%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP204-1 : TPTP v6.0.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n104.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 00:22:40 EDT 2014

% Result   : Timeout 300.08s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP204-1 : TPTP v6.0.0. Released v2.2.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n104.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun  6 07:34:53 CDT 2014
% % CPUTime  : 300.08 
% Processing problem /tmp/CiME_24355_n104.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a,identity : constant;  left_inverse : 1;  multiply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% multiply(identity,X) = X;
% multiply(left_inverse(X),X) = identity;
% multiply(multiply(X,multiply(Y,Z)),X) = multiply(multiply(X,Y),multiply(Z,X));
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% left_inverse lr_lex;
% multiply lr_lex;
% identity lr_lex;
% ";
% 
% let p1 = precedence F "
% left_inverse > multiply > identity > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% left_inverse mul;
% multiply mul;
% identity mul;
% ";
% 
% let p2 = precedence F "
% left_inverse > multiply > 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(multiply(multiply(a,b),c),b) = multiply(a,multiply(b,multiply(c,b)));"
% ;
% (*
% 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(identity,X) = X,
% multiply(left_inverse(X),X) = identity,
% multiply(multiply(X,multiply(Y,Z)),X) =
% multiply(multiply(X,Y),multiply(Z,X)) }
% (3 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(multiply(multiply(a,b),c),b) =
% multiply(a,multiply(b,multiply(c,b))) }
% (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: 2
% Current number of rules: 1
% New rule produced : [2] multiply(left_inverse(X),X) -> identity
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(multiply(X,multiply(Y,Z)),X) ->
% multiply(multiply(X,Y),multiply(Z,X))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4] multiply(multiply(X,Y),identity) -> multiply(X,multiply(Y,identity))
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5] multiply(left_inverse(X),multiply(X,identity)) -> identity
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6] multiply(left_inverse(left_inverse(identity)),identity) -> identity
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% multiply(left_inverse(left_inverse(left_inverse(identity))),identity) ->
% identity
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(identity)))),identity)
% -> identity
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(identity))))),identity)
% -> identity
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% multiply(multiply(X,Y),X) <-> multiply(multiply(X,identity),multiply(Y,X))
% Rule
% [3]
% multiply(multiply(X,multiply(Y,Z)),X) ->
% multiply(multiply(X,Y),multiply(Z,X)) collapsed.
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11]
% multiply(multiply(X,Y),multiply(Z,X)) <->
% multiply(multiply(X,identity),multiply(multiply(Y,Z),X))
% Current number of equations to process: 8
% Current number of ordered equations: 9
% Current number of rules: 10
% New rule produced :
% [12]
% multiply(multiply(X,identity),multiply(multiply(Y,Z),X)) <->
% multiply(multiply(X,Y),multiply(Z,X))
% Current number of equations to process: 10
% Current number of ordered equations: 8
% Current number of rules: 11
% New rule produced :
% [13]
% multiply(multiply(X,identity),multiply(left_inverse(left_inverse(identity)),X))
% -> multiply(multiply(X,identity),X)
% Current number of equations to process: 10
% Current number of ordered equations: 7
% Current number of rules: 12
% New rule produced :
% [14]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(identity)))))),identity)
% -> identity
% Current number of equations to process: 10
% Current number of ordered equations: 6
% Current number of rules: 13
% New rule produced :
% [15]
% multiply(multiply(left_inverse(X),identity),multiply(X,left_inverse(X))) ->
% left_inverse(X)
% Current number of equations to process: 10
% Current number of ordered equations: 5
% Current number of rules: 14
% New rule produced :
% [16]
% multiply(multiply(X,left_inverse(Y)),multiply(Y,X)) ->
% multiply(multiply(X,identity),X)
% Current number of equations to process: 10
% Current number of ordered equations: 4
% Current number of rules: 15
% New rule produced :
% [17]
% multiply(left_inverse(multiply(X,Y)),multiply(X,multiply(Y,identity))) ->
% identity
% Current number of equations to process: 10
% Current number of ordered equations: 3
% Current number of rules: 16
% New rule produced :
% [18]
% multiply(multiply(X,identity),multiply(left_inverse(left_inverse(left_inverse(identity))),X))
% -> multiply(multiply(X,identity),X)
% Current number of equations to process: 10
% Current number of ordered equations: 2
% Current number of rules: 17
% New rule produced :
% [19]
% multiply(multiply(X,identity),multiply(left_inverse(left_inverse(left_inverse(
% left_inverse(identity)))),X))
% -> multiply(multiply(X,identity),X)
% Current number of equations to process: 10
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [20]
% multiply(multiply(left_inverse(X),identity),multiply(multiply(X,identity),
% left_inverse(X))) ->
% left_inverse(X)
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [21]
% multiply(multiply(X,Y),X) <->
% multiply(multiply(X,identity),multiply(multiply(Y,identity),X))
% Current number of equations to process: 19
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [22]
% multiply(multiply(X,identity),multiply(multiply(Y,identity),X)) <->
% multiply(multiply(X,Y),X)
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23]
% multiply(multiply(X,Y),left_inverse(identity)) <->
% multiply(multiply(left_inverse(identity),X),multiply(Y,left_inverse(identity)))
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [24]
% multiply(multiply(left_inverse(identity),X),multiply(Y,left_inverse(identity)))
% <-> multiply(multiply(X,Y),left_inverse(identity))
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [25] left_inverse(identity) -> identity
% Rule [6] multiply(left_inverse(left_inverse(identity)),identity) -> identity
% collapsed.
% Rule
% [7]
% multiply(left_inverse(left_inverse(left_inverse(identity))),identity) ->
% identity collapsed.
% Rule
% [8]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(identity)))),identity)
% -> identity collapsed.
% Rule
% [9]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(identity))))),identity)
% -> identity collapsed.
% Rule
% [13]
% multiply(multiply(X,identity),multiply(left_inverse(left_inverse(identity)),X))
% -> multiply(multiply(X,identity),X) collapsed.
% Rule
% [14]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(identity)))))),identity)
% -> identity collapsed.
% Rule
% [18]
% multiply(multiply(X,identity),multiply(left_inverse(left_inverse(left_inverse(identity))),X))
% -> multiply(multiply(X,identity),X) collapsed.
% Rule
% [19]
% multiply(multiply(X,identity),multiply(left_inverse(left_inverse(left_inverse(
% left_inverse(identity)))),X))
% -> multiply(multiply(X,identity),X) collapsed.
% Rule
% [23]
% multiply(multiply(X,Y),left_inverse(identity)) <->
% multiply(multiply(left_inverse(identity),X),multiply(Y,left_inverse(identity)))
% collapsed.
% Rule
% [24]
% multiply(multiply(left_inverse(identity),X),multiply(Y,left_inverse(identity)))
% <-> multiply(multiply(X,Y),left_inverse(identity)) collapsed.
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [26]
% multiply(X,multiply(left_inverse(left_inverse(X)),identity)) ->
% multiply(multiply(X,identity),X)
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [27]
% multiply(left_inverse(multiply(left_inverse(multiply(X,identity)),X)),identity)
% -> identity
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [28]
% multiply(multiply(left_inverse(left_inverse(X)),identity),left_inverse(
% left_inverse(X)))
% -> multiply(X,left_inverse(left_inverse(X)))
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [29]
% multiply(multiply(X,identity),multiply(X,identity)) ->
% multiply(multiply(X,identity),X)
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [30]
% multiply(left_inverse(left_inverse(multiply(left_inverse(multiply(X,identity)),X))),identity)
% -> identity
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 19
% Rule [28]
% multiply(multiply(left_inverse(left_inverse(X)),identity),left_inverse(
% left_inverse(X)))
% -> multiply(X,left_inverse(left_inverse(X))) is composed into [28]
% multiply(
% multiply(
% left_inverse(
% left_inverse(X)),identity),
% left_inverse(
% left_inverse(X)))
% ->
% multiply(
% multiply(X,identity),X)
% New rule produced :
% [31]
% multiply(X,left_inverse(left_inverse(X))) -> multiply(multiply(X,identity),X)
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [32] left_inverse(multiply(left_inverse(multiply(X,identity)),X)) -> identity
% Rule
% [27]
% multiply(left_inverse(multiply(left_inverse(multiply(X,identity)),X)),identity)
% -> identity collapsed.
% Rule
% [30]
% multiply(left_inverse(left_inverse(multiply(left_inverse(multiply(X,identity)),X))),identity)
% -> identity collapsed.
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [33] multiply(left_inverse(multiply(X,identity)),X) -> identity
% Rule
% [32] left_inverse(multiply(left_inverse(multiply(X,identity)),X)) -> identity
% collapsed.
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [34]
% multiply(left_inverse(multiply(X,multiply(Y,identity))),multiply(X,Y)) ->
% identity
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [35]
% multiply(X,multiply(left_inverse(left_inverse(multiply(X,identity))),identity))
% -> multiply(multiply(X,identity),X)
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 21
% Rule [21]
% multiply(multiply(X,Y),X) <->
% multiply(multiply(X,identity),multiply(multiply(Y,identity),X)) is composed into 
% [21]
% multiply(multiply(X,Y),X) <-> multiply(multiply(X,identity),multiply(Y,X))
% New rule produced :
% [36]
% multiply(multiply(X,Y),multiply(multiply(Z,identity),X)) ->
% multiply(multiply(X,Y),multiply(Z,X))
% Rule
% [20]
% multiply(multiply(left_inverse(X),identity),multiply(multiply(X,identity),
% left_inverse(X))) ->
% left_inverse(X) collapsed.
% Rule
% [22]
% multiply(multiply(X,identity),multiply(multiply(Y,identity),X)) <->
% multiply(multiply(X,Y),X) collapsed.
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [37]
% multiply(multiply(X,identity),left_inverse(Y)) -> multiply(X,left_inverse(Y))
% Rule
% [28]
% multiply(multiply(left_inverse(left_inverse(X)),identity),left_inverse(
% left_inverse(X)))
% -> multiply(multiply(X,identity),X) collapsed.
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [38]
% multiply(left_inverse(left_inverse(X)),left_inverse(left_inverse(X))) ->
% multiply(multiply(X,identity),X)
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [39]
% multiply(X,left_inverse(left_inverse(multiply(X,identity)))) ->
% multiply(multiply(X,identity),X)
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [40]
% multiply(multiply(X,identity),multiply(left_inverse(Y),identity)) ->
% multiply(X,multiply(left_inverse(Y),identity))
% Current number of equations to process: 192
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [41]
% multiply(multiply(X,multiply(Y,identity)),left_inverse(Z)) ->
% multiply(multiply(X,Y),left_inverse(Z))
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [42]
% multiply(left_inverse(X),multiply(left_inverse(X),identity)) ->
% multiply(left_inverse(X),left_inverse(X))
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [43]
% multiply(multiply(X,Y),multiply(X,identity)) <->
% multiply(multiply(X,identity),multiply(Y,multiply(X,identity)))
% Current number of equations to process: 210
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [44]
% multiply(multiply(X,identity),multiply(Y,multiply(X,identity))) <->
% multiply(multiply(X,Y),multiply(X,identity))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [45]
% multiply(multiply(X,identity),multiply(multiply(Y,left_inverse(X)),X)) ->
% multiply(X,multiply(Y,identity))
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 28
% Rule [39]
% multiply(X,left_inverse(left_inverse(multiply(X,identity)))) ->
% multiply(multiply(X,identity),X) is composed into [39]
% multiply(X,left_inverse(
% left_inverse(
% multiply(X,identity))))
% ->
% multiply(X,multiply(X,identity))
% Rule [38]
% multiply(left_inverse(left_inverse(X)),left_inverse(left_inverse(X))) ->
% multiply(multiply(X,identity),X) is composed into [38]
% multiply(left_inverse(
% left_inverse(X)),
% left_inverse(left_inverse(X)))
% ->
% multiply(X,multiply(X,identity))
% Rule [35]
% multiply(X,multiply(left_inverse(left_inverse(multiply(X,identity))),identity))
% -> multiply(multiply(X,identity),X) is composed into [35]
% multiply(X,
% multiply(left_inverse(
% left_inverse(
% multiply(X,identity))),identity))
% ->
% multiply(X,
% multiply(X,identity))
% Rule [31]
% multiply(X,left_inverse(left_inverse(X))) ->
% multiply(multiply(X,identity),X) is composed into [31]
% multiply(X,left_inverse(
% left_inverse(X)))
% ->
% multiply(X,multiply(X,identity))
% Rule [29]
% multiply(multiply(X,identity),multiply(X,identity)) ->
% multiply(multiply(X,identity),X) is composed into [29]
% multiply(multiply(X,identity),
% multiply(X,identity))
% ->
% multiply(X,multiply(X,identity))
% Rule [26]
% multiply(X,multiply(left_inverse(left_inverse(X)),identity)) ->
% multiply(multiply(X,identity),X) is composed into [26]
% multiply(X,multiply(
% left_inverse(
% left_inverse(X)),identity))
% ->
% multiply(X,multiply(X,identity))
% Rule [16]
% multiply(multiply(X,left_inverse(Y)),multiply(Y,X)) ->
% multiply(multiply(X,identity),X) is composed into [16]
% multiply(multiply(X,
% left_inverse(Y)),
% multiply(Y,X)) ->
% multiply(X,multiply(X,identity))
% New rule produced :
% [46] multiply(multiply(X,identity),X) -> multiply(X,multiply(X,identity))
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [47]
% multiply(X,multiply(left_inverse(multiply(left_inverse(X),identity)),identity))
% -> multiply(X,multiply(X,identity))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [48]
% multiply(multiply(X,identity),multiply(X,multiply(X,identity))) <->
% multiply(multiply(X,X),X)
% Current number of equations to process: 266
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [49]
% multiply(multiply(X,X),X) <->
% multiply(multiply(X,identity),multiply(X,multiply(X,identity)))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [50]
% multiply(multiply(X,X),multiply(X,identity)) -> multiply(multiply(X,X),X)
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [51]
% multiply(multiply(X,identity),multiply(left_inverse(left_inverse(X)),X)) ->
% multiply(multiply(X,identity),multiply(X,multiply(X,identity)))
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [52]
% multiply(multiply(X,left_inverse(multiply(Y,identity))),multiply(Y,X)) ->
% multiply(X,multiply(X,identity))
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [53]
% multiply(multiply(X,left_inverse(Y)),multiply(Y,multiply(X,identity))) ->
% multiply(X,multiply(X,identity))
% Current number of equations to process: 317
% Current number of ordered equations: 0
% Current number of rules: 36
% Rule [51]
% multiply(multiply(X,identity),multiply(left_inverse(left_inverse(X)),X))
% -> multiply(multiply(X,identity),multiply(X,multiply(X,identity))) is composed into 
% [51]
% multiply(multiply(X,identity),multiply(left_inverse(left_inverse(X)),X)) ->
% multiply(multiply(X,identity),multiply(X,X))
% Rule [49]
% multiply(multiply(X,X),X) <->
% multiply(multiply(X,identity),multiply(X,multiply(X,identity))) is composed into 
% [49]
% multiply(multiply(X,X),X) <-> multiply(multiply(X,identity),multiply(X,X))
% New rule produced :
% [54]
% multiply(multiply(X,identity),multiply(X,multiply(X,identity))) ->
% multiply(multiply(X,identity),multiply(X,X))
% Rule
% [48]
% multiply(multiply(X,identity),multiply(X,multiply(X,identity))) <->
% multiply(multiply(X,X),X) collapsed.
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [55]
% multiply(multiply(X,Y),multiply(X,multiply(X,identity))) ->
% multiply(multiply(X,Y),multiply(X,X))
% Rule
% [54]
% multiply(multiply(X,identity),multiply(X,multiply(X,identity))) ->
% multiply(multiply(X,identity),multiply(X,X)) collapsed.
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [56]
% multiply(multiply(left_inverse(Y),identity),multiply(multiply(Y,X),left_inverse(Y)))
% -> multiply(X,left_inverse(Y))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [57] multiply(X,left_inverse(X)) -> identity
% Rule
% [15]
% multiply(multiply(left_inverse(X),identity),multiply(X,left_inverse(X))) ->
% left_inverse(X) collapsed.
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [58] multiply(left_inverse(X),identity) -> left_inverse(X)
% Rule
% [26]
% multiply(X,multiply(left_inverse(left_inverse(X)),identity)) ->
% multiply(X,multiply(X,identity)) collapsed.
% Rule
% [35]
% multiply(X,multiply(left_inverse(left_inverse(multiply(X,identity))),identity))
% -> multiply(X,multiply(X,identity)) collapsed.
% Rule
% [40]
% multiply(multiply(X,identity),multiply(left_inverse(Y),identity)) ->
% multiply(X,multiply(left_inverse(Y),identity)) collapsed.
% Rule
% [42]
% multiply(left_inverse(X),multiply(left_inverse(X),identity)) ->
% multiply(left_inverse(X),left_inverse(X)) collapsed.
% Rule
% [47]
% multiply(X,multiply(left_inverse(multiply(left_inverse(X),identity)),identity))
% -> multiply(X,multiply(X,identity)) collapsed.
% Rule
% [56]
% multiply(multiply(left_inverse(Y),identity),multiply(multiply(Y,X),left_inverse(Y)))
% -> multiply(X,left_inverse(Y)) collapsed.
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 32
% Rule [49]
% multiply(multiply(X,X),X) <->
% multiply(multiply(X,identity),multiply(X,X)) is composed into [49]
% multiply(
% multiply(X,X),X)
% ->
% multiply(X,
% multiply(X,X))
% Rule [38]
% multiply(left_inverse(left_inverse(X)),left_inverse(left_inverse(X))) ->
% multiply(X,multiply(X,identity)) is composed into [38]
% multiply(left_inverse(
% left_inverse(X)),
% left_inverse(left_inverse(X)))
% -> multiply(X,X)
% Rule [31]
% multiply(X,left_inverse(left_inverse(X))) ->
% multiply(X,multiply(X,identity)) is composed into [31]
% multiply(X,left_inverse(
% left_inverse(X)))
% -> multiply(X,X)
% Rule [21]
% multiply(multiply(X,Y),X) <->
% multiply(multiply(X,identity),multiply(Y,X)) is composed into [21]
% multiply(
% multiply(X,Y),X)
% ->
% multiply(X,
% multiply(Y,X))
% Rule [16]
% multiply(multiply(X,left_inverse(Y)),multiply(Y,X)) ->
% multiply(X,multiply(X,identity)) is composed into [16]
% multiply(multiply(X,
% left_inverse(Y)),
% multiply(Y,X)) ->
% multiply(X,X)
% Rule [11]
% multiply(multiply(X,Y),multiply(Z,X)) <->
% multiply(multiply(X,identity),multiply(multiply(Y,Z),X)) is composed into 
% [11]
% multiply(multiply(X,Y),multiply(Z,X)) <->
% multiply(X,multiply(multiply(Y,Z),X))
% Rule [10]
% multiply(multiply(X,Y),X) <->
% multiply(multiply(X,identity),multiply(Y,X)) is composed into [10]
% multiply(
% multiply(X,Y),X)
% ->
% multiply(X,
% multiply(Y,X))
% New rule produced : [59] multiply(X,identity) -> X
% Rule [4] multiply(multiply(X,Y),identity) -> multiply(X,multiply(Y,identity))
% collapsed.
% Rule [5] multiply(left_inverse(X),multiply(X,identity)) -> identity
% collapsed.
% Rule
% [12]
% multiply(multiply(X,identity),multiply(multiply(Y,Z),X)) <->
% multiply(multiply(X,Y),multiply(Z,X)) collapsed.
% Rule
% [17]
% multiply(left_inverse(multiply(X,Y)),multiply(X,multiply(Y,identity))) ->
% identity collapsed.
% Rule
% [29]
% multiply(multiply(X,identity),multiply(X,identity)) ->
% multiply(X,multiply(X,identity)) collapsed.
% Rule [33] multiply(left_inverse(multiply(X,identity)),X) -> identity
% collapsed.
% Rule
% [34]
% multiply(left_inverse(multiply(X,multiply(Y,identity))),multiply(X,Y)) ->
% identity collapsed.
% Rule
% [36]
% multiply(multiply(X,Y),multiply(multiply(Z,identity),X)) ->
% multiply(multiply(X,Y),multiply(Z,X)) collapsed.
% Rule
% [37]
% multiply(multiply(X,identity),left_inverse(Y)) -> multiply(X,left_inverse(Y))
% collapsed.
% Rule
% [39]
% multiply(X,left_inverse(left_inverse(multiply(X,identity)))) ->
% multiply(X,multiply(X,identity)) collapsed.
% Rule
% [41]
% multiply(multiply(X,multiply(Y,identity)),left_inverse(Z)) ->
% multiply(multiply(X,Y),left_inverse(Z)) collapsed.
% Rule
% [43]
% multiply(multiply(X,Y),multiply(X,identity)) <->
% multiply(multiply(X,identity),multiply(Y,multiply(X,identity))) collapsed.
% Rule
% [44]
% multiply(multiply(X,identity),multiply(Y,multiply(X,identity))) <->
% multiply(multiply(X,Y),multiply(X,identity)) collapsed.
% Rule
% [45]
% multiply(multiply(X,identity),multiply(multiply(Y,left_inverse(X)),X)) ->
% multiply(X,multiply(Y,identity)) collapsed.
% Rule
% [46] multiply(multiply(X,identity),X) -> multiply(X,multiply(X,identity))
% collapsed.
% Rule
% [50]
% multiply(multiply(X,X),multiply(X,identity)) -> multiply(multiply(X,X),X)
% collapsed.
% Rule
% [51]
% multiply(multiply(X,identity),multiply(left_inverse(left_inverse(X)),X)) ->
% multiply(multiply(X,identity),multiply(X,X)) collapsed.
% Rule
% [52]
% multiply(multiply(X,left_inverse(multiply(Y,identity))),multiply(Y,X)) ->
% multiply(X,multiply(X,identity)) collapsed.
% Rule
% [53]
% multiply(multiply(X,left_inverse(Y)),multiply(Y,multiply(X,identity))) ->
% multiply(X,multiply(X,identity)) collapsed.
% Rule
% [55]
% multiply(multiply(X,Y),multiply(X,multiply(X,identity))) ->
% multiply(multiply(X,Y),multiply(X,X)) collapsed.
% Rule [58] multiply(left_inverse(X),identity) -> left_inverse(X) collapsed.
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [60] multiply(X,multiply(multiply(Y,left_inverse(X)),X)) -> multiply(X,Y)
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [61]
% multiply(X,multiply(left_inverse(left_inverse(X)),X)) ->
% multiply(X,multiply(X,X))
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [62] multiply(Y,multiply(multiply(left_inverse(Y),X),Y)) -> multiply(X,Y)
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [63]
% multiply(left_inverse(X),multiply(multiply(X,X),left_inverse(X))) -> identity
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [64]
% multiply(multiply(X,left_inverse(Y)),Y) ->
% multiply(Y,multiply(left_inverse(Y),X))
% Rule
% [60] multiply(X,multiply(multiply(Y,left_inverse(X)),X)) -> multiply(X,Y)
% collapsed.
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [65] multiply(X,multiply(X,multiply(left_inverse(X),Y))) -> multiply(X,Y)
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [66]
% multiply(left_inverse(Y),multiply(multiply(Y,X),left_inverse(Y))) ->
% multiply(X,left_inverse(Y))
% Rule
% [63]
% multiply(left_inverse(X),multiply(multiply(X,X),left_inverse(X))) -> identity
% collapsed.
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [67] multiply(left_inverse(left_inverse(X)),X) -> multiply(X,X)
% Rule
% [61]
% multiply(X,multiply(left_inverse(left_inverse(X)),X)) ->
% multiply(X,multiply(X,X)) collapsed.
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [68] multiply(left_inverse(left_inverse(left_inverse(X))),X) -> identity
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [69]
% multiply(left_inverse(X),multiply(X,X)) ->
% multiply(multiply(X,X),left_inverse(X))
% Current number of equations to process: 354
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [70] multiply(X,left_inverse(left_inverse(left_inverse(X)))) -> identity
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [71]
% multiply(left_inverse(X),multiply(multiply(Y,X),left_inverse(X))) ->
% multiply(left_inverse(X),Y)
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [72]
% multiply(left_inverse(multiply(X,X)),X) ->
% multiply(X,left_inverse(multiply(X,X)))
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [73]
% multiply(X,multiply(left_inverse(X),multiply(left_inverse(left_inverse(X)),Y)))
% -> multiply(X,Y)
% Current number of equations to process: 371
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [74]
% multiply(multiply(left_inverse(Y),multiply(left_inverse(left_inverse(Y)),X)),Y)
% -> multiply(X,Y)
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [75] multiply(X,multiply(left_inverse(X),multiply(X,Y))) -> multiply(X,Y)
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [76]
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(X))))) ->
% multiply(X,X)
% Current number of equations to process: 383
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [77]
% multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(X)) -> identity
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [78]
% multiply(left_inverse(left_inverse(X)),multiply(X,X)) ->
% multiply(multiply(X,X),left_inverse(left_inverse(X)))
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [79]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(X)))),X) ->
% multiply(X,X)
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [80] multiply(Y,multiply(left_inverse(Y),multiply(X,Y))) -> multiply(X,Y)
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [81]
% multiply(multiply(multiply(left_inverse(X),Y),X),left_inverse(X)) ->
% multiply(left_inverse(X),Y)
% Current number of equations to process: 391
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [82]
% multiply(multiply(Y,multiply(left_inverse(Y),X)),left_inverse(Y)) ->
% multiply(X,left_inverse(Y))
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [83]
% multiply(multiply(X,Y),left_inverse(Y)) <->
% multiply(left_inverse(Y),multiply(Y,X))
% Rule
% [81]
% multiply(multiply(multiply(left_inverse(X),Y),X),left_inverse(X)) ->
% multiply(left_inverse(X),Y) collapsed.
% Current number of equations to process: 392
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [84]
% multiply(left_inverse(Y),multiply(Y,X)) <->
% multiply(multiply(X,Y),left_inverse(Y))
% Rule
% [69]
% multiply(left_inverse(X),multiply(X,X)) ->
% multiply(multiply(X,X),left_inverse(X)) collapsed.
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [85]
% multiply(left_inverse(X),multiply(X,multiply(left_inverse(X),Y))) ->
% multiply(left_inverse(X),Y)
% Current number of equations to process: 391
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [86]
% multiply(X,multiply(multiply(Y,left_inverse(left_inverse(left_inverse(X)))),X))
% -> multiply(X,Y)
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [87]
% multiply(Y,multiply(multiply(left_inverse(left_inverse(left_inverse(Y))),X),Y))
% -> multiply(X,Y)
% Current number of equations to process: 389
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [88] multiply(X,multiply(multiply(Y,X),left_inverse(X))) -> multiply(X,Y)
% Current number of equations to process: 395
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [89]
% multiply(left_inverse(left_inverse(multiply(X,X))),X) ->
% multiply(X,left_inverse(left_inverse(multiply(X,X))))
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [90]
% multiply(left_inverse(multiply(X,X)),left_inverse(X)) ->
% multiply(left_inverse(X),left_inverse(multiply(X,X)))
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [91]
% multiply(X,multiply(left_inverse(left_inverse(X)),Y)) ->
% multiply(X,multiply(X,Y))
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [92]
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(X))))))
% -> identity
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [93]
% multiply(multiply(left_inverse(left_inverse(X)),Y),X) ->
% multiply(X,multiply(Y,X))
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [94]
% multiply(X,multiply(left_inverse(left_inverse(left_inverse(X))),Y)) ->
% multiply(X,multiply(left_inverse(X),Y))
% Current number of equations to process: 417
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [95]
% multiply(X,multiply(multiply(Y,left_inverse(X)),left_inverse(left_inverse(X))))
% -> multiply(X,Y)
% Current number of equations to process: 417
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [96]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(X))))),X)
% -> identity
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [97]
% multiply(multiply(left_inverse(left_inverse(left_inverse(X))),Y),X) ->
% multiply(multiply(left_inverse(X),Y),X)
% Rule
% [87]
% multiply(Y,multiply(multiply(left_inverse(left_inverse(left_inverse(Y))),X),Y))
% -> multiply(X,Y) collapsed.
% Current number of equations to process: 425
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [98]
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X)))))))
% -> multiply(X,X)
% Current number of equations to process: 440
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [99]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X)))))),X)
% -> multiply(X,X)
% Current number of equations to process: 439
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [100]
% multiply(multiply(multiply(X,left_inverse(Y)),left_inverse(left_inverse(Y))),Y)
% -> multiply(X,Y)
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [101]
% multiply(left_inverse(left_inverse(X)),multiply(multiply(X,X),left_inverse(X)))
% -> multiply(X,X)
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [102]
% multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(left_inverse(X)))
% -> multiply(X,X)
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [103]
% multiply(multiply(multiply(X,Y),left_inverse(Y)),left_inverse(Y)) ->
% multiply(X,left_inverse(Y))
% Rule
% [77]
% multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(X)) -> identity
% collapsed.
% Current number of equations to process: 487
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [104]
% multiply(multiply(left_inverse(left_inverse(X)),Y),left_inverse(X)) ->
% multiply(multiply(X,Y),left_inverse(X))
% Current number of equations to process: 487
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [105] multiply(multiply(left_inverse(X),multiply(X,Y)),X) -> multiply(Y,X)
% Current number of equations to process: 502
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [106]
% multiply(multiply(X,Y),left_inverse(left_inverse(X))) <->
% multiply(left_inverse(left_inverse(X)),multiply(Y,X))
% Current number of equations to process: 514
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [107]
% multiply(left_inverse(left_inverse(X)),multiply(Y,X)) <->
% multiply(multiply(X,Y),left_inverse(left_inverse(X)))
% Rule
% [78]
% multiply(left_inverse(left_inverse(X)),multiply(X,X)) ->
% multiply(multiply(X,X),left_inverse(left_inverse(X))) collapsed.
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [108]
% multiply(left_inverse(Y),multiply(Y,multiply(X,left_inverse(Y)))) ->
% multiply(X,left_inverse(Y))
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [109]
% multiply(left_inverse(X),multiply(left_inverse(X),multiply(X,Y))) ->
% multiply(left_inverse(X),Y)
% Current number of equations to process: 526
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [110]
% multiply(left_inverse(X),multiply(left_inverse(left_inverse(X)),Y)) ->
% multiply(left_inverse(X),multiply(X,Y))
% Rule
% [73]
% multiply(X,multiply(left_inverse(X),multiply(left_inverse(left_inverse(X)),Y)))
% -> multiply(X,Y) collapsed.
% Rule
% [74]
% multiply(multiply(left_inverse(Y),multiply(left_inverse(left_inverse(Y)),X)),Y)
% -> multiply(X,Y) collapsed.
% Current number of equations to process: 532
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [111]
% multiply(multiply(X,left_inverse(left_inverse(left_inverse(Y)))),Y) ->
% multiply(Y,multiply(left_inverse(Y),X))
% Rule
% [86]
% multiply(X,multiply(multiply(Y,left_inverse(left_inverse(left_inverse(X)))),X))
% -> multiply(X,Y) collapsed.
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [112]
% multiply(X,multiply(Y,left_inverse(left_inverse(X)))) ->
% multiply(X,multiply(Y,X))
% Rule
% [95]
% multiply(X,multiply(multiply(Y,left_inverse(X)),left_inverse(left_inverse(X))))
% -> multiply(X,Y) collapsed.
% Current number of equations to process: 614
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [113]
% multiply(multiply(left_inverse(left_inverse(left_inverse(left_inverse(X)))),Y),X)
% -> multiply(X,multiply(Y,X))
% Current number of equations to process: 617
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [114]
% multiply(X,multiply(Y,left_inverse(left_inverse(left_inverse(X))))) ->
% multiply(X,multiply(Y,left_inverse(X)))
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [115]
% multiply(X,multiply(left_inverse(left_inverse(left_inverse(left_inverse(X)))),Y))
% -> multiply(X,multiply(X,Y))
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [116]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(X))))))),X)
% -> identity
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [117]
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(X))))))))
% -> identity
% Current number of equations to process: 646
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [118]
% multiply(X,multiply(left_inverse(X),multiply(Y,left_inverse(left_inverse(X)))))
% -> multiply(Y,X)
% Current number of equations to process: 666
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [119]
% multiply(multiply(multiply(X,X),left_inverse(left_inverse(left_inverse(X)))),
% left_inverse(X)) -> identity
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [120]
% multiply(left_inverse(X),multiply(Y,left_inverse(left_inverse(X)))) ->
% multiply(left_inverse(X),multiply(Y,X))
% Rule
% [118]
% multiply(X,multiply(left_inverse(X),multiply(Y,left_inverse(left_inverse(X)))))
% -> multiply(Y,X) collapsed.
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [121]
% multiply(multiply(X,left_inverse(left_inverse(Y))),Y) ->
% multiply(multiply(X,Y),Y)
% Rule
% [100]
% multiply(multiply(multiply(X,left_inverse(Y)),left_inverse(left_inverse(Y))),Y)
% -> multiply(X,Y) collapsed.
% Rule
% [119]
% multiply(multiply(multiply(X,X),left_inverse(left_inverse(left_inverse(X)))),
% left_inverse(X)) -> identity collapsed.
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [122]
% multiply(multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(Y))))),Y)
% -> multiply(multiply(X,Y),Y)
% Current number of equations to process: 974
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [123]
% multiply(X,multiply(Y,left_inverse(left_inverse(left_inverse(left_inverse(X))))))
% -> multiply(X,multiply(Y,X))
% Current number of equations to process: 973
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [124]
% multiply(X,multiply(multiply(X,Y),left_inverse(X))) ->
% multiply(X,multiply(X,multiply(Y,left_inverse(X))))
% Current number of equations to process: 1055
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [125]
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(X,X)) ->
% multiply(multiply(X,X),left_inverse(left_inverse(left_inverse(X))))
% Current number of equations to process: 1054
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [126]
% multiply(left_inverse(left_inverse(X)),left_inverse(multiply(X,X))) ->
% multiply(left_inverse(multiply(X,X)),left_inverse(left_inverse(X)))
% Current number of equations to process: 1053
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [127]
% multiply(left_inverse(X),multiply(X,multiply(X,Y))) <->
% multiply(multiply(X,multiply(Y,X)),left_inverse(X))
% Current number of equations to process: 1103
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [128]
% multiply(multiply(X,multiply(Y,X)),left_inverse(X)) <->
% multiply(left_inverse(X),multiply(X,multiply(X,Y)))
% Current number of equations to process: 1103
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [129]
% multiply(left_inverse(left_inverse(left_inverse(multiply(X,X)))),X) ->
% multiply(X,left_inverse(left_inverse(left_inverse(multiply(X,X)))))
% Current number of equations to process: 1101
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [130]
% multiply(left_inverse(left_inverse(multiply(X,X))),left_inverse(X)) ->
% multiply(left_inverse(X),left_inverse(left_inverse(multiply(X,X))))
% Current number of equations to process: 1100
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [131]
% multiply(multiply(multiply(left_inverse(X),Y),X),X) ->
% multiply(multiply(left_inverse(X),multiply(Y,X)),X)
% Current number of equations to process: 1096
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [132]
% multiply(multiply(X,Y),left_inverse(left_inverse(left_inverse(Y)))) <->
% multiply(left_inverse(left_inverse(left_inverse(Y))),multiply(Y,X))
% Current number of equations to process: 1094
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [133]
% multiply(left_inverse(left_inverse(left_inverse(Y))),multiply(Y,X)) <->
% multiply(multiply(X,Y),left_inverse(left_inverse(left_inverse(Y))))
% Rule
% [125]
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(X,X)) ->
% multiply(multiply(X,X),left_inverse(left_inverse(left_inverse(X))))
% collapsed.
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [134]
% multiply(multiply(multiply(X,Y),left_inverse(Y)),left_inverse(left_inverse(Y)))
% -> multiply(X,left_inverse(left_inverse(Y)))
% Rule
% [102]
% multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(left_inverse(X)))
% -> multiply(X,X) collapsed.
% Current number of equations to process: 1386
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [135]
% multiply(left_inverse(X),left_inverse(multiply(multiply(X,X),left_inverse(X))))
% -> multiply(left_inverse(X),left_inverse(X))
% Current number of equations to process: 1446
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [136]
% multiply(left_inverse(multiply(multiply(X,X),left_inverse(X))),X) -> identity
% Current number of equations to process: 1447
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [137]
% multiply(X,left_inverse(multiply(multiply(X,X),left_inverse(X)))) -> identity
% Current number of equations to process: 1454
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [138]
% multiply(left_inverse(multiply(multiply(X,X),left_inverse(X))),left_inverse(
% left_inverse(X)))
% -> identity
% Current number of equations to process: 1454
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [139]
% multiply(left_inverse(left_inverse(X)),left_inverse(multiply(multiply(X,X),
% left_inverse(X)))) ->
% identity
% Current number of equations to process: 1461
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [140]
% multiply(X,left_inverse(left_inverse(multiply(multiply(X,X),left_inverse(X)))))
% -> multiply(X,X)
% Current number of equations to process: 1486
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [141]
% multiply(X,left_inverse(left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(X)))))) ->
% identity
% Current number of equations to process: 1485
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [142]
% multiply(left_inverse(left_inverse(multiply(multiply(X,X),left_inverse(X)))),
% left_inverse(X)) -> identity
% Current number of equations to process: 1523
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [143]
% multiply(left_inverse(left_inverse(multiply(multiply(X,X),left_inverse(X)))),X)
% -> multiply(X,X)
% Current number of equations to process: 1522
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [144]
% multiply(left_inverse(X),left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(X))))) ->
% identity
% Current number of equations to process: 1521
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [145]
% multiply(left_inverse(left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(X))))),X) ->
% identity
% Current number of equations to process: 1541
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [146]
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(left_inverse(X),Y)))
% -> multiply(left_inverse(left_inverse(X)),Y)
% Current number of equations to process: 1582
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [147]
% multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(left_inverse(
% left_inverse(X))))
% -> identity
% Current number of equations to process: 1595
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [148]
% multiply(multiply(Y,multiply(left_inverse(Y),X)),left_inverse(left_inverse(Y)))
% -> multiply(X,left_inverse(left_inverse(Y)))
% Current number of equations to process: 1630
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [149]
% multiply(left_inverse(left_inverse(X)),multiply(multiply(Y,X),left_inverse(X)))
% -> multiply(left_inverse(left_inverse(X)),Y)
% Rule
% [101]
% multiply(left_inverse(left_inverse(X)),multiply(multiply(X,X),left_inverse(X)))
% -> multiply(X,X) collapsed.
% Current number of equations to process: 1658
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [150]
% multiply(left_inverse(left_inverse(X)),Y) <->
% multiply(multiply(X,multiply(Y,left_inverse(X))),left_inverse(left_inverse(X)))
% Rule [67] multiply(left_inverse(left_inverse(X)),X) -> multiply(X,X)
% collapsed.
% Rule [68] multiply(left_inverse(left_inverse(left_inverse(X))),X) -> identity
% collapsed.
% Rule
% [79]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(X)))),X) ->
% multiply(X,X) collapsed.
% Rule
% [89]
% multiply(left_inverse(left_inverse(multiply(X,X))),X) ->
% multiply(X,left_inverse(left_inverse(multiply(X,X)))) collapsed.
% Rule
% [96]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(X))))),X)
% -> identity collapsed.
% Rule
% [99]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X)))))),X)
% -> multiply(X,X) collapsed.
% Rule
% [116]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(X))))))),X)
% -> identity collapsed.
% Rule
% [126]
% multiply(left_inverse(left_inverse(X)),left_inverse(multiply(X,X))) ->
% multiply(left_inverse(multiply(X,X)),left_inverse(left_inverse(X)))
% collapsed.
% Rule
% [129]
% multiply(left_inverse(left_inverse(left_inverse(multiply(X,X)))),X) ->
% multiply(X,left_inverse(left_inverse(left_inverse(multiply(X,X)))))
% collapsed.
% Rule
% [130]
% multiply(left_inverse(left_inverse(multiply(X,X))),left_inverse(X)) ->
% multiply(left_inverse(X),left_inverse(left_inverse(multiply(X,X))))
% collapsed.
% Rule
% [142]
% multiply(left_inverse(left_inverse(multiply(multiply(X,X),left_inverse(X)))),
% left_inverse(X)) -> identity collapsed.
% Rule
% [143]
% multiply(left_inverse(left_inverse(multiply(multiply(X,X),left_inverse(X)))),X)
% -> multiply(X,X) collapsed.
% Rule
% [145]
% multiply(left_inverse(left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(X))))),X) ->
% identity collapsed.
% Current number of equations to process: 1731
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [151]
% multiply(multiply(X,multiply(Y,left_inverse(X))),left_inverse(left_inverse(X)))
% <-> multiply(left_inverse(left_inverse(X)),Y)
% Current number of equations to process: 1731
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [152]
% multiply(multiply(left_inverse(Y),multiply(Y,X)),left_inverse(left_inverse(Y)))
% -> multiply(X,left_inverse(left_inverse(Y)))
% Current number of equations to process: 1798
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [153]
% multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),multiply(X,Y)))
% -> multiply(left_inverse(left_inverse(X)),Y)
% Current number of equations to process: 1848
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [154]
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X)))))))))
% -> multiply(X,X)
% Current number of equations to process: 1890
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [155]
% multiply(multiply(X,left_inverse(left_inverse(Y))),left_inverse(left_inverse(Y)))
% -> multiply(multiply(X,Y),left_inverse(left_inverse(Y)))
% Current number of equations to process: 1909
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [156]
% multiply(Y,left_inverse(left_inverse(X))) <->
% multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),multiply(Y,X)))
% Rule
% [138]
% multiply(left_inverse(multiply(multiply(X,X),left_inverse(X))),left_inverse(
% left_inverse(X)))
% -> identity collapsed.
% Rule
% [155]
% multiply(multiply(X,left_inverse(left_inverse(Y))),left_inverse(left_inverse(Y)))
% -> multiply(multiply(X,Y),left_inverse(left_inverse(Y))) collapsed.
% Current number of equations to process: 1938
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [157]
% multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),multiply(Y,X)))
% <-> multiply(Y,left_inverse(left_inverse(X)))
% Current number of equations to process: 1938
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [158]
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X))))))))))
% -> identity
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [159]
% multiply(left_inverse(left_inverse(X)),multiply(Y,left_inverse(left_inverse(X))))
% -> multiply(left_inverse(left_inverse(X)),multiply(Y,X))
% Current number of equations to process: 2085
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [160]
% multiply(left_inverse(multiply(multiply(X,X),left_inverse(X))),left_inverse(X))
% -> multiply(left_inverse(X),left_inverse(X))
% Current number of equations to process: 2114
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [161]
% multiply(left_inverse(left_inverse(X)),multiply(left_inverse(left_inverse(X)),Y))
% -> multiply(left_inverse(left_inverse(X)),multiply(X,Y))
% Current number of equations to process: 2127
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [162]
% multiply(Y,left_inverse(left_inverse(X))) <->
% multiply(left_inverse(left_inverse(X)),multiply(multiply(left_inverse(X),Y),X))
% Current number of equations to process: 2153
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [163]
% multiply(left_inverse(left_inverse(X)),multiply(multiply(left_inverse(X),Y),X))
% <-> multiply(Y,left_inverse(left_inverse(X)))
% Current number of equations to process: 2153
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [164]
% multiply(multiply(multiply(multiply(multiply(multiply(X,multiply(X,multiply(X,
% multiply(X,X)))),
% left_inverse(X)),left_inverse(left_inverse(
% left_inverse(X)))),
% left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X)))))),
% left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(X)))))))),
% left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X))))))))))
% -> identity
% Current number of equations to process: 2236
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [165]
% multiply(left_inverse(left_inverse(X)),Y) <->
% multiply(multiply(multiply(X,Y),left_inverse(X)),left_inverse(left_inverse(X)))
% Current number of equations to process: 2246
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [166]
% multiply(multiply(multiply(X,Y),left_inverse(X)),left_inverse(left_inverse(X)))
% <-> multiply(left_inverse(left_inverse(X)),Y)
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [167]
% multiply(multiply(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X))))),Y),X)
% -> multiply(multiply(left_inverse(X),Y),X)
% Current number of equations to process: 2336
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [168]
% multiply(X,multiply(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X))))),Y))
% -> multiply(X,multiply(left_inverse(X),Y))
% Current number of equations to process: 2379
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [169]
% multiply(multiply(Y,left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X)))))),X)
% -> multiply(X,multiply(left_inverse(X),Y))
% Current number of equations to process: 2424
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [170]
% multiply(X,multiply(Y,left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X)))))))
% -> multiply(X,multiply(Y,left_inverse(X)))
% Current number of equations to process: 2454
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [171]
% multiply(multiply(left_inverse(X),multiply(Y,left_inverse(X))),X) ->
% multiply(X,multiply(left_inverse(X),multiply(left_inverse(X),Y)))
% Current number of equations to process: 2480
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [172]
% multiply(multiply(X,multiply(multiply(multiply(multiply(X,multiply(X,X)),
% left_inverse(X)),left_inverse(X)),
% left_inverse(X))),left_inverse(left_inverse(X))) ->
% multiply(X,X)
% Current number of equations to process: 2502
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [173]
% multiply(multiply(X,Y),multiply(left_inverse(multiply(X,Y)),multiply(Y,Y)))
% -> multiply(Y,Y)
% Current number of equations to process: 2516
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [174]
% multiply(multiply(multiply(X,Y),left_inverse(X)),left_inverse(X)) ->
% multiply(multiply(X,multiply(Y,left_inverse(X))),left_inverse(X))
% Rule
% [172]
% multiply(multiply(X,multiply(multiply(multiply(multiply(X,multiply(X,X)),
% left_inverse(X)),left_inverse(X)),
% left_inverse(X))),left_inverse(left_inverse(X))) ->
% multiply(X,X) collapsed.
% Current number of equations to process: 2585
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [175]
% multiply(multiply(X,left_inverse(multiply(X,X))),left_inverse(X)) ->
% multiply(left_inverse(X),multiply(X,left_inverse(multiply(X,X))))
% Current number of equations to process: 2651
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [176]
% multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),multiply(
% multiply(
% multiply(X,X),
% multiply(X,
% left_inverse(
% multiply(X,X)))),
% left_inverse(
% left_inverse(
% multiply(X,X))))))
% ->
% multiply(left_inverse(left_inverse(X)),left_inverse(left_inverse(multiply(X,X))))
% Current number of equations to process: 2666
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [177]
% multiply(multiply(left_inverse(X),multiply(X,left_inverse(multiply(X,X)))),
% left_inverse(left_inverse(left_inverse(X)))) ->
% multiply(left_inverse(multiply(X,X)),left_inverse(left_inverse(left_inverse(X))))
% Current number of equations to process: 2695
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [178]
% multiply(multiply(left_inverse(X),left_inverse(multiply(X,X))),X) ->
% multiply(X,multiply(left_inverse(X),left_inverse(multiply(X,X))))
% Current number of equations to process: 2715
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [179]
% multiply(multiply(X,multiply(X,Y)),left_inverse(left_inverse(X))) <->
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(Y,X)))
% Current number of equations to process: 2719
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [180]
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(Y,X))) <->
% multiply(multiply(X,multiply(X,Y)),left_inverse(left_inverse(X)))
% Current number of equations to process: 2719
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [181]
% multiply(left_inverse(X),multiply(multiply(left_inverse(X),Y),X)) ->
% multiply(left_inverse(X),multiply(left_inverse(X),multiply(Y,X)))
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [182]
% multiply(multiply(multiply(multiply(X,X),multiply(multiply(X,left_inverse(
% multiply(X,X))),
% left_inverse(multiply(X,X)))),
% left_inverse(left_inverse(multiply(X,X)))),left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% multiply(X,X))))))
% ->
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(multiply(X,X))))))
% Current number of equations to process: 2860
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [183]
% multiply(multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(
% multiply(X,X))),
% left_inverse(left_inverse(left_inverse(multiply(X,X))))) ->
% multiply(left_inverse(X),left_inverse(left_inverse(left_inverse(multiply(X,X)))))
% Current number of equations to process: 2891
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [184]
% multiply(multiply(X,Y),left_inverse(left_inverse(left_inverse(left_inverse(X)))))
% <->
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(X)))),multiply(Y,X))
% Current number of equations to process: 2916
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [185]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(X)))),multiply(Y,X))
% <->
% multiply(multiply(X,Y),left_inverse(left_inverse(left_inverse(left_inverse(X)))))
% Current number of equations to process: 2916
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [186]
% multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),multiply(
% left_inverse(
% multiply(
% multiply(X,X),
% left_inverse(
% left_inverse(
% left_inverse(X))))),X)))
% -> identity
% Current number of equations to process: 3111
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [187]
% multiply(left_inverse(multiply(multiply(left_inverse(X),left_inverse(X)),
% left_inverse(left_inverse(X)))),X) -> multiply(X,X)
% Current number of equations to process: 3139
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [188]
% multiply(left_inverse(left_inverse(X)),left_inverse(multiply(multiply(X,X),
% left_inverse(left_inverse(
% left_inverse(X))))))
% -> identity
% Current number of equations to process: 3161
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [189]
% multiply(X,left_inverse(multiply(multiply(left_inverse(X),left_inverse(X)),
% left_inverse(left_inverse(X))))) -> multiply(X,X)
% Current number of equations to process: 3177
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [190]
% multiply(left_inverse(left_inverse(X)),left_inverse(left_inverse(multiply(
% multiply(X,X),
% left_inverse(X)))))
% -> multiply(X,X)
% Current number of equations to process: 3194
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [191]
% multiply(left_inverse(multiply(multiply(X,X),left_inverse(X))),left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X)))))
% -> identity
% Current number of equations to process: 3219
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [192]
% multiply(left_inverse(left_inverse(X)),left_inverse(left_inverse(left_inverse(
% multiply(
% multiply(X,X),
% left_inverse(X))))))
% -> identity
% Current number of equations to process: 3233
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [193]
% multiply(multiply(multiply(multiply(left_inverse(X),left_inverse(X)),
% left_inverse(left_inverse(X))),multiply(X,X)),left_inverse(
% left_inverse(
% multiply(
% multiply(
% left_inverse(X),
% left_inverse(X)),
% left_inverse(
% left_inverse(X))))))
% -> identity
% Current number of equations to process: 3257
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [194]
% multiply(X,left_inverse(left_inverse(multiply(multiply(left_inverse(X),
% left_inverse(X)),left_inverse(
% left_inverse(X))))))
% -> identity
% Current number of equations to process: 3287
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [195]
% multiply(X,multiply(multiply(left_inverse(multiply(multiply(X,X),left_inverse(X))),
% multiply(X,X)),left_inverse(left_inverse(left_inverse(
% multiply(
% multiply(X,X),
% left_inverse(X)))))))
% -> X
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [196]
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% multiply(
% multiply(X,X),
% left_inverse(X))))))))
% -> identity
% Current number of equations to process: 3328
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [197]
% multiply(multiply(multiply(multiply(multiply(X,X),left_inverse(X)),multiply(
% multiply(X,X),
% left_inverse(X))),
% left_inverse(X)),left_inverse(left_inverse(X))) -> multiply(X,X)
% Current number of equations to process: 3361
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [198]
% multiply(left_inverse(X),left_inverse(left_inverse(left_inverse(left_inverse(
% multiply(
% multiply(X,X),
% left_inverse(X)))))))
% -> identity
% Current number of equations to process: 3388
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [199]
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(multiply(
% multiply(X,X),
% left_inverse(X)))))))
% -> multiply(X,X)
% Current number of equations to process: 3417
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [200]
% multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(left_inverse(
% left_inverse(
% left_inverse(X)))))
% -> multiply(X,X)
% Current number of equations to process: 3442
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [201]
% multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X))))))
% -> identity
% Current number of equations to process: 3462
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [202]
% multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),multiply(
% multiply(
% left_inverse(
% multiply(
% multiply(X,X),
% left_inverse(X))),
% multiply(X,X)),
% left_inverse(
% left_inverse(
% left_inverse(
% multiply(
% multiply(X,X),
% left_inverse(X))))))))
% -> identity
% Current number of equations to process: 3482
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [203]
% multiply(multiply(multiply(left_inverse(multiply(multiply(X,X),left_inverse(X))),
% multiply(multiply(X,X),multiply(multiply(X,X),left_inverse(X)))),
% left_inverse(left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(X)))))),
% left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(multiply(
% multiply(X,X),
% left_inverse(X))))))))
% -> identity
% Current number of equations to process: 3508
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [204]
% multiply(multiply(multiply(multiply(multiply(X,X),left_inverse(X)),multiply(
% multiply(
% left_inverse(X),
% left_inverse(X)),
% left_inverse(
% multiply(
% multiply(X,X),
% left_inverse(X))))),
% left_inverse(left_inverse(multiply(multiply(X,X),left_inverse(X))))),
% left_inverse(left_inverse(left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(X))))))) ->
% identity
% Current number of equations to process: 3543
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [205]
% multiply(multiply(multiply(multiply(X,multiply(X,X)),left_inverse(X)),
% left_inverse(left_inverse(left_inverse(X)))),left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X))))))
% -> identity
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [206]
% multiply(left_inverse(left_inverse(left_inverse(X))),left_inverse(left_inverse(
% multiply(
% multiply(X,X),
% left_inverse(X)))))
% -> identity
% Current number of equations to process: 3577
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [207]
% multiply(multiply(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(X)))))),Y),X)
% -> multiply(X,multiply(Y,X))
% Current number of equations to process: 3585
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [208]
% multiply(X,multiply(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(X)))))),Y))
% -> multiply(X,multiply(X,Y))
% Current number of equations to process: 3634
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [209]
% multiply(multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(Y))))))),Y)
% -> multiply(multiply(X,Y),Y)
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [210]
% multiply(X,multiply(Y,left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(X))))))))
% -> multiply(X,multiply(Y,X))
% Current number of equations to process: 3729
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [211]
% multiply(X,multiply(left_inverse(multiply(multiply(X,X),left_inverse(
% left_inverse(
% left_inverse(X))))),X))
% -> X
% Current number of equations to process: 3769
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [212]
% multiply(multiply(left_inverse(multiply(multiply(X,X),left_inverse(left_inverse(
% left_inverse(X))))),X),X)
% -> X
% Current number of equations to process: 3798
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [213]
% multiply(X,multiply(X,left_inverse(multiply(multiply(X,X),left_inverse(
% left_inverse(
% left_inverse(X)))))))
% -> X
% Current number of equations to process: 3813
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [214]
% multiply(left_inverse(X),left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(left_inverse(
% left_inverse(X)))))))
% -> identity
% Current number of equations to process: 3838
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [215]
% multiply(X,left_inverse(left_inverse(multiply(multiply(X,X),left_inverse(
% left_inverse(
% left_inverse(X)))))))
% -> multiply(X,X)
% Current number of equations to process: 3867
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [216]
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(Y,left_inverse(X)))))
% <-> multiply(multiply(X,Y),left_inverse(X))
% Current number of equations to process: 3892
% Current number of ordered equations: 1
% Current number of rules: 135
% Rule [174]
% multiply(multiply(multiply(X,Y),left_inverse(X)),left_inverse(X)) ->
% multiply(multiply(X,multiply(Y,left_inverse(X))),left_inverse(X)) is composed into 
% [174]
% multiply(multiply(multiply(X,Y),left_inverse(X)),left_inverse(X)) ->
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(multiply(Y,left_inverse(X)),
% left_inverse(X)))))
% New rule produced :
% [217]
% multiply(multiply(X,Y),left_inverse(X)) <->
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(Y,left_inverse(X)))))
% Rule
% [82]
% multiply(multiply(Y,multiply(left_inverse(Y),X)),left_inverse(Y)) ->
% multiply(X,left_inverse(Y)) collapsed.
% Rule
% [175]
% multiply(multiply(X,left_inverse(multiply(X,X))),left_inverse(X)) ->
% multiply(left_inverse(X),multiply(X,left_inverse(multiply(X,X)))) collapsed.
% Current number of equations to process: 3892
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [218]
% multiply(multiply(X,left_inverse(left_inverse(Y))),left_inverse(left_inverse(
% left_inverse(Y))))
% -> multiply(multiply(X,Y),left_inverse(left_inverse(left_inverse(Y))))
% Current number of equations to process: 3997
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [219]
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(multiply(Y,X),
% left_inverse(X))) ->
% multiply(left_inverse(left_inverse(left_inverse(X))),Y)
% Current number of equations to process: 4039
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [220]
% multiply(multiply(Y,multiply(left_inverse(Y),X)),left_inverse(left_inverse(
% left_inverse(Y))))
% -> multiply(X,left_inverse(left_inverse(left_inverse(Y))))
% Current number of equations to process: 4110
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [221]
% multiply(multiply(multiply(X,Y),left_inverse(Y)),left_inverse(left_inverse(
% left_inverse(Y))))
% -> multiply(X,left_inverse(left_inverse(left_inverse(Y))))
% Rule
% [147]
% multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(left_inverse(
% left_inverse(X))))
% -> identity collapsed.
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [222]
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(X,multiply(
% left_inverse(X),Y)))
% -> multiply(left_inverse(left_inverse(left_inverse(X))),Y)
% Current number of equations to process: 4284
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [223]
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(left_inverse(X),
% multiply(X,Y))) ->
% multiply(left_inverse(left_inverse(left_inverse(X))),Y)
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [224]
% multiply(multiply(left_inverse(X),multiply(X,Y)),left_inverse(left_inverse(
% left_inverse(X))))
% -> multiply(Y,left_inverse(left_inverse(left_inverse(X))))
% Rule
% [177]
% multiply(multiply(left_inverse(X),multiply(X,left_inverse(multiply(X,X)))),
% left_inverse(left_inverse(left_inverse(X)))) ->
% multiply(left_inverse(multiply(X,X)),left_inverse(left_inverse(left_inverse(X))))
% collapsed.
% Current number of equations to process: 4435
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [225]
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(Y,left_inverse(
% left_inverse(X))))
% -> multiply(left_inverse(left_inverse(left_inverse(X))),multiply(Y,X))
% Current number of equations to process: 4530
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [226]
% multiply(Y,left_inverse(left_inverse(left_inverse(X)))) <->
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(X,multiply(Y,
% left_inverse(X))))
% Current number of equations to process: 4575
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [227]
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(X,multiply(Y,
% left_inverse(X))))
% <-> multiply(Y,left_inverse(left_inverse(left_inverse(X))))
% Current number of equations to process: 4575
% Current number of ordered equations: 0
% Current number of rules: 142
% Rule [167]
% multiply(multiply(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X))))),Y),X)
% -> multiply(multiply(left_inverse(X),Y),X) is composed into [167]
% multiply(
% multiply(
% left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X))))),Y),X)
% ->
% multiply(X,
% multiply(
% left_inverse(X),
% multiply(
% left_inverse(X),
% multiply(Y,X))))
% Rule [162]
% multiply(Y,left_inverse(left_inverse(X))) <->
% multiply(left_inverse(left_inverse(X)),multiply(multiply(left_inverse(X),Y),X)) is composed into 
% [162]
% multiply(Y,left_inverse(left_inverse(X))) <->
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(left_inverse(X),
% multiply(left_inverse(X),
% multiply(Y,X)))))
% Rule [97]
% multiply(multiply(left_inverse(left_inverse(left_inverse(X))),Y),X) ->
% multiply(multiply(left_inverse(X),Y),X) is composed into [97]
% multiply(
% multiply(
% left_inverse(
% left_inverse(
% left_inverse(X))),Y),X)
% ->
% multiply(X,
% multiply(
% left_inverse(X),
% multiply(
% left_inverse(X),
% multiply(Y,X))))
% New rule produced :
% [228]
% multiply(multiply(left_inverse(X),Y),X) ->
% multiply(X,multiply(left_inverse(X),multiply(left_inverse(X),multiply(Y,X))))
% Rule
% [62] multiply(Y,multiply(multiply(left_inverse(Y),X),Y)) -> multiply(X,Y)
% collapsed.
% Rule
% [104]
% multiply(multiply(left_inverse(left_inverse(X)),Y),left_inverse(X)) ->
% multiply(multiply(X,Y),left_inverse(X)) collapsed.
% Rule
% [105] multiply(multiply(left_inverse(X),multiply(X,Y)),X) -> multiply(Y,X)
% collapsed.
% Rule
% [131]
% multiply(multiply(multiply(left_inverse(X),Y),X),X) ->
% multiply(multiply(left_inverse(X),multiply(Y,X)),X) collapsed.
% Rule
% [163]
% multiply(left_inverse(left_inverse(X)),multiply(multiply(left_inverse(X),Y),X))
% <-> multiply(Y,left_inverse(left_inverse(X))) collapsed.
% Rule
% [171]
% multiply(multiply(left_inverse(X),multiply(Y,left_inverse(X))),X) ->
% multiply(X,multiply(left_inverse(X),multiply(left_inverse(X),Y))) collapsed.
% Rule
% [178]
% multiply(multiply(left_inverse(X),left_inverse(multiply(X,X))),X) ->
% multiply(X,multiply(left_inverse(X),left_inverse(multiply(X,X)))) collapsed.
% Rule
% [181]
% multiply(left_inverse(X),multiply(multiply(left_inverse(X),Y),X)) ->
% multiply(left_inverse(X),multiply(left_inverse(X),multiply(Y,X))) collapsed.
% Current number of equations to process: 4692
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [229]
% multiply(left_inverse(left_inverse(left_inverse(X))),Y) <->
% multiply(multiply(left_inverse(X),multiply(Y,X)),left_inverse(left_inverse(
% left_inverse(X))))
% Current number of equations to process: 4730
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [230]
% multiply(multiply(left_inverse(X),multiply(Y,X)),left_inverse(left_inverse(
% left_inverse(X))))
% <-> multiply(left_inverse(left_inverse(left_inverse(X))),Y)
% Current number of equations to process: 4730
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [231]
% multiply(multiply(left_inverse(left_inverse(X)),Y),left_inverse(left_inverse(
% left_inverse(X))))
% -> multiply(multiply(X,Y),left_inverse(left_inverse(left_inverse(X))))
% Current number of equations to process: 4858
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [232]
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(left_inverse(
% left_inverse(X)),Y))
% -> multiply(left_inverse(left_inverse(left_inverse(X))),multiply(X,Y))
% Current number of equations to process: 4888
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [233]
% multiply(Y,left_inverse(left_inverse(left_inverse(X)))) <->
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(multiply(X,Y),
% left_inverse(X)))
% Current number of equations to process: 4912
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [234]
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(multiply(X,Y),
% left_inverse(X))) <->
% multiply(Y,left_inverse(left_inverse(left_inverse(X))))
% Current number of equations to process: 4912
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [235]
% multiply(multiply(X,X),multiply(Y,X)) ->
% multiply(X,multiply(X,multiply(Y,X)))
% Current number of equations to process: 2147
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [236]
% multiply(multiply(X,X),multiply(Y,left_inverse(left_inverse(X)))) <->
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(Y,X)))
% Current number of equations to process: 2155
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [237]
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(Y,X))) <->
% multiply(multiply(X,X),multiply(Y,left_inverse(left_inverse(X))))
% Current number of equations to process: 2155
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [238]
% multiply(multiply(X,multiply(X,X)),left_inverse(left_inverse(X))) ->
% multiply(X,multiply(X,multiply(X,X)))
% Current number of equations to process: 2172
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [239]
% multiply(multiply(X,X),multiply(X,multiply(left_inverse(X),Y))) ->
% multiply(X,multiply(X,Y))
% Current number of equations to process: 2184
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [240]
% multiply(multiply(X,X),multiply(X,multiply(X,X))) ->
% multiply(X,multiply(X,multiply(X,multiply(X,X))))
% Current number of equations to process: 2221
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [241]
% multiply(multiply(X,X),multiply(X,multiply(Y,X))) ->
% multiply(X,multiply(X,multiply(X,multiply(Y,X))))
% Rule
% [240]
% multiply(multiply(X,X),multiply(X,multiply(X,X))) ->
% multiply(X,multiply(X,multiply(X,multiply(X,X)))) collapsed.
% Current number of equations to process: 2220
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [242]
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(X,Y))) ->
% multiply(multiply(X,X),multiply(left_inverse(left_inverse(X)),Y))
% Current number of equations to process: 2294
% Current number of ordered equations: 0
% Current number of rules: 148
% Rule [180]
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(Y,X))) <->
% multiply(multiply(X,multiply(X,Y)),left_inverse(left_inverse(X))) is composed into 
% [180]
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(Y,X))) <->
% multiply(multiply(X,X),multiply(Y,left_inverse(left_inverse(X))))
% New rule produced :
% [243]
% multiply(multiply(X,multiply(X,Y)),left_inverse(left_inverse(X))) ->
% multiply(multiply(X,X),multiply(Y,left_inverse(left_inverse(X))))
% Rule
% [179]
% multiply(multiply(X,multiply(X,Y)),left_inverse(left_inverse(X))) <->
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(Y,X))) collapsed.
% Rule
% [238]
% multiply(multiply(X,multiply(X,X)),left_inverse(left_inverse(X))) ->
% multiply(X,multiply(X,multiply(X,X))) collapsed.
% Current number of equations to process: 2404
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [244]
% multiply(multiply(X,X),multiply(X,Y)) ->
% multiply(X,multiply(X,multiply(X,Y)))
% Rule
% [176]
% multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),multiply(
% multiply(
% multiply(X,X),
% multiply(X,
% left_inverse(
% multiply(X,X)))),
% left_inverse(
% left_inverse(
% multiply(X,X))))))
% ->
% multiply(left_inverse(left_inverse(X)),left_inverse(left_inverse(multiply(X,X))))
% collapsed.
% Rule
% [239]
% multiply(multiply(X,X),multiply(X,multiply(left_inverse(X),Y))) ->
% multiply(X,multiply(X,Y)) collapsed.
% Rule
% [241]
% multiply(multiply(X,X),multiply(X,multiply(Y,X))) ->
% multiply(X,multiply(X,multiply(X,multiply(Y,X)))) collapsed.
% Current number of equations to process: 2432
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [245]
% multiply(multiply(multiply(X,X),left_inverse(X)),multiply(multiply(X,X),
% left_inverse(X))) ->
% multiply(X,X)
% Rule
% [197]
% multiply(multiply(multiply(multiply(multiply(X,X),left_inverse(X)),multiply(
% multiply(X,X),
% left_inverse(X))),
% left_inverse(X)),left_inverse(left_inverse(X))) -> multiply(X,X)
% collapsed.
% Current number of equations to process: 2726
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [246]
% multiply(multiply(multiply(X,Y),left_inverse(Y)),multiply(multiply(X,Y),
% left_inverse(Y))) ->
% multiply(X,X)
% Rule
% [245]
% multiply(multiply(multiply(X,X),left_inverse(X)),multiply(multiply(X,X),
% left_inverse(X))) ->
% multiply(X,X) collapsed.
% Current number of equations to process: 2781
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [247]
% multiply(multiply(left_inverse(left_inverse(X)),Y),multiply(left_inverse(
% left_inverse(X)),Y))
% -> multiply(multiply(X,Y),multiply(X,Y))
% Current number of equations to process: 2967
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [248]
% multiply(multiply(X,left_inverse(multiply(left_inverse(X),multiply(X,Y)))),
% multiply(Y,X)) -> multiply(X,X)
% Current number of equations to process: 3069
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [249]
% multiply(X,multiply(multiply(multiply(multiply(multiply(left_inverse(X),
% multiply(multiply(X,X),
% multiply(multiply(X,X),
% left_inverse(left_inverse(X))))),
% left_inverse(left_inverse(left_inverse(X)))),
% left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X)))))),
% left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X)))))))),
% left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X)))))))))))
% -> X
% Current number of equations to process: 3199
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [250]
% multiply(multiply(multiply(multiply(multiply(multiply(left_inverse(X),
% multiply(multiply(X,X),multiply(
% multiply(X,X),
% left_inverse(
% left_inverse(X))))),
% left_inverse(left_inverse(left_inverse(X)))),
% left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X)))))),
% left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X)))))))),
% left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X)))))))))),X)
% -> X
% Current number of equations to process: 3232
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [251]
% multiply(X,multiply(multiply(Y,left_inverse(multiply(multiply(X,X),left_inverse(X)))),X))
% -> multiply(X,Y)
% Current number of equations to process: 3248
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [252]
% multiply(Y,multiply(multiply(left_inverse(multiply(multiply(Y,Y),left_inverse(Y))),X),Y))
% -> multiply(X,Y)
% Current number of equations to process: 3312
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [253]
% multiply(left_inverse(multiply(multiply(X,X),left_inverse(X))),left_inverse(
% left_inverse(
% left_inverse(X))))
% -> multiply(left_inverse(X),left_inverse(X))
% Current number of equations to process: 3392
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [254]
% multiply(left_inverse(multiply(multiply(X,X),left_inverse(X))),left_inverse(
% multiply(
% multiply(X,X),
% left_inverse(X))))
% -> multiply(left_inverse(X),left_inverse(X))
% Current number of equations to process: 3415
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [255]
% multiply(multiply(multiply(X,X),left_inverse(X)),multiply(left_inverse(X),
% left_inverse(X))) ->
% left_inverse(X)
% Current number of equations to process: 3433
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [256]
% multiply(left_inverse(X),left_inverse(left_inverse(left_inverse(multiply(
% multiply(X,X),
% left_inverse(X))))))
% -> multiply(left_inverse(X),left_inverse(X))
% Current number of equations to process: 3502
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [257]
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X)))))))))))
% -> multiply(X,X)
% Current number of equations to process: 3516
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [258]
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X))))))))))))
% -> identity
% Current number of equations to process: 3546
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [259]
% multiply(left_inverse(multiply(multiply(X,X),left_inverse(left_inverse(
% left_inverse(X))))),
% left_inverse(X)) -> multiply(left_inverse(X),left_inverse(X))
% Current number of equations to process: 3575
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [260]
% multiply(left_inverse(X),left_inverse(multiply(multiply(X,X),left_inverse(
% left_inverse(
% left_inverse(X))))))
% -> multiply(left_inverse(X),left_inverse(X))
% Current number of equations to process: 3610
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [261]
% multiply(X,left_inverse(multiply(multiply(X,X),left_inverse(left_inverse(
% left_inverse(X))))))
% -> identity
% Rule
% [213]
% multiply(X,multiply(X,left_inverse(multiply(multiply(X,X),left_inverse(
% left_inverse(
% left_inverse(X)))))))
% -> X collapsed.
% Current number of equations to process: 3619
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [262]
% multiply(left_inverse(multiply(multiply(X,X),left_inverse(left_inverse(
% left_inverse(X))))),X)
% -> identity
% Rule
% [186]
% multiply(left_inverse(left_inverse(X)),multiply(left_inverse(X),multiply(
% left_inverse(
% multiply(
% multiply(X,X),
% left_inverse(
% left_inverse(
% left_inverse(X))))),X)))
% -> identity collapsed.
% Rule
% [211]
% multiply(X,multiply(left_inverse(multiply(multiply(X,X),left_inverse(
% left_inverse(
% left_inverse(X))))),X))
% -> X collapsed.
% Rule
% [212]
% multiply(multiply(left_inverse(multiply(multiply(X,X),left_inverse(left_inverse(
% left_inverse(X))))),X),X)
% -> X collapsed.
% Current number of equations to process: 3650
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [263]
% multiply(X,left_inverse(left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(left_inverse(
% left_inverse(X))))))))
% -> identity
% Current number of equations to process: 3679
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [264]
% multiply(multiply(X,left_inverse(left_inverse(Y))),multiply(X,left_inverse(
% left_inverse(Y))))
% -> multiply(multiply(X,Y),multiply(X,Y))
% Current number of equations to process: 3698
% Current number of ordered equations: 2
% Current number of rules: 159
% New rule produced :
% [265]
% multiply(multiply(left_inverse(X),multiply(X,Y)),multiply(multiply(Y,X),
% left_inverse(X))) ->
% multiply(Y,Y)
% Current number of equations to process: 3698
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [266]
% multiply(multiply(multiply(X,Y),left_inverse(Y)),multiply(left_inverse(Y),
% multiply(Y,X))) ->
% multiply(X,X)
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [267]
% multiply(X,multiply(multiply(left_inverse(multiply(left_inverse(X),multiply(X,Y))),Y),X))
% -> multiply(X,X)
% Current number of equations to process: 4028
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [268]
% multiply(multiply(X,left_inverse(multiply(multiply(Y,X),left_inverse(X)))),
% multiply(Y,X)) -> multiply(X,X)
% Current number of equations to process: 4112
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [269]
% multiply(multiply(multiply(left_inverse(X),left_inverse(X)),left_inverse(
% left_inverse(X))),
% multiply(X,X)) -> left_inverse(left_inverse(X))
% Rule
% [193]
% multiply(multiply(multiply(multiply(left_inverse(X),left_inverse(X)),
% left_inverse(left_inverse(X))),multiply(X,X)),left_inverse(
% left_inverse(
% multiply(
% multiply(
% left_inverse(X),
% left_inverse(X)),
% left_inverse(
% left_inverse(X))))))
% -> identity collapsed.
% Current number of equations to process: 4253
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [270]
% multiply(multiply(X,X),multiply(left_inverse(multiply(X,X)),left_inverse(
% left_inverse(X))))
% -> left_inverse(left_inverse(X))
% Current number of equations to process: 4273
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [271]
% multiply(multiply(Y,multiply(left_inverse(Y),X)),multiply(Y,multiply(
% left_inverse(Y),X)))
% -> multiply(X,X)
% Current number of equations to process: 4304
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [272]
% multiply(multiply(left_inverse(Y),multiply(Y,X)),multiply(left_inverse(Y),
% multiply(Y,X))) ->
% multiply(X,X)
% Current number of equations to process: 4408
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [273]
% multiply(left_inverse(X),multiply(multiply(multiply(X,Y),multiply(Y,X)),
% left_inverse(X))) -> multiply(Y,Y)
% Current number of equations to process: 4555
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [274] multiply(multiply(X,multiply(X,X)),left_inverse(X)) -> multiply(X,X)
% Rule
% [205]
% multiply(multiply(multiply(multiply(X,multiply(X,X)),left_inverse(X)),
% left_inverse(left_inverse(left_inverse(X)))),left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X))))))
% -> identity collapsed.
% Current number of equations to process: 4564
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [275]
% multiply(multiply(left_inverse(X),left_inverse(X)),multiply(Y,Y)) ->
% multiply(left_inverse(X),multiply(left_inverse(X),multiply(Y,Y)))
% Current number of equations to process: 4563
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [276] multiply(left_inverse(X),multiply(X,multiply(Y,Y))) -> multiply(Y,Y)
% Current number of equations to process: 4594
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [277]
% multiply(multiply(X,multiply(X,X)),left_inverse(left_inverse(left_inverse(X))))
% -> multiply(X,X)
% Current number of equations to process: 4601
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [278] multiply(multiply(multiply(X,X),Y),left_inverse(Y)) -> multiply(X,X)
% Current number of equations to process: 4607
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [279]
% multiply(multiply(X,X),multiply(left_inverse(X),left_inverse(X))) -> identity
% Current number of equations to process: 4743
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [280]
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(Y,Y))) ->
% multiply(multiply(X,X),multiply(Y,Y))
% Current number of equations to process: 4757
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [281]
% multiply(multiply(X,multiply(X,X)),multiply(X,X)) ->
% multiply(X,multiply(X,multiply(X,multiply(X,X))))
% Current number of equations to process: 4789
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [282] left_inverse(left_inverse(multiply(X,X))) -> multiply(X,X)
% Rule
% [182]
% multiply(multiply(multiply(multiply(X,X),multiply(multiply(X,left_inverse(
% multiply(X,X))),
% left_inverse(multiply(X,X)))),
% left_inverse(left_inverse(multiply(X,X)))),left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% multiply(X,X))))))
% ->
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(multiply(X,X))))))
% collapsed.
% Rule
% [183]
% multiply(multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(
% multiply(X,X))),
% left_inverse(left_inverse(left_inverse(multiply(X,X))))) ->
% multiply(left_inverse(X),left_inverse(left_inverse(left_inverse(multiply(X,X)))))
% collapsed.
% Current number of equations to process: 4824
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [283]
% multiply(left_inverse(Y),left_inverse(left_inverse(multiply(Y,multiply(X,X)))))
% -> multiply(X,X)
% Current number of equations to process: 4839
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [284]
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(X,multiply(Y,Y)))
% -> multiply(Y,Y)
% Current number of equations to process: 4838
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [285]
% multiply(multiply(multiply(X,X),Y),left_inverse(left_inverse(left_inverse(Y))))
% -> multiply(X,X)
% Rule
% [200]
% multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(left_inverse(
% left_inverse(
% left_inverse(X)))))
% -> multiply(X,X) collapsed.
% Current number of equations to process: 4838
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [286]
% left_inverse(multiply(X,X)) -> multiply(left_inverse(X),left_inverse(X))
% Rule
% [72]
% multiply(left_inverse(multiply(X,X)),X) ->
% multiply(X,left_inverse(multiply(X,X))) collapsed.
% Rule
% [90]
% multiply(left_inverse(multiply(X,X)),left_inverse(X)) ->
% multiply(left_inverse(X),left_inverse(multiply(X,X))) collapsed.
% Rule
% [270]
% multiply(multiply(X,X),multiply(left_inverse(multiply(X,X)),left_inverse(
% left_inverse(X))))
% -> left_inverse(left_inverse(X)) collapsed.
% Rule [282] left_inverse(left_inverse(multiply(X,X))) -> multiply(X,X)
% collapsed.
% Current number of equations to process: 4922
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [287]
% multiply(multiply(left_inverse(X),left_inverse(X)),multiply(X,multiply(X,
% multiply(X,X))))
% -> multiply(X,X)
% Current number of equations to process: 4999
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [288]
% multiply(left_inverse(multiply(X,Y)),multiply(X,multiply(multiply(Y,X),X)))
% -> multiply(X,X)
% Current number of equations to process: 4998
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [289]
% multiply(left_inverse(left_inverse(multiply(X,multiply(X,X)))),left_inverse(
% left_inverse(
% left_inverse(X))))
% -> multiply(X,X)
% Current number of equations to process: 4997
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [290]
% multiply(multiply(X,multiply(X,multiply(X,Y))),left_inverse(multiply(X,Y)))
% -> multiply(X,X)
% Current number of equations to process: 4996
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [291]
% multiply(multiply(X,multiply(X,multiply(Y,X))),left_inverse(multiply(Y,X)))
% -> multiply(X,X)
% Current number of equations to process: 4995
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [292]
% multiply(X,multiply(multiply(X,X),multiply(Y,Y))) ->
% multiply(X,multiply(X,multiply(X,multiply(Y,Y))))
% Current number of equations to process: 4994
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [293]
% multiply(multiply(multiply(X,X),multiply(Y,Y)),X) ->
% multiply(X,multiply(X,multiply(multiply(Y,Y),X)))
% Current number of equations to process: 4993
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [294]
% multiply(X,left_inverse(left_inverse(multiply(X,multiply(Y,Y))))) ->
% multiply(X,multiply(X,multiply(Y,Y)))
% Current number of equations to process: 2037
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [295]
% multiply(left_inverse(left_inverse(left_inverse(Y))),left_inverse(left_inverse(
% multiply(Y,
% multiply(X,X)))))
% -> multiply(X,X)
% Current number of equations to process: 2207
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [296]
% multiply(left_inverse(left_inverse(multiply(multiply(X,X),Y))),left_inverse(
% left_inverse(
% left_inverse(Y))))
% -> multiply(X,X)
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [297]
% multiply(left_inverse(multiply(X,Y)),multiply(multiply(multiply(X,Y),Y),Y))
% -> multiply(Y,Y)
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [298]
% multiply(X,left_inverse(left_inverse(multiply(left_inverse(X),multiply(Y,Y)))))
% -> multiply(X,multiply(left_inverse(X),multiply(Y,Y)))
% Current number of equations to process: 3065
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [299]
% multiply(left_inverse(X),left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(left_inverse(X))))))
% -> multiply(X,X)
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [300]
% multiply(multiply(multiply(left_inverse(multiply(left_inverse(X),multiply(X,Y))),Y),X),X)
% -> multiply(X,X)
% Current number of equations to process: 3144
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [301]
% multiply(X,multiply(multiply(left_inverse(multiply(multiply(Y,X),left_inverse(X))),Y),X))
% -> multiply(X,X)
% Current number of equations to process: 3225
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [302]
% multiply(left_inverse(X),multiply(multiply(left_inverse(multiply(left_inverse(X),
% multiply(X,Y))),Y),X))
% -> identity
% Current number of equations to process: 3336
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [303]
% multiply(multiply(left_inverse(multiply(left_inverse(X),multiply(X,Y))),Y),X)
% -> X
% Rule
% [267]
% multiply(X,multiply(multiply(left_inverse(multiply(left_inverse(X),multiply(X,Y))),Y),X))
% -> multiply(X,X) collapsed.
% Rule
% [300]
% multiply(multiply(multiply(left_inverse(multiply(left_inverse(X),multiply(X,Y))),Y),X),X)
% -> multiply(X,X) collapsed.
% Rule
% [302]
% multiply(left_inverse(X),multiply(multiply(left_inverse(multiply(left_inverse(X),
% multiply(X,Y))),Y),X))
% -> identity collapsed.
% Current number of equations to process: 3356
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [304]
% multiply(multiply(left_inverse(multiply(multiply(X,Y),left_inverse(Y))),X),Y)
% -> Y
% Rule
% [301]
% multiply(X,multiply(multiply(left_inverse(multiply(multiply(Y,X),left_inverse(X))),Y),X))
% -> multiply(X,X) collapsed.
% Current number of equations to process: 3409
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [305]
% multiply(multiply(left_inverse(multiply(left_inverse(left_inverse(X)),Y)),
% multiply(X,Y)),left_inverse(X)) -> left_inverse(X)
% Current number of equations to process: 3567
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [306]
% multiply(multiply(left_inverse(multiply(X,left_inverse(left_inverse(Y)))),
% multiply(X,Y)),left_inverse(Y)) -> left_inverse(Y)
% Current number of equations to process: 3570
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [307]
% multiply(multiply(X,X),multiply(multiply(left_inverse(X),left_inverse(X)),
% left_inverse(left_inverse(X)))) ->
% left_inverse(left_inverse(X))
% Current number of equations to process: 3859
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [308]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(X)))),multiply(X,
% multiply(Y,Y)))
% -> multiply(multiply(X,X),multiply(Y,Y))
% Current number of equations to process: 3869
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [309]
% multiply(multiply(X,multiply(X,multiply(X,X))),multiply(left_inverse(X),
% left_inverse(X))) ->
% multiply(X,X)
% Current number of equations to process: 3926
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [310]
% multiply(left_inverse(left_inverse(X)),left_inverse(left_inverse(multiply(X,
% multiply(Y,Y)))))
% -> multiply(multiply(X,X),multiply(Y,Y))
% Current number of equations to process: 3954
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [311]
% multiply(multiply(X,X),multiply(left_inverse(X),multiply(left_inverse(X),
% multiply(Y,Y)))) ->
% multiply(Y,Y)
% Current number of equations to process: 4002
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [312]
% multiply(multiply(X,multiply(left_inverse(Y),left_inverse(Y))),multiply(
% multiply(Y,Y),X))
% -> multiply(X,X)
% Current number of equations to process: 4027
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [313]
% multiply(multiply(left_inverse(X),left_inverse(X)),multiply(multiply(X,X),
% multiply(Y,Y))) ->
% multiply(Y,Y)
% Current number of equations to process: 4092
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [314]
% multiply(multiply(multiply(X,X),multiply(Y,Y)),multiply(left_inverse(Y),
% left_inverse(Y))) ->
% multiply(X,X)
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [315]
% multiply(multiply(X,X),left_inverse(multiply(X,multiply(X,multiply(X,X)))))
% -> multiply(left_inverse(X),left_inverse(X))
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [316]
% multiply(left_inverse(multiply(X,multiply(Y,left_inverse(X)))),multiply(X,
% multiply(Y,X)))
% -> multiply(X,X)
% Current number of equations to process: 4174
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [317]
% left_inverse(multiply(X,multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X))))) ->
% multiply(X,X)
% Current number of equations to process: 4225
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [318]
% multiply(left_inverse(multiply(X,multiply(left_inverse(X),left_inverse(X)))),X)
% -> multiply(X,X)
% Current number of equations to process: 4227
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [319]
% multiply(left_inverse(multiply(X,multiply(left_inverse(X),Y))),multiply(
% multiply(Y,X),X))
% -> multiply(X,X)
% Current number of equations to process: 4475
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [320]
% multiply(multiply(X,multiply(X,Y)),left_inverse(multiply(X,multiply(left_inverse(X),Y))))
% -> multiply(X,X)
% Current number of equations to process: 4633
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [321]
% multiply(X,left_inverse(multiply(X,multiply(left_inverse(X),left_inverse(X)))))
% -> multiply(X,X)
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [322]
% multiply(multiply(X,multiply(left_inverse(X),left_inverse(X))),multiply(X,X))
% -> X
% Current number of equations to process: 4786
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [323]
% multiply(left_inverse(X),left_inverse(multiply(X,multiply(left_inverse(X),
% left_inverse(X))))) ->
% identity
% Current number of equations to process: 4785
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [324]
% multiply(left_inverse(multiply(X,multiply(left_inverse(X),left_inverse(X)))),
% left_inverse(X)) -> identity
% Current number of equations to process: 4821
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [325]
% multiply(left_inverse(left_inverse(X)),left_inverse(multiply(X,multiply(
% left_inverse(X),
% left_inverse(X)))))
% -> multiply(X,X)
% Current number of equations to process: 4846
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [326]
% multiply(left_inverse(multiply(X,multiply(left_inverse(X),left_inverse(X)))),
% left_inverse(left_inverse(left_inverse(X)))) -> identity
% Current number of equations to process: 4845
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [327]
% multiply(left_inverse(X),left_inverse(left_inverse(left_inverse(multiply(X,
% multiply(
% left_inverse(X),
% left_inverse(X)))))))
% -> identity
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [328]
% multiply(X,left_inverse(left_inverse(left_inverse(multiply(X,multiply(
% left_inverse(X),
% left_inverse(X)))))))
% -> multiply(X,X)
% Current number of equations to process: 4878
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [329]
% multiply(Y,multiply(left_inverse(Y),left_inverse(left_inverse(multiply(
% multiply(X,X),Y)))))
% -> multiply(multiply(X,X),Y)
% Current number of equations to process: 4896
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [330]
% multiply(X,left_inverse(left_inverse(multiply(multiply(Y,Y),X)))) ->
% multiply(X,multiply(multiply(Y,Y),X))
% Rule
% [144]
% multiply(left_inverse(X),left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(X))))) ->
% identity collapsed.
% Current number of equations to process: 4915
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [331]
% multiply(left_inverse(X),left_inverse(left_inverse(multiply(multiply(Y,Y),X))))
% -> multiply(left_inverse(X),multiply(multiply(Y,Y),X))
% Rule
% [190]
% multiply(left_inverse(left_inverse(X)),left_inverse(left_inverse(multiply(
% multiply(X,X),
% left_inverse(X)))))
% -> multiply(X,X) collapsed.
% Rule
% [329]
% multiply(Y,multiply(left_inverse(Y),left_inverse(left_inverse(multiply(
% multiply(X,X),Y)))))
% -> multiply(multiply(X,X),Y) collapsed.
% Current number of equations to process: 4925
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [332]
% multiply(X,left_inverse(left_inverse(multiply(multiply(Y,Y),left_inverse(X)))))
% -> multiply(X,multiply(multiply(Y,Y),left_inverse(X)))
% Rule
% [140]
% multiply(X,left_inverse(left_inverse(multiply(multiply(X,X),left_inverse(X)))))
% -> multiply(X,X) collapsed.
% Rule
% [299]
% multiply(left_inverse(X),left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(left_inverse(X))))))
% -> multiply(X,X) collapsed.
% Current number of equations to process: 4979
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [333]
% multiply(X,left_inverse(left_inverse(multiply(left_inverse(left_inverse(X)),
% multiply(Y,Y))))) ->
% multiply(X,multiply(X,multiply(Y,Y)))
% Current number of equations to process: 1317
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [334]
% multiply(X,left_inverse(left_inverse(multiply(multiply(X,X),left_inverse(
% left_inverse(X))))))
% -> multiply(X,multiply(X,multiply(X,X)))
% Current number of equations to process: 1367
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [335]
% multiply(multiply(left_inverse(multiply(left_inverse(X),Y)),multiply(
% left_inverse(
% left_inverse(
% left_inverse(X))),Y)),X)
% -> X
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [336]
% multiply(left_inverse(X),multiply(X,multiply(left_inverse(multiply(left_inverse(X),
% multiply(X,Y))),Y)))
% -> identity
% Current number of equations to process: 1495
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [337]
% multiply(multiply(left_inverse(multiply(left_inverse(X),multiply(X,Y))),Y),
% left_inverse(X)) -> left_inverse(X)
% Current number of equations to process: 1522
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [338]
% multiply(X,multiply(left_inverse(multiply(left_inverse(X),multiply(X,Y))),Y))
% -> X
% Rule
% [336]
% multiply(left_inverse(X),multiply(X,multiply(left_inverse(multiply(left_inverse(X),
% multiply(X,Y))),Y)))
% -> identity collapsed.
% Current number of equations to process: 1530
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [339]
% multiply(multiply(left_inverse(multiply(multiply(X,Y),left_inverse(Y))),X),
% left_inverse(Y)) -> left_inverse(Y)
% Current number of equations to process: 1604
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [340]
% multiply(X,multiply(left_inverse(multiply(multiply(Y,X),left_inverse(X))),Y))
% -> X
% Current number of equations to process: 1693
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [341]
% multiply(left_inverse(X),multiply(left_inverse(multiply(left_inverse(X),
% multiply(X,Y))),Y)) ->
% left_inverse(X)
% Current number of equations to process: 1751
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [342]
% multiply(X,multiply(left_inverse(multiply(left_inverse(left_inverse(X)),
% multiply(left_inverse(X),Y))),Y)) -> X
% Current number of equations to process: 1751
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [343]
% multiply(left_inverse(X),multiply(left_inverse(multiply(multiply(Y,X),
% left_inverse(X))),Y)) ->
% left_inverse(X)
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [344]
% multiply(X,multiply(left_inverse(multiply(multiply(Y,left_inverse(X)),
% left_inverse(left_inverse(X)))),Y)) -> X
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [345]
% multiply(X,multiply(left_inverse(multiply(left_inverse(left_inverse(X)),Y)),
% multiply(X,Y))) -> X
% Current number of equations to process: 2147
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [346]
% multiply(X,multiply(left_inverse(multiply(Y,left_inverse(left_inverse(X)))),
% multiply(Y,X))) -> X
% Current number of equations to process: 2156
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [347]
% multiply(multiply(left_inverse(multiply(left_inverse(left_inverse(X)),
% multiply(left_inverse(X),Y))),Y),X) -> X
% Current number of equations to process: 2185
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [348]
% multiply(multiply(left_inverse(multiply(multiply(X,left_inverse(Y)),left_inverse(
% left_inverse(Y)))),X),Y)
% -> Y
% Current number of equations to process: 2376
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [349]
% multiply(multiply(left_inverse(multiply(left_inverse(left_inverse(X)),Y)),
% multiply(X,Y)),X) -> X
% Current number of equations to process: 2539
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [350]
% multiply(multiply(left_inverse(multiply(X,left_inverse(left_inverse(Y)))),
% multiply(X,Y)),Y) -> Y
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [351]
% multiply(left_inverse(X),multiply(left_inverse(multiply(left_inverse(
% left_inverse(X)),Y)),
% multiply(X,Y))) -> left_inverse(X)
% Current number of equations to process: 3239
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [352]
% multiply(left_inverse(X),multiply(left_inverse(multiply(Y,left_inverse(
% left_inverse(X)))),
% multiply(Y,X))) -> left_inverse(X)
% Current number of equations to process: 3240
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [353]
% multiply(multiply(left_inverse(multiply(X,left_inverse(Y))),multiply(X,
% left_inverse(
% left_inverse(
% left_inverse(Y))))),Y)
% -> Y
% Current number of equations to process: 3624
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [354]
% multiply(left_inverse(multiply(X,multiply(X,multiply(X,X)))),multiply(X,X))
% -> multiply(left_inverse(X),left_inverse(X))
% Current number of equations to process: 3726
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [355]
% multiply(multiply(X,multiply(Y,Y)),multiply(multiply(left_inverse(Y),
% left_inverse(Y)),X)) ->
% multiply(X,X)
% Current number of equations to process: 3754
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [356]
% multiply(multiply(X,multiply(left_inverse(X),left_inverse(X))),multiply(X,
% multiply(X,X)))
% -> multiply(X,X)
% Current number of equations to process: 3832
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [357]
% multiply(left_inverse(X),multiply(multiply(X,X),multiply(multiply(X,X),
% left_inverse(X)))) ->
% multiply(X,X)
% Current number of equations to process: 3885
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [358]
% multiply(multiply(X,X),left_inverse(multiply(multiply(Y,Y),multiply(X,X))))
% -> multiply(left_inverse(Y),left_inverse(Y))
% Current number of equations to process: 3953
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [359]
% multiply(multiply(multiply(X,X),multiply(left_inverse(Y),left_inverse(Y))),
% multiply(Y,Y)) -> multiply(X,X)
% Current number of equations to process: 3985
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [360]
% multiply(left_inverse(multiply(multiply(X,X),multiply(Y,Y))),multiply(X,X))
% -> multiply(left_inverse(Y),left_inverse(Y))
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [361]
% multiply(multiply(X,multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X)))),multiply(X,X))
% -> identity
% Current number of equations to process: 4050
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [362]
% multiply(X,left_inverse(left_inverse(multiply(multiply(Y,Y),left_inverse(
% left_inverse(X))))))
% -> multiply(X,multiply(multiply(Y,Y),X))
% Rule
% [194]
% multiply(X,left_inverse(left_inverse(multiply(multiply(left_inverse(X),
% left_inverse(X)),left_inverse(
% left_inverse(X))))))
% -> identity collapsed.
% Rule
% [214]
% multiply(left_inverse(X),left_inverse(left_inverse(multiply(multiply(X,X),
% left_inverse(left_inverse(
% left_inverse(X)))))))
% -> identity collapsed.
% Rule
% [334]
% multiply(X,left_inverse(left_inverse(multiply(multiply(X,X),left_inverse(
% left_inverse(X))))))
% -> multiply(X,multiply(X,multiply(X,X))) collapsed.
% Current number of equations to process: 4058
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [363]
% multiply(left_inverse(left_inverse(X)),multiply(left_inverse(multiply(
% left_inverse(X),
% multiply(X,Y))),Y))
% -> left_inverse(left_inverse(X))
% Current number of equations to process: 4112
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [364]
% multiply(X,multiply(left_inverse(multiply(left_inverse(X),Y)),multiply(
% left_inverse(
% left_inverse(
% left_inverse(X))),Y)))
% -> X
% Current number of equations to process: 4224
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [365]
% multiply(X,multiply(left_inverse(multiply(Y,left_inverse(X))),multiply(Y,
% left_inverse(
% left_inverse(
% left_inverse(X))))))
% -> X
% Current number of equations to process: 4365
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [366]
% multiply(left_inverse(left_inverse(X)),multiply(left_inverse(multiply(
% multiply(Y,X),
% left_inverse(X))),Y))
% -> left_inverse(left_inverse(X))
% Current number of equations to process: 4504
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [367]
% multiply(X,multiply(left_inverse(multiply(left_inverse(left_inverse(left_inverse(X))),Y)),
% multiply(left_inverse(X),Y))) -> X
% Current number of equations to process: 4634
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [368]
% multiply(X,multiply(left_inverse(multiply(Y,left_inverse(left_inverse(
% left_inverse(X))))),
% multiply(Y,left_inverse(X)))) -> X
% Current number of equations to process: 4785
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [369]
% multiply(multiply(left_inverse(multiply(left_inverse(left_inverse(left_inverse(X))),Y)),
% multiply(left_inverse(X),Y)),X) -> X
% Current number of equations to process: 4929
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [370]
% multiply(multiply(left_inverse(multiply(X,left_inverse(left_inverse(left_inverse(Y))))),
% multiply(X,left_inverse(Y))),Y) -> Y
% Current number of equations to process: 1603
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [371]
% multiply(multiply(X,multiply(X,X)),multiply(X,multiply(left_inverse(X),
% left_inverse(X)))) ->
% multiply(X,X)
% Current number of equations to process: 1700
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [372]
% multiply(X,multiply(multiply(Y,multiply(Z,left_inverse(X))),X)) <->
% multiply(multiply(X,Y),multiply(X,multiply(left_inverse(X),Z)))
% Current number of equations to process: 1736
% Current number of ordered equations: 2
% Current number of rules: 245
% New rule produced :
% [373]
% multiply(X,multiply(multiply(left_inverse(multiply(Y,X)),Y),X)) ->
% multiply(multiply(Y,X),multiply(left_inverse(multiply(Y,X)),X))
% Current number of equations to process: 1736
% Current number of ordered equations: 1
% Current number of rules: 246
% New rule produced :
% [374]
% multiply(multiply(X,Y),multiply(X,multiply(left_inverse(X),Z))) <->
% multiply(X,multiply(multiply(Y,multiply(Z,left_inverse(X))),X))
% Current number of equations to process: 1736
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [375]
% multiply(multiply(X,multiply(left_inverse(X),left_inverse(Y))),multiply(X,
% multiply(
% left_inverse(X),Y)))
% -> identity
% Current number of equations to process: 1834
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [376]
% multiply(X,multiply(multiply(Y,multiply(X,X)),X)) <->
% multiply(multiply(X,Y),multiply(X,multiply(X,X)))
% Current number of equations to process: 1859
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [377]
% multiply(multiply(X,Y),multiply(X,multiply(X,X))) <->
% multiply(X,multiply(multiply(Y,multiply(X,X)),X))
% Current number of equations to process: 1859
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [378]
% multiply(multiply(X,multiply(left_inverse(X),left_inverse(multiply(Y,X)))),
% multiply(Y,X)) -> identity
% Current number of equations to process: 2368
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [379]
% multiply(multiply(X,multiply(left_inverse(X),left_inverse(multiply(X,Y)))),
% multiply(X,Y)) -> identity
% Current number of equations to process: 2367
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [380]
% multiply(multiply(X,multiply(left_inverse(X),Y)),multiply(X,multiply(
% left_inverse(X),
% left_inverse(Y))))
% -> identity
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [381]
% multiply(multiply(left_inverse(X),multiply(X,left_inverse(Y))),multiply(
% left_inverse(X),
% multiply(X,Y)))
% -> identity
% Current number of equations to process: 2434
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [382]
% multiply(X,multiply(multiply(multiply(left_inverse(X),left_inverse(multiply(Y,X))),Y),X))
% -> identity
% Current number of equations to process: 2930
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [383]
% multiply(multiply(X,Y),multiply(Y,multiply(left_inverse(Y),left_inverse(
% multiply(X,Y)))))
% -> identity
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [384]
% multiply(multiply(X,Y),multiply(X,multiply(left_inverse(X),left_inverse(
% multiply(X,Y)))))
% -> identity
% Current number of equations to process: 3213
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [385]
% multiply(multiply(X,multiply(left_inverse(X),left_inverse(X))),left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X)))))
% -> identity
% Current number of equations to process: 3246
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [386]
% multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(multiply(X,
% multiply(
% left_inverse(X),
% left_inverse(X))))))))
% -> identity
% Current number of equations to process: 3247
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [387]
% multiply(multiply(left_inverse(X),multiply(X,Y)),multiply(left_inverse(X),
% multiply(X,left_inverse(Y))))
% -> identity
% Current number of equations to process: 3268
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [388]
% multiply(multiply(multiply(X,X),multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X)))),X)
% -> identity
% Current number of equations to process: 3439
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [389]
% multiply(left_inverse(X),multiply(multiply(left_inverse(X),left_inverse(X)),
% multiply(X,multiply(X,X)))) -> identity
% Current number of equations to process: 3439
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [390]
% multiply(multiply(left_inverse(X),multiply(X,left_inverse(Y))),multiply(
% multiply(Y,X),
% left_inverse(X)))
% -> identity
% Current number of equations to process: 3437
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [391]
% multiply(multiply(multiply(left_inverse(X),Y),left_inverse(Y)),multiply(
% left_inverse(Y),
% multiply(Y,X)))
% -> identity
% Current number of equations to process: 3437
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [392]
% multiply(multiply(multiply(multiply(left_inverse(X),left_inverse(multiply(Y,X))),Y),X),X)
% -> identity
% Current number of equations to process: 3527
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [393]
% multiply(X,multiply(multiply(X,X),multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X)))))
% -> identity
% Current number of equations to process: 4174
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [394]
% multiply(multiply(multiply(left_inverse(X),left_inverse(X)),multiply(X,
% multiply(X,X))),
% left_inverse(X)) -> identity
% Current number of equations to process: 4174
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [395]
% multiply(multiply(left_inverse(X),multiply(X,Y)),multiply(multiply(left_inverse(Y),X),
% left_inverse(X))) ->
% identity
% Current number of equations to process: 4172
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [396]
% multiply(multiply(multiply(X,Y),left_inverse(Y)),multiply(left_inverse(Y),
% multiply(Y,left_inverse(X))))
% -> identity
% Current number of equations to process: 4172
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [397]
% multiply(X,multiply(multiply(left_inverse(X),left_inverse(X)),multiply(X,
% multiply(X,X))))
% -> multiply(X,X)
% Current number of equations to process: 4249
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [398]
% multiply(left_inverse(multiply(multiply(left_inverse(X),left_inverse(X)),
% multiply(X,multiply(X,X)))),X) -> identity
% Current number of equations to process: 4382
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [399]
% multiply(X,left_inverse(multiply(multiply(left_inverse(X),left_inverse(X)),
% multiply(X,multiply(X,X))))) -> identity
% Current number of equations to process: 4381
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [400]
% multiply(multiply(multiply(left_inverse(X),Y),left_inverse(Y)),multiply(
% multiply(X,Y),
% left_inverse(Y)))
% -> identity
% Current number of equations to process: 4380
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [401]
% multiply(left_inverse(X),multiply(multiply(multiply(X,Y),multiply(left_inverse(Y),X)),
% left_inverse(X))) -> identity
% Current number of equations to process: 4840
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [402]
% multiply(multiply(multiply(X,Y),left_inverse(Y)),multiply(multiply(left_inverse(X),Y),
% left_inverse(Y))) ->
% identity
% Current number of equations to process: 4839
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [403] multiply(multiply(X,Y),multiply(left_inverse(Y),X)) -> multiply(X,X)
% Rule
% [401]
% multiply(left_inverse(X),multiply(multiply(multiply(X,Y),multiply(left_inverse(Y),X)),
% left_inverse(X))) -> identity collapsed.
% Current number of equations to process: 4839
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [404]
% multiply(multiply(multiply(left_inverse(X),left_inverse(X)),multiply(X,
% multiply(X,X))),X)
% -> multiply(X,X)
% Current number of equations to process: 2416
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [405]
% multiply(multiply(X,Y),left_inverse(left_inverse(multiply(left_inverse(Y),X))))
% -> multiply(X,X)
% Current number of equations to process: 3016
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [406]
% multiply(multiply(X,Y),multiply(left_inverse(multiply(multiply(Y,X),left_inverse(X))),X))
% -> multiply(X,X)
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [407]
% multiply(multiply(X,Y),multiply(left_inverse(multiply(left_inverse(Y),
% multiply(X,Y))),Y)) ->
% multiply(Y,Y)
% Current number of equations to process: 3204
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [408]
% multiply(multiply(X,Y),multiply(left_inverse(multiply(X,multiply(left_inverse(X),Y))),X))
% -> multiply(X,X)
% Current number of equations to process: 3203
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [409]
% multiply(multiply(X,Y),multiply(left_inverse(multiply(left_inverse(X),
% multiply(X,Y))),X)) ->
% multiply(X,X)
% Current number of equations to process: 3202
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [410]
% left_inverse(left_inverse(multiply(X,multiply(X,multiply(X,X))))) ->
% multiply(X,multiply(X,multiply(X,X)))
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [411]
% multiply(multiply(X,Y),multiply(left_inverse(multiply(X,Y)),multiply(X,X)))
% -> multiply(X,X)
% Current number of equations to process: 3468
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [412]
% multiply(left_inverse(left_inverse(multiply(X,Y))),left_inverse(left_inverse(
% multiply(
% left_inverse(Y),X))))
% -> multiply(X,X)
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [413]
% multiply(X,multiply(multiply(Y,left_inverse(multiply(multiply(Y,X),left_inverse(X)))),X))
% -> multiply(X,X)
% Current number of equations to process: 3675
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [414]
% multiply(X,multiply(multiply(Y,left_inverse(multiply(X,multiply(left_inverse(X),Y)))),X))
% -> multiply(X,X)
% Current number of equations to process: 4090
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [415]
% multiply(X,multiply(multiply(Y,left_inverse(multiply(left_inverse(X),
% multiply(X,Y)))),X)) ->
% multiply(X,X)
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [416]
% multiply(left_inverse(X),multiply(multiply(Y,left_inverse(multiply(multiply(Y,X),
% left_inverse(X)))),X))
% -> identity
% Current number of equations to process: 4876
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [417]
% multiply(multiply(multiply(X,left_inverse(multiply(multiply(X,Y),left_inverse(Y)))),Y),Y)
% -> multiply(Y,Y)
% Current number of equations to process: 4875
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [418]
% multiply(left_inverse(X),multiply(multiply(Y,left_inverse(multiply(X,
% multiply(left_inverse(X),Y)))),X))
% -> identity
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [419]
% multiply(multiply(multiply(X,left_inverse(multiply(Y,multiply(left_inverse(Y),X)))),Y),Y)
% -> multiply(Y,Y)
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [420]
% multiply(left_inverse(X),multiply(multiply(Y,left_inverse(multiply(left_inverse(X),
% multiply(X,Y)))),X))
% -> identity
% Current number of equations to process: 753
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [421]
% multiply(multiply(multiply(X,left_inverse(multiply(left_inverse(Y),multiply(Y,X)))),Y),Y)
% -> multiply(Y,Y)
% Current number of equations to process: 752
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [422]
% multiply(multiply(Y,left_inverse(multiply(multiply(Y,X),left_inverse(X)))),X)
% -> X
% Rule
% [413]
% multiply(X,multiply(multiply(Y,left_inverse(multiply(multiply(Y,X),left_inverse(X)))),X))
% -> multiply(X,X) collapsed.
% Rule
% [416]
% multiply(left_inverse(X),multiply(multiply(Y,left_inverse(multiply(multiply(Y,X),
% left_inverse(X)))),X))
% -> identity collapsed.
% Rule
% [417]
% multiply(multiply(multiply(X,left_inverse(multiply(multiply(X,Y),left_inverse(Y)))),Y),Y)
% -> multiply(Y,Y) collapsed.
% Current number of equations to process: 808
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [423]
% multiply(multiply(Y,left_inverse(multiply(X,multiply(left_inverse(X),Y)))),X)
% -> X
% Rule
% [414]
% multiply(X,multiply(multiply(Y,left_inverse(multiply(X,multiply(left_inverse(X),Y)))),X))
% -> multiply(X,X) collapsed.
% Rule
% [418]
% multiply(left_inverse(X),multiply(multiply(Y,left_inverse(multiply(X,
% multiply(left_inverse(X),Y)))),X))
% -> identity collapsed.
% Rule
% [419]
% multiply(multiply(multiply(X,left_inverse(multiply(Y,multiply(left_inverse(Y),X)))),Y),Y)
% -> multiply(Y,Y) collapsed.
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [424]
% multiply(multiply(Y,left_inverse(multiply(left_inverse(X),multiply(X,Y)))),X)
% -> X
% Rule
% [415]
% multiply(X,multiply(multiply(Y,left_inverse(multiply(left_inverse(X),
% multiply(X,Y)))),X)) ->
% multiply(X,X) collapsed.
% Rule
% [420]
% multiply(left_inverse(X),multiply(multiply(Y,left_inverse(multiply(left_inverse(X),
% multiply(X,Y)))),X))
% -> identity collapsed.
% Rule
% [421]
% multiply(multiply(multiply(X,left_inverse(multiply(left_inverse(Y),multiply(Y,X)))),Y),Y)
% -> multiply(Y,Y) collapsed.
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [425]
% multiply(multiply(multiply(left_inverse(left_inverse(X)),Y),left_inverse(
% multiply(X,Y))),X)
% -> X
% Current number of equations to process: 1096
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [426]
% multiply(multiply(multiply(X,left_inverse(left_inverse(Y))),left_inverse(
% multiply(X,Y))),Y)
% -> Y
% Current number of equations to process: 1095
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [427]
% multiply(multiply(X,left_inverse(multiply(left_inverse(Y),multiply(Y,X)))),
% left_inverse(Y)) -> left_inverse(Y)
% Current number of equations to process: 1133
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [428]
% multiply(multiply(X,left_inverse(multiply(multiply(X,Y),left_inverse(Y)))),
% left_inverse(Y)) -> left_inverse(Y)
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [429]
% multiply(multiply(multiply(X,Y),left_inverse(multiply(X,left_inverse(
% left_inverse(Y))))),
% left_inverse(Y)) -> left_inverse(Y)
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [430]
% multiply(multiply(multiply(X,Y),left_inverse(multiply(left_inverse(left_inverse(X)),Y))),
% left_inverse(X)) -> left_inverse(X)
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [431]
% multiply(left_inverse(X),multiply(X,multiply(Y,left_inverse(multiply(
% multiply(Y,X),
% left_inverse(X))))))
% -> identity
% Current number of equations to process: 2463
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [432]
% multiply(X,multiply(Y,left_inverse(multiply(multiply(Y,X),left_inverse(X)))))
% -> X
% Rule
% [431]
% multiply(left_inverse(X),multiply(X,multiply(Y,left_inverse(multiply(
% multiply(Y,X),
% left_inverse(X))))))
% -> identity collapsed.
% Current number of equations to process: 2505
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [433]
% multiply(X,multiply(Y,left_inverse(multiply(left_inverse(X),multiply(X,Y)))))
% -> X
% Current number of equations to process: 2572
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [434]
% multiply(left_inverse(X),multiply(Y,left_inverse(multiply(multiply(Y,X),
% left_inverse(X))))) ->
% left_inverse(X)
% Current number of equations to process: 2690
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [435]
% multiply(left_inverse(X),multiply(Y,left_inverse(multiply(left_inverse(X),
% multiply(X,Y))))) ->
% left_inverse(X)
% Current number of equations to process: 2875
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [436]
% multiply(X,multiply(Y,left_inverse(multiply(multiply(Y,left_inverse(X)),
% left_inverse(left_inverse(X)))))) -> X
% Current number of equations to process: 2910
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [437]
% multiply(multiply(X,left_inverse(multiply(multiply(X,left_inverse(Y)),
% left_inverse(left_inverse(Y))))),Y) -> Y
% Current number of equations to process: 2909
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [438]
% multiply(X,multiply(Y,left_inverse(multiply(left_inverse(left_inverse(X)),
% multiply(left_inverse(X),Y))))) -> X
% Current number of equations to process: 2908
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [439]
% multiply(multiply(X,left_inverse(multiply(left_inverse(left_inverse(Y)),
% multiply(left_inverse(Y),X)))),Y) -> Y
% Current number of equations to process: 2907
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [440]
% multiply(X,multiply(multiply(X,Y),left_inverse(multiply(left_inverse(
% left_inverse(X)),Y))))
% -> X
% Current number of equations to process: 3293
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [441]
% multiply(X,multiply(multiply(Y,X),left_inverse(multiply(Y,left_inverse(
% left_inverse(X))))))
% -> X
% Current number of equations to process: 3318
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [442]
% multiply(left_inverse(X),multiply(multiply(X,Y),left_inverse(multiply(
% left_inverse(
% left_inverse(X)),Y))))
% -> left_inverse(X)
% Current number of equations to process: 3359
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [443]
% multiply(left_inverse(X),multiply(multiply(Y,X),left_inverse(multiply(Y,
% left_inverse(
% left_inverse(X))))))
% -> left_inverse(X)
% Current number of equations to process: 3358
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [444]
% multiply(multiply(multiply(X,Y),left_inverse(multiply(left_inverse(left_inverse(X)),Y))),X)
% -> X
% Current number of equations to process: 3373
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [445]
% multiply(multiply(multiply(X,Y),left_inverse(multiply(X,left_inverse(
% left_inverse(Y))))),Y)
% -> Y
% Current number of equations to process: 3396
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [446]
% multiply(left_inverse(X),multiply(X,multiply(Y,left_inverse(multiply(X,
% multiply(
% left_inverse(X),Y))))))
% -> identity
% Current number of equations to process: 1687
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [447]
% multiply(multiply(Y,left_inverse(multiply(X,multiply(left_inverse(X),Y)))),
% left_inverse(X)) -> left_inverse(X)
% Current number of equations to process: 1717
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [448]
% multiply(X,multiply(Y,left_inverse(multiply(X,multiply(left_inverse(X),Y)))))
% -> X
% Rule
% [446]
% multiply(left_inverse(X),multiply(X,multiply(Y,left_inverse(multiply(X,
% multiply(
% left_inverse(X),Y))))))
% -> identity collapsed.
% Current number of equations to process: 1722
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [449]
% multiply(X,multiply(multiply(left_inverse(left_inverse(X)),Y),left_inverse(
% multiply(X,Y))))
% -> X
% Current number of equations to process: 1888
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [450]
% multiply(X,multiply(multiply(Y,left_inverse(left_inverse(X))),left_inverse(
% multiply(Y,X))))
% -> X
% Current number of equations to process: 1887
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [451]
% multiply(left_inverse(X),multiply(Y,left_inverse(multiply(X,multiply(
% left_inverse(X),Y)))))
% -> left_inverse(X)
% Current number of equations to process: 1938
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [452]
% multiply(multiply(multiply(left_inverse(left_inverse(X)),Y),left_inverse(
% multiply(X,Y))),
% left_inverse(X)) -> left_inverse(X)
% Current number of equations to process: 2648
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [453]
% multiply(multiply(multiply(X,left_inverse(left_inverse(Y))),left_inverse(
% multiply(X,Y))),
% left_inverse(Y)) -> left_inverse(Y)
% Current number of equations to process: 2651
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [454]
% multiply(left_inverse(X),multiply(multiply(left_inverse(left_inverse(X)),Y),
% left_inverse(multiply(X,Y)))) -> left_inverse(X)
% Current number of equations to process: 2650
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [455]
% multiply(left_inverse(X),multiply(multiply(Y,left_inverse(left_inverse(X))),
% left_inverse(multiply(Y,X)))) -> left_inverse(X)
% Current number of equations to process: 2645
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [456]
% multiply(multiply(multiply(left_inverse(left_inverse(left_inverse(left_inverse(X)))),Y),
% left_inverse(multiply(X,Y))),X) -> X
% Current number of equations to process: 3535
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [457]
% multiply(multiply(multiply(X,left_inverse(left_inverse(left_inverse(left_inverse(Y))))),
% left_inverse(multiply(X,Y))),Y) -> Y
% Current number of equations to process: 3693
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [458]
% multiply(multiply(multiply(left_inverse(left_inverse(left_inverse(X))),Y),
% left_inverse(multiply(left_inverse(X),Y))),X) -> X
% Current number of equations to process: 3692
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [459]
% multiply(multiply(multiply(X,left_inverse(left_inverse(left_inverse(Y)))),
% left_inverse(multiply(X,left_inverse(Y)))),Y) -> Y
% Current number of equations to process: 3690
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [460]
% multiply(left_inverse(left_inverse(X)),multiply(Y,left_inverse(multiply(
% left_inverse(X),
% multiply(X,Y)))))
% -> left_inverse(left_inverse(X))
% Current number of equations to process: 3688
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [461]
% multiply(left_inverse(left_inverse(X)),multiply(Y,left_inverse(multiply(
% multiply(Y,X),
% left_inverse(X)))))
% -> left_inverse(left_inverse(X))
% Current number of equations to process: 3686
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [462]
% multiply(X,multiply(multiply(left_inverse(left_inverse(left_inverse(X))),Y),
% left_inverse(multiply(left_inverse(X),Y)))) -> X
% Current number of equations to process: 3683
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [463]
% multiply(X,multiply(multiply(Y,left_inverse(left_inverse(left_inverse(X)))),
% left_inverse(multiply(Y,left_inverse(X))))) -> X
% Current number of equations to process: 3682
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [464]
% multiply(X,multiply(multiply(left_inverse(X),Y),left_inverse(multiply(
% left_inverse(
% left_inverse(
% left_inverse(X))),Y))))
% -> X
% Current number of equations to process: 3677
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [465]
% multiply(multiply(multiply(left_inverse(X),Y),left_inverse(multiply(left_inverse(
% left_inverse(
% left_inverse(X))),Y))),X)
% -> X
% Current number of equations to process: 3676
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [466]
% multiply(X,multiply(multiply(Y,left_inverse(X)),left_inverse(multiply(Y,
% left_inverse(
% left_inverse(
% left_inverse(X)))))))
% -> X
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [467]
% multiply(multiply(multiply(X,left_inverse(Y)),left_inverse(multiply(X,
% left_inverse(
% left_inverse(
% left_inverse(Y)))))),Y)
% -> Y
% Current number of equations to process: 3671
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [468]
% multiply(left_inverse(left_inverse(X)),multiply(Y,left_inverse(multiply(X,
% multiply(
% left_inverse(X),Y)))))
% -> left_inverse(left_inverse(X))
% Current number of equations to process: 3661
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [469]
% multiply(X,multiply(multiply(left_inverse(left_inverse(left_inverse(left_inverse(X)))),Y),
% left_inverse(multiply(X,Y)))) -> X
% Current number of equations to process: 3660
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [470]
% multiply(X,multiply(multiply(Y,left_inverse(left_inverse(left_inverse(
% left_inverse(X))))),
% left_inverse(multiply(Y,X)))) -> X
% Current number of equations to process: 3659
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [471]
% multiply(multiply(Y,X),multiply(left_inverse(X),multiply(Y,X))) <->
% multiply(multiply(left_inverse(X),multiply(X,Y)),multiply(Y,X))
% Current number of equations to process: 3874
% Current number of ordered equations: 1
% Current number of rules: 332
% New rule produced :
% [472]
% multiply(multiply(left_inverse(X),multiply(X,Y)),multiply(Y,X)) <->
% multiply(multiply(Y,X),multiply(left_inverse(X),multiply(Y,X)))
% Current number of equations to process: 3874
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [473]
% multiply(multiply(left_inverse(X),left_inverse(X)),multiply(X,multiply(X,X)))
% ->
% multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),left_inverse(X)))
% Rule
% [389]
% multiply(left_inverse(X),multiply(multiply(left_inverse(X),left_inverse(X)),
% multiply(X,multiply(X,X)))) -> identity collapsed.
% Rule
% [394]
% multiply(multiply(multiply(left_inverse(X),left_inverse(X)),multiply(X,
% multiply(X,X))),
% left_inverse(X)) -> identity collapsed.
% Rule
% [397]
% multiply(X,multiply(multiply(left_inverse(X),left_inverse(X)),multiply(X,
% multiply(X,X))))
% -> multiply(X,X) collapsed.
% Rule
% [398]
% multiply(left_inverse(multiply(multiply(left_inverse(X),left_inverse(X)),
% multiply(X,multiply(X,X)))),X) -> identity collapsed.
% Rule
% [399]
% multiply(X,left_inverse(multiply(multiply(left_inverse(X),left_inverse(X)),
% multiply(X,multiply(X,X))))) -> identity collapsed.
% Rule
% [404]
% multiply(multiply(multiply(left_inverse(X),left_inverse(X)),multiply(X,
% multiply(X,X))),X)
% -> multiply(X,X) collapsed.
% Current number of equations to process: 4333
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [474]
% multiply(left_inverse(X),multiply(multiply(X,multiply(X,X)),multiply(
% left_inverse(X),
% left_inverse(X))))
% -> identity
% Current number of equations to process: 4332
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [475]
% multiply(multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),
% left_inverse(X))),left_inverse(X))
% -> identity
% Current number of equations to process: 4331
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [476]
% multiply(X,multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),
% left_inverse(X)))) ->
% multiply(X,X)
% Current number of equations to process: 4330
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [477]
% multiply(left_inverse(multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),
% left_inverse(X)))),X)
% -> identity
% Current number of equations to process: 4329
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [478]
% multiply(X,left_inverse(multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),
% left_inverse(X)))))
% -> identity
% Current number of equations to process: 4328
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [479]
% multiply(multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),
% left_inverse(X))),X) ->
% multiply(X,X)
% Current number of equations to process: 4327
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [480]
% multiply(multiply(X,X),multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X)))) ->
% left_inverse(X)
% Rule
% [388]
% multiply(multiply(multiply(X,X),multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X)))),X)
% -> identity collapsed.
% Rule
% [393]
% multiply(X,multiply(multiply(X,X),multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X)))))
% -> identity collapsed.
% Current number of equations to process: 4443
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [481]
% multiply(left_inverse(X),left_inverse(multiply(left_inverse(X),multiply(
% left_inverse(X),
% left_inverse(X)))))
% -> multiply(X,X)
% Current number of equations to process: 4657
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [482]
% multiply(multiply(left_inverse(X),left_inverse(X)),multiply(multiply(X,X),
% left_inverse(left_inverse(X))))
% -> left_inverse(left_inverse(X))
% Current number of equations to process: 4796
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [483]
% multiply(left_inverse(left_inverse(X)),left_inverse(multiply(multiply(X,X),
% left_inverse(left_inverse(X)))))
% -> multiply(left_inverse(X),left_inverse(X))
% Current number of equations to process: 4830
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [484]
% multiply(X,left_inverse(multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X))))) ->
% multiply(X,multiply(X,multiply(X,X)))
% Current number of equations to process: 4829
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [485]
% multiply(multiply(left_inverse(X),multiply(left_inverse(X),left_inverse(X))),
% multiply(X,X)) -> left_inverse(X)
% Current number of equations to process: 4828
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [486]
% multiply(left_inverse(multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X)))),left_inverse(X))
% -> multiply(X,X)
% Current number of equations to process: 2079
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [487]
% multiply(multiply(multiply(X,X),left_inverse(left_inverse(X))),multiply(
% left_inverse(X),
% left_inverse(X)))
% -> left_inverse(left_inverse(X))
% Current number of equations to process: 2152
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [488]
% multiply(left_inverse(multiply(X,Y)),multiply(X,multiply(Y,X))) ->
% multiply(multiply(X,multiply(X,Y)),left_inverse(multiply(X,Y)))
% Current number of equations to process: 2191
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [489]
% multiply(multiply(X,Y),multiply(left_inverse(Y),multiply(Y,X))) <->
% multiply(multiply(left_inverse(Y),multiply(Y,X)),multiply(Y,X))
% Current number of equations to process: 2491
% Current number of ordered equations: 1
% Current number of rules: 342
% New rule produced :
% [490]
% multiply(multiply(left_inverse(Y),multiply(Y,X)),multiply(Y,X)) <->
% multiply(multiply(X,Y),multiply(left_inverse(Y),multiply(Y,X)))
% Current number of equations to process: 2491
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [491]
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(X,Y)))) <->
% multiply(multiply(X,multiply(X,multiply(Y,X))),left_inverse(X))
% Current number of equations to process: 2927
% Current number of ordered equations: 1
% Current number of rules: 344
% New rule produced :
% [492]
% multiply(multiply(X,multiply(X,multiply(Y,X))),left_inverse(X)) <->
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(X,Y))))
% Current number of equations to process: 2927
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [493]
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(X,multiply(X,Y)))
% <->
% multiply(multiply(X,multiply(Y,X)),left_inverse(left_inverse(left_inverse(X))))
% Current number of equations to process: 3499
% Current number of ordered equations: 1
% Current number of rules: 346
% New rule produced :
% [494]
% multiply(multiply(X,multiply(Y,X)),left_inverse(left_inverse(left_inverse(X))))
% <->
% multiply(left_inverse(left_inverse(left_inverse(X))),multiply(X,multiply(X,Y)))
% Current number of equations to process: 3499
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [495]
% multiply(left_inverse(left_inverse(X)),multiply(multiply(X,Y),left_inverse(X)))
% ->
% multiply(left_inverse(left_inverse(X)),multiply(X,multiply(Y,left_inverse(X))))
% Current number of equations to process: 4132
% Current number of ordered equations: 0
% Current number of rules: 348
% Rule [165]
% multiply(left_inverse(left_inverse(X)),Y) <->
% multiply(multiply(multiply(X,Y),left_inverse(X)),left_inverse(left_inverse(X))) is composed into 
% [165]
% multiply(left_inverse(left_inverse(X)),Y) <->
% multiply(multiply(X,multiply(Y,left_inverse(X))),left_inverse(left_inverse(X)))
% New rule produced :
% [496]
% multiply(multiply(multiply(X,Y),left_inverse(X)),left_inverse(left_inverse(X)))
% ->
% multiply(multiply(X,multiply(Y,left_inverse(X))),left_inverse(left_inverse(X)))
% Rule
% [166]
% multiply(multiply(multiply(X,Y),left_inverse(X)),left_inverse(left_inverse(X)))
% <-> multiply(left_inverse(left_inverse(X)),Y) collapsed.
% Current number of equations to process: 4388
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [497]
% multiply(multiply(Y,X),left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X))))))
% <->
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(X))))),
% multiply(X,Y))
% Current number of equations to process: 4617
% Current number of ordered equations: 1
% Current number of rules: 349
% New rule produced :
% [498]
% multiply(left_inverse(left_inverse(left_inverse(left_inverse(left_inverse(X))))),
% multiply(X,Y)) <->
% multiply(multiply(Y,X),left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(X))))))
% Current number of equations to process: 4617
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [499]
% multiply(left_inverse(multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X)))),X) ->
% multiply(X,multiply(X,multiply(X,X)))
% Current number of equations to process: 3070
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [500]
% multiply(multiply(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X))))))),Y),X)
% ->
% multiply(X,multiply(left_inverse(X),multiply(left_inverse(X),multiply(Y,X))))
% Current number of equations to process: 3106
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [501]
% multiply(X,multiply(left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X))))))),Y))
% -> multiply(X,multiply(left_inverse(X),Y))
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [502]
% multiply(multiply(Y,left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X)))))))),X)
% -> multiply(X,multiply(left_inverse(X),Y))
% Current number of equations to process: 3413
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [503]
% multiply(X,multiply(Y,left_inverse(left_inverse(left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X)))))))))
% -> multiply(X,multiply(Y,left_inverse(X)))
% Current number of equations to process: 3475
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [504]
% multiply(multiply(multiply(X,Y),left_inverse(Y)),multiply(X,X)) ->
% multiply(multiply(X,X),multiply(multiply(X,Y),left_inverse(Y)))
% Current number of equations to process: 3607
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [505]
% multiply(multiply(multiply(multiply(X,X),left_inverse(X)),Y),X) ->
% multiply(X,multiply(Y,multiply(multiply(X,X),left_inverse(X))))
% Current number of equations to process: 3812
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [506]
% multiply(multiply(X,X),multiply(left_inverse(Y),multiply(Y,X))) <->
% multiply(multiply(left_inverse(Y),multiply(Y,X)),multiply(X,X))
% Current number of equations to process: 3923
% Current number of ordered equations: 1
% Current number of rules: 358
% New rule produced :
% [507]
% multiply(multiply(left_inverse(Y),multiply(Y,X)),multiply(X,X)) <->
% multiply(multiply(X,X),multiply(left_inverse(Y),multiply(Y,X)))
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [508]
% multiply(multiply(X,X),multiply(Y,multiply(left_inverse(Y),X))) <->
% multiply(multiply(Y,multiply(left_inverse(Y),X)),multiply(X,X))
% Current number of equations to process: 4187
% Current number of ordered equations: 1
% Current number of rules: 360
% New rule produced :
% [509]
% multiply(multiply(Y,multiply(left_inverse(Y),X)),multiply(X,X)) <->
% multiply(multiply(X,X),multiply(Y,multiply(left_inverse(Y),X)))
% Current number of equations to process: 4187
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [510]
% multiply(left_inverse(multiply(X,multiply(X,X))),multiply(X,X)) ->
% multiply(multiply(X,X),left_inverse(multiply(X,multiply(X,X))))
% Current number of equations to process: 4362
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [511]
% multiply(left_inverse(X),multiply(multiply(X,X),multiply(Y,Y))) ->
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(Y,Y))))
% Current number of equations to process: 4405
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [512]
% left_inverse(multiply(X,multiply(X,multiply(X,X)))) ->
% multiply(left_inverse(X),multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X))))
% Rule
% [315]
% multiply(multiply(X,X),left_inverse(multiply(X,multiply(X,multiply(X,X)))))
% -> multiply(left_inverse(X),left_inverse(X)) collapsed.
% Rule
% [354]
% multiply(left_inverse(multiply(X,multiply(X,multiply(X,X)))),multiply(X,X))
% -> multiply(left_inverse(X),left_inverse(X)) collapsed.
% Rule
% [410]
% left_inverse(left_inverse(multiply(X,multiply(X,multiply(X,X))))) ->
% multiply(X,multiply(X,multiply(X,X))) collapsed.
% Current number of equations to process: 4541
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [513]
% multiply(multiply(multiply(X,X),multiply(Y,Y)),left_inverse(X)) ->
% multiply(multiply(X,multiply(X,multiply(Y,Y))),left_inverse(X))
% Current number of equations to process: 4791
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [514]
% multiply(left_inverse(X),multiply(left_inverse(multiply(left_inverse(
% left_inverse(
% left_inverse(X))),
% multiply(X,Y))),Y)) ->
% left_inverse(X)
% Current number of equations to process: 4872
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [515]
% multiply(X,multiply(left_inverse(multiply(left_inverse(left_inverse(left_inverse(X))),
% multiply(X,Y))),Y)) -> X
% Current number of equations to process: 4956
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [516]
% multiply(multiply(left_inverse(multiply(left_inverse(left_inverse(left_inverse(X))),
% multiply(X,Y))),Y),X) -> X
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [517]
% multiply(X,multiply(left_inverse(multiply(multiply(Y,X),left_inverse(
% left_inverse(
% left_inverse(X))))),Y))
% -> X
% Current number of equations to process: 2055
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [518]
% multiply(multiply(left_inverse(multiply(multiply(X,Y),left_inverse(left_inverse(
% left_inverse(Y))))),X),Y)
% -> Y
% Current number of equations to process: 2258
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [519]
% multiply(left_inverse(X),multiply(left_inverse(multiply(multiply(Y,X),
% left_inverse(left_inverse(
% left_inverse(X))))),Y))
% -> left_inverse(X)
% Current number of equations to process: 2906
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [520]
% multiply(multiply(left_inverse(multiply(left_inverse(left_inverse(left_inverse(X))),
% multiply(X,Y))),Y),left_inverse(X)) ->
% left_inverse(X)
% Current number of equations to process: 3237
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [521]
% multiply(multiply(left_inverse(multiply(multiply(X,Y),left_inverse(left_inverse(
% left_inverse(Y))))),X),
% left_inverse(Y)) -> left_inverse(Y)
% Current number of equations to process: 3380
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [522]
% multiply(left_inverse(X),multiply(Y,left_inverse(multiply(multiply(Y,X),
% left_inverse(left_inverse(
% left_inverse(X)))))))
% -> left_inverse(X)
% Current number of equations to process: 3628
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [523]
% multiply(X,multiply(Y,left_inverse(multiply(multiply(Y,X),left_inverse(
% left_inverse(
% left_inverse(X)))))))
% -> X
% Current number of equations to process: 3720
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [524]
% multiply(multiply(X,left_inverse(multiply(multiply(X,Y),left_inverse(
% left_inverse(
% left_inverse(Y)))))),Y)
% -> Y
% Current number of equations to process: 3863
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [525]
% multiply(X,multiply(Y,left_inverse(multiply(left_inverse(left_inverse(
% left_inverse(X))),
% multiply(X,Y))))) -> X
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [526]
% multiply(multiply(X,left_inverse(multiply(left_inverse(left_inverse(left_inverse(Y))),
% multiply(Y,X)))),Y) -> Y
% Current number of equations to process: 4474
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [527]
% multiply(multiply(X,left_inverse(multiply(multiply(X,Y),left_inverse(
% left_inverse(
% left_inverse(Y)))))),
% left_inverse(Y)) -> left_inverse(Y)
% Current number of equations to process: 1663
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [528]
% multiply(left_inverse(X),multiply(Y,left_inverse(multiply(left_inverse(
% left_inverse(
% left_inverse(X))),
% multiply(X,Y))))) ->
% left_inverse(X)
% Current number of equations to process: 1941
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [529]
% multiply(multiply(X,left_inverse(multiply(left_inverse(left_inverse(left_inverse(Y))),
% multiply(Y,X)))),left_inverse(Y)) ->
% left_inverse(Y)
% Current number of equations to process: 2200
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [530]
% multiply(multiply(X,Y),multiply(multiply(X,Y),left_inverse(Y))) <->
% multiply(multiply(left_inverse(Y),multiply(Y,X)),multiply(Y,X))
% Current number of equations to process: 2351
% Current number of ordered equations: 1
% Current number of rules: 379
% New rule produced :
% [531]
% multiply(multiply(left_inverse(Y),multiply(Y,X)),multiply(Y,X)) <->
% multiply(multiply(X,Y),multiply(multiply(X,Y),left_inverse(Y)))
% Current number of equations to process: 2351
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [532]
% multiply(multiply(multiply(X,Y),left_inverse(Y)),multiply(Y,X)) ->
% multiply(multiply(X,Y),multiply(left_inverse(Y),multiply(Y,X)))
% Current number of equations to process: 2918
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [533]
% multiply(multiply(Y,Y),multiply(multiply(Y,X),left_inverse(X))) <->
% multiply(multiply(left_inverse(X),multiply(X,Y)),multiply(Y,Y))
% Current number of equations to process: 3195
% Current number of ordered equations: 1
% Current number of rules: 382
% New rule produced :
% [534]
% multiply(multiply(left_inverse(X),multiply(X,Y)),multiply(Y,Y)) <->
% multiply(multiply(Y,Y),multiply(multiply(Y,X),left_inverse(X)))
% Current number of equations to process: 3195
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [535]
% multiply(multiply(X,Y),multiply(left_inverse(left_inverse(Y)),X)) ->
% multiply(X,multiply(multiply(Y,Y),X))
% Current number of equations to process: 3517
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [536]
% multiply(Y,multiply(multiply(multiply(Y,multiply(left_inverse(Y),multiply(
% left_inverse(Y),
% multiply(X,Y)))),Z),Y))
% -> multiply(multiply(X,Y),multiply(Z,Y))
% Current number of equations to process: 3842
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [537]
% multiply(X,multiply(multiply(multiply(X,multiply(left_inverse(X),left_inverse(X))),Y),X))
% -> multiply(Y,X)
% Current number of equations to process: 3856
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [538]
% multiply(multiply(multiply(X,Y),Y),Y) ->
% multiply(multiply(X,Y),multiply(Y,Y))
% Rule
% [297]
% multiply(left_inverse(multiply(X,Y)),multiply(multiply(multiply(X,Y),Y),Y))
% -> multiply(Y,Y) collapsed.
% Current number of equations to process: 3915
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [539]
% multiply(multiply(X,Y),Y) <->
% multiply(multiply(Y,multiply(left_inverse(Y),X)),multiply(Y,Y))
% Rule
% [392]
% multiply(multiply(multiply(multiply(left_inverse(X),left_inverse(multiply(Y,X))),Y),X),X)
% -> identity collapsed.
% Current number of equations to process: 4692
% Current number of ordered equations: 1
% Current number of rules: 386
% New rule produced :
% [540]
% multiply(multiply(Y,multiply(left_inverse(Y),X)),multiply(Y,Y)) <->
% multiply(multiply(X,Y),Y)
% Rule
% [322]
% multiply(multiply(X,multiply(left_inverse(X),left_inverse(X))),multiply(X,X))
% -> X collapsed.
% Current number of equations to process: 4692
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [541]
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),Y) ->
% multiply(multiply(multiply(X,Y),Y),multiply(Y,Y))
% Current number of equations to process: 1809
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [542]
% multiply(multiply(X,left_inverse(left_inverse(Y))),multiply(Y,Y)) <->
% multiply(multiply(multiply(X,Y),Y),left_inverse(left_inverse(Y)))
% Rule
% [269]
% multiply(multiply(multiply(left_inverse(X),left_inverse(X)),left_inverse(
% left_inverse(X))),
% multiply(X,X)) -> left_inverse(left_inverse(X)) collapsed.
% Current number of equations to process: 1808
% Current number of ordered equations: 1
% Current number of rules: 387
% New rule produced :
% [543]
% multiply(multiply(multiply(X,Y),Y),left_inverse(left_inverse(Y))) <->
% multiply(multiply(X,left_inverse(left_inverse(Y))),multiply(Y,Y))
% Current number of equations to process: 1808
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [544]
% multiply(multiply(X,multiply(Y,X)),multiply(X,X)) ->
% multiply(X,multiply(multiply(Y,X),multiply(X,X)))
% Rule
% [281]
% multiply(multiply(X,multiply(X,X)),multiply(X,X)) ->
% multiply(X,multiply(X,multiply(X,multiply(X,X)))) collapsed.
% Current number of equations to process: 1807
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [545]
% multiply(X,multiply(multiply(Y,multiply(X,Y)),X)) <->
% multiply(multiply(X,multiply(Y,X)),multiply(Y,X))
% Current number of equations to process: 1803
% Current number of ordered equations: 1
% Current number of rules: 389
% New rule produced :
% [546]
% multiply(multiply(X,multiply(Y,X)),multiply(Y,X)) <->
% multiply(X,multiply(multiply(Y,multiply(X,Y)),X))
% Current number of equations to process: 1803
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [547]
% multiply(left_inverse(left_inverse(X)),multiply(multiply(Y,X),X)) <->
% multiply(multiply(left_inverse(left_inverse(X)),Y),multiply(X,X))
% Current number of equations to process: 1802
% Current number of ordered equations: 1
% Current number of rules: 391
% New rule produced :
% [548]
% multiply(multiply(left_inverse(left_inverse(X)),Y),multiply(X,X)) <->
% multiply(left_inverse(left_inverse(X)),multiply(multiply(Y,X),X))
% Current number of equations to process: 1802
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [549]
% multiply(multiply(X,multiply(Y,left_inverse(X))),multiply(X,X)) ->
% multiply(X,multiply(Y,X))
% Current number of equations to process: 1950
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [550]
% multiply(multiply(multiply(X,Y),multiply(Y,X)),X) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(X,X))
% Current number of equations to process: 1994
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [551]
% multiply(X,multiply(multiply(Y,X),multiply(X,X))) <->
% multiply(multiply(X,Y),multiply(X,multiply(X,X)))
% Current number of equations to process: 2005
% Current number of ordered equations: 1
% Current number of rules: 395
% New rule produced :
% [552]
% multiply(multiply(X,Y),multiply(X,multiply(X,X))) <->
% multiply(X,multiply(multiply(Y,X),multiply(X,X)))
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [553]
% multiply(multiply(left_inverse(left_inverse(X)),Y),multiply(X,X)) <->
% multiply(multiply(X,multiply(Y,X)),left_inverse(left_inverse(X)))
% Current number of equations to process: 2372
% Current number of ordered equations: 1
% Current number of rules: 397
% New rule produced :
% [554]
% multiply(multiply(X,multiply(Y,X)),left_inverse(left_inverse(X))) <->
% multiply(multiply(left_inverse(left_inverse(X)),Y),multiply(X,X))
% Current number of equations to process: 2372
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [555]
% multiply(multiply(multiply(X,X),Y),left_inverse(left_inverse(Y))) ->
% multiply(multiply(X,X),multiply(Y,Y))
% Current number of equations to process: 2387
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [556]
% multiply(X,multiply(X,multiply(multiply(Y,X),X))) <->
% multiply(multiply(X,multiply(X,Y)),multiply(X,X))
% Current number of equations to process: 4266
% Current number of ordered equations: 1
% Current number of rules: 400
% New rule produced :
% [557]
% multiply(multiply(X,multiply(X,Y)),multiply(X,X)) <->
% multiply(X,multiply(X,multiply(multiply(Y,X),X)))
% Current number of equations to process: 4266
% Current number of ordered equations: 0
% Current number of rules: 401
% Rule [377]
% multiply(multiply(X,Y),multiply(X,multiply(X,X))) <->
% multiply(X,multiply(multiply(Y,multiply(X,X)),X)) is composed into 
% [377]
% multiply(multiply(X,Y),multiply(X,multiply(X,X))) <->
% multiply(X,multiply(multiply(Y,X),multiply(X,X)))
% New rule produced :
% [558]
% multiply(X,multiply(multiply(Y,multiply(X,X)),X)) ->
% multiply(X,multiply(multiply(Y,X),multiply(X,X)))
% Rule
% [376]
% multiply(X,multiply(multiply(Y,multiply(X,X)),X)) <->
% multiply(multiply(X,Y),multiply(X,multiply(X,X))) collapsed.
% Current number of equations to process: 3075
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [559]
% multiply(X,multiply(multiply(multiply(Y,Y),X),X)) ->
% multiply(X,multiply(multiply(Y,Y),multiply(X,X)))
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [560]
% multiply(multiply(multiply(X,X),multiply(Y,Y)),Y) ->
% multiply(multiply(multiply(X,X),Y),multiply(Y,Y))
% Current number of equations to process: 3785
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [561]
% multiply(multiply(multiply(X,X),left_inverse(Y)),left_inverse(Y)) ->
% multiply(multiply(X,X),multiply(left_inverse(Y),left_inverse(Y)))
% Current number of equations to process: 4223
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [562]
% multiply(multiply(Y,multiply(left_inverse(Y),multiply(X,left_inverse(Y)))),
% multiply(Y,Y)) -> multiply(X,Y)
% Rule
% [361]
% multiply(multiply(X,multiply(left_inverse(X),multiply(left_inverse(X),
% left_inverse(X)))),multiply(X,X))
% -> identity collapsed.
% Current number of equations to process: 1718
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [563]
% multiply(multiply(multiply(X,X),Y),left_inverse(left_inverse(left_inverse(
% left_inverse(Y)))))
% -> multiply(multiply(X,X),multiply(Y,Y))
% Rule
% [201]
% multiply(multiply(multiply(X,X),left_inverse(X)),left_inverse(left_inverse(
% left_inverse(
% left_inverse(
% left_inverse(X))))))
% -> identity collapsed.
% Current number of equations to process: 1773
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [564]
% multiply(multiply(X,multiply(X,X)),left_inverse(left_inverse(left_inverse(
% left_inverse(X)))))
% -> multiply(X,multiply(X,multiply(X,X)))
% Current number of equations to process: 1892
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [565]
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),left_inverse(Y)) <->
% multiply(left_inverse(Y),multiply(Y,multiply(multiply(X,Y),Y)))
% Current number of equations to process: 2067
% Current number of ordered equations: 1
% Current number of rules: 406
% New rule produced :
% [566]
% multiply(left_inverse(Y),multiply(Y,multiply(multiply(X,Y),Y))) <->
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),left_inverse(Y))
% Current number of equations to process: 2067
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [567]
% multiply(multiply(X,multiply(X,multiply(X,X))),left_inverse(X)) ->
% multiply(multiply(X,X),multiply(multiply(X,X),left_inverse(X)))
% Current number of equations to process: 2405
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [568]
% multiply(left_inverse(Y),multiply(Y,multiply(multiply(X,X),Y))) <->
% multiply(multiply(multiply(X,X),multiply(Y,Y)),left_inverse(Y))
% Current number of equations to process: 2404
% Current number of ordered equations: 1
% Current number of rules: 409
% New rule produced :
% [569]
% multiply(multiply(multiply(X,X),multiply(Y,Y)),left_inverse(Y)) <->
% multiply(left_inverse(Y),multiply(Y,multiply(multiply(X,X),Y)))
% Current number of equations to process: 2404
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [570]
% multiply(left_inverse(X),multiply(multiply(multiply(Y,Y),X),X)) ->
% multiply(left_inverse(X),multiply(multiply(Y,Y),multiply(X,X)))
% Current number of equations to process: 2403
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [571]
% multiply(multiply(multiply(X,multiply(Y,Y)),Y),left_inverse(Y)) ->
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),left_inverse(Y))
% Current number of equations to process: 2401
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [572]
% multiply(left_inverse(X),multiply(multiply(Y,multiply(X,X)),X)) ->
% multiply(left_inverse(X),multiply(multiply(Y,X),multiply(X,X)))
% Current number of equations to process: 2400
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [573]
% multiply(multiply(multiply(multiply(X,X),Y),Y),left_inverse(Y)) ->
% multiply(multiply(multiply(X,X),multiply(Y,Y)),left_inverse(Y))
% Current number of equations to process: 2399
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [574]
% multiply(multiply(multiply(X,X),multiply(multiply(X,X),left_inverse(X))),
% left_inverse(X)) -> multiply(X,X)
% Current number of equations to process: 2832
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [575]
% multiply(multiply(multiply(multiply(X,X),multiply(Y,Y)),left_inverse(Y)),
% left_inverse(Y)) -> multiply(X,X)
% Current number of equations to process: 2936
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [576]
% multiply(left_inverse(X),multiply(X,multiply(Y,multiply(X,X)))) <->
% multiply(multiply(multiply(Y,X),multiply(X,X)),left_inverse(X))
% Current number of equations to process: 3594
% Current number of ordered equations: 1
% Current number of rules: 417
% New rule produced :
% [577]
% multiply(multiply(multiply(Y,X),multiply(X,X)),left_inverse(X)) <->
% multiply(left_inverse(X),multiply(X,multiply(Y,multiply(X,X))))
% Current number of equations to process: 3594
% Current number of ordered equations: 0
% Current number of rules: 418
% Rule [550]
% multiply(multiply(multiply(X,Y),multiply(Y,X)),X) ->
% multiply(multiply(X,multiply(Y,Y)),multiply(X,X)) is composed into 
% [550]
% multiply(multiply(multiply(X,Y),multiply(Y,X)),X) ->
% multiply(X,multiply(multiply(Y,Y),multiply(X,X)))
% New rule produced :
% [578]
% multiply(multiply(X,multiply(Y,Y)),multiply(X,X)) ->
% multiply(X,multiply(multiply(Y,Y),multiply(X,X)))
% Current number of equations to process: 4168
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [579]
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(Y,X)))) <->
% multiply(multiply(multiply(X,Y),multiply(X,X)),left_inverse(X))
% Current number of equations to process: 4728
% Current number of ordered equations: 1
% Current number of rules: 420
% New rule produced :
% [580]
% multiply(multiply(multiply(X,Y),multiply(X,X)),left_inverse(X)) <->
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(Y,X))))
% Current number of equations to process: 4728
% Current number of ordered equations: 0
% Current number of rules: 421
% Rule [565]
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),left_inverse(Y)) <->
% multiply(left_inverse(Y),multiply(Y,multiply(multiply(X,Y),Y))) is composed into 
% [565]
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),left_inverse(Y)) <->
% multiply(left_inverse(Y),multiply(Y,multiply(X,multiply(Y,Y))))
% New rule produced :
% [581]
% multiply(left_inverse(X),multiply(X,multiply(multiply(Y,X),X))) ->
% multiply(left_inverse(X),multiply(X,multiply(Y,multiply(X,X))))
% Rule
% [566]
% multiply(left_inverse(Y),multiply(Y,multiply(multiply(X,Y),Y))) <->
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),left_inverse(Y)) collapsed.
% Current number of equations to process: 1635
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [582]
% multiply(left_inverse(X),multiply(multiply(X,Y),multiply(X,X))) ->
% multiply(left_inverse(X),multiply(X,multiply(Y,multiply(X,X))))
% Current number of equations to process: 1950
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [583]
% multiply(multiply(multiply(X,Y),multiply(X,X)),X) ->
% multiply(X,multiply(multiply(Y,X),multiply(X,X)))
% Current number of equations to process: 1977
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [584]
% multiply(multiply(multiply(X,Y),Y),left_inverse(Y)) ->
% multiply(multiply(X,multiply(Y,Y)),left_inverse(Y))
% Rule
% [573]
% multiply(multiply(multiply(multiply(X,X),Y),Y),left_inverse(Y)) ->
% multiply(multiply(multiply(X,X),multiply(Y,Y)),left_inverse(Y)) collapsed.
% Current number of equations to process: 2053
% Current number of ordered equations: 0
% Current number of rules: 423
% Rule [557]
% multiply(multiply(X,multiply(X,Y)),multiply(X,X)) <->
% multiply(X,multiply(X,multiply(multiply(Y,X),X))) is composed into 
% [557]
% multiply(multiply(X,multiply(X,Y)),multiply(X,X)) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,X))))
% New rule produced :
% [585]
% multiply(X,multiply(multiply(Y,X),X)) ->
% multiply(X,multiply(Y,multiply(X,X)))
% Rule
% [288]
% multiply(left_inverse(multiply(X,Y)),multiply(X,multiply(multiply(Y,X),X)))
% -> multiply(X,X) collapsed.
% Rule
% [556]
% multiply(X,multiply(X,multiply(multiply(Y,X),X))) <->
% multiply(multiply(X,multiply(X,Y)),multiply(X,X)) collapsed.
% Rule
% [559]
% multiply(X,multiply(multiply(multiply(Y,Y),X),X)) ->
% multiply(X,multiply(multiply(Y,Y),multiply(X,X))) collapsed.
% Rule
% [581]
% multiply(left_inverse(X),multiply(X,multiply(multiply(Y,X),X))) ->
% multiply(left_inverse(X),multiply(X,multiply(Y,multiply(X,X)))) collapsed.
% Current number of equations to process: 2067
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [586]
% multiply(left_inverse(multiply(X,Y)),multiply(X,multiply(Y,multiply(X,X))))
% -> multiply(X,X)
% Current number of equations to process: 2066
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [587]
% multiply(X,multiply(multiply(X,Y),multiply(X,X))) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,X))))
% Current number of equations to process: 2172
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [588]
% multiply(X,multiply(multiply(Y,multiply(X,X)),left_inverse(X))) ->
% multiply(X,multiply(Y,X))
% Current number of equations to process: 2809
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [589]
% multiply(left_inverse(X),multiply(X,multiply(Y,X))) <->
% multiply(multiply(Y,multiply(X,X)),left_inverse(X))
% Rule
% [568]
% multiply(left_inverse(Y),multiply(Y,multiply(multiply(X,X),Y))) <->
% multiply(multiply(multiply(X,X),multiply(Y,Y)),left_inverse(Y)) collapsed.
% Current number of equations to process: 2840
% Current number of ordered equations: 1
% Current number of rules: 423
% New rule produced :
% [590]
% multiply(multiply(Y,multiply(X,X)),left_inverse(X)) <->
% multiply(left_inverse(X),multiply(X,multiply(Y,X)))
% Rule
% [569]
% multiply(multiply(multiply(X,X),multiply(Y,Y)),left_inverse(Y)) <->
% multiply(left_inverse(Y),multiply(Y,multiply(multiply(X,X),Y))) collapsed.
% Current number of equations to process: 2840
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [591]
% multiply(X,multiply(left_inverse(X),multiply(Y,multiply(X,X)))) <->
% multiply(multiply(Y,X),X)
% Current number of equations to process: 2851
% Current number of ordered equations: 1
% Current number of rules: 424
% New rule produced :
% [592]
% multiply(multiply(Y,X),X) <->
% multiply(X,multiply(left_inverse(X),multiply(Y,multiply(X,X))))
% Current number of equations to process: 2851
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [593]
% multiply(left_inverse(X),multiply(multiply(Y,X),X)) ->
% multiply(left_inverse(X),multiply(Y,multiply(X,X)))
% Rule
% [570]
% multiply(left_inverse(X),multiply(multiply(multiply(Y,Y),X),X)) ->
% multiply(left_inverse(X),multiply(multiply(Y,Y),multiply(X,X))) collapsed.
% Current number of equations to process: 3264
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [594]
% multiply(X,multiply(multiply(Y,left_inverse(X)),multiply(X,X))) ->
% multiply(X,multiply(Y,X))
% Current number of equations to process: 3386
% Current number of ordered equations: 0
% Current number of rules: 426
% Rule [548]
% multiply(multiply(left_inverse(left_inverse(X)),Y),multiply(X,X)) <->
% multiply(left_inverse(left_inverse(X)),multiply(multiply(Y,X),X)) is composed into 
% [548]
% multiply(multiply(left_inverse(left_inverse(X)),Y),multiply(X,X)) ->
% multiply(left_inverse(left_inverse(X)),multiply(Y,multiply(X,X)))
% New rule produced :
% [595]
% multiply(left_inverse(left_inverse(X)),multiply(multiply(Y,X),X)) ->
% multiply(left_inverse(left_inverse(X)),multiply(Y,multiply(X,X)))
% Rule
% [547]
% multiply(left_inverse(left_inverse(X)),multiply(multiply(Y,X),X)) <->
% multiply(multiply(left_inverse(left_inverse(X)),Y),multiply(X,X)) collapsed.
% Current number of equations to process: 3645
% Current number of ordered equations: 0
% Current number of rules: 426
% Rule [174]
% multiply(multiply(multiply(X,Y),left_inverse(X)),left_inverse(X)) ->
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(multiply(Y,
% left_inverse(X)),
% left_inverse(X))))) is composed into 
% [174]
% multiply(multiply(multiply(X,Y),left_inverse(X)),left_inverse(X)) ->
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(Y,multiply(left_inverse(X),
% left_inverse(X))))))
% New rule produced :
% [596]
% multiply(X,multiply(multiply(Y,left_inverse(X)),left_inverse(X))) ->
% multiply(X,multiply(Y,multiply(left_inverse(X),left_inverse(X))))
% Current number of equations to process: 3644
% Current number of ordered equations: 0
% Current number of rules: 427
% Rule [542]
% multiply(multiply(X,left_inverse(left_inverse(Y))),multiply(Y,Y)) <->
% multiply(multiply(multiply(X,Y),Y),left_inverse(left_inverse(Y))) is composed into 
% [542]
% multiply(multiply(X,left_inverse(left_inverse(Y))),multiply(Y,Y)) ->
% multiply(multiply(X,multiply(Y,Y)),left_inverse(left_inverse(Y)))
% New rule produced :
% [597]
% multiply(multiply(multiply(X,Y),Y),left_inverse(left_inverse(Y))) ->
% multiply(multiply(X,multiply(Y,Y)),left_inverse(left_inverse(Y)))
% Rule
% [543]
% multiply(multiply(multiply(X,Y),Y),left_inverse(left_inverse(Y))) <->
% multiply(multiply(X,left_inverse(left_inverse(Y))),multiply(Y,Y)) collapsed.
% Current number of equations to process: 3643
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [598]
% multiply(multiply(multiply(X,multiply(Y,Y)),left_inverse(Y)),left_inverse(Y))
% -> multiply(multiply(X,Y),left_inverse(Y))
% Rule
% [575]
% multiply(multiply(multiply(multiply(X,X),multiply(Y,Y)),left_inverse(Y)),
% left_inverse(Y)) -> multiply(X,X) collapsed.
% Current number of equations to process: 3641
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [599]
% multiply(left_inverse(X),multiply(multiply(Y,multiply(X,X)),left_inverse(X)))
% -> multiply(left_inverse(X),multiply(Y,X))
% Current number of equations to process: 3643
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [600]
% multiply(X,multiply(multiply(Y,multiply(left_inverse(X),left_inverse(X))),X))
% -> multiply(X,multiply(Y,left_inverse(X)))
% Current number of equations to process: 3641
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [601]
% multiply(left_inverse(left_inverse(X)),multiply(Y,multiply(X,X))) <->
% multiply(multiply(X,multiply(Y,X)),left_inverse(left_inverse(X)))
% Current number of equations to process: 4553
% Current number of ordered equations: 1
% Current number of rules: 430
% New rule produced :
% [602]
% multiply(multiply(X,multiply(Y,X)),left_inverse(left_inverse(X))) <->
% multiply(left_inverse(left_inverse(X)),multiply(Y,multiply(X,X)))
% Current number of equations to process: 4553
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [603]
% multiply(multiply(X,multiply(Y,Y)),Y) ->
% multiply(multiply(X,Y),multiply(Y,Y))
% Rule
% [475]
% multiply(multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),
% left_inverse(X))),left_inverse(X))
% -> identity collapsed.
% Rule
% [541]
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),Y) ->
% multiply(multiply(multiply(X,Y),Y),multiply(Y,Y)) collapsed.
% Rule
% [558]
% multiply(X,multiply(multiply(Y,multiply(X,X)),X)) ->
% multiply(X,multiply(multiply(Y,X),multiply(X,X))) collapsed.
% Rule
% [560]
% multiply(multiply(multiply(X,X),multiply(Y,Y)),Y) ->
% multiply(multiply(multiply(X,X),Y),multiply(Y,Y)) collapsed.
% Rule
% [571]
% multiply(multiply(multiply(X,multiply(Y,Y)),Y),left_inverse(Y)) ->
% multiply(multiply(multiply(X,Y),multiply(Y,Y)),left_inverse(Y)) collapsed.
% Rule
% [572]
% multiply(left_inverse(X),multiply(multiply(Y,multiply(X,X)),X)) ->
% multiply(left_inverse(X),multiply(multiply(Y,X),multiply(X,X))) collapsed.
% Rule
% [583]
% multiply(multiply(multiply(X,Y),multiply(X,X)),X) ->
% multiply(X,multiply(multiply(Y,X),multiply(X,X))) collapsed.
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [604]
% multiply(left_inverse(X),multiply(multiply(Y,left_inverse(X)),multiply(X,X)))
% -> multiply(left_inverse(X),multiply(Y,X))
% Current number of equations to process: 2200
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [605]
% multiply(X,multiply(multiply(Y,X),multiply(left_inverse(X),left_inverse(X))))
% -> multiply(X,multiply(Y,left_inverse(X)))
% Current number of equations to process: 2658
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [606]
% multiply(multiply(X,Y),Y) <->
% multiply(Y,multiply(multiply(left_inverse(left_inverse(left_inverse(Y))),X),
% multiply(Y,Y)))
% Current number of equations to process: 3219
% Current number of ordered equations: 1
% Current number of rules: 428
% New rule produced :
% [607]
% multiply(Y,multiply(multiply(left_inverse(left_inverse(left_inverse(Y))),X),
% multiply(Y,Y))) <-> multiply(multiply(X,Y),Y)
% Current number of equations to process: 3219
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [608]
% multiply(X,multiply(multiply(Y,left_inverse(left_inverse(left_inverse(X)))),
% multiply(X,X))) -> multiply(X,multiply(Y,X))
% Current number of equations to process: 3218
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [609]
% multiply(X,multiply(left_inverse(multiply(multiply(X,X),left_inverse(X))),
% multiply(X,X))) -> multiply(X,X)
% Current number of equations to process: 3217
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [610]
% multiply(multiply(multiply(X,multiply(Y,Y)),left_inverse(multiply(multiply(X,Y),Y))),Y)
% -> Y
% Current number of equations to process: 3216
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [611]
% multiply(X,multiply(multiply(Y,multiply(X,X)),left_inverse(multiply(multiply(Y,X),X))))
% -> X
% Current number of equations to process: 3215
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [612]
% multiply(multiply(X,multiply(Y,multiply(left_inverse(X),left_inverse(X)))),
% multiply(X,X)) -> multiply(X,Y)
% Current number of equations to process: 3213
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [613]
% multiply(left_inverse(X),multiply(left_inverse(multiply(multiply(X,X),
% left_inverse(X))),multiply(X,X)))
% -> identity
% Current number of equations to process: 3212
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [614]
% multiply(X,multiply(multiply(left_inverse(X),multiply(Y,left_inverse(X))),
% multiply(X,X))) -> multiply(Y,X)
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [615]
% multiply(multiply(multiply(X,X),left_inverse(X)),multiply(X,multiply(
% left_inverse(X),
% left_inverse(X))))
% -> identity
% Current number of equations to process: 3210
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [616]
% multiply(X,multiply(multiply(Y,multiply(X,X)),multiply(left_inverse(X),
% left_inverse(X)))) ->
% multiply(X,Y)
% Rule
% [476]
% multiply(X,multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),
% left_inverse(X)))) ->
% multiply(X,X) collapsed.
% Current number of equations to process: 3208
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [617]
% multiply(multiply(X,multiply(left_inverse(Y),left_inverse(Y))),Y) ->
% multiply(Y,multiply(left_inverse(Y),multiply(X,left_inverse(Y))))
% Rule
% [479]
% multiply(multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),
% left_inverse(X))),X) ->
% multiply(X,X) collapsed.
% Rule
% [600]
% multiply(X,multiply(multiply(Y,multiply(left_inverse(X),left_inverse(X))),X))
% -> multiply(X,multiply(Y,left_inverse(X))) collapsed.
% Current number of equations to process: 3449
% Current number of ordered equations: 0
% Current number of rules: 436
% Rule [579]
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(Y,X)))) <->
% multiply(multiply(multiply(X,Y),multiply(X,X)),left_inverse(X)) is composed into 
% [579]
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(Y,X)))) <->
% multiply(multiply(X,multiply(Y,multiply(X,X))),left_inverse(X))
% Rule [539]
% multiply(multiply(X,Y),Y) <->
% multiply(multiply(Y,multiply(left_inverse(Y),X)),multiply(Y,Y)) is composed into 
% [539]
% multiply(multiply(X,Y),Y) <->
% multiply(Y,multiply(multiply(left_inverse(Y),X),multiply(Y,Y)))
% New rule produced :
% [618]
% multiply(multiply(X,Y),multiply(X,X)) ->
% multiply(X,multiply(Y,multiply(X,X)))
% Rule
% [540]
% multiply(multiply(Y,multiply(left_inverse(Y),X)),multiply(Y,Y)) <->
% multiply(multiply(X,Y),Y) collapsed.
% Rule
% [544]
% multiply(multiply(X,multiply(Y,X)),multiply(X,X)) ->
% multiply(X,multiply(multiply(Y,X),multiply(X,X))) collapsed.
% Rule
% [549]
% multiply(multiply(X,multiply(Y,left_inverse(X))),multiply(X,X)) ->
% multiply(X,multiply(Y,X)) collapsed.
% Rule
% [557]
% multiply(multiply(X,multiply(X,Y)),multiply(X,X)) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,X)))) collapsed.
% Rule
% [562]
% multiply(multiply(Y,multiply(left_inverse(Y),multiply(X,left_inverse(Y)))),
% multiply(Y,Y)) -> multiply(X,Y) collapsed.
% Rule
% [578]
% multiply(multiply(X,multiply(Y,Y)),multiply(X,X)) ->
% multiply(X,multiply(multiply(Y,Y),multiply(X,X))) collapsed.
% Rule
% [580]
% multiply(multiply(multiply(X,Y),multiply(X,X)),left_inverse(X)) <->
% multiply(left_inverse(X),multiply(X,multiply(X,multiply(Y,X)))) collapsed.
% Rule
% [582]
% multiply(left_inverse(X),multiply(multiply(X,Y),multiply(X,X))) ->
% multiply(left_inverse(X),multiply(X,multiply(Y,multiply(X,X)))) collapsed.
% Rule
% [587]
% multiply(X,multiply(multiply(X,Y),multiply(X,X))) ->
% multiply(X,multiply(X,multiply(Y,multiply(X,X)))) collapsed.
% Rule
% [612]
% multiply(multiply(X,multiply(Y,multiply(left_inverse(X),left_inverse(X)))),
% multiply(X,X)) -> multiply(X,Y) collapsed.
% Current number of equations to process: 4111
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [619]
% multiply(X,multiply(multiply(Y,multiply(left_inverse(X),left_inverse(X))),
% multiply(X,X))) -> multiply(X,Y)
% Current number of equations to process: 4372
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [620]
% multiply(multiply(X,Y),multiply(X,multiply(left_inverse(X),left_inverse(X))))
% -> multiply(X,multiply(Y,left_inverse(X)))
% Rule
% [371]
% multiply(multiply(X,multiply(X,X)),multiply(X,multiply(left_inverse(X),
% left_inverse(X)))) ->
% multiply(X,X) collapsed.
% Current number of equations to process: 2836
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [621]
% multiply(left_inverse(multiply(left_inverse(multiply(multiply(X,X),left_inverse(X))),
% multiply(X,X))),X) -> identity
% Current number of equations to process: 3686
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [622]
% multiply(X,left_inverse(multiply(left_inverse(multiply(multiply(X,X),
% left_inverse(X))),multiply(X,X))))
% -> identity
% Current number of equations to process: 3685
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [623]
% multiply(multiply(X,multiply(left_inverse(X),left_inverse(X))),multiply(
% multiply(X,X),
% left_inverse(X)))
% -> identity
% Current number of equations to process: 3968
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [624]
% multiply(X,multiply(left_inverse(X),Y)) <->
% multiply(multiply(Y,X),multiply(X,multiply(left_inverse(X),left_inverse(X))))
% Current number of equations to process: 4253
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [625]
% multiply(multiply(Y,X),multiply(X,multiply(left_inverse(X),left_inverse(X))))
% <-> multiply(X,multiply(left_inverse(X),Y))
% Current number of equations to process: 4253
% Current number of ordered equations: 0
% Current number of rules: 433
% Rule [473]
% multiply(multiply(left_inverse(X),left_inverse(X)),multiply(X,multiply(X,X)))
% ->
% multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),left_inverse(X))) is composed into 
% [473]
% multiply(multiply(left_inverse(X),left_inverse(X)),multiply(X,multiply(X,X)))
% -> X
% New rule produced :
% [626]
% multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),left_inverse(X)))
% -> X
% Rule
% [474]
% multiply(left_inverse(X),multiply(multiply(X,multiply(X,X)),multiply(
% left_inverse(X),
% left_inverse(X))))
% -> identity collapsed.
% Rule
% [477]
% multiply(left_inverse(multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),
% left_inverse(X)))),X)
% -> identity collapsed.
% Rule
% [478]
% multiply(X,left_inverse(multiply(multiply(X,multiply(X,X)),multiply(left_inverse(X),
% left_inverse(X)))))
% -> identity collapsed.
% Current number of equations to process: 4874
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [627]
% multiply(multiply(left_inverse(X),Y),multiply(multiply(X,X),left_inverse(X)))
% -> multiply(left_inverse(X),multiply(Y,X))
% Current number of equations to process: 4881
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [628]
% multiply(multiply(X,left_inverse(Y)),multiply(multiply(Y,Y),left_inverse(Y)))
% -> multiply(left_inverse(Y),multiply(Y,X))
% Current number of equations to process: 4880
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [629]
% multiply(X,multiply(Y,left_inverse(multiply(multiply(X,X),left_inverse(X)))))
% -> multiply(X,multiply(Y,left_inverse(X)))
% Current number of equations to process: 4941
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [630]
% multiply(X,multiply(left_inverse(X),multiply(left_invCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------