse(c3),multiply(c3,inverse(multiply(c3,inverse(c3))))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [37]
% multiply(inverse(C),multiply(C,multiply(c3,multiply(A,inverse(multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(c3,multiply(A,inverse(multiply(B,
% inverse(B)))))))
% Current number of equations to process: 259
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [38]
% multiply(inverse(c3),multiply(c3,multiply(c3,multiply(A,inverse(multiply(B,
% inverse(B)))))))
% <->
% multiply(inverse(C),multiply(C,multiply(c3,multiply(A,inverse(multiply(D,
% inverse(D)))))))
% Current number of equations to process: 259
% 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(c3),multiply(c3,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 377
% 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(c3),multiply(c3,inverse(multiply(C,inverse(C)))))
% Rule
% [35]
% multiply(inverse(c3),multiply(c3,inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(c3,inverse(c3)))))
% collapsed.
% Rule
% [36]
% multiply(inverse(c3),multiply(c3,inverse(multiply(c3,inverse(c3))))) <->
% multiply(inverse(c3),multiply(c3,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(c3),multiply(c3,inverse(multiply(C,inverse(C)))))
% collapsed.
% Current number of equations to process: 430
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [41]
% multiply(inverse(inverse(inverse(c3))),multiply(inverse(A),multiply(A,
% multiply(c3,
% multiply(B,
% inverse(multiply(C,
% inverse(C))))))))
% -> multiply(inverse(c3),multiply(c3,B))
% Current number of equations to process: 444
% 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: 455
% 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: 455
% 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: 462
% 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: 537
% 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: 537
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [47]
% multiply(inverse(inverse(A)),B) <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(c3,inverse(multiply(
% multiply(
% inverse(B),c3),
% inverse(
% multiply(
% inverse(c3),c3))))))))
% Current number of equations to process: 663
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [48]
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(c3,inverse(multiply(
% multiply(
% inverse(B),c3),
% inverse(
% multiply(
% inverse(c3),c3))))))))
% <-> multiply(inverse(inverse(A)),B)
% Current number of equations to process: 663
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [49]
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,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: 737
% 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(c3),multiply(c3,A))),B),
% inverse(multiply(C,B))))
% Current number of equations to process: 737
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [51]
% multiply(c3,multiply(c3,multiply(A,inverse(multiply(multiply(inverse(
% multiply(
% inverse(c3),B)),C),
% inverse(multiply(inverse(A),C)))))))
% -> multiply(c3,B)
% Current number of equations to process: 780
% 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(c3),
% multiply(c3,B))),C),
% inverse(multiply(D,C)))))) <->
% multiply(D,B)
% Current number of equations to process: 880
% 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(c3),
% multiply(c3,B))),C),
% inverse(multiply(D,C))))))
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [54]
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,B))),C),
% inverse(multiply(inverse(A),C))))) -> B
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [55]
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,multiply(B,A)))),C),
% inverse(multiply(inverse(B),C)))) -> A
% Current number of equations to process: 919
% 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(c3,inverse(multiply(multiply(inverse(B),c3),inverse(multiply(
% inverse(c3),c3)))))
% Rule
% [15]
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(C),C),inverse(
% multiply(
% inverse(A),C))))))
% <->
% multiply(A,multiply(c3,inverse(multiply(multiply(inverse(C),c3),inverse(
% multiply(
% inverse(c3),c3))))))
% collapsed.
% Current number of equations to process: 930
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [57]
% multiply(c3,inverse(multiply(multiply(inverse(B),c3),inverse(multiply(
% inverse(c3),c3)))))
% <->
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(A),C)))))
% Rule
% [11]
% multiply(c3,inverse(multiply(multiply(inverse(A),c3),inverse(multiply(
% inverse(c3),c3)))))
% <->
% multiply(A,inverse(multiply(multiply(inverse(A),C),inverse(multiply(inverse(A),C)))))
% collapsed.
% Rule
% [16]
% multiply(A,multiply(c3,inverse(multiply(multiply(inverse(C),c3),inverse(
% multiply(
% inverse(c3),c3))))))
% <->
% multiply(A,multiply(A,inverse(multiply(multiply(inverse(C),C),inverse(
% multiply(
% inverse(A),C))))))
% collapsed.
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [58]
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,B))),D),
% inverse(multiply(inverse(inverse(A)),D)))) <->
% multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 940
% 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(c3),multiply(c3,B))),D),
% inverse(multiply(inverse(inverse(A)),D))))
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [60]
% multiply(c3,multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(c3,multiply(A,inverse(multiply(c3,inverse(c3)))))
% Current number of equations to process: 939
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [61]
% multiply(c3,multiply(A,inverse(multiply(c3,inverse(c3))))) <->
% multiply(c3,multiply(A,inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 939
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [62]
% multiply(c3,multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(c3,multiply(A,inverse(multiply(C,inverse(C)))))
% Rule
% [60]
% multiply(c3,multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(c3,multiply(A,inverse(multiply(c3,inverse(c3))))) collapsed.
% Rule
% [61]
% multiply(c3,multiply(A,inverse(multiply(c3,inverse(c3))))) <->
% multiply(c3,multiply(A,inverse(multiply(B,inverse(B))))) collapsed.
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 43
% 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(c3,inverse(c3)))))
% New rule produced :
% [63]
% inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(B),C)))) <->
% inverse(multiply(A,inverse(A)))
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [64] inverse(multiply(c3,inverse(c3))) <-> inverse(multiply(A,inverse(A)))
% Current number of equations to process: 941
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [65] inverse(multiply(A,inverse(A))) <-> inverse(multiply(c3,inverse(c3)))
% Rule
% [63]
% inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(B),C)))) <->
% inverse(multiply(A,inverse(A))) collapsed.
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [66]
% 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(c3,multiply(c3,multiply(A,inverse(multiply(multiply(inverse(
% multiply(
% inverse(c3),B)),C),
% inverse(multiply(inverse(A),C)))))))
% -> multiply(c3,B) collapsed.
% Current number of equations to process: 965
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [67]
% 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: 983
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [68]
% 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: 983
% 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(c3,C)),D),
% inverse(multiply(inverse(B),D)))))))
% -> multiply(c3,C)
% Current number of equations to process: 982
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [70]
% 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
% [69]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(inverse(
% multiply(c3,C)),D),
% inverse(multiply(inverse(B),D)))))))
% -> multiply(c3,C) collapsed.
% Current number of equations to process: 1033
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [71]
% multiply(inverse(A),multiply(A,multiply(c3,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <->
% multiply(inverse(D),multiply(D,multiply(c3,multiply(B,inverse(multiply(V_4,
% inverse(V_4)))))))
% Rule
% [37]
% multiply(inverse(C),multiply(C,multiply(c3,multiply(A,inverse(multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(c3,multiply(A,inverse(multiply(B,
% inverse(B)))))))
% collapsed.
% Rule
% [38]
% multiply(inverse(c3),multiply(c3,multiply(c3,multiply(A,inverse(multiply(B,
% inverse(B)))))))
% <->
% multiply(inverse(C),multiply(C,multiply(c3,multiply(A,inverse(multiply(D,
% inverse(D)))))))
% collapsed.
% Current number of equations to process: 1040
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [72]
% 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: 1051
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [73]
% multiply(inverse(A),multiply(A,B)) <-> multiply(inverse(C),multiply(C,B))
% Rule
% [19]
% multiply(inverse(A),multiply(A,B)) <-> multiply(inverse(c3),multiply(c3,B))
% collapsed.
% Rule
% [20]
% multiply(inverse(inverse(c3)),multiply(inverse(c3),B)) <->
% multiply(inverse(A),multiply(A,B)) collapsed.
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [74]
% multiply(inverse(inverse(A)),multiply(inverse(B),multiply(B,C))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,C)))
% Rule
% [21]
% multiply(inverse(inverse(A)),multiply(inverse(c3),multiply(c3,B))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,B))) collapsed.
% Rule
% [41]
% multiply(inverse(inverse(inverse(c3))),multiply(inverse(A),multiply(A,
% multiply(c3,
% multiply(B,
% inverse(multiply(C,
% inverse(C))))))))
% -> multiply(inverse(c3),multiply(c3,B)) collapsed.
% Current number of equations to process: 1058
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [75]
% multiply(inverse(C),multiply(C,multiply(A,multiply(B,inverse(multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(A)),B)
% Rule
% [23]
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(A)),B) collapsed.
% Rule
% [24]
% multiply(inverse(B),multiply(B,multiply(c3,multiply(A,inverse(multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(c3)),A) collapsed.
% Current number of equations to process: 1061
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [76]
% 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(c3,multiply(A,multiply(B,inverse(
% multiply(D,
% inverse(D))))))))
% <-> multiply(inverse(inverse(c3)),multiply(inverse(inverse(A)),B)) collapsed.
% Rule
% [33]
% multiply(inverse(c3),multiply(c3,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: 1070
% Current number of ordered equations: 0
% Current number of rules: 43
% Rule [49]
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,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(c3),multiply(c3,A))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,A),inverse(multiply(D,inverse(D))))
% Rule [47]
% multiply(inverse(inverse(A)),B) <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(c3,inverse(
% multiply(
% multiply(
% inverse(B),c3),
% inverse(
% multiply(
% inverse(c3),c3)))))))) is composed into
% [47]
% multiply(inverse(inverse(A)),B) <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,inverse(multiply(c3,
% inverse(c3)))))))
% 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(c3,inverse(c3)))))
% Rule [12]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(c3,inverse(multiply(multiply(inverse(A),c3),inverse(multiply(
% inverse(c3),c3))))) is composed into
% [12]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(A,inverse(multiply(c3,inverse(c3))))
% 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(c3,inverse(c3))))
% New rule produced :
% [77]
% 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(c3,inverse(multiply(multiply(
% inverse(C),c3),
% inverse(multiply(inverse(c3),c3)))))))
% -> 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(c3,multiply(B,inverse(multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(B),D))))))))
% -> multiply(inverse(inverse(c3)),C) collapsed.
% Rule
% [26]
% multiply(inverse(c3),multiply(c3,multiply(B,inverse(multiply(multiply(
% inverse(A),A),
% inverse(multiply(
% inverse(B),A)))))))
% -> A collapsed.
% Rule
% [27]
% multiply(inverse(B),multiply(B,multiply(inverse(c3),inverse(multiply(
% multiply(
% inverse(A),A),
% inverse(multiply(
% inverse(
% inverse(c3)),A)))))))
% -> A collapsed.
% Rule
% [34]
% multiply(inverse(A),multiply(c3,inverse(multiply(multiply(inverse(A),c3),
% inverse(multiply(inverse(c3),c3))))))
% <-> multiply(inverse(c3),multiply(c3,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(c3,inverse(c3))))) 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
% [48]
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(c3,inverse(multiply(
% multiply(
% inverse(B),c3),
% inverse(
% multiply(
% inverse(c3),c3))))))))
% <-> 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(c3),multiply(c3,A))),B),
% inverse(multiply(C,B)))) collapsed.
% Rule
% [54]
% multiply(A,inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,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(c3,inverse(multiply(multiply(inverse(B),c3),inverse(multiply(
% inverse(c3),c3)))))
% collapsed.
% Rule
% [57]
% multiply(c3,inverse(multiply(multiply(inverse(B),c3),inverse(multiply(
% inverse(c3),c3)))))
% <->
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(A),C)))))
% collapsed.
% Rule
% [66]
% multiply(A,multiply(B,inverse(multiply(multiply(inverse(multiply(inverse(A),C)),D),
% inverse(multiply(inverse(B),D)))))) -> C
% collapsed.
% Rule
% [70]
% 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: 1109
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [78]
% multiply(multiply(inverse(c3),multiply(c3,B)),inverse(multiply(c3,inverse(c3))))
% -> B
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [79]
% multiply(A,multiply(multiply(inverse(A),C),inverse(multiply(D,inverse(D)))))
% -> C
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [80]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,inverse(C))))
% -> B
% Rule
% [78]
% multiply(multiply(inverse(c3),multiply(c3,B)),inverse(multiply(c3,inverse(c3))))
% -> B collapsed.
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [81]
% 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(c3),multiply(c3,multiply(B,A)))),C),
% inverse(multiply(inverse(B),C)))) -> A collapsed.
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [82]
% 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: 1159
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [83]
% 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: 1159
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [84]
% 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(c3),
% multiply(c3,B))),C),
% inverse(multiply(D,C)))))) <->
% multiply(D,B) collapsed.
% Current number of equations to process: 1158
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [85]
% 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: 1163
% Current number of ordered equations: 1
% Current number of rules: 34
% Rule [85]
% multiply(A,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(multiply(inverse(inverse(A)),B),inverse(multiply(C,inverse(C)))) is composed into
% [85]
% multiply(A,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(A,multiply(B,inverse(multiply(c3,inverse(c3)))))
% New rule produced :
% [86]
% 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: 1163
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [87]
% 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(c3),multiply(c3,B))),D),
% inverse(multiply(inverse(inverse(A)),D)))) <->
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) collapsed.
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [88]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(B,
% inverse(B))))))
% -> multiply(A,inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 1197
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [89]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(c3)))))
% -> inverse(multiply(c3,inverse(c3)))
% Current number of equations to process: 1204
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [90]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),A),inverse(
% multiply(B,A))))
% <-> multiply(inverse(inverse(B)),inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 1213
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [91]
% multiply(inverse(inverse(B)),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),A),inverse(
% multiply(B,A))))
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [92]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(A)))))
% -> inverse(multiply(c3,inverse(c3)))
% Rule
% [88]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(B,
% inverse(B))))))
% -> multiply(A,inverse(multiply(c3,inverse(c3)))) collapsed.
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [93]
% multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,A))),A),inverse(
% multiply(B,
% inverse(B))))
% -> inverse(multiply(c3,inverse(c3)))
% Current number of equations to process: 1220
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [94]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),
% multiply(B,inverse(multiply(C,
% inverse(C))))))
% -> B
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [95]
% inverse(multiply(multiply(inverse(multiply(inverse(c3),A)),inverse(c3)),
% inverse(multiply(B,inverse(B))))) ->
% multiply(A,inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [96]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(multiply(A,inverse(A)),
% multiply(B,inverse(multiply(C,
% inverse(C))))))
% -> B
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [97]
% inverse(multiply(multiply(inverse(multiply(inverse(A),B)),inverse(A)),
% inverse(multiply(c3,inverse(c3))))) ->
% multiply(B,inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [98]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),multiply(B,
% inverse(
% multiply(C,
% inverse(C)))))))
% Current number of equations to process: 1287
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [99]
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),multiply(B,
% inverse(
% multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B)
% Current number of equations to process: 1287
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [100]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),
% inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 1286
% Current number of ordered equations: 1
% Current number of rules: 47
% Rule [100]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),
% inverse(multiply(B,inverse(B))))) is composed into
% [100]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(c3,inverse(c3)))))
% New rule produced :
% [101]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),
% inverse(multiply(B,inverse(B)))))
% <-> multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 1286
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [102]
% multiply(inverse(c3),multiply(c3,multiply(multiply(B,inverse(B)),multiply(A,
% inverse(
% multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(multiply(c3,inverse(c3)))),A)
% Current number of equations to process: 1283
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [103]
% multiply(inverse(inverse(multiply(c3,inverse(c3)))),A) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(B,inverse(B)),multiply(A,
% inverse(
% multiply(C,
% inverse(C)))))))
% Current number of equations to process: 1283
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [104]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(c3,inverse(c3))),multiply(multiply(A,inverse(A)),
% inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 1282
% Current number of ordered equations: 1
% Current number of rules: 51
% Rule [104]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(c3,inverse(c3))),multiply(multiply(A,inverse(A)),
% inverse(multiply(B,inverse(B))))) is composed into
% [104]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(c3,inverse(c3)))))
% New rule produced :
% [105]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(multiply(A,inverse(A)),
% inverse(multiply(B,inverse(B)))))
% <-> multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 1282
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [106]
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,A))),
% inverse(B)),inverse(multiply(c3,inverse(c3))))) <->
% multiply(multiply(B,A),inverse(multiply(C,inverse(C))))
% Current number of equations to process: 1278
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [107]
% multiply(multiply(B,A),inverse(multiply(C,inverse(C)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,A))),
% inverse(B)),inverse(multiply(c3,inverse(c3)))))
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [108]
% multiply(C,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),inverse(C)),
% inverse(multiply(c3,inverse(c3)))))))
% Current number of equations to process: 1277
% Current number of ordered equations: 1
% Current number of rules: 55
% Rule [108]
% multiply(C,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),
% inverse(C)),inverse(
% multiply(c3,
% inverse(c3))))))) is composed into
% [108]
% multiply(C,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(C,multiply(B,inverse(multiply(c3,inverse(c3)))))
% New rule produced :
% [109]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),inverse(C)),
% inverse(multiply(c3,inverse(c3)))))))
% <-> multiply(C,multiply(B,inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [110]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),inverse(c3)),
% inverse(multiply(C,inverse(C)))))))
% <-> multiply(c3,multiply(B,inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [111]
% 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: 1295
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [112] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3))
% Rule
% [12]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(A,inverse(multiply(c3,inverse(c3)))) collapsed.
% Rule
% [44]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% multiply(A,multiply(B,inverse(multiply(c3,inverse(c3))))) collapsed.
% Rule
% [65] inverse(multiply(A,inverse(A))) <-> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Rule
% [85]
% multiply(A,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(A,multiply(B,inverse(multiply(c3,inverse(c3))))) collapsed.
% Rule
% [100]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(c3,inverse(c3)))))
% collapsed.
% Rule
% [104]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(c3,inverse(c3)))))
% collapsed.
% Rule
% [108]
% multiply(C,multiply(B,inverse(multiply(D,inverse(D))))) <->
% multiply(C,multiply(B,inverse(multiply(c3,inverse(c3))))) collapsed.
% Current number of equations to process: 1325
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced : [113] multiply(c3,inverse(c3)) <-> multiply(A,inverse(A))
% Rule
% [64] inverse(multiply(c3,inverse(c3))) <-> inverse(multiply(A,inverse(A)))
% collapsed.
% Current number of equations to process: 1325
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [114]
% multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(c3,inverse(c3)))))
% Current number of equations to process: 1349
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [115]
% multiply(inverse(A),multiply(A,inverse(multiply(c3,inverse(c3))))) <->
% multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 1349
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [116]
% multiply(inverse(C),multiply(C,multiply(inverse(D),multiply(D,B)))) <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(A),multiply(A,B))))
% Current number of equations to process: 1365
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [117]
% multiply(inverse(c3),multiply(c3,multiply(inverse(A),multiply(A,B)))) <->
% multiply(inverse(C),multiply(C,multiply(inverse(D),multiply(D,B))))
% Current number of equations to process: 1365
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [118]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(multiply(D,B),inverse(multiply(c3,inverse(c3))))
% Rule
% [81]
% 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: 1391
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [119]
% multiply(multiply(D,B),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C))))
% Current number of equations to process: 1391
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [120]
% 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(c3),multiply(c3,A))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,A),inverse(multiply(D,inverse(D)))) collapsed.
% Rule
% [118]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(multiply(D,B),inverse(multiply(c3,inverse(c3)))) collapsed.
% Current number of equations to process: 1390
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [121]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(
% inverse(C),D),B)))))
% -> multiply(D,inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 1399
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [122]
% multiply(inverse(inverse(c3)),multiply(A,inverse(multiply(B,inverse(B)))))
% <->
% multiply(inverse(inverse(c3)),multiply(A,inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 1438
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [123]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(A,inverse(multiply(C,inverse(C))))
% Rule
% [62]
% multiply(c3,multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(c3,multiply(A,inverse(multiply(C,inverse(C))))) collapsed.
% Rule
% [122]
% multiply(inverse(inverse(c3)),multiply(A,inverse(multiply(B,inverse(B)))))
% <->
% multiply(inverse(inverse(c3)),multiply(A,inverse(multiply(C,inverse(C)))))
% collapsed.
% Current number of equations to process: 1443
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [124] inverse(multiply(B,inverse(B))) <-> inverse(multiply(A,inverse(A)))
% Rule
% [123]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(A,inverse(multiply(C,inverse(C)))) collapsed.
% Current number of equations to process: 1475
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [125]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B)
% Current number of equations to process: 1474
% Current number of ordered equations: 1
% Current number of rules: 58
% Rule [125]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B) is composed into
% [125]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(c3,inverse(c3)))))
% New rule produced :
% [126]
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C)))))
% Rule
% [93]
% multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,A))),A),inverse(
% multiply(B,
% inverse(B))))
% -> inverse(multiply(c3,inverse(c3))) collapsed.
% Current number of equations to process: 1474
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [127]
% 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(c3,inverse(c3)))) collapsed.
% Current number of equations to process: 1478
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [128]
% 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: 1478
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [129]
% 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: 1483
% Current number of ordered equations: 3
% Current number of rules: 60
% New rule produced :
% [130]
% 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: 1483
% Current number of ordered equations: 2
% Current number of rules: 61
% Rule [129]
% 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
% [129]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(B,inverse(multiply(c3,inverse(c3))))
% New rule produced :
% [131]
% 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: 1483
% Current number of ordered equations: 1
% Current number of rules: 62
% Rule [107]
% multiply(multiply(B,A),inverse(multiply(C,inverse(C)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,A))),
% inverse(B)),inverse(multiply(c3,inverse(c3))))) is composed into
% [107]
% multiply(multiply(B,A),inverse(multiply(C,inverse(C)))) <->
% inverse(multiply(c3,inverse(multiply(multiply(inverse(c3),multiply(c3,c3)),
% inverse(multiply(inverse(c3),multiply(multiply(
% inverse(
% multiply(
% inverse(c3),
% multiply(c3,A))),
% inverse(B)),c3)))))))
% New rule produced :
% [132]
% 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
% [86]
% multiply(multiply(inverse(inverse(A)),B),inverse(multiply(C,inverse(C)))) <->
% multiply(A,multiply(B,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [95]
% inverse(multiply(multiply(inverse(multiply(inverse(c3),A)),inverse(c3)),
% inverse(multiply(B,inverse(B))))) ->
% multiply(A,inverse(multiply(c3,inverse(c3)))) collapsed.
% Rule
% [97]
% inverse(multiply(multiply(inverse(multiply(inverse(A),B)),inverse(A)),
% inverse(multiply(c3,inverse(c3))))) ->
% multiply(B,inverse(multiply(c3,inverse(c3)))) collapsed.
% Rule
% [106]
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,A))),
% inverse(B)),inverse(multiply(c3,inverse(c3))))) <->
% multiply(multiply(B,A),inverse(multiply(C,inverse(C)))) collapsed.
% Current number of equations to process: 1487
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [133]
% 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: 1485
% Current number of ordered equations: 3
% Current number of rules: 60
% New rule produced :
% [134]
% 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: 1485
% Current number of ordered equations: 2
% Current number of rules: 61
% Rule [134]
% 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 [134]
% multiply(B,inverse(
% multiply(V_4,
% inverse(V_4))))
% <->
% multiply(B,inverse(
% multiply(c3,
% inverse(c3))))
% New rule produced :
% [135]
% 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: 1485
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [136]
% 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: 1485
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [137]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(c3)))) ->
% multiply(c3,inverse(c3))
% Rule
% [89]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(c3)))))
% -> inverse(multiply(c3,inverse(c3))) collapsed.
% Current number of equations to process: 1740
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [138]
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(c3,
% inverse(c3))))) <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(B,inverse(B))))
% Current number of equations to process: 1746
% Current number of ordered equations: 1
% Current number of rules: 64
% Rule [138]
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(c3,
% inverse(c3)))))
% <-> multiply(multiply(c3,inverse(c3)),inverse(multiply(B,inverse(B)))) is composed into
% [138]
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(c3,
% inverse(c3))))) <->
% multiply(c3,multiply(inverse(inverse(inverse(c3))),inverse(multiply(c3,
% inverse(c3)))))
% New rule produced :
% [139]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(B,inverse(B)))) <->
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(c3,
% inverse(c3)))))
% Rule
% [92]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(A)))))
% -> inverse(multiply(c3,inverse(c3))) collapsed.
% Rule
% [101]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),
% inverse(multiply(B,inverse(B)))))
% <-> multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C)))))
% collapsed.
% Current number of equations to process: 1748
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [140]
% inverse(multiply(c3,multiply(inverse(inverse(inverse(c3))),inverse(multiply(c3,
% inverse(c3))))))
% -> inverse(multiply(c3,inverse(c3)))
% Current number of equations to process: 1747
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [141]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(B),multiply(B,
% multiply(c3,
% inverse(c3)))))))
% -> inverse(multiply(c3,inverse(c3)))
% Current number of equations to process: 1746
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [142]
% multiply(A,multiply(c3,multiply(inverse(inverse(inverse(c3))),inverse(
% multiply(c3,
% inverse(c3))))))
% -> inverse(inverse(A))
% Current number of equations to process: 1776
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [143]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(c3,
% inverse(c3))),B),
% inverse(multiply(C,B)))))) ->
% inverse(inverse(C))
% Current number of equations to process: 1825
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [144]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),B))
% Current number of equations to process: 1860
% Current number of ordered equations: 1
% Current number of rules: 68
% Rule [144]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),B)) is composed into
% [144]
% multiply(inverse(C),multiply(C,B)) <-> multiply(inverse(c3),multiply(c3,B))
% New rule produced :
% [145]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),B))
% <-> multiply(inverse(C),multiply(C,B))
% Rule
% [94]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),
% multiply(B,inverse(multiply(C,
% inverse(C))))))
% -> B collapsed.
% Current number of equations to process: 1860
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [146]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(inverse(inverse(multiply(C,inverse(C))))),multiply(inverse(
% inverse(
% multiply(c3,
% inverse(c3)))),B))
% Current number of equations to process: 1859
% Current number of ordered equations: 1
% Current number of rules: 69
% Rule [146]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(inverse(inverse(multiply(C,inverse(C))))),multiply(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3)))),B)) is composed into
% [146]
% multiply(inverse(A),multiply(A,B)) <-> multiply(inverse(c3),multiply(c3,B))
% New rule produced :
% [147]
% multiply(inverse(inverse(inverse(multiply(C,inverse(C))))),multiply(inverse(
% inverse(
% multiply(c3,
% inverse(c3)))),B))
% <-> multiply(inverse(A),multiply(A,B))
% Current number of equations to process: 1859
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [148]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(multiply(c3,inverse(c3))),multiply(multiply(A,inverse(A)),B))
% Current number of equations to process: 1874
% Current number of ordered equations: 1
% Current number of rules: 71
% Rule [148]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(multiply(c3,inverse(c3))),multiply(multiply(A,inverse(A)),B)) is composed into
% [148]
% multiply(inverse(C),multiply(C,B)) <-> multiply(inverse(c3),multiply(c3,B))
% New rule produced :
% [149]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(multiply(A,inverse(A)),B))
% <-> multiply(inverse(C),multiply(C,B))
% Rule
% [96]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(multiply(A,inverse(A)),
% multiply(B,inverse(multiply(C,
% inverse(C))))))
% -> B collapsed.
% Rule
% [105]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(multiply(A,inverse(A)),
% inverse(multiply(B,inverse(B)))))
% <-> multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C)))))
% collapsed.
% Current number of equations to process: 1874
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [150]
% multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),multiply(
% inverse(
% inverse(
% multiply(C,
% inverse(C)))),B))
% <-> multiply(inverse(A),multiply(A,B))
% Current number of equations to process: 1873
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [151]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <->
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),multiply(B,multiply(c3,
% inverse(c3))))))
% Current number of equations to process: 1872
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [152]
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),multiply(B,multiply(c3,
% inverse(c3))))))
% <->
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% Current number of equations to process: 1872
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [153]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% Rule
% [98]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),multiply(B,
% inverse(
% multiply(C,
% inverse(C)))))))
% collapsed.
% Current number of equations to process: 1870
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [154]
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B)
% Rule
% [99]
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),multiply(B,
% inverse(
% multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B) collapsed.
% Current number of equations to process: 1870
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(c3,inverse(c3)))),A)
% Rule
% [102]
% multiply(inverse(c3),multiply(c3,multiply(multiply(B,inverse(B)),multiply(A,
% inverse(
% multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(multiply(c3,inverse(c3)))),A) collapsed.
% Current number of equations to process: 1869
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [156]
% multiply(inverse(inverse(multiply(c3,inverse(c3)))),A) <->
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% Rule
% [103]
% multiply(inverse(inverse(multiply(c3,inverse(c3)))),A) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(B,inverse(B)),multiply(A,
% inverse(
% multiply(C,
% inverse(C)))))))
% collapsed.
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 1875
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [158]
% multiply(inverse(inverse(C)),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% Current number of equations to process: 1875
% Current number of ordered equations: 0
% Current number of rules: 75
% Rule [139]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(B,inverse(B)))) <->
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(c3,
% inverse(c3))))) is composed into
% [139]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(B,inverse(B)))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(inverse(A)),multiply(
% inverse(A),
% inverse(
% multiply(c3,
% inverse(c3))))))))
% New rule produced :
% [159]
% multiply(C,multiply(inverse(B),inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(c3,
% inverse(c3))))))))
% Rule
% [138]
% multiply(A,multiply(inverse(inverse(inverse(A))),inverse(multiply(c3,
% inverse(c3))))) <->
% multiply(c3,multiply(inverse(inverse(inverse(c3))),inverse(multiply(c3,
% inverse(c3)))))
% collapsed.
% Rule
% [140]
% inverse(multiply(c3,multiply(inverse(inverse(inverse(c3))),inverse(multiply(c3,
% inverse(c3))))))
% -> inverse(multiply(c3,inverse(c3))) collapsed.
% Rule
% [142]
% multiply(A,multiply(c3,multiply(inverse(inverse(inverse(c3))),inverse(
% multiply(c3,
% inverse(c3))))))
% -> inverse(inverse(A)) collapsed.
% Current number of equations to process: 1938
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [160]
% multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(c3,
% inverse(c3))))))))
% <-> multiply(C,multiply(inverse(B),inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 1938
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [161]
% multiply(C,multiply(inverse(B),inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(D,
% inverse(D))))))))
% Rule
% [159]
% multiply(C,multiply(inverse(B),inverse(multiply(D,inverse(D))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(c3,
% inverse(c3))))))))
% collapsed.
% Current number of equations to process: 1937
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [162]
% multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(D,
% inverse(D))))))))
% <-> multiply(C,multiply(inverse(B),inverse(multiply(V_4,inverse(V_4)))))
% Rule
% [160]
% multiply(inverse(A),multiply(A,inverse(multiply(B,multiply(inverse(C),
% inverse(multiply(c3,
% inverse(c3))))))))
% <-> multiply(C,multiply(inverse(B),inverse(multiply(D,inverse(D)))))
% collapsed.
% Current number of equations to process: 1937
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [163]
% inverse(multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(c3),
% multiply(c3,inverse(
% multiply(c3,
% inverse(c3)))))))))
% -> inverse(multiply(c3,inverse(c3)))
% Current number of equations to process: 1938
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [164]
% multiply(A,multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(c3),
% multiply(c3,inverse(
% multiply(c3,
% inverse(c3)))))))))
% -> inverse(inverse(A))
% Current number of equations to process: 1937
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [165]
% inverse(multiply(multiply(inverse(B),inverse(A)),inverse(multiply(c3,
% inverse(c3))))) <->
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(
% multiply(D,
% inverse(D))))
% Current number of equations to process: 1943
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [166]
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(
% multiply(D,
% inverse(D))))
% <->
% inverse(multiply(multiply(inverse(B),inverse(A)),inverse(multiply(c3,
% inverse(c3)))))
% Current number of equations to process: 1943
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [167]
% inverse(multiply(multiply(inverse(A),inverse(c3)),inverse(multiply(D,
% inverse(D))))) <->
% multiply(multiply(c3,multiply(A,inverse(multiply(B,inverse(B))))),inverse(
% multiply(C,
% inverse(C))))
% Rule
% [110]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),inverse(c3)),
% inverse(multiply(C,inverse(C)))))))
% <-> multiply(c3,multiply(B,inverse(multiply(D,inverse(D))))) collapsed.
% Current number of equations to process: 1969
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [168]
% multiply(multiply(inverse(A),B),inverse(multiply(C,B))) <->
% multiply(multiply(inverse(A),D),inverse(multiply(C,D)))
% Rule
% [111]
% 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: 2024
% Current number of ordered equations: 0
% Current number of rules: 78
% Rule [151]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <->
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),multiply(B,
% multiply(c3,
% inverse(c3)))))) is composed into
% [151]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(c3,inverse(c3))))
% New rule produced :
% [169]
% multiply(inverse(A),multiply(A,multiply(c3,inverse(c3)))) ->
% multiply(c3,inverse(c3))
% Rule
% [141]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(inverse(B),multiply(B,
% multiply(c3,
% inverse(c3)))))))
% -> inverse(multiply(c3,inverse(c3))) collapsed.
% Rule
% [152]
% multiply(inverse(inverse(A)),inverse(multiply(inverse(B),multiply(B,multiply(c3,
% inverse(c3))))))
% <->
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% collapsed.
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [170]
% multiply(inverse(inverse(A)),multiply(c3,inverse(c3))) ->
% multiply(inverse(c3),multiply(c3,inverse(inverse(A))))
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [171]
% multiply(inverse(A),multiply(c3,inverse(c3))) <->
% multiply(inverse(B),multiply(B,inverse(A)))
% Rule
% [170]
% multiply(inverse(inverse(A)),multiply(c3,inverse(c3))) ->
% multiply(inverse(c3),multiply(c3,inverse(inverse(A)))) collapsed.
% Current number of equations to process: 2034
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [172]
% multiply(inverse(B),multiply(B,inverse(A))) <->
% multiply(inverse(A),multiply(c3,inverse(c3)))
% Current number of equations to process: 2034
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [173]
% multiply(multiply(inverse(A),multiply(c3,inverse(c3))),inverse(multiply(B,
% inverse(B))))
% -> inverse(A)
% Current number of equations to process: 2054
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [174]
% multiply(inverse(B),multiply(B,inverse(c3))) <->
% multiply(inverse(c3),multiply(A,inverse(A)))
% Current number of equations to process: 2055
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [175]
% multiply(inverse(c3),multiply(A,inverse(A))) <->
% multiply(inverse(B),multiply(B,inverse(c3)))
% Current number of equations to process: 2055
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [176]
% multiply(multiply(inverse(c3),multiply(A,inverse(A))),inverse(multiply(B,
% inverse(B))))
% -> inverse(c3)
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [177]
% multiply(inverse(A),multiply(A,multiply(c3,multiply(c3,inverse(c3))))) <->
% multiply(inverse(inverse(c3)),multiply(B,inverse(B)))
% Current number of equations to process: 2061
% Current number of ordered equations: 1
% Current number of rules: 84
% Rule [177]
% multiply(inverse(A),multiply(A,multiply(c3,multiply(c3,inverse(c3)))))
% <-> multiply(inverse(inverse(c3)),multiply(B,inverse(B))) is composed into
% [177]
% multiply(inverse(A),multiply(A,multiply(c3,multiply(c3,inverse(c3))))) <->
% multiply(inverse(c3),multiply(c3,multiply(c3,multiply(c3,inverse(c3)))))
% New rule produced :
% [178]
% multiply(inverse(inverse(c3)),multiply(B,inverse(B))) <->
% multiply(inverse(A),multiply(A,multiply(c3,multiply(c3,inverse(c3)))))
% Current number of equations to process: 2061
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [179]
% multiply(inverse(A),multiply(A,multiply(B,multiply(c3,inverse(c3))))) <->
% multiply(inverse(inverse(B)),multiply(C,inverse(C)))
% Current number of equations to process: 2060
% Current number of ordered equations: 1
% Current number of rules: 86
% Rule [179]
% multiply(inverse(A),multiply(A,multiply(B,multiply(c3,inverse(c3)))))
% <-> multiply(inverse(inverse(B)),multiply(C,inverse(C))) is composed into
% [179]
% multiply(inverse(A),multiply(A,multiply(B,multiply(c3,inverse(c3))))) <->
% multiply(inverse(c3),multiply(c3,multiply(B,multiply(c3,inverse(c3)))))
% New rule produced :
% [180]
% multiply(inverse(inverse(B)),multiply(C,inverse(C))) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(c3,inverse(c3)))))
% Rule
% [178]
% multiply(inverse(inverse(c3)),multiply(B,inverse(B))) <->
% multiply(inverse(A),multiply(A,multiply(c3,multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [181]
% multiply(inverse(inverse(A)),multiply(inverse(B),multiply(c3,inverse(c3))))
% -> multiply(inverse(c3),multiply(c3,multiply(A,inverse(B))))
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [182]
% multiply(inverse(inverse(A)),multiply(inverse(c3),multiply(B,inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(c3))))
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [183]
% inverse(multiply(multiply(inverse(multiply(B,inverse(B))),C),inverse(
% multiply(
% inverse(
% inverse(A)),C))))
% -> inverse(inverse(A))
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [184]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(c3,inverse(c3))))
% Rule
% [90]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),A),inverse(
% multiply(B,A))))
% <-> multiply(inverse(inverse(B)),inverse(multiply(c3,inverse(c3))))
% collapsed.
% Rule
% [151]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(c3,inverse(c3))))
% collapsed.
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [185]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B))))
% Current number of equations to process: 2057
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [186]
% multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% Rule
% [91]
% multiply(inverse(inverse(B)),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),A),inverse(
% multiply(B,A))))
% collapsed.
% Current number of equations to process: 2057
% Current number of ordered equations: 0
% Current number of rules: 89
% Rule [166]
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),
% inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(B),inverse(A)),inverse(multiply(c3,
% inverse(c3))))) is composed into
% [166]
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(
% multiply(D,
% inverse(D))))
% <->
% inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(B),
% inverse(A))))))))))
% New rule produced :
% [187]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% Rule
% [79]
% multiply(A,multiply(multiply(inverse(A),C),inverse(multiply(D,inverse(D)))))
% -> C collapsed.
% Rule
% [80]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,inverse(C))))
% -> B collapsed.
% Rule
% [109]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),inverse(C)),
% inverse(multiply(c3,inverse(c3)))))))
% <-> multiply(C,multiply(B,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [165]
% inverse(multiply(multiply(inverse(B),inverse(A)),inverse(multiply(c3,
% inverse(c3))))) <->
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(
% multiply(D,
% inverse(D))))
% collapsed.
% Rule
% [167]
% inverse(multiply(multiply(inverse(A),inverse(c3)),inverse(multiply(D,
% inverse(D))))) <->
% multiply(multiply(c3,multiply(A,inverse(multiply(B,inverse(B))))),inverse(
% multiply(C,
% inverse(C))))
% collapsed.
% Rule
% [173]
% multiply(multiply(inverse(A),multiply(c3,inverse(c3))),inverse(multiply(B,
% inverse(B))))
% -> inverse(A) collapsed.
% Rule
% [176]
% multiply(multiply(inverse(c3),multiply(A,inverse(A))),inverse(multiply(B,
% inverse(B))))
% -> inverse(c3) collapsed.
% Current number of equations to process: 2064
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [188]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),
% inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(A))))))))))))
% Current number of equations to process: 2062
% Current number of ordered equations: 2
% Current number of rules: 84
% New rule produced :
% [189]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% <-> multiply(B,inverse(multiply(C,inverse(C))))
% Current number of equations to process: 2062
% Current number of ordered equations: 1
% Current number of rules: 85
% Rule [188]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),
% inverse(multiply(inverse(A),
% inverse(inverse(multiply(
% inverse(B),
% inverse(
% inverse(A)))))))))))) is composed into
% [188]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(B,inverse(multiply(c3,inverse(c3))))
% New rule produced :
% [190]
% multiply(A,inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),
% 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: 2062
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [191]
% 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: 2061
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [192]
% 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: 2061
% Current number of ordered equations: 0
% Current number of rules: 88
% Rule [139]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(B,inverse(B)))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(inverse(A)),
% multiply(inverse(A),inverse(
% multiply(c3,
% inverse(c3)))))))) is composed into
% [139]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(B,inverse(B)))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(c3),multiply(c3,
% inverse(multiply(c3,
% inverse(c3))))))))
% New rule produced :
% [193]
% 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(c3),multiply(c3,inverse(multiply(C,inverse(C))))) collapsed.
% Rule
% [114]
% multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(c3,inverse(c3))))) collapsed.
% Rule
% [115]
% multiply(inverse(A),multiply(A,inverse(multiply(c3,inverse(c3))))) <->
% multiply(inverse(B),multiply(B,inverse(multiply(C,inverse(C))))) collapsed.
% Rule
% [125]
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(c3,inverse(c3)))))
% collapsed.
% Current number of equations to process: 2101
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [194]
% 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: 2105
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [195]
% 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: 2105
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [196]
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(c3,inverse(c3)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(B)))))
% Current number of equations to process: 2145
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [197]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(B)))))
% <->
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(c3,inverse(c3)))))
% Current number of equations to process: 2145
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [198]
% multiply(inverse(A),multiply(A,multiply(inverse(c3),multiply(B,inverse(B)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(c3)))))
% Current number of equations to process: 2144
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [199]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(c3)))))
% <->
% multiply(inverse(A),multiply(A,multiply(inverse(c3),multiply(B,inverse(B)))))
% Current number of equations to process: 2144
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [200]
% 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
% [116]
% multiply(inverse(C),multiply(C,multiply(inverse(D),multiply(D,B)))) <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(A),multiply(A,B))))
% collapsed.
% Rule
% [117]
% multiply(inverse(c3),multiply(c3,multiply(inverse(A),multiply(A,B)))) <->
% multiply(inverse(C),multiply(C,multiply(inverse(D),multiply(D,B))))
% collapsed.
% Current number of equations to process: 2165
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [201]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 2163
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [202]
% multiply(inverse(inverse(A)),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))
% Current number of equations to process: 2163
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [203]
% multiply(inverse(D),multiply(D,multiply(A,multiply(inverse(V_4),multiply(V_4,C)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(inverse(B),multiply(B,C)))))
% Current number of equations to process: 2162
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [204]
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(inverse(B),multiply(B,C)))))
% <->
% multiply(inverse(D),multiply(D,multiply(A,multiply(inverse(V_4),multiply(V_4,C)))))
% Current number of equations to process: 2162
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [205]
% 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: 2160
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [206]
% 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: 2160
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [207]
% multiply(A,multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(A),C)))))))))
% -> C
% Current number of equations to process: 2159
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [208]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(A),
% multiply(A,B)))))))))
% -> B
% Current number of equations to process: 2158
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [209]
% 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: 2164
% Current number of ordered equations: 1
% Current number of rules: 99
% Rule [209]
% 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
% [209]
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(inverse(A),c3),inverse(multiply(inverse(B),c3))))
% New rule produced :
% [210]
% 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
% [131]
% 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: 2164
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [211]
% multiply(inverse(A),multiply(inverse(B),multiply(B,inverse(multiply(multiply(c3,
% inverse(c3)),
% inverse(multiply(A,
% inverse(
% inverse(C)))))))))
% -> C
% Current number of equations to process: 2163
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [212]
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,A)))))))))
% -> A
% Current number of equations to process: 2209
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [213]
% multiply(A,multiply(c3,inverse(c3))) <->
% multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(multiply(C,
% inverse(C))),D),
% inverse(multiply(A,D))))))
% Current number of equations to process: 2294
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [214]
% multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(multiply(C,
% inverse(C))),D),
% inverse(multiply(A,D)))))) <->
% multiply(A,multiply(c3,inverse(c3)))
% Current number of equations to process: 2294
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [215]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(c3,inverse(c3)))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,inverse(A)),inverse(multiply(D,inverse(D))))
% Current number of equations to process: 2293
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [216]
% multiply(multiply(C,inverse(A)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(c3,inverse(c3)))),B),
% inverse(multiply(C,B))))
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [217]
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(A,inverse(A)))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,inverse(c3)),inverse(multiply(D,inverse(D))))
% Current number of equations to process: 2292
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [218]
% multiply(multiply(C,inverse(c3)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(A,inverse(A)))),B),
% inverse(multiply(C,B))))
% Current number of equations to process: 2292
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [219]
% inverse(multiply(multiply(inverse(A),multiply(A,inverse(multiply(c3,inverse(c3))))),
% inverse(B))) <-> multiply(B,inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 2350
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [220]
% multiply(B,inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(inverse(A),multiply(A,inverse(multiply(c3,inverse(c3))))),
% inverse(B)))
% Current number of equations to process: 2350
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [221]
% inverse(multiply(C,inverse(C))) <->
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 2352
% Current number of ordered equations: 1
% Current number of rules: 110
% Rule [221]
% inverse(multiply(C,inverse(C))) <->
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B))))) is composed into
% [221] inverse(multiply(C,inverse(C))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [222]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B))))) <->
% inverse(multiply(C,inverse(C)))
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [223]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))) ->
% multiply(c3,inverse(c3))
% Rule
% [137]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(c3)))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [139]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(B,inverse(B)))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(c3),multiply(c3,
% inverse(multiply(c3,
% inverse(c3))))))))
% collapsed.
% Rule
% [222]
% inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B))))) <->
% inverse(multiply(C,inverse(C))) collapsed.
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [224] multiply(A,inverse(A)) <-> multiply(B,inverse(B))
% Rule [112] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3)) collapsed.
% Rule [113] multiply(c3,inverse(c3)) <-> multiply(A,inverse(A)) collapsed.
% Rule
% [124] inverse(multiply(B,inverse(B))) <-> inverse(multiply(A,inverse(A)))
% collapsed.
% Rule
% [129]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(B,inverse(multiply(c3,inverse(c3)))) collapsed.
% Rule
% [134]
% multiply(B,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(B,inverse(multiply(c3,inverse(c3)))) collapsed.
% Rule
% [188]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(B,inverse(multiply(c3,inverse(c3)))) collapsed.
% Rule
% [221] inverse(multiply(C,inverse(C))) <-> inverse(multiply(c3,inverse(c3)))
% collapsed.
% Current number of equations to process: 2368
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [225]
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(c3),multiply(c3,
% inverse(multiply(c3,
% inverse(c3))))))))
% -> multiply(c3,inverse(c3))
% Rule
% [163]
% inverse(multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(c3),
% multiply(c3,inverse(
% multiply(c3,
% inverse(c3)))))))))
% -> inverse(multiply(c3,inverse(c3))) collapsed.
% Rule
% [164]
% multiply(A,multiply(inverse(c3),multiply(c3,inverse(multiply(inverse(c3),
% multiply(c3,inverse(
% multiply(c3,
% inverse(c3)))))))))
% -> inverse(inverse(A)) collapsed.
% Current number of equations to process: 2380
% Current number of ordered equations: 0
% Current number of rules: 102
% Rule [216]
% multiply(multiply(C,inverse(A)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(c3,
% inverse(c3)))),B),
% inverse(multiply(C,B)))) is composed into [216]
% multiply(multiply(C,
% inverse(A)),
% inverse(multiply(D,
% inverse(D))))
% <->
% inverse(multiply(
% multiply(
% inverse(
% inverse(
% inverse(
% inverse(A)))),B),
% inverse(
% multiply(C,B))))
% Rule [214]
% multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(
% multiply(C,
% inverse(C))),D),
% inverse(multiply(A,D)))))) <->
% multiply(A,multiply(c3,inverse(c3))) is composed into [214]
% multiply(inverse(B),
% multiply(B,
% inverse(multiply(
% multiply(
% inverse(
% multiply(C,
% inverse(C))),D),
% inverse(
% multiply(A,D))))))
% ->
% inverse(inverse(A))
% Rule [197]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,
% inverse(B))))) <->
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(c3,inverse(c3))))) is composed into
% [197]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(B)))))
% <-> multiply(inverse(A),multiply(A,inverse(inverse(inverse(B)))))
% Rule [180]
% multiply(inverse(inverse(B)),multiply(C,inverse(C))) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(c3,inverse(c3))))) is composed into
% [180]
% multiply(inverse(inverse(B)),multiply(C,inverse(C))) <->
% multiply(inverse(A),multiply(A,inverse(inverse(B))))
% Rule [172]
% multiply(inverse(B),multiply(B,inverse(A))) <->
% multiply(inverse(A),multiply(c3,inverse(c3))) is composed into [172]
% multiply(
% inverse(B),
% multiply(B,
% inverse(A)))
% ->
% inverse(
% inverse(
% inverse(A)))
% New rule produced :
% [226] multiply(A,multiply(c3,inverse(c3))) -> inverse(inverse(A))
% Rule
% [169]
% multiply(inverse(A),multiply(A,multiply(c3,inverse(c3)))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [171]
% multiply(inverse(A),multiply(c3,inverse(c3))) <->
% multiply(inverse(B),multiply(B,inverse(A))) collapsed.
% Rule
% [177]
% multiply(inverse(A),multiply(A,multiply(c3,multiply(c3,inverse(c3))))) <->
% multiply(inverse(c3),multiply(c3,multiply(c3,multiply(c3,inverse(c3)))))
% collapsed.
% Rule
% [179]
% multiply(inverse(A),multiply(A,multiply(B,multiply(c3,inverse(c3))))) <->
% multiply(inverse(c3),multiply(c3,multiply(B,multiply(c3,inverse(c3)))))
% collapsed.
% Rule
% [181]
% multiply(inverse(inverse(A)),multiply(inverse(B),multiply(c3,inverse(c3))))
% -> multiply(inverse(c3),multiply(c3,multiply(A,inverse(B)))) collapsed.
% Rule
% [196]
% multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(c3,inverse(c3)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(B)))))
% collapsed.
% Rule
% [213]
% multiply(A,multiply(c3,inverse(c3))) <->
% multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(multiply(C,
% inverse(C))),D),
% inverse(multiply(A,D)))))) collapsed.
% Rule
% [215]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(c3,inverse(c3)))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,inverse(A)),inverse(multiply(D,inverse(D)))) collapsed.
% Current number of equations to process: 2382
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [227]
% multiply(inverse(inverse(A)),inverse(inverse(inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B))))
% Current number of equations to process: 2381
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [228]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))),inverse(
% multiply(B,
% inverse(B))))
% Current number of equations to process: 2385
% Current number of ordered equations: 1
% Current number of rules: 97
% Rule [228]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))),
% inverse(multiply(B,inverse(B)))) is composed into [228]
% inverse(inverse(
% inverse(
% multiply(C,
% inverse(C)))))
% <->
% inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))
% New rule produced :
% [229]
% multiply(inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))),inverse(
% multiply(B,
% inverse(B))))
% <-> inverse(inverse(inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 2385
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [230]
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),
% inverse(multiply(B,C)))))) -> multiply(B,C)
% Current number of equations to process: 2388
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [231]
% 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: 2397
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [232]
% 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: 2397
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [233]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),
% multiply(C,inverse(multiply(D,
% inverse(D))))))
% -> C
% Current number of equations to process: 2396
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [234]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(C,inverse(C))),D),
% inverse(multiply(A,D)))))) -> inverse(inverse(A))
% Current number of equations to process: 2395
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [235]
% multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(B,inverse(B))))),
% inverse(multiply(inverse(A),C))))) -> C
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [236]
% 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: 2393
% Current number of ordered equations: 1
% Current number of rules: 105
% Rule [236]
% 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
% [236]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3)))))
% New rule produced :
% [237]
% 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: 2393
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [238]
% 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: 2392
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [239]
% 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: 2392
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [240]
% multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(multiply(inverse(B),multiply(B,C)))))) ->
% multiply(A,C)
% Current number of equations to process: 2403
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [241]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(c3,
% inverse(c3)))))))
% Current number of equations to process: 2405
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [242]
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(c3,
% inverse(c3)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B)
% Current number of equations to process: 2405
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [243]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% Rule
% [241]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(c3,
% inverse(c3)))))))
% collapsed.
% Current number of equations to process: 2404
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [244]
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B)
% Rule
% [242]
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(c3,
% inverse(c3)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B) collapsed.
% Current number of equations to process: 2404
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [245]
% 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: 2496
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [246]
% 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: 2496
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [247]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,
% inverse(B))))
% -> inverse(multiply(c3,inverse(c3)))
% Current number of equations to process: 2507
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [248]
% 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: 2711
% Current number of ordered equations: 1
% Current number of rules: 115
% Rule [248]
% 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 [248]
% inverse(multiply(multiply(
% inverse(A),V_4),
% inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(
% inverse(A),c3),
% inverse(multiply(inverse(B),c3))))
% New rule produced :
% [249]
% 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
% [135]
% 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: 2711
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [250]
% inverse(inverse(inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(B,
% inverse(
% inverse(C))))))))
% <-> multiply(B,multiply(C,inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 2710
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [251]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(B,
% inverse(
% inverse(C))))))))
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [252]
% inverse(multiply(inverse(B),inverse(C))) <->
% multiply(C,multiply(B,inverse(multiply(V_4,inverse(V_4)))))
% Current number of equations to process: 2709
% Current number of ordered equations: 1
% Current number of rules: 118
% Rule [220]
% multiply(B,inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(inverse(A),multiply(A,inverse(multiply(c3,
% inverse(c3))))),
% inverse(B))) is composed into [220]
% multiply(B,inverse(multiply(c3,
% inverse(c3))))
% <->
% inverse(multiply(inverse(multiply(
% inverse(A),
% inverse(
% inverse(A)))),
% inverse(B)))
% Rule [126]
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B) <->
% multiply(inverse(c3),multiply(c3,inverse(multiply(C,inverse(C))))) is composed into
% [126]
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B) ->
% inverse(multiply(inverse(c3),inverse(inverse(c3))))
% New rule produced :
% [253]
% multiply(C,multiply(B,inverse(multiply(V_4,inverse(V_4))))) <->
% inverse(multiply(inverse(B),inverse(C)))
% Rule
% [193]
% multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(C),multiply(C,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [219]
% inverse(multiply(multiply(inverse(A),multiply(A,inverse(multiply(c3,inverse(c3))))),
% inverse(B))) <-> multiply(B,inverse(multiply(c3,inverse(c3))))
% collapsed.
% Rule
% [225]
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(c3),multiply(c3,
% inverse(multiply(c3,
% inverse(c3))))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 2711
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [254]
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(B))) <->
% multiply(B,inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 2710
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [255]
% multiply(B,inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(B)))
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [256]
% inverse(inverse(inverse(inverse(multiply(c3,inverse(c3)))))) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 2709
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [257]
% inverse(multiply(multiply(c3,inverse(c3)),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: 2707
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [258]
% multiply(multiply(A,C),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))
% Current number of equations to process: 2707
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [259]
% inverse(multiply(A,inverse(multiply(B,inverse(inverse(inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% inverse(A))))))))))))
% -> multiply(C,inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [260]
% 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))))
% Current number of equations to process: 2705
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [261]
% 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))))))
% Current number of equations to process: 2705
% Current number of ordered equations: 0
% Current number of rules: 124
% Rule [201]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(c3,inverse(c3)))) is composed into
% [201]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),inverse(multiply(inverse(c3),
% inverse(inverse(inverse(
% multiply(c3,
% inverse(c3))))))))))
% Rule [185]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B)))) is composed into
% [185]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <->
% multiply(c3,inverse(multiply(inverse(A),inverse(multiply(inverse(c3),
% inverse(inverse(inverse(
% multiply(c3,
% inverse(c3))))))))))
% Rule [184]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(c3,inverse(c3)))) is composed into
% [184]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(multiply(inverse(c3),
% inverse(inverse(inverse(
% multiply(c3,
% inverse(c3))))))))))
% Rule [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% <-> multiply(inverse(inverse(C)),inverse(multiply(c3,inverse(c3)))) is composed into
% [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(multiply(inverse(c3),
% inverse(inverse(inverse(
% multiply(c3,
% inverse(c3))))))))))
% New rule produced :
% [262]
% 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
% [158]
% multiply(inverse(inverse(C)),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% collapsed.
% Rule
% [186]
% multiply(inverse(inverse(A)),inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% collapsed.
% Rule
% [202]
% multiply(inverse(inverse(A)),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))
% collapsed.
% Rule
% [229]
% multiply(inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))),inverse(
% multiply(B,
% inverse(B))))
% <-> inverse(inverse(inverse(multiply(C,inverse(C))))) collapsed.
% Rule
% [247]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,
% inverse(B))))
% -> inverse(multiply(c3,inverse(c3))) collapsed.
% Current number of equations to process: 2801
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [263]
% 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: 2801
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [264]
% 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: 2850
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [265]
% multiply(A,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(inverse(c3),multiply(c3,multiply(B,inverse(B))))))
% Current number of equations to process: 2899
% Current number of ordered equations: 1
% Current number of rules: 123
% Rule [265]
% multiply(A,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(inverse(c3),multiply(c3,multiply(B,inverse(B)))))) is composed into
% [265]
% multiply(A,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(c3,inverse(c3))))
% New rule produced :
% [266]
% multiply(A,inverse(multiply(inverse(c3),multiply(c3,multiply(B,inverse(B))))))
% <-> multiply(A,inverse(multiply(C,inverse(C))))
% Current number of equations to process: 2899
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [267]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(inverse(B),C),
% inverse(multiply(A,C))))))) -> B
% Rule
% [264]
% 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: 2910
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [268]
% inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(multiply(inverse(c3),multiply(c3,A))))) -> A
% Current number of equations to process: 2914
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [269]
% inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(multiply(inverse(B),multiply(B,A))))) -> A
% Rule
% [240]
% multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(multiply(inverse(B),multiply(B,C)))))) ->
% multiply(A,C) collapsed.
% Rule
% [268]
% inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(multiply(inverse(c3),multiply(c3,A))))) -> A collapsed.
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [270]
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),B))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,inverse(A)),B)))
% Current number of equations to process: 2957
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [271]
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,inverse(A)),B))) <->
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),B)))
% Current number of equations to process: 2957
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [272]
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(inverse(inverse(
% multiply(
% inverse(A),
% multiply(A,B)))))))
% -> multiply(inverse(c3),multiply(c3,B))
% Current number of equations to process: 2971
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [273]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(inverse(c3),
% multiply(c3,B)),
% inverse(multiply(A,multiply(C,B))))))))
% -> C
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [274]
% inverse(inverse(inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(
% multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))))
% -> inverse(inverse(C))
% Current number of equations to process: 2974
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [275]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(multiply(inverse(
% multiply(c3,
% inverse(c3))),B),
% inverse(multiply(A,B))))) ->
% inverse(multiply(c3,inverse(c3)))
% Current number of equations to process: 2973
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [276]
% inverse(inverse(inverse(multiply(multiply(inverse(c3),multiply(c3,A)),
% inverse(multiply(B,multiply(C,A))))))) <->
% multiply(B,multiply(C,inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 2972
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [277]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(c3),multiply(c3,A)),
% inverse(multiply(B,multiply(C,A)))))))
% Current number of equations to process: 2972
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [278]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(
% inverse(inverse(C)),
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% -> inverse(inverse(C))
% Current number of equations to process: 2969
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [279]
% multiply(inverse(C),multiply(C,multiply(inverse(multiply(c3,inverse(c3))),B)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(A,inverse(A))),B)))
% Current number of equations to process: 3015
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [280]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(A,inverse(A))),B)))
% <->
% multiply(inverse(C),multiply(C,multiply(inverse(multiply(c3,inverse(c3))),B)))
% Current number of equations to process: 3015
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [281]
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(c3,inverse(c3)))),B)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% Current number of equations to process: 3014
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [282]
% multiply(inverse(c3),multiply(c3,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <->
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(c3,inverse(c3)))),B)))
% Current number of equations to process: 3014
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [283]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),A))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),A)))
% Current number of equations to process: 3079
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [284]
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),A))) <->
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),A)))
% Current number of equations to process: 3079
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [285]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(
% inverse(A),
% multiply(A,B)))))
% -> B
% Current number of equations to process: 3085
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [286]
% inverse(inverse(inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(
% multiply(C,
% multiply(
% multiply(D,
% inverse(D)),B)))))))
% -> inverse(inverse(C))
% Rule
% [274]
% inverse(inverse(inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(
% multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))))
% -> inverse(inverse(C)) collapsed.
% Current number of equations to process: 3104
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [287]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(
% inverse(inverse(C)),
% multiply(
% multiply(D,
% inverse(D)),B)))))
% -> inverse(inverse(C))
% Rule
% [278]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(
% inverse(inverse(C)),
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% -> inverse(inverse(C)) collapsed.
% Current number of equations to process: 3102
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [288]
% multiply(multiply(c3,inverse(c3)),A) <->
% multiply(inverse(inverse(inverse(inverse(multiply(B,inverse(B)))))),A)
% Current number of equations to process: 3122
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [289]
% multiply(inverse(inverse(inverse(inverse(multiply(B,inverse(B)))))),A) <->
% multiply(multiply(c3,inverse(c3)),A)
% Current number of equations to process: 3122
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [290]
% multiply(inverse(B),multiply(B,multiply(inverse(multiply(C,inverse(C))),A)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,inverse(c3))),A)))
% Current number of equations to process: 3120
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [291]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,inverse(c3))),A)))
% <->
% multiply(inverse(B),multiply(B,multiply(inverse(multiply(C,inverse(C))),A)))
% Current number of equations to process: 3120
% Current number of ordered equations: 0
% Current number of rules: 144
% Rule [282]
% multiply(inverse(c3),multiply(c3,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <->
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(c3,
% inverse(c3)))),B))) is composed into
% [282]
% multiply(inverse(c3),multiply(c3,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <-> multiply(multiply(c3,inverse(c3)),multiply(inverse(c3),multiply(c3,B)))
% New rule produced :
% [292]
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(D,inverse(D)))),B)))
% <-> multiply(multiply(c3,inverse(c3)),multiply(inverse(A),multiply(A,B)))
% Rule
% [281]
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(c3,inverse(c3)))),B)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% collapsed.
% Current number of equations to process: 3120
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [293]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(A),multiply(A,B))) <->
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(D,inverse(D)))),B)))
% Current number of equations to process: 3119
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [294]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(inverse(inverse(
% inverse(
% multiply(C,
% inverse(C)))))),B))
% Current number of equations to process: 3121
% Current number of ordered equations: 1
% Current number of rules: 146
% Rule [294]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(inverse(
% inverse(
% inverse(
% multiply(C,
% inverse(C)))))),B)) is composed into
% [294]
% multiply(inverse(A),multiply(A,B)) <-> multiply(inverse(c3),multiply(c3,B))
% New rule produced :
% [295]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(inverse(inverse(
% inverse(
% multiply(C,
% inverse(C)))))),B))
% <-> multiply(inverse(A),multiply(A,B))
% Current number of equations to process: 3121
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [296]
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(multiply(c3,
% inverse(c3)),
% multiply(A,inverse(
% multiply(C,
% inverse(C)))))))))))
% -> inverse(inverse(B))
% Current number of equations to process: 3152
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [297]
% inverse(inverse(inverse(multiply(inverse(B),multiply(B,A))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),A),
% inverse(inverse(multiply(c3,inverse(c3))))))))
% Current number of equations to process: 3151
% Current number of ordered equations: 1
% Current number of rules: 149
% Rule [297]
% inverse(inverse(inverse(multiply(inverse(B),multiply(B,A))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),A),
% inverse(inverse(multiply(c3,inverse(c3)))))))) is composed into
% [297]
% inverse(inverse(inverse(multiply(inverse(B),multiply(B,A))))) <->
% inverse(inverse(inverse(multiply(inverse(c3),multiply(c3,A)))))
% New rule produced :
% [298]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),A),
% inverse(inverse(multiply(c3,inverse(c3)))))))) <->
% inverse(inverse(inverse(multiply(inverse(B),multiply(B,A)))))
% Current number of equations to process: 3151
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [299]
% multiply(inverse(multiply(c3,inverse(c3))),inverse(inverse(inverse(multiply(
% multiply(
% inverse(A),B),
% inverse(
% multiply(
% multiply(C,
% inverse(C)),B)))))))
% -> A
% Current number of equations to process: 3150
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(multiply(C,inverse(C)),B))))))))
% -> multiply(inverse(inverse(multiply(c3,inverse(c3)))),A)
% Current number of equations to process: 3293
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [301]
% inverse(inverse(inverse(multiply(A,multiply(inverse(C),inverse(multiply(D,
% inverse(D))))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% Current number of equations to process: 3534
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [302]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% <->
% inverse(inverse(inverse(multiply(A,multiply(inverse(C),inverse(multiply(D,
% inverse(D))))))))
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [303]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(A)))),B),inverse(
% multiply(
% inverse(
% inverse(C)),B))))
% <->
% inverse(inverse(inverse(multiply(A,multiply(inverse(C),inverse(multiply(D,
% inverse(D))))))))
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [304]
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,multiply(inverse(A),
% inverse(multiply(C,
% inverse(C)))))))))
% -> inverse(B)
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [305]
% inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(B),
% inverse(multiply(C,
% inverse(C))))))))))
% <-> multiply(inverse(inverse(B)),inverse(A))
% Current number of equations to process: 3554
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [306]
% multiply(inverse(inverse(B)),inverse(A)) <->
% inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(B),
% inverse(multiply(C,
% inverse(C))))))))))
% Current number of equations to process: 3554
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [307]
% inverse(inverse(inverse(multiply(B,multiply(inverse(A),inverse(multiply(D,
% inverse(D))))))))
% <-> multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 3574
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [308]
% multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(B,multiply(inverse(A),inverse(multiply(D,
% inverse(D))))))))
% Current number of equations to process: 3574
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [309]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(B),
% inverse(multiply(B,
% inverse(B)))))))))))
% <-> multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 3606
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [310]
% multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(B),
% inverse(multiply(B,
% inverse(B)))))))))))
% Current number of equations to process: 3606
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [311]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(
% inverse(A)),B),
% inverse(multiply(C,B)))))))))
% <-> multiply(A,multiply(inverse(C),inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 3605
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [312]
% multiply(A,multiply(inverse(C),inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(
% inverse(A)),B),
% inverse(multiply(C,B)))))))))
% Current number of equations to process: 3605
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [313]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(B),
% inverse(multiply(C,
% inverse(C)))))))))))
% <-> multiply(A,multiply(inverse(B),inverse(multiply(D,inverse(D)))))
% Rule
% [309]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(B),
% inverse(multiply(B,
% inverse(B)))))))))))
% <-> multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C)))))
% collapsed.
% Current number of equations to process: 3666
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [314]
% multiply(A,multiply(inverse(B),inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(B),
% inverse(multiply(C,
% inverse(C)))))))))))
% Rule
% [310]
% multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(B),
% inverse(multiply(B,
% inverse(B)))))))))))
% collapsed.
% Current number of equations to process: 3666
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [315]
% 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: 3769
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [316] inverse(inverse(multiply(A,inverse(multiply(c3,inverse(c3)))))) -> A
% Current number of equations to process: 3867
% Current number of ordered equations: 0
% Current number of rules: 166
% Rule [218]
% multiply(multiply(C,inverse(c3)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(A,
% inverse(A)))),B),
% inverse(multiply(C,B)))) is composed into [218]
% multiply(multiply(C,
% inverse(c3)),
% inverse(multiply(D,
% inverse(D))))
% <->
% inverse(multiply(
% multiply(
% inverse(
% inverse(
% inverse(
% inverse(c3)))),B),
% inverse(
% multiply(C,B))))
% Rule [199]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,
% inverse(c3))))) <->
% multiply(inverse(A),multiply(A,multiply(inverse(c3),multiply(B,inverse(B))))) is composed into
% [199]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(c3)))))
% <-> multiply(inverse(A),multiply(A,inverse(inverse(inverse(c3)))))
% Rule [174]
% multiply(inverse(B),multiply(B,inverse(c3))) <->
% multiply(inverse(c3),multiply(A,inverse(A))) is composed into [174]
% multiply(
% inverse(B),
% multiply(B,
% inverse(c3)))
% ->
% inverse(
% inverse(
% inverse(c3)))
% New rule produced :
% [317]
% multiply(inverse(c3),multiply(A,inverse(A))) -> inverse(inverse(inverse(c3)))
% Rule
% [175]
% multiply(inverse(c3),multiply(A,inverse(A))) <->
% multiply(inverse(B),multiply(B,inverse(c3))) collapsed.
% Rule
% [182]
% multiply(inverse(inverse(A)),multiply(inverse(c3),multiply(B,inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(c3)))) collapsed.
% Rule
% [198]
% multiply(inverse(A),multiply(A,multiply(inverse(c3),multiply(B,inverse(B)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(c3)))))
% collapsed.
% Rule
% [217]
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(A,inverse(A)))),B),
% inverse(multiply(C,B)))) <->
% multiply(multiply(C,inverse(c3)),inverse(multiply(D,inverse(D)))) collapsed.
% Current number of equations to process: 3904
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [318]
% 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: 3912
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [319]
% 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: 3912
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [320]
% 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: 3911
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [321]
% 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: 3911
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [322]
% 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
% [194]
% 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: 3910
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [323]
% 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
% [195]
% 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: 3910
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [324]
% inverse(inverse(inverse(multiply(D,B)))) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(multiply(inverse(A),C),
% inverse(multiply(D,C))))
% Rule
% [298]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),A),
% inverse(inverse(multiply(c3,inverse(c3)))))))) <->
% inverse(inverse(inverse(multiply(inverse(B),multiply(B,A))))) collapsed.
% Current number of equations to process: 3908
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [325]
% 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: 3908
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [326]
% 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: 3905
% Current number of ordered equations: 1
% Current number of rules: 169
% Rule [326]
% 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
% [326]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))) <->
% multiply(multiply(inverse(A),c3),inverse(multiply(inverse(B),c3)))
% New rule produced :
% [327]
% 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: 3905
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [328]
% multiply(inverse(multiply(A,inverse(multiply(c3,inverse(c3))))),multiply(B,
% inverse(B)))
% -> inverse(A)
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [329]
% 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
% [206]
% 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: 3914
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [330]
% 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
% [205]
% 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: 3914
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [331]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(c3)))),A),inverse(
% multiply(
% inverse(B),A))))
% ->
% multiply(c3,inverse(multiply(c3,multiply(B,multiply(c3,inverse(multiply(c3,
% inverse(c3))))))))
% Current number of equations to process: 3913
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [332]
% multiply(inverse(A),multiply(A,multiply(B,inverse(B)))) ->
% multiply(c3,inverse(c3))
% Rule
% [266]
% multiply(A,inverse(multiply(inverse(c3),multiply(c3,multiply(B,inverse(B))))))
% <-> multiply(A,inverse(multiply(C,inverse(C)))) collapsed.
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [333]
% inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))) <->
% multiply(c3,inverse(c3))
% Current number of equations to process: 3924
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [334]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))))
% Current number of equations to process: 3924
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [335]
% inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))) <->
% multiply(c3,inverse(c3))
% Rule
% [256]
% inverse(inverse(inverse(inverse(multiply(c3,inverse(c3)))))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [289]
% multiply(inverse(inverse(inverse(inverse(multiply(B,inverse(B)))))),A) <->
% multiply(multiply(c3,inverse(c3)),A) collapsed.
% Current number of equations to process: 3926
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [336]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))
% Rule
% [288]
% multiply(multiply(c3,inverse(c3)),A) <->
% multiply(inverse(inverse(inverse(inverse(multiply(B,inverse(B)))))),A)
% collapsed.
% Current number of equations to process: 3926
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [337]
% 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: 3930
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [338]
% 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: 3930
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [339]
% 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: 3962
% Current number of ordered equations: 1
% Current number of rules: 176
% Rule [339]
% 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
% [339]
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) <->
% multiply(multiply(inverse(A),c3),inverse(multiply(inverse(B),c3)))
% New rule produced :
% [340]
% 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
% [210]
% 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: 3962
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [341]
% multiply(inverse(multiply(c3,inverse(c3))),inverse(multiply(A,B))) <->
% multiply(multiply(inverse(multiply(inverse(C),multiply(C,B))),D),inverse(
% multiply(A,D)))
% Current number of equations to process: 3961
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [342]
% multiply(multiply(inverse(multiply(inverse(C),multiply(C,B))),D),inverse(
% multiply(A,D)))
% <-> multiply(inverse(multiply(c3,inverse(c3))),inverse(multiply(A,B)))
% Current number of equations to process: 3961
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [343]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,inverse(c3))),
% inverse(inverse(multiply(A,inverse(A)))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 3959
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [344]
% inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(inverse(A)))) <->
% multiply(inverse(A),inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 3964
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [345]
% multiply(inverse(A),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(inverse(A))))
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [346]
% inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(A))))))
% -> multiply(C,inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 4081
% Current number of ordered equations: 0
% Current number of rules: 182
% Rule [257]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))
% <-> multiply(multiply(A,C),inverse(multiply(D,inverse(D)))) is composed into
% [257]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))
% <->
% multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),inverse(multiply(
% inverse(c3),
% multiply(
% multiply(A,C),
% inverse(c3)))))))
% Rule [231]
% 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
% [231]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C))))
% <->
% multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),inverse(multiply(
% inverse(c3),
% multiply(
% multiply(B,C),
% inverse(c3)))))))
% Rule [127]
% 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 [127]
% inverse(multiply(
% multiply(
% inverse(B),V_4),
% inverse(
% multiply(A,V_4))))
% <->
% multiply(c3,inverse(
% multiply(
% inverse(
% inverse(
% inverse(c3))),
% inverse(
% multiply(
% inverse(c3),
% multiply(
% multiply(A,
% multiply(B,
% inverse(
% multiply(C,
% inverse(C))))),
% inverse(c3)))))))
% Rule [120]
% 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
% [120]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),inverse(multiply(
% inverse(c3),
% multiply(
% multiply(D,B),
% inverse(c3)))))))
% Rule [82]
% 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
% [82]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(inverse(C)),B))))
% <->
% multiply(C,multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),
% inverse(multiply(inverse(c3),multiply(
% multiply(A,
% inverse(multiply(D,
% inverse(D)))),
% inverse(c3))))))))
% New rule produced :
% [347]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(inverse(inverse(inverse(B))),inverse(multiply(
% inverse(A),
% multiply(C,
% inverse(B)))))))
% Rule
% [83]
% 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(B,A),inverse(multiply(C,inverse(C)))) <->
% inverse(multiply(c3,inverse(multiply(multiply(inverse(c3),multiply(c3,c3)),
% inverse(multiply(inverse(c3),multiply(multiply(
% inverse(
% multiply(
% inverse(c3),
% multiply(c3,A))),
% inverse(B)),c3)))))))
% collapsed.
% Rule
% [119]
% multiply(multiply(D,B),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) collapsed.
% Rule
% [128]
% 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
% [166]
% multiply(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))),inverse(
% multiply(D,
% inverse(D))))
% <->
% inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(B),
% inverse(A))))))))))
% collapsed.
% Rule
% [216]
% 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
% [218]
% multiply(multiply(C,inverse(c3)),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(c3)))),B),inverse(
% multiply(C,B))))
% collapsed.
% Rule
% [223]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [232]
% multiply(multiply(B,C),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C))))
% collapsed.
% Rule
% [258]
% multiply(multiply(A,C),inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))
% collapsed.
% Current number of equations to process: 4090
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [348]
% 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: 4090
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [349]
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(c3,inverse(multiply(c3,
% multiply(A,
% multiply(c3,
% inverse(
% multiply(c3,
% inverse(c3)))))))))))
% -> inverse(inverse(inverse(c3)))
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [350]
% 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: 4088
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [351]
% 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: 4088
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [352]
% 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: 4302
% Current number of ordered equations: 1
% Current number of rules: 178
% Rule [352]
% 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 [352]
% multiply(multiply(inverse(A),V_4),inverse(
% multiply(
% inverse(B),V_4)))
% <->
% multiply(multiply(inverse(A),c3),inverse(
% multiply(
% inverse(B),c3)))
% New rule produced :
% [353]
% 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
% [249]
% 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: 4302
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [354]
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))))) <->
% multiply(inverse(inverse(A)),B)
% Current number of equations to process: 4470
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [355]
% multiply(inverse(inverse(A)),B) <->
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))))
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [356]
% inverse(inverse(inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(
% multiply(A,B))))))
% -> multiply(A,B)
% Current number of equations to process: 4544
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [357]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(A),
% multiply(A,B))),C))))))
% <-> multiply(inverse(multiply(inverse(D),multiply(D,C))),B)
% Current number of equations to process: 4543
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [358]
% multiply(inverse(multiply(inverse(D),multiply(D,C))),B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(A),
% multiply(A,B))),C))))))
% Current number of equations to process: 4543
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [359]
% 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: 4653
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [360]
% 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: 4653
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [361]
% 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: 4858
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [362]
% 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: 4858
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [363]
% multiply(multiply(inverse(A),C),inverse(multiply(inverse(multiply(inverse(D),
% multiply(D,B))),C)))
% <->
% multiply(multiply(inverse(A),B),inverse(inverse(multiply(c3,inverse(c3)))))
% Current number of equations to process: 4857
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [364]
% multiply(multiply(inverse(A),B),inverse(inverse(multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(inverse(A),C),inverse(multiply(inverse(multiply(inverse(D),
% multiply(D,B))),C)))
% Current number of equations to process: 4857
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [365]
% multiply(c3,inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))))
% -> inverse(inverse(A))
% Current number of equations to process: 4856
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% <->
% multiply(C,inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(inverse(A)))))
% Current number of equations to process: 4855
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [367]
% multiply(C,inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(inverse(A))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% Current number of equations to process: 4855
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [368]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(c3,
% inverse(c3)),
% inverse(multiply(inverse(B),
% inverse(inverse(C)))))))))
% -> C
% Current number of equations to process: 4853
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [369]
% 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: 4852
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [370]
% multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(C),multiply(C,D)))))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(B,multiply(inverse(V_5),multiply(V_5,D)))))
% Rule
% [203]
% multiply(inverse(D),multiply(D,multiply(A,multiply(inverse(V_4),multiply(V_4,C)))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(inverse(B),multiply(B,C)))))
% collapsed.
% Rule
% [204]
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(inverse(B),multiply(B,C)))))
% <->
% multiply(inverse(D),multiply(D,multiply(A,multiply(inverse(V_4),multiply(V_4,C)))))
% collapsed.
% Current number of equations to process: 3508
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [371]
% multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),inverse(multiply(
% inverse(c3),
% multiply(
% multiply(A,
% inverse(A)),
% inverse(c3)))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 3518
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [372]
% multiply(multiply(multiply(A,inverse(multiply(c3,inverse(c3)))),D),inverse(
% multiply(C,D)))
% <->
% multiply(multiply(multiply(A,inverse(multiply(c3,inverse(c3)))),B),inverse(
% multiply(C,B)))
% Current number of equations to process: 3517
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [373]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(
% inverse(C),
% multiply(
% inverse(inverse(
% inverse(
% inverse(C)))),B)))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 3516
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [374]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(B),D),
% inverse(multiply(A,D)))))))) <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% Current number of equations to process: 3515
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [375]
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(B),D),
% inverse(multiply(A,D))))))))
% Current number of equations to process: 3515
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [376]
% 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)))))))
% Rule
% [374]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(B),D),
% inverse(multiply(A,D)))))))) <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% collapsed.
% Current number of equations to process: 3514
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [377]
% 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))))))))
% Rule
% [375]
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(B),D),
% inverse(multiply(A,D))))))))
% collapsed.
% Current number of equations to process: 3514
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [378]
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(multiply(c3,
% inverse(c3))))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(B,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% Current number of equations to process: 3513
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [379]
% multiply(inverse(c3),multiply(c3,multiply(B,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(multiply(c3,
% inverse(c3))))))))
% Current number of equations to process: 3513
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [380]
% multiply(inverse(B),multiply(B,multiply(A,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(inverse(multiply(c3,
% inverse(c3))))))))
% Current number of equations to process: 3512
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [381]
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(inverse(multiply(c3,
% inverse(c3))))))))
% <->
% multiply(inverse(B),multiply(B,multiply(A,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% Current number of equations to process: 3512
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [382]
% inverse(multiply(B,inverse(B))) <->
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% multiply(c3,
% inverse(c3))))))))
% Current number of equations to process: 3602
% Current number of ordered equations: 1
% Current number of rules: 203
% Rule [382]
% inverse(multiply(B,inverse(B))) <->
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% multiply(c3,
% inverse(c3)))))))) is composed into
% [382] inverse(multiply(B,inverse(B))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [383]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% multiply(c3,
% inverse(c3))))))))
% <-> inverse(multiply(B,inverse(B)))
% Current number of equations to process: 3602
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [384]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(c3),
% multiply(c3,B)))))))))
% -> B
% Current number of equations to process: 3609
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [385]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C)))))))))
% -> C
% Rule
% [208]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(A),
% multiply(A,B)))))))))
% -> B collapsed.
% Rule
% [212]
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,A)))))))))
% -> A collapsed.
% Rule
% [384]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(c3),
% multiply(c3,B)))))))))
% -> B collapsed.
% Current number of equations to process: 3621
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [386]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(c3,inverse(c3)),
% inverse(multiply(A,inverse(
% inverse(B)))))))))
% -> B
% Current number of equations to process: 3772
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [387]
% 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: 3807
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [388]
% 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: 3807
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [389]
% 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: 3806
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [390]
% 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: 3805
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [391]
% 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: 3805
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [392]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(A),multiply(B,inverse(multiply(multiply(c3,inverse(c3)),
% inverse(multiply(inverse(B),inverse(
% inverse(A))))))))
% Current number of equations to process: 3804
% Current number of ordered equations: 1
% Current number of rules: 210
% Rule [392]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(inverse(A),multiply(B,inverse(multiply(multiply(c3,inverse(c3)),
% inverse(multiply(inverse(B),
% inverse(inverse(A)))))))) is composed into
% [392]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3)))))
% New rule produced :
% [393]
% multiply(inverse(A),multiply(B,inverse(multiply(multiply(c3,inverse(c3)),
% inverse(multiply(inverse(B),inverse(
% inverse(A))))))))
% <-> inverse(inverse(inverse(multiply(C,inverse(C)))))
% Current number of equations to process: 3804
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [394]
% 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: 3803
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [395]
% 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: 3803
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [396]
% inverse(inverse(multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),
% inverse(multiply(inverse(c3),multiply(
% multiply(A,B),
% inverse(c3)))))))))
% -> multiply(A,B)
% Current number of equations to process: 3802
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [397]
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(B,C))))),
% multiply(inverse(D),multiply(D,C))) -> inverse(multiply(c3,inverse(c3)))
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [398]
% multiply(A,multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),
% inverse(multiply(inverse(c3),multiply(
% multiply(
% inverse(A),B),
% inverse(c3))))))))
% -> B
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [399]
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(multiply(C,
% inverse(C)),
% multiply(A,inverse(
% multiply(D,
% inverse(D)))))))))))
% -> inverse(inverse(B))
% Rule
% [296]
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(multiply(c3,
% inverse(c3)),
% multiply(A,inverse(
% multiply(C,
% inverse(C)))))))))))
% -> inverse(inverse(B)) collapsed.
% Current number of equations to process: 3822
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [400]
% inverse(inverse(inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B)))))
% -> B
% Rule
% [356]
% inverse(inverse(inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(
% multiply(A,B))))))
% -> multiply(A,B) collapsed.
% Current number of equations to process: 3902
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c3,inverse(c3)),A),
% inverse(multiply(B,A)))))) ->
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(B)))
% Current number of equations to process: 3903
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [402]
% inverse(inverse(inverse(multiply(multiply(inverse(C),D),inverse(multiply(A,D))))))
% <-> multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),inverse(C))))
% Current number of equations to process: 3905
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [403]
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),inverse(C)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(C),D),inverse(multiply(A,D))))))
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [404]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,inverse(B))),
% inverse(A)))) ->
% inverse(inverse(inverse(multiply(c3,inverse(c3)))))
% Current number of equations to process: 3909
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [405]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(multiply(c3,
% inverse(c3))),
% inverse(C)))))) <->
% multiply(inverse(inverse(B)),C)
% Current number of equations to process: 3910
% Current number of ordered equations: 1
% Current number of rules: 221
% Rule [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(C,B)))))) <->
% multiply(C,inverse(multiply(inverse(inverse(inverse(multiply(c3,
% inverse(c3))))),
% inverse(inverse(A))))) is composed into [366]
% inverse(
% inverse(
% inverse(
% multiply(
% multiply(
% inverse(
% inverse(A)),B),
% inverse(
% multiply(C,B))))))
% <->
% multiply(C,
% inverse(
% multiply(
% inverse(c3),
% multiply(c3,
% multiply(
% inverse(
% multiply(c3,
% inverse(c3))),
% inverse(
% multiply(
% inverse(
% multiply(c3,
% inverse(c3))),
% inverse(
% inverse(
% inverse(A))))))))))
% Rule [345]
% multiply(inverse(A),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(inverse(A)))) is composed into [345]
% multiply(inverse(A),
% inverse(multiply(c3,
% inverse(c3))))
% <->
% inverse(multiply(
% inverse(c3),
% multiply(c3,
% multiply(
% inverse(multiply(c3,
% inverse(c3))),
% inverse(multiply(
% inverse(
% multiply(c3,
% inverse(c3))),
% inverse(
% inverse(
% inverse(A)))))))))
% Rule [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(multiply(C,
% inverse(C)),B))))))))
% -> multiply(inverse(inverse(multiply(c3,inverse(c3)))),A) is composed into
% [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(multiply(C,inverse(C)),B))))))))
% ->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(
% multiply(c3,
% inverse(c3))),
% inverse(A))))))
% Rule [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(c3,inverse(c3)))),A) is composed into
% [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(
% multiply(c3,
% inverse(c3))),
% inverse(A))))))
% New rule produced :
% [406]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(multiply(c3,
% inverse(c3))),
% inverse(C))))))
% Rule
% [147]
% multiply(inverse(inverse(inverse(multiply(C,inverse(C))))),multiply(inverse(
% inverse(
% multiply(c3,
% inverse(c3)))),B))
% <-> multiply(inverse(A),multiply(A,B)) collapsed.
% Rule
% [150]
% multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),multiply(
% inverse(
% inverse(
% multiply(C,
% inverse(C)))),B))
% <-> multiply(inverse(A),multiply(A,B)) collapsed.
% Rule
% [156]
% multiply(inverse(inverse(multiply(c3,inverse(c3)))),A) <->
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% collapsed.
% Rule
% [269]
% inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(multiply(inverse(B),multiply(B,A))))) -> A collapsed.
% Rule
% [344]
% inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(inverse(A)))) <->
% multiply(inverse(A),inverse(multiply(c3,inverse(c3)))) collapsed.
% Rule
% [367]
% multiply(C,inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% inverse(inverse(A))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% collapsed.
% Current number of equations to process: 3915
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [407]
% inverse(inverse(inverse(multiply(C,multiply(inverse(A),inverse(multiply(D,
% inverse(D))))))))
% <->
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),inverse(inverse(C)))))
% Current number of equations to process: 3935
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [408]
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),inverse(inverse(C)))))
% <->
% inverse(inverse(inverse(multiply(C,multiply(inverse(A),inverse(multiply(D,
% inverse(D))))))))
% Current number of equations to process: 3935
% Current number of ordered equations: 0
% Current number of rules: 218
% Rule [350]
% 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
% [350]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(inverse(C)),D))) ->
% multiply(inverse(inverse(inverse(A))),inverse(inverse(inverse(inverse(
% inverse(C))))))
% Rule [337]
% 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
% [337]
% multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D))) ->
% multiply(inverse(inverse(inverse(inverse(A)))),inverse(inverse(inverse(B))))
% New rule produced :
% [409] multiply(A,multiply(B,inverse(B))) -> inverse(inverse(A))
% Rule
% [180]
% multiply(inverse(inverse(B)),multiply(C,inverse(C))) <->
% multiply(inverse(A),multiply(A,inverse(inverse(B)))) collapsed.
% Rule [226] multiply(A,multiply(c3,inverse(c3))) -> inverse(inverse(A))
% collapsed.
% Rule
% [317]
% multiply(inverse(c3),multiply(A,inverse(A))) -> inverse(inverse(inverse(c3)))
% collapsed.
% Rule
% [328]
% multiply(inverse(multiply(A,inverse(multiply(c3,inverse(c3))))),multiply(B,
% inverse(B)))
% -> inverse(A) collapsed.
% Rule
% [332]
% multiply(inverse(A),multiply(A,multiply(B,inverse(B)))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [338]
% 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
% [351]
% 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: 3949
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [410]
% inverse(multiply(c3,inverse(c3))) <->
% inverse(inverse(inverse(multiply(A,inverse(A)))))
% Current number of equations to process: 3958
% Current number of ordered equations: 1
% Current number of rules: 213
% Rule [404]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,inverse(B))),
% inverse(A)))) ->
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) is composed into
% [404]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,inverse(B))),
% inverse(A)))) ->
% inverse(multiply(c3,inverse(c3)))
% Rule [392]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) is composed into
% [392]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(c3,inverse(c3)))
% Rule [380]
% multiply(inverse(B),multiply(B,multiply(A,inverse(inverse(inverse(
% multiply(C,
% inverse(C))))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(inverse(
% multiply(c3,
% inverse(c3)))))))) is composed into
% [380]
% multiply(inverse(B),multiply(B,multiply(A,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(multiply(c3,inverse(c3))))))
% Rule [379]
% multiply(inverse(c3),multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(C,
% inverse(C))))))))
% <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(
% multiply(c3,
% inverse(c3)))))))) is composed into
% [379]
% multiply(inverse(c3),multiply(c3,multiply(B,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(c3,inverse(c3))))))
% Rule [236]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) is composed into
% [236]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(c3,inverse(c3)))
% Rule [228]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) is composed into
% [228]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(c3,inverse(c3)))
% Rule [201]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),inverse(multiply(inverse(c3),
% inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))) is composed into
% [201]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),inverse(multiply(inverse(c3),
% inverse(multiply(c3,inverse(c3))))))))
% Rule [185]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <->
% multiply(c3,inverse(multiply(inverse(A),inverse(multiply(inverse(c3),
% inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))) is composed into
% [185]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <->
% multiply(c3,inverse(multiply(inverse(A),inverse(multiply(inverse(c3),
% inverse(multiply(c3,inverse(c3))))))))
% Rule [184]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(multiply(inverse(c3),
% inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))) is composed into
% [184]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(multiply(inverse(c3),
% inverse(multiply(c3,inverse(c3))))))))
% Rule [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(multiply(inverse(c3),
% inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))))))) is composed into
% [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(multiply(inverse(c3),
% inverse(multiply(c3,inverse(c3))))))))
% New rule produced :
% [411]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(multiply(c3,inverse(c3)))
% Rule
% [365]
% multiply(c3,inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))))
% -> inverse(inverse(A)) collapsed.
% Rule
% [378]
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(multiply(c3,
% inverse(c3))))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(B,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% collapsed.
% Rule
% [381]
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(inverse(multiply(c3,
% inverse(c3))))))))
% <->
% multiply(inverse(B),multiply(B,multiply(A,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% collapsed.
% Current number of equations to process: 3961
% Current number of ordered equations: 0
% Current number of rules: 211
% Rule [363]
% multiply(multiply(inverse(A),C),inverse(multiply(inverse(multiply(
% inverse(D),
% multiply(D,B))),C)))
% <->
% multiply(multiply(inverse(A),B),inverse(inverse(multiply(c3,inverse(c3))))) is composed into
% [363]
% multiply(multiply(inverse(A),C),inverse(multiply(inverse(multiply(inverse(D),
% multiply(D,B))),C)))
% <-> multiply(multiply(inverse(A),B),multiply(c3,inverse(c3)))
% New rule produced :
% [412] inverse(inverse(multiply(c3,inverse(c3)))) <-> multiply(A,inverse(A))
% Rule
% [201]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))))
% <->
% multiply(c3,inverse(multiply(inverse(A),inverse(multiply(inverse(c3),
% inverse(multiply(c3,inverse(c3))))))))
% collapsed.
% Rule
% [364]
% multiply(multiply(inverse(A),B),inverse(inverse(multiply(c3,inverse(c3)))))
% <->
% multiply(multiply(inverse(A),C),inverse(multiply(inverse(multiply(inverse(D),
% multiply(D,B))),C)))
% collapsed.
% Current number of equations to process: 3996
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [413]
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(A))) <->
% multiply(A,inverse(multiply(B,inverse(B))))
% Rule
% [254]
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(B))) <->
% multiply(B,inverse(multiply(c3,inverse(c3)))) collapsed.
% Current number of equations to process: 3995
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [414]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(A)))
% Rule
% [255]
% multiply(B,inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(B))) collapsed.
% Current number of equations to process: 3995
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [415]
% multiply(inverse(D),multiply(D,C)) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C))
% Current number of equations to process: 3994
% Current number of ordered equations: 1
% Current number of rules: 211
% Rule [415]
% multiply(inverse(D),multiply(D,C)) <->
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C)) is composed into
% [415]
% multiply(inverse(D),multiply(D,C)) <-> multiply(inverse(c3),multiply(c3,C))
% New rule produced :
% [416]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C))
% <-> multiply(inverse(D),multiply(D,C))
% Rule
% [145]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(c3,inverse(c3)),B))
% <-> multiply(inverse(C),multiply(C,B)) collapsed.
% Rule
% [149]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(multiply(A,inverse(A)),B))
% <-> multiply(inverse(C),multiply(C,B)) collapsed.
% Rule
% [233]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),
% multiply(C,inverse(multiply(D,
% inverse(D))))))
% -> C collapsed.
% Current number of equations to process: 3994
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [417]
% multiply(multiply(inverse(C),D),inverse(multiply(B,D))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(C)))))
% Current number of equations to process: 3993
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [418]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(C))))) <->
% multiply(multiply(inverse(C),D),inverse(multiply(B,D)))
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [419]
% inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,
% inverse(c3))),
% inverse(inverse(inverse(A))))))) ->
% inverse(inverse(A))
% Current number of equations to process: 3994
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [420]
% inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(A,
% inverse(A))),
% inverse(inverse(inverse(B))))))) ->
% inverse(inverse(B))
% Rule
% [419]
% inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,
% inverse(c3))),
% inverse(inverse(inverse(A))))))) ->
% inverse(inverse(A)) collapsed.
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [421]
% multiply(inverse(B),inverse(multiply(C,inverse(C)))) <->
% multiply(inverse(A),inverse(multiply(B,inverse(A))))
% Current number of equations to process: 4013
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [422]
% multiply(inverse(A),inverse(multiply(B,inverse(A)))) <->
% multiply(inverse(B),inverse(multiply(C,inverse(C))))
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [423]
% multiply(c3,inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(
% inverse(c3),
% inverse(
% multiply(c3,
% inverse(c3))))))))
% -> inverse(inverse(A))
% Current number of equations to process: 4017
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [424]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(A),
% inverse(inverse(C)))))))
% Rule
% [187]
% multiply(B,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% collapsed.
% Current number of equations to process: 4016
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [425]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(A),
% inverse(inverse(C)))))))
% <-> multiply(C,inverse(multiply(D,inverse(D))))
% Rule
% [189]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% <-> multiply(B,inverse(multiply(C,inverse(C)))) collapsed.
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [426]
% inverse(multiply(A,inverse(A))) <->
% multiply(c3,inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,
% inverse(c3)),
% inverse(inverse(c3)))))))
% Current number of equations to process: 4015
% Current number of ordered equations: 1
% Current number of rules: 216
% Rule [426]
% inverse(multiply(A,inverse(A))) <->
% multiply(c3,inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,
% inverse(c3)),
% inverse(inverse(c3))))))) is composed into
% [426] inverse(multiply(A,inverse(A))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [427]
% multiply(c3,inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,
% inverse(c3)),
% inverse(inverse(c3)))))))
% <-> inverse(multiply(A,inverse(A)))
% Current number of equations to process: 4015
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [428]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(inverse(multiply(A,
% inverse(A)))),
% inverse(B))) ->
% inverse(inverse(inverse(B)))
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [429]
% multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(inverse(A),
% inverse(multiply(C,
% inverse(C))))) ->
% inverse(A)
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [430]
% multiply(multiply(inverse(A),C),inverse(multiply(inverse(multiply(inverse(D),
% multiply(D,B))),C)))
% -> inverse(inverse(multiply(inverse(A),B)))
% Rule
% [363]
% multiply(multiply(inverse(A),C),inverse(multiply(inverse(multiply(inverse(D),
% multiply(D,B))),C)))
% <-> multiply(multiply(inverse(A),B),multiply(c3,inverse(c3))) collapsed.
% Current number of equations to process: 4020
% Current number of ordered equations: 0
% Current number of rules: 219
% Rule [414]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(A))) is composed into
% [414]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(A)))))))
% Rule [406]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(
% multiply(c3,
% inverse(c3))),
% inverse(C)))))) is composed into
% [406]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(c3,inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% inverse(c3),
% inverse(
% inverse(C))))))))))
% Rule [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c3,inverse(c3)),A),
% inverse(multiply(B,A)))))) ->
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(B))) is composed into
% [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c3,inverse(c3)),A),
% inverse(multiply(B,A)))))) ->
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(B)))))))
% Rule [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(C,B)))))) <->
% multiply(C,inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(
% multiply(c3,
% inverse(c3))),
% inverse(multiply(
% inverse(
% multiply(c3,
% inverse(c3))),
% inverse(
% inverse(
% inverse(A)))))))))) is composed into
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% <->
% multiply(C,inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(
% multiply(c3,
% inverse(c3))),
% multiply(c3,inverse(
% multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(
% inverse(A))))))))))))))
% Rule [345]
% multiply(inverse(A),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,
% inverse(c3))),
% inverse(multiply(inverse(
% multiply(c3,
% inverse(c3))),
% inverse(inverse(
% inverse(A))))))))) is composed into
% [345]
% multiply(inverse(A),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,
% inverse(c3))),
% multiply(c3,inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(
% inverse(A)))))))))))))
% Rule [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(multiply(C,
% inverse(C)),B))))))))
% ->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),
% inverse(multiply(inverse(multiply(c3,
% inverse(c3))),
% inverse(A)))))) is composed into
% [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(multiply(C,inverse(C)),B))))))))
% ->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),multiply(c3,
% inverse(
% multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% inverse(c3),
% inverse(
% inverse(A))))))))))
% Rule [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),
% inverse(multiply(inverse(multiply(c3,
% inverse(c3))),
% inverse(A)))))) is composed into
% [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),multiply(c3,
% inverse(
% multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% inverse(c3),
% inverse(
% inverse(A))))))))))
% New rule produced :
% [431]
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(B))) <->
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% Rule
% [272]
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(inverse(inverse(
% multiply(
% inverse(A),
% multiply(A,B)))))))
% -> multiply(inverse(c3),multiply(c3,B)) collapsed.
% Rule
% [405]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(multiply(c3,
% inverse(c3))),
% inverse(C)))))) <->
% multiply(inverse(inverse(B)),C) collapsed.
% Rule
% [413]
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(A))) <->
% multiply(A,inverse(multiply(B,inverse(B)))) collapsed.
% Current number of equations to process: 4022
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [432]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% <->
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(B)))))))
% Current number of equations to process: 4021
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [433]
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(B)))))))
% <->
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% Current number of equations to process: 4021
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [434]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(inverse(multiply(A,
% inverse(A)))),B))
% Current number of equations to process: 4041
% Current number of ordered equations: 1
% Current number of rules: 220
% Rule [434]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(inverse(
% multiply(A,
% inverse(A)))),B)) is composed into
% [434]
% multiply(inverse(C),multiply(C,B)) <-> multiply(inverse(c3),multiply(c3,B))
% New rule produced :
% [435]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(inverse(multiply(A,
% inverse(A)))),B))
% <-> multiply(inverse(C),multiply(C,B))
% Rule
% [428]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(inverse(multiply(A,
% inverse(A)))),
% inverse(B))) ->
% inverse(inverse(inverse(B))) collapsed.
% Current number of equations to process: 4041
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [436]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(C,inverse(C))),B)))
% <->
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(A),multiply(A,B)))
% Current number of equations to process: 4040
% Current number of ordered equations: 1
% Current number of rules: 221
% Rule [436]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(C,inverse(C))),B)))
% <->
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(A),multiply(A,B))) is composed into
% [436]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(C,inverse(C))),B)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,inverse(c3))),B)))
% New rule produced :
% [437]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(A),multiply(A,B)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(C,inverse(C))),B)))
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 222
% Rule [380]
% multiply(inverse(B),multiply(B,multiply(A,inverse(inverse(inverse(
% multiply(C,
% inverse(C))))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(multiply(c3,
% inverse(c3)))))) is composed into
% [380]
% multiply(inverse(B),multiply(B,multiply(A,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% <-> multiply(inverse(c3),multiply(c3,inverse(inverse(inverse(inverse(A))))))
% Rule [379]
% multiply(inverse(c3),multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(C,
% inverse(C))))))))
% <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(c3,inverse(c3)))))) is composed into
% [379]
% multiply(inverse(c3),multiply(c3,multiply(B,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% <-> multiply(inverse(A),multiply(A,inverse(inverse(inverse(inverse(B))))))
% Rule [346]
% inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(B,
% multiply(multiply(
% inverse(B),C),
% inverse(A)))))) ->
% multiply(C,inverse(multiply(c3,inverse(c3)))) is composed into [346]
% inverse(
% multiply(
% inverse(
% inverse(
% inverse(A))),
% inverse(
% multiply(B,
% multiply(
% multiply(
% inverse(B),C),
% inverse(A))))))
% ->
% inverse(
% inverse(
% inverse(
% inverse(C))))
% Rule [331]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(c3)))),A),
% inverse(multiply(inverse(B),A)))) ->
% multiply(c3,inverse(multiply(c3,multiply(B,multiply(c3,inverse(multiply(c3,
% inverse(c3)))))))) is composed into
% [331]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(c3)))),A),inverse(
% multiply(
% inverse(B),A))))
% ->
% multiply(c3,inverse(multiply(c3,multiply(B,inverse(inverse(inverse(inverse(c3))))))))
% Rule [265]
% multiply(A,inverse(multiply(C,inverse(C)))) <->
% multiply(A,inverse(multiply(c3,inverse(c3)))) is composed into [265]
% multiply(A,
% inverse(
% multiply(C,
% inverse(C))))
% ->
% inverse(
% inverse(
% inverse(
% inverse(A))))
% Rule [259]
% inverse(multiply(A,inverse(multiply(B,inverse(inverse(inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% inverse(A))))))))))))
% -> multiply(C,inverse(multiply(c3,inverse(c3)))) is composed into
% [259]
% inverse(multiply(A,inverse(multiply(B,inverse(inverse(inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% inverse(A))))))))))))
% -> inverse(inverse(inverse(inverse(C))))
% Rule [185]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <->
% multiply(c3,inverse(multiply(inverse(A),inverse(multiply(inverse(c3),
% inverse(multiply(c3,
% inverse(c3)))))))) is composed into
% [185]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <->
% multiply(c3,inverse(multiply(inverse(A),inverse(inverse(inverse(inverse(
% inverse(
% inverse(c3)))))))))
% Rule [184]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(multiply(inverse(c3),
% inverse(multiply(c3,
% inverse(c3)))))))) is composed into
% [184]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(inverse(inverse(inverse(
% inverse(
% inverse(c3)))))))))
% Rule [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(multiply(inverse(c3),
% inverse(multiply(c3,
% inverse(c3)))))))) is composed into
% [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(inverse(inverse(inverse(
% inverse(
% inverse(c3)))))))))
% Rule [121]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(
% inverse(C),D),B)))))
% -> multiply(D,inverse(multiply(c3,inverse(c3)))) is composed into
% [121]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(
% inverse(C),D),B)))))
% -> inverse(inverse(inverse(inverse(D))))
% Rule [47]
% multiply(inverse(inverse(A)),B) <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,inverse(multiply(c3,
% inverse(c3))))))) is composed into
% [47]
% multiply(inverse(inverse(A)),B) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(inverse(inverse(B)))))))
% New rule produced :
% [438]
% multiply(A,inverse(multiply(c3,inverse(c3)))) ->
% inverse(inverse(inverse(inverse(A))))
% Rule
% [220]
% multiply(B,inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(inverse(multiply(inverse(A),inverse(inverse(A)))),inverse(B)))
% collapsed.
% Rule
% [316] inverse(inverse(multiply(A,inverse(multiply(c3,inverse(c3)))))) -> A
% collapsed.
% Rule
% [345]
% multiply(inverse(A),inverse(multiply(c3,inverse(c3)))) <->
% inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,
% inverse(c3))),
% multiply(c3,inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(
% inverse(A)))))))))))))
% collapsed.
% Rule
% [349]
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(c3,inverse(multiply(c3,
% multiply(A,
% multiply(c3,
% inverse(
% multiply(c3,
% inverse(c3)))))))))))
% -> inverse(inverse(inverse(c3))) collapsed.
% Rule
% [372]
% multiply(multiply(multiply(A,inverse(multiply(c3,inverse(c3)))),D),inverse(
% multiply(C,D)))
% <->
% multiply(multiply(multiply(A,inverse(multiply(c3,inverse(c3)))),B),inverse(
% multiply(C,B)))
% collapsed.
% Rule
% [383]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% multiply(c3,
% inverse(c3))))))))
% <-> inverse(multiply(B,inverse(B))) collapsed.
% Rule
% [423]
% multiply(c3,inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(
% inverse(c3),
% inverse(
% multiply(c3,
% inverse(c3))))))))
% -> inverse(inverse(A)) collapsed.
% Current number of equations to process: 4059
% Current number of ordered equations: 0
% Current number of rules: 216
% Rule [314]
% multiply(A,multiply(inverse(B),inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(
% inverse(B),
% inverse(
% multiply(C,
% inverse(C))))))))))) is composed into
% [314]
% multiply(A,multiply(inverse(B),inverse(multiply(D,inverse(D))))) <->
% multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C)))))
% Rule [312]
% multiply(A,multiply(inverse(C),inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(
% inverse(
% inverse(A)),B),
% inverse(multiply(C,B))))))))) is composed into
% [312]
% multiply(A,multiply(inverse(C),inverse(multiply(D,inverse(D))))) <->
% multiply(multiply(inverse(inverse(A)),B),inverse(multiply(C,B)))
% Rule [185]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <->
% multiply(c3,inverse(multiply(inverse(A),inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(c3))))))))) is composed into
% [185]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <-> multiply(c3,inverse(multiply(inverse(A),c3)))
% Rule [184]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(c3))))))))) is composed into
% [184]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <-> multiply(c3,inverse(multiply(inverse(C),c3)))
% Rule [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% <->
% multiply(c3,inverse(multiply(inverse(C),inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(c3))))))))) is composed into
% [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% <-> multiply(c3,inverse(multiply(inverse(C),c3)))
% New rule produced :
% [439] inverse(inverse(inverse(inverse(inverse(inverse(A)))))) -> A
% Rule
% [311]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(
% inverse(A)),B),
% inverse(multiply(C,B)))))))))
% <-> multiply(A,multiply(inverse(C),inverse(multiply(D,inverse(D)))))
% collapsed.
% Rule
% [313]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(B),
% inverse(multiply(C,
% inverse(C)))))))))))
% <-> multiply(A,multiply(inverse(B),inverse(multiply(D,inverse(D)))))
% collapsed.
% Current number of equations to process: 4059
% Current number of ordered equations: 0
% Current number of rules: 215
% Rule [432]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% <->
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(B))))))) is composed into
% [432]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% -> inverse(inverse(inverse(inverse(B))))
% Rule [414]
% multiply(A,inverse(multiply(B,inverse(B)))) <->
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(A))))))) is composed into
% [414]
% multiply(A,inverse(multiply(B,inverse(B)))) ->
% inverse(inverse(inverse(inverse(A))))
% Rule [406]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,multiply(c3,inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% inverse(c3),
% inverse(
% inverse(C)))))))))) is composed into
% [406]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(inverse(C)))))))
% Rule [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c3,inverse(c3)),A),
% inverse(multiply(B,A)))))) ->
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(B))))))) is composed into
% [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c3,inverse(c3)),A),
% inverse(multiply(B,A)))))) ->
% inverse(inverse(inverse(inverse(B))))
% Rule [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(C,B)))))) <->
% multiply(C,inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(
% multiply(c3,
% inverse(c3))),
% multiply(c3,
% inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% inverse(c3),
% inverse(
% inverse(
% inverse(
% inverse(A)))))))))))))) is composed into
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% <->
% multiply(C,inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(
% multiply(c3,
% inverse(c3))),
% inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(A)))))))))))
% Rule [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(multiply(C,
% inverse(C)),B))))))))
% ->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),
% multiply(c3,inverse(multiply(multiply(c3,
% inverse(c3)),
% inverse(multiply(
% inverse(c3),
% inverse(
% inverse(A)))))))))) is composed into
% [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(multiply(C,inverse(C)),B))))))))
% ->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),inverse(
% inverse(
% inverse(
% inverse(A)))))))
% Rule [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),
% multiply(c3,inverse(multiply(multiply(c3,
% inverse(c3)),
% inverse(multiply(
% inverse(c3),
% inverse(
% inverse(A)))))))))) is composed into
% [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),inverse(
% inverse(
% inverse(
% inverse(A)))))))
% New rule produced :
% [440]
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(B)))))))
% -> inverse(inverse(inverse(inverse(B))))
% Rule
% [433]
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(B)))))))
% <->
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% collapsed.
% Current number of equations to process: 4058
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [441]
% multiply(multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(B))))))),
% inverse(multiply(C,B))) ->
% multiply(A,inverse(inverse(inverse(inverse(inverse(C))))))
% Current number of equations to process: 4057
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [442]
% multiply(c3,inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(A),
% inverse(inverse(
% inverse(
% inverse(c3)))))))))
% -> inverse(inverse(A))
% Current number of equations to process: 4056
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [443]
% inverse(multiply(B,inverse(B))) <->
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),A)))
% Current number of equations to process: 4057
% Current number of ordered equations: 1
% Current number of rules: 218
% Rule [443]
% inverse(multiply(B,inverse(B))) <->
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),A))) is composed into
% [443] inverse(multiply(B,inverse(B))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [444]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),A))) <->
% inverse(multiply(B,inverse(B)))
% Current number of equations to process: 4057
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [445]
% multiply(multiply(inverse(c3),multiply(c3,multiply(inverse(c3),multiply(c3,
% multiply(A,
% inverse(
% inverse(D))))))),
% inverse(multiply(C,D))) <->
% multiply(multiply(inverse(c3),multiply(c3,multiply(inverse(c3),multiply(c3,
% multiply(A,
% inverse(
% inverse(B))))))),
% inverse(multiply(C,B)))
% Current number of equations to process: 4057
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [446]
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(multiply(B,
% inverse(B)))))))
% -> inverse(inverse(inverse(inverse(A))))
% Rule
% [343]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,inverse(c3))),
% inverse(inverse(multiply(A,inverse(A)))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 4061
% Current number of ordered equations: 0
% Current number of rules: 220
% Rule [443]
% inverse(multiply(B,inverse(B))) <-> inverse(multiply(c3,inverse(c3))) is composed into
% [443] inverse(multiply(B,inverse(B))) <-> multiply(c3,inverse(c3))
% Rule [436]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(C,inverse(C))),B)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,inverse(c3))),B))) is composed into
% [436]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(C,inverse(C))),B)))
% <-> multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),B)))
% Rule [426]
% inverse(multiply(A,inverse(A))) <-> inverse(multiply(c3,inverse(c3))) is composed into
% [426] inverse(multiply(A,inverse(A))) <-> multiply(c3,inverse(c3))
% Rule [411]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(multiply(c3,inverse(c3))) is composed into [411]
% inverse(inverse(
% inverse(
% multiply(A,
% inverse(A)))))
% <->
% multiply(c3,inverse(c3))
% Rule [404]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,inverse(B))),
% inverse(A)))) ->
% inverse(multiply(c3,inverse(c3))) is composed into [404]
% multiply(inverse(A),
% inverse(multiply(
% inverse(
% multiply(B,
% inverse(B))),
% inverse(A))))
% ->
% multiply(c3,inverse(c3))
% Rule [397]
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(inverse(B),
% multiply(B,C))))),
% multiply(inverse(D),multiply(D,C))) -> inverse(multiply(c3,inverse(c3))) is composed into
% [397]
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(B,C))))),
% multiply(inverse(D),multiply(D,C))) -> multiply(c3,inverse(c3))
% Rule [392]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(c3,inverse(c3))) is composed into [392]
% inverse(inverse(
% inverse(
% multiply(C,
% inverse(C)))))
% <->
% multiply(c3,inverse(c3))
% Rule [382]
% inverse(multiply(B,inverse(B))) <-> inverse(multiply(c3,inverse(c3))) is composed into
% [382] inverse(multiply(B,inverse(B))) <-> multiply(c3,inverse(c3))
% Rule [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(C,B)))))) <->
% multiply(C,inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(
% multiply(c3,
% inverse(c3))),
% inverse(inverse(
% inverse(
% inverse(
% inverse(
% inverse(A))))))))))) is composed into
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% <->
% multiply(C,inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,
% inverse(c3)),
% inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(A)))))))))))
% Rule [342]
% multiply(multiply(inverse(multiply(inverse(C),multiply(C,B))),D),
% inverse(multiply(A,D))) <->
% multiply(inverse(multiply(c3,inverse(c3))),inverse(multiply(A,B))) is composed into
% [342]
% multiply(multiply(inverse(multiply(inverse(C),multiply(C,B))),D),inverse(
% multiply(A,D)))
% <-> multiply(multiply(c3,inverse(c3)),inverse(multiply(A,B)))
% Rule [290]
% multiply(inverse(B),multiply(B,multiply(inverse(multiply(C,inverse(C))),A)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,inverse(c3))),A))) is composed into
% [290]
% multiply(inverse(B),multiply(B,multiply(inverse(multiply(C,inverse(C))),A)))
% <-> multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),A)))
% Rule [280]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(A,inverse(A))),B)))
% <->
% multiply(inverse(C),multiply(C,multiply(inverse(multiply(c3,inverse(c3))),B))) is composed into
% [280]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(A,inverse(A))),B)))
% <-> multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),B)))
% Rule [236]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(c3,inverse(c3))) is composed into [236]
% inverse(inverse(
% inverse(
% multiply(D,
% inverse(D)))))
% <->
% multiply(c3,inverse(c3))
% Rule [228]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(c3,inverse(c3))) is composed into [228]
% inverse(inverse(
% inverse(
% multiply(C,
% inverse(C)))))
% <->
% multiply(c3,inverse(c3))
% New rule produced :
% [447] inverse(multiply(c3,inverse(c3))) -> multiply(c3,inverse(c3))
% Rule
% [143]
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(multiply(c3,
% inverse(c3))),B),
% inverse(multiply(C,B)))))) ->
% inverse(inverse(C)) collapsed.
% Rule
% [185]
% inverse(multiply(multiply(inverse(multiply(c3,inverse(c3))),C),inverse(
% multiply(A,C))))
% <-> multiply(c3,inverse(multiply(inverse(A),c3))) collapsed.
% Rule
% [275]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(multiply(inverse(
% multiply(c3,
% inverse(c3))),B),
% inverse(multiply(A,B))))) ->
% inverse(multiply(c3,inverse(c3))) collapsed.
% Rule
% [279]
% multiply(inverse(C),multiply(C,multiply(inverse(multiply(c3,inverse(c3))),B)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(A,inverse(A))),B)))
% collapsed.
% Rule
% [291]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(c3,inverse(c3))),A)))
% <->
% multiply(inverse(B),multiply(B,multiply(inverse(multiply(C,inverse(C))),A)))
% collapsed.
% Rule
% [295]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(inverse(inverse(
% inverse(
% multiply(C,
% inverse(C)))))),B))
% <-> multiply(inverse(A),multiply(A,B)) collapsed.
% Rule
% [299]
% multiply(inverse(multiply(c3,inverse(c3))),inverse(inverse(inverse(multiply(
% multiply(
% inverse(A),B),
% inverse(
% multiply(
% multiply(C,
% inverse(C)),B)))))))
% -> A collapsed.
% Rule
% [341]
% multiply(inverse(multiply(c3,inverse(c3))),inverse(multiply(A,B))) <->
% multiply(multiply(inverse(multiply(inverse(C),multiply(C,B))),D),inverse(
% multiply(A,D)))
% collapsed.
% Rule
% [410]
% inverse(multiply(c3,inverse(c3))) <->
% inverse(inverse(inverse(multiply(A,inverse(A))))) collapsed.
% Rule
% [412] inverse(inverse(multiply(c3,inverse(c3)))) <-> multiply(A,inverse(A))
% collapsed.
% Rule
% [431]
% inverse(multiply(inverse(multiply(c3,inverse(c3))),inverse(B))) <->
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% collapsed.
% Rule
% [435]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(inverse(multiply(A,
% inverse(A)))),B))
% <-> multiply(inverse(C),multiply(C,B)) collapsed.
% Rule
% [437]
% multiply(inverse(multiply(c3,inverse(c3))),multiply(inverse(A),multiply(A,B)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(C,inverse(C))),B)))
% collapsed.
% Rule
% [438]
% multiply(A,inverse(multiply(c3,inverse(c3)))) ->
% inverse(inverse(inverse(inverse(A)))) collapsed.
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 207
% Rule [446]
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(multiply(B,
% inverse(B)))))))
% -> inverse(inverse(inverse(inverse(A)))) is composed into [446]
% multiply(
% inverse(c3),
% multiply(c3,
% multiply(A,
% inverse(
% inverse(
% multiply(B,
% inverse(B)))))))
% ->
% inverse(
% inverse(A))
% Rule [440]
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(B)))))))
% -> inverse(inverse(inverse(inverse(B)))) is composed into [440]
% multiply(c3,
% inverse(
% multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% inverse(c3),
% inverse(
% inverse(B)))))))
% ->
% inverse(
% inverse(B))
% Rule [432]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% -> inverse(inverse(inverse(inverse(B)))) is composed into [432]
% multiply(A,
% inverse(
% multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% ->
% inverse(
% inverse(B))
% Rule [414]
% multiply(A,inverse(multiply(B,inverse(B)))) ->
% inverse(inverse(inverse(inverse(A)))) is composed into [414]
% multiply(A,
% inverse(multiply(B,
% inverse(B))))
% ->
% inverse(inverse(A))
% Rule [406]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(inverse(
% inverse(C))))))) is composed into
% [406]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(C)))))
% Rule [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c3,inverse(c3)),A),
% inverse(multiply(B,A)))))) ->
% inverse(inverse(inverse(inverse(B)))) is composed into [401]
% inverse(inverse(
% inverse(
% multiply(
% multiply(
% multiply(c3,
% inverse(c3)),A),
% inverse(
% multiply(B,A))))))
% ->
% inverse(inverse(B))
% Rule [380]
% multiply(inverse(B),multiply(B,multiply(A,inverse(inverse(inverse(
% multiply(C,
% inverse(C))))))))
% <->
% multiply(inverse(c3),multiply(c3,inverse(inverse(inverse(inverse(A)))))) is composed into
% [380]
% multiply(inverse(B),multiply(B,multiply(A,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% <-> multiply(inverse(c3),multiply(c3,inverse(inverse(A))))
% Rule [379]
% multiply(inverse(c3),multiply(c3,multiply(B,inverse(inverse(inverse(
% multiply(C,
% inverse(C))))))))
% <->
% multiply(inverse(A),multiply(A,inverse(inverse(inverse(inverse(B)))))) is composed into
% [379]
% multiply(inverse(c3),multiply(c3,multiply(B,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% <-> multiply(inverse(A),multiply(A,inverse(inverse(B))))
% Rule [377]
% 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
% [377]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(C),V_4),inverse(multiply(B,V_4))))))
% Rule [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(C,B)))))) <->
% multiply(C,inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,
% inverse(c3)),
% inverse(inverse(
% inverse(
% inverse(
% inverse(
% inverse(A))))))))))) is composed into
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% <->
% multiply(C,inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,
% inverse(c3)),
% inverse(inverse(A)))))))
% Rule [360]
% multiply(inverse(inverse(C)),A) <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(C,B)))))))) is composed into
% [360]
% multiply(inverse(inverse(C)),A) <->
% inverse(inverse(inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B))))))
% Rule [358]
% multiply(inverse(multiply(inverse(D),multiply(D,C))),B) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(
% inverse(A),
% multiply(A,B))),C)))))) is composed into
% [358]
% multiply(inverse(multiply(inverse(D),multiply(D,C))),B) <->
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(A),multiply(A,B))),C))))
% Rule [350]
% 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
% [350]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(inverse(C)),D))) ->
% multiply(inverse(inverse(inverse(A))),inverse(inverse(inverse(C))))
% Rule [346]
% inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(B,
% multiply(multiply(
% inverse(B),C),
% inverse(A)))))) ->
% inverse(inverse(inverse(inverse(C)))) is composed into [346]
% inverse(multiply(
% inverse(
% inverse(
% inverse(A))),
% inverse(
% multiply(B,
% multiply(
% multiply(
% inverse(B),C),
% inverse(A))))))
% ->
% inverse(inverse(C))
% Rule [337]
% multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D))) ->
% multiply(inverse(inverse(inverse(inverse(A)))),inverse(inverse(inverse(B)))) is composed into
% [337]
% multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D))) ->
% multiply(inverse(inverse(A)),inverse(inverse(inverse(B))))
% Rule [336]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))) is composed into
% [336] multiply(c3,inverse(c3)) <-> inverse(inverse(multiply(A,inverse(A))))
% Rule [334]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))) is composed into
% [334]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(multiply(A,inverse(A)))))
% Rule [321]
% multiply(C,inverse(A)) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(
% inverse(A)))),B),
% inverse(multiply(C,B)))))) is composed into
% [321]
% multiply(C,inverse(A)) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% Rule [306]
% multiply(inverse(inverse(B)),inverse(A)) <->
% inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(B),
% inverse(multiply(C,
% inverse(C)))))))))) is composed into
% [306]
% multiply(inverse(inverse(B)),inverse(A)) <->
% inverse(inverse(inverse(multiply(A,multiply(inverse(B),inverse(multiply(C,
% inverse(C))))))))
% Rule [265]
% multiply(A,inverse(multiply(C,inverse(C)))) ->
% inverse(inverse(inverse(inverse(A)))) is composed into [265]
% multiply(A,
% inverse(multiply(C,
% inverse(C))))
% ->
% inverse(inverse(A))
% Rule [261]
% 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
% [261]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(multiply(A,
% inverse(A)))),B),
% inverse(multiply(C,B))))))
% Rule [259]
% inverse(multiply(A,inverse(multiply(B,inverse(inverse(inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% inverse(A))))))))))))
% -> inverse(inverse(inverse(inverse(C)))) is composed into [259]
% inverse(
% multiply(A,
% inverse(
% multiply(B,
% inverse(
% inverse(
% inverse(
% multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% inverse(A))))))))))))
% ->
% inverse(
% inverse(C))
% Rule [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),
% inverse(inverse(inverse(inverse(A))))))) is composed into
% [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),inverse(
% inverse(A)))))
% Rule [121]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(
% inverse(C),D),B)))))
% -> inverse(inverse(inverse(inverse(D)))) is composed into [121]
% inverse(
% multiply(
% multiply(
% inverse(A),
% multiply(A,B)),
% inverse(
% multiply(C,
% multiply(
% multiply(
% inverse(C),D),B)))))
% ->
% inverse(
% inverse(D))
% Rule [47]
% multiply(inverse(inverse(A)),B) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(inverse(
% inverse(B))))))) is composed into
% [47]
% multiply(inverse(inverse(A)),B) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(B)))))
% New rule produced :
% [448] inverse(inverse(inverse(inverse(A)))) -> inverse(inverse(A))
% Rule
% [260]
% 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
% [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(multiply(C,inverse(C)),B))))))))
% ->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),inverse(
% inverse(
% inverse(
% inverse(A)))))))
% collapsed.
% Rule
% [303]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(A)))),B),inverse(
% multiply(
% inverse(
% inverse(C)),B))))
% <->
% inverse(inverse(inverse(multiply(A,multiply(inverse(C),inverse(multiply(D,
% inverse(D))))))))
% collapsed.
% Rule
% [305]
% inverse(inverse(inverse(inverse(inverse(multiply(A,multiply(inverse(B),
% inverse(multiply(C,
% inverse(C))))))))))
% <-> multiply(inverse(inverse(B)),inverse(A)) collapsed.
% Rule
% [320]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(A)))),B),
% inverse(multiply(C,B)))))) <-> multiply(C,inverse(A))
% collapsed.
% Rule
% [327]
% 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
% [331]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(c3)))),A),inverse(
% multiply(
% inverse(B),A))))
% ->
% multiply(c3,inverse(multiply(c3,multiply(B,inverse(inverse(inverse(inverse(c3))))))))
% collapsed.
% Rule
% [333]
% inverse(inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [335]
% inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [357]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(A),
% multiply(A,B))),C))))))
% <-> multiply(inverse(multiply(inverse(D),multiply(D,C))),B) collapsed.
% Rule
% [359]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(A),B),
% inverse(multiply(C,B)))))))) <->
% multiply(inverse(inverse(C)),A) collapsed.
% Rule
% [369]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(inverse(
% inverse(
% inverse(
% multiply(A,
% inverse(A)))))),B),
% inverse(multiply(C,B)))))))) -> C
% collapsed.
% Rule
% [373]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(
% inverse(C),
% multiply(
% inverse(inverse(
% inverse(
% inverse(C)))),B)))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [376]
% 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 [439] inverse(inverse(inverse(inverse(inverse(inverse(A)))))) -> A
% collapsed.
% Rule
% [441]
% multiply(multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(
% inverse(
% inverse(B))))))),
% inverse(multiply(C,B))) ->
% multiply(A,inverse(inverse(inverse(inverse(inverse(C)))))) collapsed.
% Rule
% [442]
% multiply(c3,inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(A),
% inverse(inverse(
% inverse(
% inverse(c3)))))))))
% -> inverse(inverse(A)) collapsed.
% Current number of equations to process: 4088
% Current number of ordered equations: 0
% Current number of rules: 191
% Rule [430]
% multiply(multiply(inverse(A),C),inverse(multiply(inverse(multiply(
% inverse(D),
% multiply(D,B))),C)))
% -> inverse(inverse(multiply(inverse(A),B))) is composed into [430]
% multiply(
% multiply(
% inverse(A),C),
% inverse(
% multiply(
% inverse(
% multiply(
% inverse(D),
% multiply(D,B))),C)))
% ->
% multiply(
% inverse(A),B)
% Rule [424]
% 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
% [424]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(A),C)))))
% Rule [417]
% multiply(multiply(inverse(C),D),inverse(multiply(B,D))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(C))))) is composed into
% [417]
% multiply(multiply(inverse(C),D),inverse(multiply(B,D))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))
% Rule [414] multiply(A,inverse(multiply(B,inverse(B)))) -> inverse(inverse(A)) is composed into
% [414] multiply(A,inverse(multiply(B,inverse(B)))) -> A
% Rule [409] multiply(A,multiply(B,inverse(B))) -> inverse(inverse(A)) is composed into
% [409] multiply(A,multiply(B,inverse(B))) -> A
% Rule [403]
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),inverse(C))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(C),D),inverse(
% multiply(A,D)))))) is composed into
% [403]
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),inverse(C)))) <->
% inverse(multiply(multiply(inverse(C),D),inverse(multiply(A,D))))
% Rule [395]
% 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
% [395]
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4)))))) <->
% inverse(multiply(multiply(inverse(multiply(A,B)),C),inverse(multiply(D,C))))
% Rule [391]
% 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))) is composed into [391]
% multiply(multiply(inverse(A),D),
% inverse(multiply(multiply(
% inverse(multiply(V_4,
% inverse(V_4))),C),D)))
% <->
% multiply(multiply(inverse(A),
% inverse(multiply(B,C))),B)
% Rule [388]
% 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)))))) is composed into
% [388]
% multiply(A,multiply(multiply(inverse(B),C),inverse(multiply(D,C)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(B),inverse(D))),V_4),
% inverse(multiply(A,V_4))))
% Rule [377]
% multiply(inverse(A),multiply(A,multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(C),V_4),inverse(
% multiply(B,V_4)))))) is composed into
% [377]
% 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 [361]
% 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))) is composed into
% [361]
% multiply(inverse(A),multiply(A,multiply(B,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,D)))))) ->
% multiply(B,multiply(inverse(C),inverse(V_4)))
% Rule [358]
% multiply(inverse(multiply(inverse(D),multiply(D,C))),B) <->
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(A),multiply(A,B))),C)))) is composed into
% [358]
% multiply(inverse(multiply(inverse(D),multiply(D,C))),B) <->
% inverse(multiply(inverse(multiply(inverse(A),multiply(A,B))),C))
% Rule [347]
% 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
% [347]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),multiply(C,
% inverse(B)))))))
% Rule [336]
% multiply(c3,inverse(c3)) <-> inverse(inverse(multiply(A,inverse(A)))) is composed into
% [336] multiply(c3,inverse(c3)) <-> multiply(A,inverse(A))
% Rule [334]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(multiply(A,inverse(A))))) is composed into
% [334] multiply(c3,inverse(c3)) <-> inverse(multiply(A,inverse(A)))
% Rule [325]
% multiply(inverse(multiply(inverse(A),B)),multiply(multiply(inverse(A),C),
% inverse(multiply(D,C)))) <->
% inverse(inverse(inverse(multiply(D,B)))) is composed into [325]
% multiply(
% inverse(
% multiply(
% inverse(A),B)),
% multiply(
% multiply(
% inverse(A),C),
% inverse(
% multiply(D,C))))
% <->
% inverse(
% multiply(D,B))
% Rule [321]
% multiply(C,inverse(A)) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),
% inverse(multiply(C,B)))))) is composed into
% [321]
% multiply(C,inverse(A)) <->
% inverse(multiply(multiply(A,B),inverse(multiply(C,B))))
% Rule [318]
% multiply(multiply(inverse(C),D),inverse(multiply(B,D))) <->
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(C,
% inverse(A))))) is composed into
% [318]
% multiply(multiply(inverse(C),D),inverse(multiply(B,D))) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(A)))))
% Rule [312]
% multiply(A,multiply(inverse(C),inverse(multiply(D,inverse(D))))) <->
% multiply(multiply(inverse(inverse(A)),B),inverse(multiply(C,B))) is composed into
% [312]
% multiply(A,multiply(inverse(C),inverse(multiply(D,inverse(D))))) <->
% multiply(multiply(A,B),inverse(multiply(C,B)))
% Rule [308]
% multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C))))) <->
% inverse(inverse(inverse(multiply(B,multiply(inverse(A),inverse(multiply(D,
% inverse(D)))))))) is composed into
% [308]
% multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(B,multiply(inverse(A),inverse(multiply(D,inverse(D))))))
% Rule [293]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(A),multiply(A,B)))
% <->
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(D,
% inverse(D)))),B))) is composed into
% [293]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(A),multiply(A,B))) <->
% multiply(inverse(C),multiply(C,multiply(multiply(D,inverse(D)),B)))
% Rule [277]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(c3),multiply(c3,A)),
% inverse(multiply(B,multiply(C,A))))))) is composed into
% [277]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(inverse(c3),multiply(c3,A)),inverse(multiply(B,
% multiply(C,A)))))
% Rule [265] multiply(A,inverse(multiply(C,inverse(C)))) -> inverse(inverse(A)) is composed into
% [265] multiply(A,inverse(multiply(C,inverse(C)))) -> A
% Rule [262]
% 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
% [262]
% multiply(inverse(B),inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,
% inverse(C))))))))
% Rule [261]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(multiply(A,
% inverse(A)))),B),
% inverse(multiply(C,B)))))) is composed into
% [261]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(C,B))))
% Rule [251]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(multiply(c3,inverse(c3)),inverse(
% multiply(B,
% inverse(
% inverse(C)))))))) is composed into
% [251]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(B,C))))
% Rule [246]
% multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(A),B),inverse(
% multiply(C,B)))))) is composed into
% [246]
% multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B))))
% Rule [244]
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,inverse(C)),
% multiply(B,inverse(multiply(D,inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B) is composed into
% [244]
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(multiply(A,inverse(A)),B)
% Rule [239]
% 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
% [239]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,C))))
% Rule [214]
% multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(
% multiply(C,
% inverse(C))),D),
% inverse(multiply(A,D)))))) ->
% inverse(inverse(A)) is composed into [214]
% multiply(inverse(B),multiply(B,
% inverse(
% multiply(
% multiply(
% inverse(
% multiply(C,
% inverse(C))),D),
% inverse(
% multiply(A,D))))))
% -> A
% Rule [199]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,
% inverse(c3))))) <->
% multiply(inverse(A),multiply(A,inverse(inverse(inverse(c3))))) is composed into
% [199]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(c3)))))
% <-> multiply(inverse(A),multiply(A,inverse(c3)))
% Rule [197]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,
% inverse(B))))) <->
% multiply(inverse(A),multiply(A,inverse(inverse(inverse(B))))) is composed into
% [197]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(B)))))
% <-> multiply(inverse(A),multiply(A,inverse(B)))
% Rule [192]
% multiply(D,B) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(A),
% multiply(A,B))),C),
% inverse(multiply(D,C)))))) is composed into
% [192]
% multiply(D,B) <->
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C))))
% Rule [174]
% multiply(inverse(B),multiply(B,inverse(c3))) ->
% inverse(inverse(inverse(c3))) is composed into [174]
% multiply(inverse(B),
% multiply(B,inverse(c3)))
% -> inverse(c3)
% Rule [172]
% multiply(inverse(B),multiply(B,inverse(A))) ->
% inverse(inverse(inverse(A))) is composed into [172]
% multiply(inverse(B),
% multiply(B,inverse(A))) ->
% inverse(A)
% Rule [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),
% inverse(inverse(A))))) is composed into
% [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),A)))
% Rule [154]
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),
% multiply(B,inverse(multiply(D,inverse(D)))))))
% <-> multiply(inverse(inverse(multiply(A,inverse(A)))),B) is composed into
% [154]
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(multiply(A,inverse(A)),B)
% Rule [127]
% inverse(multiply(multiply(inverse(B),V_4),inverse(multiply(A,V_4)))) <->
% multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),inverse(
% multiply(
% inverse(c3),
% multiply(
% multiply(A,
% multiply(B,
% inverse(
% multiply(C,
% inverse(C))))),
% inverse(c3))))))) is composed into
% [127]
% inverse(multiply(multiply(inverse(B),V_4),inverse(multiply(A,V_4)))) <->
% multiply(c3,inverse(multiply(inverse(c3),inverse(multiply(inverse(c3),
% multiply(multiply(A,
% multiply(B,
% inverse(multiply(C,
% inverse(C))))),
% inverse(c3)))))))
% Rule [126]
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B) ->
% inverse(multiply(inverse(c3),inverse(inverse(c3)))) is composed into
% [126]
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B) ->
% inverse(multiply(inverse(c3),c3))
% Rule [121]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(
% inverse(C),D),B)))))
% -> inverse(inverse(D)) is composed into [121]
% inverse(multiply(multiply(
% inverse(A),
% multiply(A,B)),
% inverse(multiply(C,
% multiply(
% multiply(
% inverse(C),D),B)))))
% -> D
% Rule [120]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),inverse(
% multiply(
% inverse(c3),
% multiply(
% multiply(D,B),
% inverse(c3))))))) is composed into
% [120]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(c3,inverse(multiply(inverse(c3),inverse(multiply(inverse(c3),
% multiply(multiply(D,B),
% inverse(c3)))))))
% Rule [76]
% 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)) is composed into
% [76]
% multiply(inverse(D),multiply(D,multiply(A,multiply(B,multiply(C,inverse(
% multiply(V_4,
% inverse(V_4))))))))
% -> multiply(A,multiply(B,C))
% Rule [75]
% multiply(inverse(C),multiply(C,multiply(A,multiply(B,inverse(multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(A)),B) is composed into [75]
% multiply(inverse(C),
% multiply(C,
% multiply(A,
% multiply(B,
% inverse(multiply(D,
% inverse(D)))))))
% -> multiply(A,B)
% Rule [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,B))),D),
% inverse(multiply(inverse(inverse(A)),D)))) is composed into
% [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,B))),D),
% inverse(multiply(A,D))))
% New rule produced : [449] inverse(inverse(A)) -> A
% Rule
% [22]
% multiply(inverse(inverse(A)),B) <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% collapsed.
% Rule
% [25]
% multiply(inverse(inverse(c3)),A) <->
% multiply(inverse(B),multiply(B,multiply(c3,multiply(A,inverse(multiply(C,
% inverse(C)))))))
% collapsed.
% Rule
% [31]
% multiply(inverse(inverse(c3)),multiply(inverse(inverse(A)),B)) <->
% multiply(inverse(C),multiply(C,multiply(c3,multiply(A,multiply(B,inverse(
% multiply(D,
% inverse(D))))))))
% collapsed.
% Rule
% [32]
% multiply(inverse(inverse(A)),multiply(inverse(inverse(B)),C)) <->
% multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,multiply(C,inverse(
% multiply(D,
% inverse(D))))))))
% collapsed.
% Rule
% [46]
% multiply(inverse(inverse(A)),C) <->
% multiply(inverse(A),multiply(A,multiply(A,multiply(C,inverse(multiply(D,
% inverse(D)))))))
% collapsed.
% Rule
% [47]
% multiply(inverse(inverse(A)),B) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(B))))) collapsed.
% Rule
% [74]
% multiply(inverse(inverse(A)),multiply(inverse(B),multiply(B,C))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,C))) collapsed.
% Rule
% [82]
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(inverse(inverse(C)),B))))
% <->
% multiply(C,multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),
% inverse(multiply(inverse(c3),multiply(
% multiply(A,
% inverse(multiply(D,
% inverse(D)))),
% inverse(c3))))))))
% collapsed.
% Rule
% [87]
% 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
% [153]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% collapsed.
% Rule
% [183]
% inverse(multiply(multiply(inverse(multiply(B,inverse(B))),C),inverse(
% multiply(
% inverse(
% inverse(A)),C))))
% -> inverse(inverse(A)) collapsed.
% Rule
% [190]
% multiply(A,inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),
% inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(
% inverse(B),
% inverse(
% inverse(A))))))))))))
% <-> multiply(B,inverse(multiply(C,inverse(C)))) collapsed.
% Rule
% [191]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(A),
% multiply(A,B))),C),
% inverse(multiply(D,C)))))) <-> multiply(D,B)
% collapsed.
% Rule
% [207]
% multiply(A,multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(
% multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(A),C)))))))))
% -> C collapsed.
% Rule
% [211]
% multiply(inverse(A),multiply(inverse(B),multiply(B,inverse(multiply(multiply(c3,
% inverse(c3)),
% inverse(multiply(A,
% inverse(
% inverse(C)))))))))
% -> C collapsed.
% Rule
% [227]
% multiply(inverse(inverse(A)),inverse(inverse(inverse(B)))) ->
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(B)))) collapsed.
% Rule
% [228]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [230]
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),
% inverse(multiply(B,C)))))) -> multiply(B,C)
% collapsed.
% Rule
% [231]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C))))
% <->
% multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),inverse(multiply(
% inverse(c3),
% multiply(
% multiply(B,C),
% inverse(c3)))))))
% collapsed.
% Rule
% [234]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(C,inverse(C))),D),
% inverse(multiply(A,D)))))) -> inverse(inverse(A))
% collapsed.
% Rule
% [235]
% multiply(A,inverse(multiply(inverse(inverse(inverse(multiply(B,inverse(B))))),
% inverse(multiply(inverse(A),C))))) -> C collapsed.
% Rule
% [236]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [237]
% 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
% [238]
% 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
% [243]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% collapsed.
% Rule
% [245]
% inverse(inverse(inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B))))))
% <-> multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [250]
% inverse(inverse(inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(B,
% inverse(
% inverse(C))))))))
% <-> multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [257]
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C))))))))
% <->
% multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),inverse(multiply(
% inverse(c3),
% multiply(
% multiply(A,C),
% inverse(c3)))))))
% collapsed.
% Rule
% [259]
% inverse(multiply(A,inverse(multiply(B,inverse(inverse(inverse(multiply(
% multiply(c3,
% inverse(c3)),
% inverse(
% multiply(
% multiply(
% inverse(B),C),
% inverse(
% inverse(A))))))))))))
% -> inverse(inverse(C)) collapsed.
% Rule
% [263]
% 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
% [267]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(inverse(B),C),
% inverse(multiply(A,C))))))) -> B
% collapsed.
% Rule
% [273]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(inverse(c3),
% multiply(c3,B)),
% inverse(multiply(A,multiply(C,B))))))))
% -> C collapsed.
% Rule
% [276]
% inverse(inverse(inverse(multiply(multiply(inverse(c3),multiply(c3,A)),
% inverse(multiply(B,multiply(C,A))))))) <->
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [282]
% multiply(inverse(c3),multiply(c3,multiply(inverse(inverse(multiply(A,
% inverse(A)))),B)))
% <-> multiply(multiply(c3,inverse(c3)),multiply(inverse(c3),multiply(c3,B)))
% collapsed.
% Rule
% [285]
% inverse(multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(
% inverse(A),
% multiply(A,B)))))
% -> B collapsed.
% Rule
% [286]
% inverse(inverse(inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(
% multiply(C,
% multiply(
% multiply(D,
% inverse(D)),B)))))))
% -> inverse(inverse(C)) collapsed.
% Rule
% [287]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(
% inverse(inverse(C)),
% multiply(
% multiply(D,
% inverse(D)),B)))))
% -> inverse(inverse(C)) collapsed.
% Rule
% [292]
% multiply(inverse(C),multiply(C,multiply(inverse(inverse(multiply(D,inverse(D)))),B)))
% <-> multiply(multiply(c3,inverse(c3)),multiply(inverse(A),multiply(A,B)))
% collapsed.
% Rule
% [297]
% inverse(inverse(inverse(multiply(inverse(B),multiply(B,A))))) <->
% inverse(inverse(inverse(multiply(inverse(c3),multiply(c3,A))))) collapsed.
% Rule
% [301]
% inverse(inverse(inverse(multiply(A,multiply(inverse(C),inverse(multiply(D,
% inverse(D))))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% collapsed.
% Rule
% [302]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% <->
% inverse(inverse(inverse(multiply(A,multiply(inverse(C),inverse(multiply(D,
% inverse(D))))))))
% collapsed.
% Rule
% [304]
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,multiply(inverse(A),
% inverse(multiply(C,
% inverse(C)))))))))
% -> inverse(B) collapsed.
% Rule
% [306]
% multiply(inverse(inverse(B)),inverse(A)) <->
% inverse(inverse(inverse(multiply(A,multiply(inverse(B),inverse(multiply(C,
% inverse(C))))))))
% collapsed.
% Rule
% [307]
% inverse(inverse(inverse(multiply(B,multiply(inverse(A),inverse(multiply(D,
% inverse(D))))))))
% <-> multiply(A,multiply(inverse(B),inverse(multiply(C,inverse(C)))))
% collapsed.
% Rule
% [319]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(C,inverse(A)))))
% <-> multiply(multiply(inverse(C),D),inverse(multiply(B,D))) collapsed.
% Rule
% [324]
% inverse(inverse(inverse(multiply(D,B)))) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(multiply(inverse(A),C),
% inverse(multiply(D,C)))) collapsed.
% Rule
% [337]
% multiply(multiply(inverse(inverse(A)),D),inverse(multiply(B,D))) ->
% multiply(inverse(inverse(A)),inverse(inverse(inverse(B)))) collapsed.
% Rule
% [346]
% inverse(multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(
% multiply(
% inverse(B),C),
% inverse(A))))))
% -> inverse(inverse(C)) collapsed.
% Rule
% [348]
% 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
% [350]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(inverse(C)),D))) ->
% multiply(inverse(inverse(inverse(A))),inverse(inverse(inverse(C))))
% collapsed.
% Rule
% [354]
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(C))))))) <->
% multiply(inverse(inverse(A)),B) collapsed.
% Rule
% [355]
% multiply(inverse(inverse(A)),B) <->
% inverse(inverse(multiply(A,multiply(B,inverse(multiply(C,inverse(C)))))))
% collapsed.
% Rule
% [360]
% multiply(inverse(inverse(C)),A) <->
% inverse(inverse(inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B))))))
% collapsed.
% Rule
% [362]
% 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))))))
% collapsed.
% Rule
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(A)),B),inverse(
% multiply(C,B))))))
% <->
% multiply(C,inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,
% inverse(c3)),
% inverse(inverse(A)))))))
% collapsed.
% Rule
% [368]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(multiply(c3,
% inverse(c3)),
% inverse(multiply(inverse(B),
% inverse(inverse(C)))))))))
% -> C collapsed.
% Rule
% [371]
% multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),inverse(multiply(
% inverse(c3),
% multiply(
% multiply(A,
% inverse(A)),
% inverse(c3)))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [379]
% multiply(inverse(c3),multiply(c3,multiply(B,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% <-> multiply(inverse(A),multiply(A,inverse(inverse(B)))) collapsed.
% Rule
% [380]
% multiply(inverse(B),multiply(B,multiply(A,inverse(inverse(inverse(multiply(C,
% inverse(C))))))))
% <-> multiply(inverse(c3),multiply(c3,inverse(inverse(A)))) collapsed.
% Rule
% [385]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(
% inverse(B),
% multiply(B,C)))))))))
% -> C collapsed.
% Rule
% [386]
% multiply(inverse(A),inverse(inverse(inverse(multiply(multiply(c3,inverse(c3)),
% inverse(multiply(A,inverse(
% inverse(B)))))))))
% -> B collapsed.
% Rule
% [387]
% 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
% [389]
% 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
% [390]
% 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)))
% collapsed.
% Rule
% [392]
% inverse(inverse(inverse(multiply(C,inverse(C))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [393]
% multiply(inverse(A),multiply(B,inverse(multiply(multiply(c3,inverse(c3)),
% inverse(multiply(inverse(B),inverse(
% inverse(A))))))))
% <-> inverse(inverse(inverse(multiply(C,inverse(C))))) collapsed.
% Rule
% [394]
% 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
% [396]
% inverse(inverse(multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),
% inverse(multiply(inverse(c3),multiply(
% multiply(A,B),
% inverse(c3)))))))))
% -> multiply(A,B) collapsed.
% Rule
% [398]
% multiply(A,multiply(c3,inverse(multiply(inverse(inverse(inverse(c3))),
% inverse(multiply(inverse(c3),multiply(
% multiply(
% inverse(A),B),
% inverse(c3))))))))
% -> B collapsed.
% Rule
% [399]
% 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
% [400]
% inverse(inverse(inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B)))))
% -> B collapsed.
% Rule
% [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c3,inverse(c3)),A),
% inverse(multiply(B,A)))))) -> inverse(inverse(B))
% collapsed.
% Rule
% [402]
% inverse(inverse(inverse(multiply(multiply(inverse(C),D),inverse(multiply(A,D))))))
% <-> multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),inverse(C))))
% collapsed.
% Rule
% [406]
% multiply(inverse(inverse(B)),C) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(inverse(C))))) collapsed.
% Rule
% [407]
% inverse(inverse(inverse(multiply(C,multiply(inverse(A),inverse(multiply(D,
% inverse(D))))))))
% <->
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),inverse(inverse(C)))))
% collapsed.
% Rule
% [408]
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),inverse(inverse(C)))))
% <->
% inverse(inverse(inverse(multiply(C,multiply(inverse(A),inverse(multiply(D,
% inverse(D))))))))
% collapsed.
% Rule
% [411]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [418]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(C))))) <->
% multiply(multiply(inverse(C),D),inverse(multiply(B,D))) collapsed.
% Rule
% [420]
% inverse(multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(A,
% inverse(A))),
% inverse(inverse(inverse(B))))))) ->
% inverse(inverse(B)) collapsed.
% Rule
% [425]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(inverse(A),
% inverse(inverse(C)))))))
% <-> multiply(C,inverse(multiply(D,inverse(D)))) collapsed.
% Rule
% [427]
% multiply(c3,inverse(multiply(inverse(c3),multiply(c3,multiply(multiply(c3,
% inverse(c3)),
% inverse(inverse(c3)))))))
% <-> inverse(multiply(A,inverse(A))) collapsed.
% Rule
% [429]
% multiply(inverse(inverse(multiply(B,inverse(B)))),multiply(inverse(A),
% inverse(multiply(C,
% inverse(C))))) ->
% inverse(A) collapsed.
% Rule
% [432]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(A),
% inverse(
% inverse(B)))))))
% -> inverse(inverse(B)) collapsed.
% Rule
% [440]
% multiply(c3,inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(
% inverse(c3),
% inverse(
% inverse(B)))))))
% -> inverse(inverse(B)) collapsed.
% Rule
% [445]
% multiply(multiply(inverse(c3),multiply(c3,multiply(inverse(c3),multiply(c3,
% multiply(A,
% inverse(
% inverse(D))))))),
% inverse(multiply(C,D))) <->
% multiply(multiply(inverse(c3),multiply(c3,multiply(inverse(c3),multiply(c3,
% multiply(A,
% inverse(
% inverse(B))))))),
% inverse(multiply(C,B))) collapsed.
% Rule
% [446]
% multiply(inverse(c3),multiply(c3,multiply(A,inverse(inverse(multiply(B,
% inverse(B)))))))
% -> inverse(inverse(A)) collapsed.
% Rule [448] inverse(inverse(inverse(inverse(A)))) -> inverse(inverse(A))
% collapsed.
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 105
% Rule [290]
% multiply(inverse(B),multiply(B,multiply(inverse(multiply(C,inverse(C))),A)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),A))) is composed into
% [290]
% multiply(inverse(B),multiply(B,multiply(inverse(multiply(C,inverse(C))),A)))
% <-> multiply(multiply(c3,inverse(c3)),A)
% Rule [283]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),A))) <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),A))) is composed into
% [283]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),A))) <->
% multiply(multiply(c3,inverse(c3)),A)
% Rule [270]
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),B)))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,inverse(A)),B))) is composed into
% [270]
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),B))) <->
% multiply(multiply(A,inverse(A)),B)
% Rule [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <->
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),A))) is composed into
% [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(multiply(c3,inverse(c3)),A)
% New rule produced :
% [450] multiply(inverse(c3),multiply(c3,multiply(A,B))) -> multiply(A,B)
% Rule
% [197]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(B)))))
% <-> multiply(inverse(A),multiply(A,inverse(B))) collapsed.
% Rule
% [199]
% multiply(inverse(c3),multiply(c3,multiply(inverse(C),multiply(C,inverse(c3)))))
% <-> multiply(inverse(A),multiply(A,inverse(c3))) collapsed.
% Rule
% [244]
% multiply(inverse(c3),multiply(c3,multiply(multiply(C,inverse(C)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(multiply(A,inverse(A)),B) collapsed.
% Rule
% [271]
% multiply(inverse(c3),multiply(c3,multiply(multiply(A,inverse(A)),B))) <->
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),B)))
% collapsed.
% Rule
% [280]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(A,inverse(A))),B)))
% <-> multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),B)))
% collapsed.
% Rule
% [284]
% multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),A))) <->
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),A)))
% collapsed.
% Rule
% [436]
% multiply(inverse(c3),multiply(c3,multiply(inverse(multiply(C,inverse(C))),B)))
% <-> multiply(inverse(c3),multiply(c3,multiply(multiply(c3,inverse(c3)),B)))
% collapsed.
% Current number of equations to process: 4155
% Current number of ordered equations: 0
% Current number of rules: 99
% Rule [239]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,C)))) is composed into
% [239]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) -> multiply(B,C)
% New rule produced :
% [451] inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B))) -> B
% Rule
% [403]
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),inverse(C)))) <->
% inverse(multiply(multiply(inverse(C),D),inverse(multiply(A,D)))) collapsed.
% Rule
% [404]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,inverse(B))),
% inverse(A)))) -> multiply(c3,inverse(c3))
% collapsed.
% Current number of equations to process: 4156
% Current number of ordered equations: 0
% Current number of rules: 98
% Rule [126]
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B) ->
% inverse(multiply(inverse(c3),c3)) is composed into [126]
% multiply(inverse(
% multiply(
% inverse(A),
% multiply(A,B))),B)
% ->
% inverse(multiply(c3,
% inverse(c3)))
% New rule produced : [452] multiply(inverse(A),A) -> multiply(c3,inverse(c3))
% Current number of equations to process: 4155
% Current number of ordered equations: 0
% Current number of rules: 99
% Rule [293]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(A),multiply(A,B)))
% <-> multiply(inverse(C),multiply(C,multiply(multiply(D,inverse(D)),B))) is composed into
% [293]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(A),multiply(A,B))) <->
% multiply(multiply(D,inverse(D)),B)
% New rule produced :
% [453] multiply(inverse(A),multiply(A,multiply(B,C))) -> multiply(B,C)
% Rule
% [14]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,inverse(C))))))
% -> B collapsed.
% Rule
% [71]
% multiply(inverse(A),multiply(A,multiply(c3,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <->
% multiply(inverse(D),multiply(D,multiply(c3,multiply(B,inverse(multiply(V_4,
% inverse(V_4)))))))
% collapsed.
% Rule
% [75]
% multiply(inverse(C),multiply(C,multiply(A,multiply(B,inverse(multiply(D,
% inverse(D)))))))
% -> multiply(A,B) collapsed.
% Rule
% [76]
% multiply(inverse(D),multiply(D,multiply(A,multiply(B,multiply(C,inverse(
% multiply(V_4,
% inverse(V_4))))))))
% -> multiply(A,multiply(B,C)) collapsed.
% Rule
% [154]
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),multiply(B,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(multiply(A,inverse(A)),B) collapsed.
% Rule
% [155]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),multiply(A,
% inverse(
% multiply(D,
% inverse(D)))))))
% <-> multiply(multiply(c3,inverse(c3)),A) collapsed.
% Rule
% [200]
% 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
% [270]
% multiply(inverse(C),multiply(C,multiply(multiply(c3,inverse(c3)),B))) <->
% multiply(multiply(A,inverse(A)),B) collapsed.
% Rule
% [283]
% multiply(inverse(B),multiply(B,multiply(multiply(C,inverse(C)),A))) <->
% multiply(multiply(c3,inverse(c3)),A) collapsed.
% Rule
% [290]
% multiply(inverse(B),multiply(B,multiply(inverse(multiply(C,inverse(C))),A)))
% <-> multiply(multiply(c3,inverse(c3)),A) collapsed.
% Rule
% [315]
% multiply(inverse(A),multiply(A,multiply(multiply(inverse(B),C),inverse(
% multiply(D,C)))))
% -> multiply(inverse(B),inverse(D)) collapsed.
% Rule
% [361]
% multiply(inverse(A),multiply(A,multiply(B,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,D)))))) ->
% multiply(B,multiply(inverse(C),inverse(V_4))) collapsed.
% Rule
% [370]
% multiply(inverse(A),multiply(A,multiply(B,multiply(inverse(C),multiply(C,D)))))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(B,multiply(inverse(V_5),multiply(V_5,D)))))
% collapsed.
% Rule
% [377]
% 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))))
% collapsed.
% Rule
% [397]
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(inverse(B),multiply(B,C))))),
% multiply(inverse(D),multiply(D,C))) -> multiply(c3,inverse(c3)) collapsed.
% Rule [450] multiply(inverse(c3),multiply(c3,multiply(A,B))) -> multiply(A,B)
% collapsed.
% Current number of equations to process: 4158
% Current number of ordered equations: 0
% Current number of rules: 84
% Rule [395]
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4))))))
% <->
% inverse(multiply(multiply(inverse(multiply(A,B)),C),inverse(multiply(D,C)))) is composed into
% [395]
% multiply(D,multiply(A,multiply(B,inverse(multiply(V_4,inverse(V_4)))))) <->
% inverse(multiply(inverse(multiply(A,B)),inverse(D)))
% Rule [353]
% 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
% [353]
% multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C)) -> multiply(inverse(A),inverse(inverse(B)))
% Rule [340]
% 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
% [340]
% multiply(multiply(inverse(A),multiply(B,C)),inverse(multiply(inverse(D),
% multiply(D,C)))) ->
% multiply(inverse(A),inverse(inverse(B)))
% Rule [329]
% 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
% [329]
% multiply(A,inverse(multiply(B,multiply(C,multiply(A,inverse(multiply(D,
% inverse(D))))))))
% <-> multiply(inverse(C),inverse(B))
% Rule [323]
% 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
% [323]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,multiply(D,B))))
% <-> multiply(inverse(D),inverse(C))
% Rule [321]
% multiply(C,inverse(A)) <->
% inverse(multiply(multiply(A,B),inverse(multiply(C,B)))) is composed into
% [321] multiply(C,inverse(A)) <-> inverse(multiply(A,inverse(C)))
% Rule [312]
% multiply(A,multiply(inverse(C),inverse(multiply(D,inverse(D))))) <->
% multiply(multiply(A,B),inverse(multiply(C,B))) is composed into
% [312]
% multiply(A,multiply(inverse(C),inverse(multiply(D,inverse(D))))) ->
% multiply(A,inverse(C))
% Rule [261]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(multiply(A,inverse(A)),B),inverse(multiply(C,B)))) is composed into
% [261]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(A,inverse(A)),inverse(C)))
% Rule [246]
% multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) is composed into
% [246]
% multiply(C,multiply(A,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(inverse(A),inverse(C)))
% Rule [192]
% multiply(D,B) <->
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) is composed into [192]
% multiply(D,B) <->
% inverse(multiply(
% inverse(
% multiply(
% inverse(A),
% multiply(A,B))),
% inverse(D)))
% Rule [68]
% 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
% [68]
% multiply(D,multiply(B,inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(B),inverse(D)))))
% Rule [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c3),multiply(c3,B))),D),
% inverse(multiply(A,D)))) is composed into [59]
% multiply(A,multiply(B,
% inverse(
% multiply(C,
% inverse(C)))))
% <->
% inverse(multiply(
% inverse(
% multiply(
% inverse(c3),
% multiply(c3,B))),
% inverse(A)))
% Rule [53]
% multiply(D,B) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(
% multiply(
% inverse(c3),
% multiply(c3,B))),C),
% inverse(multiply(D,C)))))) is composed into
% [53]
% multiply(D,B) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(multiply(inverse(c3),
% multiply(c3,B))),
% inverse(D)))))
% New rule produced :
% [454]
% multiply(multiply(A,D),inverse(multiply(B,D))) -> multiply(A,inverse(B))
% Rule
% [67]
% 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
% [72]
% multiply(inverse(A),multiply(inverse(B),multiply(B,inverse(multiply(multiply(
% inverse(C),D),
% inverse(multiply(A,D)))))))
% -> C collapsed.
% Rule
% [77]
% multiply(A,inverse(multiply(multiply(inverse(B),C),inverse(multiply(inverse(A),C)))))
% <-> multiply(B,inverse(multiply(D,inverse(D)))) collapsed.
% Rule
% [84]
% 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
% [120]
% inverse(multiply(multiply(inverse(multiply(inverse(A),multiply(A,B))),C),
% inverse(multiply(D,C)))) <->
% multiply(c3,inverse(multiply(inverse(c3),inverse(multiply(inverse(c3),
% multiply(multiply(D,B),
% inverse(c3))))))) collapsed.
% Rule
% [127]
% inverse(multiply(multiply(inverse(B),V_4),inverse(multiply(A,V_4)))) <->
% multiply(c3,inverse(multiply(inverse(c3),inverse(multiply(inverse(c3),
% multiply(multiply(A,
% multiply(B,
% inverse(multiply(C,
% inverse(C))))),
% inverse(c3))))))) collapsed.
% Rule
% [168]
% multiply(multiply(inverse(A),B),inverse(multiply(C,B))) <->
% multiply(multiply(inverse(A),D),inverse(multiply(C,D))) collapsed.
% Rule
% [184]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(
% multiply(C,B))))
% <-> multiply(c3,inverse(multiply(inverse(C),c3))) collapsed.
% Rule
% [209]
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(inverse(A),c3),inverse(multiply(inverse(B),c3))))
% collapsed.
% Rule
% [214]
% multiply(inverse(B),multiply(B,inverse(multiply(multiply(inverse(multiply(C,
% inverse(C))),D),
% inverse(multiply(A,D)))))) -> A
% collapsed.
% Rule
% [248]
% inverse(multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))))
% <->
% inverse(multiply(multiply(inverse(A),c3),inverse(multiply(inverse(B),c3))))
% collapsed.
% Rule
% [318]
% multiply(multiply(inverse(C),D),inverse(multiply(B,D))) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(A))))) collapsed.
% Rule
% [322]
% 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
% [325]
% multiply(inverse(multiply(inverse(A),B)),multiply(multiply(inverse(A),C),
% inverse(multiply(D,C)))) <->
% inverse(multiply(D,B)) collapsed.
% Rule
% [326]
% multiply(multiply(inverse(A),D),inverse(multiply(inverse(B),D))) <->
% multiply(multiply(inverse(A),c3),inverse(multiply(inverse(B),c3))) collapsed.
% Rule
% [330]
% 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
% [339]
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) <->
% multiply(multiply(inverse(A),c3),inverse(multiply(inverse(B),c3))) collapsed.
% Rule
% [342]
% multiply(multiply(inverse(multiply(inverse(C),multiply(C,B))),D),inverse(
% multiply(A,D)))
% <-> multiply(multiply(c3,inverse(c3)),inverse(multiply(A,B))) collapsed.
% Rule
% [352]
% multiply(multiply(inverse(A),V_4),inverse(multiply(inverse(B),V_4))) <->
% multiply(multiply(inverse(A),c3),inverse(multiply(inverse(B),c3))) collapsed.
% Rule
% [388]
% multiply(A,multiply(multiply(inverse(B),C),inverse(multiply(D,C)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(B),inverse(D))),V_4),
% inverse(multiply(A,V_4)))) collapsed.
% Rule
% [391]
% multiply(multiply(inverse(A),D),inverse(multiply(multiply(inverse(multiply(V_4,
% inverse(V_4))),C),D)))
% <-> multiply(multiply(inverse(A),inverse(multiply(B,C))),B) collapsed.
% Rule
% [417]
% multiply(multiply(inverse(C),D),inverse(multiply(B,D))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) collapsed.
% Rule
% [430]
% multiply(multiply(inverse(A),C),inverse(multiply(inverse(multiply(inverse(D),
% multiply(D,B))),C)))
% -> multiply(inverse(A),B) collapsed.
% Current number of equations to process: 4174
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [455] inverse(multiply(inverse(A),inverse(C))) <-> multiply(C,A)
% Current number of equations to process: 4170
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [456] multiply(C,A) <-> inverse(multiply(inverse(A),inverse(C)))
% Rule
% [126]
% multiply(inverse(multiply(inverse(A),multiply(A,B))),B) ->
% inverse(multiply(c3,inverse(c3))) collapsed.
% Rule
% [353]
% multiply(multiply(inverse(A),multiply(B,multiply(C,inverse(multiply(D,
% inverse(D)))))),
% inverse(C)) -> multiply(inverse(A),inverse(inverse(B))) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% inverse(multiply(inverse(c3),inverse(multiply(a3,b3)))) = multiply(a3,
% multiply(b3,c3))
%
% Current number of equations to process: 4172
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [457]
% multiply(inverse(C),inverse(B)) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))
% Current number of equations to process: 4170
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [458]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) <->
% multiply(inverse(C),inverse(B))
% Current number of equations to process: 4170
% Current number of ordered equations: 0
% Current number of rules: 64
% Rule [434]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(c3),multiply(c3,B)) is composed into [434]
% multiply(inverse(C),
% multiply(C,B)) ->
% B
% Rule [415]
% multiply(inverse(D),multiply(D,C)) <->
% multiply(inverse(c3),multiply(c3,C)) is composed into [415]
% multiply(inverse(D),
% multiply(D,C)) ->
% C
% Rule [294]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(c3),multiply(c3,B)) is composed into [294]
% multiply(inverse(A),
% multiply(A,B)) ->
% B
% Rule [277]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(inverse(c3),multiply(c3,A)),inverse(multiply(B,
% multiply(C,A))))) is composed into
% [277]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(A,inverse(multiply(B,multiply(C,A)))))
% Rule [148]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(c3),multiply(c3,B)) is composed into [148]
% multiply(inverse(C),
% multiply(C,B)) ->
% B
% Rule [146]
% multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(c3),multiply(c3,B)) is composed into [146]
% multiply(inverse(A),
% multiply(A,B)) ->
% B
% Rule [144]
% multiply(inverse(C),multiply(C,B)) <->
% multiply(inverse(c3),multiply(c3,B)) is composed into [144]
% multiply(inverse(C),
% multiply(C,B)) ->
% B
% Rule [59]
% multiply(A,multiply(B,inverse(multiply(C,inverse(C))))) <->
% inverse(multiply(inverse(multiply(inverse(c3),multiply(c3,B))),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) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(multiply(
% inverse(c3),
% multiply(c3,B))),
% inverse(D))))) is composed into
% [53]
% multiply(D,B) <->
% multiply(inverse(A),multiply(A,inverse(multiply(inverse(B),inverse(D)))))
% New rule produced : [459] multiply(inverse(c3),multiply(c3,A)) -> A
% Current number of equations to process: 4169
% Current number of ordered equations: 0
% Current number of rules: 65
% Rule [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% <-> multiply(c3,inverse(multiply(inverse(C),c3))) is composed into
% [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% -> C
% New rule produced : [460] multiply(A,inverse(multiply(inverse(B),A))) -> B
% Current number of equations to process: 4167
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [461]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(A))))) <->
% multiply(inverse(C),inverse(B))
% Current number of equations to process: 4164
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [462]
% multiply(inverse(C),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(A)))))
% Current number of equations to process: 4164
% Current number of ordered equations: 0
% Current number of rules: 68
% Rule [251]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(c3,inverse(c3)),inverse(multiply(B,C)))) is composed into
% [251]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) -> multiply(B,C)
% New rule produced :
% [463] inverse(multiply(multiply(c3,inverse(c3)),inverse(B))) -> B
% Current number of equations to process: 4163
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [464]
% inverse(multiply(D,B)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(D)))
% Current number of equations to process: 4160
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [465]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(D))) <->
% inverse(multiply(D,B))
% Current number of equations to process: 4160
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [466] multiply(c3,multiply(inverse(c3),B)) -> B
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [467] multiply(A,multiply(inverse(A),B)) -> B
% Rule [466] multiply(c3,multiply(inverse(c3),B)) -> B collapsed.
% Current number of equations to process: 4153
% Current number of ordered equations: 0
% Current number of rules: 72
% Rule [457]
% multiply(inverse(C),inverse(B)) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) is composed into
% [457] multiply(inverse(C),inverse(B)) <-> inverse(multiply(B,C))
% Rule [424]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B)),inverse(multiply(
% inverse(A),C))))) is composed into
% [424]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(inverse(multiply(inverse(A),C))))
% Rule [261]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% inverse(multiply(multiply(A,inverse(A)),inverse(C))) is composed into
% [261] multiply(C,inverse(multiply(D,inverse(D)))) -> inverse(inverse(C))
% New rule produced :
% [468] multiply(multiply(B,inverse(B)),inverse(A)) -> inverse(A)
% Rule
% [458]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) <->
% multiply(inverse(C),inverse(B)) collapsed.
% Rule [463] inverse(multiply(multiply(c3,inverse(c3)),inverse(B))) -> B
% collapsed.
% Current number of equations to process: 4151
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [469]
% inverse(multiply(inverse(A),inverse(multiply(B,multiply(multiply(inverse(B),C),
% inverse(A)))))) -> C
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 72
% Rule [421]
% multiply(inverse(B),inverse(multiply(C,inverse(C)))) <->
% multiply(inverse(A),inverse(multiply(B,inverse(A)))) is composed into
% [421] multiply(inverse(B),inverse(multiply(C,inverse(C)))) -> inverse(B)
% New rule produced :
% [470] multiply(inverse(A),inverse(multiply(B,inverse(A)))) -> inverse(B)
% Rule
% [422]
% multiply(inverse(A),inverse(multiply(B,inverse(A)))) <->
% multiply(inverse(B),inverse(multiply(C,inverse(C)))) collapsed.
% Current number of equations to process: 4135
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [471]
% multiply(B,inverse(multiply(C,multiply(D,B)))) <->
% multiply(inverse(D),inverse(C))
% Rule
% [461]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(A))))) <->
% multiply(inverse(C),inverse(B)) collapsed.
% Current number of equations to process: 4126
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [472]
% multiply(inverse(D),inverse(C)) <->
% multiply(B,inverse(multiply(C,multiply(D,B))))
% Rule
% [462]
% multiply(inverse(C),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(A))))) collapsed.
% Current number of equations to process: 4126
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [473]
% inverse(multiply(inverse(B),inverse(multiply(inverse(A),inverse(multiply(B,C))))))
% <->
% multiply(inverse(A),inverse(multiply(inverse(multiply(V_4,inverse(V_4))),C)))
% Current number of equations to process: 4124
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [474]
% multiply(inverse(A),inverse(multiply(inverse(multiply(V_4,inverse(V_4))),C)))
% <->
% inverse(multiply(inverse(B),inverse(multiply(inverse(A),inverse(multiply(B,C))))))
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 74
% Rule [347]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),
% multiply(C,inverse(B))))))) is composed into
% [347]
% multiply(C,inverse(multiply(D,inverse(D)))) <->
% multiply(A,multiply(inverse(A),C))
% New rule produced :
% [475]
% inverse(multiply(inverse(C),inverse(multiply(inverse(A),multiply(B,inverse(C))))))
% -> multiply(inverse(A),B)
% Current number of equations to process: 4121
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [476]
% inverse(multiply(C,inverse(A))) <->
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),C)))
% Current number of equations to process: 4118
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [477]
% multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),C))) <->
% inverse(multiply(C,inverse(A)))
% Current number of equations to process: 4118
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [478]
% multiply(multiply(c3,inverse(c3)),multiply(multiply(A,inverse(A)),B)) -> B
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [479] inverse(multiply(inverse(B),C)) <-> multiply(inverse(C),B)
% Current number of equations to process: 4113
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [480] multiply(inverse(C),B) <-> inverse(multiply(inverse(B),C))
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [481]
% multiply(c3,inverse(multiply(c3,multiply(B,c3)))) -> inverse(multiply(c3,B))
% Current number of equations to process: 4109
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [482]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,multiply(C,B))))))
% -> C
% Current number of equations to process: 4106
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [483]
% inverse(multiply(B,inverse(multiply(C,multiply(multiply(D,inverse(D)),B)))))
% -> C
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [484]
% multiply(c3,inverse(multiply(inverse(c3),inverse(multiply(inverse(c3),
% inverse(multiply(c3,
% inverse(multiply(A,B)))))))))
% -> multiply(A,B)
% Current number of equations to process: 4100
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [485] multiply(A,inverse(multiply(B,A))) -> inverse(B)
% Rule
% [444]
% multiply(A,inverse(multiply(multiply(c3,inverse(c3)),A))) <->
% inverse(multiply(B,inverse(B))) collapsed.
% Rule [460] multiply(A,inverse(multiply(inverse(B),A))) -> B collapsed.
% Rule [470] multiply(inverse(A),inverse(multiply(B,inverse(A)))) -> inverse(B)
% collapsed.
% Current number of equations to process: 4098
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [486] multiply(inverse(multiply(B,inverse(B))),inverse(A)) -> inverse(A)
% Rule [451] inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B))) -> B
% collapsed.
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 82
% Rule [277]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(A,inverse(multiply(B,multiply(C,A))))) is composed into
% [277]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) -> multiply(B,C)
% New rule produced :
% [487]
% inverse(multiply(A,inverse(multiply(B,multiply(C,A))))) -> multiply(B,C)
% Rule
% [469]
% inverse(multiply(inverse(A),inverse(multiply(B,multiply(multiply(inverse(B),C),
% inverse(A)))))) -> C
% collapsed.
% Rule
% [475]
% inverse(multiply(inverse(C),inverse(multiply(inverse(A),multiply(B,inverse(C))))))
% -> multiply(inverse(A),B) collapsed.
% Rule
% [482]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,multiply(C,B))))))
% -> C collapsed.
% Rule
% [483]
% inverse(multiply(B,inverse(multiply(C,multiply(multiply(D,inverse(D)),B)))))
% -> C collapsed.
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [488]
% inverse(multiply(A,inverse(C))) <->
% multiply(C,inverse(multiply(multiply(c3,inverse(c3)),A)))
% Current number of equations to process: 4087
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [489]
% multiply(C,inverse(multiply(multiply(c3,inverse(c3)),A))) <->
% inverse(multiply(A,inverse(C)))
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [490]
% multiply(A,multiply(c3,inverse(multiply(inverse(c3),inverse(multiply(
% inverse(c3),
% inverse(multiply(
% multiply(c3,c3),
% multiply(
% inverse(c3),
% inverse(
% multiply(
% inverse(A),B)))))))))))
% -> B
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [491]
% inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),B)))) <->
% multiply(B,inverse(A))
% Current number of equations to process: 4066
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [492]
% multiply(B,inverse(A)) <->
% inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),B))))
% Current number of equations to process: 4066
% Current number of ordered equations: 0
% Current number of rules: 84
% Rule [492]
% multiply(B,inverse(A)) <->
% inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),B)))) is composed into
% [492] multiply(B,inverse(A)) <-> inverse(multiply(A,inverse(B)))
% Rule [488]
% inverse(multiply(A,inverse(C))) <->
% multiply(C,inverse(multiply(multiply(c3,inverse(c3)),A))) is composed into
% [488] inverse(multiply(A,inverse(C))) <-> multiply(C,inverse(A))
% New rule produced : [493] multiply(multiply(c3,inverse(c3)),A) -> A
% Rule
% [157]
% inverse(multiply(multiply(inverse(A),multiply(A,B)),inverse(multiply(C,
% multiply(
% multiply(c3,
% inverse(c3)),B)))))
% -> C collapsed.
% Rule
% [293]
% multiply(multiply(c3,inverse(c3)),multiply(inverse(A),multiply(A,B))) <->
% multiply(multiply(D,inverse(D)),B) collapsed.
% Rule
% [478]
% multiply(multiply(c3,inverse(c3)),multiply(multiply(A,inverse(A)),B)) -> B
% collapsed.
% Rule
% [489]
% multiply(C,inverse(multiply(multiply(c3,inverse(c3)),A))) <->
% inverse(multiply(A,inverse(C))) collapsed.
% Rule
% [491]
% inverse(multiply(A,inverse(multiply(multiply(c3,inverse(c3)),B)))) <->
% multiply(B,inverse(A)) collapsed.
% Current number of equations to process: 4064
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [494] multiply(multiply(A,inverse(A)),B) -> B
% Rule
% [416]
% multiply(inverse(multiply(A,inverse(A))),multiply(multiply(B,inverse(B)),C))
% <-> multiply(inverse(D),multiply(D,C)) collapsed.
% Rule [468] multiply(multiply(B,inverse(B)),inverse(A)) -> inverse(A)
% collapsed.
% Rule [493] multiply(multiply(c3,inverse(c3)),A) -> A collapsed.
% Current number of equations to process: 4063
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [495]
% multiply(multiply(A,B),multiply(multiply(inverse(B),inverse(A)),inverse(C)))
% -> inverse(C)
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [496]
% multiply(multiply(A,B),multiply(multiply(inverse(B),inverse(A)),C)) -> C
% Rule
% [495]
% multiply(multiply(A,B),multiply(multiply(inverse(B),inverse(A)),inverse(C)))
% -> inverse(C) collapsed.
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [497]
% inverse(multiply(multiply(inverse(C),inverse(B)),inverse(A))) <->
% multiply(A,multiply(B,C))
% Current number of equations to process: 4055
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [498]
% multiply(A,multiply(B,C)) <->
% inverse(multiply(multiply(inverse(C),inverse(B)),inverse(A)))
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [499]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(A),inverse(B)),multiply(B,A))
% Current number of equations to process: 4055
% Current number of ordered equations: 1
% Current number of rules: 82
% Rule [499]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(A),inverse(B)),multiply(B,A)) is composed into
% [499] multiply(C,inverse(C)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [500]
% multiply(multiply(inverse(A),inverse(B)),multiply(B,A)) <->
% multiply(C,inverse(C))
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [501]
% inverse(multiply(inverse(A),multiply(B,C))) <->
% multiply(multiply(inverse(C),inverse(B)),A)
% Current number of equations to process: 4054
% Current number of ordered equations: 3
% Current number of rules: 84
% New rule produced :
% [502]
% inverse(multiply(multiply(A,B),inverse(C))) <->
% multiply(C,multiply(inverse(B),inverse(A)))
% Current number of equations to process: 4054
% Current number of ordered equations: 2
% Current number of rules: 85
% New rule produced :
% [503]
% multiply(C,multiply(inverse(B),inverse(A))) <->
% inverse(multiply(multiply(A,B),inverse(C)))
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [504]
% multiply(multiply(inverse(C),inverse(B)),A) <->
% inverse(multiply(inverse(A),multiply(B,C)))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [505]
% multiply(A,multiply(inverse(multiply(B,A)),inverse(C))) ->
% multiply(inverse(B),inverse(C))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [506]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),inverse(C)))))) <->
% multiply(inverse(C),inverse(B))
% Current number of equations to process: 4053
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [507]
% multiply(inverse(C),inverse(B)) <->
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),inverse(C))))))
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [508]
% inverse(multiply(A,multiply(inverse(multiply(B,A)),C))) <->
% multiply(inverse(C),B)
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [509]
% multiply(inverse(C),B) <->
% inverse(multiply(A,multiply(inverse(multiply(B,A)),C)))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [510]
% inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),
% inverse(C))))))) ->
% multiply(inverse(B),C)
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [511]
% multiply(multiply(A,B),multiply(inverse(B),inverse(A))) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [512]
% inverse(multiply(C,B)) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))
% Rule
% [464]
% inverse(multiply(D,B)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(D)))
% collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [513]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C))) <->
% inverse(multiply(C,B))
% Rule
% [465]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(D))) <->
% inverse(multiply(D,B)) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [514]
% multiply(multiply(A,inverse(B)),multiply(B,inverse(C))) ->
% multiply(A,inverse(C))
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [515]
% multiply(inverse(multiply(A,inverse(B))),inverse(multiply(C,inverse(A)))) ->
% multiply(B,inverse(C))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [516]
% multiply(multiply(A,B),multiply(inverse(B),inverse(C))) ->
% multiply(A,inverse(C))
% Rule
% [490]
% multiply(A,multiply(c3,inverse(multiply(inverse(c3),inverse(multiply(
% inverse(c3),
% inverse(multiply(
% multiply(c3,c3),
% multiply(
% inverse(c3),
% inverse(
% multiply(
% inverse(A),B)))))))))))
% -> B collapsed.
% Rule
% [511]
% multiply(multiply(A,B),multiply(inverse(B),inverse(A))) ->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [517]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(C,A))) ->
% multiply(B,inverse(C))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [518] multiply(multiply(A,inverse(B)),multiply(B,C)) -> multiply(A,C)
% Rule
% [500]
% multiply(multiply(inverse(A),inverse(B)),multiply(B,A)) <->
% multiply(C,inverse(C)) collapsed.
% Rule
% [514]
% multiply(multiply(A,inverse(B)),multiply(B,inverse(C))) ->
% multiply(A,inverse(C)) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [519]
% multiply(multiply(A,inverse(multiply(B,C))),inverse(multiply(D,inverse(B))))
% <-> multiply(A,inverse(multiply(D,C)))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 96
% New rule produced :
% [520]
% multiply(A,inverse(multiply(D,C))) <->
% multiply(multiply(A,inverse(multiply(B,C))),inverse(multiply(D,inverse(B))))
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 97
% New rule produced :
% [521]
% multiply(multiply(A,D),inverse(C)) <->
% multiply(multiply(A,inverse(B)),inverse(multiply(C,inverse(multiply(B,D)))))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [522]
% multiply(multiply(A,inverse(B)),inverse(multiply(C,inverse(multiply(B,D)))))
% <-> multiply(multiply(A,D),inverse(C))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [523]
% inverse(multiply(C,multiply(inverse(B),inverse(A)))) <->
% multiply(multiply(A,B),inverse(C))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 100
% New rule produced :
% [524]
% inverse(multiply(multiply(inverse(C),inverse(B)),A)) <->
% multiply(inverse(A),multiply(B,C))
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 101
% New rule produced :
% [525]
% multiply(inverse(A),multiply(B,C)) <->
% inverse(multiply(multiply(inverse(C),inverse(B)),A))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [526]
% multiply(multiply(A,B),inverse(C)) <->
% inverse(multiply(C,multiply(inverse(B),inverse(A))))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [527]
% multiply(inverse(multiply(A,B)),inverse(multiply(C,inverse(A)))) ->
% multiply(inverse(B),inverse(C))
% Rule
% [515]
% multiply(inverse(multiply(A,inverse(B))),inverse(multiply(C,inverse(A)))) ->
% multiply(B,inverse(C)) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [528]
% multiply(multiply(inverse(A),inverse(B)),multiply(multiply(B,A),C)) -> C
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [529]
% multiply(C,inverse(B)) <->
% multiply(A,inverse(multiply(B,multiply(inverse(C),A))))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [530]
% multiply(A,inverse(multiply(B,multiply(inverse(C),A)))) <->
% multiply(C,inverse(B))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [531]
% inverse(multiply(C,multiply(B,A))) <->
% multiply(inverse(A),multiply(inverse(B),inverse(C)))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [532]
% multiply(inverse(A),multiply(inverse(B),inverse(C))) <->
% inverse(multiply(C,multiply(B,A)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [533]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,inverse(C)))))) <->
% multiply(inverse(C),inverse(B))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [534]
% multiply(inverse(C),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,inverse(C))))))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [535]
% multiply(C,inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,C)))))
% Rule
% [534]
% multiply(inverse(C),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,inverse(C))))))
% collapsed.
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [536]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,C))))) <->
% multiply(C,inverse(B))
% Rule
% [533]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,inverse(C)))))) <->
% multiply(inverse(C),inverse(B)) collapsed.
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [537]
% inverse(multiply(C,multiply(B,inverse(A)))) <->
% multiply(A,multiply(inverse(B),inverse(C)))
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [538]
% multiply(A,multiply(inverse(B),inverse(C))) <->
% inverse(multiply(C,multiply(B,inverse(A))))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [539]
% multiply(inverse(A),B) <->
% multiply(C,inverse(multiply(inverse(B),multiply(A,C))))
% Current number of equations to process: 4055
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [540]
% multiply(C,inverse(multiply(inverse(B),multiply(A,C)))) <->
% multiply(inverse(A),B)
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [541]
% multiply(inverse(multiply(A,B)),inverse(multiply(C,multiply(D,inverse(A)))))
% <-> multiply(inverse(multiply(D,B)),inverse(C))
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [542]
% multiply(inverse(multiply(D,B)),inverse(C)) <->
% multiply(inverse(multiply(A,B)),inverse(multiply(C,multiply(D,inverse(A)))))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [543]
% multiply(D,inverse(C)) <->
% multiply(multiply(inverse(A),inverse(B)),inverse(multiply(C,inverse(multiply(B,
% multiply(A,D))))))
% Current number of equations to process: 4053
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [544]
% multiply(multiply(inverse(A),inverse(B)),inverse(multiply(C,inverse(multiply(B,
% multiply(A,D))))))
% <-> multiply(D,inverse(C))
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [545]
% multiply(inverse(multiply(A,multiply(B,C))),inverse(multiply(D,multiply(
% inverse(B),
% inverse(A)))))
% -> multiply(inverse(C),inverse(D))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 119
% Rule [539]
% multiply(inverse(A),B) <->
% multiply(C,inverse(multiply(inverse(B),multiply(A,C)))) is composed into
% [539] multiply(inverse(A),B) <-> inverse(multiply(inverse(B),A))
% Rule [529]
% multiply(C,inverse(B)) <->
% multiply(A,inverse(multiply(B,multiply(inverse(C),A)))) is composed into
% [529] multiply(C,inverse(B)) <-> inverse(multiply(B,inverse(C)))
% Rule [472]
% multiply(inverse(D),inverse(C)) <->
% multiply(B,inverse(multiply(C,multiply(D,B)))) is composed into
% [472] multiply(inverse(D),inverse(C)) <-> inverse(multiply(C,D))
% New rule produced :
% [546]
% multiply(C,inverse(multiply(A,multiply(B,C)))) -> inverse(multiply(A,B))
% Rule
% [471]
% multiply(B,inverse(multiply(C,multiply(D,B)))) <->
% multiply(inverse(D),inverse(C)) collapsed.
% Rule
% [481]
% multiply(c3,inverse(multiply(c3,multiply(B,c3)))) -> inverse(multiply(c3,B))
% collapsed.
% Rule
% [487]
% inverse(multiply(A,inverse(multiply(B,multiply(C,A))))) -> multiply(B,C)
% collapsed.
% Rule
% [530]
% multiply(A,inverse(multiply(B,multiply(inverse(C),A)))) <->
% multiply(C,inverse(B)) collapsed.
% Rule
% [540]
% multiply(C,inverse(multiply(inverse(B),multiply(A,C)))) <->
% multiply(inverse(A),B) collapsed.
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 115
% Rule [474]
% multiply(inverse(A),inverse(multiply(inverse(multiply(V_4,inverse(V_4))),C)))
% <->
% inverse(multiply(inverse(B),inverse(multiply(inverse(A),inverse(
% multiply(B,C)))))) is composed into
% [474]
% multiply(inverse(A),inverse(multiply(inverse(multiply(V_4,inverse(V_4))),C)))
% -> multiply(inverse(A),inverse(C))
% New rule produced :
% [547]
% inverse(multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,C)))))) ->
% multiply(B,inverse(C))
% Rule
% [473]
% inverse(multiply(inverse(B),inverse(multiply(inverse(A),inverse(multiply(B,C))))))
% <->
% multiply(inverse(A),inverse(multiply(inverse(multiply(V_4,inverse(V_4))),C)))
% collapsed.
% Rule
% [484]
% multiply(c3,inverse(multiply(inverse(c3),inverse(multiply(inverse(c3),
% inverse(multiply(c3,
% inverse(multiply(A,B)))))))))
% -> multiply(A,B) collapsed.
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [548]
% multiply(inverse(C),inverse(multiply(inverse(A),inverse(multiply(C,B))))) ->
% inverse(multiply(inverse(A),inverse(B)))
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [549]
% inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),C))))))
% -> multiply(inverse(B),inverse(C))
% Rule
% [510]
% inverse(multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),
% inverse(C))))))) ->
% multiply(inverse(B),C) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [550]
% multiply(multiply(A,inverse(B)),multiply(multiply(B,inverse(A)),C)) -> C
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [551]
% inverse(multiply(multiply(C,inverse(B)),inverse(A))) <->
% multiply(A,multiply(B,inverse(C)))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [552]
% multiply(A,multiply(B,inverse(C))) <->
% inverse(multiply(multiply(C,inverse(B)),inverse(A)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [553]
% inverse(multiply(A,multiply(B,C))) <->
% multiply(multiply(inverse(C),inverse(B)),inverse(A))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 119
% New rule produced :
% [554]
% inverse(multiply(inverse(A),multiply(B,inverse(C)))) <->
% multiply(multiply(C,inverse(B)),A)
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 120
% New rule produced :
% [555]
% multiply(multiply(C,inverse(B)),A) <->
% inverse(multiply(inverse(A),multiply(B,inverse(C))))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [556]
% multiply(multiply(inverse(C),inverse(B)),inverse(A)) <->
% inverse(multiply(A,multiply(B,C)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [557]
% inverse(multiply(C,multiply(B,inverse(A)))) <->
% multiply(multiply(A,inverse(B)),inverse(C))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 123
% New rule produced :
% [558]
% inverse(multiply(multiply(C,inverse(B)),A)) <->
% multiply(inverse(A),multiply(B,inverse(C)))
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 124
% New rule produced :
% [559]
% multiply(inverse(A),multiply(B,inverse(C))) <->
% inverse(multiply(multiply(C,inverse(B)),A))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [560]
% multiply(multiply(A,inverse(B)),inverse(C)) <->
% inverse(multiply(C,multiply(B,inverse(A))))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [561]
% multiply(multiply(inverse(A),B),multiply(multiply(inverse(B),A),C)) -> C
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [562]
% inverse(multiply(multiply(inverse(C),B),inverse(A))) <->
% multiply(A,multiply(inverse(B),C))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [563]
% multiply(A,multiply(inverse(B),C)) <->
% inverse(multiply(multiply(inverse(C),B),inverse(A)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [564]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(A),B),multiply(inverse(B),A))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 130
% Rule [564]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(A),B),multiply(inverse(B),A)) is composed into
% [564] multiply(C,inverse(C)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [565]
% multiply(multiply(inverse(A),B),multiply(inverse(B),A)) <->
% multiply(C,inverse(C))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [566]
% inverse(multiply(multiply(A,B),C)) <->
% multiply(inverse(C),multiply(inverse(B),inverse(A)))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 132
% New rule produced :
% [567]
% inverse(multiply(inverse(A),multiply(inverse(B),C))) <->
% multiply(multiply(inverse(C),B),A)
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 133
% New rule produced :
% [568]
% multiply(inverse(C),multiply(inverse(B),inverse(A))) <->
% inverse(multiply(multiply(A,B),C))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [569]
% multiply(multiply(inverse(C),B),A) <->
% inverse(multiply(inverse(A),multiply(inverse(B),C)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [570] multiply(multiply(A,B),multiply(inverse(B),C)) -> multiply(A,C)
% Rule
% [516]
% multiply(multiply(A,B),multiply(inverse(B),inverse(C))) ->
% multiply(A,inverse(C)) collapsed.
% Rule
% [565]
% multiply(multiply(inverse(A),B),multiply(inverse(B),A)) <->
% multiply(C,inverse(C)) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [571]
% inverse(multiply(C,multiply(inverse(B),A))) <->
% multiply(multiply(inverse(A),B),inverse(C))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 135
% New rule produced :
% [572]
% inverse(multiply(multiply(inverse(C),B),A)) <->
% multiply(inverse(A),multiply(inverse(B),C))
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 136
% New rule produced :
% [573]
% multiply(inverse(A),multiply(inverse(B),C)) <->
% inverse(multiply(multiply(inverse(C),B),A))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [574]
% multiply(multiply(inverse(A),B),inverse(C)) <->
% inverse(multiply(C,multiply(inverse(B),A)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [575]
% inverse(multiply(inverse(C),multiply(inverse(B),inverse(A)))) <->
% multiply(multiply(A,B),C)
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [576]
% multiply(multiply(A,B),C) <->
% inverse(multiply(inverse(C),multiply(inverse(B),inverse(A))))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [577]
% multiply(inverse(multiply(inverse(A),B)),inverse(multiply(C,A))) ->
% multiply(inverse(B),inverse(C))
% Rule
% [517]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(C,A))) ->
% multiply(B,inverse(C)) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [578]
% inverse(multiply(inverse(A),multiply(multiply(A,B),inverse(C)))) <->
% multiply(C,inverse(B))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [579]
% multiply(C,inverse(B)) <->
% inverse(multiply(inverse(A),multiply(multiply(A,B),inverse(C))))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [580]
% multiply(multiply(A,B),inverse(multiply(C,inverse(multiply(inverse(B),
% inverse(A)))))) ->
% inverse(C)
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [581]
% inverse(multiply(inverse(multiply(inverse(A),inverse(B))),inverse(C))) <->
% multiply(C,inverse(multiply(B,A)))
% Current number of equations to process: 4056
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [582]
% multiply(C,inverse(multiply(B,A))) <->
% inverse(multiply(inverse(multiply(inverse(A),inverse(B))),inverse(C)))
% Current number of equations to process: 4056
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [583]
% inverse(multiply(D,multiply(multiply(inverse(C),inverse(B)),inverse(A)))) <->
% multiply(multiply(A,multiply(B,C)),inverse(D))
% Current number of equations to process: 4067
% Current number of ordered equations: 3
% Current number of rules: 146
% New rule produced :
% [584]
% inverse(multiply(multiply(multiply(inverse(D),inverse(C)),inverse(B)),A)) <->
% multiply(inverse(A),multiply(B,multiply(C,D)))
% Current number of equations to process: 4067
% Current number of ordered equations: 2
% Current number of rules: 147
% New rule produced :
% [585]
% multiply(inverse(A),multiply(B,multiply(C,D))) <->
% inverse(multiply(multiply(multiply(inverse(D),inverse(C)),inverse(B)),A))
% Current number of equations to process: 4067
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [586]
% multiply(multiply(A,multiply(B,C)),inverse(D)) <->
% inverse(multiply(D,multiply(multiply(inverse(C),inverse(B)),inverse(A))))
% Current number of equations to process: 4067
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [587]
% inverse(multiply(multiply(multiply(inverse(D),inverse(C)),inverse(B)),
% inverse(A))) <-> multiply(A,multiply(B,multiply(C,D)))
% Current number of equations to process: 4066
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [588]
% multiply(A,multiply(B,multiply(C,D))) <->
% inverse(multiply(multiply(multiply(inverse(D),inverse(C)),inverse(B)),
% inverse(A)))
% Current number of equations to process: 4066
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [589]
% inverse(multiply(inverse(A),multiply(B,multiply(C,D)))) <->
% multiply(multiply(multiply(inverse(D),inverse(C)),inverse(B)),A)
% Current number of equations to process: 4068
% Current number of ordered equations: 9
% Current number of rules: 152
% New rule produced :
% [590]
% inverse(multiply(multiply(A,multiply(B,C)),inverse(D))) <->
% multiply(D,multiply(multiply(inverse(C),inverse(B)),inverse(A)))
% Current number of equations to process: 4068
% Current number of ordered equations: 8
% Current number of rules: 153
% New rule produced :
% [591]
% inverse(multiply(multiply(inverse(A),inverse(B)),multiply(C,D))) <->
% multiply(multiply(inverse(D),inverse(C)),multiply(B,A))
% Current number of equations to process: 4068
% Current number of ordered equations: 7
% Current number of rules: 154
% New rule produced :
% [592]
% inverse(multiply(multiply(multiply(A,B),inverse(C)),inverse(D))) <->
% multiply(D,multiply(C,multiply(inverse(B),inverse(A))))
% Current number of equations to process: 4068
% Current number of ordered equations: 6
% Current number of rules: 155
% New rule produced :
% [593]
% inverse(multiply(multiply(inverse(A),multiply(B,C)),inverse(D))) <->
% multiply(D,multiply(multiply(inverse(C),inverse(B)),A))
% Current number of equations to process: 4068
% Current number of ordered equations: 5
% Current number of rules: 156
% New rule produced :
% [594]
% multiply(D,multiply(C,multiply(inverse(B),inverse(A)))) <->
% inverse(multiply(multiply(multiply(A,B),inverse(C)),inverse(D)))
% Current number of equations to process: 4068
% Current number of ordered equations: 4
% Current number of rules: 157
% New rule produced :
% [595]
% multiply(D,multiply(multiply(inverse(C),inverse(B)),inverse(A))) <->
% inverse(multiply(multiply(A,multiply(B,C)),inverse(D)))
% Current number of equations to process: 4068
% Current number of ordered equations: 3
% Current number of rules: 158
% New rule produced :
% [596]
% multiply(D,multiply(multiply(inverse(C),inverse(B)),A)) <->
% inverse(multiply(multiply(inverse(A),multiply(B,C)),inverse(D)))
% Current number of equations to process: 4068
% Current number of ordered equations: 2
% Current number of rules: 159
% New rule produced :
% [597]
% multiply(multiply(inverse(D),inverse(C)),multiply(B,A)) <->
% inverse(multiply(multiply(inverse(A),inverse(B)),multiply(C,D)))
% Current number of equations to process: 4068
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [598]
% multiply(multiply(multiply(inverse(D),inverse(C)),inverse(B)),A) <->
% inverse(multiply(inverse(A),multiply(B,multiply(C,D))))
% Current number of equations to process: 4068
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [599]
% inverse(multiply(A,multiply(B,multiply(C,D)))) <->
% multiply(multiply(multiply(inverse(D),inverse(C)),inverse(B)),inverse(A))
% Current number of equations to process: 4082
% Current number of ordered equations: 7
% Current number of rules: 162
% New rule produced :
% [600]
% inverse(multiply(multiply(multiply(A,inverse(B)),inverse(C)),inverse(D))) <->
% multiply(D,multiply(C,multiply(B,inverse(A))))
% Current number of equations to process: 4082
% Current number of ordered equations: 6
% Current number of rules: 163
% New rule produced :
% [601]
% inverse(multiply(multiply(inverse(A),multiply(B,inverse(C))),inverse(D))) <->
% multiply(D,multiply(multiply(C,inverse(B)),A))
% Current number of equations to process: 4082
% Current number of ordered equations: 5
% Current number of rules: 164
% New rule produced :
% [602]
% inverse(multiply(multiply(inverse(A),inverse(B)),multiply(C,inverse(D)))) <->
% multiply(multiply(D,inverse(C)),multiply(B,A))
% Current number of equations to process: 4082
% Current number of ordered equations: 4
% Current number of rules: 165
% New rule produced :
% [603]
% multiply(multiply(D,inverse(C)),multiply(B,A)) <->
% inverse(multiply(multiply(inverse(A),inverse(B)),multiply(C,inverse(D))))
% Current number of equations to process: 4082
% Current number of ordered equations: 3
% Current number of rules: 166
% New rule produced :
% [604]
% multiply(D,multiply(C,multiply(B,inverse(A)))) <->
% inverse(multiply(multiply(multiply(A,inverse(B)),inverse(C)),inverse(D)))
% Current number of equations to process: 4082
% Current number of ordered equations: 2
% Current number of rules: 167
% New rule produced :
% [605]
% multiply(D,multiply(multiply(C,inverse(B)),A)) <->
% inverse(multiply(multiply(inverse(A),multiply(B,inverse(C))),inverse(D)))
% Current number of equations to process: 4082
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [606]
% multiply(multiply(multiply(inverse(D),inverse(C)),inverse(B)),inverse(A)) <->
% inverse(multiply(A,multiply(B,multiply(C,D))))
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [607]
% inverse(multiply(multiply(multiply(inverse(A),B),inverse(C)),inverse(D))) <->
% multiply(D,multiply(C,multiply(inverse(B),A)))
% Current number of equations to process: 4078
% Current number of ordered equations: 7
% Current number of rules: 170
% New rule produced :
% [608]
% inverse(multiply(multiply(inverse(A),multiply(inverse(B),C)),inverse(D))) <->
% multiply(D,multiply(multiply(inverse(C),B),A))
% Current number of equations to process: 4078
% Current number of ordered equations: 6
% Current number of rules: 171
% New rule produced :
% [609]
% inverse(multiply(multiply(inverse(A),inverse(B)),multiply(inverse(C),D))) <->
% multiply(multiply(inverse(D),C),multiply(B,A))
% Current number of equations to process: 4078
% Current number of ordered equations: 5
% Current number of rules: 172
% New rule produced :
% [610]
% inverse(multiply(multiply(A,multiply(B,C)),D)) <->
% multiply(inverse(D),multiply(multiply(inverse(C),inverse(B)),inverse(A)))
% Current number of equations to process: 4078
% Current number of ordered equations: 4
% Current number of rules: 173
% New rule produced :
% [611]
% multiply(D,multiply(C,multiply(inverse(B),A))) <->
% inverse(multiply(multiply(multiply(inverse(A),B),inverse(C)),inverse(D)))
% Current number of equations to process: 4078
% Current number of ordered equations: 3
% Current number of rules: 174
% New rule produced :
% [612]
% multiply(D,multiply(multiply(inverse(C),B),A)) <->
% inverse(multiply(multiply(inverse(A),multiply(inverse(B),C)),inverse(D)))
% Current number of equations to process: 4078
% Current number of ordered equations: 2
% Current number of rules: 175
% New rule produced :
% [613]
% multiply(inverse(D),multiply(multiply(inverse(C),inverse(B)),inverse(A))) <->
% inverse(multiply(multiply(A,multiply(B,C)),D))
% Current number of equations to process: 4078
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [614]
% multiply(multiply(inverse(D),C),multiply(B,A)) <->
% inverse(multiply(multiply(inverse(A),inverse(B)),multiply(inverse(C),D)))
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [615]
% inverse(multiply(inverse(D),multiply(multiply(inverse(C),inverse(B)),
% inverse(A)))) <->
% multiply(multiply(A,multiply(B,C)),D)
% Current number of equations to process: 4073
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [616]
% multiply(multiply(A,multiply(B,C)),D) <->
% inverse(multiply(inverse(D),multiply(multiply(inverse(C),inverse(B)),
% inverse(A))))
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [617]
% multiply(multiply(A,multiply(B,C)),multiply(multiply(inverse(C),inverse(B)),
% inverse(A))) -> multiply(c3,inverse(c3))
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [618]
% multiply(multiply(A,multiply(B,C)),multiply(multiply(inverse(C),inverse(B)),
% inverse(D))) -> multiply(A,inverse(D))
% Rule
% [617]
% multiply(multiply(A,multiply(B,C)),multiply(multiply(inverse(C),inverse(B)),
% inverse(A))) -> multiply(c3,inverse(c3))
% collapsed.
% Current number of equations to process: 4074
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [619]
% inverse(multiply(D,multiply(inverse(C),multiply(B,A)))) <->
% multiply(multiply(multiply(inverse(A),inverse(B)),C),inverse(D))
% Current number of equations to process: 4075
% Current number of ordered equations: 3
% Current number of rules: 181
% New rule produced :
% [620]
% inverse(multiply(multiply(inverse(D),multiply(C,B)),A)) <->
% multiply(inverse(A),multiply(multiply(inverse(B),inverse(C)),D))
% Current number of equations to process: 4075
% Current number of ordered equations: 2
% Current number of rules: 182
% New rule produced :
% [621]
% multiply(inverse(A),multiply(multiply(inverse(B),inverse(C)),D)) <->
% inverse(multiply(multiply(inverse(D),multiply(C,B)),A))
% Current number of equations to process: 4075
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [622]
% multiply(multiply(multiply(inverse(A),inverse(B)),C),inverse(D)) <->
% inverse(multiply(D,multiply(inverse(C),multiply(B,A))))
% Current number of equations to process: 4075
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [623]
% inverse(multiply(multiply(multiply(inverse(A),inverse(B)),C),inverse(D))) <->
% multiply(D,multiply(inverse(C),multiply(B,A)))
% Current number of equations to process: 4078
% Current number of ordered equations: 5
% Current number of rules: 185
% New rule produced :
% [624]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),inverse(C)),D))) <->
% multiply(multiply(inverse(D),multiply(C,B)),A)
% Current number of equations to process: 4078
% Current number of ordered equations: 4
% Current number of rules: 186
% New rule produced :
% [625]
% inverse(multiply(multiply(A,B),multiply(C,D))) <->
% multiply(multiply(inverse(D),inverse(C)),multiply(inverse(B),inverse(A)))
% Current number of equations to process: 4078
% Current number of ordered equations: 3
% Current number of rules: 187
% New rule produced :
% [626]
% multiply(D,multiply(inverse(C),multiply(B,A))) <->
% inverse(multiply(multiply(multiply(inverse(A),inverse(B)),C),inverse(D)))
% Current number of equations to process: 4078
% Current number of ordered equations: 2
% Current number of rules: 188
% New rule produced :
% [627]
% multiply(multiply(inverse(D),multiply(C,B)),A) <->
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),inverse(C)),D)))
% Current number of equations to process: 4078
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [628]
% multiply(multiply(inverse(D),inverse(C)),multiply(inverse(B),inverse(A))) <->
% inverse(multiply(multiply(A,B),multiply(C,D)))
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [629]
% multiply(multiply(A,multiply(B,C)),multiply(multiply(inverse(C),inverse(B)),D))
% -> multiply(A,D)
% Rule
% [618]
% multiply(multiply(A,multiply(B,C)),multiply(multiply(inverse(C),inverse(B)),
% inverse(D))) -> multiply(A,inverse(D))
% collapsed.
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [630]
% inverse(multiply(A,multiply(multiply(inverse(B),inverse(C)),D))) <->
% multiply(multiply(inverse(D),multiply(C,B)),inverse(A))
% Current number of equations to process: 4093
% Current number of ordered equations: 3
% Current number of rules: 191
% New rule produced :
% [631]
% inverse(multiply(multiply(A,inverse(B)),multiply(C,D))) <->
% multiply(multiply(inverse(D),inverse(C)),multiply(B,inverse(A)))
% Current number of equations to process: 4093
% Current number of ordered equations: 2
% Current number of rules: 192
% New rule produced :
% [632]
% multiply(multiply(inverse(D),multiply(C,B)),inverse(A)) <->
% inverse(multiply(A,multiply(multiply(inverse(B),inverse(C)),D)))
% Current number of equations to process: 4093
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [633]
% multiply(multiply(inverse(D),inverse(C)),multiply(B,inverse(A))) <->
% inverse(multiply(multiply(A,inverse(B)),multiply(C,D)))
% Current number of equations to process: 4093
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [634]
% inverse(multiply(multiply(inverse(A),B),multiply(C,D))) <->
% multiply(multiply(inverse(D),inverse(C)),multiply(inverse(B),A))
% Current number of equations to process: 4091
% Current number of ordered equations: 3
% Current number of rules: 195
% New rule produced :
% [635]
% inverse(multiply(multiply(multiply(inverse(A),inverse(B)),C),D)) <->
% multiply(inverse(D),multiply(inverse(C),multiply(B,A)))
% Current number of equations to process: 4091
% Current number of ordered equations: 2
% Current number of rules: 196
% New rule produced :
% [636]
% multiply(inverse(D),multiply(inverse(C),multiply(B,A))) <->
% inverse(multiply(multiply(multiply(inverse(A),inverse(B)),C),D))
% Current number of equations to process: 4091
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [637]
% multiply(multiply(inverse(D),inverse(C)),multiply(inverse(B),A)) <->
% inverse(multiply(multiply(inverse(A),B),multiply(C,D)))
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [638]
% inverse(multiply(inverse(D),multiply(inverse(C),multiply(B,A)))) <->
% multiply(multiply(multiply(inverse(A),inverse(B)),C),D)
% Current number of equations to process: 4090
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [639]
% multiply(multiply(multiply(inverse(A),inverse(B)),C),D) <->
% inverse(multiply(inverse(D),multiply(inverse(C),multiply(B,A))))
% Current number of equations to process: 4090
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [640]
% inverse(multiply(D,multiply(multiply(C,B),inverse(A)))) <->
% multiply(multiply(A,multiply(inverse(B),inverse(C))),inverse(D))
% Current number of equations to process: 4089
% Current number of ordered equations: 3
% Current number of rules: 201
% New rule produced :
% [641]
% inverse(multiply(multiply(multiply(D,C),inverse(B)),A)) <->
% multiply(inverse(A),multiply(B,multiply(inverse(C),inverse(D))))
% Current number of equations to process: 4089
% Current number of ordered equations: 2
% Current number of rules: 202
% New rule produced :
% [642]
% multiply(inverse(A),multiply(B,multiply(inverse(C),inverse(D)))) <->
% inverse(multiply(multiply(multiply(D,C),inverse(B)),A))
% Current number of equations to process: 4089
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [643]
% multiply(multiply(A,multiply(inverse(B),inverse(C))),inverse(D)) <->
% inverse(multiply(D,multiply(multiply(C,B),inverse(A))))
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [644]
% inverse(multiply(multiply(A,multiply(inverse(B),inverse(C))),inverse(D))) <->
% multiply(D,multiply(multiply(C,B),inverse(A)))
% Current number of equations to process: 4091
% Current number of ordered equations: 3
% Current number of rules: 205
% New rule produced :
% [645]
% inverse(multiply(inverse(A),multiply(B,multiply(inverse(C),inverse(D))))) <->
% multiply(multiply(multiply(D,C),inverse(B)),A)
% Current number of equations to process: 4091
% Current number of ordered equations: 2
% Current number of rules: 206
% New rule produced :
% [646]
% multiply(D,multiply(multiply(C,B),inverse(A))) <->
% inverse(multiply(multiply(A,multiply(inverse(B),inverse(C))),inverse(D)))
% Current number of equations to process: 4091
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [647]
% multiply(multiply(multiply(D,C),inverse(B)),A) <->
% inverse(multiply(inverse(A),multiply(B,multiply(inverse(C),inverse(D)))))
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [648]
% inverse(multiply(A,multiply(B,multiply(inverse(C),inverse(D))))) <->
% multiply(multiply(multiply(D,C),inverse(B)),inverse(A))
% Current number of equations to process: 4108
% Current number of ordered equations: 3
% Current number of rules: 209
% New rule produced :
% [649]
% inverse(multiply(multiply(A,B),multiply(C,inverse(D)))) <->
% multiply(multiply(D,inverse(C)),multiply(inverse(B),inverse(A)))
% Current number of equations to process: 4108
% Current number of ordered equations: 2
% Current number of rules: 210
% New rule produced :
% [650]
% multiply(multiply(D,inverse(C)),multiply(inverse(B),inverse(A))) <->
% inverse(multiply(multiply(A,B),multiply(C,inverse(D))))
% Current number of equations to process: 4108
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [651]
% multiply(multiply(multiply(D,C),inverse(B)),inverse(A)) <->
% inverse(multiply(A,multiply(B,multiply(inverse(C),inverse(D)))))
% Current number of equations to process: 4108
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [652]
% inverse(multiply(multiply(A,B),multiply(inverse(C),D))) <->
% multiply(multiply(inverse(D),C),multiply(inverse(B),inverse(A)))
% Current number of equations to process: 4106
% Current number of ordered equations: 3
% Current number of rules: 213
% New rule produced :
% [653]
% inverse(multiply(multiply(A,multiply(inverse(B),inverse(C))),D)) <->
% multiply(inverse(D),multiply(multiply(C,B),inverse(A)))
% Current number of equations to process: 4106
% Current number of ordered equations: 2
% Current number of rules: 214
% New rule produced :
% [654]
% multiply(inverse(D),multiply(multiply(C,B),inverse(A))) <->
% inverse(multiply(multiply(A,multiply(inverse(B),inverse(C))),D))
% Current number of equations to process: 4106
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [655]
% multiply(multiply(inverse(D),C),multiply(inverse(B),inverse(A))) <->
% inverse(multiply(multiply(A,B),multiply(inverse(C),D)))
% Current number of equations to process: 4106
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [656]
% inverse(multiply(inverse(D),multiply(multiply(C,B),inverse(A)))) <->
% multiply(multiply(A,multiply(inverse(B),inverse(C))),D)
% Current number of equations to process: 4105
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [657]
% multiply(multiply(A,multiply(inverse(B),inverse(C))),D) <->
% inverse(multiply(inverse(D),multiply(multiply(C,B),inverse(A))))
% Current number of equations to process: 4105
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [658]
% inverse(multiply(multiply(D,multiply(C,inverse(B))),inverse(A))) <->
% multiply(A,multiply(multiply(B,inverse(C)),inverse(D)))
% Current number of equations to process: 4119
% Current number of ordered equations: 3
% Current number of rules: 219
% New rule produced :
% [659]
% inverse(multiply(multiply(multiply(D,inverse(C)),B),inverse(A))) <->
% multiply(A,multiply(inverse(B),multiply(C,inverse(D))))
% Current number of equations to process: 4119
% Current number of ordered equations: 2
% Current number of rules: 220
% New rule produced :
% [660]
% multiply(A,multiply(multiply(B,inverse(C)),inverse(D))) <->
% inverse(multiply(multiply(D,multiply(C,inverse(B))),inverse(A)))
% Current number of equations to process: 4119
% Current number of ordered equations: 1
% Current number of rules: 221
% New rule produced :
% [661]
% multiply(A,multiply(inverse(B),multiply(C,inverse(D)))) <->
% inverse(multiply(multiply(multiply(D,inverse(C)),B),inverse(A)))
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [662]
% inverse(multiply(multiply(D,multiply(inverse(C),B)),inverse(A))) <->
% multiply(A,multiply(multiply(inverse(B),C),inverse(D)))
% Current number of equations to process: 4117
% Current number of ordered equations: 3
% Current number of rules: 223
% New rule produced :
% [663]
% inverse(multiply(multiply(multiply(inverse(D),C),B),inverse(A))) <->
% multiply(A,multiply(inverse(B),multiply(inverse(C),D)))
% Current number of equations to process: 4117
% Current number of ordered equations: 2
% Current number of rules: 224
% New rule produced :
% [664]
% multiply(A,multiply(multiply(inverse(B),C),inverse(D))) <->
% inverse(multiply(multiply(D,multiply(inverse(C),B)),inverse(A)))
% Current number of equations to process: 4117
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [665]
% multiply(A,multiply(inverse(B),multiply(inverse(C),D))) <->
% inverse(multiply(multiply(multiply(inverse(D),C),B),inverse(A)))
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [666]
% multiply(inverse(multiply(B,C)),multiply(inverse(multiply(inverse(C),
% inverse(B))),A)) -> A
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [667]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(inverse(C),
% multiply(B,A)))) ->
% C
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [668]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(C,
% multiply(B,A)))) ->
% inverse(C)
% Rule
% [667]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(inverse(C),
% multiply(B,A)))) ->
% C collapsed.
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [669]
% inverse(multiply(inverse(D),multiply(C,multiply(B,inverse(A))))) <->
% multiply(multiply(multiply(A,inverse(B)),inverse(C)),D)
% Current number of equations to process: 4129
% Current number of ordered equations: 3
% Current number of rules: 229
% New rule produced :
% [670]
% inverse(multiply(inverse(D),multiply(multiply(C,inverse(B)),A))) <->
% multiply(multiply(inverse(A),multiply(B,inverse(C))),D)
% Current number of equations to process: 4129
% Current number of ordered equations: 2
% Current number of rules: 230
% New rule produced :
% [671]
% multiply(multiply(inverse(A),multiply(B,inverse(C))),D) <->
% inverse(multiply(inverse(D),multiply(multiply(C,inverse(B)),A)))
% Current number of equations to process: 4129
% Current number of ordered equations: 1
% Current number of rules: 231
% New rule produced :
% [672]
% multiply(multiply(multiply(A,inverse(B)),inverse(C)),D) <->
% inverse(multiply(inverse(D),multiply(C,multiply(B,inverse(A)))))
% Current number of equations to process: 4129
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [673]
% inverse(multiply(inverse(D),multiply(C,multiply(inverse(B),A)))) <->
% multiply(multiply(multiply(inverse(A),B),inverse(C)),D)
% Current number of equations to process: 4127
% Current number of ordered equations: 3
% Current number of rules: 233
% New rule produced :
% [674]
% inverse(multiply(inverse(D),multiply(multiply(inverse(C),B),A))) <->
% multiply(multiply(inverse(A),multiply(inverse(B),C)),D)
% Current number of equations to process: 4127
% Current number of ordered equations: 2
% Current number of rules: 234
% New rule produced :
% [675]
% multiply(multiply(multiply(inverse(A),B),inverse(C)),D) <->
% inverse(multiply(inverse(D),multiply(C,multiply(inverse(B),A))))
% Current number of equations to process: 4127
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [676]
% multiply(multiply(inverse(A),multiply(inverse(B),C)),D) <->
% inverse(multiply(inverse(D),multiply(multiply(inverse(C),B),A)))
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [677]
% multiply(inverse(A),multiply(multiply(A,inverse(B)),inverse(C))) ->
% multiply(inverse(B),inverse(C))
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 237
% Rule [509]
% multiply(inverse(C),B) <->
% inverse(multiply(A,multiply(inverse(multiply(B,A)),C))) is composed into
% [509] multiply(inverse(C),B) <-> inverse(multiply(inverse(B),C))
% New rule produced :
% [678]
% multiply(A,multiply(inverse(multiply(B,A)),C)) -> multiply(inverse(B),C)
% Rule
% [505]
% multiply(A,multiply(inverse(multiply(B,A)),inverse(C))) ->
% multiply(inverse(B),inverse(C)) collapsed.
% Rule
% [508]
% inverse(multiply(A,multiply(inverse(multiply(B,A)),C))) <->
% multiply(inverse(C),B) collapsed.
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 236
% Rule [582]
% multiply(C,inverse(multiply(B,A))) <->
% inverse(multiply(inverse(multiply(inverse(A),inverse(B))),inverse(C))) is composed into
% [582]
% multiply(C,inverse(multiply(B,A))) <->
% inverse(multiply(B,multiply(inverse(inverse(A)),inverse(C))))
% New rule produced :
% [679]
% multiply(inverse(multiply(B,inverse(A))),inverse(C)) ->
% multiply(A,multiply(inverse(B),inverse(C)))
% Rule [486] multiply(inverse(multiply(B,inverse(B))),inverse(A)) -> inverse(A)
% collapsed.
% Rule
% [581]
% inverse(multiply(inverse(multiply(inverse(A),inverse(B))),inverse(C))) <->
% multiply(C,inverse(multiply(B,A))) collapsed.
% Rule
% [668]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(C,
% multiply(B,A)))) ->
% inverse(C) collapsed.
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [680]
% multiply(inverse(multiply(A,c3)),inverse(B)) ->
% multiply(inverse(c3),multiply(inverse(A),inverse(B)))
% Current number of equations to process: 4126
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [681]
% inverse(multiply(B,multiply(A,inverse(C)))) <->
% multiply(C,inverse(multiply(B,A)))
% Current number of equations to process: 4125
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [682]
% multiply(C,inverse(multiply(B,A))) <->
% inverse(multiply(B,multiply(A,inverse(C))))
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 237
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 43 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(c3),C)),c3),
% inverse(multiply(c3,c3))))); 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(c3,inverse(multiply(multiply(
% inverse(C),c3),
% inverse(multiply(
% inverse(c3),c3)))))))
% -> C; trace = Cp of 2 and 1
% [10] multiply(A,inverse(multiply(multiply(inverse(A),C),inverse(multiply(
% inverse(A),C)))))
% <->
% multiply(c3,inverse(multiply(multiply(inverse(A),c3),inverse(multiply(
% inverse(c3),c3))))); trace = Cp of 3 and 1
% [11] multiply(c3,inverse(multiply(multiply(inverse(A),c3),inverse(multiply(
% inverse(c3),c3)))))
% <->
% 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(c3,inverse(multiply(multiply(inverse(A),c3),inverse(multiply(
% inverse(c3),c3))))); 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(c3,inverse(multiply(multiply(inverse(C),c3),
% inverse(multiply(inverse(c3),c3)))))) <->
% 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(c3,multiply(B,inverse(multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(B),D))))))))
% -> multiply(inverse(inverse(c3)),C); trace = Cp of 9 and 7
% [19] multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(c3),multiply(c3,B)); trace = Cp of 18 and 8
% [20] multiply(inverse(inverse(c3)),multiply(inverse(c3),B)) <->
% multiply(inverse(A),multiply(A,B)); trace = Cp of 18 and 8
% [23] multiply(inverse(c3),multiply(c3,multiply(A,multiply(B,inverse(multiply(C,
% inverse(C)))))))
% <-> multiply(inverse(inverse(A)),B); trace = Cp of 19 and 14
% [27] multiply(inverse(B),multiply(B,multiply(inverse(c3),inverse(multiply(
% multiply(
% inverse(A),A),
% inverse(
% multiply(
% inverse(
% inverse(c3)),A)))))))
% -> A; trace = Cp of 20 and 17
% [34] multiply(inverse(A),multiply(c3,inverse(multiply(multiply(inverse(A),c3),
% inverse(multiply(inverse(c3),c3))))))
% <-> multiply(inverse(c3),multiply(c3,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(c3),multiply(c3,inverse(multiply(C,inverse(C))))); trace = Cp of 34 and 11
% [40] multiply(inverse(A),multiply(A,inverse(multiply(B,inverse(B))))) <->
% multiply(inverse(c3),multiply(c3,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(c3),multiply(c3,A))),B),
% inverse(multiply(C,B)))); trace = Cp of 19 and 7
% [52] multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(
% multiply(
% inverse(c3),
% multiply(c3,B))),C),
% inverse(multiply(D,C)))))) <->
% multiply(D,B); trace = Cp of 50 and 27
% [53] multiply(D,B) <->
% multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(
% multiply(
% inverse(c3),
% multiply(c3,B))),C),
% inverse(multiply(D,C)))))); trace = Cp of 50 and 27
% [64] inverse(multiply(c3,inverse(c3))) <-> inverse(multiply(A,inverse(A))); trace = Cp of 50 and 40
% [67] 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))))); trace = Cp of 52 and 14
% [72] 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
% [73] multiply(inverse(A),multiply(A,B)) <->
% multiply(inverse(C),multiply(C,B)); trace = Cp of 53 and 20
% [75] multiply(inverse(C),multiply(C,multiply(A,multiply(B,inverse(multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(A)),B); trace = Cp of 53 and 23
% [84] 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); trace = Cp of 53 and 52
% [109] multiply(inverse(A),multiply(A,inverse(multiply(multiply(inverse(B),
% inverse(C)),inverse(
% multiply(c3,
% inverse(c3)))))))
% <-> multiply(C,multiply(B,inverse(multiply(D,inverse(D))))); trace = Cp of 67 and 12
% [111] inverse(multiply(multiply(inverse(A),B),inverse(multiply(C,B)))) <->
% inverse(multiply(multiply(inverse(A),D),inverse(multiply(C,D)))); trace = Cp of 72 and 7
% [112] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3)); trace = Cp of 72 and 64
% [113] multiply(c3,inverse(c3)) <-> multiply(A,inverse(A)); trace = Cp of 72 and 64
% [168] multiply(multiply(inverse(A),B),inverse(multiply(C,B))) <->
% multiply(multiply(inverse(A),D),inverse(multiply(C,D))); trace = Cp of 111 and 72
% [180] multiply(inverse(inverse(B)),multiply(C,inverse(C))) <->
% multiply(inverse(A),multiply(A,inverse(inverse(B)))); trace = Cp of 112 and 75
% [192] multiply(D,B) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(A),
% multiply(A,B))),C),
% inverse(multiply(D,C)))))); trace = Cp of 112 and 84
% [252] inverse(multiply(inverse(B),inverse(C))) <->
% multiply(C,multiply(B,inverse(multiply(V_4,inverse(V_4))))); trace = Cp of 113 and 109
% [454] multiply(multiply(A,D),inverse(multiply(B,D))) ->
% multiply(A,inverse(B)); trace = Cp of 180 and 168
% [456] multiply(C,A) <-> inverse(multiply(inverse(A),inverse(C))); trace = Cp of 192 and 75
% [496] multiply(multiply(A,B),multiply(multiply(inverse(B),inverse(A)),C)) ->
% C; trace = Cp of 252 and 73
% [682] multiply(C,inverse(multiply(B,A))) <->
% inverse(multiply(B,multiply(A,inverse(C)))); trace = Cp of 496 and 454
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 97.010000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------