TSTP Solution File: GRP024-5 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP024-5 : TPTP v6.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n132.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 00:22:10 EDT 2014
% Result : Timeout 300.02s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP024-5 : TPTP v6.0.0. Released v2.2.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n132.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 : Thu Jun 5 17:16:33 CDT 2014
% % CPUTime : 300.02
% Processing problem /tmp/CiME_56022_n132.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a,identity : constant; commutator : 2; inverse : 1; multiply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z));
% commutator(commutator(X,Y),Z) = commutator(X,commutator(Y,Z));
% multiply(identity,X) = X;
% multiply(inverse(X),X) = identity;
% commutator(X,Y) = multiply(inverse(X),multiply(inverse(Y),multiply(X,Y)));
% ";
%
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% commutator lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% identity lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > commutator > inverse > identity > a > b > c";
%
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% commutator mul;
% inverse mul;
% multiply mul;
% identity mul;
% ";
%
% let p2 = precedence F "
% multiply > commutator > inverse > identity = a = b = c";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(a,commutator(b,c)) = multiply(commutator(b,c),a);"
% ;
% (*
% 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(multiply(X,Y),Z) =
% multiply(X,multiply(Y,Z)),
% commutator(commutator(X,Y),Z) =
% commutator(X,commutator(Y,Z)),
% multiply(identity,X) = X,
% multiply(inverse(X),X) = identity,
% commutator(X,Y) =
% multiply(inverse(X),multiply(inverse(Y),
% multiply(X,Y))) }
% (5 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(a,commutator(b,c)) =
% multiply(commutator(b,c),a) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] multiply(identity,X) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 1
% New rule produced : [2] multiply(inverse(X),X) -> identity
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 2
% New rule produced :
% [3] commutator(commutator(X,Y),Z) -> commutator(X,commutator(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 3
% New rule produced :
% [4] multiply(multiply(X,Y),Z) -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [5]
% multiply(inverse(X),multiply(inverse(Y),multiply(X,Y))) -> commutator(X,Y)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [6] multiply(inverse(Y),multiply(Y,X)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] commutator(identity,X) -> identity
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] commutator(inverse(X),X) -> identity
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] multiply(inverse(identity),X) -> X
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] multiply(inverse(inverse(X)),identity) -> X
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] multiply(inverse(inverse(X)),Y) -> multiply(X,Y)
% Rule [10] multiply(inverse(inverse(X)),identity) -> X collapsed.
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [12] multiply(X,identity) -> X
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [13] commutator(X,X) -> identity
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [14] commutator(inverse(X),commutator(X,Y)) -> identity
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [15] inverse(inverse(identity)) <-> commutator(inverse(identity),X)
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 14
% Rule [15] inverse(inverse(identity)) <-> commutator(inverse(identity),X) is composed into
% [15] inverse(inverse(identity)) -> identity
% New rule produced : [16] commutator(inverse(identity),X) -> identity
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [17] multiply(X,inverse(X)) -> identity
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [18] inverse(identity) -> identity
% Rule [9] multiply(inverse(identity),X) -> X collapsed.
% Rule [15] inverse(inverse(identity)) -> identity collapsed.
% Rule [16] commutator(inverse(identity),X) -> identity collapsed.
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [19] commutator(inverse(inverse(X)),Y) -> commutator(X,Y)
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [20] multiply(Y,multiply(inverse(Y),X)) -> X
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [21] commutator(X,identity) -> identity
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [22] inverse(inverse(X)) -> X
% Rule [11] multiply(inverse(inverse(X)),Y) -> multiply(X,Y) collapsed.
% Rule [19] commutator(inverse(inverse(X)),Y) -> commutator(X,Y) collapsed.
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [23] commutator(X,commutator(X,Y)) -> identity
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [24] commutator(X,commutator(Y,commutator(X,Y))) -> identity
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [25] commutator(X,inverse(X)) -> identity
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [26] commutator(X,commutator(inverse(X),Y)) -> identity
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [27] multiply(X,commutator(X,Y)) <-> multiply(inverse(Y),multiply(X,Y))
% Current number of equations to process: 14
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [28] multiply(inverse(Y),multiply(X,Y)) <-> multiply(X,commutator(X,Y))
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [29] multiply(X,multiply(Y,inverse(multiply(X,Y)))) -> identity
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [30] commutator(X,commutator(Y,inverse(commutator(X,Y)))) -> identity
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [31] multiply(X,multiply(Y,commutator(Y,X))) -> multiply(Y,X)
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [32]
% multiply(X,multiply(Y,inverse(X))) <-> multiply(Y,commutator(Y,inverse(X)))
% Current number of equations to process: 27
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [33]
% multiply(Y,commutator(Y,inverse(X))) <-> multiply(X,multiply(Y,inverse(X)))
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [34] multiply(Y,inverse(multiply(X,Y))) -> inverse(X)
% Rule [29] multiply(X,multiply(Y,inverse(multiply(X,Y)))) -> identity
% collapsed.
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [35]
% multiply(commutator(X,Y),inverse(X)) <-> multiply(inverse(X),commutator(X,Y))
% Current number of equations to process: 33
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [36]
% multiply(inverse(X),commutator(X,Y)) <-> multiply(commutator(X,Y),inverse(X))
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [37] multiply(commutator(X,Y),X) -> multiply(X,commutator(X,Y))
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [38]
% multiply(commutator(inverse(X),Y),X) -> multiply(X,commutator(inverse(X),Y))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [39] commutator(X,commutator(Y,commutator(X,commutator(Y,Z)))) -> identity
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [40] multiply(inverse(multiply(X,Y)),X) -> inverse(Y)
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [41] inverse(multiply(Y,X)) -> multiply(inverse(X),inverse(Y))
% Rule [34] multiply(Y,inverse(multiply(X,Y))) -> inverse(X) collapsed.
% Rule [40] multiply(inverse(multiply(X,Y)),X) -> inverse(Y) collapsed.
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [42] commutator(X,commutator(Y,X)) -> identity
% Rule [24] commutator(X,commutator(Y,commutator(X,Y))) -> identity collapsed.
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [43] multiply(X,multiply(commutator(X,Y),inverse(X))) -> commutator(X,Y)
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [44] commutator(inverse(X),commutator(Y,X)) -> identity
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [45] inverse(commutator(X,Y)) -> commutator(Y,X)
% Rule [30] commutator(X,commutator(Y,inverse(commutator(X,Y)))) -> identity
% collapsed.
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [46] multiply(commutator(X,Y),Y) -> multiply(Y,commutator(X,Y))
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [47] commutator(X,commutator(Y,commutator(Z,X))) -> identity
% Current number of equations to process: 76
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [48] commutator(X,commutator(Y,commutator(X,Z))) -> identity
% Rule
% [39] commutator(X,commutator(Y,commutator(X,commutator(Y,Z)))) -> identity
% collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [49]
% multiply(commutator(X,Y),inverse(Y)) <-> multiply(inverse(Y),commutator(X,Y))
% Current number of equations to process: 76
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [50]
% multiply(inverse(Y),commutator(X,Y)) <-> multiply(commutator(X,Y),inverse(Y))
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [51] commutator(multiply(inverse(X),inverse(Y)),multiply(Y,X)) -> identity
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [52] commutator(multiply(X,Y),multiply(inverse(Y),inverse(X))) -> identity
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [53] multiply(commutator(X,Y),multiply(X,commutator(Y,X))) -> X
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [54] commutator(X,commutator(Y,inverse(X))) -> identity
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [55] multiply(commutator(X,Y),commutator(Y,X)) -> identity
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [56] commutator(X,commutator(Y,Z)) <-> commutator(Y,commutator(Z,X))
% Current number of equations to process: 83
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [57] commutator(Y,commutator(Z,X)) <-> commutator(X,commutator(Y,Z))
% Rule [44] commutator(inverse(X),commutator(Y,X)) -> identity collapsed.
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [58] commutator(inverse(X),commutator(Y,commutator(Z,X))) -> identity
% Current number of equations to process: 87
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [59] commutator(inverse(X),commutator(Y,commutator(X,Z))) -> identity
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [60] multiply(Y,multiply(commutator(X,Y),inverse(Y))) -> commutator(X,Y)
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [61] multiply(commutator(X,Y),multiply(commutator(Y,X),Z)) -> Z
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [62] commutator(X,commutator(Y,commutator(Z,commutator(V_3,X)))) -> identity
% Current number of equations to process: 94
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [63] commutator(X,commutator(Y,commutator(Z,commutator(X,V_3)))) -> identity
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [64]
% multiply(commutator(X,inverse(Y)),Y) -> multiply(Y,commutator(X,inverse(Y)))
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [65] commutator(multiply(inverse(X),Y),multiply(inverse(Y),X)) -> identity
% Current number of equations to process: 116
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [66] commutator(multiply(X,inverse(Y)),multiply(Y,inverse(X))) -> identity
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [67] commutator(X,commutator(Y,commutator(Z,inverse(X)))) -> identity
% Current number of equations to process: 131
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [68] commutator(X,commutator(Y,commutator(inverse(X),Z))) -> identity
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [69] multiply(commutator(X,Y),multiply(Y,commutator(Y,X))) -> Y
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [70]
% multiply(commutator(X,Y),inverse(Y)) <->
% multiply(inverse(X),multiply(inverse(Y),X))
% Current number of equations to process: 234
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [71]
% multiply(inverse(X),multiply(inverse(Y),X)) <->
% multiply(commutator(X,Y),inverse(Y))
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [72]
% multiply(X,commutator(Y,inverse(X))) <-> multiply(inverse(Y),multiply(X,Y))
% Current number of equations to process: 238
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [73]
% multiply(inverse(Y),multiply(X,Y)) <-> multiply(X,commutator(Y,inverse(X)))
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [74]
% multiply(inverse(X),commutator(Y,X)) <->
% multiply(inverse(Y),multiply(inverse(X),Y))
% Current number of equations to process: 247
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [75]
% multiply(inverse(Y),multiply(inverse(X),Y)) <->
% multiply(inverse(X),commutator(Y,X))
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [76]
% multiply(inverse(X),commutator(inverse(X),Y)) <->
% multiply(commutator(Y,X),inverse(X))
% Current number of equations to process: 246
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [77]
% multiply(commutator(Y,X),inverse(X)) <->
% multiply(inverse(X),commutator(inverse(X),Y))
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [78] commutator(X,Y) <-> commutator(Y,inverse(X))
% Current number of equations to process: 258
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced : [79] commutator(Y,inverse(X)) <-> commutator(X,Y)
% Rule [25] commutator(X,inverse(X)) -> identity collapsed.
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [80] multiply(X,multiply(Y,commutator(X,inverse(Y)))) -> multiply(Y,X)
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [81]
% multiply(X,multiply(commutator(X,Y),inverse(Y))) <-> multiply(inverse(Y),X)
% Current number of equations to process: 276
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [82]
% multiply(inverse(Y),X) <-> multiply(X,multiply(commutator(X,Y),inverse(Y)))
% Rule [2] multiply(inverse(X),X) -> identity collapsed.
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [83]
% multiply(X,multiply(Y,inverse(X))) <->
% multiply(Y,commutator(inverse(X),inverse(Y)))
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [84]
% multiply(Y,commutator(inverse(X),inverse(Y))) <->
% multiply(X,multiply(Y,inverse(X)))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [85]
% multiply(X,multiply(inverse(Y),commutator(X,Y))) -> multiply(inverse(Y),X)
% Current number of equations to process: 292
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [86]
% multiply(inverse(X),commutator(Y,X)) <->
% multiply(inverse(X),commutator(inverse(X),Y))
% Current number of equations to process: 291
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [87]
% multiply(inverse(X),commutator(inverse(X),Y)) <->
% multiply(inverse(X),commutator(Y,X))
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [88] commutator(X,Y) <-> commutator(inverse(Y),X)
% Rule
% [86]
% multiply(inverse(X),commutator(Y,X)) <->
% multiply(inverse(X),commutator(inverse(X),Y)) collapsed.
% Current number of equations to process: 291
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced : [89] commutator(inverse(Y),X) <-> commutator(X,Y)
% Rule [8] commutator(inverse(X),X) -> identity collapsed.
% Rule
% [87]
% multiply(inverse(X),commutator(inverse(X),Y)) <->
% multiply(inverse(X),commutator(Y,X)) collapsed.
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [90] commutator(X,commutator(Y,Z)) <-> commutator(Z,commutator(Y,X))
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 72
% Rule [83]
% multiply(X,multiply(Y,inverse(X))) <->
% multiply(Y,commutator(inverse(X),inverse(Y))) is composed into [83]
% multiply(X,
% multiply(Y,
% inverse(X)))
% <->
% multiply(Y,
% commutator(X,Y))
% New rule produced : [91] commutator(inverse(X),inverse(Y)) -> commutator(X,Y)
% Rule
% [84]
% multiply(Y,commutator(inverse(X),inverse(Y))) <->
% multiply(X,multiply(Y,inverse(X))) collapsed.
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [92] commutator(X,commutator(inverse(Y),Z)) <-> commutator(Y,commutator(X,Z))
% Rule [26] commutator(X,commutator(inverse(X),Y)) -> identity collapsed.
% Current number of equations to process: 342
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [93] commutator(Y,commutator(X,Z)) <-> commutator(X,commutator(inverse(Y),Z))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [94] multiply(commutator(X,Y),commutator(X,inverse(Y))) -> identity
% Current number of equations to process: 340
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [95] multiply(commutator(X,inverse(Y)),commutator(X,Y)) -> identity
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [96] commutator(X,commutator(Y,inverse(Z))) -> commutator(X,commutator(Y,Z))
% Rule [54] commutator(X,commutator(Y,inverse(X))) -> identity collapsed.
% Rule [67] commutator(X,commutator(Y,commutator(Z,inverse(X)))) -> identity
% collapsed.
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [97] commutator(X,commutator(Y,Z)) <-> commutator(Y,commutator(X,Z))
% Rule [14] commutator(inverse(X),commutator(X,Y)) -> identity collapsed.
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [98] multiply(commutator(X,Y),commutator(inverse(X),Y)) -> identity
% Current number of equations to process: 330
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [99] multiply(commutator(inverse(X),Y),commutator(X,Y)) -> identity
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [100]
% commutator(X,commutator(Y,Z)) <-> commutator(Z,commutator(inverse(Y),X))
% Current number of equations to process: 329
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [101]
% commutator(Z,commutator(inverse(Y),X)) <-> commutator(X,commutator(Y,Z))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [102]
% commutator(X,commutator(Y,Z)) <-> commutator(inverse(Y),commutator(X,Z))
% Current number of equations to process: 328
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [103]
% commutator(inverse(Y),commutator(X,Z)) <-> commutator(X,commutator(Y,Z))
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [104]
% commutator(X,multiply(inverse(Y),inverse(Z))) <-> commutator(multiply(Z,Y),X)
% Current number of equations to process: 330
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [105]
% commutator(multiply(Z,Y),X) <-> commutator(X,multiply(inverse(Y),inverse(Z)))
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [106]
% multiply(commutator(X,Y),inverse(X)) <->
% multiply(inverse(X),commutator(Y,inverse(X)))
% Current number of equations to process: 333
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [107]
% multiply(inverse(X),commutator(Y,inverse(X))) <->
% multiply(commutator(X,Y),inverse(X))
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [108]
% multiply(inverse(X),commutator(Y,X)) <->
% multiply(commutator(X,inverse(Y)),inverse(X))
% Current number of equations to process: 332
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [109]
% multiply(commutator(X,inverse(Y)),inverse(X)) <->
% multiply(inverse(X),commutator(Y,X))
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [110]
% multiply(inverse(X),commutator(X,inverse(Y))) <->
% multiply(commutator(Y,X),inverse(X))
% Current number of equations to process: 331
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [111]
% multiply(commutator(Y,X),inverse(X)) <->
% multiply(inverse(X),commutator(X,inverse(Y)))
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [112]
% multiply(Y,inverse(X)) <-> multiply(inverse(X),multiply(Y,commutator(X,Y)))
% Current number of equations to process: 329
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [113]
% multiply(inverse(X),multiply(Y,commutator(X,Y))) <-> multiply(Y,inverse(X))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [114] commutator(multiply(X,Y),Y) -> commutator(X,Y)
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [115]
% multiply(inverse(Y),commutator(Y,X)) <->
% multiply(commutator(inverse(X),Y),inverse(Y))
% Current number of equations to process: 344
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [116]
% multiply(commutator(inverse(X),Y),inverse(Y)) <->
% multiply(inverse(Y),commutator(Y,X))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [117]
% multiply(Y,commutator(inverse(X),Y)) <-> multiply(inverse(X),multiply(Y,X))
% Current number of equations to process: 344
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [118]
% multiply(inverse(X),multiply(Y,X)) <-> multiply(Y,commutator(inverse(X),Y))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [119]
% multiply(Y,multiply(inverse(X),inverse(Y))) <->
% multiply(commutator(X,Y),inverse(X))
% Current number of equations to process: 351
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [120]
% multiply(commutator(X,Y),inverse(X)) <->
% multiply(Y,multiply(inverse(X),inverse(Y)))
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [121] commutator(X,commutator(Y,Z)) <-> commutator(X,commutator(Z,Y))
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [122] commutator(X,inverse(Y)) <-> commutator(inverse(X),Y)
% Current number of equations to process: 367
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [123] commutator(inverse(X),Y) <-> commutator(X,inverse(Y))
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [124]
% commutator(X,commutator(Y,Z)) <-> commutator(inverse(Z),commutator(X,Y))
% Current number of equations to process: 387
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [125]
% commutator(inverse(Z),commutator(X,Y)) <-> commutator(X,commutator(Y,Z))
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [126]
% commutator(X,commutator(Y,Z)) <-> commutator(inverse(Z),commutator(Y,X))
% Current number of equations to process: 386
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [127]
% commutator(inverse(Z),commutator(Y,X)) <-> commutator(X,commutator(Y,Z))
% Current number of equations to process: 386
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [128]
% commutator(X,commutator(inverse(Y),Z)) <-> commutator(Z,commutator(X,Y))
% Current number of equations to process: 385
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [129]
% commutator(Z,commutator(X,Y)) <-> commutator(X,commutator(inverse(Y),Z))
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [130]
% commutator(X,commutator(Y,Z)) <-> commutator(inverse(Y),commutator(Z,X))
% Current number of equations to process: 401
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [131]
% commutator(inverse(Y),commutator(Z,X)) <-> commutator(X,commutator(Y,Z))
% Current number of equations to process: 401
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [132]
% commutator(X,commutator(inverse(Y),Z)) <-> commutator(Y,commutator(Z,X))
% Current number of equations to process: 414
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [133]
% commutator(Y,commutator(Z,X)) <-> commutator(X,commutator(inverse(Y),Z))
% Current number of equations to process: 414
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [134]
% commutator(X,commutator(Z,Y)) <-> commutator(inverse(X),commutator(Y,Z))
% Current number of equations to process: 413
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [135]
% commutator(inverse(X),commutator(Y,Z)) <-> commutator(X,commutator(Z,Y))
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [136]
% multiply(X,commutator(inverse(X),Y)) <-> multiply(Y,multiply(X,inverse(Y)))
% Current number of equations to process: 411
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [137]
% multiply(Y,multiply(X,inverse(Y))) <-> multiply(X,commutator(inverse(X),Y))
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [138]
% commutator(X,commutator(inverse(Z),Y)) <->
% commutator(inverse(X),commutator(Y,Z))
% Current number of equations to process: 436
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [139]
% commutator(inverse(X),commutator(Y,Z)) <->
% commutator(X,commutator(inverse(Z),Y))
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [140]
% commutator(X,commutator(inverse(Y),Z)) <->
% commutator(Z,commutator(inverse(X),Y))
% Current number of equations to process: 469
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [141]
% commutator(Z,commutator(inverse(X),Y)) <->
% commutator(X,commutator(inverse(Y),Z))
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 118
% Rule [139]
% commutator(inverse(X),commutator(Y,Z)) <->
% commutator(X,commutator(inverse(Z),Y)) is composed into [139]
% commutator(
% inverse(X),
% commutator(Y,Z))
% <->
% commutator(X,
% commutator(Z,Y))
% Rule [133]
% commutator(Y,commutator(Z,X)) <-> commutator(X,commutator(inverse(Y),Z)) is composed into
% [133] commutator(Y,commutator(Z,X)) <-> commutator(X,commutator(Y,Z))
% Rule [129]
% commutator(Z,commutator(X,Y)) <-> commutator(X,commutator(inverse(Y),Z)) is composed into
% [129] commutator(Z,commutator(X,Y)) <-> commutator(X,commutator(Y,Z))
% Rule [100]
% commutator(X,commutator(Y,Z)) <-> commutator(Z,commutator(inverse(Y),X)) is composed into
% [100] commutator(X,commutator(Y,Z)) <-> commutator(Z,commutator(Y,X))
% Rule [93]
% commutator(Y,commutator(X,Z)) <-> commutator(X,commutator(inverse(Y),Z)) is composed into
% [93] commutator(Y,commutator(X,Z)) <-> commutator(X,commutator(Y,Z))
% New rule produced :
% [142] commutator(X,commutator(inverse(Y),Z)) -> commutator(X,commutator(Y,Z))
% Rule [68] commutator(X,commutator(Y,commutator(inverse(X),Z))) -> identity
% collapsed.
% Rule
% [92] commutator(X,commutator(inverse(Y),Z)) <-> commutator(Y,commutator(X,Z))
% collapsed.
% Rule
% [101]
% commutator(Z,commutator(inverse(Y),X)) <-> commutator(X,commutator(Y,Z))
% collapsed.
% Rule
% [128]
% commutator(X,commutator(inverse(Y),Z)) <-> commutator(Z,commutator(X,Y))
% collapsed.
% Rule
% [132]
% commutator(X,commutator(inverse(Y),Z)) <-> commutator(Y,commutator(Z,X))
% collapsed.
% Rule
% [138]
% commutator(X,commutator(inverse(Z),Y)) <->
% commutator(inverse(X),commutator(Y,Z)) collapsed.
% Rule
% [140]
% commutator(X,commutator(inverse(Y),Z)) <->
% commutator(Z,commutator(inverse(X),Y)) collapsed.
% Rule
% [141]
% commutator(Z,commutator(inverse(X),Y)) <->
% commutator(X,commutator(inverse(Y),Z)) collapsed.
% Current number of equations to process: 487
% Current number of ordered equations: 0
% Current number of rules: 111
% Rule [134]
% commutator(X,commutator(Z,Y)) <-> commutator(inverse(X),commutator(Y,Z)) is composed into
% [134] commutator(X,commutator(Z,Y)) <-> commutator(X,commutator(Y,Z))
% Rule [130]
% commutator(X,commutator(Y,Z)) <-> commutator(inverse(Y),commutator(Z,X)) is composed into
% [130] commutator(X,commutator(Y,Z)) <-> commutator(Y,commutator(Z,X))
% Rule [126]
% commutator(X,commutator(Y,Z)) <-> commutator(inverse(Z),commutator(Y,X)) is composed into
% [126] commutator(X,commutator(Y,Z)) <-> commutator(Z,commutator(Y,X))
% Rule [124]
% commutator(X,commutator(Y,Z)) <-> commutator(inverse(Z),commutator(X,Y)) is composed into
% [124] commutator(X,commutator(Y,Z)) <-> commutator(Z,commutator(X,Y))
% Rule [102]
% commutator(X,commutator(Y,Z)) <-> commutator(inverse(Y),commutator(X,Z)) is composed into
% [102] commutator(X,commutator(Y,Z)) <-> commutator(Y,commutator(X,Z))
% New rule produced :
% [143] commutator(inverse(X),commutator(Y,Z)) -> commutator(X,commutator(Y,Z))
% Rule [58] commutator(inverse(X),commutator(Y,commutator(Z,X))) -> identity
% collapsed.
% Rule [59] commutator(inverse(X),commutator(Y,commutator(X,Z))) -> identity
% collapsed.
% Rule
% [103]
% commutator(inverse(Y),commutator(X,Z)) <-> commutator(X,commutator(Y,Z))
% collapsed.
% Rule
% [125]
% commutator(inverse(Z),commutator(X,Y)) <-> commutator(X,commutator(Y,Z))
% collapsed.
% Rule
% [127]
% commutator(inverse(Z),commutator(Y,X)) <-> commutator(X,commutator(Y,Z))
% collapsed.
% Rule
% [131]
% commutator(inverse(Y),commutator(Z,X)) <-> commutator(X,commutator(Y,Z))
% collapsed.
% Rule
% [135]
% commutator(inverse(X),commutator(Y,Z)) <-> commutator(X,commutator(Z,Y))
% collapsed.
% Rule
% [139]
% commutator(inverse(X),commutator(Y,Z)) <-> commutator(X,commutator(Z,Y))
% collapsed.
% Current number of equations to process: 611
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [144] multiply(X,multiply(Y,commutator(inverse(X),Y))) -> multiply(Y,X)
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [145]
% commutator(Z,multiply(Y,X)) <-> commutator(multiply(inverse(X),inverse(Y)),Z)
% Current number of equations to process: 609
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [146]
% commutator(multiply(inverse(X),inverse(Y)),Z) <-> commutator(Z,multiply(Y,X))
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [147] multiply(commutator(X,inverse(Y)),commutator(Y,inverse(X))) -> identity
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [148] multiply(commutator(inverse(X),Y),commutator(inverse(Y),X)) -> identity
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [149]
% commutator(X,multiply(inverse(Y),Z)) <-> commutator(multiply(inverse(Z),Y),X)
% Current number of equations to process: 601
% Current number of ordered equations: 3
% Current number of rules: 110
% New rule produced :
% [150]
% commutator(X,multiply(Y,inverse(Z))) <-> commutator(multiply(Z,inverse(Y)),X)
% Current number of equations to process: 601
% Current number of ordered equations: 2
% Current number of rules: 111
% New rule produced :
% [151]
% commutator(multiply(inverse(Z),Y),X) <-> commutator(X,multiply(inverse(Y),Z))
% Current number of equations to process: 601
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [152]
% commutator(multiply(Z,inverse(Y)),X) <-> commutator(X,multiply(Y,inverse(Z)))
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [153]
% multiply(commutator(X,Y),inverse(X)) <->
% multiply(inverse(X),commutator(inverse(Y),X))
% Current number of equations to process: 701
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [154]
% multiply(inverse(X),commutator(inverse(Y),X)) <->
% multiply(commutator(X,Y),inverse(X))
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [155]
% multiply(Y,multiply(inverse(X),inverse(Y))) <->
% multiply(inverse(X),commutator(X,Y))
% Current number of equations to process: 700
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [156]
% multiply(inverse(X),commutator(X,Y)) <->
% multiply(Y,multiply(inverse(X),inverse(Y)))
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [157]
% commutator(multiply(Y,X),inverse(Z)) <->
% commutator(multiply(inverse(X),inverse(Y)),Z)
% Current number of equations to process: 699
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [158]
% commutator(multiply(inverse(X),inverse(Y)),Z) <->
% commutator(multiply(Y,X),inverse(Z))
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [159]
% commutator(X,multiply(inverse(Z),inverse(Y))) <->
% commutator(inverse(X),multiply(Y,Z))
% Current number of equations to process: 698
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [160]
% commutator(inverse(X),multiply(Y,Z)) <->
% commutator(X,multiply(inverse(Z),inverse(Y)))
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [161]
% multiply(commutator(X,Y),multiply(inverse(X),Y)) -> multiply(Y,inverse(X))
% Current number of equations to process: 762
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [162] commutator(X,commutator(Y,multiply(X,Y))) -> identity
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [163] commutator(X,multiply(Y,X)) -> commutator(X,Y)
% Rule [162] commutator(X,commutator(Y,multiply(X,Y))) -> identity collapsed.
% Current number of equations to process: 798
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [164] commutator(multiply(X,commutator(X,Y)),X) -> identity
% Current number of equations to process: 799
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [165] commutator(multiply(X,commutator(Y,X)),X) -> identity
% Current number of equations to process: 798
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [166] commutator(X,multiply(Y,inverse(X))) -> commutator(Y,inverse(X))
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [167] commutator(inverse(X),multiply(Y,X)) -> commutator(Y,X)
% Current number of equations to process: 824
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [168] commutator(inverse(Y),multiply(Y,X)) -> commutator(X,Y)
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [169] commutator(X,multiply(inverse(X),commutator(X,Y))) -> identity
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [170] commutator(X,multiply(inverse(X),commutator(Y,X))) -> identity
% Current number of equations to process: 828
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [171] commutator(X,multiply(inverse(X),inverse(Y))) -> commutator(Y,X)
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [172] commutator(Y,multiply(inverse(Y),X)) -> commutator(X,inverse(Y))
% Rule [169] commutator(X,multiply(inverse(X),commutator(X,Y))) -> identity
% collapsed.
% Rule [170] commutator(X,multiply(inverse(X),commutator(Y,X))) -> identity
% collapsed.
% Rule [171] commutator(X,multiply(inverse(X),inverse(Y))) -> commutator(Y,X)
% collapsed.
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [173]
% commutator(Y,commutator(multiply(X,Y),Z)) -> commutator(X,commutator(Y,Z))
% Current number of equations to process: 823
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [174] commutator(multiply(X,multiply(Y,Z)),Z) -> commutator(multiply(X,Y),Z)
% Current number of equations to process: 822
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [175]
% commutator(Z,commutator(X,multiply(Y,Z))) -> commutator(X,commutator(Y,Z))
% Current number of equations to process: 819
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [176] commutator(X,multiply(inverse(Y),multiply(inverse(X),Y))) -> identity
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [177] commutator(X,multiply(Y,multiply(inverse(X),inverse(Y)))) -> identity
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [178] commutator(X,inverse(Y)) <-> commutator(multiply(Y,inverse(X)),Y)
% Current number of equations to process: 934
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [179] commutator(multiply(Y,inverse(X)),Y) <-> commutator(X,inverse(Y))
% Current number of equations to process: 934
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [180]
% commutator(multiply(inverse(X),Y),inverse(Z)) <->
% commutator(multiply(inverse(Y),X),Z)
% Current number of equations to process: 1731
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [181]
% commutator(multiply(inverse(Y),X),Z) <->
% commutator(multiply(inverse(X),Y),inverse(Z))
% Current number of equations to process: 1731
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [182]
% commutator(multiply(X,inverse(Y)),inverse(Z)) <->
% commutator(multiply(Y,inverse(X)),Z)
% Current number of equations to process: 1729
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [183]
% commutator(multiply(Y,inverse(X)),Z) <->
% commutator(multiply(X,inverse(Y)),inverse(Z))
% Current number of equations to process: 1729
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [184]
% commutator(X,multiply(inverse(Y),Z)) <->
% commutator(inverse(X),multiply(inverse(Z),Y))
% Current number of equations to process: 1727
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [185]
% commutator(inverse(X),multiply(inverse(Z),Y)) <->
% commutator(X,multiply(inverse(Y),Z))
% Current number of equations to process: 1727
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [186]
% commutator(X,multiply(Y,inverse(Z))) <->
% commutator(inverse(X),multiply(Z,inverse(Y)))
% Current number of equations to process: 1725
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [187]
% commutator(inverse(X),multiply(Z,inverse(Y))) <->
% commutator(X,multiply(Y,inverse(Z)))
% Current number of equations to process: 1725
% Current number of ordered equations: 0
% Current number of rules: 144
% Rule [178] commutator(X,inverse(Y)) <-> commutator(multiply(Y,inverse(X)),Y) is composed into
% [178] commutator(X,inverse(Y)) <-> commutator(inverse(X),Y)
% New rule produced : [188] commutator(multiply(Y,X),Y) -> commutator(X,Y)
% Rule [164] commutator(multiply(X,commutator(X,Y)),X) -> identity collapsed.
% Rule [165] commutator(multiply(X,commutator(Y,X)),X) -> identity collapsed.
% Rule [179] commutator(multiply(Y,inverse(X)),Y) <-> commutator(X,inverse(Y))
% collapsed.
% Current number of equations to process: 1937
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [189]
% multiply(commutator(X,Y),multiply(X,inverse(Y))) <-> multiply(inverse(Y),X)
% Current number of equations to process: 2075
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [190]
% multiply(inverse(Y),X) <-> multiply(commutator(X,Y),multiply(X,inverse(Y)))
% Current number of equations to process: 2075
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [191] multiply(commutator(inverse(X),Y),multiply(X,Y)) -> multiply(Y,X)
% Current number of equations to process: 2081
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [192] commutator(multiply(X,inverse(Y)),multiply(inverse(Y),X)) -> identity
% Current number of equations to process: 2099
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [193] commutator(X,multiply(X,Y)) -> commutator(X,Y)
% Current number of equations to process: 2123
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [194] commutator(X,multiply(inverse(Y),multiply(X,Y))) -> identity
% Current number of equations to process: 2148
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [195] multiply(commutator(X,Y),multiply(Y,X)) -> multiply(X,Y)
% Current number of equations to process: 2147
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [196] commutator(X,multiply(Y,commutator(X,Y))) <-> commutator(Y,inverse(X))
% Current number of equations to process: 2181
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [197] commutator(Y,inverse(X)) <-> commutator(X,multiply(Y,commutator(X,Y)))
% Current number of equations to process: 2181
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [198] commutator(X,multiply(Y,commutator(Y,X))) -> commutator(X,Y)
% Current number of equations to process: 2186
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [199] commutator(multiply(X,commutator(X,Y)),Y) -> commutator(X,Y)
% Current number of equations to process: 2191
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [200] commutator(multiply(inverse(X),Y),multiply(Y,inverse(X))) -> identity
% Current number of equations to process: 2212
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [201] commutator(X,commutator(Y,multiply(X,commutator(Y,X)))) -> identity
% Current number of equations to process: 2211
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [202] commutator(X,multiply(Y,multiply(Z,X))) -> commutator(X,multiply(Y,Z))
% Current number of equations to process: 2210
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [203] commutator(X,commutator(Y,commutator(multiply(Y,X),Z))) -> identity
% Current number of equations to process: 2209
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [204] commutator(multiply(inverse(X),Y),multiply(X,inverse(Y))) -> identity
% Current number of equations to process: 2208
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [205] commutator(inverse(X),multiply(inverse(Y),multiply(X,Y))) -> identity
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [206]
% commutator(X,commutator(Y,Z)) <-> commutator(Z,commutator(multiply(Z,Y),X))
% Current number of equations to process: 2205
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [207]
% commutator(Z,commutator(multiply(Z,Y),X)) <-> commutator(X,commutator(Y,Z))
% Current number of equations to process: 2205
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [208] commutator(inverse(X),multiply(Y,multiply(X,inverse(Y)))) -> identity
% Current number of equations to process: 2202
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [209]
% commutator(Z,commutator(X,multiply(Z,Y))) -> commutator(X,commutator(Y,Z))
% Rule
% [201] commutator(X,commutator(Y,multiply(X,commutator(Y,X)))) -> identity
% collapsed.
% Current number of equations to process: 2201
% Current number of ordered equations: 0
% Current number of rules: 162
% Rule [206]
% commutator(X,commutator(Y,Z)) <->
% commutator(Z,commutator(multiply(Z,Y),X)) is composed into [206]
% commutator(X,
% commutator(Y,Z))
% <->
% commutator(Y,
% commutator(Z,X))
% New rule produced :
% [210]
% commutator(Y,commutator(multiply(Y,X),Z)) -> commutator(X,commutator(Y,Z))
% Rule
% [203] commutator(X,commutator(Y,commutator(multiply(Y,X),Z))) -> identity
% collapsed.
% Rule
% [207]
% commutator(Z,commutator(multiply(Z,Y),X)) <-> commutator(X,commutator(Y,Z))
% collapsed.
% Current number of equations to process: 2200
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [211] commutator(multiply(X,commutator(Y,inverse(X))),Y) -> commutator(X,Y)
% Current number of equations to process: 2196
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [212] commutator(X,multiply(Y,commutator(X,inverse(Y)))) -> commutator(X,Y)
% Current number of equations to process: 2207
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [213] commutator(X,multiply(Y,commutator(inverse(X),Y))) -> commutator(X,Y)
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [214] commutator(X,multiply(Y,commutator(inverse(Y),X))) -> commutator(X,Y)
% Current number of equations to process: 2312
% Current number of ordered equations: 0
% Current number of rules: 165
% Rule [197]
% commutator(Y,inverse(X)) <-> commutator(X,multiply(Y,commutator(X,Y))) is composed into
% [197] commutator(Y,inverse(X)) <-> commutator(X,Y)
% New rule produced :
% [215] commutator(X,multiply(Y,commutator(X,Y))) -> commutator(X,Y)
% Rule
% [196] commutator(X,multiply(Y,commutator(X,Y))) <-> commutator(Y,inverse(X))
% collapsed.
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [216] commutator(multiply(inverse(X),inverse(Y)),multiply(X,Y)) -> identity
% Current number of equations to process: 2347
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [217] commutator(multiply(commutator(X,Y),inverse(Y)),X) -> commutator(X,Y)
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [218] commutator(multiply(inverse(X),commutator(Y,X)),Y) -> commutator(Y,X)
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [219] commutator(multiply(inverse(X),multiply(Y,X)),Y) -> identity
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [220] commutator(multiply(X,multiply(Y,inverse(X))),Y) -> identity
% Current number of equations to process: 2504
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [221]
% commutator(X,multiply(commutator(X,Y),inverse(Y))) ->
% commutator(X,inverse(Y))
% Current number of equations to process: 2525
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [222]
% commutator(inverse(X),multiply(Y,commutator(X,Y))) ->
% commutator(inverse(X),Y)
% Current number of equations to process: 2524
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [223]
% commutator(X,multiply(inverse(Y),commutator(X,Y))) ->
% commutator(X,inverse(Y))
% Current number of equations to process: 2518
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [224]
% commutator(multiply(commutator(X,Y),inverse(X)),Y) ->
% commutator(inverse(X),Y)
% Current number of equations to process: 2517
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [225]
% commutator(X,multiply(commutator(Y,X),inverse(Y))) ->
% commutator(X,inverse(Y))
% Current number of equations to process: 2516
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [226]
% commutator(X,multiply(inverse(Y),commutator(Y,X))) ->
% commutator(X,inverse(Y))
% Current number of equations to process: 2515
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [227] commutator(inverse(Y),X) <-> commutator(multiply(X,commutator(Y,X)),Y)
% Current number of equations to process: 2981
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [228] commutator(multiply(X,commutator(Y,X)),Y) <-> commutator(inverse(Y),X)
% Current number of equations to process: 2981
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [229] commutator(multiply(inverse(X),commutator(X,Y)),Y) -> commutator(Y,X)
% Current number of equations to process: 2980
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [230]
% commutator(inverse(Y),X) <->
% commutator(multiply(X,commutator(inverse(X),Y)),Y)
% Current number of equations to process: 2990
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [231]
% commutator(multiply(X,commutator(inverse(X),Y)),Y) <->
% commutator(inverse(Y),X)
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [232] multiply(commutator(X,inverse(Y)),multiply(X,Y)) -> multiply(Y,X)
% Current number of equations to process: 2992
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced : [233] commutator(multiply(X,Y),multiply(Y,X)) -> identity
% Rule
% [192] commutator(multiply(X,inverse(Y)),multiply(inverse(Y),X)) -> identity
% collapsed.
% Rule
% [200] commutator(multiply(inverse(X),Y),multiply(Y,inverse(X))) -> identity
% collapsed.
% Current number of equations to process: 3057
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [234] commutator(multiply(X,Y),commutator(multiply(Y,X),Z)) -> identity
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 182
% Rule [230]
% commutator(inverse(Y),X) <->
% commutator(multiply(X,commutator(inverse(X),Y)),Y) is composed into
% [230] commutator(inverse(Y),X) <-> commutator(X,Y)
% New rule produced :
% [235] commutator(multiply(X,commutator(inverse(X),Y)),Y) -> commutator(X,Y)
% Rule
% [231]
% commutator(multiply(X,commutator(inverse(X),Y)),Y) <->
% commutator(inverse(Y),X) collapsed.
% Current number of equations to process: 3093
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [236] commutator(multiply(X,Y),commutator(Z,multiply(Y,X))) -> identity
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [237] commutator(X,multiply(Y,multiply(X,inverse(Y)))) -> identity
% Current number of equations to process: 3111
% Current number of ordered equations: 0
% Current number of rules: 184
% Rule [227]
% commutator(inverse(Y),X) <-> commutator(multiply(X,commutator(Y,X)),Y) is composed into
% [227] commutator(inverse(Y),X) <-> commutator(X,Y)
% New rule produced :
% [238] commutator(multiply(X,commutator(Y,X)),Y) -> commutator(X,Y)
% Rule
% [228] commutator(multiply(X,commutator(Y,X)),Y) <-> commutator(inverse(Y),X)
% collapsed.
% Current number of equations to process: 3177
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [239] commutator(inverse(X),multiply(Y,commutator(Y,X))) -> commutator(Y,X)
% Current number of equations to process: 3186
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [240] commutator(multiply(X,Y),multiply(inverse(X),inverse(Y))) -> identity
% Current number of equations to process: 3352
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [241] commutator(multiply(X,inverse(Y)),multiply(inverse(X),Y)) -> identity
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [242] commutator(X,multiply(Y,commutator(Y,inverse(X)))) -> commutator(X,Y)
% Current number of equations to process: 3893
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [243] multiply(X,multiply(Y,multiply(commutator(Y,X),inverse(X)))) -> Y
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 189
% Rule [190]
% multiply(inverse(Y),X) <->
% multiply(commutator(X,Y),multiply(X,inverse(Y))) is composed into
% [190]
% multiply(inverse(Y),X) <-> multiply(X,multiply(commutator(X,Y),inverse(Y)))
% New rule produced :
% [244]
% multiply(commutator(X,Y),multiply(X,Z)) ->
% multiply(X,multiply(commutator(X,Y),Z))
% Rule [53] multiply(commutator(X,Y),multiply(X,commutator(Y,X))) -> X
% collapsed.
% Rule
% [189]
% multiply(commutator(X,Y),multiply(X,inverse(Y))) <-> multiply(inverse(Y),X)
% collapsed.
% Rule [232] multiply(commutator(X,inverse(Y)),multiply(X,Y)) -> multiply(Y,X)
% collapsed.
% Current number of equations to process: 2286
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [245]
% multiply(X,multiply(inverse(Y),inverse(X))) <->
% multiply(commutator(inverse(X),Y),inverse(Y))
% Current number of equations to process: 2385
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [246]
% multiply(commutator(inverse(X),Y),inverse(Y)) <->
% multiply(X,multiply(inverse(Y),inverse(X)))
% Current number of equations to process: 2385
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [247]
% multiply(commutator(X,commutator(Y,Z)),Z) ->
% multiply(Z,commutator(X,commutator(Y,Z)))
% Current number of equations to process: 2443
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [248]
% multiply(commutator(Y,X),multiply(X,Z)) ->
% multiply(X,multiply(commutator(Y,X),Z))
% Rule [69] multiply(commutator(X,Y),multiply(Y,commutator(Y,X))) -> Y
% collapsed.
% Rule [195] multiply(commutator(X,Y),multiply(Y,X)) -> multiply(X,Y)
% collapsed.
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [249]
% multiply(commutator(X,commutator(Y,Z)),Y) ->
% multiply(Y,commutator(X,commutator(Y,Z)))
% Current number of equations to process: 2631
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [250]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(Y,commutator(Z,commutator(V_3,X)))
% Current number of equations to process: 2681
% Current number of ordered equations: 5
% Current number of rules: 191
% New rule produced :
% [251]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(Z,commutator(X,commutator(Y,V_3)))
% Current number of equations to process: 2681
% Current number of ordered equations: 4
% Current number of rules: 192
% New rule produced :
% [252]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(Z,commutator(V_3,commutator(X,Y)))
% Current number of equations to process: 2681
% Current number of ordered equations: 2
% Current number of rules: 193
% New rule produced :
% [253]
% commutator(Y,commutator(Z,commutator(V_3,X))) <->
% commutator(X,commutator(Y,commutator(Z,V_3)))
% Current number of equations to process: 2681
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [254]
% commutator(Z,commutator(X,commutator(Y,V_3))) <->
% commutator(X,commutator(Y,commutator(Z,V_3)))
% Current number of equations to process: 2681
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [255]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(V_3,commutator(Y,commutator(Z,X)))
% Current number of equations to process: 3527
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [256]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(V_3,commutator(Y,commutator(X,Z)))
% Current number of equations to process: 3709
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [257]
% commutator(V_3,commutator(Y,commutator(X,Z))) <->
% commutator(X,commutator(Y,commutator(Z,V_3)))
% Current number of equations to process: 3709
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [258]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(Z,commutator(V_3,commutator(Y,X)))
% Current number of equations to process: 4083
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [259]
% commutator(Z,commutator(V_3,commutator(Y,X))) <->
% commutator(X,commutator(Y,commutator(Z,V_3)))
% Current number of equations to process: 4083
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [260] multiply(commutator(X,Y),multiply(inverse(X),multiply(Y,X))) -> Y
% Current number of equations to process: 4441
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [261]
% multiply(X,multiply(inverse(Y),multiply(inverse(X),Y))) -> commutator(Y,X)
% Current number of equations to process: 4503
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [262]
% multiply(X,multiply(inverse(Y),inverse(X))) <->
% multiply(inverse(Y),commutator(inverse(X),Y))
% Current number of equations to process: 4517
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [263]
% multiply(inverse(Y),commutator(inverse(X),Y)) <->
% multiply(X,multiply(inverse(Y),inverse(X)))
% Current number of equations to process: 4517
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [264] multiply(commutator(X,inverse(Y)),multiply(Y,commutator(X,Y))) -> Y
% Current number of equations to process: 4574
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [265] multiply(commutator(X,Y),multiply(commutator(X,inverse(Y)),Z)) -> Z
% Current number of equations to process: 4614
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [266] multiply(commutator(X,inverse(Y)),multiply(commutator(X,Y),Z)) -> Z
% Current number of equations to process: 4614
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [267]
% multiply(inverse(Y),multiply(inverse(X),Y)) <->
% multiply(commutator(X,inverse(Y)),inverse(X))
% Current number of equations to process: 4705
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [268]
% multiply(commutator(X,inverse(Y)),inverse(X)) <->
% multiply(inverse(Y),multiply(inverse(X),Y))
% Current number of equations to process: 4705
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [269]
% multiply(inverse(X),commutator(X,inverse(Y))) <->
% multiply(inverse(Y),multiply(inverse(X),Y))
% Current number of equations to process: 4761
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [270]
% multiply(inverse(Y),multiply(inverse(X),Y)) <->
% multiply(inverse(X),commutator(X,inverse(Y)))
% Current number of equations to process: 4761
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [271]
% multiply(inverse(X),commutator(inverse(X),Y)) <->
% multiply(commutator(X,inverse(Y)),inverse(X))
% Current number of equations to process: 4815
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [272]
% multiply(commutator(X,inverse(Y)),inverse(X)) <->
% multiply(inverse(X),commutator(inverse(X),Y))
% Current number of equations to process: 4815
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [273] multiply(commutator(X,Y),multiply(commutator(inverse(X),Y),Z)) -> Z
% Current number of equations to process: 4877
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [274] multiply(commutator(inverse(X),Y),multiply(commutator(X,Y),Z)) -> Z
% Current number of equations to process: 4877
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [275]
% multiply(inverse(X),commutator(Y,inverse(X))) <->
% multiply(commutator(inverse(Y),X),inverse(X))
% Current number of equations to process: 1479
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [276]
% multiply(commutator(inverse(Y),X),inverse(X)) <->
% multiply(inverse(X),commutator(Y,inverse(X)))
% Current number of equations to process: 1479
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [277] multiply(commutator(inverse(X),Y),multiply(X,commutator(X,Y))) -> X
% Current number of equations to process: 1524
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [278]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(V_3,commutator(Z,commutator(Y,X)))
% Current number of equations to process: 1586
% Current number of ordered equations: 2
% Current number of rules: 219
% New rule produced :
% [279]
% commutator(X,multiply(Z,Y)) <->
% commutator(inverse(X),multiply(inverse(Y),inverse(Z)))
% Current number of equations to process: 1769
% Current number of ordered equations: 5
% Current number of rules: 220
% New rule produced :
% [280]
% commutator(inverse(X),multiply(inverse(Y),inverse(Z))) <->
% commutator(X,multiply(Z,Y))
% Current number of equations to process: 1769
% Current number of ordered equations: 4
% Current number of rules: 221
% New rule produced :
% [281]
% commutator(multiply(Y,X),Z) <->
% commutator(multiply(inverse(X),inverse(Y)),inverse(Z))
% Current number of equations to process: 1769
% Current number of ordered equations: 3
% Current number of rules: 222
% New rule produced :
% [282]
% commutator(multiply(inverse(X),inverse(Y)),inverse(Z)) <->
% commutator(multiply(Y,X),Z)
% Current number of equations to process: 1769
% Current number of ordered equations: 2
% Current number of rules: 223
% New rule produced :
% [283]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(Z,commutator(Y,commutator(X,V_3)))
% Current number of equations to process: 2179
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [284]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(V_3,commutator(X,commutator(Z,Y)))
% Current number of equations to process: 2370
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [285]
% commutator(V_3,commutator(X,commutator(Z,Y))) <->
% commutator(X,commutator(Y,commutator(Z,V_3)))
% Current number of equations to process: 2370
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [286]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(Y,commutator(V_3,commutator(X,Z)))
% Current number of equations to process: 2743
% Current number of ordered equations: 2
% Current number of rules: 227
% New rule produced :
% [287]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(Z,commutator(X,commutator(V_3,Y)))
% Current number of equations to process: 2743
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [288]
% multiply(X,multiply(Y,multiply(inverse(X),inverse(Y)))) -> commutator(X,Y)
% Current number of equations to process: 3088
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [289]
% commutator(X,commutator(Y,commutator(Z,V_3))) <->
% commutator(Y,commutator(X,commutator(V_3,Z)))
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [290]
% commutator(multiply(X,Y),multiply(X,commutator(X,Y))) -> commutator(Y,X)
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [291]
% commutator(X,commutator(Y,Z)) <->
% commutator(Z,commutator(multiply(Y,inverse(Z)),X))
% Current number of equations to process: 3220
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [292]
% commutator(Z,commutator(multiply(Y,inverse(Z)),X)) <->
% commutator(X,commutator(Y,Z))
% Current number of equations to process: 3220
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [293]
% commutator(Z,commutator(X,multiply(Y,inverse(Z)))) ->
% commutator(X,commutator(Y,Z))
% Current number of equations to process: 3635
% Current number of ordered equations: 0
% Current number of rules: 234
% Rule [291]
% commutator(X,commutator(Y,Z)) <->
% commutator(Z,commutator(multiply(Y,inverse(Z)),X)) is composed into
% [291] commutator(X,commutator(Y,Z)) <-> commutator(Y,commutator(Z,X))
% New rule produced :
% [294]
% commutator(Y,commutator(multiply(X,inverse(Y)),Z)) ->
% commutator(X,commutator(Y,Z))
% Rule
% [292]
% commutator(Z,commutator(multiply(Y,inverse(Z)),X)) <->
% commutator(X,commutator(Y,Z)) collapsed.
% Current number of equations to process: 3740
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [295]
% commutator(X,multiply(commutator(inverse(X),Y),inverse(Y))) ->
% commutator(Y,X)
% Current number of equations to process: 3857
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [296]
% commutator(inverse(X),multiply(Y,multiply(Z,X))) ->
% commutator(multiply(Y,Z),X)
% Current number of equations to process: 3894
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [297]
% commutator(inverse(X),multiply(commutator(Y,X),inverse(Y))) ->
% commutator(X,Y)
% Current number of equations to process: 3946
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [298]
% commutator(inverse(X),multiply(inverse(Y),commutator(Y,X))) ->
% commutator(X,Y)
% Current number of equations to process: 3979
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [299]
% commutator(X,commutator(Y,Z)) <->
% commutator(Z,commutator(multiply(inverse(Z),Y),X))
% Current number of equations to process: 4013
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [300]
% commutator(Z,commutator(multiply(inverse(Z),Y),X)) <->
% commutator(X,commutator(Y,Z))
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [301]
% commutator(Z,commutator(X,multiply(inverse(Z),Y))) ->
% commutator(X,commutator(Y,Z))
% Current number of equations to process: 4424
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [302]
% commutator(Y,multiply(inverse(X),commutator(inverse(Y),X))) ->
% commutator(X,Y)
% Current number of equations to process: 4527
% Current number of ordered equations: 0
% Current number of rules: 242
% Rule [299]
% commutator(X,commutator(Y,Z)) <->
% commutator(Z,commutator(multiply(inverse(Z),Y),X)) is composed into
% [299] commutator(X,commutator(Y,Z)) <-> commutator(Y,commutator(Z,X))
% New rule produced :
% [303]
% commutator(Y,commutator(multiply(inverse(Y),X),Z)) ->
% commutator(X,commutator(Y,Z))
% Rule
% [300]
% commutator(Z,commutator(multiply(inverse(Z),Y),X)) <->
% commutator(X,commutator(Y,Z)) collapsed.
% Current number of equations to process: 4569
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [304]
% multiply(inverse(Y),multiply(X,multiply(Y,inverse(X)))) -> commutator(X,Y)
% Current number of equations to process: 4644
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [305]
% commutator(inverse(X),multiply(Y,commutator(X,inverse(Y)))) ->
% commutator(Y,X)
% Current number of equations to process: 4650
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [306]
% commutator(X,commutator(multiply(inverse(Y),multiply(X,Y)),Z)) -> identity
% Current number of equations to process: 4670
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [307]
% commutator(X,commutator(Y,multiply(inverse(Z),multiply(X,Z)))) -> identity
% Current number of equations to process: 4729
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [308]
% commutator(multiply(X,Y),multiply(Y,commutator(Y,X))) -> commutator(X,Y)
% Current number of equations to process: 4745
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [309]
% commutator(multiply(X,commutator(X,Y)),multiply(Y,X)) -> commutator(X,Y)
% Current number of equations to process: 4858
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [310]
% commutator(multiply(X,commutator(X,Y)),multiply(X,Y)) -> commutator(X,Y)
% Current number of equations to process: 4963
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [311]
% commutator(inverse(X),multiply(Y,commutator(inverse(Y),X))) ->
% commutator(Y,X)
% Current number of equations to process: 1725
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [312]
% commutator(X,commutator(multiply(Y,multiply(X,inverse(Y))),Z)) -> identity
% Current number of equations to process: 1711
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [313]
% commutator(X,commutator(Y,multiply(Z,multiply(X,inverse(Z))))) -> identity
% Current number of equations to process: 1764
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [314]
% commutator(multiply(X,Y),multiply(X,commutator(Y,X))) -> commutator(Y,X)
% Current number of equations to process: 1746
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [315]
% commutator(multiply(X,Y),multiply(Y,commutator(X,Y))) -> commutator(X,Y)
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [316]
% commutator(inverse(X),multiply(inverse(Y),commutator(X,Y))) ->
% commutator(X,Y)
% Current number of equations to process: 1979
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [317]
% commutator(inverse(X),multiply(commutator(X,Y),inverse(Y))) ->
% commutator(X,Y)
% Current number of equations to process: 2004
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [318]
% commutator(multiply(X,commutator(Y,X)),multiply(X,Y)) -> commutator(X,Y)
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [319]
% commutator(X,multiply(commutator(Y,inverse(X)),inverse(Y))) ->
% commutator(Y,X)
% Current number of equations to process: 2110
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [320]
% commutator(multiply(X,commutator(Y,X)),multiply(Y,X)) -> commutator(X,Y)
% Current number of equations to process: 2111
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [321]
% commutator(X,multiply(inverse(Y),commutator(Y,inverse(X)))) ->
% commutator(Y,X)
% Current number of equations to process: 1982
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [322]
% commutator(multiply(inverse(X),multiply(Y,multiply(X,Y))),Y) -> identity
% Current number of equations to process: 1893
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [323] commutator(multiply(X,multiply(X,Y)),multiply(Y,X)) -> commutator(X,Y)
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [324]
% commutator(X,multiply(inverse(Y),multiply(X,multiply(Y,X)))) -> identity
% Current number of equations to process: 2068
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [325] commutator(multiply(X,Y),multiply(Y,multiply(Y,X))) -> commutator(X,Y)
% Current number of equations to process: 2115
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [326] commutator(multiply(X,multiply(Y,Y)),multiply(Y,X)) -> commutator(Y,X)
% Current number of equations to process: 2219
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [327] commutator(multiply(X,multiply(Y,X)),multiply(X,Y)) -> commutator(X,Y)
% Current number of equations to process: 2308
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [328] commutator(multiply(X,Y),multiply(Y,multiply(X,X))) -> commutator(Y,X)
% Current number of equations to process: 2390
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [329] commutator(multiply(X,Y),multiply(X,multiply(Y,X))) -> commutator(Y,X)
% Current number of equations to process: 2473
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [330]
% commutator(multiply(X,multiply(Y,multiply(inverse(X),Y))),Y) -> identity
% Current number of equations to process: 2557
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [331]
% commutator(X,multiply(Y,multiply(X,multiply(inverse(Y),X)))) -> identity
% Current number of equations to process: 2612
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [332]
% multiply(commutator(X,Y),multiply(inverse(X),commutator(Y,X))) -> inverse(X)
% Current number of equations to process: 2651
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [333]
% multiply(commutator(X,Y),multiply(inverse(Y),commutator(Y,X))) -> inverse(Y)
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [334]
% multiply(X,multiply(commutator(Y,inverse(X)),inverse(Y))) <->
% multiply(inverse(Y),X)
% Current number of equations to process: 2747
% Current number of ordered equations: 1
% Current number of rules: 273
% New rule produced :
% [335]
% multiply(inverse(Y),X) <->
% multiply(X,multiply(commutator(Y,inverse(X)),inverse(Y)))
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [336]
% multiply(X,multiply(inverse(Y),commutator(Y,inverse(X)))) ->
% multiply(inverse(Y),X)
% Current number of equations to process: 2844
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [337]
% multiply(Y,inverse(X)) <->
% multiply(inverse(X),multiply(Y,commutator(inverse(Y),X)))
% Current number of equations to process: 2860
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [338]
% multiply(inverse(X),multiply(Y,commutator(inverse(Y),X))) <->
% multiply(Y,inverse(X))
% Current number of equations to process: 2860
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [339]
% multiply(commutator(inverse(X),Y),multiply(inverse(Y),X)) ->
% multiply(X,inverse(Y))
% Current number of equations to process: 2943
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [340]
% commutator(X,multiply(Y,multiply(Z,inverse(X)))) ->
% commutator(multiply(Y,Z),inverse(X))
% Current number of equations to process: 2961
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [341]
% multiply(inverse(X),Y) <->
% multiply(commutator(X,inverse(Y)),multiply(Y,inverse(X)))
% Current number of equations to process: 3021
% Current number of ordered equations: 1
% Current number of rules: 280
% New rule produced :
% [342]
% multiply(commutator(X,inverse(Y)),multiply(Y,inverse(X))) <->
% multiply(inverse(X),Y)
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [343]
% commutator(Y,inverse(X)) <->
% commutator(multiply(X,multiply(Y,commutator(X,Y))),Y)
% Current number of equations to process: 3088
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [344]
% commutator(multiply(X,multiply(Y,commutator(X,Y))),Y) <->
% commutator(Y,inverse(X))
% Current number of equations to process: 3088
% Current number of ordered equations: 0
% Current number of rules: 283
% Rule [343]
% commutator(Y,inverse(X)) <->
% commutator(multiply(X,multiply(Y,commutator(X,Y))),Y) is composed into
% [343] commutator(Y,inverse(X)) <-> commutator(X,Y)
% New rule produced :
% [345]
% commutator(multiply(X,multiply(Y,commutator(X,Y))),Y) -> commutator(X,Y)
% Rule
% [344]
% commutator(multiply(X,multiply(Y,commutator(X,Y))),Y) <->
% commutator(Y,inverse(X)) collapsed.
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [346]
% commutator(X,multiply(Y,multiply(X,commutator(Y,X)))) -> commutator(X,Y)
% Current number of equations to process: 3303
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [347]
% multiply(Y,multiply(commutator(Y,X),Z)) <->
% multiply(inverse(X),multiply(Y,multiply(X,Z)))
% Current number of equations to process: 3413
% Current number of ordered equations: 1
% Current number of rules: 285
% New rule produced :
% [348]
% multiply(inverse(X),multiply(Y,multiply(X,Z))) <->
% multiply(Y,multiply(commutator(Y,X),Z))
% Current number of equations to process: 3413
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [349]
% multiply(Y,multiply(X,multiply(commutator(X,Y),Z))) ->
% multiply(X,multiply(Y,Z))
% Rule [243] multiply(X,multiply(Y,multiply(commutator(Y,X),inverse(X)))) -> Y
% collapsed.
% Current number of equations to process: 3711
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [350]
% commutator(multiply(inverse(X),inverse(Y)),commutator(multiply(Y,X),Z)) ->
% identity
% Current number of equations to process: 3883
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [351]
% commutator(multiply(X,Y),commutator(multiply(inverse(Y),inverse(X)),Z)) ->
% identity
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [352]
% multiply(commutator(X,Y),multiply(inverse(Y),inverse(X))) <->
% multiply(inverse(X),inverse(Y))
% Current number of equations to process: 4092
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [353]
% multiply(inverse(X),inverse(Y)) <->
% multiply(commutator(X,Y),multiply(inverse(Y),inverse(X)))
% Current number of equations to process: 4092
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [354]
% commutator(multiply(inverse(X),inverse(Y)),commutator(Z,multiply(Y,X))) ->
% identity
% Current number of equations to process: 4187
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [355]
% multiply(commutator(inverse(X),Y),multiply(X,commutator(Y,inverse(X)))) -> X
% Current number of equations to process: 4237
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [356]
% commutator(multiply(X,Y),commutator(Z,multiply(inverse(Y),inverse(X)))) ->
% identity
% Current number of equations to process: 4273
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [357]
% multiply(commutator(X,commutator(Y,Z)),commutator(Y,commutator(Z,X))) ->
% identity
% Current number of equations to process: 4318
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [358]
% multiply(commutator(X,commutator(Y,Z)),commutator(Z,commutator(X,Y))) ->
% identity
% Current number of equations to process: 4318
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [359]
% multiply(commutator(X,inverse(Y)),multiply(Y,commutator(inverse(Y),X))) -> Y
% Current number of equations to process: 4619
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [360]
% commutator(X,commutator(Y,commutator(Z,commutator(V_3,commutator(X,V_4)))))
% -> identity
% Current number of equations to process: 4653
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [361]
% commutator(X,commutator(Y,commutator(Z,commutator(V_3,commutator(V_4,X)))))
% -> identity
% Current number of equations to process: 4740
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [362]
% commutator(multiply(inverse(X),Y),commutator(multiply(inverse(Y),X),Z)) ->
% identity
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [363]
% commutator(multiply(inverse(X),Y),commutator(Z,multiply(inverse(Y),X))) ->
% identity
% Current number of equations to process: 4909
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [364]
% commutator(multiply(X,inverse(Y)),commutator(multiply(Y,inverse(X)),Z)) ->
% identity
% Current number of equations to process: 4947
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [365]
% commutator(multiply(X,inverse(Y)),commutator(Z,multiply(Y,inverse(X)))) ->
% identity
% Current number of equations to process: 2013
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [366]
% multiply(commutator(inverse(X),Y),multiply(X,multiply(Y,inverse(X)))) -> Y
% Current number of equations to process: 2040
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [367]
% multiply(X,multiply(commutator(Y,X),Z)) <->
% multiply(Y,multiply(X,multiply(inverse(Y),Z)))
% Current number of equations to process: 2072
% Current number of ordered equations: 1
% Current number of rules: 304
% New rule produced :
% [368]
% multiply(Y,multiply(X,multiply(inverse(Y),Z))) <->
% multiply(X,multiply(commutator(Y,X),Z))
% Current number of equations to process: 2072
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [369]
% multiply(inverse(X),multiply(commutator(Y,X),inverse(Y))) <->
% multiply(inverse(Y),inverse(X))
% Current number of equations to process: 2392
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [370]
% multiply(inverse(Y),inverse(X)) <->
% multiply(inverse(X),multiply(commutator(Y,X),inverse(Y)))
% Current number of equations to process: 2392
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [371]
% multiply(inverse(X),multiply(inverse(Y),commutator(Y,X))) <->
% multiply(inverse(Y),inverse(X))
% Current number of equations to process: 2477
% Current number of ordered equations: 1
% Current number of rules: 308
% New rule produced :
% [372]
% multiply(inverse(Y),inverse(X)) <->
% multiply(inverse(X),multiply(inverse(Y),commutator(Y,X)))
% Current number of equations to process: 2477
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [373]
% multiply(commutator(X,commutator(Y,Z)),commutator(X,commutator(Y,Z))) ->
% identity
% Current number of equations to process: 2536
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [374]
% multiply(commutator(X,commutator(Y,Z)),commutator(X,commutator(Z,Y))) ->
% identity
% Current number of equations to process: 2649
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [375]
% multiply(commutator(X,commutator(Y,Z)),commutator(Y,commutator(X,Z))) ->
% identity
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [376]
% multiply(commutator(X,commutator(Y,Z)),commutator(Z,commutator(Y,X))) ->
% identity
% Current number of equations to process: 2950
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [377]
% commutator(multiply(V_3,commutator(Z,Y)),X) <->
% commutator(X,multiply(commutator(Y,Z),inverse(V_3)))
% Current number of equations to process: 3019
% Current number of ordered equations: 3
% Current number of rules: 314
% New rule produced :
% [378]
% commutator(multiply(commutator(V_3,Z),Y),X) <->
% commutator(X,multiply(inverse(Y),commutator(Z,V_3)))
% Current number of equations to process: 3019
% Current number of ordered equations: 2
% Current number of rules: 315
% New rule produced :
% [379]
% commutator(X,multiply(commutator(Y,Z),inverse(V_3))) <->
% commutator(multiply(V_3,commutator(Z,Y)),X)
% Rule
% [221]
% commutator(X,multiply(commutator(X,Y),inverse(Y))) ->
% commutator(X,inverse(Y)) collapsed.
% Rule
% [225]
% commutator(X,multiply(commutator(Y,X),inverse(Y))) ->
% commutator(X,inverse(Y)) collapsed.
% Rule
% [295]
% commutator(X,multiply(commutator(inverse(X),Y),inverse(Y))) ->
% commutator(Y,X) collapsed.
% Rule
% [319]
% commutator(X,multiply(commutator(Y,inverse(X)),inverse(Y))) ->
% commutator(Y,X) collapsed.
% Current number of equations to process: 3019
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [380]
% commutator(X,multiply(inverse(Y),commutator(Z,V_3))) <->
% commutator(multiply(commutator(V_3,Z),Y),X)
% Current number of equations to process: 3019
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [381]
% commutator(Z,multiply(X,commutator(Y,X))) <->
% commutator(multiply(inverse(X),commutator(X,Y)),Z)
% Current number of equations to process: 4067
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [382]
% commutator(multiply(inverse(X),commutator(X,Y)),Z) <->
% commutator(Z,multiply(X,commutator(Y,X)))
% Rule
% [229] commutator(multiply(inverse(X),commutator(X,Y)),Y) -> commutator(Y,X)
% collapsed.
% Current number of equations to process: 4067
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [383]
% commutator(Z,multiply(X,commutator(Y,X))) <->
% commutator(multiply(commutator(X,Y),inverse(X)),Z)
% Current number of equations to process: 4531
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [384]
% commutator(multiply(commutator(X,Y),inverse(X)),Z) <->
% commutator(Z,multiply(X,commutator(Y,X)))
% Rule
% [224]
% commutator(multiply(commutator(X,Y),inverse(X)),Y) ->
% commutator(inverse(X),Y) collapsed.
% Current number of equations to process: 4531
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [385]
% commutator(Z,multiply(inverse(X),commutator(Y,X))) <->
% commutator(multiply(X,commutator(X,Y)),Z)
% Rule
% [223]
% commutator(X,multiply(inverse(Y),commutator(X,Y))) ->
% commutator(X,inverse(Y)) collapsed.
% Rule
% [302]
% commutator(Y,multiply(inverse(X),commutator(inverse(Y),X))) ->
% commutator(X,Y) collapsed.
% Current number of equations to process: 4978
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [386]
% commutator(multiply(X,commutator(X,Y)),Z) <->
% commutator(Z,multiply(inverse(X),commutator(Y,X)))
% Current number of equations to process: 4978
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [387]
% commutator(Z,multiply(inverse(X),commutator(X,Y))) <->
% commutator(multiply(X,commutator(Y,X)),Z)
% Rule
% [226]
% commutator(X,multiply(inverse(Y),commutator(Y,X))) ->
% commutator(X,inverse(Y)) collapsed.
% Rule
% [321]
% commutator(X,multiply(inverse(Y),commutator(Y,inverse(X)))) ->
% commutator(Y,X) collapsed.
% Current number of equations to process: 1478
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [388]
% commutator(multiply(X,commutator(Y,X)),Z) <->
% commutator(Z,multiply(inverse(X),commutator(X,Y)))
% Current number of equations to process: 1478
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [389]
% commutator(Z,multiply(X,commutator(X,Y))) <->
% commutator(multiply(inverse(X),commutator(Y,X)),Z)
% Current number of equations to process: 1939
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [390]
% commutator(multiply(inverse(X),commutator(Y,X)),Z) <->
% commutator(Z,multiply(X,commutator(X,Y)))
% Rule
% [218] commutator(multiply(inverse(X),commutator(Y,X)),Y) -> commutator(Y,X)
% collapsed.
% Current number of equations to process: 1939
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [391]
% commutator(Z,multiply(Y,commutator(Y,X))) <->
% commutator(multiply(commutator(X,Y),inverse(Y)),Z)
% Current number of equations to process: 2386
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [392]
% commutator(multiply(commutator(X,Y),inverse(Y)),Z) <->
% commutator(Z,multiply(Y,commutator(Y,X)))
% Rule
% [217] commutator(multiply(commutator(X,Y),inverse(Y)),X) -> commutator(X,Y)
% collapsed.
% Current number of equations to process: 2386
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [393]
% multiply(X,multiply(Y,commutator(X,Y))) <->
% multiply(inverse(Y),multiply(X,multiply(Y,Y)))
% Current number of equations to process: 2816
% Current number of ordered equations: 1
% Current number of rules: 318
% New rule produced :
% [394]
% multiply(inverse(Y),multiply(X,multiply(Y,Y))) <->
% multiply(X,multiply(Y,commutator(X,Y)))
% Current number of equations to process: 2816
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [395]
% multiply(commutator(multiply(X,X),Y),X) ->
% multiply(X,commutator(multiply(X,X),Y))
% Current number of equations to process: 2981
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [396]
% multiply(commutator(Y,multiply(X,X)),X) ->
% multiply(X,commutator(Y,multiply(X,X)))
% Current number of equations to process: 2980
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [397]
% commutator(X,commutator(Y,multiply(Z,commutator(X,Y)))) ->
% commutator(Z,commutator(X,Y))
% Current number of equations to process: 3124
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [398]
% commutator(Z,commutator(Y,multiply(commutator(Y,Z),X))) ->
% commutator(X,commutator(Y,Z))
% Current number of equations to process: 3379
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [399]
% commutator(X,commutator(Y,multiply(Z,commutator(Y,X)))) ->
% commutator(Z,commutator(Y,X))
% Current number of equations to process: 3666
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [400]
% commutator(multiply(X,commutator(inverse(Y),X)),multiply(X,Y)) ->
% commutator(X,Y)
% Current number of equations to process: 3922
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [401]
% multiply(commutator(inverse(X),Y),multiply(X,commutator(inverse(Y),X))) -> X
% Current number of equations to process: 3966
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [402]
% multiply(commutator(inverse(X),Y),multiply(commutator(inverse(Y),X),Z)) -> Z
% Current number of equations to process: 3996
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [403]
% multiply(commutator(X,inverse(Y)),multiply(commutator(Y,inverse(X)),Z)) -> Z
% Current number of equations to process: 4024
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [404]
% multiply(commutator(X,inverse(Y)),multiply(Y,commutator(Y,inverse(X)))) -> Y
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [405]
% commutator(V_3,multiply(Z,commutator(Y,X))) <->
% commutator(multiply(commutator(X,Y),inverse(Z)),V_3)
% Rule
% [383]
% commutator(Z,multiply(X,commutator(Y,X))) <->
% commutator(multiply(commutator(X,Y),inverse(X)),Z) collapsed.
% Rule
% [391]
% commutator(Z,multiply(Y,commutator(Y,X))) <->
% commutator(multiply(commutator(X,Y),inverse(Y)),Z) collapsed.
% Current number of equations to process: 4007
% Current number of ordered equations: 3
% Current number of rules: 328
% New rule produced :
% [406]
% commutator(V_3,multiply(commutator(Z,Y),X)) <->
% commutator(multiply(inverse(X),commutator(Y,Z)),V_3)
% Current number of equations to process: 4007
% Current number of ordered equations: 2
% Current number of rules: 329
% New rule produced :
% [407]
% commutator(multiply(commutator(X,Y),inverse(Z)),V_3) <->
% commutator(V_3,multiply(Z,commutator(Y,X)))
% Rule
% [384]
% commutator(multiply(commutator(X,Y),inverse(X)),Z) <->
% commutator(Z,multiply(X,commutator(Y,X))) collapsed.
% Rule
% [392]
% commutator(multiply(commutator(X,Y),inverse(Y)),Z) <->
% commutator(Z,multiply(Y,commutator(Y,X))) collapsed.
% Current number of equations to process: 4007
% Current number of ordered equations: 1
% Current number of rules: 328
% New rule produced :
% [408]
% commutator(multiply(inverse(X),commutator(Y,Z)),V_3) <->
% commutator(V_3,multiply(commutator(Z,Y),X))
% Current number of equations to process: 4256
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [409]
% multiply(X,multiply(Y,multiply(Y,commutator(Y,X)))) <->
% multiply(Y,multiply(X,Y))
% Current number of equations to process: 2317
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced :
% [410]
% multiply(Y,multiply(X,Y)) <->
% multiply(X,multiply(Y,multiply(Y,commutator(Y,X))))
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [411]
% multiply(Z,multiply(Z,commutator(X,Y))) <->
% multiply(commutator(X,Y),multiply(Z,Z))
% Current number of equations to process: 2534
% Current number of ordered equations: 1
% Current number of rules: 332
% New rule produced :
% [412]
% multiply(commutator(X,Y),multiply(Z,Z)) <->
% multiply(Z,multiply(Z,commutator(X,Y)))
% Current number of equations to process: 2534
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [413]
% commutator(multiply(X,Y),multiply(X,commutator(Y,inverse(X)))) ->
% commutator(Y,X)
% Current number of equations to process: 2915
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [414]
% commutator(multiply(X,Y),multiply(X,commutator(inverse(Y),X))) ->
% commutator(Y,X)
% Current number of equations to process: 2986
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [415]
% commutator(X,commutator(Y,commutator(multiply(X,commutator(Y,X)),Z))) ->
% identity
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [416]
% commutator(X,commutator(Y,commutator(Z,commutator(V_3,multiply(X,Y))))) ->
% identity
% Current number of equations to process: 3222
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [417]
% commutator(X,commutator(Y,commutator(Z,commutator(multiply(X,Y),V_3)))) ->
% identity
% Current number of equations to process: 3346
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [418]
% commutator(X,commutator(multiply(inverse(Y),multiply(inverse(X),Y)),Z)) ->
% identity
% Current number of equations to process: 3484
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [419]
% commutator(X,commutator(multiply(Y,commutator(X,Y)),Z)) ->
% commutator(Y,commutator(X,Z))
% Rule
% [415]
% commutator(X,commutator(Y,commutator(multiply(X,commutator(Y,X)),Z))) ->
% identity collapsed.
% Current number of equations to process: 3543
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [420]
% commutator(X,commutator(multiply(Y,multiply(inverse(X),inverse(Y))),Z)) ->
% identity
% Current number of equations to process: 3836
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [421]
% commutator(multiply(X,Y),multiply(Z,Y)) <->
% commutator(multiply(X,inverse(Z)),multiply(Z,Y))
% Current number of equations to process: 3897
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [422]
% commutator(multiply(X,inverse(Z)),multiply(Z,Y)) <->
% commutator(multiply(X,Y),multiply(Z,Y))
% Current number of equations to process: 3897
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [423]
% commutator(X,commutator(Y,multiply(inverse(Z),multiply(inverse(X),Z)))) ->
% identity
% Current number of equations to process: 4393
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [424]
% commutator(X,commutator(Y,multiply(Z,multiply(inverse(X),inverse(Z))))) ->
% identity
% Current number of equations to process: 4422
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [425]
% commutator(X,commutator(Y,multiply(commutator(X,Y),Z))) ->
% commutator(Z,commutator(X,Y))
% Current number of equations to process: 4425
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [426]
% commutator(multiply(X,multiply(Y,Z)),multiply(X,Y)) ->
% commutator(Z,multiply(X,Y))
% Rule
% [327] commutator(multiply(X,multiply(Y,X)),multiply(X,Y)) -> commutator(X,Y)
% collapsed.
% Current number of equations to process: 4670
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [427]
% multiply(Y,multiply(X,multiply(Y,commutator(X,Y)))) ->
% multiply(X,multiply(Y,Y))
% Current number of equations to process: 4919
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [428]
% commutator(multiply(X,Y),multiply(X,multiply(Y,Z))) ->
% commutator(multiply(X,Y),Z)
% Rule
% [329] commutator(multiply(X,Y),multiply(X,multiply(Y,X))) -> commutator(Y,X)
% collapsed.
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [429]
% commutator(X,multiply(commutator(Y,Z),multiply(X,commutator(Z,Y)))) ->
% identity
% Current number of equations to process: 1071
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [430]
% commutator(X,commutator(Y,Z)) <->
% commutator(Y,commutator(multiply(Z,commutator(Z,Y)),X))
% Current number of equations to process: 1232
% Current number of ordered equations: 1
% Current number of rules: 348
% New rule produced :
% [431]
% commutator(Y,commutator(multiply(Z,commutator(Z,Y)),X)) <->
% commutator(X,commutator(Y,Z))
% Current number of equations to process: 1232
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [432]
% commutator(Y,commutator(X,multiply(Z,commutator(Z,Y)))) ->
% commutator(X,commutator(Y,Z))
% Current number of equations to process: 1982
% Current number of ordered equations: 0
% Current number of rules: 350
% Rule [430]
% commutator(X,commutator(Y,Z)) <->
% commutator(Y,commutator(multiply(Z,commutator(Z,Y)),X)) is composed into
% [430] commutator(X,commutator(Y,Z)) <-> commutator(Y,commutator(Z,X))
% New rule produced :
% [433]
% commutator(X,commutator(multiply(Y,commutator(Y,X)),Z)) ->
% commutator(X,commutator(Y,Z))
% Rule
% [431]
% commutator(Y,commutator(multiply(Z,commutator(Z,Y)),X)) <->
% commutator(X,commutator(Y,Z)) collapsed.
% Current number of equations to process: 2263
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [434]
% commutator(multiply(X,Y),multiply(inverse(Y),commutator(X,Y))) ->
% commutator(Y,X)
% Current number of equations to process: 2554
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [435]
% commutator(multiply(inverse(X),commutator(Y,X)),multiply(Y,X)) ->
% commutator(Y,X)
% Current number of equations to process: 2665
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [436]
% commutator(multiply(X,Y),multiply(Z,Y)) <->
% commutator(multiply(X,Y),multiply(Z,inverse(X)))
% Current number of equations to process: 2762
% Current number of ordered equations: 1
% Current number of rules: 353
% New rule produced :
% [437]
% commutator(multiply(X,Y),multiply(Z,inverse(X))) <->
% commutator(multiply(X,Y),multiply(Z,Y))
% Current number of equations to process: 2762
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [438]
% commutator(multiply(X,inverse(Y)),commutator(multiply(inverse(X),Y),Z)) ->
% identity
% Current number of equations to process: 3258
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [439]
% commutator(multiply(inverse(X),Y),commutator(Z,multiply(X,inverse(Y)))) ->
% identity
% Current number of equations to process: 3384
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [440]
% commutator(multiply(X,inverse(Y)),commutator(Z,multiply(inverse(X),Y))) ->
% identity
% Current number of equations to process: 3458
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [441]
% commutator(multiply(inverse(X),Y),commutator(multiply(X,inverse(Y)),Z)) ->
% identity
% Current number of equations to process: 3513
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [442]
% commutator(X,commutator(Y,multiply(Z,commutator(X,Z)))) ->
% commutator(Y,commutator(X,Z))
% Current number of equations to process: 3567
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [443]
% commutator(Y,commutator(Z,multiply(X,multiply(Z,Y)))) ->
% commutator(X,commutator(Y,Z))
% Current number of equations to process: 3816
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [444]
% commutator(X,commutator(Y,commutator(Z,commutator(V_3,multiply(Y,X))))) ->
% identity
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [445]
% commutator(X,commutator(Y,commutator(Z,commutator(multiply(Y,X),V_3)))) ->
% identity
% Current number of equations to process: 4106
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [446]
% commutator(multiply(X,Y),commutator(multiply(inverse(X),inverse(Y)),Z)) ->
% identity
% Current number of equations to process: 4226
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [447]
% commutator(multiply(X,Y),commutator(Z,multiply(inverse(X),inverse(Y)))) ->
% identity
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [448]
% commutator(multiply(commutator(X,Y),multiply(Z,commutator(Y,X))),Z) ->
% identity
% Current number of equations to process: 4328
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [449]
% commutator(multiply(X,Y),multiply(inverse(Y),commutator(Y,X))) ->
% commutator(Y,X)
% Current number of equations to process: 4483
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [450]
% commutator(multiply(inverse(X),commutator(X,Y)),multiply(Y,X)) ->
% commutator(Y,X)
% Current number of equations to process: 4633
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [451]
% commutator(multiply(X,multiply(Y,Z)),multiply(Z,multiply(X,Y))) -> identity
% Current number of equations to process: 4754
% Current number of ordered equations: 1
% Current number of rules: 368
% New rule produced :
% [452]
% commutator(multiply(X,multiply(Y,Z)),multiply(Y,multiply(Z,X))) -> identity
% Current number of equations to process: 4754
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [453]
% commutator(multiply(X,Y),commutator(Z,commutator(V_3,multiply(Y,X)))) ->
% identity
% Current number of equations to process: 1605
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [454]
% commutator(multiply(X,Y),commutator(Z,commutator(multiply(Y,X),V_3))) ->
% identity
% Current number of equations to process: 1745
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [455]
% commutator(X,commutator(multiply(Y,multiply(X,Z)),multiply(Z,Y))) -> identity
% Current number of equations to process: 1851
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [456]
% multiply(X,multiply(Y,multiply(commutator(X,inverse(Y)),inverse(X)))) -> Y
% Current number of equations to process: 1981
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [457]
% multiply(Y,multiply(commutator(Y,X),Z)) <->
% multiply(commutator(X,inverse(Y)),multiply(Y,Z))
% Current number of equations to process: 2002
% Current number of ordered equations: 1
% Current number of rules: 374
% New rule produced :
% [458]
% multiply(commutator(X,inverse(Y)),multiply(Y,Z)) <->
% multiply(Y,multiply(commutator(Y,X),Z))
% Current number of equations to process: 2002
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [459]
% multiply(X,multiply(commutator(Y,X),Z)) <->
% multiply(commutator(inverse(X),Y),multiply(X,Z))
% Current number of equations to process: 2307
% Current number of ordered equations: 1
% Current number of rules: 376
% New rule produced :
% [460]
% multiply(commutator(inverse(X),Y),multiply(X,Z)) <->
% multiply(X,multiply(commutator(Y,X),Z))
% Current number of equations to process: 2307
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [461]
% multiply(commutator(inverse(X),Y),multiply(inverse(Y),multiply(X,Y))) -> X
% Current number of equations to process: 2623
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [462]
% commutator(multiply(X,Y),multiply(inverse(X),multiply(Y,X))) ->
% commutator(X,Y)
% Current number of equations to process: 2533
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [463]
% commutator(multiply(X,Y),multiply(Y,commutator(X,inverse(Y)))) ->
% commutator(X,Y)
% Current number of equations to process: 2604
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [464]
% commutator(multiply(X,Y),multiply(Y,commutator(inverse(X),Y))) ->
% commutator(X,Y)
% Current number of equations to process: 2685
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [465]
% commutator(multiply(inverse(X),multiply(Y,X)),multiply(X,Y)) ->
% commutator(Y,X)
% Current number of equations to process: 2775
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [466]
% commutator(multiply(X,commutator(Y,inverse(X))),multiply(Y,X)) ->
% commutator(X,Y)
% Current number of equations to process: 2810
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [467]
% commutator(multiply(X,commutator(inverse(Y),X)),multiply(Y,X)) ->
% commutator(X,Y)
% Current number of equations to process: 2869
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [468]
% commutator(multiply(X,commutator(Y,inverse(X))),multiply(X,Y)) ->
% commutator(X,Y)
% Current number of equations to process: 2938
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [469]
% commutator(multiply(X,multiply(Y,inverse(X))),multiply(Y,X)) ->
% commutator(Y,X)
% Current number of equations to process: 2965
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [470]
% commutator(multiply(inverse(X),Y),multiply(Y,commutator(Y,X))) ->
% commutator(Y,X)
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [471]
% commutator(multiply(X,Y),multiply(X,commutator(X,inverse(Y)))) ->
% commutator(Y,X)
% Current number of equations to process: 3133
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [472]
% commutator(multiply(X,Y),multiply(X,commutator(inverse(X),Y))) ->
% commutator(Y,X)
% Current number of equations to process: 3195
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [473]
% commutator(multiply(X,Y),multiply(Y,commutator(Y,inverse(X)))) ->
% commutator(X,Y)
% Current number of equations to process: 3308
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [474]
% commutator(multiply(X,Y),multiply(Y,commutator(inverse(Y),X))) ->
% commutator(X,Y)
% Current number of equations to process: 3389
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [475]
% commutator(multiply(X,Y),multiply(Y,multiply(X,inverse(Y)))) ->
% commutator(Y,X)
% Current number of equations to process: 3477
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [476]
% commutator(multiply(X,commutator(X,inverse(Y))),multiply(X,Y)) ->
% commutator(X,Y)
% Current number of equations to process: 3527
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [477]
% commutator(multiply(X,commutator(inverse(X),Y)),multiply(X,Y)) ->
% commutator(X,Y)
% Current number of equations to process: 3550
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [478]
% commutator(multiply(X,commutator(X,inverse(Y))),multiply(Y,X)) ->
% commutator(X,Y)
% Current number of equations to process: 3621
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [479]
% commutator(multiply(X,commutator(inverse(X),Y)),multiply(Y,X)) ->
% commutator(X,Y)
% Current number of equations to process: 3677
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [480]
% commutator(multiply(inverse(X),multiply(Y,commutator(Y,X))),Y) ->
% commutator(Y,X)
% Current number of equations to process: 3744
% Current number of ordered equations: 1
% Current number of rules: 397
% New rule produced :
% [481]
% commutator(X,commutator(Y,commutator(multiply(X,multiply(X,Y)),Z))) ->
% identity
% Current number of equations to process: 3837
% Current number of ordered equations: 1
% Current number of rules: 398
% New rule produced :
% [482] commutator(X,commutator(Y,commutator(Z,multiply(X,X)))) -> identity
% Current number of equations to process: 3847
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [483] commutator(X,commutator(Y,commutator(multiply(X,X),Z))) -> identity
% Current number of equations to process: 3848
% Current number of ordered equations: 1
% Current number of rules: 400
% New rule produced :
% [484]
% commutator(inverse(X),multiply(inverse(Y),multiply(X,multiply(Y,X)))) ->
% identity
% Current number of equations to process: 4118
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [485]
% commutator(X,multiply(inverse(Y),multiply(X,commutator(X,Y)))) ->
% commutator(Y,X)
% Current number of equations to process: 4147
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [486]
% commutator(multiply(X,inverse(Y)),multiply(X,commutator(X,Y))) ->
% commutator(X,Y)
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [487]
% commutator(multiply(X,commutator(X,Y)),multiply(X,inverse(Y))) ->
% commutator(Y,X)
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [488]
% commutator(X,commutator(Y,commutator(multiply(X,multiply(Y,Y)),Z))) ->
% identity
% Current number of equations to process: 4438
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [489]
% commutator(multiply(X,commutator(X,Y)),multiply(inverse(Y),X)) ->
% commutator(Y,X)
% Current number of equations to process: 4528
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [490]
% commutator(inverse(X),multiply(Y,multiply(X,multiply(inverse(Y),X)))) ->
% identity
% Current number of equations to process: 4611
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [491]
% multiply(X,multiply(commutator(X,inverse(Y)),multiply(Y,inverse(X)))) -> Y
% Current number of equations to process: 4624
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [492]
% commutator(multiply(X,multiply(Y,commutator(Y,inverse(X)))),Y) ->
% commutator(X,Y)
% Current number of equations to process: 4655
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [493]
% commutator(inverse(X),multiply(Y,multiply(X,commutator(Y,X)))) ->
% commutator(Y,X)
% Current number of equations to process: 4721
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [494]
% commutator(X,multiply(Y,multiply(X,commutator(X,inverse(Y))))) ->
% commutator(X,Y)
% Current number of equations to process: 4782
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [495]
% commutator(X,multiply(Y,multiply(X,commutator(inverse(X),Y)))) ->
% commutator(X,Y)
% Current number of equations to process: 4847
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [496]
% multiply(X,multiply(X,commutator(X,Y))) <->
% multiply(inverse(Y),multiply(X,multiply(Y,X)))
% Current number of equations to process: 4928
% Current number of ordered equations: 1
% Current number of rules: 413
% New rule produced :
% [497]
% multiply(inverse(Y),multiply(X,multiply(Y,X))) <->
% multiply(X,multiply(X,commutator(X,Y)))
% Current number of equations to process: 4928
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [498]
% multiply(X,multiply(Y,multiply(Y,X))) <->
% multiply(Y,multiply(X,multiply(X,Y)))
% Current number of equations to process: 4950
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [499]
% multiply(X,multiply(X,commutator(Y,X))) <->
% multiply(Y,multiply(X,multiply(inverse(Y),X)))
% Current number of equations to process: 2509
% Current number of ordered equations: 1
% Current number of rules: 416
% New rule produced :
% [500]
% multiply(Y,multiply(X,multiply(inverse(Y),X))) <->
% multiply(X,multiply(X,commutator(Y,X)))
% Current number of equations to process: 2509
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [501]
% commutator(multiply(inverse(X),multiply(Y,multiply(X,X))),Y) ->
% commutator(X,Y)
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [502]
% commutator(Y,inverse(X)) <->
% commutator(X,multiply(Y,commutator(multiply(Y,Y),X)))
% Current number of equations to process: 2777
% Current number of ordered equations: 1
% Current number of rules: 419
% New rule produced :
% [503]
% commutator(X,multiply(Y,commutator(multiply(Y,Y),X))) <->
% commutator(Y,inverse(X))
% Current number of equations to process: 2777
% Current number of ordered equations: 0
% Current number of rules: 420
% Rule [502]
% commutator(Y,inverse(X)) <->
% commutator(X,multiply(Y,commutator(multiply(Y,Y),X))) is composed into
% [502] commutator(Y,inverse(X)) <-> commutator(X,Y)
% New rule produced :
% [504]
% commutator(X,multiply(Y,commutator(multiply(Y,Y),X))) -> commutator(X,Y)
% Rule
% [503]
% commutator(X,multiply(Y,commutator(multiply(Y,Y),X))) <->
% commutator(Y,inverse(X)) collapsed.
% Current number of equations to process: 2811
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [505]
% commutator(multiply(X,commutator(multiply(X,X),Y)),Y) -> commutator(X,Y)
% Current number of equations to process: 2989
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [506]
% commutator(Y,inverse(X)) <->
% commutator(X,multiply(Y,commutator(X,multiply(Y,Y))))
% Current number of equations to process: 3187
% Current number of ordered equations: 1
% Current number of rules: 422
% New rule produced :
% [507]
% commutator(X,multiply(Y,commutator(X,multiply(Y,Y)))) <->
% commutator(Y,inverse(X))
% Current number of equations to process: 3187
% Current number of ordered equations: 0
% Current number of rules: 423
% Rule [506]
% commutator(Y,inverse(X)) <->
% commutator(X,multiply(Y,commutator(X,multiply(Y,Y)))) is composed into
% [506] commutator(Y,inverse(X)) <-> commutator(X,Y)
% New rule produced :
% [508]
% commutator(X,multiply(Y,commutator(X,multiply(Y,Y)))) -> commutator(X,Y)
% Rule
% [507]
% commutator(X,multiply(Y,commutator(X,multiply(Y,Y)))) <->
% commutator(Y,inverse(X)) collapsed.
% Current number of equations to process: 3188
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [509]
% commutator(multiply(X,commutator(Y,multiply(X,X))),Y) -> commutator(X,Y)
% Current number of equations to process: 3335
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [510]
% commutator(X,multiply(inverse(Y),multiply(X,multiply(Y,Y)))) ->
% commutator(X,Y)
% Current number of equations to process: 3445
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [511]
% multiply(X,multiply(X,commutator(Y,Z))) <->
% multiply(commutator(Z,inverse(Y)),multiply(X,X))
% Current number of equations to process: 3473
% Current number of ordered equations: 1
% Current number of rules: 426
% New rule produced :
% [512]
% multiply(commutator(Z,inverse(Y)),multiply(X,X)) <->
% multiply(X,multiply(X,commutator(Y,Z)))
% Current number of equations to process: 3473
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [513]
% multiply(X,multiply(X,commutator(Y,Z))) <->
% multiply(commutator(inverse(Z),Y),multiply(X,X))
% Current number of equations to process: 3747
% Current number of ordered equations: 1
% Current number of rules: 428
% New rule produced :
% [514]
% multiply(commutator(inverse(Z),Y),multiply(X,X)) <->
% multiply(X,multiply(X,commutator(Y,Z)))
% Current number of equations to process: 3747
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [515]
% multiply(X,multiply(X,commutator(Y,inverse(Z)))) <->
% multiply(commutator(Z,Y),multiply(X,X))
% Current number of equations to process: 4053
% Current number of ordered equations: 1
% Current number of rules: 430
% New rule produced :
% [516]
% multiply(commutator(Z,Y),multiply(X,X)) <->
% multiply(X,multiply(X,commutator(Y,inverse(Z))))
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [517]
% multiply(X,multiply(X,commutator(inverse(Y),Z))) <->
% multiply(commutator(Z,Y),multiply(X,X))
% Current number of equations to process: 4312
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [518]
% multiply(commutator(Z,Y),multiply(X,X)) <->
% multiply(X,multiply(X,commutator(inverse(Y),Z)))
% Current number of equations to process: 4312
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [519]
% commutator(multiply(X,Y),multiply(X,inverse(Z))) <->
% commutator(multiply(Z,Y),multiply(X,Y))
% Current number of equations to process: 4568
% Current number of ordered equations: 1
% Current number of rules: 434
% New rule produced :
% [520]
% commutator(multiply(Z,Y),multiply(X,Y)) <->
% commutator(multiply(X,Y),multiply(X,inverse(Z)))
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [521]
% commutator(multiply(X,Y),multiply(X,Z)) <->
% commutator(multiply(inverse(Z),Y),multiply(X,Y))
% Current number of equations to process: 2251
% Current number of ordered equations: 1
% Current number of rules: 436
% New rule produced :
% [522]
% commutator(multiply(inverse(Z),Y),multiply(X,Y)) <->
% commutator(multiply(X,Y),multiply(X,Z))
% Current number of equations to process: 2251
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [523]
% commutator(multiply(X,commutator(Y,X)),multiply(Y,inverse(X))) ->
% commutator(X,Y)
% Current number of equations to process: 2980
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [524]
% commutator(multiply(X,Y),multiply(X,Z)) <->
% commutator(multiply(inverse(Z),Y),multiply(X,Z))
% Current number of equations to process: 3089
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced :
% [525]
% commutator(multiply(inverse(Z),Y),multiply(X,Z)) <->
% commutator(multiply(X,Y),multiply(X,Z))
% Current number of equations to process: 3089
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [526]
% commutator(multiply(X,inverse(Y)),multiply(Y,commutator(X,Y))) ->
% commutator(X,Y)
% Current number of equations to process: 3716
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [527]
% commutator(multiply(X,Y),multiply(X,Z)) <->
% commutator(multiply(X,Y),multiply(inverse(Y),Z))
% Current number of equations to process: 3807
% Current number of ordered equations: 1
% Current number of rules: 442
% New rule produced :
% [528]
% commutator(multiply(X,Y),multiply(inverse(Y),Z)) <->
% commutator(multiply(X,Y),multiply(X,Z))
% Current number of equations to process: 3807
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [529]
% commutator(X,commutator(multiply(Y,Z),multiply(Y,multiply(X,Z)))) -> identity
% Current number of equations to process: 4387
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [530]
% commutator(multiply(X,Z),multiply(Y,Z)) <->
% commutator(multiply(X,inverse(Y)),multiply(X,Z))
% Current number of equations to process: 4694
% Current number of ordered equations: 1
% Current number of rules: 445
% New rule produced :
% [531]
% commutator(multiply(X,inverse(Y)),multiply(X,Z)) <->
% commutator(multiply(X,Z),multiply(Y,Z))
% Current number of equations to process: 4694
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [532]
% commutator(multiply(X,Y),multiply(X,Z)) <->
% commutator(multiply(X,Z),multiply(inverse(Y),Z))
% Current number of equations to process: 1332
% Current number of ordered equations: 1
% Current number of rules: 447
% New rule produced :
% [533]
% commutator(multiply(X,Z),multiply(inverse(Y),Z)) <->
% commutator(multiply(X,Y),multiply(X,Z))
% Current number of equations to process: 1332
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [534]
% commutator(X,commutator(multiply(Y,Z),multiply(Z,multiply(X,Y)))) -> identity
% Current number of equations to process: 2023
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [535]
% commutator(multiply(X,Y),commutator(Z,multiply(Y,multiply(Z,X)))) -> identity
% Current number of equations to process: 2215
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [536]
% commutator(X,commutator(Y,commutator(Z,multiply(X,commutator(X,V_3))))) ->
% identity
% Current number of equations to process: 2384
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [537]
% commutator(X,commutator(Y,commutator(Z,multiply(X,commutator(V_3,X))))) ->
% identity
% Current number of equations to process: 2554
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [538]
% commutator(X,commutator(Y,commutator(multiply(X,commutator(X,Z)),V_3))) ->
% identity
% Current number of equations to process: 2705
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [539]
% commutator(X,commutator(Y,commutator(multiply(X,commutator(Z,X)),V_3))) ->
% identity
% Current number of equations to process: 2868
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [540]
% multiply(commutator(Y,inverse(X)),multiply(X,Y)) ->
% multiply(X,multiply(Y,commutator(X,Y)))
% Current number of equations to process: 3022
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [541]
% commutator(multiply(X,commutator(X,Y)),multiply(inverse(X),Y)) ->
% commutator(X,Y)
% Current number of equations to process: 3067
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [542]
% commutator(X,multiply(Y,multiply(inverse(X),commutator(X,Y)))) ->
% commutator(X,Y)
% Current number of equations to process: 3233
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [543]
% commutator(X,multiply(commutator(Y,X),multiply(inverse(X),Y))) ->
% commutator(X,Y)
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [544]
% commutator(X,commutator(Y,commutator(Z,multiply(X,multiply(X,Y))))) ->
% identity
% Current number of equations to process: 3509
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [545]
% commutator(X,commutator(Y,commutator(multiply(X,multiply(Y,X)),Z))) ->
% identity
% Current number of equations to process: 3617
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [546]
% commutator(X,commutator(Y,commutator(multiply(inverse(X),inverse(X)),Z))) ->
% identity
% Current number of equations to process: 3738
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [547]
% commutator(X,commutator(Y,commutator(Z,commutator(V_3,multiply(X,X))))) ->
% identity
% Current number of equations to process: 3814
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [548]
% commutator(X,commutator(Y,commutator(Z,commutator(multiply(X,X),V_3)))) ->
% identity
% Current number of equations to process: 3891
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [549]
% commutator(X,commutator(Y,commutator(Z,multiply(inverse(X),inverse(X))))) ->
% identity
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [550]
% commutator(multiply(X,X),commutator(Y,commutator(Z,commutator(X,V_3)))) ->
% identity
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [551]
% commutator(multiply(X,X),commutator(Y,commutator(Z,commutator(V_3,X)))) ->
% identity
% Current number of equations to process: 4046
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [552]
% commutator(multiply(X,commutator(Y,X)),multiply(inverse(X),Y)) ->
% commutator(X,Y)
% Current number of equations to process: 4131
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [553]
% commutator(multiply(X,commutator(X,Y)),multiply(Y,inverse(X))) ->
% commutator(X,Y)
% Current number of equations to process: 4259
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [554]
% commutator(multiply(inverse(X),Y),multiply(X,commutator(Y,X))) ->
% commutator(Y,X)
% Current number of equations to process: 4403
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [555]
% commutator(multiply(X,inverse(Y)),multiply(Y,commutator(Y,X))) ->
% commutator(X,Y)
% Current number of equations to process: 4504
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [556]
% commutator(X,commutator(Y,commutator(Z,multiply(X,multiply(Y,Y))))) ->
% identity
% Current number of equations to process: 4632
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [557]
% commutator(X,multiply(inverse(Y),multiply(X,commutator(Y,X)))) ->
% commutator(Y,X)
% Current number of equations to process: 4682
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [558]
% commutator(multiply(inverse(X),Y),multiply(X,commutator(X,Y))) ->
% commutator(Y,X)
% Current number of equations to process: 4849
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [559]
% commutator(multiply(X,multiply(X,multiply(Y,inverse(X)))),Y) ->
% commutator(X,Y)
% Current number of equations to process: 4998
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [560]
% commutator(X,multiply(Y,multiply(Y,multiply(X,inverse(Y))))) ->
% commutator(X,Y)
% Current number of equations to process: 2015
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [561]
% commutator(multiply(X,multiply(Y,multiply(Y,X))),Y) ->
% commutator(multiply(X,X),Y)
% Current number of equations to process: 2094
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [562]
% commutator(X,multiply(Y,multiply(X,multiply(X,Y)))) ->
% commutator(X,multiply(Y,Y))
% Current number of equations to process: 2243
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [563]
% commutator(X,multiply(Y,commutator(inverse(X),multiply(Y,Y)))) ->
% commutator(X,Y)
% Current number of equations to process: 2361
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [564]
% commutator(inverse(X),multiply(Y,commutator(multiply(Y,Y),X))) ->
% commutator(Y,X)
% Current number of equations to process: 2428
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [565]
% commutator(X,multiply(inverse(Y),commutator(multiply(Y,Y),X))) ->
% commutator(Y,X)
% Current number of equations to process: 2483
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [566]
% commutator(X,multiply(Y,commutator(multiply(Y,Y),inverse(X)))) ->
% commutator(X,Y)
% Current number of equations to process: 2677
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [567]
% commutator(inverse(X),multiply(Y,commutator(X,multiply(Y,Y)))) ->
% commutator(Y,X)
% Current number of equations to process: 2742
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [568]
% commutator(X,multiply(inverse(Y),commutator(X,multiply(Y,Y)))) ->
% commutator(Y,X)
% Current number of equations to process: 2787
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [569]
% commutator(multiply(X,Y),commutator(Z,multiply(X,multiply(Z,Y)))) -> identity
% Current number of equations to process: 2917
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [570]
% commutator(multiply(X,inverse(Y)),multiply(X,commutator(Y,X))) ->
% commutator(X,Y)
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [571]
% commutator(multiply(X,commutator(Y,X)),multiply(X,inverse(Y))) ->
% commutator(Y,X)
% Current number of equations to process: 3309
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [572]
% commutator(X,commutator(Y,commutator(Z,multiply(X,multiply(Y,X))))) ->
% identity
% Current number of equations to process: 3417
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [573]
% commutator(X,commutator(Y,commutator(Z,multiply(X,multiply(Z,X))))) ->
% identity
% Current number of equations to process: 3488
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [574]
% commutator(multiply(inverse(X),Y),multiply(Y,commutator(X,Y))) ->
% commutator(Y,X)
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [575]
% commutator(multiply(X,commutator(Y,X)),multiply(inverse(Y),X)) ->
% commutator(Y,X)
% Current number of equations to process: 3681
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [576]
% commutator(multiply(inverse(Y),multiply(X,commutator(Y,X))),X) ->
% commutator(X,Y)
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [577]
% commutator(multiply(inverse(Y),commutator(multiply(Y,Y),X)),X) ->
% commutator(X,Y)
% Current number of equations to process: 3949
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [578]
% commutator(multiply(inverse(Y),commutator(X,multiply(Y,Y))),X) ->
% commutator(X,Y)
% Current number of equations to process: 4101
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [579]
% commutator(multiply(X,inverse(Y)),multiply(Y,Z)) <->
% commutator(multiply(X,inverse(Y)),multiply(X,Z))
% Current number of equations to process: 4175
% Current number of ordered equations: 1
% Current number of rules: 494
% New rule produced :
% [580]
% commutator(multiply(X,inverse(Y)),multiply(X,Z)) <->
% commutator(multiply(X,inverse(Y)),multiply(Y,Z))
% Current number of equations to process: 4175
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [581]
% multiply(inverse(X),commutator(Y,commutator(X,Z))) <->
% multiply(commutator(Y,commutator(Z,X)),inverse(X))
% Current number of equations to process: 4664
% Current number of ordered equations: 1
% Current number of rules: 496
% New rule produced :
% [582]
% multiply(commutator(Y,commutator(Z,X)),inverse(X)) <->
% multiply(inverse(X),commutator(Y,commutator(X,Z)))
% Current number of equations to process: 4664
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [583]
% multiply(commutator(X,commutator(Y,Z)),inverse(Y)) <->
% multiply(inverse(Y),commutator(X,commutator(Z,Y)))
% Current number of equations to process: 367
% Current number of ordered equations: 1
% Current number of rules: 498
% New rule produced :
% [584]
% multiply(inverse(Y),commutator(X,commutator(Z,Y))) <->
% multiply(commutator(X,commutator(Y,Z)),inverse(Y))
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [585]
% multiply(commutator(X,commutator(Y,Z)),inverse(Y)) <->
% multiply(inverse(Y),commutator(X,commutator(Y,Z)))
% Current number of equations to process: 741
% Current number of ordered equations: 1
% Current number of rules: 500
% New rule produced :
% [586]
% multiply(inverse(Y),commutator(X,commutator(Y,Z))) <->
% multiply(commutator(X,commutator(Y,Z)),inverse(Y))
% Current number of equations to process: 741
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [587]
% multiply(inverse(X),commutator(X,commutator(Y,Z))) <->
% multiply(commutator(Z,commutator(Y,X)),inverse(X))
% Current number of equations to process: 1085
% Current number of ordered equations: 1
% Current number of rules: 502
% New rule produced :
% [588]
% multiply(commutator(Z,commutator(Y,X)),inverse(X)) <->
% multiply(inverse(X),commutator(X,commutator(Y,Z)))
% Current number of equations to process: 1085
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [589]
% commutator(Z,commutator(V_3,multiply(inverse(Y),X))) <->
% commutator(multiply(inverse(X),Y),commutator(Z,V_3))
% Current number of equations to process: 1543
% Current number of ordered equations: 1
% Current number of rules: 504
% New rule produced :
% [590]
% commutator(multiply(inverse(X),Y),commutator(Z,V_3)) <->
% commutator(Z,commutator(V_3,multiply(inverse(Y),X)))
% Current number of equations to process: 1543
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [591]
% commutator(Z,commutator(V_3,multiply(Y,inverse(X)))) <->
% commutator(multiply(X,inverse(Y)),commutator(Z,V_3))
% Current number of equations to process: 2432
% Current number of ordered equations: 1
% Current number of rules: 506
% New rule produced :
% [592]
% commutator(multiply(X,inverse(Y)),commutator(Z,V_3)) <->
% commutator(Z,commutator(V_3,multiply(Y,inverse(X))))
% Current number of equations to process: 2432
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [593]
% multiply(commutator(X,commutator(Y,Z)),inverse(X)) <->
% multiply(inverse(X),commutator(Z,commutator(Y,X)))
% Current number of equations to process: 3211
% Current number of ordered equations: 1
% Current number of rules: 508
% New rule produced :
% [594]
% multiply(inverse(X),commutator(Z,commutator(Y,X))) <->
% multiply(commutator(X,commutator(Y,Z)),inverse(X))
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [595]
% commutator(multiply(X,Y),multiply(inverse(Y),Z)) <->
% commutator(multiply(inverse(Z),Y),multiply(X,Z))
% Current number of equations to process: 3681
% Current number of ordered equations: 1
% Current number of rules: 510
% New rule produced :
% [596]
% commutator(multiply(inverse(Z),Y),multiply(X,Z)) <->
% commutator(multiply(X,Y),multiply(inverse(Y),Z))
% Current number of equations to process: 3681
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [597]
% commutator(multiply(X,Z),multiply(Y,inverse(X))) <->
% commutator(multiply(X,inverse(Y)),multiply(Y,Z))
% Current number of equations to process: 4111
% Current number of ordered equations: 1
% Current number of rules: 512
% New rule produced :
% [598]
% commutator(multiply(X,inverse(Y)),multiply(Y,Z)) <->
% commutator(multiply(X,Z),multiply(Y,inverse(X)))
% Current number of equations to process: 4111
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [599]
% commutator(multiply(inverse(X),Y),multiply(Z,X)) <->
% commutator(multiply(inverse(X),Y),multiply(Z,Y))
% Current number of equations to process: 4514
% Current number of ordered equations: 1
% Current number of rules: 514
% New rule produced :
% [600]
% commutator(multiply(inverse(X),Y),multiply(Z,Y)) <->
% commutator(multiply(inverse(X),Y),multiply(Z,X))
% Current number of equations to process: 4514
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [601]
% multiply(inverse(X),commutator(Y,commutator(X,Z))) <->
% multiply(commutator(Z,commutator(X,Y)),inverse(X))
% Current number of equations to process: 2386
% Current number of ordered equations: 1
% Current number of rules: 516
% New rule produced :
% [602]
% multiply(commutator(Z,commutator(X,Y)),inverse(X)) <->
% multiply(inverse(X),commutator(Y,commutator(X,Z)))
% Current number of equations to process: 2386
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [603]
% commutator(X,commutator(Y,multiply(inverse(Z),V_3))) <->
% commutator(multiply(inverse(V_3),Z),commutator(Y,X))
% Current number of equations to process: 2880
% Current number of ordered equations: 1
% Current number of rules: 518
% New rule produced :
% [604]
% commutator(multiply(inverse(V_3),Z),commutator(Y,X)) <->
% commutator(X,commutator(Y,multiply(inverse(Z),V_3)))
% Current number of equations to process: 2880
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [605]
% commutator(X,commutator(Y,multiply(Z,inverse(V_3)))) <->
% commutator(multiply(V_3,inverse(Z)),commutator(Y,X))
% Current number of equations to process: 3772
% Current number of ordered equations: 1
% Current number of rules: 520
% New rule produced :
% [606]
% commutator(multiply(V_3,inverse(Z)),commutator(Y,X)) <->
% commutator(X,commutator(Y,multiply(Z,inverse(V_3))))
% Current number of equations to process: 3772
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [607]
% multiply(commutator(X,commutator(Y,Z)),inverse(Y)) <->
% multiply(inverse(Y),commutator(Y,commutator(X,Z)))
% Current number of equations to process: 4548
% Current number of ordered equations: 1
% Current number of rules: 522
% New rule produced :
% [608]
% multiply(inverse(Y),commutator(Y,commutator(X,Z))) <->
% multiply(commutator(X,commutator(Y,Z)),inverse(Y))
% Current number of equations to process: 4548
% Current number of ordered equations: 0
% CurrentCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------