TSTP Solution File: GRP432-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP432-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n169.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 00:23:05 EDT 2014
% Result : Unsatisfiable 5.36s
% Output : Refutation 5.36s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP432-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n169.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 13:18:18 CDT 2014
% % CPUTime : 5.36
% Processing problem /tmp/CiME_18402_n169.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(B,multiply(multiply(multiply(C,inverse(C)),inverse(multiply(D,B))),A)))) = D;
% ";
%
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > a3 > b3 > c3";
%
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% multiply mul;
% inverse mul;
% ";
%
% let p2 = precedence F "
% multiply > inverse > a3 = b3 = c3";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { multiply(A,inverse(multiply(B,multiply(multiply(
% multiply(C,
% inverse(C)),
% inverse(
% multiply(D,B))),A))))
% = D } (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(multiply(a3,b3),c3) =
% multiply(a3,multiply(b3,c3)) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced :
% [1]
% multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),
% inverse(multiply(D,B))),A)))) -> D
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% multiply(A,inverse(multiply(multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,D))),multiply(V_4,
% inverse(V_4))),
% multiply(C,A)))) -> D
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A))))
% <->
% multiply(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,D))),
% multiply(V_5,inverse(V_5)))
% Current number of equations to process: 9
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,D))),
% multiply(V_5,inverse(V_5))) <->
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A))))
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% multiply(A,inverse(multiply(multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(D))),
% multiply(V_4,B)))),multiply(C,A))))
% -> V_4
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% multiply(A,inverse(multiply(B,multiply(C,A)))) <->
% multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(C,multiply(V_4,
% inverse(V_4))))))
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 6
% Rule [6]
% multiply(A,inverse(multiply(B,multiply(C,A)))) <->
% multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(C,multiply(V_4,
% inverse(V_4)))))) is composed into
% [6]
% multiply(A,inverse(multiply(B,multiply(C,A)))) <->
% multiply(c3,inverse(multiply(B,multiply(C,c3))))
% New rule produced :
% [7]
% multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(C,multiply(V_4,
% inverse(V_4))))))
% <-> multiply(A,inverse(multiply(B,multiply(C,A))))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A))))
% <->
% multiply(V_4,inverse(multiply(multiply(B,multiply(V_5,inverse(V_5))),
% multiply(D,V_4))))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(
% multiply(c3,
% inverse(
% multiply(D,
% multiply(B,c3)))),A))))
% -> D
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(
% multiply(D,
% inverse(
% multiply(V_4,
% multiply(B,D)))),A))))
% -> V_4
% Rule
% [9]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(
% multiply(c3,
% inverse(
% multiply(D,
% multiply(B,c3)))),A))))
% -> D collapsed.
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11]
% multiply(A,multiply(C,inverse(C))) <-> multiply(A,multiply(B,inverse(B)))
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [12]
% multiply(D,inverse(multiply(B,multiply(C,D)))) <->
% multiply(A,inverse(multiply(B,multiply(C,A))))
% Rule
% [6]
% multiply(A,inverse(multiply(B,multiply(C,A)))) <->
% multiply(c3,inverse(multiply(B,multiply(C,c3)))) collapsed.
% Current number of equations to process: 121
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [13] multiply(A,inverse(A)) <-> multiply(B,inverse(B))
% Rule
% [11]
% multiply(A,multiply(C,inverse(C))) <-> multiply(A,multiply(B,inverse(B)))
% collapsed.
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [14]
% multiply(A,inverse(multiply(inverse(B),multiply(multiply(C,inverse(C)),A))))
% -> B
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [15]
% multiply(D,inverse(multiply(B,multiply(A,D)))) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(C)))))
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [16]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(C))))) <->
% multiply(D,inverse(multiply(B,multiply(A,D))))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [17]
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(inverse(B),
% multiply(C,inverse(C))))) ->
% B
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [18]
% multiply(A,inverse(multiply(multiply(multiply(B,inverse(B)),multiply(C,
% inverse(C))),
% multiply(D,A)))) -> inverse(D)
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [19]
% multiply(A,inverse(multiply(inverse(B),multiply(multiply(multiply(C,inverse(C)),
% inverse(multiply(D,inverse(D)))),A))))
% -> B
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [20]
% multiply(multiply(A,inverse(A)),multiply(B,inverse(B))) <->
% multiply(inverse(inverse(D)),inverse(multiply(multiply(D,multiply(V_4,
% inverse(V_4))),
% multiply(c3,inverse(c3)))))
% Current number of equations to process: 209
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [21]
% multiply(inverse(inverse(D)),inverse(multiply(multiply(D,multiply(V_4,
% inverse(V_4))),
% multiply(c3,inverse(c3))))) <->
% multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [22]
% inverse(multiply(B,inverse(multiply(A,multiply(multiply(C,inverse(C)),B)))))
% -> A
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [23]
% multiply(V_4,inverse(multiply(D,multiply(C,V_4)))) <->
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,A)))
% Rule
% [2]
% multiply(A,inverse(multiply(multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,D))),multiply(V_4,
% inverse(V_4))),
% multiply(C,A)))) -> D collapsed.
% Current number of equations to process: 216
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [24]
% multiply(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,
% inverse(B)),C))),
% multiply(D,inverse(D))) -> inverse(C)
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [25]
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,A))) <->
% multiply(V_4,inverse(multiply(D,multiply(C,V_4))))
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [26]
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(V_4,inverse(V_4))),D))))
% <->
% multiply(inverse(multiply(inverse(A),multiply(B,inverse(B)))),inverse(
% multiply(C,A)))
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [27]
% multiply(inverse(multiply(inverse(A),multiply(B,inverse(B)))),inverse(
% multiply(C,A)))
% <->
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(V_4,inverse(V_4))),D))))
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [28]
% multiply(inverse(A),inverse(multiply(multiply(multiply(B,inverse(B)),
% multiply(C,inverse(C))),multiply(D,
% inverse(D)))))
% -> inverse(A)
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [29]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,multiply(C,
% inverse(C))))))
% -> B
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [30]
% inverse(inverse(multiply(A,inverse(A)))) <->
% multiply(multiply(B,inverse(B)),multiply(C,inverse(C)))
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 26
% Rule [30]
% inverse(inverse(multiply(A,inverse(A)))) <->
% multiply(multiply(B,inverse(B)),multiply(C,inverse(C))) is composed into
% [30]
% inverse(inverse(multiply(A,inverse(A)))) <->
% inverse(inverse(multiply(c3,inverse(c3))))
% Rule [21]
% multiply(inverse(inverse(D)),inverse(multiply(multiply(D,multiply(V_4,
% inverse(V_4))),
% multiply(c3,inverse(c3))))) <->
% multiply(multiply(A,inverse(A)),multiply(B,inverse(B))) is composed into
% [21]
% multiply(inverse(inverse(D)),inverse(multiply(multiply(D,multiply(V_4,
% inverse(V_4))),
% multiply(c3,inverse(c3))))) <->
% inverse(inverse(multiply(A,inverse(A))))
% New rule produced :
% [31]
% multiply(multiply(B,inverse(B)),multiply(C,inverse(C))) <->
% inverse(inverse(multiply(A,inverse(A))))
% Rule
% [18]
% multiply(A,inverse(multiply(multiply(multiply(B,inverse(B)),multiply(C,
% inverse(C))),
% multiply(D,A)))) -> inverse(D) collapsed.
% Rule
% [20]
% multiply(multiply(A,inverse(A)),multiply(B,inverse(B))) <->
% multiply(inverse(inverse(D)),inverse(multiply(multiply(D,multiply(V_4,
% inverse(V_4))),
% multiply(c3,inverse(c3))))) collapsed.
% Rule
% [28]
% multiply(inverse(A),inverse(multiply(multiply(multiply(B,inverse(B)),
% multiply(C,inverse(C))),multiply(D,
% inverse(D)))))
% -> inverse(A) collapsed.
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [32]
% multiply(A,inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),
% multiply(D,A)))) -> inverse(D)
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [33]
% multiply(D,inverse(D)) <->
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(C,inverse(C)),A)))),B)
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 26
% Rule [33]
% multiply(D,inverse(D)) <->
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(C,inverse(C)),A)))),B) is composed into
% [33] multiply(D,inverse(D)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [34]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(C,inverse(C)),A)))),B)
% <-> multiply(D,inverse(D))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [35]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),
% multiply(D,inverse(D))))) -> inverse(A)
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [36]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(A,inverse(multiply(B,multiply(multiply(C,inverse(C)),A))))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [37]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,multiply(C,
% inverse(C)))))
% Current number of equations to process: 279
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [38]
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,multiply(C,
% inverse(C)))))
% <-> multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D))))
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [39]
% multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(c3,inverse(c3)))))),
% inverse(multiply(inverse(D),A))) -> D
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [40]
% inverse(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(c3,
% inverse(c3)))))),
% inverse(multiply(B,A)))) -> B
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [41]
% multiply(C,inverse(C)) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B))))
% Current number of equations to process: 310
% Current number of ordered equations: 1
% Current number of rules: 34
% Rule [41]
% multiply(C,inverse(C)) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))) is composed into
% [41] multiply(C,inverse(C)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [42]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))) <->
% multiply(C,inverse(C))
% Rule
% [19]
% multiply(A,inverse(multiply(inverse(B),multiply(multiply(multiply(C,inverse(C)),
% inverse(multiply(D,inverse(D)))),A))))
% -> B collapsed.
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [43]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(multiply(
% inverse(C),
% multiply(D,B)))),
% inverse(C)))) -> D
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [44]
% multiply(multiply(multiply(A,inverse(A)),inverse(inverse(B))),multiply(C,
% inverse(C))) ->
% B
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [45]
% inverse(multiply(C,multiply(V_4,inverse(V_4)))) <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,A)))),
% multiply(D,inverse(D)))
% Current number of equations to process: 329
% Current number of ordered equations: 1
% Current number of rules: 37
% Rule [45]
% inverse(multiply(C,multiply(V_4,inverse(V_4)))) <->
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,A)))),
% multiply(D,inverse(D))) is composed into [45]
% inverse(multiply(C,multiply(V_4,
% inverse(V_4))))
% <->
% inverse(multiply(C,multiply(c3,
% inverse(c3))))
% New rule produced :
% [46]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,A)))),
% multiply(D,inverse(D))) <-> inverse(multiply(C,multiply(V_4,inverse(V_4))))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [47]
% multiply(inverse(multiply(inverse(A),multiply(B,inverse(B)))),inverse(
% multiply(C,A)))
% <->
% multiply(inverse(multiply(inverse(D),multiply(V_4,inverse(V_4)))),inverse(
% multiply(C,D)))
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [48]
% multiply(B,inverse(B)) <->
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(c3,
% inverse(c3)))))
% Current number of equations to process: 425
% Current number of ordered equations: 1
% Current number of rules: 40
% Rule [48]
% multiply(B,inverse(B)) <->
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(c3,
% inverse(c3))))) is composed into
% [48] multiply(B,inverse(B)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [49]
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(c3,
% inverse(c3))))) <->
% multiply(B,inverse(B))
% Current number of equations to process: 425
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [50]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(B),inverse(inverse(
% multiply(C,
% inverse(C)))))))
% -> B
% Current number of equations to process: 433
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [51]
% multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),
% multiply(C,A)))) -> inverse(C)
% Rule
% [32]
% multiply(A,inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),
% multiply(D,A)))) -> inverse(D) collapsed.
% Current number of equations to process: 434
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [52]
% multiply(C,inverse(multiply(multiply(D,inverse(D)),multiply(A,C)))) <->
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(B))))))
% Current number of equations to process: 443
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [53]
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(B)))))) <->
% multiply(C,inverse(multiply(multiply(D,inverse(D)),multiply(A,C))))
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [54]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(inverse(
% multiply(B,
% inverse(B)))))))
% <-> multiply(C,inverse(C))
% Current number of equations to process: 442
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [55]
% multiply(D,inverse(D)) <->
% multiply(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,
% multiply(C,
% inverse(C))))),B)
% Current number of equations to process: 442
% Current number of ordered equations: 1
% Current number of rules: 46
% Rule [55]
% multiply(D,inverse(D)) <->
% multiply(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,
% multiply(C,
% inverse(C))))),B) is composed into
% [55] multiply(D,inverse(D)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [56]
% multiply(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,
% multiply(C,
% inverse(C))))),B)
% <-> multiply(D,inverse(D))
% Current number of equations to process: 442
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [57]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B)))) <->
% multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,inverse(D)),B)))
% Current number of equations to process: 441
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [58]
% multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,inverse(D)),B)))
% <-> inverse(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B))))
% Current number of equations to process: 441
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [59]
% inverse(inverse(multiply(A,inverse(A)))) <->
% inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))))
% Current number of equations to process: 476
% Current number of ordered equations: 1
% Current number of rules: 50
% Rule [59]
% inverse(inverse(multiply(A,inverse(A)))) <->
% inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))) is composed into
% [59]
% inverse(inverse(multiply(A,inverse(A)))) <->
% inverse(inverse(multiply(c3,inverse(c3))))
% New rule produced :
% [60]
% inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))) <->
% inverse(inverse(multiply(A,inverse(A))))
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [61]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),
% multiply(C,inverse(C))))) -> inverse(A)
% Rule
% [35]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),
% multiply(D,inverse(D))))) -> inverse(A)
% collapsed.
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [62]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(c3,
% inverse(c3)))))),
% inverse(multiply(B,A))),B)
% Current number of equations to process: 498
% Current number of ordered equations: 1
% Current number of rules: 52
% Rule [62]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(c3,
% inverse(c3)))))),
% inverse(multiply(B,A))),B) is composed into [62]
% multiply(C,
% inverse(C)) <->
% multiply(c3,
% inverse(c3))
% New rule produced :
% [63]
% multiply(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(c3,
% inverse(c3)))))),
% inverse(multiply(B,A))),B) <-> multiply(C,inverse(C))
% Current number of equations to process: 498
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [64]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(multiply(C,
% inverse(C)))))))
% Current number of equations to process: 524
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [65]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(multiply(C,
% inverse(C)))))))
% <-> multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D))))
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [66]
% multiply(D,inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% multiply(C,D)))) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,A))))
% Current number of equations to process: 523
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [67]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,A)))) <->
% multiply(D,inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% multiply(C,D))))
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [68]
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,inverse(B)))) <->
% multiply(inverse(multiply(c3,inverse(c3))),inverse(inverse(inverse(inverse(
% multiply(c3,
% inverse(c3)))))))
% Current number of equations to process: 521
% Current number of ordered equations: 1
% Current number of rules: 58
% Rule [68]
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,inverse(B))))
% <->
% multiply(inverse(multiply(c3,inverse(c3))),inverse(inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3))))))) is composed into
% [68]
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,inverse(B)))) <->
% multiply(inverse(multiply(c3,inverse(c3))),inverse(multiply(c3,inverse(c3))))
% New rule produced :
% [69]
% multiply(inverse(multiply(c3,inverse(c3))),inverse(inverse(inverse(inverse(
% multiply(c3,
% inverse(c3)))))))
% <-> multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,inverse(B))))
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [70]
% multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(B,inverse(B)))))),
% inverse(multiply(inverse(C),A))) -> C
% Rule
% [39]
% multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(c3,inverse(c3)))))),
% inverse(multiply(inverse(D),A))) -> D collapsed.
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [71]
% inverse(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(B,
% inverse(B)))))),
% inverse(multiply(C,A)))) -> C
% Rule
% [40]
% inverse(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(c3,
% inverse(c3)))))),
% inverse(multiply(B,A)))) -> B collapsed.
% Current number of equations to process: 556
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [72]
% multiply(inverse(multiply(inverse(inverse(inverse(A))),inverse(inverse(
% multiply(c3,
% inverse(c3)))))),
% inverse(multiply(B,inverse(B)))) -> A
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [73]
% inverse(multiply(inverse(multiply(inverse(inverse(A)),inverse(inverse(
% multiply(c3,
% inverse(c3)))))),
% inverse(multiply(B,inverse(B))))) -> A
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [74]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(multiply(C,
% multiply(D,B)))),C)))
% -> D
% Rule
% [43]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(multiply(
% inverse(C),
% multiply(D,B)))),
% inverse(C)))) -> D collapsed.
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [75]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B))) <->
% multiply(multiply(C,inverse(C)),inverse(inverse(B)))
% Current number of equations to process: 602
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [76]
% multiply(multiply(C,inverse(C)),inverse(inverse(B))) <->
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B)))
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [77]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(multiply(multiply(A,inverse(A)),inverse(B)),multiply(C,inverse(C)))
% Current number of equations to process: 602
% Current number of ordered equations: 1
% Current number of rules: 64
% Rule [77]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D))))
% <->
% multiply(multiply(multiply(A,inverse(A)),inverse(B)),multiply(C,
% inverse(C))) is composed into
% [77]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(c3,inverse(multiply(B,multiply(multiply(c3,inverse(c3)),c3))))
% Rule [3]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A))))
% <->
% multiply(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,D))),
% multiply(V_5,inverse(V_5))) is composed into [3]
% multiply(A,inverse(
% multiply(
% multiply(B,
% multiply(C,
% inverse(C))),
% multiply(D,A))))
% <->
% multiply(D,inverse(
% multiply(
% multiply(B,D),
% multiply(
% multiply(V_4,
% inverse(V_4)),D))))
% New rule produced :
% [78]
% multiply(multiply(multiply(A,inverse(A)),inverse(B)),multiply(C,inverse(C)))
% <-> multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D))))
% Rule
% [4]
% multiply(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,D))),
% multiply(V_5,inverse(V_5))) <->
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A))))
% collapsed.
% Rule
% [24]
% multiply(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,
% inverse(B)),C))),
% multiply(D,inverse(D))) -> inverse(C) collapsed.
% Rule
% [44]
% multiply(multiply(multiply(A,inverse(A)),inverse(inverse(B))),multiply(C,
% inverse(C))) ->
% B collapsed.
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [79]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(multiply(multiply(B,
% inverse(B)),C),
% inverse(inverse(multiply(c3,
% inverse(c3)))))))
% -> inverse(C)
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [80]
% multiply(C,inverse(multiply(multiply(multiply(D,inverse(D)),inverse(inverse(B))),
% multiply(A,C)))) <-> multiply(inverse(A),inverse(B))
% Current number of equations to process: 602
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [81]
% multiply(inverse(A),inverse(B)) <->
% multiply(C,inverse(multiply(multiply(multiply(D,inverse(D)),inverse(inverse(B))),
% multiply(A,C))))
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [82]
% inverse(inverse(multiply(C,inverse(C)))) <->
% multiply(c3,inverse(multiply(A,multiply(inverse(multiply(multiply(B,inverse(B)),
% inverse(inverse(A)))),c3))))
% Current number of equations to process: 600
% Current number of ordered equations: 1
% Current number of rules: 66
% Rule [82]
% inverse(inverse(multiply(C,inverse(C)))) <->
% multiply(c3,inverse(multiply(A,multiply(inverse(multiply(multiply(B,
% inverse(B)),
% inverse(inverse(A)))),c3)))) is composed into
% [82]
% inverse(inverse(multiply(C,inverse(C)))) <->
% inverse(inverse(multiply(c3,inverse(c3))))
% New rule produced :
% [83]
% multiply(c3,inverse(multiply(A,multiply(inverse(multiply(multiply(B,inverse(B)),
% inverse(inverse(A)))),c3))))
% <-> inverse(inverse(multiply(C,inverse(C))))
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [84]
% multiply(inverse(multiply(multiply(A,inverse(multiply(inverse(B),multiply(C,A)))),
% inverse(B))),inverse(multiply(inverse(D),C))) -> D
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [85]
% multiply(D,inverse(multiply(B,multiply(multiply(multiply(V_4,inverse(V_4)),
% inverse(inverse(C))),D)))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C)))
% Current number of equations to process: 598
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [86]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) <->
% multiply(D,inverse(multiply(B,multiply(multiply(multiply(V_4,inverse(V_4)),
% inverse(inverse(C))),D))))
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [87]
% multiply(inverse(C),inverse(multiply(D,multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,A)))
% Current number of equations to process: 597
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [88]
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,A))) <->
% multiply(inverse(C),inverse(multiply(D,multiply(V_4,inverse(V_4)))))
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [89]
% multiply(C,inverse(C)) <->
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(A,multiply(c3,
% inverse(c3)))))
% Current number of equations to process: 599
% Current number of ordered equations: 1
% Current number of rules: 73
% Rule [89]
% multiply(C,inverse(C)) <->
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(A,multiply(c3,
% inverse(c3))))) is composed into
% [89] multiply(C,inverse(C)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [90]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(A,multiply(c3,
% inverse(c3)))))
% <-> multiply(C,inverse(C))
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [91]
% inverse(multiply(A,inverse(A))) <->
% inverse(inverse(inverse(inverse(multiply(c3,inverse(c3))))))
% Current number of equations to process: 605
% Current number of ordered equations: 1
% Current number of rules: 75
% Rule [91]
% inverse(multiply(A,inverse(A))) <->
% inverse(inverse(inverse(inverse(multiply(c3,inverse(c3)))))) is composed into
% [91] inverse(multiply(A,inverse(A))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [92]
% inverse(inverse(inverse(inverse(multiply(c3,inverse(c3)))))) <->
% inverse(multiply(A,inverse(A)))
% Rule
% [69]
% multiply(inverse(multiply(c3,inverse(c3))),inverse(inverse(inverse(inverse(
% multiply(c3,
% inverse(c3)))))))
% <-> multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,inverse(B))))
% collapsed.
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [93]
% inverse(multiply(A,multiply(C,inverse(C)))) <->
% multiply(multiply(inverse(A),inverse(inverse(inverse(multiply(c3,inverse(c3)))))),
% multiply(B,inverse(B)))
% Current number of equations to process: 625
% Current number of ordered equations: 1
% Current number of rules: 76
% Rule [93]
% inverse(multiply(A,multiply(C,inverse(C)))) <->
% multiply(multiply(inverse(A),inverse(inverse(inverse(multiply(c3,
% inverse(c3)))))),
% multiply(B,inverse(B))) is composed into [93]
% inverse(multiply(A,multiply(C,
% inverse(C))))
% <->
% inverse(multiply(A,multiply(c3,
% inverse(c3))))
% New rule produced :
% [94]
% multiply(multiply(inverse(A),inverse(inverse(inverse(multiply(c3,inverse(c3)))))),
% multiply(B,inverse(B))) <-> inverse(multiply(A,multiply(C,inverse(C))))
% Current number of equations to process: 625
% Current number of ordered equations: 0
% Current number of rules: 77
% Rule [67]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,A)))) <->
% multiply(D,inverse(multiply(inverse(inverse(inverse(multiply(c3,
% inverse(c3))))),
% multiply(C,D)))) is composed into [67]
% multiply(A,
% inverse(multiply(
% multiply(B,
% inverse(B)),
% multiply(C,A))))
% <->
% multiply(D,
% inverse(multiply(
% multiply(c3,
% inverse(c3)),
% multiply(C,D))))
% New rule produced :
% [95]
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) <->
% multiply(A,inverse(A))
% Rule
% [66]
% multiply(D,inverse(multiply(inverse(inverse(inverse(multiply(c3,inverse(c3))))),
% multiply(C,D)))) <->
% multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,A))))
% collapsed.
% Rule
% [92]
% inverse(inverse(inverse(inverse(multiply(c3,inverse(c3)))))) <->
% inverse(multiply(A,inverse(A))) collapsed.
% Rule
% [94]
% multiply(multiply(inverse(A),inverse(inverse(inverse(multiply(c3,inverse(c3)))))),
% multiply(B,inverse(B))) <-> inverse(multiply(A,multiply(C,inverse(C))))
% collapsed.
% Current number of equations to process: 635
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [96]
% inverse(multiply(A,multiply(C,inverse(C)))) <->
% multiply(multiply(inverse(A),multiply(c3,inverse(c3))),multiply(B,inverse(B)))
% Current number of equations to process: 634
% Current number of ordered equations: 1
% Current number of rules: 76
% Rule [96]
% inverse(multiply(A,multiply(C,inverse(C)))) <->
% multiply(multiply(inverse(A),multiply(c3,inverse(c3))),multiply(B,
% inverse(B))) is composed into
% [96]
% inverse(multiply(A,multiply(C,inverse(C)))) <->
% inverse(multiply(A,multiply(c3,inverse(c3))))
% New rule produced :
% [97]
% multiply(multiply(inverse(A),multiply(c3,inverse(c3))),multiply(B,inverse(B)))
% <-> inverse(multiply(A,multiply(C,inverse(C))))
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [98]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% multiply(c3,inverse(c3))
% Rule
% [95]
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) <->
% multiply(A,inverse(A)) collapsed.
% Current number of equations to process: 633
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [99]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(multiply(A,inverse(A)))))
% Current number of equations to process: 633
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [100]
% multiply(C,inverse(C)) <->
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(B,inverse(B)))))
% Current number of equations to process: 682
% Current number of ordered equations: 1
% Current number of rules: 79
% Rule [100]
% multiply(C,inverse(C)) <->
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(B,
% inverse(B))))) is composed into
% [100] multiply(C,inverse(C)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [101]
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(B,inverse(B)))))
% <-> multiply(C,inverse(C))
% Rule
% [49]
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(c3,
% inverse(c3))))) <->
% multiply(B,inverse(B)) collapsed.
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [102]
% inverse(multiply(multiply(B,inverse(B)),inverse(multiply(A,inverse(inverse(
% multiply(C,
% inverse(C))))))))
% -> A
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [103]
% multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),
% multiply(C,inverse(C))))) -> A
% Rule
% [61]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),
% multiply(C,inverse(C))))) -> inverse(A)
% collapsed.
% Current number of equations to process: 720
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [104]
% multiply(A,inverse(A)) <->
% multiply(B,inverse(multiply(multiply(C,inverse(C)),multiply(inverse(multiply(D,
% inverse(D))),B))))
% Current number of equations to process: 775
% Current number of ordered equations: 1
% Current number of rules: 81
% Rule [104]
% multiply(A,inverse(A)) <->
% multiply(B,inverse(multiply(multiply(C,inverse(C)),multiply(inverse(
% multiply(D,
% inverse(D))),B)))) is composed into
% [104] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [105]
% multiply(B,inverse(multiply(multiply(C,inverse(C)),multiply(inverse(multiply(D,
% inverse(D))),B))))
% <-> multiply(A,inverse(A))
% Current number of equations to process: 775
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [106]
% multiply(B,inverse(multiply(multiply(C,inverse(C)),multiply(A,B)))) <->
% multiply(inverse(A),multiply(c3,inverse(c3)))
% Current number of equations to process: 781
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [107]
% multiply(inverse(A),multiply(c3,inverse(c3))) <->
% multiply(B,inverse(multiply(multiply(C,inverse(C)),multiply(A,B))))
% Current number of equations to process: 781
% Current number of ordered equations: 0
% Current number of rules: 84
% Rule [82]
% inverse(inverse(multiply(C,inverse(C)))) <->
% inverse(inverse(multiply(c3,inverse(c3)))) is composed into [82]
% inverse(
% inverse(
% multiply(C,
% inverse(C))))
% <->
% multiply(c3,
% inverse(c3))
% Rule [59]
% inverse(inverse(multiply(A,inverse(A)))) <->
% inverse(inverse(multiply(c3,inverse(c3)))) is composed into [59]
% inverse(
% inverse(
% multiply(A,
% inverse(A))))
% <->
% multiply(c3,
% inverse(c3))
% Rule [52]
% multiply(C,inverse(multiply(multiply(D,inverse(D)),multiply(A,C)))) <->
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(B)))))) is composed into
% [52]
% multiply(C,inverse(multiply(multiply(D,inverse(D)),multiply(A,C)))) <->
% multiply(inverse(A),inverse(multiply(B,inverse(B))))
% Rule [30]
% inverse(inverse(multiply(A,inverse(A)))) <->
% inverse(inverse(multiply(c3,inverse(c3)))) is composed into [30]
% inverse(
% inverse(
% multiply(A,
% inverse(A))))
% <->
% multiply(c3,
% inverse(c3))
% New rule produced :
% [108] inverse(inverse(multiply(A,inverse(A)))) <-> multiply(B,inverse(B))
% Rule
% [51]
% multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),
% multiply(C,A)))) -> inverse(C) collapsed.
% Rule
% [53]
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(B)))))) <->
% multiply(C,inverse(multiply(multiply(D,inverse(D)),multiply(A,C))))
% collapsed.
% Rule
% [54]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(inverse(
% multiply(B,
% inverse(B)))))))
% <-> multiply(C,inverse(C)) collapsed.
% Rule
% [63]
% multiply(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(c3,
% inverse(c3)))))),
% inverse(multiply(B,A))),B) <-> multiply(C,inverse(C)) collapsed.
% Rule
% [70]
% multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(B,inverse(B)))))),
% inverse(multiply(inverse(C),A))) -> C collapsed.
% Rule
% [71]
% inverse(multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(B,
% inverse(B)))))),
% inverse(multiply(C,A)))) -> C collapsed.
% Rule
% [72]
% multiply(inverse(multiply(inverse(inverse(inverse(A))),inverse(inverse(
% multiply(c3,
% inverse(c3)))))),
% inverse(multiply(B,inverse(B)))) -> A collapsed.
% Rule
% [73]
% inverse(multiply(inverse(multiply(inverse(inverse(A)),inverse(inverse(
% multiply(c3,
% inverse(c3)))))),
% inverse(multiply(B,inverse(B))))) -> A collapsed.
% Rule
% [79]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(multiply(multiply(B,
% inverse(B)),C),
% inverse(inverse(multiply(c3,
% inverse(c3)))))))
% -> inverse(C) collapsed.
% Rule
% [101]
% multiply(inverse(multiply(A,inverse(A))),inverse(inverse(multiply(B,inverse(B)))))
% <-> multiply(C,inverse(C)) collapsed.
% Rule
% [103]
% multiply(A,inverse(multiply(inverse(inverse(multiply(B,inverse(B)))),
% multiply(C,inverse(C))))) -> A collapsed.
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 74
% Rule [107]
% multiply(inverse(A),multiply(c3,inverse(c3))) <->
% multiply(B,inverse(multiply(multiply(C,inverse(C)),multiply(A,B)))) is composed into
% [107] multiply(inverse(A),multiply(c3,inverse(c3))) -> inverse(A)
% New rule produced :
% [109]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,A)))) ->
% inverse(C)
% Rule
% [46]
% multiply(multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,A)))),
% multiply(D,inverse(D))) <-> inverse(multiply(C,multiply(V_4,inverse(V_4))))
% collapsed.
% Rule
% [52]
% multiply(C,inverse(multiply(multiply(D,inverse(D)),multiply(A,C)))) <->
% multiply(inverse(A),inverse(multiply(B,inverse(B)))) collapsed.
% Rule
% [67]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,A)))) <->
% multiply(D,inverse(multiply(multiply(c3,inverse(c3)),multiply(C,D))))
% collapsed.
% Rule
% [105]
% multiply(B,inverse(multiply(multiply(C,inverse(C)),multiply(inverse(multiply(D,
% inverse(D))),B))))
% <-> multiply(A,inverse(A)) collapsed.
% Rule
% [106]
% multiply(B,inverse(multiply(multiply(C,inverse(C)),multiply(A,B)))) <->
% multiply(inverse(A),multiply(c3,inverse(c3))) collapsed.
% Current number of equations to process: 804
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [110] multiply(inverse(A),inverse(multiply(B,inverse(B)))) -> inverse(A)
% Rule
% [68]
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,inverse(B)))) <->
% multiply(inverse(multiply(c3,inverse(c3))),inverse(multiply(c3,inverse(c3))))
% collapsed.
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [111]
% inverse(multiply(C,multiply(V_4,inverse(V_4)))) <->
% multiply(inverse(C),multiply(D,inverse(D)))
% Current number of equations to process: 802
% Current number of ordered equations: 1
% Current number of rules: 71
% Rule [111]
% inverse(multiply(C,multiply(V_4,inverse(V_4)))) <->
% multiply(inverse(C),multiply(D,inverse(D))) is composed into [111]
% inverse(
% multiply(C,
% multiply(V_4,
% inverse(V_4))))
% <->
% inverse(
% multiply(C,
% multiply(c3,
% inverse(c3))))
% Rule [26]
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(V_4,inverse(V_4))),D))))
% <->
% multiply(inverse(multiply(inverse(A),multiply(B,inverse(B)))),inverse(
% multiply(C,A))) is composed into
% [26]
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(V_4,inverse(V_4))),D))))
% <->
% multiply(inverse(inverse(multiply(A,multiply(c3,inverse(c3))))),inverse(
% multiply(C,A)))
% New rule produced :
% [112]
% multiply(inverse(C),multiply(D,inverse(D))) <->
% inverse(multiply(C,multiply(V_4,inverse(V_4))))
% Rule
% [17]
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(inverse(B),
% multiply(C,inverse(C))))) ->
% B collapsed.
% Rule
% [27]
% multiply(inverse(multiply(inverse(A),multiply(B,inverse(B)))),inverse(
% multiply(C,A)))
% <->
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(V_4,inverse(V_4))),D))))
% collapsed.
% Rule
% [47]
% multiply(inverse(multiply(inverse(A),multiply(B,inverse(B)))),inverse(
% multiply(C,A)))
% <->
% multiply(inverse(multiply(inverse(D),multiply(V_4,inverse(V_4)))),inverse(
% multiply(C,D)))
% collapsed.
% Rule
% [60]
% inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))) <->
% inverse(inverse(multiply(A,inverse(A)))) collapsed.
% Rule
% [97]
% multiply(multiply(inverse(A),multiply(c3,inverse(c3))),multiply(B,inverse(B)))
% <-> inverse(multiply(A,multiply(C,inverse(C)))) collapsed.
% Rule [107] multiply(inverse(A),multiply(c3,inverse(c3))) -> inverse(A)
% collapsed.
% Current number of equations to process: 808
% Current number of ordered equations: 0
% Current number of rules: 66
% Rule [111]
% inverse(multiply(C,multiply(V_4,inverse(V_4)))) <->
% inverse(multiply(C,multiply(c3,inverse(c3)))) is composed into [111]
% inverse(
% multiply(C,
% multiply(V_4,
% inverse(V_4))))
% ->
% inverse(C)
% Rule [96]
% inverse(multiply(A,multiply(C,inverse(C)))) <->
% inverse(multiply(A,multiply(c3,inverse(c3)))) is composed into [96]
% inverse(
% multiply(A,
% multiply(C,
% inverse(C))))
% ->
% inverse(A)
% Rule [93]
% inverse(multiply(A,multiply(C,inverse(C)))) <->
% inverse(multiply(A,multiply(c3,inverse(c3)))) is composed into [93]
% inverse(
% multiply(A,
% multiply(C,
% inverse(C))))
% ->
% inverse(A)
% Rule [45]
% inverse(multiply(C,multiply(V_4,inverse(V_4)))) <->
% inverse(multiply(C,multiply(c3,inverse(c3)))) is composed into [45]
% inverse(
% multiply(C,
% multiply(V_4,
% inverse(V_4))))
% ->
% inverse(C)
% Rule [26]
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(V_4,inverse(V_4))),D))))
% <->
% multiply(inverse(inverse(multiply(A,multiply(c3,inverse(c3))))),
% inverse(multiply(C,A))) is composed into [26]
% multiply(D,inverse(multiply(C,
% multiply(
% inverse(
% multiply(V_4,
% inverse(V_4))),D))))
% <->
% multiply(inverse(inverse(A)),
% inverse(multiply(C,A)))
% New rule produced :
% [113] inverse(multiply(A,multiply(c3,inverse(c3)))) -> inverse(A)
% Rule
% [21]
% multiply(inverse(inverse(D)),inverse(multiply(multiply(D,multiply(V_4,
% inverse(V_4))),
% multiply(c3,inverse(c3))))) <->
% inverse(inverse(multiply(A,inverse(A)))) collapsed.
% Rule
% [90]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(multiply(A,multiply(c3,
% inverse(c3)))))
% <-> multiply(C,inverse(C)) collapsed.
% Current number of equations to process: 809
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [114]
% multiply(C,inverse(C)) <->
% multiply(multiply(A,multiply(B,inverse(B))),inverse(A))
% Current number of equations to process: 808
% Current number of ordered equations: 1
% Current number of rules: 66
% Rule [114]
% multiply(C,inverse(C)) <->
% multiply(multiply(A,multiply(B,inverse(B))),inverse(A)) is composed into
% [114] multiply(C,inverse(C)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [115]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(A)) <->
% multiply(C,inverse(C))
% Current number of equations to process: 808
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [116]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <-> multiply(C,inverse(C))
% Rule
% [98]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 807
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [117]
% multiply(C,inverse(C)) <-> inverse(inverse(inverse(multiply(A,inverse(A)))))
% Rule
% [99]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(multiply(A,inverse(A))))) collapsed.
% Current number of equations to process: 807
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [118] multiply(A,inverse(multiply(c3,inverse(c3)))) -> A
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [119]
% inverse(inverse(multiply(A,inverse(A)))) <->
% multiply(inverse(inverse(D)),inverse(D))
% Current number of equations to process: 805
% Current number of ordered equations: 1
% Current number of rules: 69
% Rule [119]
% inverse(inverse(multiply(A,inverse(A)))) <->
% multiply(inverse(inverse(D)),inverse(D)) is composed into [119]
% inverse(
% inverse(
% multiply(A,
% inverse(A))))
% <->
% inverse(
% inverse(
% multiply(c3,
% inverse(c3))))
% New rule produced :
% [120]
% multiply(inverse(inverse(D)),inverse(D)) <->
% inverse(inverse(multiply(A,inverse(A))))
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 70
% Rule [58]
% multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,inverse(D)),B)))
% <->
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B)))) is composed into
% [58]
% multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,inverse(D)),B)))
% -> inverse(B)
% New rule produced :
% [121] multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B))) -> B
% Rule
% [57]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B)))) <->
% multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,inverse(D)),B)))
% collapsed.
% Current number of equations to process: 802
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [122] multiply(inverse(inverse(A)),inverse(multiply(inverse(C),A))) -> C
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [123] inverse(multiply(inverse(inverse(A)),inverse(multiply(C,A)))) -> C
% Current number of equations to process: 800
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [124] inverse(inverse(inverse(inverse(A)))) -> A
% Current number of equations to process: 797
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [125]
% multiply(multiply(inverse(inverse(A)),inverse(multiply(B,A))),B) <->
% multiply(C,inverse(C))
% Current number of equations to process: 795
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [126]
% inverse(multiply(inverse(inverse(A)),multiply(multiply(B,inverse(B)),C))) <->
% multiply(D,inverse(multiply(A,multiply(C,D))))
% Current number of equations to process: 793
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [127]
% multiply(D,inverse(multiply(A,multiply(C,D)))) <->
% inverse(multiply(inverse(inverse(A)),multiply(multiply(B,inverse(B)),C)))
% Rule
% [1]
% multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),
% inverse(multiply(D,B))),A)))) -> D
% collapsed.
% Rule
% [83]
% multiply(c3,inverse(multiply(A,multiply(inverse(multiply(multiply(B,inverse(B)),
% inverse(inverse(A)))),c3))))
% <-> inverse(inverse(multiply(C,inverse(C)))) collapsed.
% Current number of equations to process: 795
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [128]
% inverse(multiply(inverse(inverse(B)),multiply(multiply(c3,inverse(c3)),
% multiply(multiply(C,inverse(C)),
% inverse(multiply(D,B)))))) -> D
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [129]
% multiply(A,inverse(multiply(B,multiply(multiply(c3,inverse(c3)),A)))) <->
% multiply(inverse(multiply(C,inverse(C))),inverse(B))
% Current number of equations to process: 794
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [130]
% multiply(inverse(multiply(C,inverse(C))),inverse(B)) <->
% multiply(A,inverse(multiply(B,multiply(multiply(c3,inverse(c3)),A))))
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 77
% Rule [86]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) <->
% multiply(D,inverse(multiply(B,multiply(multiply(multiply(V_4,inverse(V_4)),
% inverse(inverse(C))),D)))) is composed into
% [86]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) <->
% multiply(D,inverse(multiply(B,multiply(C,D))))
% Rule [81]
% multiply(inverse(A),inverse(B)) <->
% multiply(C,inverse(multiply(multiply(multiply(D,inverse(D)),inverse(
% inverse(B))),
% multiply(A,C)))) is composed into [81]
% multiply(inverse(A),
% inverse(B)) <->
% multiply(C,
% inverse(multiply(B,
% multiply(A,C))))
% Rule [75]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B))) <->
% multiply(multiply(C,inverse(C)),inverse(inverse(B))) is composed into
% [75] inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B))) -> B
% New rule produced :
% [131] multiply(multiply(A,inverse(A)),inverse(inverse(B))) -> B
% Rule
% [76]
% multiply(multiply(C,inverse(C)),inverse(inverse(B))) <->
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B))) collapsed.
% Rule
% [80]
% multiply(C,inverse(multiply(multiply(multiply(D,inverse(D)),inverse(inverse(B))),
% multiply(A,C)))) <-> multiply(inverse(A),inverse(B))
% collapsed.
% Rule
% [85]
% multiply(D,inverse(multiply(B,multiply(multiply(multiply(V_4,inverse(V_4)),
% inverse(inverse(C))),D)))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) collapsed.
% Current number of equations to process: 796
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [132]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(multiply(A,inverse(A))),inverse(B)),B)
% Current number of equations to process: 794
% Current number of ordered equations: 1
% Current number of rules: 76
% Rule [132]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(multiply(A,inverse(A))),inverse(B)),B) is composed into
% [132] multiply(C,inverse(C)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [133]
% multiply(multiply(inverse(multiply(A,inverse(A))),inverse(B)),B) <->
% multiply(C,inverse(C))
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 77
% Rule [119]
% inverse(inverse(multiply(A,inverse(A)))) <->
% inverse(inverse(multiply(c3,inverse(c3)))) is composed into [119]
% inverse(
% inverse(
% multiply(A,
% inverse(A))))
% <->
% multiply(c3,
% inverse(c3))
% Rule [91]
% inverse(multiply(A,inverse(A))) <-> inverse(multiply(c3,inverse(c3))) is composed into
% [91] inverse(multiply(A,inverse(A))) <-> multiply(c3,inverse(c3))
% New rule produced :
% [134] inverse(multiply(A,inverse(A))) <-> multiply(c3,inverse(c3))
% Rule [118] multiply(A,inverse(multiply(c3,inverse(c3)))) -> A collapsed.
% Current number of equations to process: 795
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced : [135] multiply(A,multiply(c3,inverse(c3))) -> A
% Rule [113] inverse(multiply(A,multiply(c3,inverse(c3)))) -> inverse(A)
% collapsed.
% Current number of equations to process: 794
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [136] multiply(c3,inverse(c3)) <-> inverse(multiply(A,inverse(A)))
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [137]
% multiply(inverse(multiply(multiply(A,inverse(A)),B)),inverse(multiply(
% inverse(C),
% inverse(B)))) ->
% C
% Current number of equations to process: 802
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [138]
% multiply(inverse(multiply(multiply(A,inverse(A)),B)),inverse(multiply(C,
% inverse(B))))
% <-> multiply(inverse(multiply(D,inverse(D))),inverse(C))
% Rule
% [137]
% multiply(inverse(multiply(multiply(A,inverse(A)),B)),inverse(multiply(
% inverse(C),
% inverse(B)))) ->
% C collapsed.
% Current number of equations to process: 802
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [139]
% multiply(multiply(c3,inverse(c3)),inverse(A)) <->
% multiply(inverse(inverse(B)),inverse(multiply(A,B)))
% Current number of equations to process: 803
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [140]
% multiply(inverse(inverse(B)),inverse(multiply(A,B))) <->
% multiply(multiply(c3,inverse(c3)),inverse(A))
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [141]
% multiply(B,inverse(multiply(A,multiply(multiply(C,inverse(C)),B)))) <->
% multiply(multiply(c3,inverse(c3)),inverse(A))
% Current number of equations to process: 805
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [142]
% multiply(multiply(c3,inverse(c3)),inverse(A)) <->
% multiply(B,inverse(multiply(A,multiply(multiply(C,inverse(C)),B))))
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [143]
% inverse(inverse(multiply(inverse(B),inverse(inverse(multiply(C,inverse(C)))))))
% <-> multiply(multiply(A,inverse(A)),inverse(B))
% Current number of equations to process: 805
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [144]
% multiply(multiply(A,inverse(A)),inverse(B)) <->
% inverse(inverse(multiply(inverse(B),inverse(inverse(multiply(C,inverse(C)))))))
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [145] inverse(inverse(multiply(multiply(B,inverse(B)),A))) -> A
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [146] inverse(multiply(A,inverse(A))) <-> multiply(B,inverse(B))
% Rule
% [42]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B)))) <->
% multiply(C,inverse(C)) collapsed.
% Rule [91] inverse(multiply(A,inverse(A))) <-> multiply(c3,inverse(c3))
% collapsed.
% Rule [110] multiply(inverse(A),inverse(multiply(B,inverse(B)))) -> inverse(A)
% collapsed.
% Rule [134] inverse(multiply(A,inverse(A))) <-> multiply(c3,inverse(c3))
% collapsed.
% Current number of equations to process: 805
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [147] multiply(B,inverse(B)) <-> inverse(multiply(A,inverse(A)))
% Rule [136] multiply(c3,inverse(c3)) <-> inverse(multiply(A,inverse(A)))
% collapsed.
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [148]
% inverse(inverse(multiply(multiply(B,multiply(D,inverse(D))),multiply(C,
% multiply(V_4,
% inverse(V_4))))))
% <-> multiply(multiply(A,inverse(A)),multiply(B,C))
% Current number of equations to process: 802
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [149]
% multiply(multiply(A,inverse(A)),multiply(B,C)) <->
% inverse(inverse(multiply(multiply(B,multiply(D,inverse(D))),multiply(C,
% multiply(V_4,
% inverse(V_4))))))
% Current number of equations to process: 802
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [150]
% inverse(inverse(multiply(C,multiply(D,multiply(V_4,inverse(V_4)))))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(C,
% multiply(D,B))))))
% Current number of equations to process: 801
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [151]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(C,
% multiply(D,B))))))
% <-> inverse(inverse(multiply(C,multiply(D,multiply(V_4,inverse(V_4))))))
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [152]
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(multiply(D,inverse(D)),A))) -> inverse(C)
% Current number of equations to process: 800
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [153]
% multiply(D,inverse(multiply(multiply(B,multiply(V_4,inverse(V_4))),multiply(C,D))))
% <-> multiply(A,inverse(multiply(B,multiply(C,A))))
% Rule
% [3]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A))))
% <->
% multiply(D,inverse(multiply(multiply(B,D),multiply(multiply(V_4,inverse(V_4)),D))))
% collapsed.
% Rule
% [8]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A))))
% <->
% multiply(V_4,inverse(multiply(multiply(B,multiply(V_5,inverse(V_5))),
% multiply(D,V_4)))) collapsed.
% Rule
% [10]
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(
% multiply(D,
% inverse(
% multiply(V_4,
% multiply(B,D)))),A))))
% -> V_4 collapsed.
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [154]
% multiply(A,inverse(multiply(B,multiply(multiply(D,inverse(multiply(V_4,
% multiply(B,D)))),A))))
% -> V_4
% Current number of equations to process: 802
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [155]
% multiply(D,inverse(multiply(multiply(B,D),multiply(multiply(V_4,inverse(V_4)),D))))
% <-> multiply(A,inverse(multiply(B,multiply(D,A))))
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [156]
% multiply(inverse(inverse(A)),inverse(multiply(C,A))) <->
% multiply(inverse(inverse(D)),inverse(multiply(C,D)))
% Current number of equations to process: 799
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [157]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(inverse(
% inverse(
% multiply(A,
% inverse(A)))),
% multiply(B,C))),B)))
% -> C
% Current number of equations to process: 798
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [158]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(C,A))) <->
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(multiply(V_4,
% inverse(V_4)),B)),D))))
% Current number of equations to process: 797
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [159]
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(multiply(V_4,
% inverse(V_4)),B)),D))))
% <-> multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(C,A)))
% Current number of equations to process: 797
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [160]
% multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,multiply(D,B)))),
% multiply(C,A)))) -> D
% Current number of equations to process: 797
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [161]
% multiply(A,inverse(multiply(B,multiply(multiply(c3,inverse(c3)),A)))) <->
% multiply(inverse(inverse(C)),inverse(multiply(B,C)))
% Current number of equations to process: 797
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [162]
% multiply(inverse(inverse(C)),inverse(multiply(B,C))) <->
% multiply(A,inverse(multiply(B,multiply(multiply(c3,inverse(c3)),A))))
% Current number of equations to process: 797
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [163]
% multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(
% multiply(C,
% inverse(C))))))),B)
% <-> multiply(D,inverse(D))
% Current number of equations to process: 797
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [164]
% multiply(multiply(C,inverse(C)),inverse(multiply(B,inverse(inverse(multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(multiply(A,inverse(A))),inverse(B))
% Current number of equations to process: 803
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [165]
% multiply(inverse(multiply(A,inverse(A))),inverse(B)) <->
% multiply(multiply(C,inverse(C)),inverse(multiply(B,inverse(inverse(multiply(D,
% inverse(D)))))))
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 98
% Rule [165]
% multiply(inverse(multiply(A,inverse(A))),inverse(B)) <->
% multiply(multiply(C,inverse(C)),inverse(multiply(B,inverse(inverse(
% multiply(D,
% inverse(D))))))) is composed into
% [165]
% multiply(inverse(multiply(A,inverse(A))),inverse(B)) <->
% multiply(inverse(inverse(c3)),inverse(multiply(B,c3)))
% Rule [64]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D))))
% <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(
% multiply(C,
% inverse(C))))))) is composed into
% [64]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(inverse(inverse(c3)),inverse(multiply(B,c3)))
% New rule produced :
% [166]
% multiply(multiply(C,inverse(C)),inverse(multiply(B,inverse(inverse(multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(B,A)))
% Rule
% [50]
% multiply(multiply(A,inverse(A)),inverse(multiply(inverse(B),inverse(inverse(
% multiply(C,
% inverse(C)))))))
% -> B collapsed.
% Rule
% [65]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(multiply(C,
% inverse(C)))))))
% <-> multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D))))
% collapsed.
% Rule
% [102]
% inverse(multiply(multiply(B,inverse(B)),inverse(multiply(A,inverse(inverse(
% multiply(C,
% inverse(C))))))))
% -> A collapsed.
% Rule
% [163]
% multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(inverse(
% multiply(C,
% inverse(C))))))),B)
% <-> multiply(D,inverse(D)) collapsed.
% Rule
% [164]
% multiply(multiply(C,inverse(C)),inverse(multiply(B,inverse(inverse(multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(multiply(A,inverse(A))),inverse(B)) collapsed.
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [167]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(C)),C)))
% Current number of equations to process: 804
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [168]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(C)),C)))
% <-> multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D))))
% Current number of equations to process: 804
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [169]
% multiply(inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,A)))),B)),
% inverse(multiply(inverse(D),C))) -> D
% Rule
% [84]
% multiply(inverse(multiply(multiply(A,inverse(multiply(inverse(B),multiply(C,A)))),
% inverse(B))),inverse(multiply(inverse(D),C))) -> D
% collapsed.
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [170]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(multiply(A,multiply(C,
% inverse(C))),
% multiply(D,B)))))) -> D
% Current number of equations to process: 809
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [171]
% inverse(inverse(multiply(multiply(C,inverse(multiply(D,multiply(B,C)))),D)))
% <-> multiply(multiply(A,inverse(A)),inverse(B))
% Current number of equations to process: 815
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [172]
% multiply(multiply(A,inverse(A)),inverse(B)) <->
% inverse(inverse(multiply(multiply(C,inverse(multiply(D,multiply(B,C)))),D)))
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [173]
% inverse(multiply(A,inverse(multiply(B,multiply(C,A))))) <->
% multiply(B,multiply(C,inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 818
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [174]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(A,inverse(multiply(B,multiply(C,A)))))
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [175]
% inverse(multiply(inverse(multiply(A,inverse(A))),B)) <->
% multiply(C,inverse(multiply(B,multiply(multiply(D,inverse(D)),C))))
% Current number of equations to process: 817
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [176]
% multiply(C,inverse(multiply(B,multiply(multiply(D,inverse(D)),C)))) <->
% inverse(multiply(inverse(multiply(A,inverse(A))),B))
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [177] inverse(multiply(multiply(c3,inverse(c3)),inverse(A))) -> A
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 104
% Rule [151]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(C,
% multiply(D,B))))))
% <-> inverse(inverse(multiply(C,multiply(D,multiply(V_4,inverse(V_4)))))) is composed into
% [151]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(C,
% multiply(D,B))))))
% -> inverse(inverse(multiply(C,D)))
% Rule [149]
% multiply(multiply(A,inverse(A)),multiply(B,C)) <->
% inverse(inverse(multiply(multiply(B,multiply(D,inverse(D))),multiply(C,
% multiply(V_4,
% inverse(V_4)))))) is composed into
% [149]
% multiply(multiply(A,inverse(A)),multiply(B,C)) ->
% inverse(inverse(multiply(B,C)))
% Rule [88]
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,A))) <->
% multiply(inverse(C),inverse(multiply(D,multiply(V_4,inverse(V_4))))) is composed into
% [88]
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,A))) -> multiply(inverse(C),inverse(D))
% Rule [37]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D))))
% <->
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,multiply(C,
% inverse(C))))) is composed into
% [37]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(inverse(multiply(A,inverse(A))),inverse(B))
% Rule [15]
% multiply(D,inverse(multiply(B,multiply(A,D)))) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(C))))) is composed into
% [15]
% multiply(D,inverse(multiply(B,multiply(A,D)))) <->
% multiply(inverse(A),inverse(B))
% New rule produced : [178] multiply(A,multiply(B,inverse(B))) -> A
% Rule
% [5]
% multiply(A,inverse(multiply(multiply(B,inverse(multiply(multiply(C,multiply(D,
% inverse(D))),
% multiply(V_4,B)))),multiply(C,A))))
% -> V_4 collapsed.
% Rule
% [7]
% multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(C,multiply(V_4,
% inverse(V_4))))))
% <-> multiply(A,inverse(multiply(B,multiply(C,A)))) collapsed.
% Rule
% [16]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(C))))) <->
% multiply(D,inverse(multiply(B,multiply(A,D)))) collapsed.
% Rule
% [29]
% inverse(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,multiply(C,
% inverse(C))))))
% -> B collapsed.
% Rule
% [31]
% multiply(multiply(B,inverse(B)),multiply(C,inverse(C))) <->
% inverse(inverse(multiply(A,inverse(A)))) collapsed.
% Rule
% [38]
% multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,multiply(C,
% inverse(C)))))
% <-> multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D))))
% collapsed.
% Rule [45] inverse(multiply(C,multiply(V_4,inverse(V_4)))) -> inverse(C)
% collapsed.
% Rule
% [56]
% multiply(multiply(inverse(multiply(A,inverse(A))),inverse(multiply(B,
% multiply(C,
% inverse(C))))),B)
% <-> multiply(D,inverse(D)) collapsed.
% Rule
% [78]
% multiply(multiply(multiply(A,inverse(A)),inverse(B)),multiply(C,inverse(C)))
% <-> multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D))))
% collapsed.
% Rule
% [87]
% multiply(inverse(C),inverse(multiply(D,multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,A))) collapsed.
% Rule [93] inverse(multiply(A,multiply(C,inverse(C)))) -> inverse(A)
% collapsed.
% Rule [96] inverse(multiply(A,multiply(C,inverse(C)))) -> inverse(A)
% collapsed.
% Rule [111] inverse(multiply(C,multiply(V_4,inverse(V_4)))) -> inverse(C)
% collapsed.
% Rule
% [112]
% multiply(inverse(C),multiply(D,inverse(D))) <->
% inverse(multiply(C,multiply(V_4,inverse(V_4)))) collapsed.
% Rule
% [115]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(A)) <->
% multiply(C,inverse(C)) collapsed.
% Rule [135] multiply(A,multiply(c3,inverse(c3))) -> A collapsed.
% Rule
% [148]
% inverse(inverse(multiply(multiply(B,multiply(D,inverse(D))),multiply(C,
% multiply(V_4,
% inverse(V_4))))))
% <-> multiply(multiply(A,inverse(A)),multiply(B,C)) collapsed.
% Rule
% [150]
% inverse(inverse(multiply(C,multiply(D,multiply(V_4,inverse(V_4)))))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(C,
% multiply(D,B))))))
% collapsed.
% Rule
% [153]
% multiply(D,inverse(multiply(multiply(B,multiply(V_4,inverse(V_4))),multiply(C,D))))
% <-> multiply(A,inverse(multiply(B,multiply(C,A)))) collapsed.
% Rule
% [170]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(multiply(A,multiply(C,
% inverse(C))),
% multiply(D,B)))))) -> D
% collapsed.
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [179]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,multiply(D,B))))))
% -> D
% Current number of equations to process: 819
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [180]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(multiply(A,inverse(A)),inverse(B))
% Rule
% [141]
% multiply(B,inverse(multiply(A,multiply(multiply(C,inverse(C)),B)))) <->
% multiply(multiply(c3,inverse(c3)),inverse(A)) collapsed.
% Current number of equations to process: 818
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [181]
% multiply(multiply(A,inverse(A)),inverse(B)) <->
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D))))
% Rule
% [142]
% multiply(multiply(c3,inverse(c3)),inverse(A)) <->
% multiply(B,inverse(multiply(A,multiply(multiply(C,inverse(C)),B))))
% collapsed.
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [182]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C)))))))
% <-> multiply(inverse(inverse(D)),inverse(B))
% Current number of equations to process: 823
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [183]
% multiply(inverse(inverse(D)),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C)))))))
% Rule
% [120]
% multiply(inverse(inverse(D)),inverse(D)) <->
% inverse(inverse(multiply(A,inverse(A)))) collapsed.
% Current number of equations to process: 824
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [184]
% inverse(inverse(multiply(A,inverse(A)))) <->
% multiply(inverse(c3),inverse(multiply(D,multiply(c3,inverse(multiply(c3,
% multiply(D,c3)))))))
% Current number of equations to process: 823
% Current number of ordered equations: 1
% Current number of rules: 88
% Rule [184]
% inverse(inverse(multiply(A,inverse(A)))) <->
% multiply(inverse(c3),inverse(multiply(D,multiply(c3,inverse(multiply(c3,
% multiply(D,c3))))))) is composed into
% [184]
% inverse(inverse(multiply(A,inverse(A)))) <->
% inverse(inverse(multiply(c3,inverse(c3))))
% New rule produced :
% [185]
% multiply(inverse(c3),inverse(multiply(D,multiply(c3,inverse(multiply(c3,
% multiply(D,c3)))))))
% <-> inverse(inverse(multiply(A,inverse(A))))
% Current number of equations to process: 823
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [186]
% multiply(V_4,inverse(multiply(B,multiply(inverse(D),V_4)))) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C)))))))
% Current number of equations to process: 825
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [187]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C)))))))
% <-> multiply(V_4,inverse(multiply(B,multiply(inverse(D),V_4))))
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [188]
% multiply(D,inverse(multiply(B,multiply(A,D)))) <->
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(C,inverse(C))))))
% Current number of equations to process: 825
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [189]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(C,inverse(C)))))) <->
% multiply(D,inverse(multiply(B,multiply(A,D))))
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [190]
% multiply(B,inverse(multiply(inverse(multiply(C,inverse(C))),multiply(A,B))))
% -> inverse(A)
% Current number of equations to process: 826
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [191]
% multiply(B,inverse(multiply(A,multiply(inverse(multiply(C,inverse(C))),B))))
% <-> multiply(multiply(c3,inverse(c3)),inverse(A))
% Current number of equations to process: 825
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [192]
% multiply(multiply(c3,inverse(c3)),inverse(A)) <->
% multiply(B,inverse(multiply(A,multiply(inverse(multiply(C,inverse(C))),B))))
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [193]
% multiply(A,inverse(A)) <->
% multiply(B,inverse(multiply(C,multiply(inverse(C),B))))
% Current number of equations to process: 827
% Current number of ordered equations: 1
% Current number of rules: 97
% Rule [193]
% multiply(A,inverse(A)) <->
% multiply(B,inverse(multiply(C,multiply(inverse(C),B)))) is composed into
% [193] multiply(A,inverse(A)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [194]
% multiply(B,inverse(multiply(C,multiply(inverse(C),B)))) <->
% multiply(A,inverse(A))
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [195]
% multiply(inverse(multiply(A,B)),inverse(multiply(inverse(C),multiply(D,
% inverse(multiply(A,
% multiply(B,D)))))))
% -> C
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [196] multiply(B,inverse(inverse(inverse(multiply(A,B))))) -> inverse(A)
% Current number of equations to process: 838
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [197]
% inverse(inverse(multiply(A,B))) <->
% multiply(C,inverse(multiply(inverse(B),multiply(inverse(A),C))))
% Current number of equations to process: 839
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [198]
% multiply(C,inverse(multiply(inverse(B),multiply(inverse(A),C)))) <->
% inverse(inverse(multiply(A,B)))
% Current number of equations to process: 839
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [199]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(inverse(inverse(multiply(C,inverse(C)))),inverse(B))
% Current number of equations to process: 843
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [200]
% multiply(inverse(inverse(multiply(C,inverse(C)))),inverse(B)) <->
% multiply(inverse(inverse(A)),inverse(multiply(B,A)))
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [201]
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,inverse(D)))) -> multiply(inverse(C),A)
% Current number of equations to process: 847
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [202]
% inverse(multiply(inverse(inverse(A)),multiply(multiply(B,inverse(B)),C))) <->
% multiply(inverse(C),inverse(A))
% Current number of equations to process: 849
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [203]
% multiply(inverse(C),inverse(A)) <->
% inverse(multiply(inverse(inverse(A)),multiply(multiply(B,inverse(B)),C)))
% Current number of equations to process: 849
% Current number of ordered equations: 0
% Current number of rules: 107
% Rule [159]
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(multiply(V_4,
% inverse(V_4)),B)),D))))
% <->
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(C,A))) is composed into
% [159]
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(multiply(V_4,
% inverse(V_4)),B)),D))))
% <-> multiply(B,inverse(C))
% New rule produced :
% [204]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(C,A))) ->
% multiply(B,inverse(C))
% Rule
% [158]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(C,A))) <->
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(multiply(V_4,
% inverse(V_4)),B)),D))))
% collapsed.
% Current number of equations to process: 851
% Current number of ordered equations: 0
% Current number of rules: 107
% Rule [188]
% multiply(D,inverse(multiply(B,multiply(A,D)))) <->
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(C,inverse(C)))))) is composed into
% [188]
% multiply(D,inverse(multiply(B,multiply(A,D)))) <->
% multiply(inverse(A),inverse(B))
% New rule produced :
% [205]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(C,inverse(C)))))) ->
% multiply(inverse(A),inverse(B))
% Rule
% [189]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(C,inverse(C)))))) <->
% multiply(D,inverse(multiply(B,multiply(A,D)))) collapsed.
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [206]
% multiply(B,inverse(B)) <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(A))))
% Current number of equations to process: 861
% Current number of ordered equations: 1
% Current number of rules: 108
% Rule [206]
% multiply(B,inverse(B)) <->
% multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(A)))) is composed into
% [206] multiply(B,inverse(B)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [207]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(A)))) <->
% multiply(B,inverse(B))
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [208]
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(multiply(A,
% multiply(C,B))))))))
% -> inverse(inverse(C))
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [209] inverse(multiply(multiply(A,inverse(A)),inverse(B))) -> B
% Rule [177] inverse(multiply(multiply(c3,inverse(c3)),inverse(A))) -> A
% collapsed.
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [210]
% multiply(inverse(multiply(A,multiply(B,C))),inverse(inverse(inverse(multiply(
% inverse(B),
% inverse(A))))))
% -> inverse(C)
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [211]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(
% multiply(B,
% inverse(B)),C)))
% -> inverse(C)
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [212]
% multiply(D,inverse(multiply(B,multiply(C,D)))) <->
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,C)))
% Current number of equations to process: 864
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [213]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,C)))
% <-> multiply(D,inverse(multiply(B,multiply(C,D))))
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [214]
% inverse(multiply(inverse(inverse(inverse(A))),inverse(inverse(multiply(A,
% multiply(
% multiply(B,
% inverse(B)),C))))))
% -> inverse(C)
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [215]
% multiply(inverse(inverse(inverse(multiply(A,multiply(multiply(B,inverse(B)),
% inverse(C)))))),A) -> C
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 116
% Rule [23]
% multiply(V_4,inverse(multiply(D,multiply(C,V_4)))) <->
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,A))) is composed into [23]
% multiply(V_4,inverse(multiply(D,
% multiply(C,V_4))))
% <->
% multiply(inverse(inverse(
% inverse(
% multiply(
% multiply(B,
% inverse(B)),C)))),
% inverse(D))
% New rule produced :
% [216]
% multiply(inverse(multiply(inverse(A),B)),inverse(multiply(C,A))) ->
% multiply(inverse(inverse(inverse(B))),inverse(C))
% Rule
% [25]
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,A))) <->
% multiply(V_4,inverse(multiply(D,multiply(C,V_4)))) collapsed.
% Rule
% [88]
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,A))) -> multiply(inverse(C),inverse(D)) collapsed.
% Rule
% [152]
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(multiply(D,inverse(D)),A))) -> inverse(C) collapsed.
% Rule
% [204]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(multiply(C,A))) ->
% multiply(B,inverse(C)) collapsed.
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [217]
% multiply(C,inverse(multiply(B,multiply(multiply(D,inverse(D)),C)))) <->
% multiply(inverse(inverse(A)),inverse(multiply(B,A)))
% Rule
% [64]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(inverse(inverse(c3)),inverse(multiply(B,c3))) collapsed.
% Rule
% [155]
% multiply(D,inverse(multiply(multiply(B,D),multiply(multiply(V_4,inverse(V_4)),D))))
% <-> multiply(A,inverse(multiply(B,multiply(D,A)))) collapsed.
% Rule
% [161]
% multiply(A,inverse(multiply(B,multiply(multiply(c3,inverse(c3)),A)))) <->
% multiply(inverse(inverse(C)),inverse(multiply(B,C))) collapsed.
% Current number of equations to process: 868
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [218]
% multiply(A,inverse(multiply(B,multiply(D,A)))) <->
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(B,D),c3)))
% Current number of equations to process: 867
% Current number of ordered equations: 2
% Current number of rules: 112
% Rule [218]
% multiply(A,inverse(multiply(B,multiply(D,A)))) <->
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(B,D),c3))) is composed into
% [218]
% multiply(A,inverse(multiply(B,multiply(D,A)))) <->
% multiply(c3,inverse(multiply(B,multiply(D,c3))))
% New rule produced :
% [219]
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(B,D),c3))) <->
% multiply(A,inverse(multiply(B,multiply(D,A))))
% Current number of equations to process: 867
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [220]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(C,inverse(multiply(B,multiply(multiply(D,inverse(D)),C))))
% Rule
% [162]
% multiply(inverse(inverse(C)),inverse(multiply(B,C))) <->
% multiply(A,inverse(multiply(B,multiply(multiply(c3,inverse(c3)),A))))
% collapsed.
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [221] multiply(inverse(C),inverse(multiply(D,inverse(D)))) -> inverse(C)
% Rule
% [201]
% multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,inverse(D)))) -> multiply(inverse(C),A) collapsed.
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [222]
% inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))) <->
% multiply(inverse(C),A)
% Rule
% [202]
% inverse(multiply(inverse(inverse(A)),multiply(multiply(B,inverse(B)),C))) <->
% multiply(inverse(C),inverse(A)) collapsed.
% Current number of equations to process: 866
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [223]
% multiply(inverse(C),A) <->
% inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C)))
% Rule
% [157]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(inverse(multiply(inverse(
% inverse(
% multiply(A,
% inverse(A)))),
% multiply(B,C))),B)))
% -> C collapsed.
% Rule
% [203]
% multiply(inverse(C),inverse(A)) <->
% inverse(multiply(inverse(inverse(A)),multiply(multiply(B,inverse(B)),C)))
% collapsed.
% Rule
% [215]
% multiply(inverse(inverse(inverse(multiply(A,multiply(multiply(B,inverse(B)),
% inverse(C)))))),A) -> C
% collapsed.
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [224]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(multiply(inverse(A),B),
% inverse(B)))) -> A
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [225]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,inverse(multiply(A,
% multiply(C,B))))))
% -> C
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [226]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(C)))))),
% inverse(multiply(inverse(B),inverse(A)))) -> C
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [227]
% multiply(B,inverse(B)) <->
% multiply(inverse(inverse(A)),inverse(multiply(multiply(c3,inverse(c3)),A)))
% Current number of equations to process: 867
% Current number of ordered equations: 1
% Current number of rules: 115
% Rule [227]
% multiply(B,inverse(B)) <->
% multiply(inverse(inverse(A)),inverse(multiply(multiply(c3,inverse(c3)),A))) is composed into
% [227] multiply(B,inverse(B)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [228]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(c3,inverse(c3)),A)))
% <-> multiply(B,inverse(B))
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 116
% Rule [220]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(C,inverse(multiply(B,multiply(multiply(D,inverse(D)),C)))) is composed into
% [220]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) ->
% inverse(inverse(inverse(B)))
% Rule [181]
% multiply(multiply(A,inverse(A)),inverse(B)) <->
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) is composed into
% [181]
% multiply(multiply(A,inverse(A)),inverse(B)) -> inverse(inverse(inverse(B)))
% Rule [175]
% inverse(multiply(inverse(multiply(A,inverse(A))),B)) <->
% multiply(C,inverse(multiply(B,multiply(multiply(D,inverse(D)),C)))) is composed into
% [175]
% inverse(multiply(inverse(multiply(A,inverse(A))),B)) ->
% inverse(inverse(inverse(B)))
% Rule [168]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(C)),C)))
% <->
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) is composed into
% [168]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(C)),C)))
% -> inverse(inverse(inverse(B)))
% Rule [130]
% multiply(inverse(multiply(C,inverse(C))),inverse(B)) <->
% multiply(A,inverse(multiply(B,multiply(multiply(c3,inverse(c3)),A)))) is composed into
% [130]
% multiply(inverse(multiply(C,inverse(C))),inverse(B)) ->
% inverse(inverse(inverse(B)))
% New rule produced :
% [229]
% multiply(B,inverse(multiply(A,multiply(multiply(C,inverse(C)),B)))) ->
% inverse(inverse(inverse(A)))
% Rule
% [14]
% multiply(A,inverse(multiply(inverse(B),multiply(multiply(C,inverse(C)),A))))
% -> B collapsed.
% Rule
% [22]
% inverse(multiply(B,inverse(multiply(A,multiply(multiply(C,inverse(C)),B)))))
% -> A collapsed.
% Rule
% [34]
% multiply(multiply(A,inverse(multiply(B,multiply(multiply(C,inverse(C)),A)))),B)
% <-> multiply(D,inverse(D)) collapsed.
% Rule
% [36]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(A,inverse(multiply(B,multiply(multiply(C,inverse(C)),A))))
% collapsed.
% Rule
% [37]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(inverse(multiply(A,inverse(A))),inverse(B)) collapsed.
% Rule
% [77]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(c3,inverse(multiply(B,multiply(multiply(c3,inverse(c3)),c3))))
% collapsed.
% Rule
% [129]
% multiply(A,inverse(multiply(B,multiply(multiply(c3,inverse(c3)),A)))) <->
% multiply(inverse(multiply(C,inverse(C))),inverse(B)) collapsed.
% Rule
% [167]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(C)),C)))
% collapsed.
% Rule
% [176]
% multiply(C,inverse(multiply(B,multiply(multiply(D,inverse(D)),C)))) <->
% inverse(multiply(inverse(multiply(A,inverse(A))),B)) collapsed.
% Rule
% [180]
% multiply(D,inverse(multiply(B,multiply(multiply(V_4,inverse(V_4)),D)))) <->
% multiply(multiply(A,inverse(A)),inverse(B)) collapsed.
% Rule
% [217]
% multiply(C,inverse(multiply(B,multiply(multiply(D,inverse(D)),C)))) <->
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) collapsed.
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [230] multiply(D,inverse(D)) <-> multiply(inverse(inverse(inverse(B))),B)
% Current number of equations to process: 868
% Current number of ordered equations: 1
% Current number of rules: 107
% Rule [230]
% multiply(D,inverse(D)) <-> multiply(inverse(inverse(inverse(B))),B) is composed into
% [230] multiply(D,inverse(D)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [231] multiply(inverse(inverse(inverse(B))),B) <-> multiply(D,inverse(D))
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [232]
% inverse(multiply(inverse(inverse(inverse(multiply(A,multiply(B,C))))),
% inverse(multiply(inverse(B),inverse(A))))) -> C
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [233]
% inverse(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,inverse(B)),C)))))
% -> C
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [234]
% multiply(A,inverse(B)) <->
% multiply(C,inverse(multiply(B,multiply(inverse(inverse(inverse(A))),C))))
% Current number of equations to process: 871
% Current number of ordered equations: 3
% Current number of rules: 111
% New rule produced :
% [235]
% multiply(C,inverse(multiply(inverse(inverse(inverse(B))),multiply(A,C)))) <->
% multiply(inverse(A),B)
% Current number of equations to process: 871
% Current number of ordered equations: 2
% Current number of rules: 112
% New rule produced :
% [236]
% multiply(C,inverse(multiply(B,multiply(inverse(inverse(inverse(A))),C)))) <->
% multiply(A,inverse(B))
% Current number of equations to process: 871
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [237]
% multiply(inverse(A),B) <->
% multiply(C,inverse(multiply(inverse(inverse(inverse(B))),multiply(A,C))))
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 114
% Rule [192]
% multiply(multiply(c3,inverse(c3)),inverse(A)) <->
% multiply(B,inverse(multiply(A,multiply(inverse(multiply(C,inverse(C))),B)))) is composed into
% [192]
% multiply(multiply(c3,inverse(c3)),inverse(A)) <->
% multiply(B,inverse(multiply(A,inverse(inverse(B)))))
% Rule [138]
% multiply(inverse(multiply(multiply(A,inverse(A)),B)),inverse(multiply(C,
% inverse(B))))
% <-> multiply(inverse(multiply(D,inverse(D))),inverse(C)) is composed into
% [138]
% multiply(inverse(multiply(multiply(A,inverse(A)),B)),inverse(multiply(C,
% inverse(B)))) ->
% inverse(inverse(inverse(C)))
% New rule produced :
% [238] multiply(inverse(multiply(A,inverse(A))),B) -> inverse(inverse(B))
% Rule
% [26]
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(V_4,inverse(V_4))),D))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(C,A))) collapsed.
% Rule [75] inverse(multiply(inverse(multiply(A,inverse(A))),inverse(B))) -> B
% collapsed.
% Rule [121] multiply(inverse(multiply(A,inverse(A))),inverse(inverse(B))) -> B
% collapsed.
% Rule
% [130]
% multiply(inverse(multiply(C,inverse(C))),inverse(B)) ->
% inverse(inverse(inverse(B))) collapsed.
% Rule
% [133]
% multiply(multiply(inverse(multiply(A,inverse(A))),inverse(B)),B) <->
% multiply(C,inverse(C)) collapsed.
% Rule
% [165]
% multiply(inverse(multiply(A,inverse(A))),inverse(B)) <->
% multiply(inverse(inverse(c3)),inverse(multiply(B,c3))) collapsed.
% Rule
% [175]
% inverse(multiply(inverse(multiply(A,inverse(A))),B)) ->
% inverse(inverse(inverse(B))) collapsed.
% Rule
% [190]
% multiply(B,inverse(multiply(inverse(multiply(C,inverse(C))),multiply(A,B))))
% -> inverse(A) collapsed.
% Rule
% [191]
% multiply(B,inverse(multiply(A,multiply(inverse(multiply(C,inverse(C))),B))))
% <-> multiply(multiply(c3,inverse(c3)),inverse(A)) collapsed.
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 106
% Rule [192]
% multiply(multiply(c3,inverse(c3)),inverse(A)) <->
% multiply(B,inverse(multiply(A,inverse(inverse(B))))) is composed into
% [192]
% multiply(multiply(c3,inverse(c3)),inverse(A)) -> inverse(inverse(inverse(A)))
% New rule produced :
% [239]
% multiply(B,inverse(multiply(A,inverse(inverse(B))))) ->
% inverse(inverse(inverse(A)))
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [240]
% multiply(A,multiply(B,inverse(multiply(C,multiply(A,B))))) -> inverse(C)
% Rule
% [185]
% multiply(inverse(c3),inverse(multiply(D,multiply(c3,inverse(multiply(c3,
% multiply(D,c3)))))))
% <-> inverse(inverse(multiply(A,inverse(A)))) collapsed.
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [241]
% inverse(multiply(A,multiply(multiply(B,inverse(B)),C))) <->
% multiply(D,inverse(multiply(inverse(inverse(A)),multiply(C,D))))
% Current number of equations to process: 891
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [242]
% multiply(D,inverse(multiply(inverse(inverse(A)),multiply(C,D)))) <->
% inverse(multiply(A,multiply(multiply(B,inverse(B)),C)))
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [243]
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,A))))))) <->
% multiply(inverse(inverse(B)),multiply(multiply(D,inverse(D)),C))
% Current number of equations to process: 892
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [244]
% multiply(inverse(inverse(B)),multiply(multiply(D,inverse(D)),C)) <->
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,A)))))))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [245]
% inverse(multiply(inverse(inverse(B)),A)) <->
% multiply(inverse(inverse(inverse(A))),inverse(B))
% Current number of equations to process: 899
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [246]
% multiply(inverse(inverse(inverse(A))),inverse(B)) <->
% inverse(multiply(inverse(inverse(B)),A))
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [247]
% inverse(multiply(inverse(inverse(A)),inverse(B))) <->
% multiply(C,inverse(multiply(A,multiply(inverse(multiply(multiply(D,inverse(D)),B)),C))))
% Current number of equations to process: 901
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [248]
% multiply(C,inverse(multiply(A,multiply(inverse(multiply(multiply(D,inverse(D)),B)),C))))
% <-> inverse(multiply(inverse(inverse(A)),inverse(B)))
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [249]
% multiply(D,inverse(D)) <->
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(C,
% inverse(multiply(A,
% multiply(B,C))))))
% Current number of equations to process: 900
% Current number of ordered equations: 1
% Current number of rules: 116
% Rule [249]
% multiply(D,inverse(D)) <->
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(C,
% inverse(
% multiply(A,
% multiply(B,C)))))) is composed into
% [249] multiply(D,inverse(D)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [250]
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(C,
% inverse(multiply(A,
% multiply(B,C))))))
% <-> multiply(D,inverse(D))
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [251]
% multiply(inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,A)))),B)),
% inverse(multiply(D,C))) -> inverse(inverse(inverse(D)))
% Rule
% [169]
% multiply(inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,A)))),B)),
% inverse(multiply(inverse(D),C))) -> D collapsed.
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [252]
% multiply(inverse(multiply(A,B)),inverse(multiply(C,multiply(D,inverse(
% multiply(A,
% multiply(B,D)))))))
% -> inverse(inverse(inverse(C)))
% Rule
% [195]
% multiply(inverse(multiply(A,B)),inverse(multiply(inverse(C),multiply(D,
% inverse(multiply(A,
% multiply(B,D)))))))
% -> C collapsed.
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [253]
% multiply(inverse(multiply(A,multiply(B,C))),multiply(inverse(inverse(A)),
% multiply(multiply(D,inverse(D)),B)))
% -> inverse(C)
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [254]
% inverse(multiply(D,inverse(D))) <->
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(C,inverse(
% multiply(A,
% multiply(B,C))))))))
% Current number of equations to process: 896
% Current number of ordered equations: 1
% Current number of rules: 119
% Rule [254]
% inverse(multiply(D,inverse(D))) <->
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(C,
% inverse(
% multiply(A,
% multiply(B,C)))))))) is composed into
% [254] inverse(multiply(D,inverse(D))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [255]
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(C,inverse(
% multiply(A,
% multiply(B,C))))))))
% <-> inverse(multiply(D,inverse(D)))
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [256]
% inverse(inverse(multiply(inverse(B),multiply(multiply(D,inverse(D)),C)))) <->
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(inverse(C),
% inverse(A))))))
% Current number of equations to process: 895
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [257]
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(inverse(C),
% inverse(A)))))) <->
% inverse(inverse(multiply(inverse(B),multiply(multiply(D,inverse(D)),C))))
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [258]
% inverse(multiply(c3,inverse(multiply(A,inverse(multiply(inverse(c3),inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),B))))))))))
% -> inverse(inverse(B))
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [259]
% inverse(multiply(inverse(inverse(A)),multiply(B,inverse(multiply(C,multiply(D,B))))))
% <-> multiply(V_4,inverse(multiply(A,multiply(inverse(multiply(C,D)),V_4))))
% Current number of equations to process: 892
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [260]
% multiply(V_4,inverse(multiply(A,multiply(inverse(multiply(C,D)),V_4)))) <->
% inverse(multiply(inverse(inverse(A)),multiply(B,inverse(multiply(C,multiply(D,B))))))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [261]
% inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(D))))) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C)))))))
% Current number of equations to process: 891
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [262]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C)))))))
% <-> inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(D)))))
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [263]
% multiply(inverse(multiply(A,multiply(B,C))),inverse(inverse(inverse(multiply(D,
% inverse(
% multiply(A,
% multiply(B,D))))))))
% -> inverse(C)
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [264]
% multiply(D,inverse(D)) <->
% multiply(multiply(inverse(inverse(inverse(multiply(A,multiply(B,C))))),
% inverse(multiply(inverse(B),inverse(A)))),C)
% Current number of equations to process: 888
% Current number of ordered equations: 1
% Current number of rules: 129
% Rule [264]
% multiply(D,inverse(D)) <->
% multiply(multiply(inverse(inverse(inverse(multiply(A,multiply(B,C))))),
% inverse(multiply(inverse(B),inverse(A)))),C) is composed into
% [264] multiply(D,inverse(D)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [265]
% multiply(multiply(inverse(inverse(inverse(multiply(A,multiply(B,C))))),
% inverse(multiply(inverse(B),inverse(A)))),C) <->
% multiply(D,inverse(D))
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [266] multiply(B,inverse(B)) <-> multiply(inverse(A),A)
% Current number of equations to process: 888
% Current number of ordered equations: 1
% Current number of rules: 131
% Rule [266] multiply(B,inverse(B)) <-> multiply(inverse(A),A) is composed into
% [266] multiply(B,inverse(B)) <-> multiply(c3,inverse(c3))
% New rule produced : [267] multiply(inverse(A),A) <-> multiply(B,inverse(B))
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [268]
% inverse(multiply(inverse(inverse(A)),inverse(inverse(multiply(B,inverse(
% multiply(C,
% multiply(A,B))))))))
% -> C
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [269]
% inverse(inverse(multiply(inverse(inverse(A)),multiply(inverse(A),B)))) ->
% inverse(inverse(B))
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [270]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(inverse(B)))
% -> B
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 135
% Rule [257]
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(
% inverse(C),
% inverse(A))))))
% <->
% inverse(inverse(multiply(inverse(B),multiply(multiply(D,inverse(D)),C)))) is composed into
% [257]
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(inverse(C),
% inverse(A)))))) ->
% inverse(inverse(multiply(inverse(B),inverse(inverse(C)))))
% Rule [247]
% inverse(multiply(inverse(inverse(A)),inverse(B))) <->
% multiply(C,inverse(multiply(A,multiply(inverse(multiply(multiply(D,
% inverse(D)),B)),C)))) is composed into
% [247]
% inverse(multiply(inverse(inverse(A)),inverse(B))) <->
% multiply(C,inverse(multiply(A,multiply(inverse(inverse(inverse(B))),C))))
% Rule [243]
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,A)))))))
% <-> multiply(inverse(inverse(B)),multiply(multiply(D,inverse(D)),C)) is composed into
% [243]
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,A))))))) <->
% multiply(inverse(inverse(B)),inverse(inverse(C)))
% Rule [242]
% multiply(D,inverse(multiply(inverse(inverse(A)),multiply(C,D)))) <->
% inverse(multiply(A,multiply(multiply(B,inverse(B)),C))) is composed into
% [242]
% multiply(D,inverse(multiply(inverse(inverse(A)),multiply(C,D)))) ->
% inverse(multiply(A,inverse(inverse(C))))
% Rule [223]
% multiply(inverse(C),A) <->
% inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))) is composed into
% [223]
% multiply(inverse(C),A) <-> inverse(multiply(inverse(A),inverse(inverse(C))))
% Rule [171]
% inverse(inverse(multiply(multiply(C,inverse(multiply(D,multiply(B,C)))),D)))
% <-> multiply(multiply(A,inverse(A)),inverse(B)) is composed into
% [171]
% inverse(inverse(multiply(multiply(C,inverse(multiply(D,multiply(B,C)))),D)))
% -> inverse(inverse(inverse(B)))
% Rule [143]
% inverse(inverse(multiply(inverse(B),inverse(inverse(multiply(C,inverse(C)))))))
% <-> multiply(multiply(A,inverse(A)),inverse(B)) is composed into
% [143]
% inverse(inverse(multiply(inverse(B),inverse(inverse(multiply(C,inverse(C)))))))
% -> inverse(inverse(inverse(B)))
% Rule [140]
% multiply(inverse(inverse(B)),inverse(multiply(A,B))) <->
% multiply(multiply(c3,inverse(c3)),inverse(A)) is composed into [140]
% multiply(
% inverse(
% inverse(B)),
% inverse(
% multiply(A,B)))
% ->
% inverse(
% inverse(
% inverse(A)))
% Rule [127]
% multiply(D,inverse(multiply(A,multiply(C,D)))) <->
% inverse(multiply(inverse(inverse(A)),multiply(multiply(B,inverse(B)),C))) is composed into
% [127]
% multiply(D,inverse(multiply(A,multiply(C,D)))) <->
% inverse(multiply(inverse(inverse(A)),inverse(inverse(C))))
% Rule [23]
% multiply(V_4,inverse(multiply(D,multiply(C,V_4)))) <->
% multiply(inverse(inverse(inverse(multiply(multiply(B,inverse(B)),C)))),
% inverse(D)) is composed into [23]
% multiply(V_4,inverse(multiply(D,multiply(C,V_4))))
% <->
% multiply(inverse(inverse(inverse(inverse(
% inverse(C))))),
% inverse(D))
% New rule produced :
% [271] multiply(multiply(A,inverse(A)),B) -> inverse(inverse(B))
% Rule
% [58]
% multiply(multiply(C,inverse(C)),inverse(multiply(multiply(D,inverse(D)),B)))
% -> inverse(B) collapsed.
% Rule
% [74]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(multiply(C,
% multiply(D,B)))),C)))
% -> D collapsed.
% Rule
% [86]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) <->
% multiply(D,inverse(multiply(B,multiply(C,D)))) collapsed.
% Rule
% [109]
% multiply(A,inverse(multiply(multiply(B,inverse(B)),multiply(C,A)))) ->
% inverse(C) collapsed.
% Rule
% [126]
% inverse(multiply(inverse(inverse(A)),multiply(multiply(B,inverse(B)),C))) <->
% multiply(D,inverse(multiply(A,multiply(C,D)))) collapsed.
% Rule
% [128]
% inverse(multiply(inverse(inverse(B)),multiply(multiply(c3,inverse(c3)),
% multiply(multiply(C,inverse(C)),
% inverse(multiply(D,B)))))) -> D
% collapsed.
% Rule [131] multiply(multiply(A,inverse(A)),inverse(inverse(B))) -> B
% collapsed.
% Rule
% [138]
% multiply(inverse(multiply(multiply(A,inverse(A)),B)),inverse(multiply(C,
% inverse(B)))) ->
% inverse(inverse(inverse(C))) collapsed.
% Rule
% [139]
% multiply(multiply(c3,inverse(c3)),inverse(A)) <->
% multiply(inverse(inverse(B)),inverse(multiply(A,B))) collapsed.
% Rule
% [144]
% multiply(multiply(A,inverse(A)),inverse(B)) <->
% inverse(inverse(multiply(inverse(B),inverse(inverse(multiply(C,inverse(C)))))))
% collapsed.
% Rule [145] inverse(inverse(multiply(multiply(B,inverse(B)),A))) -> A
% collapsed.
% Rule
% [149]
% multiply(multiply(A,inverse(A)),multiply(B,C)) ->
% inverse(inverse(multiply(B,C))) collapsed.
% Rule
% [151]
% multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(multiply(C,
% multiply(D,B))))))
% -> inverse(inverse(multiply(C,D))) collapsed.
% Rule
% [159]
% multiply(D,inverse(multiply(C,multiply(inverse(multiply(multiply(V_4,
% inverse(V_4)),B)),D))))
% <-> multiply(B,inverse(C)) collapsed.
% Rule
% [166]
% multiply(multiply(C,inverse(C)),inverse(multiply(B,inverse(inverse(multiply(D,
% inverse(D)))))))
% <-> multiply(inverse(inverse(A)),inverse(multiply(B,A))) collapsed.
% Rule
% [168]
% multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,inverse(C)),C)))
% -> inverse(inverse(inverse(B))) collapsed.
% Rule
% [172]
% multiply(multiply(A,inverse(A)),inverse(B)) <->
% inverse(inverse(multiply(multiply(C,inverse(multiply(D,multiply(B,C)))),D)))
% collapsed.
% Rule
% [181]
% multiply(multiply(A,inverse(A)),inverse(B)) -> inverse(inverse(inverse(B)))
% collapsed.
% Rule
% [192]
% multiply(multiply(c3,inverse(c3)),inverse(A)) -> inverse(inverse(inverse(A)))
% collapsed.
% Rule
% [207]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(A,inverse(A)))) <->
% multiply(B,inverse(B)) collapsed.
% Rule [209] inverse(multiply(multiply(A,inverse(A)),inverse(B))) -> B
% collapsed.
% Rule
% [211]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(
% multiply(B,
% inverse(B)),C)))
% -> inverse(C) collapsed.
% Rule
% [214]
% inverse(multiply(inverse(inverse(inverse(A))),inverse(inverse(multiply(A,
% multiply(
% multiply(B,
% inverse(B)),C))))))
% -> inverse(C) collapsed.
% Rule
% [222]
% inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))) <->
% multiply(inverse(C),A) collapsed.
% Rule
% [224]
% multiply(multiply(c3,inverse(c3)),inverse(multiply(multiply(inverse(A),B),
% inverse(B)))) -> A collapsed.
% Rule
% [228]
% multiply(inverse(inverse(A)),inverse(multiply(multiply(c3,inverse(c3)),A)))
% <-> multiply(B,inverse(B)) collapsed.
% Rule
% [229]
% multiply(B,inverse(multiply(A,multiply(multiply(C,inverse(C)),B)))) ->
% inverse(inverse(inverse(A))) collapsed.
% Rule
% [233]
% inverse(inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,inverse(B)),C)))))
% -> C collapsed.
% Rule
% [241]
% inverse(multiply(A,multiply(multiply(B,inverse(B)),C))) <->
% multiply(D,inverse(multiply(inverse(inverse(A)),multiply(C,D)))) collapsed.
% Rule
% [244]
% multiply(inverse(inverse(B)),multiply(multiply(D,inverse(D)),C)) <->
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,A)))))))
% collapsed.
% Rule
% [248]
% multiply(C,inverse(multiply(A,multiply(inverse(multiply(multiply(D,inverse(D)),B)),C))))
% <-> inverse(multiply(inverse(inverse(A)),inverse(B))) collapsed.
% Rule
% [253]
% multiply(inverse(multiply(A,multiply(B,C))),multiply(inverse(inverse(A)),
% multiply(multiply(D,inverse(D)),B)))
% -> inverse(C) collapsed.
% Rule
% [256]
% inverse(inverse(multiply(inverse(B),multiply(multiply(D,inverse(D)),C)))) <->
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(inverse(C),
% inverse(A))))))
% collapsed.
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [272]
% inverse(inverse(inverse(multiply(multiply(inverse(A),B),inverse(B))))) -> A
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [273]
% inverse(inverse(multiply(inverse(A),multiply(A,inverse(inverse(C)))))) -> C
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 105
% Rule [261]
% inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(D))))) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C))))))) is composed into
% [261]
% inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(D))))) <->
% multiply(inverse(A),inverse(multiply(B,inverse(inverse(inverse(multiply(A,D)))))))
% Rule [247]
% inverse(multiply(inverse(inverse(A)),inverse(B))) <->
% multiply(C,inverse(multiply(A,multiply(inverse(inverse(inverse(B))),C)))) is composed into
% [247]
% inverse(multiply(inverse(inverse(A)),inverse(B))) ->
% inverse(inverse(inverse(multiply(A,inverse(inverse(inverse(B)))))))
% Rule [237]
% multiply(inverse(A),B) <->
% multiply(C,inverse(multiply(inverse(inverse(inverse(B))),multiply(A,C)))) is composed into
% [237]
% multiply(inverse(A),B) <->
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(B))),A))))
% Rule [234]
% multiply(A,inverse(B)) <->
% multiply(C,inverse(multiply(B,multiply(inverse(inverse(inverse(A))),C)))) is composed into
% [234]
% multiply(A,inverse(B)) <->
% inverse(inverse(inverse(multiply(B,inverse(inverse(inverse(A)))))))
% Rule [219]
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(B,D),c3))) <->
% multiply(A,inverse(multiply(B,multiply(D,A)))) is composed into
% [219]
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(B,D),c3))) ->
% inverse(inverse(inverse(multiply(B,D))))
% Rule [213]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(
% multiply(B,C)))
% <-> multiply(D,inverse(multiply(B,multiply(C,D)))) is composed into
% [213]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,C)))
% -> inverse(inverse(inverse(multiply(B,C))))
% Rule [197]
% inverse(inverse(multiply(A,B))) <->
% multiply(C,inverse(multiply(inverse(B),multiply(inverse(A),C)))) is composed into
% [197]
% inverse(inverse(multiply(A,B))) <->
% inverse(inverse(inverse(multiply(inverse(B),inverse(A)))))
% Rule [183]
% multiply(inverse(inverse(D)),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C))))))) is composed into
% [183]
% multiply(inverse(inverse(D)),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,inverse(inverse(inverse(multiply(A,D)))))))
% Rule [174]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(A,inverse(multiply(B,multiply(C,A))))) is composed into
% [174]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) ->
% inverse(inverse(inverse(inverse(multiply(B,C)))))
% Rule [81]
% multiply(inverse(A),inverse(B)) <->
% multiply(C,inverse(multiply(B,multiply(A,C)))) is composed into
% [81]
% multiply(inverse(A),inverse(B)) <-> inverse(inverse(inverse(multiply(B,A))))
% New rule produced :
% [274]
% multiply(D,inverse(multiply(B,multiply(C,D)))) ->
% inverse(inverse(inverse(multiply(B,C))))
% Rule
% [12]
% multiply(D,inverse(multiply(B,multiply(C,D)))) <->
% multiply(A,inverse(multiply(B,multiply(C,A)))) collapsed.
% Rule
% [15]
% multiply(D,inverse(multiply(B,multiply(A,D)))) <->
% multiply(inverse(A),inverse(B)) collapsed.
% Rule
% [23]
% multiply(V_4,inverse(multiply(D,multiply(C,V_4)))) <->
% multiply(inverse(inverse(inverse(inverse(inverse(C))))),inverse(D))
% collapsed.
% Rule
% [127]
% multiply(D,inverse(multiply(A,multiply(C,D)))) <->
% inverse(multiply(inverse(inverse(A)),inverse(inverse(C)))) collapsed.
% Rule
% [154]
% multiply(A,inverse(multiply(B,multiply(multiply(D,inverse(multiply(V_4,
% multiply(B,D)))),A))))
% -> V_4 collapsed.
% Rule
% [160]
% multiply(A,inverse(multiply(multiply(B,inverse(multiply(C,multiply(D,B)))),
% multiply(C,A)))) -> D collapsed.
% Rule
% [171]
% inverse(inverse(multiply(multiply(C,inverse(multiply(D,multiply(B,C)))),D)))
% -> inverse(inverse(inverse(B))) collapsed.
% Rule
% [173]
% inverse(multiply(A,inverse(multiply(B,multiply(C,A))))) <->
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [179]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(A,multiply(D,B))))))
% -> D collapsed.
% Rule
% [182]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C)))))))
% <-> multiply(inverse(inverse(D)),inverse(B)) collapsed.
% Rule
% [186]
% multiply(V_4,inverse(multiply(B,multiply(inverse(D),V_4)))) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C)))))))
% collapsed.
% Rule
% [187]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C)))))))
% <-> multiply(V_4,inverse(multiply(B,multiply(inverse(D),V_4)))) collapsed.
% Rule
% [188]
% multiply(D,inverse(multiply(B,multiply(A,D)))) <->
% multiply(inverse(A),inverse(B)) collapsed.
% Rule
% [194]
% multiply(B,inverse(multiply(C,multiply(inverse(C),B)))) <->
% multiply(A,inverse(A)) collapsed.
% Rule
% [198]
% multiply(C,inverse(multiply(inverse(B),multiply(inverse(A),C)))) <->
% inverse(inverse(multiply(A,B))) collapsed.
% Rule
% [208]
% multiply(inverse(A),inverse(inverse(inverse(multiply(B,inverse(multiply(A,
% multiply(C,B))))))))
% -> inverse(inverse(C)) collapsed.
% Rule
% [212]
% multiply(D,inverse(multiply(B,multiply(C,D)))) <->
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,C)))
% collapsed.
% Rule
% [218]
% multiply(A,inverse(multiply(B,multiply(D,A)))) <->
% multiply(c3,inverse(multiply(B,multiply(D,c3)))) collapsed.
% Rule
% [225]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,inverse(multiply(A,
% multiply(C,B))))))
% -> C collapsed.
% Rule
% [235]
% multiply(C,inverse(multiply(inverse(inverse(inverse(B))),multiply(A,C)))) <->
% multiply(inverse(A),B) collapsed.
% Rule
% [236]
% multiply(C,inverse(multiply(B,multiply(inverse(inverse(inverse(A))),C)))) <->
% multiply(A,inverse(B)) collapsed.
% Rule
% [240]
% multiply(A,multiply(B,inverse(multiply(C,multiply(A,B))))) -> inverse(C)
% collapsed.
% Rule
% [242]
% multiply(D,inverse(multiply(inverse(inverse(A)),multiply(C,D)))) ->
% inverse(multiply(A,inverse(inverse(C)))) collapsed.
% Rule
% [243]
% inverse(inverse(inverse(multiply(A,inverse(multiply(B,multiply(C,A))))))) <->
% multiply(inverse(inverse(B)),inverse(inverse(C))) collapsed.
% Rule
% [250]
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(C,
% inverse(multiply(A,
% multiply(B,C))))))
% <-> multiply(D,inverse(D)) collapsed.
% Rule
% [251]
% multiply(inverse(multiply(multiply(A,inverse(multiply(B,multiply(C,A)))),B)),
% inverse(multiply(D,C))) -> inverse(inverse(inverse(D))) collapsed.
% Rule
% [252]
% multiply(inverse(multiply(A,B)),inverse(multiply(C,multiply(D,inverse(
% multiply(A,
% multiply(B,D)))))))
% -> inverse(inverse(inverse(C))) collapsed.
% Rule
% [255]
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(C,inverse(
% multiply(A,
% multiply(B,C))))))))
% <-> inverse(multiply(D,inverse(D))) collapsed.
% Rule
% [259]
% inverse(multiply(inverse(inverse(A)),multiply(B,inverse(multiply(C,multiply(D,B))))))
% <-> multiply(V_4,inverse(multiply(A,multiply(inverse(multiply(C,D)),V_4))))
% collapsed.
% Rule
% [260]
% multiply(V_4,inverse(multiply(A,multiply(inverse(multiply(C,D)),V_4)))) <->
% inverse(multiply(inverse(inverse(A)),multiply(B,inverse(multiply(C,multiply(D,B))))))
% collapsed.
% Rule
% [262]
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(multiply(A,
% multiply(D,C)))))))
% <-> inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(D)))))
% collapsed.
% Rule
% [263]
% multiply(inverse(multiply(A,multiply(B,C))),inverse(inverse(inverse(multiply(D,
% inverse(
% multiply(A,
% multiply(B,D))))))))
% -> inverse(C) collapsed.
% Rule
% [268]
% inverse(multiply(inverse(inverse(A)),inverse(inverse(multiply(B,inverse(
% multiply(C,
% multiply(A,B))))))))
% -> C collapsed.
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [275] multiply(inverse(A),multiply(A,D)) -> D
% Rule
% [269]
% inverse(inverse(multiply(inverse(inverse(A)),multiply(inverse(A),B)))) ->
% inverse(inverse(B)) collapsed.
% Rule
% [273]
% inverse(inverse(multiply(inverse(A),multiply(A,inverse(inverse(C)))))) -> C
% collapsed.
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [276]
% multiply(inverse(C),inverse(multiply(B,inverse(C)))) ->
% inverse(inverse(inverse(B)))
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 73
% Rule [237]
% multiply(inverse(A),B) <->
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(B))),A)))) is composed into
% [237]
% multiply(inverse(A),B) <-> inverse(multiply(inverse(B),inverse(inverse(A))))
% New rule produced :
% [277]
% inverse(inverse(inverse(multiply(inverse(inverse(A)),C)))) ->
% inverse(multiply(A,inverse(inverse(C))))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [278] multiply(inverse(inverse(inverse(A))),multiply(A,C)) -> C
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [279]
% multiply(inverse(inverse(B)),inverse(inverse(C))) ->
% inverse(inverse(multiply(B,C)))
% Rule
% [261]
% inverse(multiply(inverse(inverse(B)),inverse(inverse(inverse(D))))) <->
% multiply(inverse(A),inverse(multiply(B,inverse(inverse(inverse(multiply(A,D)))))))
% collapsed.
% Rule
% [270]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(inverse(B)))
% -> B collapsed.
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [280]
% multiply(inverse(A),inverse(inverse(multiply(A,C)))) -> inverse(inverse(C))
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [281]
% inverse(inverse(inverse(multiply(B,inverse(inverse(multiply(D,inverse(D))))))))
% -> inverse(inverse(inverse(B)))
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [282]
% inverse(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(B,C))))))
% -> inverse(C)
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [283]
% inverse(inverse(inverse(multiply(A,inverse(inverse(multiply(inverse(A),B)))))))
% -> inverse(B)
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 78
% Rule [183]
% multiply(inverse(inverse(D)),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,inverse(inverse(inverse(multiply(A,D))))))) is composed into
% [183]
% multiply(inverse(inverse(D)),inverse(B)) <->
% inverse(inverse(inverse(multiply(B,inverse(D)))))
% New rule produced :
% [284]
% multiply(inverse(A),inverse(multiply(B,inverse(inverse(inverse(multiply(A,D)))))))
% -> inverse(inverse(inverse(multiply(B,inverse(D)))))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [285]
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(C,
% inverse(C)))))))))
% -> B
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [286]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),inverse(inverse(
% multiply(C,
% inverse(C)))))))))
% -> inverse(inverse(inverse(B)))
% Rule
% [285]
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(C,
% inverse(C)))))))))
% -> B collapsed.
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [287]
% inverse(inverse(inverse(multiply(B,inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% <-> multiply(inverse(inverse(inverse(A))),inverse(B))
% Current number of equations to process: 891
% Current number of ordered equations: 3
% Current number of rules: 81
% New rule produced :
% [288]
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(
% inverse(
% multiply(C,
% inverse(C)))))),A))))
% <-> multiply(inverse(A),inverse(inverse(inverse(B))))
% Current number of equations to process: 891
% Current number of ordered equations: 2
% Current number of rules: 82
% New rule produced :
% [289]
% multiply(inverse(A),inverse(inverse(inverse(B)))) <->
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(
% inverse(
% multiply(C,
% inverse(C)))))),A))))
% Current number of equations to process: 891
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [290]
% multiply(inverse(inverse(inverse(A))),inverse(B)) <->
% inverse(inverse(inverse(multiply(B,inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [291]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(inverse(B),multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(C,
% inverse(C))))))))
% -> B
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [292]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(inverse(A),
% inverse(inverse(
% multiply(C,
% inverse(C))))))))
% -> inverse(inverse(inverse(B)))
% Rule
% [291]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(inverse(B),multiply(
% inverse(A),
% inverse(
% inverse(
% multiply(C,
% inverse(C))))))))
% -> B collapsed.
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [293]
% multiply(A,multiply(B,inverse(inverse(multiply(C,inverse(C)))))) ->
% multiply(A,B)
% Rule
% [292]
% multiply(inverse(inverse(inverse(A))),inverse(multiply(B,multiply(inverse(A),
% inverse(inverse(
% multiply(C,
% inverse(C))))))))
% -> inverse(inverse(inverse(B))) collapsed.
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 85
% Rule [199]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) <->
% multiply(inverse(inverse(multiply(C,inverse(C)))),inverse(B)) is composed into
% [199]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) ->
% inverse(inverse(inverse(B)))
% New rule produced :
% [294]
% multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(B)) ->
% inverse(inverse(inverse(B)))
% Rule
% [200]
% multiply(inverse(inverse(multiply(C,inverse(C)))),inverse(B)) <->
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) collapsed.
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [295]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) -> inverse(inverse(B))
% Rule
% [294]
% multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(B)) ->
% inverse(inverse(inverse(B))) collapsed.
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [296]
% inverse(multiply(B,A)) <-> inverse(inverse(multiply(inverse(A),inverse(B))))
% Rule
% [197]
% inverse(inverse(multiply(A,B))) <->
% inverse(inverse(inverse(multiply(inverse(B),inverse(A))))) collapsed.
% Rule
% [219]
% multiply(inverse(inverse(c3)),inverse(multiply(multiply(B,D),c3))) ->
% inverse(inverse(inverse(multiply(B,D)))) collapsed.
% Rule
% [272]
% inverse(inverse(inverse(multiply(multiply(inverse(A),B),inverse(B))))) -> A
% collapsed.
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [297]
% multiply(multiply(inverse(A),inverse(B)),inverse(multiply(inverse(C),
% inverse(multiply(B,A))))) ->
% C
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [298]
% inverse(inverse(inverse(multiply(C,inverse(multiply(B,A)))))) <->
% multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(B))))),inverse(C))
% Current number of equations to process: 891
% Current number of ordered equations: 3
% Current number of rules: 85
% New rule produced :
% [299]
% inverse(inverse(inverse(multiply(inverse(multiply(C,B)),A)))) <->
% multiply(inverse(A),inverse(inverse(inverse(multiply(inverse(B),inverse(C))))))
% Current number of equations to process: 891
% Current number of ordered equations: 2
% Current number of rules: 86
% New rule produced :
% [300]
% multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(B))))),inverse(C))
% <-> inverse(inverse(inverse(multiply(C,inverse(multiply(B,A))))))
% Current number of equations to process: 891
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [301]
% multiply(inverse(A),inverse(inverse(inverse(multiply(inverse(B),inverse(C))))))
% <-> inverse(inverse(inverse(multiply(inverse(multiply(C,B)),A))))
% Rule
% [210]
% multiply(inverse(multiply(A,multiply(B,C))),inverse(inverse(inverse(multiply(
% inverse(B),
% inverse(A))))))
% -> inverse(C) collapsed.
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [302]
% multiply(A,inverse(multiply(B,inverse(multiply(C,inverse(C)))))) ->
% multiply(A,inverse(B))
% Rule
% [205]
% multiply(inverse(A),inverse(multiply(B,inverse(multiply(C,inverse(C)))))) ->
% multiply(inverse(A),inverse(B)) collapsed.
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [303]
% multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(B))))),inverse(
% multiply(
% inverse(C),
% multiply(B,A))))
% -> C
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [304]
% inverse(inverse(inverse(multiply(inverse(C),inverse(B))))) <->
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(B,C))
% Current number of equations to process: 890
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [305]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(B,C)) <->
% inverse(inverse(inverse(multiply(inverse(C),inverse(B)))))
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [306]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(B)) ->
% inverse(inverse(inverse(B)))
% Rule
% [213]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(multiply(B,C)))
% -> inverse(inverse(inverse(multiply(B,C)))) collapsed.
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [307]
% multiply(multiply(A,B),inverse(multiply(C,B))) -> multiply(A,inverse(C))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [308]
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(A,C)) ->
% inverse(inverse(multiply(inverse(B),C)))
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [309]
% multiply(inverse(A),inverse(multiply(B,inverse(C)))) <->
% multiply(multiply(inverse(A),C),inverse(B))
% Current number of equations to process: 893
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [310]
% multiply(multiply(inverse(A),C),inverse(B)) <->
% multiply(inverse(A),inverse(multiply(B,inverse(C))))
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [311]
% inverse(inverse(inverse(multiply(multiply(A,B),multiply(inverse(B),C))))) <->
% multiply(inverse(inverse(inverse(C))),inverse(A))
% Current number of equations to process: 892
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [312]
% multiply(inverse(inverse(inverse(C))),inverse(A)) <->
% inverse(inverse(inverse(multiply(multiply(A,B),multiply(inverse(B),C)))))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [313]
% multiply(inverse(multiply(A,B)),inverse(multiply(C,inverse(inverse(inverse(A))))))
% -> multiply(inverse(inverse(inverse(B))),inverse(C))
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [314]
% multiply(inverse(inverse(multiply(A,inverse(C)))),inverse(B)) <->
% multiply(inverse(inverse(A)),inverse(multiply(B,C)))
% Current number of equations to process: 895
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [315]
% multiply(inverse(inverse(A)),inverse(multiply(B,C))) <->
% multiply(inverse(inverse(multiply(A,inverse(C)))),inverse(B))
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [316]
% multiply(inverse(multiply(inverse(inverse(A)),B)),inverse(inverse(multiply(C,
% inverse(C)))))
% -> multiply(inverse(inverse(inverse(B))),inverse(A))
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [317]
% multiply(inverse(inverse(inverse(multiply(A,inverse(multiply(C,inverse(C))))))),
% inverse(B)) -> multiply(inverse(inverse(inverse(A))),inverse(B))
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [318]
% inverse(inverse(inverse(multiply(multiply(A,B),multiply(inverse(B),multiply(
% inverse(A),B))))))
% -> inverse(B)
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [319] inverse(multiply(inverse(B),inverse(A))) <-> multiply(A,B)
% Current number of equations to process: 894
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [320] multiply(A,B) <-> inverse(multiply(inverse(B),inverse(A)))
% Rule
% [125]
% multiply(multiply(inverse(inverse(A)),inverse(multiply(B,A))),B) <->
% multiply(C,inverse(C)) collapsed.
% Rule
% [223]
% multiply(inverse(C),A) <-> inverse(multiply(inverse(A),inverse(inverse(C))))
% collapsed.
% Rule
% [231] multiply(inverse(inverse(inverse(B))),B) <-> multiply(D,inverse(D))
% collapsed.
% Rule
% [237]
% multiply(inverse(A),B) <-> inverse(multiply(inverse(B),inverse(inverse(A))))
% collapsed.
% Rule
% [265]
% multiply(multiply(inverse(inverse(inverse(multiply(A,multiply(B,C))))),
% inverse(multiply(inverse(B),inverse(A)))),C) <->
% multiply(D,inverse(D)) collapsed.
% Rule
% [296]
% inverse(multiply(B,A)) <-> inverse(inverse(multiply(inverse(A),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: 894
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [321]
% inverse(multiply(inverse(A),multiply(multiply(A,B),multiply(inverse(B),
% inverse(C))))) -> C
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 99
% Rule [298]
% inverse(inverse(inverse(multiply(C,inverse(multiply(B,A)))))) <->
% multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(B))))),
% inverse(C)) is composed into [298]
% inverse(inverse(inverse(multiply(C,
% inverse(multiply(B,A))))))
% <->
% inverse(inverse(multiply(B,multiply(A,
% inverse(C)))))
% New rule produced :
% [322]
% multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(B))))),inverse(C))
% -> inverse(inverse(multiply(B,multiply(A,inverse(C)))))
% Rule
% [300]
% multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(B))))),inverse(C))
% <-> inverse(inverse(inverse(multiply(C,inverse(multiply(B,A)))))) collapsed.
% Rule
% [303]
% multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(B))))),inverse(
% multiply(
% inverse(C),
% multiply(B,A))))
% -> C collapsed.
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [323]
% inverse(multiply(C,inverse(C))) <->
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(inverse(B),
% inverse(A))))
% Current number of equations to process: 894
% Current number of ordered equations: 1
% Current number of rules: 99
% Rule [323]
% inverse(multiply(C,inverse(C))) <->
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(
% inverse(B),
% inverse(A)))) is composed into
% [323] inverse(multiply(C,inverse(C))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [324]
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(inverse(B),
% inverse(A)))) <->
% inverse(multiply(C,inverse(C)))
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [325] inverse(multiply(A,inverse(multiply(B,A)))) -> B
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [326]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(B,inverse(C)))))
% -> C
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [327]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(inverse(inverse(C))))
% -> multiply(B,multiply(A,inverse(C)))
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [328]
% multiply(A,inverse(multiply(B,inverse(inverse(multiply(C,multiply(D,A)))))))
% <-> multiply(multiply(inverse(D),inverse(C)),inverse(B))
% Current number of equations to process: 906
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [329]
% multiply(multiply(inverse(D),inverse(C)),inverse(B)) <->
% multiply(A,inverse(multiply(B,inverse(inverse(multiply(C,multiply(D,A)))))))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [330]
% multiply(inverse(inverse(inverse(multiply(A,inverse(B))))),inverse(multiply(
% inverse(C),
% inverse(A))))
% -> inverse(inverse(multiply(B,C)))
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [331]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,C))))),inverse(
% multiply(
% inverse(B),
% inverse(A))))
% -> inverse(inverse(inverse(C)))
% Rule
% [226]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,inverse(C)))))),
% inverse(multiply(inverse(B),inverse(A)))) -> C collapsed.
% Rule
% [232]
% inverse(multiply(inverse(inverse(inverse(multiply(A,multiply(B,C))))),
% inverse(multiply(inverse(B),inverse(A))))) -> C collapsed.
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 105
% Rule [316]
% multiply(inverse(multiply(inverse(inverse(A)),B)),inverse(inverse(
% multiply(C,
% inverse(C)))))
% -> multiply(inverse(inverse(inverse(B))),inverse(A)) is composed into
% [316]
% multiply(inverse(multiply(inverse(inverse(A)),B)),inverse(inverse(multiply(C,
% inverse(C)))))
% -> inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(A))))))
% Rule [313]
% multiply(inverse(multiply(A,B)),inverse(multiply(C,inverse(inverse(
% inverse(A))))))
% -> multiply(inverse(inverse(inverse(B))),inverse(C)) is composed into
% [313]
% multiply(inverse(multiply(A,B)),inverse(multiply(C,inverse(inverse(inverse(A))))))
% -> inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(C))))))
% Rule [311]
% inverse(inverse(inverse(multiply(multiply(A,B),multiply(inverse(B),C)))))
% <-> multiply(inverse(inverse(inverse(C))),inverse(A)) is composed into
% [311]
% inverse(inverse(inverse(multiply(multiply(A,B),multiply(inverse(B),C))))) <->
% inverse(inverse(multiply(inverse(C),inverse(inverse(inverse(A))))))
% Rule [287]
% inverse(inverse(inverse(multiply(B,inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% <-> multiply(inverse(inverse(inverse(A))),inverse(B)) is composed into
% [287]
% inverse(inverse(inverse(multiply(B,inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% <-> inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(B))))))
% Rule [245]
% inverse(multiply(inverse(inverse(B)),A)) <->
% multiply(inverse(inverse(inverse(A))),inverse(B)) is composed into
% [245]
% inverse(multiply(inverse(inverse(B)),A)) <->
% inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(B))))))
% Rule [216]
% multiply(inverse(multiply(inverse(A),B)),inverse(multiply(C,A))) ->
% multiply(inverse(inverse(inverse(B))),inverse(C)) is composed into
% [216]
% multiply(inverse(multiply(inverse(A),B)),inverse(multiply(C,A))) ->
% inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(C))))))
% New rule produced :
% [332]
% multiply(inverse(inverse(inverse(A))),inverse(B)) ->
% inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(B))))))
% Rule
% [246]
% multiply(inverse(inverse(inverse(A))),inverse(B)) <->
% inverse(multiply(inverse(inverse(B)),A)) collapsed.
% Rule
% [290]
% multiply(inverse(inverse(inverse(A))),inverse(B)) <->
% inverse(inverse(inverse(multiply(B,inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% collapsed.
% Rule
% [306]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),inverse(B)) ->
% inverse(inverse(inverse(B))) collapsed.
% Rule
% [312]
% multiply(inverse(inverse(inverse(C))),inverse(A)) <->
% inverse(inverse(inverse(multiply(multiply(A,B),multiply(inverse(B),C)))))
% collapsed.
% Rule
% [317]
% multiply(inverse(inverse(inverse(multiply(A,inverse(multiply(C,inverse(C))))))),
% inverse(B)) -> multiply(inverse(inverse(inverse(A))),inverse(B)) collapsed.
% Rule
% [322]
% multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(B))))),inverse(C))
% -> inverse(inverse(multiply(B,multiply(A,inverse(C))))) collapsed.
% Rule
% [324]
% multiply(inverse(inverse(inverse(multiply(A,B)))),inverse(multiply(inverse(B),
% inverse(A)))) <->
% inverse(multiply(C,inverse(C))) collapsed.
% Rule
% [330]
% multiply(inverse(inverse(inverse(multiply(A,inverse(B))))),inverse(multiply(
% inverse(C),
% inverse(A))))
% -> inverse(inverse(multiply(B,C))) collapsed.
% Rule
% [331]
% multiply(inverse(inverse(inverse(multiply(A,multiply(B,C))))),inverse(
% multiply(
% inverse(B),
% inverse(A))))
% -> inverse(inverse(inverse(C))) collapsed.
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [333]
% inverse(multiply(A,inverse(inverse(inverse(A))))) <->
% multiply(c3,inverse(c3))
% Current number of equations to process: 906
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [334]
% multiply(c3,inverse(c3)) <->
% inverse(multiply(A,inverse(inverse(inverse(A)))))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [335]
% inverse(inverse(inverse(multiply(A,inverse(inverse(inverse(A))))))) <->
% multiply(c3,inverse(c3))
% Current number of equations to process: 906
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [336]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(multiply(A,inverse(inverse(inverse(A)))))))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [337]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(inverse(inverse(multiply(B,inverse(inverse(inverse(B)))))))
% Current number of equations to process: 906
% Current number of ordered equations: 1
% Current number of rules: 102
% Rule [336]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(multiply(A,inverse(inverse(inverse(A))))))) is composed into
% [336]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(multiply(A,inverse(A)))))
% New rule produced :
% [338]
% inverse(inverse(inverse(multiply(B,inverse(inverse(inverse(B))))))) <->
% inverse(inverse(inverse(multiply(A,inverse(A)))))
% Rule
% [335]
% inverse(inverse(inverse(multiply(A,inverse(inverse(inverse(A))))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [339]
% inverse(inverse(inverse(multiply(B,inverse(inverse(inverse(B))))))) <->
% multiply(A,inverse(A))
% Current number of equations to process: 906
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [340]
% multiply(A,inverse(A)) <->
% inverse(inverse(inverse(multiply(B,inverse(inverse(inverse(B)))))))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [341]
% inverse(multiply(B,inverse(A))) <-> multiply(A,inverse(inverse(inverse(B))))
% Current number of equations to process: 906
% Current number of ordered equations: 1
% Current number of rules: 105
% Rule [340]
% multiply(A,inverse(A)) <->
% inverse(inverse(inverse(multiply(B,inverse(inverse(inverse(B))))))) is composed into
% [340]
% multiply(A,inverse(A)) <->
% inverse(inverse(inverse(inverse(multiply(B,inverse(B))))))
% Rule [337]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(inverse(inverse(multiply(B,inverse(inverse(inverse(B))))))) is composed into
% [337]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(inverse(inverse(inverse(multiply(B,inverse(B))))))
% Rule [334]
% multiply(c3,inverse(c3)) <->
% inverse(multiply(A,inverse(inverse(inverse(A))))) is composed into
% [334] multiply(c3,inverse(c3)) <-> inverse(inverse(multiply(A,inverse(A))))
% New rule produced :
% [342]
% multiply(A,inverse(inverse(inverse(B)))) <-> inverse(multiply(B,inverse(A)))
% Rule
% [333]
% inverse(multiply(A,inverse(inverse(inverse(A))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [338]
% inverse(inverse(inverse(multiply(B,inverse(inverse(inverse(B))))))) <->
% inverse(inverse(inverse(multiply(A,inverse(A))))) collapsed.
% Rule
% [339]
% inverse(inverse(inverse(multiply(B,inverse(inverse(inverse(B))))))) <->
% multiply(A,inverse(A)) collapsed.
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [343]
% multiply(A,inverse(multiply(B,C))) <->
% multiply(multiply(A,inverse(inverse(inverse(C)))),inverse(B))
% Current number of equations to process: 907
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [344]
% multiply(multiply(A,inverse(inverse(inverse(C)))),inverse(B)) <->
% multiply(A,inverse(multiply(B,C)))
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [345] multiply(A,multiply(inverse(A),B)) -> B
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [346]
% inverse(inverse(multiply(inverse(B),A))) <->
% inverse(multiply(inverse(inverse(inverse(A))),B))
% Current number of equations to process: 917
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [347]
% inverse(multiply(inverse(inverse(inverse(A))),B)) <->
% inverse(inverse(multiply(inverse(B),A)))
% Current number of equations to process: 917
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [348]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),inverse(A)))))
% <->
% inverse(inverse(multiply(A,multiply(inverse(B),inverse(inverse(inverse(C)))))))
% Current number of equations to process: 924
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [349]
% inverse(inverse(multiply(A,multiply(inverse(B),inverse(inverse(inverse(C)))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),inverse(A)))))
% Current number of equations to process: 924
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [350]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),inverse(B)))),C)),D)
% -> multiply(inverse(inverse(inverse(C))),multiply(B,multiply(A,D)))
% Current number of equations to process: 923
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [351]
% multiply(multiply(inverse(inverse(A)),B),inverse(inverse(multiply(inverse(B),
% inverse(inverse(
% inverse(A)))))))
% <-> multiply(C,inverse(C))
% Current number of equations to process: 922
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [352]
% inverse(inverse(inverse(multiply(C,multiply(inverse(inverse(B)),A))))) <->
% multiply(inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(B)))))),
% inverse(C))
% Current number of equations to process: 918
% Current number of ordered equations: 3
% Current number of rules: 113
% New rule produced :
% [353]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),A)))) <->
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),inverse(inverse(
% inverse(C)))))))
% Current number of equations to process: 918
% Current number of ordered equations: 2
% Current number of rules: 114
% New rule produced :
% [354]
% multiply(inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(B)))))),
% inverse(C)) <->
% inverse(inverse(inverse(multiply(C,multiply(inverse(inverse(B)),A)))))
% Current number of equations to process: 918
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [355]
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),inverse(inverse(
% inverse(C)))))))
% <-> inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),A))))
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [356]
% inverse(inverse(inverse(multiply(multiply(inverse(A),inverse(B)),inverse(
% inverse(
% multiply(B,
% multiply(A,
% inverse(C)))))))))
% -> C
% Current number of equations to process: 916
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [357]
% inverse(inverse(inverse(multiply(inverse(A),multiply(multiply(A,inverse(B)),
% inverse(inverse(multiply(B,
% inverse(C)))))))))
% -> C
% Current number of equations to process: 915
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [358]
% multiply(multiply(A,inverse(inverse(inverse(B)))),inverse(multiply(C,
% multiply(inverse(
% inverse(A)),
% inverse(B))))) ->
% inverse(inverse(inverse(C)))
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 119
% Rule [352]
% inverse(inverse(inverse(multiply(C,multiply(inverse(inverse(B)),A)))))
% <->
% multiply(inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(B)))))),
% inverse(C)) is composed into [352]
% inverse(inverse(inverse(multiply(C,
% multiply(inverse(
% inverse(B)),A)))))
% <->
% inverse(inverse(multiply(multiply(inverse(A),
% inverse(inverse(
% inverse(B)))),
% inverse(inverse(inverse(C))))))
% New rule produced :
% [359]
% multiply(inverse(inverse(A)),inverse(B)) ->
% inverse(inverse(multiply(A,inverse(inverse(inverse(B))))))
% Rule [122] multiply(inverse(inverse(A)),inverse(multiply(inverse(C),A))) -> C
% collapsed.
% Rule [123] inverse(multiply(inverse(inverse(A)),inverse(multiply(C,A)))) -> C
% collapsed.
% Rule
% [140]
% multiply(inverse(inverse(B)),inverse(multiply(A,B))) ->
% inverse(inverse(inverse(A))) collapsed.
% Rule
% [156]
% multiply(inverse(inverse(A)),inverse(multiply(C,A))) <->
% multiply(inverse(inverse(D)),inverse(multiply(C,D))) collapsed.
% Rule
% [183]
% multiply(inverse(inverse(D)),inverse(B)) <->
% inverse(inverse(inverse(multiply(B,inverse(D))))) collapsed.
% Rule
% [199]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) ->
% inverse(inverse(inverse(B))) collapsed.
% Rule
% [220]
% multiply(inverse(inverse(A)),inverse(multiply(B,A))) ->
% inverse(inverse(inverse(B))) collapsed.
% Rule
% [247]
% inverse(multiply(inverse(inverse(A)),inverse(B))) ->
% inverse(inverse(inverse(multiply(A,inverse(inverse(inverse(B)))))))
% collapsed.
% Rule
% [279]
% multiply(inverse(inverse(B)),inverse(inverse(C))) ->
% inverse(inverse(multiply(B,C))) collapsed.
% Rule
% [314]
% multiply(inverse(inverse(multiply(A,inverse(C)))),inverse(B)) <->
% multiply(inverse(inverse(A)),inverse(multiply(B,C))) collapsed.
% Rule
% [315]
% multiply(inverse(inverse(A)),inverse(multiply(B,C))) <->
% multiply(inverse(inverse(multiply(A,inverse(C)))),inverse(B)) collapsed.
% Rule
% [332]
% multiply(inverse(inverse(inverse(A))),inverse(B)) ->
% inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(B))))))
% collapsed.
% Rule
% [354]
% multiply(inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(B)))))),
% inverse(C)) <->
% inverse(inverse(inverse(multiply(C,multiply(inverse(inverse(B)),A)))))
% collapsed.
% Rule
% [358]
% multiply(multiply(A,inverse(inverse(inverse(B)))),inverse(multiply(C,
% multiply(inverse(
% inverse(A)),
% inverse(B))))) ->
% inverse(inverse(inverse(C))) collapsed.
% Current number of equations to process: 917
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [360]
% inverse(inverse(multiply(A,inverse(inverse(inverse(multiply(B,C))))))) <->
% inverse(inverse(multiply(multiply(A,inverse(C)),inverse(inverse(inverse(B))))))
% Current number of equations to process: 916
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [361]
% inverse(inverse(multiply(multiply(A,inverse(C)),inverse(inverse(inverse(B))))))
% <-> inverse(inverse(multiply(A,inverse(inverse(inverse(multiply(B,C)))))))
% Current number of equations to process: 916
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [362]
% inverse(inverse(multiply(inverse(C),inverse(B)))) <->
% inverse(inverse(inverse(multiply(A,inverse(inverse(multiply(multiply(
% inverse(A),B),
% inverse(inverse(C)))))))))
% Current number of equations to process: 914
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [363]
% inverse(inverse(inverse(multiply(A,inverse(inverse(multiply(multiply(
% inverse(A),B),
% inverse(inverse(C)))))))))
% <-> inverse(inverse(multiply(inverse(C),inverse(B))))
% Current number of equations to process: 914
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [364]
% inverse(inverse(multiply(inverse(multiply(A,inverse(inverse(multiply(
% inverse(B),
% inverse(inverse(
% inverse(C)))))))),
% inverse(inverse(inverse(multiply(B,inverse(A)))))))) -> C
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [365]
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(multiply(inverse(A),
% inverse(inverse(
% inverse(C)))))))
% -> inverse(inverse(multiply(inverse(B),inverse(C))))
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),inverse(
% inverse(
% inverse(A)))))))
% <->
% multiply(A,inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(C)))))))
% Current number of equations to process: 910
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [367]
% multiply(A,inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(C)))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),inverse(
% inverse(
% inverse(A)))))))
% Current number of equations to process: 910
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [368]
% inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(
% inverse(
% inverse(B))))))),C))
% <->
% inverse(inverse(multiply(inverse(C),inverse(multiply(B,inverse(inverse(A)))))))
% Current number of equations to process: 909
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [369]
% inverse(inverse(multiply(inverse(C),inverse(multiply(B,inverse(inverse(A)))))))
% <->
% inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(
% inverse(
% inverse(B))))))),C))
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 116
% Rule [369]
% inverse(inverse(multiply(inverse(C),inverse(multiply(B,inverse(inverse(A)))))))
% <->
% inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(
% inverse(
% inverse(B))))))),C)) is composed into
% [369]
% inverse(inverse(multiply(inverse(C),inverse(multiply(B,inverse(inverse(A)))))))
% <->
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(
% inverse(
% inverse(B))))),
% inverse(inverse(C))))))
% Rule [350]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),inverse(B)))),C)),D)
% -> multiply(inverse(inverse(inverse(C))),multiply(B,multiply(A,D))) is composed into
% [350]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),inverse(B)))),C)),D)
% ->
% inverse(inverse(multiply(inverse(C),inverse(inverse(multiply(B,multiply(A,D)))))))
% Rule [346]
% inverse(inverse(multiply(inverse(B),A))) <->
% inverse(multiply(inverse(inverse(inverse(A))),B)) is composed into
% [346]
% inverse(inverse(multiply(inverse(B),A))) <->
% inverse(inverse(inverse(multiply(inverse(A),inverse(inverse(B))))))
% Rule [304]
% inverse(inverse(inverse(multiply(inverse(C),inverse(B))))) <->
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(B,C)) is composed into
% [304]
% inverse(inverse(inverse(multiply(inverse(C),inverse(B))))) <->
% inverse(inverse(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(
% multiply(B,C))))))
% New rule produced :
% [370]
% multiply(inverse(inverse(inverse(A))),B) ->
% inverse(inverse(multiply(inverse(A),inverse(inverse(B)))))
% Rule [278] multiply(inverse(inverse(inverse(A))),multiply(A,C)) -> C
% collapsed.
% Rule
% [305]
% multiply(inverse(inverse(inverse(multiply(A,inverse(A))))),multiply(B,C)) <->
% inverse(inverse(inverse(multiply(inverse(C),inverse(B))))) collapsed.
% Rule
% [347]
% inverse(multiply(inverse(inverse(inverse(A))),B)) <->
% inverse(inverse(multiply(inverse(B),A))) collapsed.
% Rule
% [368]
% inverse(multiply(inverse(inverse(inverse(multiply(inverse(A),inverse(
% inverse(
% inverse(B))))))),C))
% <->
% inverse(inverse(multiply(inverse(C),inverse(multiply(B,inverse(inverse(A)))))))
% collapsed.
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [371]
% multiply(inverse(multiply(A,B)),inverse(inverse(multiply(A,C)))) ->
% inverse(inverse(multiply(inverse(B),inverse(inverse(C)))))
% Rule
% [365]
% multiply(inverse(multiply(inverse(A),B)),inverse(inverse(multiply(inverse(A),
% inverse(inverse(
% inverse(C)))))))
% -> inverse(inverse(multiply(inverse(B),inverse(C)))) collapsed.
% Current number of equations to process: 914
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [372]
% multiply(multiply(A,B),inverse(inverse(inverse(multiply(inverse(C),inverse(
% inverse(B)))))))
% -> multiply(A,C)
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [373]
% inverse(inverse(multiply(inverse(C),inverse(inverse(A))))) <->
% inverse(multiply(multiply(inverse(A),inverse(B)),inverse(inverse(multiply(B,C)))))
% Current number of equations to process: 912
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [374]
% inverse(multiply(multiply(inverse(A),inverse(B)),inverse(inverse(multiply(B,C)))))
% <-> inverse(inverse(multiply(inverse(C),inverse(inverse(A)))))
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [375]
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(C,inverse(A))))))
% -> inverse(inverse(multiply(inverse(B),inverse(C))))
% Rule
% [257]
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(inverse(C),
% inverse(A)))))) ->
% inverse(inverse(multiply(inverse(B),inverse(inverse(C))))) collapsed.
% Rule
% [364]
% inverse(inverse(multiply(inverse(multiply(A,inverse(inverse(multiply(
% inverse(B),
% inverse(inverse(
% inverse(C)))))))),
% inverse(inverse(inverse(multiply(B,inverse(A)))))))) -> C
% collapsed.
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [376]
% inverse(multiply(c3,inverse(multiply(A,inverse(multiply(inverse(c3),inverse(
% inverse(
% multiply(B,A)))))))))
% -> inverse(inverse(inverse(B)))
% Current number of equations to process: 917
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [377]
% multiply(c3,inverse(multiply(B,inverse(multiply(inverse(c3),inverse(inverse(
% inverse(
% multiply(
% inverse(B),A)))))))))
% -> inverse(A)
% Rule
% [258]
% inverse(multiply(c3,inverse(multiply(A,inverse(multiply(inverse(c3),inverse(
% inverse(
% inverse(
% multiply(
% inverse(A),B))))))))))
% -> inverse(inverse(B)) collapsed.
% Current number of equations to process: 919
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [378]
% inverse(inverse(multiply(inverse(B),A))) <-> inverse(multiply(inverse(A),B))
% Current number of equations to process: 920
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [379]
% inverse(multiply(inverse(A),B)) <-> inverse(inverse(multiply(inverse(B),A)))
% Current number of equations to process: 920
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [380]
% inverse(inverse(inverse(multiply(A,B)))) <->
% inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(A))))))
% Current number of equations to process: 919
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [381]
% inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(A)))))) <->
% inverse(inverse(inverse(multiply(A,B))))
% Current number of equations to process: 919
% Current number of ordered equations: 0
% Current number of rules: 120
% Rule [379]
% inverse(multiply(inverse(A),B)) <->
% inverse(inverse(multiply(inverse(B),A))) is composed into [379]
% inverse(
% multiply(
% inverse(A),B))
% <->
% multiply(
% inverse(B),A)
% Rule [343]
% multiply(A,inverse(multiply(B,C))) <->
% multiply(multiply(A,inverse(inverse(inverse(C)))),inverse(B)) is composed into
% [343]
% multiply(A,inverse(multiply(B,C))) <->
% multiply(multiply(A,inverse(C)),inverse(B))
% Rule [341]
% inverse(multiply(B,inverse(A))) <->
% multiply(A,inverse(inverse(inverse(B)))) is composed into [341]
% inverse(
% multiply(B,
% inverse(A)))
% <->
% multiply(A,
% inverse(B))
% Rule [340]
% multiply(A,inverse(A)) <->
% inverse(inverse(inverse(inverse(multiply(B,inverse(B)))))) is composed into
% [340] multiply(A,inverse(A)) <-> multiply(B,inverse(B))
% Rule [336]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(multiply(A,inverse(A))))) is composed into
% [336] multiply(c3,inverse(c3)) <-> inverse(multiply(A,inverse(A)))
% Rule [334]
% multiply(c3,inverse(c3)) <-> inverse(inverse(multiply(A,inverse(A)))) is composed into
% [334] multiply(c3,inverse(c3)) <-> multiply(A,inverse(A))
% Rule [329]
% multiply(multiply(inverse(D),inverse(C)),inverse(B)) <->
% multiply(A,inverse(multiply(B,inverse(inverse(multiply(C,multiply(D,A))))))) is composed into
% [329]
% multiply(multiply(inverse(D),inverse(C)),inverse(B)) <->
% multiply(A,inverse(multiply(B,multiply(C,multiply(D,A)))))
% Rule [276]
% multiply(inverse(C),inverse(multiply(B,inverse(C)))) ->
% inverse(inverse(inverse(B))) is composed into [276]
% multiply(inverse(C),
% inverse(multiply(B,
% inverse(C)))) ->
% inverse(B)
% Rule [274]
% multiply(D,inverse(multiply(B,multiply(C,D)))) ->
% inverse(inverse(inverse(multiply(B,C)))) is composed into [274]
% multiply(D,
% inverse(
% multiply(B,
% multiply(C,D))))
% ->
% inverse(
% multiply(B,C))
% Rule [271] multiply(multiply(A,inverse(A)),B) -> inverse(inverse(B)) is composed into
% [271] multiply(multiply(A,inverse(A)),B) -> B
% Rule [238] multiply(inverse(multiply(A,inverse(A))),B) -> inverse(inverse(B)) is composed into
% [238] multiply(inverse(multiply(A,inverse(A))),B) -> B
% Rule [234]
% multiply(A,inverse(B)) <->
% inverse(inverse(inverse(multiply(B,inverse(inverse(inverse(A))))))) is composed into
% [234] multiply(A,inverse(B)) <-> inverse(multiply(B,inverse(A)))
% Rule [216]
% multiply(inverse(multiply(inverse(A),B)),inverse(multiply(C,A))) ->
% inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(C)))))) is composed into
% [216]
% multiply(inverse(multiply(inverse(A),B)),inverse(multiply(C,A))) ->
% multiply(inverse(B),inverse(C))
% Rule [174]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) ->
% inverse(inverse(inverse(inverse(multiply(B,C))))) is composed into
% [174]
% multiply(B,multiply(C,inverse(multiply(D,inverse(D))))) -> multiply(B,C)
% Rule [117]
% multiply(C,inverse(C)) <->
% inverse(inverse(inverse(multiply(A,inverse(A))))) is composed into
% [117] multiply(C,inverse(C)) <-> inverse(multiply(A,inverse(A)))
% Rule [81]
% multiply(inverse(A),inverse(B)) <->
% inverse(inverse(inverse(multiply(B,A)))) is composed into [81]
% multiply(
% inverse(A),
% inverse(B))
% <->
% inverse(
% multiply(B,A))
% New rule produced : [382] inverse(inverse(A)) -> A
% Rule
% [30] inverse(inverse(multiply(A,inverse(A)))) <-> multiply(c3,inverse(c3))
% collapsed.
% Rule
% [59] inverse(inverse(multiply(A,inverse(A)))) <-> multiply(c3,inverse(c3))
% collapsed.
% Rule
% [82] inverse(inverse(multiply(C,inverse(C)))) <-> multiply(c3,inverse(c3))
% collapsed.
% Rule
% [108] inverse(inverse(multiply(A,inverse(A)))) <-> multiply(B,inverse(B))
% collapsed.
% Rule
% [116]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <-> multiply(C,inverse(C))
% collapsed.
% Rule
% [119] inverse(inverse(multiply(A,inverse(A)))) <-> multiply(c3,inverse(c3))
% collapsed.
% Rule [124] inverse(inverse(inverse(inverse(A)))) -> A collapsed.
% Rule
% [143]
% inverse(inverse(multiply(inverse(B),inverse(inverse(multiply(C,inverse(C)))))))
% -> inverse(inverse(inverse(B))) collapsed.
% Rule
% [184]
% inverse(inverse(multiply(A,inverse(A)))) <->
% inverse(inverse(multiply(c3,inverse(c3)))) collapsed.
% Rule [196] multiply(B,inverse(inverse(inverse(multiply(A,B))))) -> inverse(A)
% collapsed.
% Rule
% [239]
% multiply(B,inverse(multiply(A,inverse(inverse(B))))) ->
% inverse(inverse(inverse(A))) collapsed.
% Rule
% [245]
% inverse(multiply(inverse(inverse(B)),A)) <->
% inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(B))))))
% collapsed.
% Rule
% [277]
% inverse(inverse(inverse(multiply(inverse(inverse(A)),C)))) ->
% inverse(multiply(A,inverse(inverse(C)))) collapsed.
% Rule
% [280]
% multiply(inverse(A),inverse(inverse(multiply(A,C)))) -> inverse(inverse(C))
% collapsed.
% Rule
% [281]
% inverse(inverse(inverse(multiply(B,inverse(inverse(multiply(D,inverse(D))))))))
% -> inverse(inverse(inverse(B))) collapsed.
% Rule
% [282]
% inverse(inverse(inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(B,C))))))
% -> inverse(C) collapsed.
% Rule
% [283]
% inverse(inverse(inverse(multiply(A,inverse(inverse(multiply(inverse(A),B)))))))
% -> inverse(B) collapsed.
% Rule
% [284]
% multiply(inverse(A),inverse(multiply(B,inverse(inverse(inverse(multiply(A,D)))))))
% -> inverse(inverse(inverse(multiply(B,inverse(D))))) collapsed.
% Rule
% [286]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(A),inverse(inverse(
% multiply(C,
% inverse(C)))))))))
% -> inverse(inverse(inverse(B))) collapsed.
% Rule
% [287]
% inverse(inverse(inverse(multiply(B,inverse(multiply(inverse(A),inverse(
% inverse(
% multiply(C,
% inverse(C))))))))))
% <-> inverse(inverse(multiply(inverse(A),inverse(inverse(inverse(B))))))
% collapsed.
% Rule
% [288]
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(
% inverse(
% multiply(C,
% inverse(C)))))),A))))
% <-> multiply(inverse(A),inverse(inverse(inverse(B)))) collapsed.
% Rule
% [289]
% multiply(inverse(A),inverse(inverse(inverse(B)))) <->
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(B),inverse(
% inverse(
% multiply(C,
% inverse(C)))))),A))))
% collapsed.
% Rule
% [293]
% multiply(A,multiply(B,inverse(inverse(multiply(C,inverse(C)))))) ->
% multiply(A,B) collapsed.
% Rule
% [295]
% multiply(inverse(inverse(multiply(A,inverse(A)))),B) -> inverse(inverse(B))
% collapsed.
% Rule
% [298]
% inverse(inverse(inverse(multiply(C,inverse(multiply(B,A)))))) <->
% inverse(inverse(multiply(B,multiply(A,inverse(C))))) collapsed.
% Rule
% [299]
% inverse(inverse(inverse(multiply(inverse(multiply(C,B)),A)))) <->
% multiply(inverse(A),inverse(inverse(inverse(multiply(inverse(B),inverse(C))))))
% collapsed.
% Rule
% [301]
% multiply(inverse(A),inverse(inverse(inverse(multiply(inverse(B),inverse(C))))))
% <-> inverse(inverse(inverse(multiply(inverse(multiply(C,B)),A)))) collapsed.
% Rule
% [304]
% inverse(inverse(inverse(multiply(inverse(C),inverse(B))))) <->
% inverse(inverse(multiply(inverse(multiply(A,inverse(A))),inverse(inverse(
% multiply(B,C))))))
% collapsed.
% Rule
% [308]
% multiply(inverse(multiply(inverse(inverse(A)),B)),multiply(A,C)) ->
% inverse(inverse(multiply(inverse(B),C))) collapsed.
% Rule
% [311]
% inverse(inverse(inverse(multiply(multiply(A,B),multiply(inverse(B),C))))) <->
% inverse(inverse(multiply(inverse(C),inverse(inverse(inverse(A))))))
% collapsed.
% Rule
% [313]
% multiply(inverse(multiply(A,B)),inverse(multiply(C,inverse(inverse(inverse(A))))))
% -> inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(C))))))
% collapsed.
% Rule
% [316]
% multiply(inverse(multiply(inverse(inverse(A)),B)),inverse(inverse(multiply(C,
% inverse(C)))))
% -> inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(A))))))
% collapsed.
% Rule
% [318]
% inverse(inverse(inverse(multiply(multiply(A,B),multiply(inverse(B),multiply(
% inverse(A),B))))))
% -> inverse(B) collapsed.
% Rule
% [327]
% multiply(inverse(multiply(inverse(A),inverse(B))),inverse(inverse(inverse(C))))
% -> multiply(B,multiply(A,inverse(C))) collapsed.
% Rule
% [328]
% multiply(A,inverse(multiply(B,inverse(inverse(multiply(C,multiply(D,A)))))))
% <-> multiply(multiply(inverse(D),inverse(C)),inverse(B)) collapsed.
% Rule
% [337]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <->
% inverse(inverse(inverse(inverse(multiply(B,inverse(B)))))) collapsed.
% Rule
% [342]
% multiply(A,inverse(inverse(inverse(B)))) <-> inverse(multiply(B,inverse(A)))
% collapsed.
% Rule
% [344]
% multiply(multiply(A,inverse(inverse(inverse(C)))),inverse(B)) <->
% multiply(A,inverse(multiply(B,C))) collapsed.
% Rule
% [346]
% inverse(inverse(multiply(inverse(B),A))) <->
% inverse(inverse(inverse(multiply(inverse(A),inverse(inverse(B))))))
% collapsed.
% Rule
% [348]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),inverse(A)))))
% <->
% inverse(inverse(multiply(A,multiply(inverse(B),inverse(inverse(inverse(C)))))))
% collapsed.
% Rule
% [349]
% inverse(inverse(multiply(A,multiply(inverse(B),inverse(inverse(inverse(C)))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),inverse(A)))))
% collapsed.
% Rule
% [350]
% multiply(inverse(multiply(inverse(inverse(multiply(inverse(A),inverse(B)))),C)),D)
% ->
% inverse(inverse(multiply(inverse(C),inverse(inverse(multiply(B,multiply(A,D)))))))
% collapsed.
% Rule
% [351]
% multiply(multiply(inverse(inverse(A)),B),inverse(inverse(multiply(inverse(B),
% inverse(inverse(
% inverse(A)))))))
% <-> multiply(C,inverse(C)) collapsed.
% Rule
% [352]
% inverse(inverse(inverse(multiply(C,multiply(inverse(inverse(B)),A))))) <->
% inverse(inverse(multiply(multiply(inverse(A),inverse(inverse(inverse(B)))),
% inverse(inverse(inverse(C)))))) collapsed.
% Rule
% [353]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),A)))) <->
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),inverse(inverse(
% inverse(C)))))))
% collapsed.
% Rule
% [355]
% multiply(inverse(A),inverse(inverse(multiply(inverse(B),inverse(inverse(
% inverse(C)))))))
% <-> inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),A))))
% collapsed.
% Rule
% [356]
% inverse(inverse(inverse(multiply(multiply(inverse(A),inverse(B)),inverse(
% inverse(
% multiply(B,
% multiply(A,
% inverse(C)))))))))
% -> C collapsed.
% Rule
% [357]
% inverse(inverse(inverse(multiply(inverse(A),multiply(multiply(A,inverse(B)),
% inverse(inverse(multiply(B,
% inverse(C)))))))))
% -> C collapsed.
% Rule
% [359]
% multiply(inverse(inverse(A)),inverse(B)) ->
% inverse(inverse(multiply(A,inverse(inverse(inverse(B)))))) collapsed.
% Rule
% [360]
% inverse(inverse(multiply(A,inverse(inverse(inverse(multiply(B,C))))))) <->
% inverse(inverse(multiply(multiply(A,inverse(C)),inverse(inverse(inverse(B))))))
% collapsed.
% Rule
% [361]
% inverse(inverse(multiply(multiply(A,inverse(C)),inverse(inverse(inverse(B))))))
% <-> inverse(inverse(multiply(A,inverse(inverse(inverse(multiply(B,C)))))))
% collapsed.
% Rule
% [362]
% inverse(inverse(multiply(inverse(C),inverse(B)))) <->
% inverse(inverse(inverse(multiply(A,inverse(inverse(multiply(multiply(
% inverse(A),B),
% inverse(inverse(C)))))))))
% collapsed.
% Rule
% [363]
% inverse(inverse(inverse(multiply(A,inverse(inverse(multiply(multiply(
% inverse(A),B),
% inverse(inverse(C)))))))))
% <-> inverse(inverse(multiply(inverse(C),inverse(B)))) collapsed.
% Rule
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),inverse(
% inverse(
% inverse(A)))))))
% <->
% multiply(A,inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(C)))))))
% collapsed.
% Rule
% [367]
% multiply(A,inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(C)))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(C)),B),inverse(
% inverse(
% inverse(A)))))))
% collapsed.
% Rule
% [369]
% inverse(inverse(multiply(inverse(C),inverse(multiply(B,inverse(inverse(A)))))))
% <->
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(A),inverse(
% inverse(
% inverse(B))))),
% inverse(inverse(C)))))) collapsed.
% Rule
% [370]
% multiply(inverse(inverse(inverse(A))),B) ->
% inverse(inverse(multiply(inverse(A),inverse(inverse(B))))) collapsed.
% Rule
% [371]
% multiply(inverse(multiply(A,B)),inverse(inverse(multiply(A,C)))) ->
% inverse(inverse(multiply(inverse(B),inverse(inverse(C))))) collapsed.
% Rule
% [372]
% multiply(multiply(A,B),inverse(inverse(inverse(multiply(inverse(C),inverse(
% inverse(B)))))))
% -> multiply(A,C) collapsed.
% Rule
% [373]
% inverse(inverse(multiply(inverse(C),inverse(inverse(A))))) <->
% inverse(multiply(multiply(inverse(A),inverse(B)),inverse(inverse(multiply(B,C)))))
% collapsed.
% Rule
% [374]
% inverse(multiply(multiply(inverse(A),inverse(B)),inverse(inverse(multiply(B,C)))))
% <-> inverse(inverse(multiply(inverse(C),inverse(inverse(A))))) collapsed.
% Rule
% [375]
% multiply(inverse(multiply(A,B)),inverse(inverse(inverse(multiply(C,inverse(A))))))
% -> inverse(inverse(multiply(inverse(B),inverse(C)))) collapsed.
% Rule
% [376]
% inverse(multiply(c3,inverse(multiply(A,inverse(multiply(inverse(c3),inverse(
% inverse(
% multiply(B,A)))))))))
% -> inverse(inverse(inverse(B))) collapsed.
% Rule
% [377]
% multiply(c3,inverse(multiply(B,inverse(multiply(inverse(c3),inverse(inverse(
% inverse(
% multiply(
% inverse(B),A)))))))))
% -> inverse(A) collapsed.
% Rule
% [378]
% inverse(inverse(multiply(inverse(B),A))) <-> inverse(multiply(inverse(A),B))
% collapsed.
% Rule
% [380]
% inverse(inverse(inverse(multiply(A,B)))) <->
% inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(A))))))
% collapsed.
% Rule
% [381]
% inverse(inverse(multiply(inverse(B),inverse(inverse(inverse(A)))))) <->
% inverse(inverse(inverse(multiply(A,B)))) collapsed.
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [383] multiply(B,inverse(multiply(A,B))) -> inverse(A)
% Rule [276] multiply(inverse(C),inverse(multiply(B,inverse(C)))) -> inverse(B)
% collapsed.
% Rule [325] inverse(multiply(A,inverse(multiply(B,A)))) -> B collapsed.
% Current number of equations to process: 945
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [384]
% inverse(multiply(C,inverse(multiply(B,A)))) <->
% multiply(B,multiply(A,inverse(C)))
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 942
% Current number of ordered equations: 1
% Current number of rules: 54
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 28 rules have been used:
% [1]
% multiply(A,inverse(multiply(B,multiply(multiply(multiply(C,inverse(C)),
% inverse(multiply(D,B))),A)))) -> D; trace = in the starting set
% [2] multiply(A,inverse(multiply(multiply(multiply(multiply(B,inverse(B)),
% inverse(multiply(C,D))),multiply(V_4,
% inverse(V_4))),
% multiply(C,A)))) -> D; trace = Self cp of 1
% [3] multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A))))
% <->
% multiply(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,D))),
% multiply(V_5,inverse(V_5))); trace = Cp of 2 and 1
% [4] multiply(multiply(multiply(V_4,inverse(V_4)),inverse(multiply(B,D))),
% multiply(V_5,inverse(V_5))) <->
% multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A)))); trace = Cp of 2 and 1
% [5] multiply(A,inverse(multiply(multiply(B,inverse(multiply(multiply(C,
% multiply(D,
% inverse(D))),
% multiply(V_4,B)))),
% multiply(C,A)))) -> V_4; trace = Cp of 4 and 2
% [7] multiply(multiply(D,inverse(D)),inverse(multiply(B,multiply(C,multiply(V_4,
% inverse(V_4))))))
% <-> multiply(A,inverse(multiply(B,multiply(C,A)))); trace = Cp of 5 and 1
% [8] multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(D,A))))
% <->
% multiply(V_4,inverse(multiply(multiply(B,multiply(V_5,inverse(V_5))),
% multiply(D,V_4)))); trace = Cp of 5 and 1
% [10] multiply(A,inverse(multiply(multiply(B,multiply(C,inverse(C))),multiply(
% multiply(D,
% inverse(
% multiply(V_4,
% multiply(B,D)))),A))))
% -> V_4; trace = Cp of 7 and 1
% [11] multiply(A,multiply(C,inverse(C))) <->
% multiply(A,multiply(B,inverse(B))); trace = Cp of 10 and 8
% [12] multiply(D,inverse(multiply(B,multiply(C,D)))) <->
% multiply(A,inverse(multiply(B,multiply(C,A)))); trace = Cp of 10 and 5
% [13] multiply(A,inverse(A)) <-> multiply(B,inverse(B)); trace = Cp of 11 and 2
% [14] multiply(A,inverse(multiply(inverse(B),multiply(multiply(C,inverse(C)),A))))
% -> B; trace = Cp of 13 and 1
% [15] multiply(D,inverse(multiply(B,multiply(A,D)))) <->
% multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(C))))); trace = Cp of 13 and 12
% [16] multiply(inverse(A),inverse(multiply(B,multiply(C,inverse(C))))) <->
% multiply(D,inverse(multiply(B,multiply(A,D)))); trace = Cp of 13 and 12
% [18] multiply(A,inverse(multiply(multiply(multiply(B,inverse(B)),multiply(C,
% inverse(C))),
% multiply(D,A)))) -> inverse(D); trace = Cp of 14 and 10
% [22] inverse(multiply(B,inverse(multiply(A,multiply(multiply(C,inverse(C)),B)))))
% -> A; trace = Cp of 18 and 10
% [24] multiply(multiply(multiply(A,inverse(A)),inverse(multiply(multiply(B,
% inverse(B)),C))),
% multiply(D,inverse(D))) -> inverse(C); trace = Cp of 18 and 3
% [34] multiply(multiply(A,inverse(multiply(B,multiply(multiply(C,inverse(C)),A)))),B)
% <-> multiply(D,inverse(D)); trace = Cp of 22 and 13
% [39] multiply(inverse(multiply(inverse(A),inverse(inverse(multiply(c3,
% inverse(c3)))))),
% inverse(multiply(inverse(D),A))) -> D; trace = Self cp of 14
% [44] multiply(multiply(multiply(A,inverse(A)),inverse(inverse(B))),multiply(C,
% inverse(C)))
% -> B; trace = Cp of 24 and 4
% [81] multiply(inverse(A),inverse(B)) <->
% multiply(C,inverse(multiply(B,multiply(A,C)))); trace = Cp of 44 and 16
% [86] multiply(multiply(A,inverse(A)),inverse(multiply(B,C))) <->
% multiply(D,inverse(multiply(B,multiply(C,D)))); trace = Cp of 44 and 12
% [88] multiply(inverse(multiply(inverse(A),multiply(multiply(B,inverse(B)),C))),
% inverse(multiply(D,A))) -> multiply(inverse(C),inverse(D)); trace = Cp of 15 and 14
% [124] inverse(inverse(inverse(inverse(A)))) -> A; trace = Cp of 39 and 13
% [197] inverse(inverse(multiply(A,B))) <->
% inverse(inverse(inverse(multiply(inverse(B),inverse(A))))); trace = Cp of 86 and 81
% [223] multiply(inverse(C),A) <->
% inverse(multiply(inverse(A),inverse(inverse(C)))); trace = Cp of 88 and 34
% [320] multiply(A,B) <-> inverse(multiply(inverse(B),inverse(A))); trace = Cp of 223 and 124
% [384] inverse(multiply(C,inverse(multiply(B,A)))) <->
% multiply(B,multiply(A,inverse(C))); trace = Cp of 197 and 81
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 4.200000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------