TSTP Solution File: GRP014-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP014-1 : TPTP v6.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n148.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 00:22:09 EDT 2014
% Result : Unsatisfiable 98.45s
% Output : Refutation 98.45s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP014-1 : TPTP v6.0.0. Released v1.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n148.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 16:40:03 CDT 2014
% % CPUTime : 98.45
% Processing problem /tmp/CiME_4316_n148.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant; multiply : 2; inverse : 1;";
% let X = vars "X Y W Z";
% let Axioms = equations F X "
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(inverse(X),W))),Z),inverse(multiply(Y,Z))))) = W;
% ";
%
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > a > b > c";
%
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% multiply mul;
% inverse mul;
% ";
%
% let p2 = precedence F "
% multiply > inverse > a = b = c";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(a,multiply(b,c)) = multiply(multiply(a,b),c);"
% ;
% (*
% 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(X,inverse(multiply(multiply(inverse(
% multiply(
% inverse(Y),
% multiply(
% inverse(X),W))),Z),
% inverse(multiply(Y,Z))))) = W }
% (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(a,multiply(b,c)) =
% multiply(multiply(a,b),c) } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced :
% [1]
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(
% inverse(X),W))),Z),
% inverse(multiply(Y,Z))))) -> W
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% inverse(multiply(multiply(inverse(multiply(inverse(V_4),multiply(inverse(
% inverse(X)),W))),V_5),
% inverse(multiply(V_4,V_5)))) <->
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),W)),Z),
% inverse(multiply(Y,Z)))))
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),W)),Z),
% inverse(multiply(Y,Z))))) <->
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(c),W)),c),
% inverse(multiply(c,c)))))
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(c),W)),c),
% inverse(multiply(c,c))))) <->
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),W)),Z),
% inverse(multiply(Y,Z)))))
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(
% inverse(Y),W)),Z),
% inverse(multiply(Y,Z)))))) -> W
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% inverse(multiply(multiply(inverse(multiply(inverse(Y),X)),W),inverse(
% multiply(Y,W))))
% <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),X)),c),inverse(
% multiply(c,c))))
% Rule
% [3]
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),W)),Z),
% inverse(multiply(Y,Z))))) <->
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(c),W)),c),
% inverse(multiply(c,c))))) collapsed.
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [7]
% inverse(multiply(multiply(inverse(multiply(inverse(Z),Y)),V_4),inverse(
% multiply(Z,V_4))))
% <->
% multiply(X,inverse(multiply(multiply(inverse(Y),W),inverse(multiply(inverse(X),W)))))
% Rule
% [1]
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(
% inverse(X),W))),Z),
% inverse(multiply(Y,Z))))) -> W collapsed.
% Rule
% [2]
% inverse(multiply(multiply(inverse(multiply(inverse(V_4),multiply(inverse(
% inverse(X)),W))),V_5),
% inverse(multiply(V_4,V_5)))) <->
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),W)),Z),
% inverse(multiply(Y,Z))))) collapsed.
% Rule
% [4]
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(c),W)),c),
% inverse(multiply(c,c))))) <->
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),W)),Z),
% inverse(multiply(Y,Z))))) collapsed.
% Rule
% [5]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(
% inverse(Y),W)),Z),
% inverse(multiply(Y,Z)))))) -> W
% collapsed.
% Rule
% [6]
% inverse(multiply(multiply(inverse(multiply(inverse(Y),X)),W),inverse(
% multiply(Y,W))))
% <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),X)),c),inverse(
% multiply(c,c))))
% collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [8]
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(X),W)),W),
% inverse(multiply(inverse(X),W)))))) -> W
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [9]
% multiply(inverse(X),multiply(X,multiply(c,inverse(multiply(multiply(inverse(W),c),
% inverse(multiply(inverse(c),c)))))))
% -> W
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [10]
% multiply(X,inverse(multiply(multiply(inverse(X),W),inverse(multiply(inverse(X),W)))))
% <->
% multiply(c,inverse(multiply(multiply(inverse(X),c),inverse(multiply(inverse(c),c)))))
% Current number of equations to process: 29
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [11]
% multiply(c,inverse(multiply(multiply(inverse(X),c),inverse(multiply(inverse(c),c)))))
% <->
% multiply(X,inverse(multiply(multiply(inverse(X),W),inverse(multiply(inverse(X),W)))))
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [12]
% multiply(X,inverse(multiply(Y,inverse(Y)))) <->
% multiply(c,inverse(multiply(multiply(inverse(X),c),inverse(multiply(inverse(c),c)))))
% Rule
% [10]
% multiply(X,inverse(multiply(multiply(inverse(X),W),inverse(multiply(inverse(X),W)))))
% <->
% multiply(c,inverse(multiply(multiply(inverse(X),c),inverse(multiply(inverse(c),c)))))
% collapsed.
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [13]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(inverse(Y),W),
% inverse(multiply(inverse(Y),W)))))))
% -> Y
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [14]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))))
% -> Y
% Rule
% [13]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(inverse(Y),W),
% inverse(multiply(inverse(Y),W)))))))
% -> Y collapsed.
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [15]
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(W),W),inverse(
% multiply(
% inverse(X),W))))))
% <->
% multiply(X,multiply(c,inverse(multiply(multiply(inverse(W),c),inverse(
% multiply(
% inverse(c),c))))))
% Current number of equations to process: 73
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [16]
% multiply(X,multiply(c,inverse(multiply(multiply(inverse(W),c),inverse(
% multiply(
% inverse(c),c))))))
% <->
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(W),W),inverse(
% multiply(
% inverse(X),W))))))
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [17]
% multiply(inverse(X),multiply(X,multiply(X,inverse(multiply(multiply(inverse(Y),Y),
% inverse(multiply(inverse(X),Y)))))))
% -> Y
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [18]
% multiply(inverse(X),multiply(X,multiply(c,multiply(Y,inverse(multiply(
% multiply(
% inverse(W),Z),
% inverse(
% multiply(
% inverse(Y),Z))))))))
% -> multiply(inverse(inverse(c)),W)
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [19]
% multiply(inverse(X),multiply(X,Y)) <->
% multiply(inverse(inverse(c)),multiply(inverse(c),Y))
% Current number of equations to process: 129
% Current number of ordered equations: 1
% Current number of rules: 11
% Rule [19]
% multiply(inverse(X),multiply(X,Y)) <->
% multiply(inverse(inverse(c)),multiply(inverse(c),Y)) is composed into
% [19]
% multiply(inverse(X),multiply(X,Y)) <-> multiply(inverse(c),multiply(c,Y))
% New rule produced :
% [20]
% multiply(inverse(inverse(c)),multiply(inverse(c),Y)) <->
% multiply(inverse(X),multiply(X,Y))
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [21]
% multiply(inverse(inverse(X)),multiply(inverse(c),multiply(c,Y))) ->
% multiply(inverse(c),multiply(c,multiply(X,Y)))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [22]
% multiply(inverse(inverse(X)),Y) <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,inverse(multiply(W,
% inverse(W)))))))
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [23]
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,inverse(multiply(W,
% inverse(W)))))))
% <-> multiply(inverse(inverse(X)),Y)
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [24]
% multiply(inverse(Y),multiply(Y,multiply(c,multiply(X,inverse(multiply(W,
% inverse(W)))))))
% <-> multiply(inverse(inverse(c)),X)
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [25]
% multiply(inverse(inverse(c)),X) <->
% multiply(inverse(Y),multiply(Y,multiply(c,multiply(X,inverse(multiply(W,
% inverse(W)))))))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [26]
% multiply(inverse(c),multiply(c,multiply(Y,inverse(multiply(multiply(inverse(X),X),
% inverse(multiply(inverse(Y),X)))))))
% -> X
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [27]
% multiply(inverse(Y),multiply(Y,multiply(inverse(c),inverse(multiply(multiply(
% inverse(X),X),
% inverse(multiply(
% inverse(
% inverse(c)),X)))))))
% -> X
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [28]
% multiply(inverse(c),multiply(c,multiply(c,multiply(X,multiply(Y,inverse(
% multiply(W,
% inverse(W))))))))
% <-> multiply(inverse(inverse(c)),multiply(inverse(inverse(X)),Y))
% Current number of equations to process: 266
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [29]
% multiply(inverse(inverse(c)),multiply(inverse(inverse(X)),Y)) <->
% multiply(inverse(c),multiply(c,multiply(c,multiply(X,multiply(Y,inverse(
% multiply(W,
% inverse(W))))))))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [30]
% multiply(inverse(W),multiply(W,multiply(c,multiply(X,multiply(Y,inverse(
% multiply(Z,
% inverse(Z))))))))
% <-> multiply(inverse(inverse(c)),multiply(inverse(inverse(X)),Y))
% Rule
% [28]
% multiply(inverse(c),multiply(c,multiply(c,multiply(X,multiply(Y,inverse(
% multiply(W,
% inverse(W))))))))
% <-> multiply(inverse(inverse(c)),multiply(inverse(inverse(X)),Y)) collapsed.
% Current number of equations to process: 265
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [31]
% multiply(inverse(inverse(c)),multiply(inverse(inverse(X)),Y)) <->
% multiply(inverse(W),multiply(W,multiply(c,multiply(X,multiply(Y,inverse(
% multiply(Z,
% inverse(Z))))))))
% Rule
% [29]
% multiply(inverse(inverse(c)),multiply(inverse(inverse(X)),Y)) <->
% multiply(inverse(c),multiply(c,multiply(c,multiply(X,multiply(Y,inverse(
% multiply(W,
% inverse(W))))))))
% collapsed.
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [32]
% multiply(inverse(inverse(X)),multiply(inverse(inverse(Y)),W)) <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,multiply(W,inverse(
% multiply(Z,
% inverse(Z))))))))
% Current number of equations to process: 264
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [33]
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,multiply(W,inverse(
% multiply(Z,
% inverse(Z))))))))
% <-> multiply(inverse(inverse(X)),multiply(inverse(inverse(Y)),W))
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [34]
% multiply(inverse(X),multiply(c,inverse(multiply(multiply(inverse(X),c),
% inverse(multiply(inverse(c),c))))))
% <-> multiply(inverse(c),multiply(c,inverse(multiply(Y,inverse(Y)))))
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [35]
% multiply(inverse(c),multiply(c,inverse(multiply(Y,inverse(Y))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(c,inverse(c)))))
% Current number of equations to process: 260
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [36]
% multiply(inverse(c),multiply(c,inverse(multiply(c,inverse(c))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(Y,inverse(Y)))))
% Current number of equations to process: 260
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [37]
% multiply(inverse(W),multiply(W,multiply(c,multiply(X,inverse(multiply(Z,
% inverse(Z)))))))
% <->
% multiply(inverse(c),multiply(c,multiply(c,multiply(X,inverse(multiply(Y,
% inverse(Y)))))))
% Current number of equations to process: 259
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [38]
% multiply(inverse(c),multiply(c,multiply(c,multiply(X,inverse(multiply(Y,
% inverse(Y)))))))
% <->
% multiply(inverse(W),multiply(W,multiply(c,multiply(X,inverse(multiply(Z,
% inverse(Z)))))))
% Current number of equations to process: 259
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [39]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(inverse(X),Y))))))
% <-> multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W)))))
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [40]
% multiply(inverse(X),multiply(X,inverse(multiply(Y,inverse(Y))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W)))))
% Rule
% [35]
% multiply(inverse(c),multiply(c,inverse(multiply(Y,inverse(Y))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(c,inverse(c))))) collapsed.
% Rule
% [36]
% multiply(inverse(c),multiply(c,inverse(multiply(c,inverse(c))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(Y,inverse(Y))))) collapsed.
% Rule
% [39]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(inverse(X),Y))))))
% <-> multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W)))))
% collapsed.
% Current number of equations to process: 430
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [41]
% multiply(inverse(inverse(inverse(c))),multiply(inverse(X),multiply(X,
% multiply(c,
% multiply(Y,
% inverse(multiply(W,
% inverse(W))))))))
% -> multiply(inverse(c),multiply(c,Y))
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [42]
% multiply(X,multiply(Y,inverse(multiply(multiply(inverse(Y),W),inverse(
% multiply(
% inverse(Y),W))))))
% <->
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(Y),Y),inverse(
% multiply(
% inverse(X),Y))))))
% Current number of equations to process: 455
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [43]
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(Y),Y),inverse(
% multiply(
% inverse(X),Y))))))
% <->
% multiply(X,multiply(Y,inverse(multiply(multiply(inverse(Y),W),inverse(
% multiply(
% inverse(Y),W))))))
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [44]
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))) <->
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(Y),Y),inverse(
% multiply(
% inverse(X),Y))))))
% Rule
% [42]
% multiply(X,multiply(Y,inverse(multiply(multiply(inverse(Y),W),inverse(
% multiply(
% inverse(Y),W))))))
% <->
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(Y),Y),inverse(
% multiply(
% inverse(X),Y))))))
% collapsed.
% Current number of equations to process: 462
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [45]
% multiply(inverse(X),multiply(X,multiply(X,multiply(Y,inverse(multiply(
% multiply(
% inverse(W),Z),
% inverse(
% multiply(
% inverse(Y),Z))))))))
% <-> multiply(inverse(inverse(X)),W)
% Current number of equations to process: 537
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [46]
% multiply(inverse(inverse(X)),W) <->
% multiply(inverse(X),multiply(X,multiply(X,multiply(Y,inverse(multiply(
% multiply(
% inverse(W),Z),
% inverse(
% multiply(
% inverse(Y),Z))))))))
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [47]
% multiply(inverse(inverse(X)),Y) <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(c,inverse(multiply(
% multiply(
% inverse(Y),c),
% inverse(
% multiply(
% inverse(c),c))))))))
% Current number of equations to process: 663
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [48]
% multiply(inverse(c),multiply(c,multiply(X,multiply(c,inverse(multiply(
% multiply(
% inverse(Y),c),
% inverse(
% multiply(
% inverse(c),c))))))))
% <-> multiply(inverse(inverse(X)),Y)
% Current number of equations to process: 663
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [49]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),Y),
% inverse(multiply(W,Y)))) <->
% multiply(Z,inverse(multiply(multiply(inverse(multiply(W,X)),V_4),inverse(
% multiply(
% inverse(Z),V_4)))))
% Current number of equations to process: 737
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [50]
% multiply(Z,inverse(multiply(multiply(inverse(multiply(W,X)),V_4),inverse(
% multiply(
% inverse(Z),V_4)))))
% <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),Y),
% inverse(multiply(W,Y))))
% Current number of equations to process: 737
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [51]
% multiply(c,multiply(c,multiply(X,inverse(multiply(multiply(inverse(multiply(
% inverse(c),Y)),W),
% inverse(multiply(inverse(X),W)))))))
% -> multiply(c,Y)
% Current number of equations to process: 780
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [52]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(
% inverse(c),
% multiply(c,Y))),W),
% inverse(multiply(Z,W)))))) <->
% multiply(Z,Y)
% Current number of equations to process: 880
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [53]
% multiply(Z,Y) <->
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(
% inverse(c),
% multiply(c,Y))),W),
% inverse(multiply(Z,W))))))
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [54]
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,Y))),W),
% inverse(multiply(inverse(X),W))))) -> Y
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [55]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,multiply(Y,X)))),W),
% inverse(multiply(inverse(Y),W)))) -> X
% Current number of equations to process: 919
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [56]
% multiply(X,inverse(multiply(multiply(inverse(Y),W),inverse(multiply(inverse(X),W)))))
% <->
% multiply(c,inverse(multiply(multiply(inverse(Y),c),inverse(multiply(inverse(c),c)))))
% Rule
% [15]
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(W),W),inverse(
% multiply(
% inverse(X),W))))))
% <->
% multiply(X,multiply(c,inverse(multiply(multiply(inverse(W),c),inverse(
% multiply(
% inverse(c),c))))))
% collapsed.
% Current number of equations to process: 930
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [57]
% multiply(c,inverse(multiply(multiply(inverse(Y),c),inverse(multiply(inverse(c),c)))))
% <->
% multiply(X,inverse(multiply(multiply(inverse(Y),W),inverse(multiply(inverse(X),W)))))
% Rule
% [11]
% multiply(c,inverse(multiply(multiply(inverse(X),c),inverse(multiply(inverse(c),c)))))
% <->
% multiply(X,inverse(multiply(multiply(inverse(X),W),inverse(multiply(inverse(X),W)))))
% collapsed.
% Rule
% [16]
% multiply(X,multiply(c,inverse(multiply(multiply(inverse(W),c),inverse(
% multiply(
% inverse(c),c))))))
% <->
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(W),W),inverse(
% multiply(
% inverse(X),W))))))
% collapsed.
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [58]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,Y))),Z),
% inverse(multiply(inverse(inverse(X)),Z)))) <->
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W)))))
% Current number of equations to process: 940
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [59]
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,Y))),Z),
% inverse(multiply(inverse(inverse(X)),Z))))
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [60]
% multiply(c,multiply(X,inverse(multiply(Y,inverse(Y))))) <->
% multiply(c,multiply(X,inverse(multiply(c,inverse(c)))))
% Current number of equations to process: 939
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [61]
% multiply(c,multiply(X,inverse(multiply(c,inverse(c))))) <->
% multiply(c,multiply(X,inverse(multiply(Y,inverse(Y)))))
% Current number of equations to process: 939
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [62]
% multiply(c,multiply(X,inverse(multiply(Y,inverse(Y))))) <->
% multiply(c,multiply(X,inverse(multiply(W,inverse(W)))))
% Rule
% [60]
% multiply(c,multiply(X,inverse(multiply(Y,inverse(Y))))) <->
% multiply(c,multiply(X,inverse(multiply(c,inverse(c))))) collapsed.
% Rule
% [61]
% multiply(c,multiply(X,inverse(multiply(c,inverse(c))))) <->
% multiply(c,multiply(X,inverse(multiply(Y,inverse(Y))))) collapsed.
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 43
% Rule [43]
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(Y),Y),inverse(
% multiply(
% inverse(X),Y))))))
% <->
% multiply(X,multiply(Y,inverse(multiply(multiply(inverse(Y),W),inverse(
% multiply(
% inverse(Y),W)))))) is composed into
% [43]
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(Y),Y),inverse(
% multiply(
% inverse(X),Y))))))
% -> multiply(X,multiply(Y,inverse(multiply(c,inverse(c)))))
% New rule produced :
% [63]
% inverse(multiply(multiply(inverse(Y),W),inverse(multiply(inverse(Y),W)))) <->
% inverse(multiply(X,inverse(X)))
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [64] inverse(multiply(c,inverse(c))) <-> inverse(multiply(X,inverse(X)))
% Current number of equations to process: 941
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [65] inverse(multiply(X,inverse(X))) <-> inverse(multiply(c,inverse(c)))
% Rule
% [63]
% inverse(multiply(multiply(inverse(Y),W),inverse(multiply(inverse(Y),W)))) <->
% inverse(multiply(X,inverse(X))) collapsed.
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [66]
% multiply(X,multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(X),W)),Z),
% inverse(multiply(inverse(Y),Z)))))) -> W
% Rule
% [8]
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(X),W)),W),
% inverse(multiply(inverse(X),W)))))) -> W
% collapsed.
% Rule
% [51]
% multiply(c,multiply(c,multiply(X,inverse(multiply(multiply(inverse(multiply(
% inverse(c),Y)),W),
% inverse(multiply(inverse(X),W)))))))
% -> multiply(c,Y) collapsed.
% Current number of equations to process: 965
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [67]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),W),
% inverse(multiply(Z,W)))))) <->
% multiply(Z,multiply(Y,inverse(multiply(V_4,inverse(V_4)))))
% Current number of equations to process: 983
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [68]
% multiply(Z,multiply(Y,inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),W),
% inverse(multiply(Z,W))))))
% Current number of equations to process: 983
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [69]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(inverse(
% multiply(c,W)),Z),
% inverse(multiply(inverse(Y),Z)))))))
% -> multiply(c,W)
% Current number of equations to process: 982
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [70]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(inverse(
% multiply(W,Z)),V_4),
% inverse(multiply(inverse(Y),V_4)))))))
% -> multiply(W,Z)
% Rule
% [69]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(inverse(
% multiply(c,W)),Z),
% inverse(multiply(inverse(Y),Z)))))))
% -> multiply(c,W) collapsed.
% Current number of equations to process: 1033
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [71]
% multiply(inverse(X),multiply(X,multiply(c,multiply(Y,inverse(multiply(W,
% inverse(W)))))))
% <->
% multiply(inverse(Z),multiply(Z,multiply(c,multiply(Y,inverse(multiply(V_4,
% inverse(V_4)))))))
% Rule
% [37]
% multiply(inverse(W),multiply(W,multiply(c,multiply(X,inverse(multiply(Z,
% inverse(Z)))))))
% <->
% multiply(inverse(c),multiply(c,multiply(c,multiply(X,inverse(multiply(Y,
% inverse(Y)))))))
% collapsed.
% Rule
% [38]
% multiply(inverse(c),multiply(c,multiply(c,multiply(X,inverse(multiply(Y,
% inverse(Y)))))))
% <->
% multiply(inverse(W),multiply(W,multiply(c,multiply(X,inverse(multiply(Z,
% inverse(Z)))))))
% collapsed.
% Current number of equations to process: 1040
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [72]
% multiply(inverse(X),multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(
% inverse(W),Z),
% inverse(multiply(X,Z)))))))
% -> W
% Current number of equations to process: 1051
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [73]
% multiply(inverse(X),multiply(X,Y)) <-> multiply(inverse(W),multiply(W,Y))
% Rule
% [19]
% multiply(inverse(X),multiply(X,Y)) <-> multiply(inverse(c),multiply(c,Y))
% collapsed.
% Rule
% [20]
% multiply(inverse(inverse(c)),multiply(inverse(c),Y)) <->
% multiply(inverse(X),multiply(X,Y)) collapsed.
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [74]
% multiply(inverse(inverse(X)),multiply(inverse(Y),multiply(Y,W))) ->
% multiply(inverse(c),multiply(c,multiply(X,W)))
% Rule
% [21]
% multiply(inverse(inverse(X)),multiply(inverse(c),multiply(c,Y))) ->
% multiply(inverse(c),multiply(c,multiply(X,Y))) collapsed.
% Rule
% [41]
% multiply(inverse(inverse(inverse(c))),multiply(inverse(X),multiply(X,
% multiply(c,
% multiply(Y,
% inverse(multiply(W,
% inverse(W))))))))
% -> multiply(inverse(c),multiply(c,Y)) collapsed.
% Current number of equations to process: 1058
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [75]
% multiply(inverse(W),multiply(W,multiply(X,multiply(Y,inverse(multiply(Z,
% inverse(Z)))))))
% <-> multiply(inverse(inverse(X)),Y)
% Rule
% [23]
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,inverse(multiply(W,
% inverse(W)))))))
% <-> multiply(inverse(inverse(X)),Y) collapsed.
% Rule
% [24]
% multiply(inverse(Y),multiply(Y,multiply(c,multiply(X,inverse(multiply(W,
% inverse(W)))))))
% <-> multiply(inverse(inverse(c)),X) collapsed.
% Current number of equations to process: 1061
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [76]
% multiply(inverse(Z),multiply(Z,multiply(X,multiply(Y,multiply(W,inverse(
% multiply(V_4,
% inverse(V_4))))))))
% <-> multiply(inverse(inverse(X)),multiply(inverse(inverse(Y)),W))
% Rule
% [30]
% multiply(inverse(W),multiply(W,multiply(c,multiply(X,multiply(Y,inverse(
% multiply(Z,
% inverse(Z))))))))
% <-> multiply(inverse(inverse(c)),multiply(inverse(inverse(X)),Y)) collapsed.
% Rule
% [33]
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,multiply(W,inverse(
% multiply(Z,
% inverse(Z))))))))
% <-> multiply(inverse(inverse(X)),multiply(inverse(inverse(Y)),W)) collapsed.
% Current number of equations to process: 1070
% Current number of ordered equations: 0
% Current number of rules: 43
% Rule [49]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),Y),
% inverse(multiply(W,Y)))) <->
% multiply(Z,inverse(multiply(multiply(inverse(multiply(W,X)),V_4),
% inverse(multiply(inverse(Z),V_4))))) is composed into
% [49]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),Y),
% inverse(multiply(W,Y)))) <->
% multiply(multiply(W,X),inverse(multiply(Z,inverse(Z))))
% Rule [47]
% multiply(inverse(inverse(X)),Y) <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(c,inverse(multiply(
% multiply(
% inverse(Y),c),
% inverse(
% multiply(
% inverse(c),c)))))))) is composed into
% [47]
% multiply(inverse(inverse(X)),Y) <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,inverse(multiply(c,
% inverse(c)))))))
% Rule [46]
% multiply(inverse(inverse(X)),W) <->
% multiply(inverse(X),multiply(X,multiply(X,multiply(Y,inverse(multiply(
% multiply(
% inverse(W),Z),
% inverse(
% multiply(
% inverse(Y),Z)))))))) is composed into
% [46]
% multiply(inverse(inverse(X)),W) <->
% multiply(inverse(X),multiply(X,multiply(X,multiply(W,inverse(multiply(Z,
% inverse(Z)))))))
% Rule [44]
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))) <->
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(Y),Y),inverse(
% multiply(
% inverse(X),Y)))))) is composed into
% [44]
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))) <->
% multiply(X,multiply(Y,inverse(multiply(c,inverse(c)))))
% Rule [12]
% multiply(X,inverse(multiply(Y,inverse(Y)))) <->
% multiply(c,inverse(multiply(multiply(inverse(X),c),inverse(multiply(
% inverse(c),c))))) is composed into
% [12]
% multiply(X,inverse(multiply(Y,inverse(Y)))) <->
% multiply(X,inverse(multiply(c,inverse(c))))
% Rule [7]
% inverse(multiply(multiply(inverse(multiply(inverse(Z),Y)),V_4),inverse(
% multiply(Z,V_4))))
% <->
% multiply(X,inverse(multiply(multiply(inverse(Y),W),inverse(multiply(
% inverse(X),W))))) is composed into
% [7]
% inverse(multiply(multiply(inverse(multiply(inverse(Z),Y)),V_4),inverse(
% multiply(Z,V_4))))
% -> multiply(Y,inverse(multiply(c,inverse(c))))
% New rule produced :
% [77]
% multiply(X,inverse(multiply(multiply(inverse(Y),W),inverse(multiply(inverse(X),W)))))
% <-> multiply(Y,inverse(multiply(Z,inverse(Z))))
% Rule
% [9]
% multiply(inverse(X),multiply(X,multiply(c,inverse(multiply(multiply(inverse(W),c),
% inverse(multiply(inverse(c),c)))))))
% -> W collapsed.
% Rule
% [17]
% multiply(inverse(X),multiply(X,multiply(X,inverse(multiply(multiply(inverse(Y),Y),
% inverse(multiply(inverse(X),Y)))))))
% -> Y collapsed.
% Rule
% [18]
% multiply(inverse(X),multiply(X,multiply(c,multiply(Y,inverse(multiply(
% multiply(
% inverse(W),Z),
% inverse(
% multiply(
% inverse(Y),Z))))))))
% -> multiply(inverse(inverse(c)),W) collapsed.
% Rule
% [26]
% multiply(inverse(c),multiply(c,multiply(Y,inverse(multiply(multiply(inverse(X),X),
% inverse(multiply(inverse(Y),X)))))))
% -> X collapsed.
% Rule
% [27]
% multiply(inverse(Y),multiply(Y,multiply(inverse(c),inverse(multiply(multiply(
% inverse(X),X),
% inverse(multiply(
% inverse(
% inverse(c)),X)))))))
% -> X collapsed.
% Rule
% [34]
% multiply(inverse(X),multiply(c,inverse(multiply(multiply(inverse(X),c),
% inverse(multiply(inverse(c),c))))))
% <-> multiply(inverse(c),multiply(c,inverse(multiply(Y,inverse(Y)))))
% collapsed.
% Rule
% [43]
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(Y),Y),inverse(
% multiply(
% inverse(X),Y))))))
% -> multiply(X,multiply(Y,inverse(multiply(c,inverse(c))))) collapsed.
% Rule
% [45]
% multiply(inverse(X),multiply(X,multiply(X,multiply(Y,inverse(multiply(
% multiply(
% inverse(W),Z),
% inverse(
% multiply(
% inverse(Y),Z))))))))
% <-> multiply(inverse(inverse(X)),W) collapsed.
% Rule
% [48]
% multiply(inverse(c),multiply(c,multiply(X,multiply(c,inverse(multiply(
% multiply(
% inverse(Y),c),
% inverse(
% multiply(
% inverse(c),c))))))))
% <-> multiply(inverse(inverse(X)),Y) collapsed.
% Rule
% [50]
% multiply(Z,inverse(multiply(multiply(inverse(multiply(W,X)),V_4),inverse(
% multiply(
% inverse(Z),V_4)))))
% <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),Y),
% inverse(multiply(W,Y)))) collapsed.
% Rule
% [54]
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,Y))),W),
% inverse(multiply(inverse(X),W))))) -> Y collapsed.
% Rule
% [56]
% multiply(X,inverse(multiply(multiply(inverse(Y),W),inverse(multiply(inverse(X),W)))))
% <->
% multiply(c,inverse(multiply(multiply(inverse(Y),c),inverse(multiply(inverse(c),c)))))
% collapsed.
% Rule
% [57]
% multiply(c,inverse(multiply(multiply(inverse(Y),c),inverse(multiply(inverse(c),c)))))
% <->
% multiply(X,inverse(multiply(multiply(inverse(Y),W),inverse(multiply(inverse(X),W)))))
% collapsed.
% Rule
% [66]
% multiply(X,multiply(Y,inverse(multiply(multiply(inverse(multiply(inverse(X),W)),Z),
% inverse(multiply(inverse(Y),Z)))))) -> W
% collapsed.
% Rule
% [70]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(inverse(
% multiply(W,Z)),V_4),
% inverse(multiply(inverse(Y),V_4)))))))
% -> multiply(W,Z) collapsed.
% Current number of equations to process: 1109
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [78]
% multiply(multiply(inverse(c),multiply(c,Y)),inverse(multiply(c,inverse(c))))
% -> Y
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [79]
% multiply(X,multiply(multiply(inverse(X),W),inverse(multiply(Z,inverse(Z)))))
% -> W
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [80]
% multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,inverse(W))))
% -> Y
% Rule
% [78]
% multiply(multiply(inverse(c),multiply(c,Y)),inverse(multiply(c,inverse(c))))
% -> Y collapsed.
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [81]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,multiply(Y,W)))),Z),
% inverse(multiply(inverse(Y),Z)))) -> W
% Rule
% [55]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,multiply(Y,X)))),W),
% inverse(multiply(inverse(Y),W)))) -> X collapsed.
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [82]
% inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(inverse(W)),Y))))
% <->
% multiply(W,multiply(multiply(X,inverse(multiply(Z,inverse(Z)))),inverse(
% multiply(V_4,
% inverse(V_4)))))
% Current number of equations to process: 1159
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [83]
% multiply(W,multiply(multiply(X,inverse(multiply(Z,inverse(Z)))),inverse(
% multiply(V_4,
% inverse(V_4)))))
% <->
% inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(inverse(W)),Y))))
% Current number of equations to process: 1159
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [84]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(
% inverse(Y),
% multiply(Y,W))),Z),
% inverse(multiply(V_4,Z)))))) <->
% multiply(V_4,W)
% Rule
% [52]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(
% inverse(c),
% multiply(c,Y))),W),
% inverse(multiply(Z,W)))))) <->
% multiply(Z,Y) collapsed.
% Current number of equations to process: 1158
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [85]
% multiply(X,multiply(Y,inverse(multiply(Z,inverse(Z))))) <->
% multiply(multiply(inverse(inverse(X)),Y),inverse(multiply(W,inverse(W))))
% Current number of equations to process: 1163
% Current number of ordered equations: 1
% Current number of rules: 34
% Rule [85]
% multiply(X,multiply(Y,inverse(multiply(Z,inverse(Z))))) <->
% multiply(multiply(inverse(inverse(X)),Y),inverse(multiply(W,inverse(W)))) is composed into
% [85]
% multiply(X,multiply(Y,inverse(multiply(Z,inverse(Z))))) <->
% multiply(X,multiply(Y,inverse(multiply(c,inverse(c)))))
% New rule produced :
% [86]
% multiply(multiply(inverse(inverse(X)),Y),inverse(multiply(W,inverse(W)))) <->
% multiply(X,multiply(Y,inverse(multiply(Z,inverse(Z)))))
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [87]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(inverse(inverse(Z)),W)))) <->
% multiply(Z,multiply(Y,inverse(multiply(V_4,inverse(V_4)))))
% Rule
% [58]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,Y))),Z),
% inverse(multiply(inverse(inverse(X)),Z)))) <->
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))) collapsed.
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [88]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(Y,
% inverse(Y)))))) ->
% multiply(X,inverse(multiply(c,inverse(c))))
% Current number of equations to process: 1197
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [89]
% inverse(multiply(multiply(X,inverse(X)),inverse(multiply(c,inverse(c))))) ->
% inverse(multiply(c,inverse(c)))
% Current number of equations to process: 1204
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [90]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),X),inverse(
% multiply(Y,X))))
% <-> multiply(inverse(inverse(Y)),inverse(multiply(c,inverse(c))))
% Current number of equations to process: 1213
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [91]
% multiply(inverse(inverse(Y)),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),X),inverse(
% multiply(Y,X))))
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [92]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(X))))) ->
% inverse(multiply(c,inverse(c)))
% Rule
% [88]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(Y,
% inverse(Y)))))) ->
% multiply(X,inverse(multiply(c,inverse(c)))) collapsed.
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [93]
% multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),X),inverse(
% multiply(Y,
% inverse(Y))))
% -> inverse(multiply(c,inverse(c)))
% Current number of equations to process: 1220
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [94]
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(c,inverse(c)),
% multiply(Y,inverse(multiply(W,
% inverse(W))))))
% -> Y
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [95]
% inverse(multiply(multiply(inverse(multiply(inverse(c),X)),inverse(c)),
% inverse(multiply(Y,inverse(Y))))) ->
% multiply(X,inverse(multiply(c,inverse(c))))
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [96]
% multiply(inverse(multiply(c,inverse(c))),multiply(multiply(X,inverse(X)),
% multiply(Y,inverse(multiply(W,
% inverse(W))))))
% -> Y
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [97]
% inverse(multiply(multiply(inverse(multiply(inverse(X),Y)),inverse(X)),
% inverse(multiply(c,inverse(c))))) ->
% multiply(Y,inverse(multiply(c,inverse(c))))
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [98]
% multiply(inverse(inverse(multiply(X,inverse(X)))),Y) <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),multiply(Y,
% inverse(
% multiply(W,
% inverse(W)))))))
% Current number of equations to process: 1287
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [99]
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),multiply(Y,
% inverse(
% multiply(W,
% inverse(W)))))))
% <-> multiply(inverse(inverse(multiply(X,inverse(X)))),Y)
% Current number of equations to process: 1287
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [100]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(c,inverse(c)),
% inverse(multiply(Y,inverse(Y)))))
% Current number of equations to process: 1286
% Current number of ordered equations: 1
% Current number of rules: 47
% Rule [100]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(c,inverse(c)),
% inverse(multiply(Y,inverse(Y))))) is composed into
% [100]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(c,inverse(c)))))
% New rule produced :
% [101]
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(c,inverse(c)),
% inverse(multiply(Y,inverse(Y)))))
% <-> multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W)))))
% Current number of equations to process: 1286
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [102]
% multiply(inverse(c),multiply(c,multiply(multiply(Y,inverse(Y)),multiply(X,
% inverse(
% multiply(W,
% inverse(W)))))))
% <-> multiply(inverse(inverse(multiply(c,inverse(c)))),X)
% Current number of equations to process: 1283
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [103]
% multiply(inverse(inverse(multiply(c,inverse(c)))),X) <->
% multiply(inverse(c),multiply(c,multiply(multiply(Y,inverse(Y)),multiply(X,
% inverse(
% multiply(W,
% inverse(W)))))))
% Current number of equations to process: 1283
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [104]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(multiply(c,inverse(c))),multiply(multiply(X,inverse(X)),
% inverse(multiply(Y,inverse(Y)))))
% Current number of equations to process: 1282
% Current number of ordered equations: 1
% Current number of rules: 51
% Rule [104]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(multiply(c,inverse(c))),multiply(multiply(X,inverse(X)),
% inverse(multiply(Y,inverse(Y))))) is composed into
% [104]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(c,inverse(c)))))
% New rule produced :
% [105]
% multiply(inverse(multiply(c,inverse(c))),multiply(multiply(X,inverse(X)),
% inverse(multiply(Y,inverse(Y)))))
% <-> multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W)))))
% Current number of equations to process: 1282
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [106]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),
% inverse(Y)),inverse(multiply(c,inverse(c))))) <->
% multiply(multiply(Y,X),inverse(multiply(W,inverse(W))))
% Current number of equations to process: 1278
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [107]
% multiply(multiply(Y,X),inverse(multiply(W,inverse(W)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),
% inverse(Y)),inverse(multiply(c,inverse(c)))))
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [108]
% multiply(W,multiply(Y,inverse(multiply(Z,inverse(Z))))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),inverse(W)),
% inverse(multiply(c,inverse(c)))))))
% Current number of equations to process: 1277
% Current number of ordered equations: 1
% Current number of rules: 55
% Rule [108]
% multiply(W,multiply(Y,inverse(multiply(Z,inverse(Z))))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),
% inverse(W)),inverse(
% multiply(c,
% inverse(c))))))) is composed into
% [108]
% multiply(W,multiply(Y,inverse(multiply(Z,inverse(Z))))) <->
% multiply(W,multiply(Y,inverse(multiply(c,inverse(c)))))
% New rule produced :
% [109]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),inverse(W)),
% inverse(multiply(c,inverse(c)))))))
% <-> multiply(W,multiply(Y,inverse(multiply(Z,inverse(Z)))))
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [110]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),inverse(c)),
% inverse(multiply(W,inverse(W)))))))
% <-> multiply(c,multiply(Y,inverse(multiply(Z,inverse(Z)))))
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [111]
% inverse(multiply(multiply(inverse(X),Y),inverse(multiply(W,Y)))) <->
% inverse(multiply(multiply(inverse(X),Z),inverse(multiply(W,Z))))
% Current number of equations to process: 1295
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [112] multiply(X,inverse(X)) <-> multiply(c,inverse(c))
% Rule
% [12]
% multiply(X,inverse(multiply(Y,inverse(Y)))) <->
% multiply(X,inverse(multiply(c,inverse(c)))) collapsed.
% Rule
% [44]
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))) <->
% multiply(X,multiply(Y,inverse(multiply(c,inverse(c))))) collapsed.
% Rule [65] inverse(multiply(X,inverse(X))) <-> inverse(multiply(c,inverse(c)))
% collapsed.
% Rule
% [85]
% multiply(X,multiply(Y,inverse(multiply(Z,inverse(Z))))) <->
% multiply(X,multiply(Y,inverse(multiply(c,inverse(c))))) collapsed.
% Rule
% [100]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(c,inverse(c))))) collapsed.
% Rule
% [104]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(c,inverse(c))))) collapsed.
% Rule
% [108]
% multiply(W,multiply(Y,inverse(multiply(Z,inverse(Z))))) <->
% multiply(W,multiply(Y,inverse(multiply(c,inverse(c))))) collapsed.
% Current number of equations to process: 1325
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced : [113] multiply(c,inverse(c)) <-> multiply(X,inverse(X))
% Rule [64] inverse(multiply(c,inverse(c))) <-> inverse(multiply(X,inverse(X)))
% collapsed.
% Current number of equations to process: 1325
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [114]
% multiply(inverse(Y),multiply(Y,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(c,inverse(c)))))
% Current number of equations to process: 1349
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [115]
% multiply(inverse(X),multiply(X,inverse(multiply(c,inverse(c))))) <->
% multiply(inverse(Y),multiply(Y,inverse(multiply(W,inverse(W)))))
% Current number of equations to process: 1349
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [116]
% multiply(inverse(W),multiply(W,multiply(inverse(Z),multiply(Z,Y)))) <->
% multiply(inverse(c),multiply(c,multiply(inverse(X),multiply(X,Y))))
% Current number of equations to process: 1365
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [117]
% multiply(inverse(c),multiply(c,multiply(inverse(X),multiply(X,Y)))) <->
% multiply(inverse(W),multiply(W,multiply(inverse(Z),multiply(Z,Y))))
% Current number of equations to process: 1365
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [118]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W)))) <->
% multiply(multiply(Z,Y),inverse(multiply(c,inverse(c))))
% Rule
% [81]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,multiply(Y,W)))),Z),
% inverse(multiply(inverse(Y),Z)))) -> W collapsed.
% Current number of equations to process: 1391
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [119]
% multiply(multiply(Z,Y),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W))))
% Current number of equations to process: 1391
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [120]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W)))) <->
% multiply(multiply(Z,Y),inverse(multiply(V_4,inverse(V_4))))
% Rule
% [49]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),Y),
% inverse(multiply(W,Y)))) <->
% multiply(multiply(W,X),inverse(multiply(Z,inverse(Z)))) collapsed.
% Rule
% [118]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W)))) <->
% multiply(multiply(Z,Y),inverse(multiply(c,inverse(c)))) collapsed.
% Current number of equations to process: 1390
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [121]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(
% inverse(W),Z),Y)))))
% -> multiply(Z,inverse(multiply(c,inverse(c))))
% Current number of equations to process: 1399
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [122]
% multiply(inverse(inverse(c)),multiply(X,inverse(multiply(Y,inverse(Y))))) <->
% multiply(inverse(inverse(c)),multiply(X,inverse(multiply(W,inverse(W)))))
% Current number of equations to process: 1438
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [123]
% multiply(X,inverse(multiply(Y,inverse(Y)))) <->
% multiply(X,inverse(multiply(W,inverse(W))))
% Rule
% [62]
% multiply(c,multiply(X,inverse(multiply(Y,inverse(Y))))) <->
% multiply(c,multiply(X,inverse(multiply(W,inverse(W))))) collapsed.
% Rule
% [122]
% multiply(inverse(inverse(c)),multiply(X,inverse(multiply(Y,inverse(Y))))) <->
% multiply(inverse(inverse(c)),multiply(X,inverse(multiply(W,inverse(W)))))
% collapsed.
% Current number of equations to process: 1443
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [124] inverse(multiply(Y,inverse(Y))) <-> inverse(multiply(X,inverse(X)))
% Rule
% [123]
% multiply(X,inverse(multiply(Y,inverse(Y)))) <->
% multiply(X,inverse(multiply(W,inverse(W)))) collapsed.
% Current number of equations to process: 1475
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [125]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(multiply(inverse(X),multiply(X,Y))),Y)
% Current number of equations to process: 1474
% Current number of ordered equations: 1
% Current number of rules: 58
% Rule [125]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(multiply(inverse(X),multiply(X,Y))),Y) is composed into
% [125]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(c,inverse(c)))))
% New rule produced :
% [126]
% multiply(inverse(multiply(inverse(X),multiply(X,Y))),Y) <->
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W)))))
% Rule
% [93]
% multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),X),inverse(
% multiply(Y,
% inverse(Y))))
% -> inverse(multiply(c,inverse(c))) collapsed.
% Current number of equations to process: 1474
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [127]
% inverse(multiply(multiply(inverse(Y),V_4),inverse(multiply(X,V_4)))) <->
% multiply(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))),inverse(
% multiply(Z,
% inverse(Z))))
% Rule
% [7]
% inverse(multiply(multiply(inverse(multiply(inverse(Z),Y)),V_4),inverse(
% multiply(Z,V_4))))
% -> multiply(Y,inverse(multiply(c,inverse(c)))) collapsed.
% Current number of equations to process: 1478
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [128]
% multiply(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))),inverse(
% multiply(Z,
% inverse(Z))))
% <-> inverse(multiply(multiply(inverse(Y),V_4),inverse(multiply(X,V_4))))
% Current number of equations to process: 1478
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [129]
% multiply(Y,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(X,inverse(multiply(multiply(inverse(Y),multiply(X,W)),inverse(
% multiply(
% inverse(Z),
% multiply(Z,W))))))
% Current number of equations to process: 1483
% Current number of ordered equations: 3
% Current number of rules: 60
% New rule produced :
% [130]
% multiply(X,inverse(multiply(multiply(inverse(Y),multiply(Y,W)),inverse(
% multiply(
% inverse(X),
% multiply(Z,W))))))
% <-> multiply(Z,inverse(multiply(V_4,inverse(V_4))))
% Current number of equations to process: 1483
% Current number of ordered equations: 2
% Current number of rules: 61
% Rule [129]
% multiply(Y,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(X,inverse(multiply(multiply(inverse(Y),multiply(X,W)),inverse(
% multiply(
% inverse(Z),
% multiply(Z,W)))))) is composed into
% [129]
% multiply(Y,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(Y,inverse(multiply(c,inverse(c))))
% New rule produced :
% [131]
% multiply(X,inverse(multiply(multiply(inverse(Y),multiply(X,W)),inverse(
% multiply(
% inverse(Z),
% multiply(Z,W))))))
% <-> multiply(Y,inverse(multiply(V_4,inverse(V_4))))
% Current number of equations to process: 1483
% Current number of ordered equations: 1
% Current number of rules: 62
% Rule [107]
% multiply(multiply(Y,X),inverse(multiply(W,inverse(W)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),
% inverse(Y)),inverse(multiply(c,inverse(c))))) is composed into
% [107]
% multiply(multiply(Y,X),inverse(multiply(W,inverse(W)))) <->
% inverse(multiply(c,inverse(multiply(multiply(inverse(c),multiply(c,c)),
% inverse(multiply(inverse(c),multiply(multiply(
% inverse(
% multiply(
% inverse(c),
% multiply(c,X))),
% inverse(Y)),c)))))))
% New rule produced :
% [132]
% multiply(Z,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(X,inverse(multiply(multiply(inverse(Y),multiply(Y,W)),inverse(
% multiply(
% inverse(X),
% multiply(Z,W))))))
% Rule
% [86]
% multiply(multiply(inverse(inverse(X)),Y),inverse(multiply(W,inverse(W)))) <->
% multiply(X,multiply(Y,inverse(multiply(Z,inverse(Z))))) collapsed.
% Rule
% [95]
% inverse(multiply(multiply(inverse(multiply(inverse(c),X)),inverse(c)),
% inverse(multiply(Y,inverse(Y))))) ->
% multiply(X,inverse(multiply(c,inverse(c)))) collapsed.
% Rule
% [97]
% inverse(multiply(multiply(inverse(multiply(inverse(X),Y)),inverse(X)),
% inverse(multiply(c,inverse(c))))) ->
% multiply(Y,inverse(multiply(c,inverse(c)))) collapsed.
% Rule
% [106]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),
% inverse(Y)),inverse(multiply(c,inverse(c))))) <->
% multiply(multiply(Y,X),inverse(multiply(W,inverse(W)))) collapsed.
% Current number of equations to process: 1487
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [133]
% multiply(W,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(X,inverse(multiply(Y,inverse(multiply(inverse(X),multiply(W,
% multiply(Y,
% inverse(multiply(Z,
% inverse(Z))))))))))
% Current number of equations to process: 1485
% Current number of ordered equations: 3
% Current number of rules: 60
% New rule produced :
% [134]
% multiply(Y,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(X,inverse(multiply(multiply(inverse(Y),multiply(X,multiply(W,
% inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W))))
% Current number of equations to process: 1485
% Current number of ordered equations: 2
% Current number of rules: 61
% Rule [134]
% multiply(Y,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(X,inverse(multiply(multiply(inverse(Y),multiply(X,multiply(W,
% inverse(
% multiply(Z,
% inverse(Z)))))),
% inverse(W)))) is composed into [134]
% multiply(Y,inverse(
% multiply(V_4,
% inverse(V_4))))
% <->
% multiply(Y,inverse(
% multiply(c,
% inverse(c))))
% New rule produced :
% [135]
% multiply(X,inverse(multiply(multiply(inverse(Y),multiply(X,multiply(W,
% inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W)))) <->
% multiply(Y,inverse(multiply(V_4,inverse(V_4))))
% Current number of equations to process: 1485
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [136]
% multiply(X,inverse(multiply(Y,inverse(multiply(inverse(X),multiply(W,
% multiply(Y,
% inverse(multiply(Z,
% inverse(Z))))))))))
% <-> multiply(W,inverse(multiply(V_4,inverse(V_4))))
% Current number of equations to process: 1485
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [137]
% multiply(multiply(X,inverse(X)),inverse(multiply(c,inverse(c)))) ->
% multiply(c,inverse(c))
% Rule
% [89]
% inverse(multiply(multiply(X,inverse(X)),inverse(multiply(c,inverse(c))))) ->
% inverse(multiply(c,inverse(c))) collapsed.
% Current number of equations to process: 1740
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [138]
% multiply(X,multiply(inverse(inverse(inverse(X))),inverse(multiply(c,inverse(c)))))
% <-> multiply(multiply(c,inverse(c)),inverse(multiply(Y,inverse(Y))))
% Current number of equations to process: 1746
% Current number of ordered equations: 1
% Current number of rules: 64
% Rule [138]
% multiply(X,multiply(inverse(inverse(inverse(X))),inverse(multiply(c,
% inverse(c)))))
% <-> multiply(multiply(c,inverse(c)),inverse(multiply(Y,inverse(Y)))) is composed into
% [138]
% multiply(X,multiply(inverse(inverse(inverse(X))),inverse(multiply(c,inverse(c)))))
% <->
% multiply(c,multiply(inverse(inverse(inverse(c))),inverse(multiply(c,inverse(c)))))
% New rule produced :
% [139]
% multiply(multiply(c,inverse(c)),inverse(multiply(Y,inverse(Y)))) <->
% multiply(X,multiply(inverse(inverse(inverse(X))),inverse(multiply(c,inverse(c)))))
% Rule
% [92]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(X))))) ->
% inverse(multiply(c,inverse(c))) collapsed.
% Rule
% [101]
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(c,inverse(c)),
% inverse(multiply(Y,inverse(Y)))))
% <-> multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W)))))
% collapsed.
% Current number of equations to process: 1748
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [140]
% inverse(multiply(c,multiply(inverse(inverse(inverse(c))),inverse(multiply(c,
% inverse(c))))))
% -> inverse(multiply(c,inverse(c)))
% Current number of equations to process: 1747
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [141]
% inverse(multiply(multiply(X,inverse(X)),inverse(multiply(inverse(Y),multiply(Y,
% multiply(c,
% inverse(c)))))))
% -> inverse(multiply(c,inverse(c)))
% Current number of equations to process: 1746
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [142]
% multiply(X,multiply(c,multiply(inverse(inverse(inverse(c))),inverse(multiply(c,
% inverse(c))))))
% -> inverse(inverse(X))
% Current number of equations to process: 1776
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [143]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(c,
% inverse(c))),Y),
% inverse(multiply(W,Y)))))) ->
% inverse(inverse(W))
% Current number of equations to process: 1825
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [144]
% multiply(inverse(W),multiply(W,Y)) <->
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(c,inverse(c)),Y))
% Current number of equations to process: 1860
% Current number of ordered equations: 1
% Current number of rules: 68
% Rule [144]
% multiply(inverse(W),multiply(W,Y)) <->
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(c,inverse(c)),Y)) is composed into
% [144]
% multiply(inverse(W),multiply(W,Y)) <-> multiply(inverse(c),multiply(c,Y))
% New rule produced :
% [145]
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(c,inverse(c)),Y))
% <-> multiply(inverse(W),multiply(W,Y))
% Rule
% [94]
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(c,inverse(c)),
% multiply(Y,inverse(multiply(W,
% inverse(W))))))
% -> Y collapsed.
% Current number of equations to process: 1860
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [146]
% multiply(inverse(X),multiply(X,Y)) <->
% multiply(inverse(inverse(inverse(multiply(W,inverse(W))))),multiply(inverse(
% inverse(
% multiply(c,
% inverse(c)))),Y))
% Current number of equations to process: 1859
% Current number of ordered equations: 1
% Current number of rules: 69
% Rule [146]
% multiply(inverse(X),multiply(X,Y)) <->
% multiply(inverse(inverse(inverse(multiply(W,inverse(W))))),multiply(
% inverse(
% inverse(
% multiply(c,
% inverse(c)))),Y)) is composed into
% [146]
% multiply(inverse(X),multiply(X,Y)) <-> multiply(inverse(c),multiply(c,Y))
% New rule produced :
% [147]
% multiply(inverse(inverse(inverse(multiply(W,inverse(W))))),multiply(inverse(
% inverse(
% multiply(c,
% inverse(c)))),Y))
% <-> multiply(inverse(X),multiply(X,Y))
% Current number of equations to process: 1859
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [148]
% multiply(inverse(W),multiply(W,Y)) <->
% multiply(inverse(multiply(c,inverse(c))),multiply(multiply(X,inverse(X)),Y))
% Current number of equations to process: 1874
% Current number of ordered equations: 1
% Current number of rules: 71
% Rule [148]
% multiply(inverse(W),multiply(W,Y)) <->
% multiply(inverse(multiply(c,inverse(c))),multiply(multiply(X,inverse(X)),Y)) is composed into
% [148]
% multiply(inverse(W),multiply(W,Y)) <-> multiply(inverse(c),multiply(c,Y))
% New rule produced :
% [149]
% multiply(inverse(multiply(c,inverse(c))),multiply(multiply(X,inverse(X)),Y))
% <-> multiply(inverse(W),multiply(W,Y))
% Rule
% [96]
% multiply(inverse(multiply(c,inverse(c))),multiply(multiply(X,inverse(X)),
% multiply(Y,inverse(multiply(W,
% inverse(W))))))
% -> Y collapsed.
% Rule
% [105]
% multiply(inverse(multiply(c,inverse(c))),multiply(multiply(X,inverse(X)),
% inverse(multiply(Y,inverse(Y)))))
% <-> multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W)))))
% collapsed.
% Current number of equations to process: 1874
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [150]
% multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),multiply(inverse(
% inverse(
% multiply(W,
% inverse(W)))),Y))
% <-> multiply(inverse(X),multiply(X,Y))
% Current number of equations to process: 1873
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [151]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <->
% multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),multiply(Y,multiply(c,
% inverse(c))))))
% Current number of equations to process: 1872
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [152]
% multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),multiply(Y,multiply(c,
% inverse(c))))))
% <->
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% Current number of equations to process: 1872
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [153]
% multiply(inverse(inverse(multiply(X,inverse(X)))),Y) <->
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% Rule
% [98]
% multiply(inverse(inverse(multiply(X,inverse(X)))),Y) <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),multiply(Y,
% inverse(
% multiply(W,
% inverse(W)))))))
% collapsed.
% Current number of equations to process: 1870
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [154]
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(inverse(inverse(multiply(X,inverse(X)))),Y)
% Rule
% [99]
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),multiply(Y,
% inverse(
% multiply(W,
% inverse(W)))))))
% <-> multiply(inverse(inverse(multiply(X,inverse(X)))),Y) collapsed.
% Current number of equations to process: 1870
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(inverse(inverse(multiply(c,inverse(c)))),X)
% Rule
% [102]
% multiply(inverse(c),multiply(c,multiply(multiply(Y,inverse(Y)),multiply(X,
% inverse(
% multiply(W,
% inverse(W)))))))
% <-> multiply(inverse(inverse(multiply(c,inverse(c)))),X) collapsed.
% Current number of equations to process: 1869
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [156]
% multiply(inverse(inverse(multiply(c,inverse(c)))),X) <->
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% Rule
% [103]
% multiply(inverse(inverse(multiply(c,inverse(c)))),X) <->
% multiply(inverse(c),multiply(c,multiply(multiply(Y,inverse(Y)),multiply(X,
% inverse(
% multiply(W,
% inverse(W)))))))
% collapsed.
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% <-> multiply(inverse(inverse(W)),inverse(multiply(c,inverse(c))))
% Current number of equations to process: 1875
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [158]
% multiply(inverse(inverse(W)),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% Current number of equations to process: 1875
% Current number of ordered equations: 0
% Current number of rules: 75
% Rule [139]
% multiply(multiply(c,inverse(c)),inverse(multiply(Y,inverse(Y)))) <->
% multiply(X,multiply(inverse(inverse(inverse(X))),inverse(multiply(c,
% inverse(c))))) is composed into
% [139]
% multiply(multiply(c,inverse(c)),inverse(multiply(Y,inverse(Y)))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(inverse(inverse(X)),multiply(
% inverse(X),
% inverse(
% multiply(c,
% inverse(c))))))))
% New rule produced :
% [159]
% multiply(W,multiply(inverse(Y),inverse(multiply(Z,inverse(Z))))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(Y,multiply(inverse(W),
% inverse(multiply(c,
% inverse(c))))))))
% Rule
% [138]
% multiply(X,multiply(inverse(inverse(inverse(X))),inverse(multiply(c,inverse(c)))))
% <->
% multiply(c,multiply(inverse(inverse(inverse(c))),inverse(multiply(c,inverse(c)))))
% collapsed.
% Rule
% [140]
% inverse(multiply(c,multiply(inverse(inverse(inverse(c))),inverse(multiply(c,
% inverse(c))))))
% -> inverse(multiply(c,inverse(c))) collapsed.
% Rule
% [142]
% multiply(X,multiply(c,multiply(inverse(inverse(inverse(c))),inverse(multiply(c,
% inverse(c))))))
% -> inverse(inverse(X)) collapsed.
% Current number of equations to process: 1938
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [160]
% multiply(inverse(X),multiply(X,inverse(multiply(Y,multiply(inverse(W),
% inverse(multiply(c,
% inverse(c))))))))
% <-> multiply(W,multiply(inverse(Y),inverse(multiply(Z,inverse(Z)))))
% Current number of equations to process: 1938
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [161]
% multiply(W,multiply(inverse(Y),inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(Y,multiply(inverse(W),
% inverse(multiply(Z,
% inverse(Z))))))))
% Rule
% [159]
% multiply(W,multiply(inverse(Y),inverse(multiply(Z,inverse(Z))))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(Y,multiply(inverse(W),
% inverse(multiply(c,
% inverse(c))))))))
% collapsed.
% Current number of equations to process: 1937
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [162]
% multiply(inverse(X),multiply(X,inverse(multiply(Y,multiply(inverse(W),
% inverse(multiply(Z,
% inverse(Z))))))))
% <-> multiply(W,multiply(inverse(Y),inverse(multiply(V_4,inverse(V_4)))))
% Rule
% [160]
% multiply(inverse(X),multiply(X,inverse(multiply(Y,multiply(inverse(W),
% inverse(multiply(c,
% inverse(c))))))))
% <-> multiply(W,multiply(inverse(Y),inverse(multiply(Z,inverse(Z)))))
% collapsed.
% Current number of equations to process: 1937
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [163]
% inverse(multiply(inverse(c),multiply(c,inverse(multiply(inverse(c),multiply(c,
% inverse(
% multiply(c,
% inverse(c)))))))))
% -> inverse(multiply(c,inverse(c)))
% Current number of equations to process: 1938
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [164]
% multiply(X,multiply(inverse(c),multiply(c,inverse(multiply(inverse(c),
% multiply(c,inverse(
% multiply(c,
% inverse(c)))))))))
% -> inverse(inverse(X))
% Current number of equations to process: 1937
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [165]
% inverse(multiply(multiply(inverse(Y),inverse(X)),inverse(multiply(c,inverse(c)))))
% <->
% multiply(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))),inverse(
% multiply(Z,
% inverse(Z))))
% Current number of equations to process: 1943
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [166]
% multiply(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))),inverse(
% multiply(Z,
% inverse(Z))))
% <->
% inverse(multiply(multiply(inverse(Y),inverse(X)),inverse(multiply(c,inverse(c)))))
% Current number of equations to process: 1943
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [167]
% inverse(multiply(multiply(inverse(X),inverse(c)),inverse(multiply(Z,inverse(Z)))))
% <->
% multiply(multiply(c,multiply(X,inverse(multiply(Y,inverse(Y))))),inverse(
% multiply(W,
% inverse(W))))
% Rule
% [110]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),inverse(c)),
% inverse(multiply(W,inverse(W)))))))
% <-> multiply(c,multiply(Y,inverse(multiply(Z,inverse(Z))))) collapsed.
% Current number of equations to process: 1969
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [168]
% multiply(multiply(inverse(X),Y),inverse(multiply(W,Y))) <->
% multiply(multiply(inverse(X),Z),inverse(multiply(W,Z)))
% Rule
% [111]
% inverse(multiply(multiply(inverse(X),Y),inverse(multiply(W,Y)))) <->
% inverse(multiply(multiply(inverse(X),Z),inverse(multiply(W,Z)))) collapsed.
% Current number of equations to process: 2024
% Current number of ordered equations: 0
% Current number of rules: 78
% Rule [151]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <->
% multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),multiply(Y,
% multiply(c,
% inverse(c)))))) is composed into
% [151]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <-> multiply(inverse(inverse(X)),inverse(multiply(c,inverse(c))))
% New rule produced :
% [169]
% multiply(inverse(X),multiply(X,multiply(c,inverse(c)))) ->
% multiply(c,inverse(c))
% Rule
% [141]
% inverse(multiply(multiply(X,inverse(X)),inverse(multiply(inverse(Y),multiply(Y,
% multiply(c,
% inverse(c)))))))
% -> inverse(multiply(c,inverse(c))) collapsed.
% Rule
% [152]
% multiply(inverse(inverse(X)),inverse(multiply(inverse(Y),multiply(Y,multiply(c,
% inverse(c))))))
% <->
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% collapsed.
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [170]
% multiply(inverse(inverse(X)),multiply(c,inverse(c))) ->
% multiply(inverse(c),multiply(c,inverse(inverse(X))))
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [171]
% multiply(inverse(X),multiply(c,inverse(c))) <->
% multiply(inverse(Y),multiply(Y,inverse(X)))
% Rule
% [170]
% multiply(inverse(inverse(X)),multiply(c,inverse(c))) ->
% multiply(inverse(c),multiply(c,inverse(inverse(X)))) collapsed.
% Current number of equations to process: 2034
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [172]
% multiply(inverse(Y),multiply(Y,inverse(X))) <->
% multiply(inverse(X),multiply(c,inverse(c)))
% Current number of equations to process: 2034
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [173]
% multiply(multiply(inverse(X),multiply(c,inverse(c))),inverse(multiply(Y,
% inverse(Y)))) ->
% inverse(X)
% Current number of equations to process: 2054
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [174]
% multiply(inverse(Y),multiply(Y,inverse(c))) <->
% multiply(inverse(c),multiply(X,inverse(X)))
% Current number of equations to process: 2055
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [175]
% multiply(inverse(c),multiply(X,inverse(X))) <->
% multiply(inverse(Y),multiply(Y,inverse(c)))
% Current number of equations to process: 2055
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [176]
% multiply(multiply(inverse(c),multiply(X,inverse(X))),inverse(multiply(Y,
% inverse(Y)))) ->
% inverse(c)
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [177]
% multiply(inverse(X),multiply(X,multiply(c,multiply(c,inverse(c))))) <->
% multiply(inverse(inverse(c)),multiply(Y,inverse(Y)))
% Current number of equations to process: 2061
% Current number of ordered equations: 1
% Current number of rules: 84
% Rule [177]
% multiply(inverse(X),multiply(X,multiply(c,multiply(c,inverse(c))))) <->
% multiply(inverse(inverse(c)),multiply(Y,inverse(Y))) is composed into
% [177]
% multiply(inverse(X),multiply(X,multiply(c,multiply(c,inverse(c))))) <->
% multiply(inverse(c),multiply(c,multiply(c,multiply(c,inverse(c)))))
% New rule produced :
% [178]
% multiply(inverse(inverse(c)),multiply(Y,inverse(Y))) <->
% multiply(inverse(X),multiply(X,multiply(c,multiply(c,inverse(c)))))
% Current number of equations to process: 2061
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [179]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(c,inverse(c))))) <->
% multiply(inverse(inverse(Y)),multiply(W,inverse(W)))
% Current number of equations to process: 2060
% Current number of ordered equations: 1
% Current number of rules: 86
% Rule [179]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(c,inverse(c))))) <->
% multiply(inverse(inverse(Y)),multiply(W,inverse(W))) is composed into
% [179]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(c,inverse(c))))) <->
% multiply(inverse(c),multiply(c,multiply(Y,multiply(c,inverse(c)))))
% New rule produced :
% [180]
% multiply(inverse(inverse(Y)),multiply(W,inverse(W))) <->
% multiply(inverse(X),multiply(X,multiply(Y,multiply(c,inverse(c)))))
% Rule
% [178]
% multiply(inverse(inverse(c)),multiply(Y,inverse(Y))) <->
% multiply(inverse(X),multiply(X,multiply(c,multiply(c,inverse(c)))))
% collapsed.
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [181]
% multiply(inverse(inverse(X)),multiply(inverse(Y),multiply(c,inverse(c)))) ->
% multiply(inverse(c),multiply(c,multiply(X,inverse(Y))))
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [182]
% multiply(inverse(inverse(X)),multiply(inverse(c),multiply(Y,inverse(Y)))) ->
% multiply(inverse(c),multiply(c,multiply(X,inverse(c))))
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [183]
% inverse(multiply(multiply(inverse(multiply(Y,inverse(Y))),W),inverse(
% multiply(
% inverse(
% inverse(X)),W))))
% -> inverse(inverse(X))
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [184]
% inverse(multiply(multiply(inverse(multiply(X,inverse(X))),Y),inverse(
% multiply(W,Y))))
% <-> multiply(inverse(inverse(W)),inverse(multiply(c,inverse(c))))
% Rule
% [90]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),X),inverse(
% multiply(Y,X))))
% <-> multiply(inverse(inverse(Y)),inverse(multiply(c,inverse(c)))) collapsed.
% Rule
% [151]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <-> multiply(inverse(inverse(X)),inverse(multiply(c,inverse(c)))) collapsed.
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [185]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <-> multiply(inverse(inverse(X)),inverse(multiply(Y,inverse(Y))))
% Current number of equations to process: 2057
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [186]
% multiply(inverse(inverse(X)),inverse(multiply(Y,inverse(Y)))) <->
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% Rule
% [91]
% multiply(inverse(inverse(Y)),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),X),inverse(
% multiply(Y,X))))
% collapsed.
% Current number of equations to process: 2057
% Current number of ordered equations: 0
% Current number of rules: 89
% Rule [166]
% multiply(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))),
% inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(inverse(Y),inverse(X)),inverse(multiply(c,
% inverse(c))))) is composed into
% [166]
% multiply(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))),inverse(
% multiply(Z,
% inverse(Z))))
% <->
% inverse(multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(
% inverse(X),
% inverse(
% inverse(
% multiply(
% inverse(Y),
% inverse(X))))))))))
% New rule produced :
% [187]
% multiply(Y,inverse(multiply(W,inverse(W)))) <->
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(Y)))))))
% Rule
% [79]
% multiply(X,multiply(multiply(inverse(X),W),inverse(multiply(Z,inverse(Z)))))
% -> W collapsed.
% Rule
% [80]
% multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,inverse(W))))
% -> Y collapsed.
% Rule
% [109]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),inverse(W)),
% inverse(multiply(c,inverse(c)))))))
% <-> multiply(W,multiply(Y,inverse(multiply(Z,inverse(Z))))) collapsed.
% Rule
% [165]
% inverse(multiply(multiply(inverse(Y),inverse(X)),inverse(multiply(c,inverse(c)))))
% <->
% multiply(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))),inverse(
% multiply(Z,
% inverse(Z))))
% collapsed.
% Rule
% [167]
% inverse(multiply(multiply(inverse(X),inverse(c)),inverse(multiply(Z,inverse(Z)))))
% <->
% multiply(multiply(c,multiply(X,inverse(multiply(Y,inverse(Y))))),inverse(
% multiply(W,
% inverse(W))))
% collapsed.
% Rule
% [173]
% multiply(multiply(inverse(X),multiply(c,inverse(c))),inverse(multiply(Y,
% inverse(Y)))) ->
% inverse(X) collapsed.
% Rule
% [176]
% multiply(multiply(inverse(c),multiply(X,inverse(X))),inverse(multiply(Y,
% inverse(Y)))) ->
% inverse(c) collapsed.
% Current number of equations to process: 2064
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [188]
% multiply(Y,inverse(multiply(W,inverse(W)))) <->
% multiply(X,inverse(multiply(X,inverse(multiply(multiply(c,inverse(c)),
% inverse(multiply(inverse(X),inverse(
% inverse(
% multiply(
% inverse(Y),
% inverse(
% inverse(X))))))))))))
% Current number of equations to process: 2062
% Current number of ordered equations: 2
% Current number of rules: 84
% New rule produced :
% [189]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(Y)))))))
% <-> multiply(Y,inverse(multiply(W,inverse(W))))
% Current number of equations to process: 2062
% Current number of ordered equations: 1
% Current number of rules: 85
% Rule [188]
% multiply(Y,inverse(multiply(W,inverse(W)))) <->
% multiply(X,inverse(multiply(X,inverse(multiply(multiply(c,inverse(c)),
% inverse(multiply(inverse(X),
% inverse(inverse(multiply(
% inverse(Y),
% inverse(
% inverse(X)))))))))))) is composed into
% [188]
% multiply(Y,inverse(multiply(W,inverse(W)))) <->
% multiply(Y,inverse(multiply(c,inverse(c))))
% New rule produced :
% [190]
% multiply(X,inverse(multiply(X,inverse(multiply(multiply(c,inverse(c)),
% inverse(multiply(inverse(X),inverse(
% inverse(
% multiply(
% inverse(Y),
% inverse(
% inverse(X))))))))))))
% <-> multiply(Y,inverse(multiply(W,inverse(W))))
% Current number of equations to process: 2062
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [191]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X),
% multiply(X,Y))),W),
% inverse(multiply(Z,W)))))) <-> multiply(Z,Y)
% Current number of equations to process: 2061
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [192]
% multiply(Z,Y) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X),
% multiply(X,Y))),W),
% inverse(multiply(Z,W))))))
% Current number of equations to process: 2061
% Current number of ordered equations: 0
% Current number of rules: 88
% Rule [139]
% multiply(multiply(c,inverse(c)),inverse(multiply(Y,inverse(Y)))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(inverse(inverse(X)),
% multiply(inverse(X),inverse(
% multiply(c,
% inverse(c)))))))) is composed into
% [139]
% multiply(multiply(c,inverse(c)),inverse(multiply(Y,inverse(Y)))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(inverse(c),multiply(c,
% inverse(multiply(c,
% inverse(c))))))))
% New rule produced :
% [193]
% multiply(inverse(X),multiply(X,inverse(multiply(Y,inverse(Y))))) <->
% multiply(inverse(W),multiply(W,inverse(multiply(Z,inverse(Z)))))
% Rule
% [40]
% multiply(inverse(X),multiply(X,inverse(multiply(Y,inverse(Y))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) collapsed.
% Rule
% [114]
% multiply(inverse(Y),multiply(Y,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(c,inverse(c))))) collapsed.
% Rule
% [115]
% multiply(inverse(X),multiply(X,inverse(multiply(c,inverse(c))))) <->
% multiply(inverse(Y),multiply(Y,inverse(multiply(W,inverse(W))))) collapsed.
% Rule
% [125]
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(c,inverse(c))))) collapsed.
% Current number of equations to process: 2101
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [194]
% inverse(multiply(multiply(inverse(Z),V_4),inverse(multiply(W,V_4)))) <->
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(Z,Y)))))
% Current number of equations to process: 2105
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [195]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(Z,Y)))))
% <-> inverse(multiply(multiply(inverse(Z),V_4),inverse(multiply(W,V_4))))
% Current number of equations to process: 2105
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [196]
% multiply(inverse(X),multiply(X,multiply(inverse(Y),multiply(c,inverse(c)))))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(Y)))))
% Current number of equations to process: 2145
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [197]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(Y)))))
% <->
% multiply(inverse(X),multiply(X,multiply(inverse(Y),multiply(c,inverse(c)))))
% Current number of equations to process: 2145
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [198]
% multiply(inverse(X),multiply(X,multiply(inverse(c),multiply(Y,inverse(Y)))))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(c)))))
% Current number of equations to process: 2144
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [199]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(c)))))
% <->
% multiply(inverse(X),multiply(X,multiply(inverse(c),multiply(Y,inverse(Y)))))
% Current number of equations to process: 2144
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [200]
% multiply(inverse(X),multiply(X,multiply(inverse(Y),multiply(Y,W)))) <->
% multiply(inverse(Z),multiply(Z,multiply(inverse(V_4),multiply(V_4,W))))
% Rule
% [116]
% multiply(inverse(W),multiply(W,multiply(inverse(Z),multiply(Z,Y)))) <->
% multiply(inverse(c),multiply(c,multiply(inverse(X),multiply(X,Y))))
% collapsed.
% Rule
% [117]
% multiply(inverse(c),multiply(c,multiply(inverse(X),multiply(X,Y)))) <->
% multiply(inverse(W),multiply(W,multiply(inverse(Z),multiply(Z,Y))))
% collapsed.
% Current number of equations to process: 2165
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [201]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(inverse(
% multiply(c,
% inverse(c))))))))
% <-> multiply(inverse(inverse(X)),inverse(multiply(c,inverse(c))))
% Current number of equations to process: 2163
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [202]
% multiply(inverse(inverse(X)),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(inverse(
% multiply(c,
% inverse(c))))))))
% Current number of equations to process: 2163
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [203]
% multiply(inverse(Z),multiply(Z,multiply(X,multiply(inverse(V_4),multiply(V_4,W)))))
% <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(inverse(Y),multiply(Y,W)))))
% Current number of equations to process: 2162
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [204]
% multiply(inverse(c),multiply(c,multiply(X,multiply(inverse(Y),multiply(Y,W)))))
% <->
% multiply(inverse(Z),multiply(Z,multiply(X,multiply(inverse(V_4),multiply(V_4,W)))))
% Current number of equations to process: 2162
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [205]
% inverse(multiply(multiply(inverse(W),V_4),inverse(multiply(Y,V_4)))) <->
% inverse(multiply(X,inverse(multiply(Y,multiply(W,multiply(X,inverse(multiply(Z,
% inverse(Z)))))))))
% Current number of equations to process: 2160
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [206]
% inverse(multiply(X,inverse(multiply(Y,multiply(W,multiply(X,inverse(multiply(Z,
% inverse(Z)))))))))
% <-> inverse(multiply(multiply(inverse(W),V_4),inverse(multiply(Y,V_4))))
% Current number of equations to process: 2160
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [207]
% multiply(X,multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(
% multiply(
% inverse(X),
% inverse(
% inverse(
% multiply(
% inverse(X),W)))))))))
% -> W
% Current number of equations to process: 2159
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [208]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(
% multiply(
% inverse(X),
% multiply(X,Y)))))))))
% -> Y
% Current number of equations to process: 2158
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [209]
% inverse(multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))))
% <->
% inverse(multiply(multiply(inverse(X),multiply(Y,W)),inverse(multiply(
% inverse(Z),
% multiply(Z,W)))))
% Current number of equations to process: 2164
% Current number of ordered equations: 1
% Current number of rules: 99
% Rule [209]
% inverse(multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))))
% <->
% inverse(multiply(multiply(inverse(X),multiply(Y,W)),inverse(multiply(
% inverse(Z),
% multiply(Z,W))))) is composed into
% [209]
% inverse(multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))))
% <-> inverse(multiply(multiply(inverse(X),c),inverse(multiply(inverse(Y),c))))
% New rule produced :
% [210]
% inverse(multiply(multiply(inverse(X),multiply(Y,W)),inverse(multiply(
% inverse(Z),
% multiply(Z,W)))))
% <->
% inverse(multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))))
% Rule
% [131]
% multiply(X,inverse(multiply(multiply(inverse(Y),multiply(X,W)),inverse(
% multiply(
% inverse(Z),
% multiply(Z,W))))))
% <-> multiply(Y,inverse(multiply(V_4,inverse(V_4)))) collapsed.
% Current number of equations to process: 2164
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [211]
% multiply(inverse(X),multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(c,
% inverse(c)),
% inverse(multiply(X,
% inverse(
% inverse(W)))))))))
% -> W
% Current number of equations to process: 2163
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [212]
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(c),
% inverse(inverse(
% multiply(
% inverse(Y),
% multiply(Y,X)))))))))
% -> X
% Current number of equations to process: 2209
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [213]
% multiply(X,multiply(c,inverse(c))) <->
% multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(inverse(multiply(W,
% inverse(W))),Z),
% inverse(multiply(X,Z))))))
% Current number of equations to process: 2294
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [214]
% multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(inverse(multiply(W,
% inverse(W))),Z),
% inverse(multiply(X,Z)))))) <->
% multiply(X,multiply(c,inverse(c)))
% Current number of equations to process: 2294
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [215]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(c,inverse(c)))),Y),
% inverse(multiply(W,Y)))) <->
% multiply(multiply(W,inverse(X)),inverse(multiply(Z,inverse(Z))))
% Current number of equations to process: 2293
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [216]
% multiply(multiply(W,inverse(X)),inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(c,inverse(c)))),Y),
% inverse(multiply(W,Y))))
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [217]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(X,inverse(X)))),Y),
% inverse(multiply(W,Y)))) <->
% multiply(multiply(W,inverse(c)),inverse(multiply(Z,inverse(Z))))
% Current number of equations to process: 2292
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [218]
% multiply(multiply(W,inverse(c)),inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(X,inverse(X)))),Y),
% inverse(multiply(W,Y))))
% Current number of equations to process: 2292
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [219]
% inverse(multiply(multiply(inverse(X),multiply(X,inverse(multiply(c,inverse(c))))),
% inverse(Y))) <-> multiply(Y,inverse(multiply(c,inverse(c))))
% Current number of equations to process: 2350
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [220]
% multiply(Y,inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(multiply(inverse(X),multiply(X,inverse(multiply(c,inverse(c))))),
% inverse(Y)))
% Current number of equations to process: 2350
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [221]
% inverse(multiply(W,inverse(W))) <->
% inverse(multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(Y)))))
% Current number of equations to process: 2352
% Current number of ordered equations: 1
% Current number of rules: 110
% Rule [221]
% inverse(multiply(W,inverse(W))) <->
% inverse(multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(Y))))) is composed into
% [221] inverse(multiply(W,inverse(W))) <-> inverse(multiply(c,inverse(c)))
% New rule produced :
% [222]
% inverse(multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(Y))))) <->
% inverse(multiply(W,inverse(W)))
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [223]
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(Y)))) ->
% multiply(c,inverse(c))
% Rule
% [137]
% multiply(multiply(X,inverse(X)),inverse(multiply(c,inverse(c)))) ->
% multiply(c,inverse(c)) collapsed.
% Rule
% [139]
% multiply(multiply(c,inverse(c)),inverse(multiply(Y,inverse(Y)))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(inverse(c),multiply(c,
% inverse(multiply(c,
% inverse(c))))))))
% collapsed.
% Rule
% [222]
% inverse(multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(Y))))) <->
% inverse(multiply(W,inverse(W))) collapsed.
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [224] multiply(X,inverse(X)) <-> multiply(Y,inverse(Y))
% Rule [112] multiply(X,inverse(X)) <-> multiply(c,inverse(c)) collapsed.
% Rule [113] multiply(c,inverse(c)) <-> multiply(X,inverse(X)) collapsed.
% Rule
% [124] inverse(multiply(Y,inverse(Y))) <-> inverse(multiply(X,inverse(X)))
% collapsed.
% Rule
% [129]
% multiply(Y,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(Y,inverse(multiply(c,inverse(c)))) collapsed.
% Rule
% [134]
% multiply(Y,inverse(multiply(V_4,inverse(V_4)))) <->
% multiply(Y,inverse(multiply(c,inverse(c)))) collapsed.
% Rule
% [188]
% multiply(Y,inverse(multiply(W,inverse(W)))) <->
% multiply(Y,inverse(multiply(c,inverse(c)))) collapsed.
% Rule
% [221] inverse(multiply(W,inverse(W))) <-> inverse(multiply(c,inverse(c)))
% collapsed.
% Current number of equations to process: 2368
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [225]
% multiply(inverse(X),multiply(X,inverse(multiply(inverse(c),multiply(c,
% inverse(multiply(c,
% inverse(c))))))))
% -> multiply(c,inverse(c))
% Rule
% [163]
% inverse(multiply(inverse(c),multiply(c,inverse(multiply(inverse(c),multiply(c,
% inverse(
% multiply(c,
% inverse(c)))))))))
% -> inverse(multiply(c,inverse(c))) collapsed.
% Rule
% [164]
% multiply(X,multiply(inverse(c),multiply(c,inverse(multiply(inverse(c),
% multiply(c,inverse(
% multiply(c,
% inverse(c)))))))))
% -> inverse(inverse(X)) collapsed.
% Current number of equations to process: 2380
% Current number of ordered equations: 0
% Current number of rules: 102
% Rule [216]
% multiply(multiply(W,inverse(X)),inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(c,
% inverse(c)))),Y),
% inverse(multiply(W,Y)))) is composed into [216]
% multiply(multiply(W,
% inverse(X)),
% inverse(multiply(Z,
% inverse(Z))))
% <->
% inverse(multiply(
% multiply(
% inverse(
% inverse(
% inverse(
% inverse(X)))),Y),
% inverse(
% multiply(W,Y))))
% Rule [214]
% multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(inverse(
% multiply(W,
% inverse(W))),Z),
% inverse(multiply(X,Z)))))) <->
% multiply(X,multiply(c,inverse(c))) is composed into [214]
% multiply(inverse(Y),
% multiply(Y,inverse(
% multiply(
% multiply(
% inverse(
% multiply(W,
% inverse(W))),Z),
% inverse(
% multiply(X,Z))))))
% ->
% inverse(inverse(X))
% Rule [197]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(Y)))))
% <->
% multiply(inverse(X),multiply(X,multiply(inverse(Y),multiply(c,inverse(c))))) is composed into
% [197]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(Y)))))
% <-> multiply(inverse(X),multiply(X,inverse(inverse(inverse(Y)))))
% Rule [180]
% multiply(inverse(inverse(Y)),multiply(W,inverse(W))) <->
% multiply(inverse(X),multiply(X,multiply(Y,multiply(c,inverse(c))))) is composed into
% [180]
% multiply(inverse(inverse(Y)),multiply(W,inverse(W))) <->
% multiply(inverse(X),multiply(X,inverse(inverse(Y))))
% Rule [172]
% multiply(inverse(Y),multiply(Y,inverse(X))) <->
% multiply(inverse(X),multiply(c,inverse(c))) is composed into [172]
% multiply(
% inverse(Y),
% multiply(Y,
% inverse(X)))
% ->
% inverse(
% inverse(
% inverse(X)))
% New rule produced :
% [226] multiply(X,multiply(c,inverse(c))) -> inverse(inverse(X))
% Rule
% [169]
% multiply(inverse(X),multiply(X,multiply(c,inverse(c)))) ->
% multiply(c,inverse(c)) collapsed.
% Rule
% [171]
% multiply(inverse(X),multiply(c,inverse(c))) <->
% multiply(inverse(Y),multiply(Y,inverse(X))) collapsed.
% Rule
% [177]
% multiply(inverse(X),multiply(X,multiply(c,multiply(c,inverse(c))))) <->
% multiply(inverse(c),multiply(c,multiply(c,multiply(c,inverse(c)))))
% collapsed.
% Rule
% [179]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(c,inverse(c))))) <->
% multiply(inverse(c),multiply(c,multiply(Y,multiply(c,inverse(c)))))
% collapsed.
% Rule
% [181]
% multiply(inverse(inverse(X)),multiply(inverse(Y),multiply(c,inverse(c)))) ->
% multiply(inverse(c),multiply(c,multiply(X,inverse(Y)))) collapsed.
% Rule
% [196]
% multiply(inverse(X),multiply(X,multiply(inverse(Y),multiply(c,inverse(c)))))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(Y)))))
% collapsed.
% Rule
% [213]
% multiply(X,multiply(c,inverse(c))) <->
% multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(inverse(multiply(W,
% inverse(W))),Z),
% inverse(multiply(X,Z)))))) collapsed.
% Rule
% [215]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(c,inverse(c)))),Y),
% inverse(multiply(W,Y)))) <->
% multiply(multiply(W,inverse(X)),inverse(multiply(Z,inverse(Z)))) collapsed.
% Current number of equations to process: 2382
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [227]
% multiply(inverse(inverse(X)),inverse(inverse(inverse(Y)))) ->
% multiply(inverse(c),multiply(c,multiply(X,inverse(Y))))
% Current number of equations to process: 2381
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [228]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))),inverse(
% multiply(Y,
% inverse(Y))))
% Current number of equations to process: 2385
% Current number of ordered equations: 1
% Current number of rules: 97
% Rule [228]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))),
% inverse(multiply(Y,inverse(Y)))) is composed into [228]
% inverse(inverse(
% inverse(
% multiply(W,
% inverse(W)))))
% <->
% inverse(inverse(
% inverse(
% multiply(c,
% inverse(c)))))
% New rule produced :
% [229]
% multiply(inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))),inverse(
% multiply(Y,
% inverse(Y))))
% <-> inverse(inverse(inverse(multiply(W,inverse(W)))))
% Current number of equations to process: 2385
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [230]
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),
% inverse(multiply(Y,W)))))) -> multiply(Y,W)
% Current number of equations to process: 2388
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [231]
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(
% multiply(Y,W))))
% <-> multiply(multiply(Y,W),inverse(multiply(Z,inverse(Z))))
% Current number of equations to process: 2397
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [232]
% multiply(multiply(Y,W),inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(
% multiply(Y,W))))
% Current number of equations to process: 2397
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [233]
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(Y,inverse(Y)),
% multiply(W,inverse(multiply(Z,
% inverse(Z))))))
% -> W
% Current number of equations to process: 2396
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [234]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(W,inverse(W))),Z),
% inverse(multiply(X,Z)))))) -> inverse(inverse(X))
% Current number of equations to process: 2395
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [235]
% multiply(X,inverse(multiply(inverse(inverse(inverse(multiply(Y,inverse(Y))))),
% inverse(multiply(inverse(X),W))))) -> W
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [236]
% inverse(inverse(inverse(multiply(Z,inverse(Z))))) <->
% multiply(inverse(multiply(inverse(inverse(X)),Y)),multiply(X,multiply(Y,
% inverse(
% multiply(W,
% inverse(W))))))
% Current number of equations to process: 2393
% Current number of ordered equations: 1
% Current number of rules: 105
% Rule [236]
% inverse(inverse(inverse(multiply(Z,inverse(Z))))) <->
% multiply(inverse(multiply(inverse(inverse(X)),Y)),multiply(X,multiply(Y,
% inverse(
% multiply(W,
% inverse(W)))))) is composed into
% [236]
% inverse(inverse(inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(multiply(c,inverse(c)))))
% New rule produced :
% [237]
% multiply(inverse(multiply(inverse(inverse(X)),Y)),multiply(X,multiply(Y,
% inverse(
% multiply(W,
% inverse(W))))))
% <-> inverse(inverse(inverse(multiply(Z,inverse(Z)))))
% Current number of equations to process: 2393
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [238]
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(
% multiply(
% inverse(
% inverse(Y)),W))))
% <-> multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z)))))
% Current number of equations to process: 2392
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [239]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(
% multiply(
% inverse(
% inverse(Y)),W))))
% Current number of equations to process: 2392
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [240]
% multiply(X,inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),
% inverse(multiply(inverse(Y),multiply(Y,W)))))) ->
% multiply(X,W)
% Current number of equations to process: 2403
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [241]
% multiply(inverse(inverse(multiply(X,inverse(X)))),Y) <->
% multiply(inverse(c),multiply(c,multiply(multiply(W,inverse(W)),multiply(Y,
% inverse(
% multiply(c,
% inverse(c)))))))
% Current number of equations to process: 2405
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [242]
% multiply(inverse(c),multiply(c,multiply(multiply(W,inverse(W)),multiply(Y,
% inverse(
% multiply(c,
% inverse(c)))))))
% <-> multiply(inverse(inverse(multiply(X,inverse(X)))),Y)
% Current number of equations to process: 2405
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [243]
% multiply(inverse(inverse(multiply(X,inverse(X)))),Y) <->
% multiply(inverse(c),multiply(c,multiply(multiply(W,inverse(W)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% Rule
% [241]
% multiply(inverse(inverse(multiply(X,inverse(X)))),Y) <->
% multiply(inverse(c),multiply(c,multiply(multiply(W,inverse(W)),multiply(Y,
% inverse(
% multiply(c,
% inverse(c)))))))
% collapsed.
% Current number of equations to process: 2404
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [244]
% multiply(inverse(c),multiply(c,multiply(multiply(W,inverse(W)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(inverse(inverse(multiply(X,inverse(X)))),Y)
% Rule
% [242]
% multiply(inverse(c),multiply(c,multiply(multiply(W,inverse(W)),multiply(Y,
% inverse(
% multiply(c,
% inverse(c)))))))
% <-> multiply(inverse(inverse(multiply(X,inverse(X)))),Y) collapsed.
% Current number of equations to process: 2404
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [245]
% inverse(inverse(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(W,Y))))))
% <-> multiply(W,multiply(X,inverse(multiply(Z,inverse(Z)))))
% Current number of equations to process: 2496
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [246]
% multiply(W,multiply(X,inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(W,Y))))))
% Current number of equations to process: 2496
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [247]
% multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(multiply(Y,
% inverse(Y))))
% -> inverse(multiply(c,inverse(c)))
% Current number of equations to process: 2507
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [248]
% inverse(multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))))
% <->
% inverse(multiply(multiply(inverse(X),multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W)))
% Current number of equations to process: 2711
% Current number of ordered equations: 1
% Current number of rules: 115
% Rule [248]
% inverse(multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))))
% <->
% inverse(multiply(multiply(inverse(X),multiply(Y,multiply(W,inverse(
% multiply(Z,
% inverse(Z)))))),
% inverse(W))) is composed into [248]
% inverse(multiply(multiply(
% inverse(X),V_4),
% inverse(multiply(inverse(Y),V_4))))
% <->
% inverse(multiply(multiply(
% inverse(X),c),
% inverse(multiply(inverse(Y),c))))
% New rule produced :
% [249]
% inverse(multiply(multiply(inverse(X),multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W))) <->
% inverse(multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))))
% Rule
% [135]
% multiply(X,inverse(multiply(multiply(inverse(Y),multiply(X,multiply(W,
% inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W)))) <->
% multiply(Y,inverse(multiply(V_4,inverse(V_4)))) collapsed.
% Current number of equations to process: 2711
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [250]
% inverse(inverse(inverse(multiply(multiply(c,inverse(c)),inverse(multiply(Y,
% inverse(
% inverse(W))))))))
% <-> multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z)))))
% Current number of equations to process: 2710
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [251]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(multiply(multiply(c,inverse(c)),inverse(multiply(Y,
% inverse(
% inverse(W))))))))
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [252]
% inverse(multiply(inverse(Y),inverse(W))) <->
% multiply(W,multiply(Y,inverse(multiply(V_4,inverse(V_4)))))
% Current number of equations to process: 2709
% Current number of ordered equations: 1
% Current number of rules: 118
% Rule [220]
% multiply(Y,inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(multiply(inverse(X),multiply(X,inverse(multiply(c,
% inverse(c))))),
% inverse(Y))) is composed into [220]
% multiply(Y,inverse(multiply(c,
% inverse(c))))
% <->
% inverse(multiply(inverse(multiply(
% inverse(X),
% inverse(
% inverse(X)))),
% inverse(Y)))
% Rule [126]
% multiply(inverse(multiply(inverse(X),multiply(X,Y))),Y) <->
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))) is composed into
% [126]
% multiply(inverse(multiply(inverse(X),multiply(X,Y))),Y) ->
% inverse(multiply(inverse(c),inverse(inverse(c))))
% New rule produced :
% [253]
% multiply(W,multiply(Y,inverse(multiply(V_4,inverse(V_4))))) <->
% inverse(multiply(inverse(Y),inverse(W)))
% Rule
% [193]
% multiply(inverse(X),multiply(X,inverse(multiply(Y,inverse(Y))))) <->
% multiply(inverse(W),multiply(W,inverse(multiply(Z,inverse(Z))))) collapsed.
% Rule
% [219]
% inverse(multiply(multiply(inverse(X),multiply(X,inverse(multiply(c,inverse(c))))),
% inverse(Y))) <-> multiply(Y,inverse(multiply(c,inverse(c))))
% collapsed.
% Rule
% [225]
% multiply(inverse(X),multiply(X,inverse(multiply(inverse(c),multiply(c,
% inverse(multiply(c,
% inverse(c))))))))
% -> multiply(c,inverse(c)) collapsed.
% Current number of equations to process: 2711
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [254]
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(Y))) <->
% multiply(Y,inverse(multiply(c,inverse(c))))
% Current number of equations to process: 2710
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [255]
% multiply(Y,inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(Y)))
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [256]
% inverse(inverse(inverse(inverse(multiply(c,inverse(c)))))) ->
% multiply(c,inverse(c))
% Current number of equations to process: 2709
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [257]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(inverse(
% multiply(
% inverse(Y),
% multiply(Y,W))))))))
% <-> multiply(multiply(X,W),inverse(multiply(Z,inverse(Z))))
% Current number of equations to process: 2707
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [258]
% multiply(multiply(X,W),inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(inverse(
% multiply(
% inverse(Y),
% multiply(Y,W))))))))
% Current number of equations to process: 2707
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [259]
% inverse(multiply(X,inverse(multiply(Y,inverse(inverse(inverse(multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% multiply(
% inverse(Y),W),
% inverse(
% inverse(X))))))))))))
% -> multiply(W,inverse(multiply(c,inverse(c))))
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [260]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(X,
% inverse(X)))))),Y),
% inverse(multiply(W,Y)))))) <->
% multiply(W,inverse(multiply(Z,inverse(Z))))
% Current number of equations to process: 2705
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [261]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(X,
% inverse(X)))))),Y),
% inverse(multiply(W,Y))))))
% Current number of equations to process: 2705
% Current number of ordered equations: 0
% Current number of rules: 124
% Rule [201]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(
% inverse(
% multiply(c,
% inverse(c))))))))
% <-> multiply(inverse(inverse(X)),inverse(multiply(c,inverse(c)))) is composed into
% [201]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(inverse(
% multiply(c,
% inverse(c))))))))
% <->
% multiply(c,inverse(multiply(inverse(X),inverse(multiply(inverse(c),inverse(
% inverse(
% inverse(
% multiply(c,
% inverse(c))))))))))
% Rule [185]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <-> multiply(inverse(inverse(X)),inverse(multiply(Y,inverse(Y)))) is composed into
% [185]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <->
% multiply(c,inverse(multiply(inverse(X),inverse(multiply(inverse(c),inverse(
% inverse(
% inverse(
% multiply(c,
% inverse(c))))))))))
% Rule [184]
% inverse(multiply(multiply(inverse(multiply(X,inverse(X))),Y),inverse(
% multiply(W,Y))))
% <-> multiply(inverse(inverse(W)),inverse(multiply(c,inverse(c)))) is composed into
% [184]
% inverse(multiply(multiply(inverse(multiply(X,inverse(X))),Y),inverse(
% multiply(W,Y))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(multiply(inverse(c),inverse(
% inverse(
% inverse(
% multiply(c,
% inverse(c))))))))))
% Rule [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% <-> multiply(inverse(inverse(W)),inverse(multiply(c,inverse(c)))) is composed into
% [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(multiply(inverse(c),inverse(
% inverse(
% inverse(
% multiply(c,
% inverse(c))))))))))
% New rule produced :
% [262]
% multiply(inverse(Y),inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(multiply(Y,inverse(multiply(inverse(X),inverse(inverse(
% inverse(
% multiply(W,
% inverse(W))))))))))
% Rule
% [158]
% multiply(inverse(inverse(W)),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% collapsed.
% Rule
% [186]
% multiply(inverse(inverse(X)),inverse(multiply(Y,inverse(Y)))) <->
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% collapsed.
% Rule
% [202]
% multiply(inverse(inverse(X)),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(inverse(
% multiply(c,
% inverse(c))))))))
% collapsed.
% Rule
% [229]
% multiply(inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))),inverse(
% multiply(Y,
% inverse(Y))))
% <-> inverse(inverse(inverse(multiply(W,inverse(W))))) collapsed.
% Rule
% [247]
% multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(multiply(Y,
% inverse(Y))))
% -> inverse(multiply(c,inverse(c))) collapsed.
% Current number of equations to process: 2801
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [263]
% multiply(X,inverse(multiply(Y,inverse(multiply(inverse(X),inverse(inverse(
% inverse(
% multiply(W,
% inverse(W))))))))))
% <-> multiply(inverse(Y),inverse(multiply(Z,inverse(Z))))
% Current number of equations to process: 2801
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [264]
% multiply(inverse(X),inverse(inverse(inverse(multiply(multiply(inverse(
% inverse(
% inverse(Y))),W),
% inverse(multiply(X,W))))))) ->
% inverse(inverse(Y))
% Current number of equations to process: 2850
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [265]
% multiply(X,inverse(multiply(W,inverse(W)))) <->
% multiply(X,inverse(multiply(inverse(c),multiply(c,multiply(Y,inverse(Y))))))
% Current number of equations to process: 2899
% Current number of ordered equations: 1
% Current number of rules: 123
% Rule [265]
% multiply(X,inverse(multiply(W,inverse(W)))) <->
% multiply(X,inverse(multiply(inverse(c),multiply(c,multiply(Y,inverse(Y)))))) is composed into
% [265]
% multiply(X,inverse(multiply(W,inverse(W)))) <->
% multiply(X,inverse(multiply(c,inverse(c))))
% New rule produced :
% [266]
% multiply(X,inverse(multiply(inverse(c),multiply(c,multiply(Y,inverse(Y))))))
% <-> multiply(X,inverse(multiply(W,inverse(W))))
% Current number of equations to process: 2899
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [267]
% multiply(inverse(X),inverse(inverse(inverse(multiply(multiply(inverse(Y),W),
% inverse(multiply(X,W))))))) -> Y
% Rule
% [264]
% multiply(inverse(X),inverse(inverse(inverse(multiply(multiply(inverse(
% inverse(
% inverse(Y))),W),
% inverse(multiply(X,W))))))) ->
% inverse(inverse(Y)) collapsed.
% Current number of equations to process: 2910
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [268]
% inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),inverse(
% multiply(
% inverse(c),
% multiply(c,X)))))
% -> X
% Current number of equations to process: 2914
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [269]
% inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),inverse(
% multiply(
% inverse(Y),
% multiply(Y,X)))))
% -> X
% Rule
% [240]
% multiply(X,inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),
% inverse(multiply(inverse(Y),multiply(Y,W)))))) ->
% multiply(X,W) collapsed.
% Rule
% [268]
% inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),inverse(
% multiply(
% inverse(c),
% multiply(c,X)))))
% -> X collapsed.
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [270]
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),Y))) <->
% multiply(inverse(c),multiply(c,multiply(multiply(X,inverse(X)),Y)))
% Current number of equations to process: 2957
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [271]
% multiply(inverse(c),multiply(c,multiply(multiply(X,inverse(X)),Y))) <->
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),Y)))
% Current number of equations to process: 2957
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [272]
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(inverse(inverse(
% multiply(
% inverse(X),
% multiply(X,Y)))))))
% -> multiply(inverse(c),multiply(c,Y))
% Current number of equations to process: 2971
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [273]
% multiply(inverse(X),inverse(inverse(inverse(multiply(multiply(inverse(c),
% multiply(c,Y)),inverse(
% multiply(X,
% multiply(W,Y))))))))
% -> W
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [274]
% inverse(inverse(inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(
% multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))))
% -> inverse(inverse(W))
% Current number of equations to process: 2974
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [275]
% multiply(inverse(inverse(inverse(X))),inverse(multiply(multiply(inverse(
% multiply(c,
% inverse(c))),Y),
% inverse(multiply(X,Y))))) ->
% inverse(multiply(c,inverse(c)))
% Current number of equations to process: 2973
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [276]
% inverse(inverse(inverse(multiply(multiply(inverse(c),multiply(c,X)),inverse(
% multiply(Y,
% multiply(W,X)))))))
% <-> multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z)))))
% Current number of equations to process: 2972
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [277]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(c),multiply(c,X)),inverse(
% multiply(Y,
% multiply(W,X)))))))
% Current number of equations to process: 2972
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [278]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(
% inverse(inverse(W)),
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% -> inverse(inverse(W))
% Current number of equations to process: 2969
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [279]
% multiply(inverse(W),multiply(W,multiply(inverse(multiply(c,inverse(c))),Y)))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(X,inverse(X))),Y)))
% Current number of equations to process: 3015
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [280]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(X,inverse(X))),Y)))
% <->
% multiply(inverse(W),multiply(W,multiply(inverse(multiply(c,inverse(c))),Y)))
% Current number of equations to process: 3015
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [281]
% multiply(inverse(W),multiply(W,multiply(inverse(inverse(multiply(c,inverse(c)))),Y)))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(inverse(multiply(X,inverse(X)))),Y)))
% Current number of equations to process: 3014
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [282]
% multiply(inverse(c),multiply(c,multiply(inverse(inverse(multiply(X,inverse(X)))),Y)))
% <->
% multiply(inverse(W),multiply(W,multiply(inverse(inverse(multiply(c,inverse(c)))),Y)))
% Current number of equations to process: 3014
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [283]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),X))) <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),X)))
% Current number of equations to process: 3079
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [284]
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),X))) <->
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),X)))
% Current number of equations to process: 3079
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [285]
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(
% multiply(
% inverse(X),
% multiply(X,Y)))))
% -> Y
% Current number of equations to process: 3085
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [286]
% inverse(inverse(inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(
% multiply(W,
% multiply(
% multiply(Z,
% inverse(Z)),Y)))))))
% -> inverse(inverse(W))
% Rule
% [274]
% inverse(inverse(inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(
% multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))))
% -> inverse(inverse(W)) collapsed.
% Current number of equations to process: 3104
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [287]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(
% inverse(inverse(W)),
% multiply(
% multiply(Z,
% inverse(Z)),Y)))))
% -> inverse(inverse(W))
% Rule
% [278]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(
% inverse(inverse(W)),
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% -> inverse(inverse(W)) collapsed.
% Current number of equations to process: 3102
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [288]
% multiply(multiply(c,inverse(c)),X) <->
% multiply(inverse(inverse(inverse(inverse(multiply(Y,inverse(Y)))))),X)
% Current number of equations to process: 3122
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [289]
% multiply(inverse(inverse(inverse(inverse(multiply(Y,inverse(Y)))))),X) <->
% multiply(multiply(c,inverse(c)),X)
% Current number of equations to process: 3122
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [290]
% multiply(inverse(Y),multiply(Y,multiply(inverse(multiply(W,inverse(W))),X)))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),X)))
% Current number of equations to process: 3120
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [291]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),X)))
% <->
% multiply(inverse(Y),multiply(Y,multiply(inverse(multiply(W,inverse(W))),X)))
% Current number of equations to process: 3120
% Current number of ordered equations: 0
% Current number of rules: 144
% Rule [282]
% multiply(inverse(c),multiply(c,multiply(inverse(inverse(multiply(X,
% inverse(X)))),Y)))
% <->
% multiply(inverse(W),multiply(W,multiply(inverse(inverse(multiply(c,
% inverse(c)))),Y))) is composed into
% [282]
% multiply(inverse(c),multiply(c,multiply(inverse(inverse(multiply(X,inverse(X)))),Y)))
% <-> multiply(multiply(c,inverse(c)),multiply(inverse(c),multiply(c,Y)))
% New rule produced :
% [292]
% multiply(inverse(W),multiply(W,multiply(inverse(inverse(multiply(Z,inverse(Z)))),Y)))
% <-> multiply(multiply(c,inverse(c)),multiply(inverse(X),multiply(X,Y)))
% Rule
% [281]
% multiply(inverse(W),multiply(W,multiply(inverse(inverse(multiply(c,inverse(c)))),Y)))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(inverse(multiply(X,inverse(X)))),Y)))
% collapsed.
% Current number of equations to process: 3120
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [293]
% multiply(multiply(c,inverse(c)),multiply(inverse(X),multiply(X,Y))) <->
% multiply(inverse(W),multiply(W,multiply(inverse(inverse(multiply(Z,inverse(Z)))),Y)))
% Current number of equations to process: 3119
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [294]
% multiply(inverse(X),multiply(X,Y)) <->
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(inverse(inverse(
% inverse(
% multiply(W,
% inverse(W)))))),Y))
% Current number of equations to process: 3121
% Current number of ordered equations: 1
% Current number of rules: 146
% Rule [294]
% multiply(inverse(X),multiply(X,Y)) <->
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(inverse(
% inverse(
% inverse(
% multiply(W,
% inverse(W)))))),Y)) is composed into
% [294]
% multiply(inverse(X),multiply(X,Y)) <-> multiply(inverse(c),multiply(c,Y))
% New rule produced :
% [295]
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(inverse(inverse(
% inverse(
% multiply(W,
% inverse(W)))))),Y))
% <-> multiply(inverse(X),multiply(X,Y))
% Current number of equations to process: 3121
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [296]
% inverse(inverse(inverse(multiply(X,inverse(multiply(Y,multiply(multiply(c,
% inverse(c)),
% multiply(X,inverse(
% multiply(W,
% inverse(W)))))))))))
% -> inverse(inverse(Y))
% Current number of equations to process: 3152
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [297]
% inverse(inverse(inverse(multiply(inverse(Y),multiply(Y,X))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(c,inverse(c))),X),
% inverse(inverse(multiply(c,inverse(c))))))))
% Current number of equations to process: 3151
% Current number of ordered equations: 1
% Current number of rules: 149
% Rule [297]
% inverse(inverse(inverse(multiply(inverse(Y),multiply(Y,X))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(c,inverse(c))),X),
% inverse(inverse(multiply(c,inverse(c)))))))) is composed into
% [297]
% inverse(inverse(inverse(multiply(inverse(Y),multiply(Y,X))))) <->
% inverse(inverse(inverse(multiply(inverse(c),multiply(c,X)))))
% New rule produced :
% [298]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(c,inverse(c))),X),
% inverse(inverse(multiply(c,inverse(c)))))))) <->
% inverse(inverse(inverse(multiply(inverse(Y),multiply(Y,X)))))
% Current number of equations to process: 3151
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [299]
% multiply(inverse(multiply(c,inverse(c))),inverse(inverse(inverse(multiply(
% multiply(
% inverse(X),Y),
% inverse(
% multiply(
% multiply(W,
% inverse(W)),Y)))))))
% -> X
% Current number of equations to process: 3150
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(multiply(W,inverse(W)),Y))))))))
% -> multiply(inverse(inverse(multiply(c,inverse(c)))),X)
% Current number of equations to process: 3293
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [301]
% inverse(inverse(inverse(multiply(X,multiply(inverse(W),inverse(multiply(Z,
% inverse(Z))))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% Current number of equations to process: 3534
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [302]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% <->
% inverse(inverse(inverse(multiply(X,multiply(inverse(W),inverse(multiply(Z,
% inverse(Z))))))))
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [303]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(X)))),Y),inverse(
% multiply(
% inverse(
% inverse(W)),Y))))
% <->
% inverse(inverse(inverse(multiply(X,multiply(inverse(W),inverse(multiply(Z,
% inverse(Z))))))))
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [304]
% multiply(inverse(X),inverse(inverse(inverse(multiply(Y,multiply(inverse(X),
% inverse(multiply(W,
% inverse(W)))))))))
% -> inverse(Y)
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [305]
% inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),
% inverse(multiply(W,
% inverse(W))))))))))
% <-> multiply(inverse(inverse(Y)),inverse(X))
% Current number of equations to process: 3554
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [306]
% multiply(inverse(inverse(Y)),inverse(X)) <->
% inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),
% inverse(multiply(W,
% inverse(W))))))))))
% Current number of equations to process: 3554
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [307]
% inverse(inverse(inverse(multiply(Y,multiply(inverse(X),inverse(multiply(Z,
% inverse(Z))))))))
% <-> multiply(X,multiply(inverse(Y),inverse(multiply(W,inverse(W)))))
% Current number of equations to process: 3574
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [308]
% multiply(X,multiply(inverse(Y),inverse(multiply(W,inverse(W))))) <->
% inverse(inverse(inverse(multiply(Y,multiply(inverse(X),inverse(multiply(Z,
% inverse(Z))))))))
% Current number of equations to process: 3574
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [309]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),
% inverse(multiply(Y,
% inverse(Y)))))))))))
% <-> multiply(X,multiply(inverse(Y),inverse(multiply(W,inverse(W)))))
% Current number of equations to process: 3606
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [310]
% multiply(X,multiply(inverse(Y),inverse(multiply(W,inverse(W))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),
% inverse(multiply(Y,
% inverse(Y)))))))))))
% Current number of equations to process: 3606
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [311]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(
% inverse(X)),Y),
% inverse(multiply(W,Y)))))))))
% <-> multiply(X,multiply(inverse(W),inverse(multiply(Z,inverse(Z)))))
% Current number of equations to process: 3605
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [312]
% multiply(X,multiply(inverse(W),inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(
% inverse(X)),Y),
% inverse(multiply(W,Y)))))))))
% Current number of equations to process: 3605
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [313]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),
% inverse(multiply(W,
% inverse(W)))))))))))
% <-> multiply(X,multiply(inverse(Y),inverse(multiply(Z,inverse(Z)))))
% Rule
% [309]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),
% inverse(multiply(Y,
% inverse(Y)))))))))))
% <-> multiply(X,multiply(inverse(Y),inverse(multiply(W,inverse(W)))))
% collapsed.
% Current number of equations to process: 3666
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [314]
% multiply(X,multiply(inverse(Y),inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),
% inverse(multiply(W,
% inverse(W)))))))))))
% Rule
% [310]
% multiply(X,multiply(inverse(Y),inverse(multiply(W,inverse(W))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),
% inverse(multiply(Y,
% inverse(Y)))))))))))
% collapsed.
% Current number of equations to process: 3666
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [315]
% multiply(inverse(X),multiply(X,multiply(multiply(inverse(Y),W),inverse(
% multiply(Z,W)))))
% -> multiply(inverse(Y),inverse(Z))
% Current number of equations to process: 3769
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [316] inverse(inverse(multiply(X,inverse(multiply(c,inverse(c)))))) -> X
% Current number of equations to process: 3867
% Current number of ordered equations: 0
% Current number of rules: 166
% Rule [218]
% multiply(multiply(W,inverse(c)),inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(X,
% inverse(X)))),Y),
% inverse(multiply(W,Y)))) is composed into [218]
% multiply(multiply(W,
% inverse(c)),
% inverse(multiply(Z,
% inverse(Z))))
% <->
% inverse(multiply(
% multiply(
% inverse(
% inverse(
% inverse(
% inverse(c)))),Y),
% inverse(
% multiply(W,Y))))
% Rule [199]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(c)))))
% <->
% multiply(inverse(X),multiply(X,multiply(inverse(c),multiply(Y,inverse(Y))))) is composed into
% [199]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(c)))))
% <-> multiply(inverse(X),multiply(X,inverse(inverse(inverse(c)))))
% Rule [174]
% multiply(inverse(Y),multiply(Y,inverse(c))) <->
% multiply(inverse(c),multiply(X,inverse(X))) is composed into [174]
% multiply(
% inverse(Y),
% multiply(Y,
% inverse(c)))
% ->
% inverse(
% inverse(
% inverse(c)))
% New rule produced :
% [317]
% multiply(inverse(c),multiply(X,inverse(X))) -> inverse(inverse(inverse(c)))
% Rule
% [175]
% multiply(inverse(c),multiply(X,inverse(X))) <->
% multiply(inverse(Y),multiply(Y,inverse(c))) collapsed.
% Rule
% [182]
% multiply(inverse(inverse(X)),multiply(inverse(c),multiply(Y,inverse(Y)))) ->
% multiply(inverse(c),multiply(c,multiply(X,inverse(c)))) collapsed.
% Rule
% [198]
% multiply(inverse(X),multiply(X,multiply(inverse(c),multiply(Y,inverse(Y)))))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(c)))))
% collapsed.
% Rule
% [217]
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(X,inverse(X)))),Y),
% inverse(multiply(W,Y)))) <->
% multiply(multiply(W,inverse(c)),inverse(multiply(Z,inverse(Z)))) collapsed.
% Current number of equations to process: 3904
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [318]
% multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z))) <->
% multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,multiply(W,inverse(X)))))
% Current number of equations to process: 3912
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [319]
% multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,multiply(W,inverse(X)))))
% <-> multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z)))
% Current number of equations to process: 3912
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [320]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(X)))),Y),
% inverse(multiply(W,Y)))))) <-> multiply(W,inverse(X))
% Current number of equations to process: 3911
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [321]
% multiply(W,inverse(X)) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(X)))),Y),
% inverse(multiply(W,Y))))))
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [322]
% multiply(multiply(inverse(Z),V_4),inverse(multiply(W,V_4))) <->
% multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,multiply(Z,Y))))
% Rule
% [194]
% inverse(multiply(multiply(inverse(Z),V_4),inverse(multiply(W,V_4)))) <->
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(Z,Y)))))
% collapsed.
% Current number of equations to process: 3910
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [323]
% multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,multiply(Z,Y))))
% <-> multiply(multiply(inverse(Z),V_4),inverse(multiply(W,V_4)))
% Rule
% [195]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(Z,Y)))))
% <-> inverse(multiply(multiply(inverse(Z),V_4),inverse(multiply(W,V_4))))
% collapsed.
% Current number of equations to process: 3910
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [324]
% inverse(inverse(inverse(multiply(Z,Y)))) <->
% multiply(inverse(multiply(inverse(X),Y)),multiply(multiply(inverse(X),W),
% inverse(multiply(Z,W))))
% Rule
% [298]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(c,inverse(c))),X),
% inverse(inverse(multiply(c,inverse(c)))))))) <->
% inverse(inverse(inverse(multiply(inverse(Y),multiply(Y,X))))) collapsed.
% Current number of equations to process: 3908
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [325]
% multiply(inverse(multiply(inverse(X),Y)),multiply(multiply(inverse(X),W),
% inverse(multiply(Z,W)))) <->
% inverse(inverse(inverse(multiply(Z,Y))))
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [326]
% multiply(multiply(inverse(X),Z),inverse(multiply(inverse(Y),Z))) <->
% multiply(multiply(inverse(X),multiply(Y,inverse(W))),inverse(inverse(
% inverse(
% inverse(W)))))
% Current number of equations to process: 3905
% Current number of ordered equations: 1
% Current number of rules: 169
% Rule [326]
% multiply(multiply(inverse(X),Z),inverse(multiply(inverse(Y),Z))) <->
% multiply(multiply(inverse(X),multiply(Y,inverse(W))),inverse(inverse(
% inverse(
% inverse(W))))) is composed into
% [326]
% multiply(multiply(inverse(X),Z),inverse(multiply(inverse(Y),Z))) <->
% multiply(multiply(inverse(X),c),inverse(multiply(inverse(Y),c)))
% New rule produced :
% [327]
% multiply(multiply(inverse(X),multiply(Y,inverse(W))),inverse(inverse(
% inverse(
% inverse(W)))))
% <-> multiply(multiply(inverse(X),Z),inverse(multiply(inverse(Y),Z)))
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [328]
% multiply(inverse(multiply(X,inverse(multiply(c,inverse(c))))),multiply(Y,
% inverse(Y))) ->
% inverse(X)
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [329]
% multiply(X,inverse(multiply(Y,multiply(W,multiply(X,inverse(multiply(Z,
% inverse(Z))))))))
% <-> multiply(multiply(inverse(W),V_4),inverse(multiply(Y,V_4)))
% Rule
% [206]
% inverse(multiply(X,inverse(multiply(Y,multiply(W,multiply(X,inverse(multiply(Z,
% inverse(Z)))))))))
% <-> inverse(multiply(multiply(inverse(W),V_4),inverse(multiply(Y,V_4))))
% collapsed.
% Current number of equations to process: 3914
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [330]
% multiply(multiply(inverse(W),V_4),inverse(multiply(Y,V_4))) <->
% multiply(X,inverse(multiply(Y,multiply(W,multiply(X,inverse(multiply(Z,
% inverse(Z))))))))
% Rule
% [205]
% inverse(multiply(multiply(inverse(W),V_4),inverse(multiply(Y,V_4)))) <->
% inverse(multiply(X,inverse(multiply(Y,multiply(W,multiply(X,inverse(multiply(Z,
% inverse(Z)))))))))
% collapsed.
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [331]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(c)))),X),inverse(
% multiply(
% inverse(Y),X))))
% ->
% multiply(c,inverse(multiply(c,multiply(Y,multiply(c,inverse(multiply(c,
% inverse(c))))))))
% Current number of equations to process: 3913
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [332]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(Y)))) ->
% multiply(c,inverse(c))
% Rule
% [266]
% multiply(X,inverse(multiply(inverse(c),multiply(c,multiply(Y,inverse(Y))))))
% <-> multiply(X,inverse(multiply(W,inverse(W)))) collapsed.
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [333]
% inverse(inverse(inverse(inverse(inverse(multiply(X,inverse(X))))))) <->
% multiply(c,inverse(c))
% Current number of equations to process: 3924
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [334]
% multiply(c,inverse(c)) <->
% inverse(inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))))
% Current number of equations to process: 3924
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [335]
% inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))) <->
% multiply(c,inverse(c))
% Rule
% [256]
% inverse(inverse(inverse(inverse(multiply(c,inverse(c)))))) ->
% multiply(c,inverse(c)) collapsed.
% Rule
% [289]
% multiply(inverse(inverse(inverse(inverse(multiply(Y,inverse(Y)))))),X) <->
% multiply(multiply(c,inverse(c)),X) collapsed.
% Current number of equations to process: 3926
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [336]
% multiply(c,inverse(c)) <->
% inverse(inverse(inverse(inverse(multiply(X,inverse(X))))))
% Rule
% [288]
% multiply(multiply(c,inverse(c)),X) <->
% multiply(inverse(inverse(inverse(inverse(multiply(Y,inverse(Y)))))),X)
% collapsed.
% Current number of equations to process: 3926
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [337]
% multiply(multiply(inverse(inverse(X)),Z),inverse(multiply(Y,Z))) <->
% multiply(inverse(inverse(inverse(inverse(X)))),inverse(multiply(Y,multiply(W,
% inverse(W)))))
% Current number of equations to process: 3930
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [338]
% multiply(inverse(inverse(inverse(inverse(X)))),inverse(multiply(Y,multiply(W,
% inverse(W)))))
% <-> multiply(multiply(inverse(inverse(X)),Z),inverse(multiply(Y,Z)))
% Current number of equations to process: 3930
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [339]
% multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))) <->
% multiply(multiply(inverse(X),multiply(Y,W)),inverse(multiply(inverse(Z),
% multiply(Z,W))))
% Current number of equations to process: 3962
% Current number of ordered equations: 1
% Current number of rules: 176
% Rule [339]
% multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))) <->
% multiply(multiply(inverse(X),multiply(Y,W)),inverse(multiply(inverse(Z),
% multiply(Z,W)))) is composed into
% [339]
% multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))) <->
% multiply(multiply(inverse(X),c),inverse(multiply(inverse(Y),c)))
% New rule produced :
% [340]
% multiply(multiply(inverse(X),multiply(Y,W)),inverse(multiply(inverse(Z),
% multiply(Z,W)))) <->
% multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4)))
% Rule
% [210]
% inverse(multiply(multiply(inverse(X),multiply(Y,W)),inverse(multiply(
% inverse(Z),
% multiply(Z,W)))))
% <->
% inverse(multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))))
% collapsed.
% Current number of equations to process: 3962
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [341]
% multiply(inverse(multiply(c,inverse(c))),inverse(multiply(X,Y))) <->
% multiply(multiply(inverse(multiply(inverse(W),multiply(W,Y))),Z),inverse(
% multiply(X,Z)))
% Current number of equations to process: 3961
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [342]
% multiply(multiply(inverse(multiply(inverse(W),multiply(W,Y))),Z),inverse(
% multiply(X,Z)))
% <-> multiply(inverse(multiply(c,inverse(c))),inverse(multiply(X,Y)))
% Current number of equations to process: 3961
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [343]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),
% inverse(inverse(multiply(X,inverse(X))))))) ->
% multiply(c,inverse(c))
% Current number of equations to process: 3959
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [344]
% inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),inverse(
% inverse(X))))
% <-> multiply(inverse(X),inverse(multiply(c,inverse(c))))
% Current number of equations to process: 3964
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [345]
% multiply(inverse(X),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),inverse(
% inverse(X))))
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [346]
% inverse(multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,multiply(
% multiply(
% inverse(Y),W),
% inverse(X))))))
% -> multiply(W,inverse(multiply(c,inverse(c))))
% Current number of equations to process: 4081
% Current number of ordered equations: 0
% Current number of rules: 182
% Rule [257]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(
% inverse(
% multiply(
% inverse(Y),
% multiply(Y,W))))))))
% <-> multiply(multiply(X,W),inverse(multiply(Z,inverse(Z)))) is composed into
% [257]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(inverse(
% multiply(
% inverse(Y),
% multiply(Y,W))))))))
% <->
% multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(multiply(
% inverse(c),
% multiply(
% multiply(X,W),
% inverse(c)))))))
% Rule [231]
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),
% inverse(multiply(Y,W)))) <->
% multiply(multiply(Y,W),inverse(multiply(Z,inverse(Z)))) is composed into
% [231]
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(
% multiply(Y,W))))
% <->
% multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(multiply(
% inverse(c),
% multiply(
% multiply(Y,W),
% inverse(c)))))))
% Rule [127]
% inverse(multiply(multiply(inverse(Y),V_4),inverse(multiply(X,V_4)))) <->
% multiply(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))),
% inverse(multiply(Z,inverse(Z)))) is composed into [127]
% inverse(multiply(
% multiply(
% inverse(Y),V_4),
% inverse(
% multiply(X,V_4))))
% <->
% multiply(c,inverse(
% multiply(
% inverse(
% inverse(
% inverse(c))),
% inverse(
% multiply(
% inverse(c),
% multiply(
% multiply(X,
% multiply(Y,
% inverse(
% multiply(W,
% inverse(W))))),
% inverse(c)))))))
% Rule [120]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W)))) <->
% multiply(multiply(Z,Y),inverse(multiply(V_4,inverse(V_4)))) is composed into
% [120]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W)))) <->
% multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(multiply(
% inverse(c),
% multiply(
% multiply(Z,Y),
% inverse(c)))))))
% Rule [82]
% inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(
% inverse(W)),Y))))
% <->
% multiply(W,multiply(multiply(X,inverse(multiply(Z,inverse(Z)))),
% inverse(multiply(V_4,inverse(V_4))))) is composed into
% [82]
% inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(inverse(W)),Y))))
% <->
% multiply(W,multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(
% multiply(
% inverse(c),
% multiply(
% multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))),
% inverse(c))))))))
% New rule produced :
% [347]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(multiply(inverse(inverse(inverse(Y))),inverse(multiply(
% inverse(X),
% multiply(W,
% inverse(Y)))))))
% Rule
% [83]
% multiply(W,multiply(multiply(X,inverse(multiply(Z,inverse(Z)))),inverse(
% multiply(V_4,
% inverse(V_4)))))
% <->
% inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(inverse(W)),Y))))
% collapsed.
% Rule
% [107]
% multiply(multiply(Y,X),inverse(multiply(W,inverse(W)))) <->
% inverse(multiply(c,inverse(multiply(multiply(inverse(c),multiply(c,c)),
% inverse(multiply(inverse(c),multiply(multiply(
% inverse(
% multiply(
% inverse(c),
% multiply(c,X))),
% inverse(Y)),c)))))))
% collapsed.
% Rule
% [119]
% multiply(multiply(Z,Y),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W)))) collapsed.
% Rule
% [128]
% multiply(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))),inverse(
% multiply(Z,
% inverse(Z))))
% <-> inverse(multiply(multiply(inverse(Y),V_4),inverse(multiply(X,V_4))))
% collapsed.
% Rule
% [166]
% multiply(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))),inverse(
% multiply(Z,
% inverse(Z))))
% <->
% inverse(multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(
% inverse(X),
% inverse(
% inverse(
% multiply(
% inverse(Y),
% inverse(X))))))))))
% collapsed.
% Rule
% [216]
% multiply(multiply(W,inverse(X)),inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(X)))),Y),inverse(
% multiply(W,Y))))
% collapsed.
% Rule
% [218]
% multiply(multiply(W,inverse(c)),inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(c)))),Y),inverse(
% multiply(W,Y))))
% collapsed.
% Rule
% [223]
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(Y)))) ->
% multiply(c,inverse(c)) collapsed.
% Rule
% [232]
% multiply(multiply(Y,W),inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(
% multiply(Y,W))))
% collapsed.
% Rule
% [258]
% multiply(multiply(X,W),inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(inverse(
% multiply(
% inverse(Y),
% multiply(Y,W))))))))
% collapsed.
% Current number of equations to process: 4090
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [348]
% multiply(X,inverse(multiply(inverse(inverse(inverse(Y))),inverse(multiply(
% inverse(X),
% multiply(W,
% inverse(Y)))))))
% <-> multiply(W,inverse(multiply(Z,inverse(Z))))
% Current number of equations to process: 4090
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [349]
% multiply(inverse(c),multiply(c,multiply(X,multiply(c,inverse(multiply(c,
% multiply(X,
% multiply(c,
% inverse(
% multiply(c,
% inverse(c)))))))))))
% -> inverse(inverse(inverse(c)))
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [350]
% multiply(multiply(inverse(X),Z),inverse(multiply(inverse(inverse(W)),Z))) <->
% multiply(multiply(inverse(X),multiply(Y,inverse(Y))),inverse(inverse(
% inverse(
% inverse(
% inverse(W))))))
% Current number of equations to process: 4088
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [351]
% multiply(multiply(inverse(X),multiply(Y,inverse(Y))),inverse(inverse(
% inverse(
% inverse(
% inverse(W))))))
% <-> multiply(multiply(inverse(X),Z),inverse(multiply(inverse(inverse(W)),Z)))
% Current number of equations to process: 4088
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [352]
% multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))) <->
% multiply(multiply(inverse(X),multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W))
% Current number of equations to process: 4302
% Current number of ordered equations: 1
% Current number of rules: 178
% Rule [352]
% multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))) <->
% multiply(multiply(inverse(X),multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W)) is composed into [352]
% multiply(multiply(inverse(X),V_4),inverse(
% multiply(
% inverse(Y),V_4)))
% <->
% multiply(multiply(inverse(X),c),inverse(
% multiply(
% inverse(Y),c)))
% New rule produced :
% [353]
% multiply(multiply(inverse(X),multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W)) <->
% multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4)))
% Rule
% [249]
% inverse(multiply(multiply(inverse(X),multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W))) <->
% inverse(multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))))
% collapsed.
% Current number of equations to process: 4302
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [354]
% inverse(inverse(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))))) <->
% multiply(inverse(inverse(X)),Y)
% Current number of equations to process: 4470
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [355]
% multiply(inverse(inverse(X)),Y) <->
% inverse(inverse(multiply(X,multiply(Y,inverse(multiply(W,inverse(W)))))))
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [356]
% inverse(inverse(inverse(multiply(inverse(multiply(c,inverse(c))),inverse(
% multiply(X,Y))))))
% -> multiply(X,Y)
% Current number of equations to process: 4544
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [357]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(X),
% multiply(X,Y))),W))))))
% <-> multiply(inverse(multiply(inverse(Z),multiply(Z,W))),Y)
% Current number of equations to process: 4543
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [358]
% multiply(inverse(multiply(inverse(Z),multiply(Z,W))),Y) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(X),
% multiply(X,Y))),W))))))
% Current number of equations to process: 4543
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [359]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(W,Y)))))))) <->
% multiply(inverse(inverse(W)),X)
% Current number of equations to process: 4653
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [360]
% multiply(inverse(inverse(W)),X) <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(W,Y))))))))
% Current number of equations to process: 4653
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [361]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(multiply(inverse(W),Z),
% inverse(multiply(V_4,Z)))))) <->
% multiply(inverse(inverse(Y)),multiply(inverse(W),inverse(V_4)))
% Current number of equations to process: 4858
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [362]
% multiply(inverse(inverse(Y)),multiply(inverse(W),inverse(V_4))) <->
% multiply(inverse(X),multiply(X,multiply(Y,multiply(multiply(inverse(W),Z),
% inverse(multiply(V_4,Z))))))
% Current number of equations to process: 4858
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [363]
% multiply(multiply(inverse(X),W),inverse(multiply(inverse(multiply(inverse(Z),
% multiply(Z,Y))),W)))
% <-> multiply(multiply(inverse(X),Y),inverse(inverse(multiply(c,inverse(c)))))
% Current number of equations to process: 4857
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [364]
% multiply(multiply(inverse(X),Y),inverse(inverse(multiply(c,inverse(c))))) <->
% multiply(multiply(inverse(X),W),inverse(multiply(inverse(multiply(inverse(Z),
% multiply(Z,Y))),W)))
% Current number of equations to process: 4857
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [365]
% multiply(c,inverse(multiply(inverse(inverse(inverse(X))),inverse(multiply(
% inverse(c),
% inverse(
% inverse(
% inverse(
% multiply(c,
% inverse(c))))))))))
% -> inverse(inverse(X))
% Current number of equations to process: 4856
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% <->
% multiply(W,inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),
% inverse(inverse(X)))))
% Current number of equations to process: 4855
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [367]
% multiply(W,inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),
% inverse(inverse(X))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% Current number of equations to process: 4855
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [368]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(c,
% inverse(c)),
% inverse(multiply(inverse(Y),
% inverse(inverse(W)))))))))
% -> W
% Current number of equations to process: 4853
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [369]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(inverse(
% inverse(
% inverse(
% multiply(X,
% inverse(X)))))),Y),
% inverse(multiply(W,Y)))))))) -> W
% Current number of equations to process: 4852
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [370]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(inverse(W),multiply(W,Z)))))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(Y,multiply(inverse(V_5),multiply(V_5,Z)))))
% Rule
% [203]
% multiply(inverse(Z),multiply(Z,multiply(X,multiply(inverse(V_4),multiply(V_4,W)))))
% <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(inverse(Y),multiply(Y,W)))))
% collapsed.
% Rule
% [204]
% multiply(inverse(c),multiply(c,multiply(X,multiply(inverse(Y),multiply(Y,W)))))
% <->
% multiply(inverse(Z),multiply(Z,multiply(X,multiply(inverse(V_4),multiply(V_4,W)))))
% collapsed.
% Current number of equations to process: 3508
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [371]
% multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(multiply(
% inverse(c),
% multiply(
% multiply(X,
% inverse(X)),
% inverse(c)))))))
% -> multiply(c,inverse(c))
% Current number of equations to process: 3518
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [372]
% multiply(multiply(multiply(X,inverse(multiply(c,inverse(c)))),Z),inverse(
% multiply(W,Z)))
% <->
% multiply(multiply(multiply(X,inverse(multiply(c,inverse(c)))),Y),inverse(
% multiply(W,Y)))
% Current number of equations to process: 3517
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [373]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(
% inverse(W),
% multiply(
% inverse(inverse(
% inverse(
% inverse(W)))),Y)))))
% -> multiply(c,inverse(c))
% Current number of equations to process: 3516
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [374]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(Y),Z),
% inverse(multiply(X,Z)))))))) <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,inverse(multiply(W,
% inverse(W)))))))
% Current number of equations to process: 3515
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [375]
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,inverse(multiply(W,
% inverse(W)))))))
% <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(Y),Z),
% inverse(multiply(X,Z))))))))
% Current number of equations to process: 3515
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [376]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(W),V_4),
% inverse(multiply(Y,V_4)))))))) <->
% multiply(inverse(X),multiply(X,multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))))
% Rule
% [374]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(Y),Z),
% inverse(multiply(X,Z)))))))) <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,inverse(multiply(W,
% inverse(W)))))))
% collapsed.
% Current number of equations to process: 3514
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [377]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))))
% <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(W),V_4),
% inverse(multiply(Y,V_4))))))))
% Rule
% [375]
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,inverse(multiply(W,
% inverse(W)))))))
% <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(Y),Z),
% inverse(multiply(X,Z))))))))
% collapsed.
% Current number of equations to process: 3514
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [378]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(inverse(inverse(multiply(c,
% inverse(c))))))))
% <->
% multiply(inverse(c),multiply(c,multiply(Y,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% Current number of equations to process: 3513
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [379]
% multiply(inverse(c),multiply(c,multiply(Y,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% <->
% multiply(inverse(X),multiply(X,multiply(Y,inverse(inverse(inverse(multiply(c,
% inverse(c))))))))
% Current number of equations to process: 3513
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [380]
% multiply(inverse(Y),multiply(Y,multiply(X,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% <->
% multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(inverse(multiply(c,
% inverse(c))))))))
% Current number of equations to process: 3512
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [381]
% multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(inverse(multiply(c,
% inverse(c))))))))
% <->
% multiply(inverse(Y),multiply(Y,multiply(X,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% Current number of equations to process: 3512
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [382]
% inverse(multiply(Y,inverse(Y))) <->
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(multiply(c,
% inverse(c))))))))
% Current number of equations to process: 3602
% Current number of ordered equations: 1
% Current number of rules: 203
% Rule [382]
% inverse(multiply(Y,inverse(Y))) <->
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(
% inverse(X),
% inverse(
% multiply(c,
% inverse(c)))))))) is composed into
% [382] inverse(multiply(Y,inverse(Y))) <-> inverse(multiply(c,inverse(c)))
% New rule produced :
% [383]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(multiply(c,
% inverse(c))))))))
% <-> inverse(multiply(Y,inverse(Y)))
% Current number of equations to process: 3602
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [384]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(
% multiply(
% inverse(c),
% multiply(c,Y)))))))))
% -> Y
% Current number of equations to process: 3609
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [385]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(
% multiply(
% inverse(Y),
% multiply(Y,W)))))))))
% -> W
% Rule
% [208]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(
% multiply(
% inverse(X),
% multiply(X,Y)))))))))
% -> Y collapsed.
% Rule
% [212]
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(c),
% inverse(inverse(
% multiply(
% inverse(Y),
% multiply(Y,X)))))))))
% -> X collapsed.
% Rule
% [384]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(
% multiply(
% inverse(c),
% multiply(c,Y)))))))))
% -> Y collapsed.
% Current number of equations to process: 3621
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [386]
% multiply(inverse(X),inverse(inverse(inverse(multiply(multiply(c,inverse(c)),
% inverse(multiply(X,inverse(
% inverse(Y)))))))))
% -> Y
% Current number of equations to process: 3772
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [387]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(Y),
% inverse(Z))),V_4),inverse(
% multiply(X,V_4))))))
% <-> multiply(X,multiply(multiply(inverse(Y),W),inverse(multiply(Z,W))))
% Current number of equations to process: 3807
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [388]
% multiply(X,multiply(multiply(inverse(Y),W),inverse(multiply(Z,W)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(Y),
% inverse(Z))),V_4),inverse(
% multiply(X,V_4))))))
% Current number of equations to process: 3807
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [389]
% inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),multiply(multiply(W,
% inverse(W)),
% multiply(X,inverse(
% multiply(Z,
% inverse(Z)))))))))
% -> inverse(inverse(Y))
% Current number of equations to process: 3806
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [390]
% multiply(multiply(inverse(X),inverse(multiply(inverse(inverse(Y)),W))),
% inverse(inverse(Y))) <->
% multiply(multiply(inverse(X),Z),inverse(multiply(multiply(inverse(multiply(V_4,
% inverse(V_4))),W),Z)))
% Current number of equations to process: 3805
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [391]
% multiply(multiply(inverse(X),Z),inverse(multiply(multiply(inverse(multiply(V_4,
% inverse(V_4))),W),Z)))
% <->
% multiply(multiply(inverse(X),inverse(multiply(inverse(inverse(Y)),W))),
% inverse(inverse(Y)))
% Current number of equations to process: 3805
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [392]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(X),multiply(Y,inverse(multiply(multiply(c,inverse(c)),
% inverse(multiply(inverse(Y),inverse(
% inverse(X))))))))
% Current number of equations to process: 3804
% Current number of ordered equations: 1
% Current number of rules: 210
% Rule [392]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <->
% multiply(inverse(X),multiply(Y,inverse(multiply(multiply(c,inverse(c)),
% inverse(multiply(inverse(Y),
% inverse(inverse(X)))))))) is composed into
% [392]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <->
% inverse(inverse(inverse(multiply(c,inverse(c)))))
% New rule produced :
% [393]
% multiply(inverse(X),multiply(Y,inverse(multiply(multiply(c,inverse(c)),
% inverse(multiply(inverse(Y),inverse(
% inverse(X))))))))
% <-> inverse(inverse(inverse(multiply(W,inverse(W)))))
% Current number of equations to process: 3804
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [394]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(inverse(X)),Y)),W),
% inverse(multiply(Z,W)))))) <->
% multiply(Z,multiply(X,multiply(Y,inverse(multiply(V_4,inverse(V_4))))))
% Current number of equations to process: 3803
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [395]
% multiply(Z,multiply(X,multiply(Y,inverse(multiply(V_4,inverse(V_4)))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(inverse(X)),Y)),W),
% inverse(multiply(Z,W))))))
% Current number of equations to process: 3803
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [396]
% inverse(inverse(multiply(c,inverse(multiply(inverse(inverse(inverse(c))),
% inverse(multiply(inverse(c),multiply(
% multiply(X,Y),
% inverse(c)))))))))
% -> multiply(X,Y)
% Current number of equations to process: 3802
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [397]
% multiply(inverse(multiply(inverse(X),multiply(X,multiply(inverse(Y),multiply(Y,W))))),
% multiply(inverse(Z),multiply(Z,W))) -> inverse(multiply(c,inverse(c)))
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [398]
% multiply(X,multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(
% multiply(
% inverse(c),
% multiply(
% multiply(
% inverse(X),Y),
% inverse(c))))))))
% -> Y
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [399]
% inverse(inverse(inverse(multiply(X,inverse(multiply(Y,multiply(multiply(W,
% inverse(W)),
% multiply(X,inverse(
% multiply(Z,
% inverse(Z)))))))))))
% -> inverse(inverse(Y))
% Rule
% [296]
% inverse(inverse(inverse(multiply(X,inverse(multiply(Y,multiply(multiply(c,
% inverse(c)),
% multiply(X,inverse(
% multiply(W,
% inverse(W)))))))))))
% -> inverse(inverse(Y)) collapsed.
% Current number of equations to process: 3822
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [400]
% inverse(inverse(inverse(multiply(inverse(multiply(X,inverse(X))),inverse(Y)))))
% -> Y
% Rule
% [356]
% inverse(inverse(inverse(multiply(inverse(multiply(c,inverse(c))),inverse(
% multiply(X,Y))))))
% -> multiply(X,Y) collapsed.
% Current number of equations to process: 3902
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c,inverse(c)),X),inverse(
% multiply(Y,X))))))
% -> inverse(multiply(inverse(multiply(c,inverse(c))),inverse(Y)))
% Current number of equations to process: 3903
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [402]
% inverse(inverse(inverse(multiply(multiply(inverse(W),Z),inverse(multiply(X,Z))))))
% <-> multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),inverse(W))))
% Current number of equations to process: 3905
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [403]
% multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),inverse(W)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(W),Z),inverse(multiply(X,Z))))))
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [404]
% multiply(inverse(X),inverse(multiply(inverse(multiply(Y,inverse(Y))),
% inverse(X)))) ->
% inverse(inverse(inverse(multiply(c,inverse(c)))))
% Current number of equations to process: 3909
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [405]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(inverse(multiply(c,
% inverse(c))),
% inverse(W)))))) <->
% multiply(inverse(inverse(Y)),W)
% Current number of equations to process: 3910
% Current number of ordered equations: 1
% Current number of rules: 221
% Rule [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),
% inverse(multiply(W,Y)))))) <->
% multiply(W,inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),
% inverse(inverse(X))))) is composed into [366]
% inverse(
% inverse(
% inverse(
% multiply(
% multiply(
% inverse(
% inverse(X)),Y),
% inverse(
% multiply(W,Y))))))
% <->
% multiply(W,
% inverse(
% multiply(
% inverse(c),
% multiply(c,
% multiply(
% inverse(
% multiply(c,
% inverse(c))),
% inverse(
% multiply(
% inverse(
% multiply(c,
% inverse(c))),
% inverse(
% inverse(
% inverse(X))))))))))
% Rule [345]
% multiply(inverse(X),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),
% inverse(inverse(X)))) is composed into [345]
% multiply(inverse(X),
% inverse(multiply(c,
% inverse(c)))) <->
% inverse(multiply(
% inverse(c),
% multiply(c,
% multiply(
% inverse(multiply(c,
% inverse(c))),
% inverse(multiply(
% inverse(
% multiply(c,
% inverse(c))),
% inverse(
% inverse(
% inverse(X)))))))))
% Rule [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(multiply(W,
% inverse(W)),Y))))))))
% -> multiply(inverse(inverse(multiply(c,inverse(c)))),X) is composed into
% [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(multiply(W,inverse(W)),Y))))))))
% ->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),inverse(
% multiply(
% inverse(
% multiply(c,
% inverse(c))),
% inverse(X))))))
% Rule [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(inverse(inverse(multiply(c,inverse(c)))),X) is composed into
% [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),inverse(
% multiply(
% inverse(
% multiply(c,
% inverse(c))),
% inverse(X))))))
% New rule produced :
% [406]
% multiply(inverse(inverse(Y)),W) <->
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(inverse(multiply(c,
% inverse(c))),
% inverse(W))))))
% Rule
% [147]
% multiply(inverse(inverse(inverse(multiply(W,inverse(W))))),multiply(inverse(
% inverse(
% multiply(c,
% inverse(c)))),Y))
% <-> multiply(inverse(X),multiply(X,Y)) collapsed.
% Rule
% [150]
% multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),multiply(inverse(
% inverse(
% multiply(W,
% inverse(W)))),Y))
% <-> multiply(inverse(X),multiply(X,Y)) collapsed.
% Rule
% [156]
% multiply(inverse(inverse(multiply(c,inverse(c)))),X) <->
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% collapsed.
% Rule
% [269]
% inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),inverse(
% multiply(
% inverse(Y),
% multiply(Y,X)))))
% -> X collapsed.
% Rule
% [344]
% inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),inverse(
% inverse(X))))
% <-> multiply(inverse(X),inverse(multiply(c,inverse(c)))) collapsed.
% Rule
% [367]
% multiply(W,inverse(multiply(inverse(inverse(inverse(multiply(c,inverse(c))))),
% inverse(inverse(X))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% collapsed.
% Current number of equations to process: 3915
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [407]
% inverse(inverse(inverse(multiply(W,multiply(inverse(X),inverse(multiply(Z,
% inverse(Z))))))))
% <->
% multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),inverse(inverse(W)))))
% Current number of equations to process: 3935
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [408]
% multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),inverse(inverse(W)))))
% <->
% inverse(inverse(inverse(multiply(W,multiply(inverse(X),inverse(multiply(Z,
% inverse(Z))))))))
% Current number of equations to process: 3935
% Current number of ordered equations: 0
% Current number of rules: 218
% Rule [350]
% multiply(multiply(inverse(X),Z),inverse(multiply(inverse(inverse(W)),Z)))
% <->
% multiply(multiply(inverse(X),multiply(Y,inverse(Y))),inverse(inverse(
% inverse(
% inverse(
% inverse(W)))))) is composed into
% [350]
% multiply(multiply(inverse(X),Z),inverse(multiply(inverse(inverse(W)),Z))) ->
% multiply(inverse(inverse(inverse(X))),inverse(inverse(inverse(inverse(
% inverse(W))))))
% Rule [337]
% multiply(multiply(inverse(inverse(X)),Z),inverse(multiply(Y,Z))) <->
% multiply(inverse(inverse(inverse(inverse(X)))),inverse(multiply(Y,
% multiply(W,
% inverse(W))))) is composed into
% [337]
% multiply(multiply(inverse(inverse(X)),Z),inverse(multiply(Y,Z))) ->
% multiply(inverse(inverse(inverse(inverse(X)))),inverse(inverse(inverse(Y))))
% New rule produced :
% [409] multiply(X,multiply(Y,inverse(Y))) -> inverse(inverse(X))
% Rule
% [180]
% multiply(inverse(inverse(Y)),multiply(W,inverse(W))) <->
% multiply(inverse(X),multiply(X,inverse(inverse(Y)))) collapsed.
% Rule [226] multiply(X,multiply(c,inverse(c))) -> inverse(inverse(X))
% collapsed.
% Rule
% [317]
% multiply(inverse(c),multiply(X,inverse(X))) -> inverse(inverse(inverse(c)))
% collapsed.
% Rule
% [328]
% multiply(inverse(multiply(X,inverse(multiply(c,inverse(c))))),multiply(Y,
% inverse(Y))) ->
% inverse(X) collapsed.
% Rule
% [332]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(Y)))) ->
% multiply(c,inverse(c)) collapsed.
% Rule
% [338]
% multiply(inverse(inverse(inverse(inverse(X)))),inverse(multiply(Y,multiply(W,
% inverse(W)))))
% <-> multiply(multiply(inverse(inverse(X)),Z),inverse(multiply(Y,Z)))
% collapsed.
% Rule
% [351]
% multiply(multiply(inverse(X),multiply(Y,inverse(Y))),inverse(inverse(
% inverse(
% inverse(
% inverse(W))))))
% <-> multiply(multiply(inverse(X),Z),inverse(multiply(inverse(inverse(W)),Z)))
% collapsed.
% Current number of equations to process: 3949
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [410]
% inverse(multiply(c,inverse(c))) <->
% inverse(inverse(inverse(multiply(X,inverse(X)))))
% Current number of equations to process: 3958
% Current number of ordered equations: 1
% Current number of rules: 213
% Rule [404]
% multiply(inverse(X),inverse(multiply(inverse(multiply(Y,inverse(Y))),
% inverse(X)))) ->
% inverse(inverse(inverse(multiply(c,inverse(c))))) is composed into
% [404]
% multiply(inverse(X),inverse(multiply(inverse(multiply(Y,inverse(Y))),
% inverse(X)))) -> inverse(multiply(c,inverse(c)))
% Rule [392]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <->
% inverse(inverse(inverse(multiply(c,inverse(c))))) is composed into
% [392]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <->
% inverse(multiply(c,inverse(c)))
% Rule [380]
% multiply(inverse(Y),multiply(Y,multiply(X,inverse(inverse(inverse(
% multiply(W,
% inverse(W))))))))
% <->
% multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(inverse(
% multiply(c,
% inverse(c)))))))) is composed into
% [380]
% multiply(inverse(Y),multiply(Y,multiply(X,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% <->
% multiply(inverse(c),multiply(c,multiply(X,inverse(multiply(c,inverse(c))))))
% Rule [379]
% multiply(inverse(c),multiply(c,multiply(Y,inverse(inverse(inverse(
% multiply(W,
% inverse(W))))))))
% <->
% multiply(inverse(X),multiply(X,multiply(Y,inverse(inverse(inverse(
% multiply(c,
% inverse(c)))))))) is composed into
% [379]
% multiply(inverse(c),multiply(c,multiply(Y,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% <->
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(c,inverse(c))))))
% Rule [236]
% inverse(inverse(inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(multiply(c,inverse(c))))) is composed into
% [236]
% inverse(inverse(inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(c,inverse(c)))
% Rule [228]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <->
% inverse(inverse(inverse(multiply(c,inverse(c))))) is composed into
% [228]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <->
% inverse(multiply(c,inverse(c)))
% Rule [201]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(
% inverse(
% multiply(c,
% inverse(c))))))))
% <->
% multiply(c,inverse(multiply(inverse(X),inverse(multiply(inverse(c),
% inverse(inverse(inverse(
% multiply(c,
% inverse(c)))))))))) is composed into
% [201]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(inverse(
% multiply(c,
% inverse(c))))))))
% <->
% multiply(c,inverse(multiply(inverse(X),inverse(multiply(inverse(c),inverse(
% multiply(c,
% inverse(c))))))))
% Rule [185]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <->
% multiply(c,inverse(multiply(inverse(X),inverse(multiply(inverse(c),
% inverse(inverse(inverse(
% multiply(c,
% inverse(c)))))))))) is composed into
% [185]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <->
% multiply(c,inverse(multiply(inverse(X),inverse(multiply(inverse(c),inverse(
% multiply(c,
% inverse(c))))))))
% Rule [184]
% inverse(multiply(multiply(inverse(multiply(X,inverse(X))),Y),inverse(
% multiply(W,Y))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(multiply(inverse(c),
% inverse(inverse(inverse(
% multiply(c,
% inverse(c)))))))))) is composed into
% [184]
% inverse(multiply(multiply(inverse(multiply(X,inverse(X))),Y),inverse(
% multiply(W,Y))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(multiply(inverse(c),inverse(
% multiply(c,
% inverse(c))))))))
% Rule [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(multiply(inverse(c),
% inverse(inverse(inverse(
% multiply(c,
% inverse(c)))))))))) is composed into
% [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(multiply(inverse(c),inverse(
% multiply(c,
% inverse(c))))))))
% New rule produced :
% [411]
% inverse(inverse(inverse(multiply(X,inverse(X))))) <->
% inverse(multiply(c,inverse(c)))
% Rule
% [365]
% multiply(c,inverse(multiply(inverse(inverse(inverse(X))),inverse(multiply(
% inverse(c),
% inverse(
% inverse(
% inverse(
% multiply(c,
% inverse(c))))))))))
% -> inverse(inverse(X)) collapsed.
% Rule
% [378]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(inverse(inverse(multiply(c,
% inverse(c))))))))
% <->
% multiply(inverse(c),multiply(c,multiply(Y,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% collapsed.
% Rule
% [381]
% multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(inverse(multiply(c,
% inverse(c))))))))
% <->
% multiply(inverse(Y),multiply(Y,multiply(X,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% collapsed.
% Current number of equations to process: 3961
% Current number of ordered equations: 0
% Current number of rules: 211
% Rule [363]
% multiply(multiply(inverse(X),W),inverse(multiply(inverse(multiply(
% inverse(Z),
% multiply(Z,Y))),W)))
% <->
% multiply(multiply(inverse(X),Y),inverse(inverse(multiply(c,inverse(c))))) is composed into
% [363]
% multiply(multiply(inverse(X),W),inverse(multiply(inverse(multiply(inverse(Z),
% multiply(Z,Y))),W)))
% <-> multiply(multiply(inverse(X),Y),multiply(c,inverse(c)))
% New rule produced :
% [412] inverse(inverse(multiply(c,inverse(c)))) <-> multiply(X,inverse(X))
% Rule
% [201]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(inverse(
% multiply(c,
% inverse(c))))))))
% <->
% multiply(c,inverse(multiply(inverse(X),inverse(multiply(inverse(c),inverse(
% multiply(c,
% inverse(c))))))))
% collapsed.
% Rule
% [364]
% multiply(multiply(inverse(X),Y),inverse(inverse(multiply(c,inverse(c))))) <->
% multiply(multiply(inverse(X),W),inverse(multiply(inverse(multiply(inverse(Z),
% multiply(Z,Y))),W)))
% collapsed.
% Current number of equations to process: 3996
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [413]
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(X))) <->
% multiply(X,inverse(multiply(Y,inverse(Y))))
% Rule
% [254]
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(Y))) <->
% multiply(Y,inverse(multiply(c,inverse(c)))) collapsed.
% Current number of equations to process: 3995
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [414]
% multiply(X,inverse(multiply(Y,inverse(Y)))) <->
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(X)))
% Rule
% [255]
% multiply(Y,inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(Y))) collapsed.
% Current number of equations to process: 3995
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [415]
% multiply(inverse(Z),multiply(Z,W)) <->
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(Y,inverse(Y)),W))
% Current number of equations to process: 3994
% Current number of ordered equations: 1
% Current number of rules: 211
% Rule [415]
% multiply(inverse(Z),multiply(Z,W)) <->
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(Y,inverse(Y)),W)) is composed into
% [415]
% multiply(inverse(Z),multiply(Z,W)) <-> multiply(inverse(c),multiply(c,W))
% New rule produced :
% [416]
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(Y,inverse(Y)),W))
% <-> multiply(inverse(Z),multiply(Z,W))
% Rule
% [145]
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(c,inverse(c)),Y))
% <-> multiply(inverse(W),multiply(W,Y)) collapsed.
% Rule
% [149]
% multiply(inverse(multiply(c,inverse(c))),multiply(multiply(X,inverse(X)),Y))
% <-> multiply(inverse(W),multiply(W,Y)) collapsed.
% Rule
% [233]
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(Y,inverse(Y)),
% multiply(W,inverse(multiply(Z,
% inverse(Z))))))
% -> W collapsed.
% Current number of equations to process: 3994
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [417]
% multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z))) <->
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(inverse(W)))))
% Current number of equations to process: 3993
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [418]
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(inverse(W))))) <->
% multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z)))
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [419]
% inverse(multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),
% inverse(inverse(inverse(X))))))) ->
% inverse(inverse(X))
% Current number of equations to process: 3994
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [420]
% inverse(multiply(inverse(c),multiply(c,multiply(inverse(multiply(X,inverse(X))),
% inverse(inverse(inverse(Y))))))) ->
% inverse(inverse(Y))
% Rule
% [419]
% inverse(multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),
% inverse(inverse(inverse(X))))))) ->
% inverse(inverse(X)) collapsed.
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [421]
% multiply(inverse(Y),inverse(multiply(W,inverse(W)))) <->
% multiply(inverse(X),inverse(multiply(Y,inverse(X))))
% Current number of equations to process: 4013
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [422]
% multiply(inverse(X),inverse(multiply(Y,inverse(X)))) <->
% multiply(inverse(Y),inverse(multiply(W,inverse(W))))
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [423]
% multiply(c,inverse(multiply(inverse(inverse(inverse(X))),inverse(multiply(
% inverse(c),
% inverse(
% multiply(c,
% inverse(c))))))))
% -> inverse(inverse(X))
% Current number of equations to process: 4017
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [424]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(multiply(multiply(Y,inverse(Y)),inverse(multiply(inverse(X),
% inverse(inverse(W)))))))
% Rule
% [187]
% multiply(Y,inverse(multiply(W,inverse(W)))) <->
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(Y)))))))
% collapsed.
% Current number of equations to process: 4016
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [425]
% multiply(X,inverse(multiply(multiply(Y,inverse(Y)),inverse(multiply(inverse(X),
% inverse(inverse(W)))))))
% <-> multiply(W,inverse(multiply(Z,inverse(Z))))
% Rule
% [189]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(Y)))))))
% <-> multiply(Y,inverse(multiply(W,inverse(W)))) collapsed.
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [426]
% inverse(multiply(X,inverse(X))) <->
% multiply(c,inverse(multiply(inverse(c),multiply(c,multiply(multiply(c,
% inverse(c)),
% inverse(inverse(c)))))))
% Current number of equations to process: 4015
% Current number of ordered equations: 1
% Current number of rules: 216
% Rule [426]
% inverse(multiply(X,inverse(X))) <->
% multiply(c,inverse(multiply(inverse(c),multiply(c,multiply(multiply(c,
% inverse(c)),
% inverse(inverse(c))))))) is composed into
% [426] inverse(multiply(X,inverse(X))) <-> inverse(multiply(c,inverse(c)))
% New rule produced :
% [427]
% multiply(c,inverse(multiply(inverse(c),multiply(c,multiply(multiply(c,
% inverse(c)),
% inverse(inverse(c)))))))
% <-> inverse(multiply(X,inverse(X)))
% Current number of equations to process: 4015
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [428]
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(inverse(multiply(X,
% inverse(X)))),
% inverse(Y))) ->
% inverse(inverse(inverse(Y)))
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [429]
% multiply(inverse(inverse(multiply(Y,inverse(Y)))),multiply(inverse(X),
% inverse(multiply(W,
% inverse(W))))) ->
% inverse(X)
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [430]
% multiply(multiply(inverse(X),W),inverse(multiply(inverse(multiply(inverse(Z),
% multiply(Z,Y))),W)))
% -> inverse(inverse(multiply(inverse(X),Y)))
% Rule
% [363]
% multiply(multiply(inverse(X),W),inverse(multiply(inverse(multiply(inverse(Z),
% multiply(Z,Y))),W)))
% <-> multiply(multiply(inverse(X),Y),multiply(c,inverse(c))) collapsed.
% Current number of equations to process: 4020
% Current number of ordered equations: 0
% Current number of rules: 219
% Rule [414]
% multiply(X,inverse(multiply(Y,inverse(Y)))) <->
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(X))) is composed into
% [414]
% multiply(X,inverse(multiply(Y,inverse(Y)))) <->
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(c),
% inverse(inverse(X)))))))
% Rule [406]
% multiply(inverse(inverse(Y)),W) <->
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(inverse(
% multiply(c,
% inverse(c))),
% inverse(W)))))) is composed into
% [406]
% multiply(inverse(inverse(Y)),W) <->
% multiply(inverse(X),multiply(X,multiply(Y,multiply(c,inverse(multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% inverse(c),
% inverse(
% inverse(W))))))))))
% Rule [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c,inverse(c)),X),
% inverse(multiply(Y,X)))))) ->
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(Y))) is composed into
% [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c,inverse(c)),X),inverse(
% multiply(Y,X))))))
% ->
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(c),
% inverse(inverse(Y)))))))
% Rule [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),
% inverse(multiply(W,Y)))))) <->
% multiply(W,inverse(multiply(inverse(c),multiply(c,multiply(inverse(
% multiply(c,
% inverse(c))),
% inverse(multiply(
% inverse(
% multiply(c,
% inverse(c))),
% inverse(
% inverse(
% inverse(X)))))))))) is composed into
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% <->
% multiply(W,inverse(multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,
% inverse(c))),
% multiply(c,inverse(
% multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% inverse(c),
% inverse(
% inverse(
% inverse(
% inverse(X))))))))))))))
% Rule [345]
% multiply(inverse(X),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,
% inverse(c))),
% inverse(multiply(inverse(
% multiply(c,
% inverse(c))),
% inverse(inverse(inverse(X))))))))) is composed into
% [345]
% multiply(inverse(X),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),
% multiply(c,inverse(multiply(multiply(c,
% inverse(c)),
% inverse(multiply(
% inverse(c),
% inverse(
% inverse(
% inverse(
% inverse(X)))))))))))))
% Rule [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(multiply(W,
% inverse(W)),Y))))))))
% ->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),inverse(
% multiply(
% inverse(
% multiply(c,
% inverse(c))),
% inverse(X)))))) is composed into
% [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(multiply(W,inverse(W)),Y))))))))
% ->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),multiply(c,
% inverse(
% multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% inverse(c),
% inverse(
% inverse(X))))))))))
% Rule [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),inverse(
% multiply(
% inverse(
% multiply(c,
% inverse(c))),
% inverse(X)))))) is composed into
% [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),multiply(c,
% inverse(
% multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% inverse(c),
% inverse(
% inverse(X))))))))))
% New rule produced :
% [431]
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(Y))) <->
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(Y)))))))
% Rule
% [272]
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(inverse(inverse(
% multiply(
% inverse(X),
% multiply(X,Y)))))))
% -> multiply(inverse(c),multiply(c,Y)) collapsed.
% Rule
% [405]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(inverse(multiply(c,
% inverse(c))),
% inverse(W)))))) <->
% multiply(inverse(inverse(Y)),W) collapsed.
% Rule
% [413]
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(X))) <->
% multiply(X,inverse(multiply(Y,inverse(Y)))) collapsed.
% Current number of equations to process: 4022
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [432]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(Y)))))))
% <->
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(c),
% inverse(inverse(Y)))))))
% Current number of equations to process: 4021
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [433]
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(c),
% inverse(inverse(Y)))))))
% <->
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(Y)))))))
% Current number of equations to process: 4021
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [434]
% multiply(inverse(W),multiply(W,Y)) <->
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(inverse(multiply(X,
% inverse(X)))),Y))
% Current number of equations to process: 4041
% Current number of ordered equations: 1
% Current number of rules: 220
% Rule [434]
% multiply(inverse(W),multiply(W,Y)) <->
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(inverse(
% multiply(X,
% inverse(X)))),Y)) is composed into
% [434]
% multiply(inverse(W),multiply(W,Y)) <-> multiply(inverse(c),multiply(c,Y))
% New rule produced :
% [435]
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(inverse(multiply(X,
% inverse(X)))),Y))
% <-> multiply(inverse(W),multiply(W,Y))
% Rule
% [428]
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(inverse(multiply(X,
% inverse(X)))),
% inverse(Y))) ->
% inverse(inverse(inverse(Y))) collapsed.
% Current number of equations to process: 4041
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [436]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(W,inverse(W))),Y)))
% <->
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(X),multiply(X,Y)))
% Current number of equations to process: 4040
% Current number of ordered equations: 1
% Current number of rules: 221
% Rule [436]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(W,inverse(W))),Y)))
% <->
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(X),multiply(X,Y))) is composed into
% [436]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(W,inverse(W))),Y)))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),Y)))
% New rule produced :
% [437]
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(X),multiply(X,Y)))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(W,inverse(W))),Y)))
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 222
% Rule [380]
% multiply(inverse(Y),multiply(Y,multiply(X,inverse(inverse(inverse(
% multiply(W,
% inverse(W))))))))
% <->
% multiply(inverse(c),multiply(c,multiply(X,inverse(multiply(c,inverse(c)))))) is composed into
% [380]
% multiply(inverse(Y),multiply(Y,multiply(X,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% <-> multiply(inverse(c),multiply(c,inverse(inverse(inverse(inverse(X))))))
% Rule [379]
% multiply(inverse(c),multiply(c,multiply(Y,inverse(inverse(inverse(
% multiply(W,
% inverse(W))))))))
% <->
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(c,inverse(c)))))) is composed into
% [379]
% multiply(inverse(c),multiply(c,multiply(Y,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% <-> multiply(inverse(X),multiply(X,inverse(inverse(inverse(inverse(Y))))))
% Rule [346]
% inverse(multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,
% multiply(multiply(
% inverse(Y),W),
% inverse(X)))))) ->
% multiply(W,inverse(multiply(c,inverse(c)))) is composed into [346]
% inverse(
% multiply(
% inverse(
% inverse(
% inverse(X))),
% inverse(
% multiply(Y,
% multiply(
% multiply(
% inverse(Y),W),
% inverse(X))))))
% ->
% inverse(
% inverse(
% inverse(
% inverse(W))))
% Rule [331]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(c)))),X),
% inverse(multiply(inverse(Y),X)))) ->
% multiply(c,inverse(multiply(c,multiply(Y,multiply(c,inverse(multiply(c,
% inverse(c)))))))) is composed into
% [331]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(c)))),X),inverse(
% multiply(
% inverse(Y),X))))
% ->
% multiply(c,inverse(multiply(c,multiply(Y,inverse(inverse(inverse(inverse(c))))))))
% Rule [265]
% multiply(X,inverse(multiply(W,inverse(W)))) <->
% multiply(X,inverse(multiply(c,inverse(c)))) is composed into [265]
% multiply(X,
% inverse(
% multiply(W,
% inverse(W))))
% ->
% inverse(
% inverse(
% inverse(
% inverse(X))))
% Rule [259]
% inverse(multiply(X,inverse(multiply(Y,inverse(inverse(inverse(multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% multiply(
% inverse(Y),W),
% inverse(
% inverse(X))))))))))))
% -> multiply(W,inverse(multiply(c,inverse(c)))) is composed into
% [259]
% inverse(multiply(X,inverse(multiply(Y,inverse(inverse(inverse(multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% multiply(
% inverse(Y),W),
% inverse(
% inverse(X))))))))))))
% -> inverse(inverse(inverse(inverse(W))))
% Rule [185]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <->
% multiply(c,inverse(multiply(inverse(X),inverse(multiply(inverse(c),
% inverse(multiply(c,
% inverse(c)))))))) is composed into
% [185]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <->
% multiply(c,inverse(multiply(inverse(X),inverse(inverse(inverse(inverse(
% inverse(
% inverse(c)))))))))
% Rule [184]
% inverse(multiply(multiply(inverse(multiply(X,inverse(X))),Y),inverse(
% multiply(W,Y))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(multiply(inverse(c),
% inverse(multiply(c,
% inverse(c)))))))) is composed into
% [184]
% inverse(multiply(multiply(inverse(multiply(X,inverse(X))),Y),inverse(
% multiply(W,Y))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(inverse(inverse(inverse(
% inverse(
% inverse(c)))))))))
% Rule [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(multiply(inverse(c),
% inverse(multiply(c,
% inverse(c)))))))) is composed into
% [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(inverse(inverse(inverse(
% inverse(
% inverse(c)))))))))
% Rule [121]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(
% inverse(W),Z),Y)))))
% -> multiply(Z,inverse(multiply(c,inverse(c)))) is composed into
% [121]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(
% inverse(W),Z),Y)))))
% -> inverse(inverse(inverse(inverse(Z))))
% Rule [47]
% multiply(inverse(inverse(X)),Y) <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,inverse(multiply(c,
% inverse(c))))))) is composed into
% [47]
% multiply(inverse(inverse(X)),Y) ->
% multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(inverse(inverse(Y)))))))
% New rule produced :
% [438]
% multiply(X,inverse(multiply(c,inverse(c)))) ->
% inverse(inverse(inverse(inverse(X))))
% Rule
% [220]
% multiply(Y,inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(inverse(multiply(inverse(X),inverse(inverse(X)))),inverse(Y)))
% collapsed.
% Rule [316] inverse(inverse(multiply(X,inverse(multiply(c,inverse(c)))))) -> X
% collapsed.
% Rule
% [345]
% multiply(inverse(X),inverse(multiply(c,inverse(c)))) <->
% inverse(multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),
% multiply(c,inverse(multiply(multiply(c,
% inverse(c)),
% inverse(multiply(
% inverse(c),
% inverse(
% inverse(
% inverse(
% inverse(X)))))))))))))
% collapsed.
% Rule
% [349]
% multiply(inverse(c),multiply(c,multiply(X,multiply(c,inverse(multiply(c,
% multiply(X,
% multiply(c,
% inverse(
% multiply(c,
% inverse(c)))))))))))
% -> inverse(inverse(inverse(c))) collapsed.
% Rule
% [372]
% multiply(multiply(multiply(X,inverse(multiply(c,inverse(c)))),Z),inverse(
% multiply(W,Z)))
% <->
% multiply(multiply(multiply(X,inverse(multiply(c,inverse(c)))),Y),inverse(
% multiply(W,Y)))
% collapsed.
% Rule
% [383]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(multiply(c,
% inverse(c))))))))
% <-> inverse(multiply(Y,inverse(Y))) collapsed.
% Rule
% [423]
% multiply(c,inverse(multiply(inverse(inverse(inverse(X))),inverse(multiply(
% inverse(c),
% inverse(
% multiply(c,
% inverse(c))))))))
% -> inverse(inverse(X)) collapsed.
% Current number of equations to process: 4059
% Current number of ordered equations: 0
% Current number of rules: 216
% Rule [314]
% multiply(X,multiply(inverse(Y),inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(
% inverse(Y),
% inverse(
% multiply(W,
% inverse(W))))))))))) is composed into
% [314]
% multiply(X,multiply(inverse(Y),inverse(multiply(Z,inverse(Z))))) <->
% multiply(X,multiply(inverse(Y),inverse(multiply(W,inverse(W)))))
% Rule [312]
% multiply(X,multiply(inverse(W),inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(
% inverse(
% inverse(X)),Y),
% inverse(multiply(W,Y))))))))) is composed into
% [312]
% multiply(X,multiply(inverse(W),inverse(multiply(Z,inverse(Z))))) <->
% multiply(multiply(inverse(inverse(X)),Y),inverse(multiply(W,Y)))
% Rule [185]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <->
% multiply(c,inverse(multiply(inverse(X),inverse(inverse(inverse(inverse(
% inverse(
% inverse(c))))))))) is composed into
% [185]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <-> multiply(c,inverse(multiply(inverse(X),c)))
% Rule [184]
% inverse(multiply(multiply(inverse(multiply(X,inverse(X))),Y),inverse(
% multiply(W,Y))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(inverse(inverse(inverse(
% inverse(
% inverse(c))))))))) is composed into
% [184]
% inverse(multiply(multiply(inverse(multiply(X,inverse(X))),Y),inverse(
% multiply(W,Y))))
% <-> multiply(c,inverse(multiply(inverse(W),c)))
% Rule [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% <->
% multiply(c,inverse(multiply(inverse(W),inverse(inverse(inverse(inverse(
% inverse(
% inverse(c))))))))) is composed into
% [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% <-> multiply(c,inverse(multiply(inverse(W),c)))
% New rule produced :
% [439] inverse(inverse(inverse(inverse(inverse(inverse(X)))))) -> X
% Rule
% [311]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(
% inverse(X)),Y),
% inverse(multiply(W,Y)))))))))
% <-> multiply(X,multiply(inverse(W),inverse(multiply(Z,inverse(Z)))))
% collapsed.
% Rule
% [313]
% inverse(inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),
% inverse(multiply(W,
% inverse(W)))))))))))
% <-> multiply(X,multiply(inverse(Y),inverse(multiply(Z,inverse(Z)))))
% collapsed.
% Current number of equations to process: 4059
% Current number of ordered equations: 0
% Current number of rules: 215
% Rule [432]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(
% inverse(X),
% inverse(
% inverse(Y)))))))
% <->
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(
% inverse(c),
% inverse(
% inverse(Y))))))) is composed into
% [432]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(Y)))))))
% -> inverse(inverse(inverse(inverse(Y))))
% Rule [414]
% multiply(X,inverse(multiply(Y,inverse(Y)))) <->
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(
% inverse(c),
% inverse(
% inverse(X))))))) is composed into
% [414]
% multiply(X,inverse(multiply(Y,inverse(Y)))) ->
% inverse(inverse(inverse(inverse(X))))
% Rule [406]
% multiply(inverse(inverse(Y)),W) <->
% multiply(inverse(X),multiply(X,multiply(Y,multiply(c,inverse(multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% inverse(c),
% inverse(
% inverse(W)))))))))) is composed into
% [406]
% multiply(inverse(inverse(Y)),W) <->
% multiply(inverse(X),multiply(X,multiply(Y,inverse(inverse(inverse(inverse(W)))))))
% Rule [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c,inverse(c)),X),
% inverse(multiply(Y,X)))))) ->
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(
% inverse(c),
% inverse(
% inverse(Y))))))) is composed into
% [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c,inverse(c)),X),inverse(
% multiply(Y,X))))))
% -> inverse(inverse(inverse(inverse(Y))))
% Rule [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),
% inverse(multiply(W,Y)))))) <->
% multiply(W,inverse(multiply(inverse(c),multiply(c,multiply(inverse(
% multiply(c,
% inverse(c))),
% multiply(c,inverse(
% multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% inverse(c),
% inverse(
% inverse(
% inverse(
% inverse(X)))))))))))))) is composed into
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% <->
% multiply(W,inverse(multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,
% inverse(c))),
% inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(X)))))))))))
% Rule [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(multiply(W,
% inverse(W)),Y))))))))
% ->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),multiply(c,
% inverse(
% multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% inverse(c),
% inverse(
% inverse(X)))))))))) is composed into
% [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(multiply(W,inverse(W)),Y))))))))
% ->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),inverse(
% inverse(
% inverse(
% inverse(X)))))))
% Rule [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),multiply(c,
% inverse(
% multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% inverse(c),
% inverse(
% inverse(X)))))))))) is composed into
% [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),inverse(
% inverse(
% inverse(
% inverse(X)))))))
% New rule produced :
% [440]
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(c),
% inverse(inverse(Y)))))))
% -> inverse(inverse(inverse(inverse(Y))))
% Rule
% [433]
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(c),
% inverse(inverse(Y)))))))
% <->
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(Y)))))))
% collapsed.
% Current number of equations to process: 4058
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [441]
% multiply(multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(inverse(
% inverse(Y))))))),
% inverse(multiply(W,Y))) ->
% multiply(X,inverse(inverse(inverse(inverse(inverse(W))))))
% Current number of equations to process: 4057
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [442]
% multiply(c,inverse(multiply(inverse(c),multiply(c,multiply(inverse(X),
% inverse(inverse(inverse(
% inverse(c)))))))))
% -> inverse(inverse(X))
% Current number of equations to process: 4056
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [443]
% inverse(multiply(Y,inverse(Y))) <->
% multiply(X,inverse(multiply(multiply(c,inverse(c)),X)))
% Current number of equations to process: 4057
% Current number of ordered equations: 1
% Current number of rules: 218
% Rule [443]
% inverse(multiply(Y,inverse(Y))) <->
% multiply(X,inverse(multiply(multiply(c,inverse(c)),X))) is composed into
% [443] inverse(multiply(Y,inverse(Y))) <-> inverse(multiply(c,inverse(c)))
% New rule produced :
% [444]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),X))) <->
% inverse(multiply(Y,inverse(Y)))
% Current number of equations to process: 4057
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [445]
% multiply(multiply(inverse(c),multiply(c,multiply(inverse(c),multiply(c,
% multiply(X,
% inverse(inverse(Z))))))),
% inverse(multiply(W,Z))) <->
% multiply(multiply(inverse(c),multiply(c,multiply(inverse(c),multiply(c,
% multiply(X,
% inverse(inverse(Y))))))),
% inverse(multiply(W,Y)))
% Current number of equations to process: 4057
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [446]
% multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(multiply(Y,
% inverse(Y))))))) ->
% inverse(inverse(inverse(inverse(X))))
% Rule
% [343]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),
% inverse(inverse(multiply(X,inverse(X))))))) ->
% multiply(c,inverse(c)) collapsed.
% Current number of equations to process: 4061
% Current number of ordered equations: 0
% Current number of rules: 220
% Rule [443]
% inverse(multiply(Y,inverse(Y))) <-> inverse(multiply(c,inverse(c))) is composed into
% [443] inverse(multiply(Y,inverse(Y))) <-> multiply(c,inverse(c))
% Rule [436]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(W,inverse(W))),Y)))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),Y))) is composed into
% [436]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(W,inverse(W))),Y)))
% <-> multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),Y)))
% Rule [426]
% inverse(multiply(X,inverse(X))) <-> inverse(multiply(c,inverse(c))) is composed into
% [426] inverse(multiply(X,inverse(X))) <-> multiply(c,inverse(c))
% Rule [411]
% inverse(inverse(inverse(multiply(X,inverse(X))))) <->
% inverse(multiply(c,inverse(c))) is composed into [411]
% inverse(inverse(
% inverse(
% multiply(X,
% inverse(X)))))
% <->
% multiply(c,inverse(c))
% Rule [404]
% multiply(inverse(X),inverse(multiply(inverse(multiply(Y,inverse(Y))),
% inverse(X)))) ->
% inverse(multiply(c,inverse(c))) is composed into [404]
% multiply(inverse(X),
% inverse(multiply(
% inverse(
% multiply(Y,
% inverse(Y))),
% inverse(X))))
% ->
% multiply(c,inverse(c))
% Rule [397]
% multiply(inverse(multiply(inverse(X),multiply(X,multiply(inverse(Y),
% multiply(Y,W))))),
% multiply(inverse(Z),multiply(Z,W))) -> inverse(multiply(c,inverse(c))) is composed into
% [397]
% multiply(inverse(multiply(inverse(X),multiply(X,multiply(inverse(Y),multiply(Y,W))))),
% multiply(inverse(Z),multiply(Z,W))) -> multiply(c,inverse(c))
% Rule [392]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <->
% inverse(multiply(c,inverse(c))) is composed into [392]
% inverse(inverse(
% inverse(
% multiply(W,
% inverse(W)))))
% <->
% multiply(c,inverse(c))
% Rule [382]
% inverse(multiply(Y,inverse(Y))) <-> inverse(multiply(c,inverse(c))) is composed into
% [382] inverse(multiply(Y,inverse(Y))) <-> multiply(c,inverse(c))
% Rule [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),
% inverse(multiply(W,Y)))))) <->
% multiply(W,inverse(multiply(inverse(c),multiply(c,multiply(inverse(
% multiply(c,
% inverse(c))),
% inverse(inverse(
% inverse(
% inverse(
% inverse(
% inverse(X))))))))))) is composed into
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% <->
% multiply(W,inverse(multiply(inverse(c),multiply(c,multiply(multiply(c,
% inverse(c)),
% inverse(inverse(inverse(
% inverse(
% inverse(
% inverse(X)))))))))))
% Rule [342]
% multiply(multiply(inverse(multiply(inverse(W),multiply(W,Y))),Z),
% inverse(multiply(X,Z))) <->
% multiply(inverse(multiply(c,inverse(c))),inverse(multiply(X,Y))) is composed into
% [342]
% multiply(multiply(inverse(multiply(inverse(W),multiply(W,Y))),Z),inverse(
% multiply(X,Z)))
% <-> multiply(multiply(c,inverse(c)),inverse(multiply(X,Y)))
% Rule [290]
% multiply(inverse(Y),multiply(Y,multiply(inverse(multiply(W,inverse(W))),X)))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),X))) is composed into
% [290]
% multiply(inverse(Y),multiply(Y,multiply(inverse(multiply(W,inverse(W))),X)))
% <-> multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),X)))
% Rule [280]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(X,inverse(X))),Y)))
% <->
% multiply(inverse(W),multiply(W,multiply(inverse(multiply(c,inverse(c))),Y))) is composed into
% [280]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(X,inverse(X))),Y)))
% <-> multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),Y)))
% Rule [236]
% inverse(inverse(inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(c,inverse(c))) is composed into [236]
% inverse(inverse(
% inverse(
% multiply(Z,
% inverse(Z)))))
% <->
% multiply(c,inverse(c))
% Rule [228]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <->
% inverse(multiply(c,inverse(c))) is composed into [228]
% inverse(inverse(
% inverse(
% multiply(W,
% inverse(W)))))
% <->
% multiply(c,inverse(c))
% New rule produced :
% [447] inverse(multiply(c,inverse(c))) -> multiply(c,inverse(c))
% Rule
% [143]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(c,
% inverse(c))),Y),
% inverse(multiply(W,Y)))))) ->
% inverse(inverse(W)) collapsed.
% Rule
% [185]
% inverse(multiply(multiply(inverse(multiply(c,inverse(c))),W),inverse(
% multiply(X,W))))
% <-> multiply(c,inverse(multiply(inverse(X),c))) collapsed.
% Rule
% [275]
% multiply(inverse(inverse(inverse(X))),inverse(multiply(multiply(inverse(
% multiply(c,
% inverse(c))),Y),
% inverse(multiply(X,Y))))) ->
% inverse(multiply(c,inverse(c))) collapsed.
% Rule
% [279]
% multiply(inverse(W),multiply(W,multiply(inverse(multiply(c,inverse(c))),Y)))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(X,inverse(X))),Y)))
% collapsed.
% Rule
% [291]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(c,inverse(c))),X)))
% <->
% multiply(inverse(Y),multiply(Y,multiply(inverse(multiply(W,inverse(W))),X)))
% collapsed.
% Rule
% [295]
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(inverse(inverse(
% inverse(
% multiply(W,
% inverse(W)))))),Y))
% <-> multiply(inverse(X),multiply(X,Y)) collapsed.
% Rule
% [299]
% multiply(inverse(multiply(c,inverse(c))),inverse(inverse(inverse(multiply(
% multiply(
% inverse(X),Y),
% inverse(
% multiply(
% multiply(W,
% inverse(W)),Y)))))))
% -> X collapsed.
% Rule
% [341]
% multiply(inverse(multiply(c,inverse(c))),inverse(multiply(X,Y))) <->
% multiply(multiply(inverse(multiply(inverse(W),multiply(W,Y))),Z),inverse(
% multiply(X,Z)))
% collapsed.
% Rule
% [410]
% inverse(multiply(c,inverse(c))) <->
% inverse(inverse(inverse(multiply(X,inverse(X))))) collapsed.
% Rule
% [412] inverse(inverse(multiply(c,inverse(c)))) <-> multiply(X,inverse(X))
% collapsed.
% Rule
% [431]
% inverse(multiply(inverse(multiply(c,inverse(c))),inverse(Y))) <->
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(Y)))))))
% collapsed.
% Rule
% [435]
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(inverse(multiply(X,
% inverse(X)))),Y))
% <-> multiply(inverse(W),multiply(W,Y)) collapsed.
% Rule
% [437]
% multiply(inverse(multiply(c,inverse(c))),multiply(inverse(X),multiply(X,Y)))
% <->
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(W,inverse(W))),Y)))
% collapsed.
% Rule
% [438]
% multiply(X,inverse(multiply(c,inverse(c)))) ->
% inverse(inverse(inverse(inverse(X)))) collapsed.
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 207
% Rule [446]
% multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(multiply(Y,
% inverse(Y)))))))
% -> inverse(inverse(inverse(inverse(X)))) is composed into [446]
% multiply(
% inverse(c),
% multiply(c,
% multiply(X,
% inverse(
% inverse(
% multiply(Y,
% inverse(Y)))))))
% ->
% inverse(
% inverse(X))
% Rule [440]
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(
% inverse(c),
% inverse(
% inverse(Y)))))))
% -> inverse(inverse(inverse(inverse(Y)))) is composed into [440]
% multiply(c,
% inverse(
% multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% inverse(c),
% inverse(
% inverse(Y)))))))
% ->
% inverse(
% inverse(Y))
% Rule [432]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(
% inverse(X),
% inverse(
% inverse(Y)))))))
% -> inverse(inverse(inverse(inverse(Y)))) is composed into [432]
% multiply(X,
% inverse(
% multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% inverse(X),
% inverse(
% inverse(Y)))))))
% ->
% inverse(
% inverse(Y))
% Rule [414]
% multiply(X,inverse(multiply(Y,inverse(Y)))) ->
% inverse(inverse(inverse(inverse(X)))) is composed into [414]
% multiply(X,
% inverse(multiply(Y,
% inverse(Y))))
% ->
% inverse(inverse(X))
% Rule [406]
% multiply(inverse(inverse(Y)),W) <->
% multiply(inverse(X),multiply(X,multiply(Y,inverse(inverse(inverse(
% inverse(W))))))) is composed into
% [406]
% multiply(inverse(inverse(Y)),W) <->
% multiply(inverse(X),multiply(X,multiply(Y,inverse(inverse(W)))))
% Rule [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c,inverse(c)),X),
% inverse(multiply(Y,X)))))) ->
% inverse(inverse(inverse(inverse(Y)))) is composed into [401]
% inverse(inverse(
% inverse(
% multiply(
% multiply(
% multiply(c,
% inverse(c)),X),
% inverse(
% multiply(Y,X))))))
% ->
% inverse(inverse(Y))
% Rule [380]
% multiply(inverse(Y),multiply(Y,multiply(X,inverse(inverse(inverse(
% multiply(W,
% inverse(W))))))))
% <->
% multiply(inverse(c),multiply(c,inverse(inverse(inverse(inverse(X)))))) is composed into
% [380]
% multiply(inverse(Y),multiply(Y,multiply(X,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% <-> multiply(inverse(c),multiply(c,inverse(inverse(X))))
% Rule [379]
% multiply(inverse(c),multiply(c,multiply(Y,inverse(inverse(inverse(
% multiply(W,
% inverse(W))))))))
% <->
% multiply(inverse(X),multiply(X,inverse(inverse(inverse(inverse(Y)))))) is composed into
% [379]
% multiply(inverse(c),multiply(c,multiply(Y,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% <-> multiply(inverse(X),multiply(X,inverse(inverse(Y))))
% Rule [377]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))))
% <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(W),V_4),
% inverse(multiply(Y,V_4)))))))) is composed into
% [377]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(W),V_4),inverse(multiply(Y,V_4))))))
% Rule [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),
% inverse(multiply(W,Y)))))) <->
% multiply(W,inverse(multiply(inverse(c),multiply(c,multiply(multiply(c,
% inverse(c)),
% inverse(inverse(
% inverse(
% inverse(
% inverse(
% inverse(X))))))))))) is composed into
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% <->
% multiply(W,inverse(multiply(inverse(c),multiply(c,multiply(multiply(c,
% inverse(c)),
% inverse(inverse(X)))))))
% Rule [360]
% multiply(inverse(inverse(W)),X) <->
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(W,Y)))))))) is composed into
% [360]
% multiply(inverse(inverse(W)),X) <->
% inverse(inverse(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(W,Y))))))
% Rule [358]
% multiply(inverse(multiply(inverse(Z),multiply(Z,W))),Y) <->
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(
% inverse(X),
% multiply(X,Y))),W)))))) is composed into
% [358]
% multiply(inverse(multiply(inverse(Z),multiply(Z,W))),Y) <->
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W))))
% Rule [350]
% multiply(multiply(inverse(X),Z),inverse(multiply(inverse(inverse(W)),Z)))
% ->
% multiply(inverse(inverse(inverse(X))),inverse(inverse(inverse(inverse(
% inverse(W)))))) is composed into
% [350]
% multiply(multiply(inverse(X),Z),inverse(multiply(inverse(inverse(W)),Z))) ->
% multiply(inverse(inverse(inverse(X))),inverse(inverse(inverse(W))))
% Rule [346]
% inverse(multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,
% multiply(multiply(
% inverse(Y),W),
% inverse(X)))))) ->
% inverse(inverse(inverse(inverse(W)))) is composed into [346]
% inverse(multiply(
% inverse(
% inverse(
% inverse(X))),
% inverse(
% multiply(Y,
% multiply(
% multiply(
% inverse(Y),W),
% inverse(X))))))
% ->
% inverse(inverse(W))
% Rule [337]
% multiply(multiply(inverse(inverse(X)),Z),inverse(multiply(Y,Z))) ->
% multiply(inverse(inverse(inverse(inverse(X)))),inverse(inverse(inverse(Y)))) is composed into
% [337]
% multiply(multiply(inverse(inverse(X)),Z),inverse(multiply(Y,Z))) ->
% multiply(inverse(inverse(X)),inverse(inverse(inverse(Y))))
% Rule [336]
% multiply(c,inverse(c)) <->
% inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))) is composed into
% [336] multiply(c,inverse(c)) <-> inverse(inverse(multiply(X,inverse(X))))
% Rule [334]
% multiply(c,inverse(c)) <->
% inverse(inverse(inverse(inverse(inverse(multiply(X,inverse(X))))))) is composed into
% [334]
% multiply(c,inverse(c)) <-> inverse(inverse(inverse(multiply(X,inverse(X)))))
% Rule [321]
% multiply(W,inverse(X)) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(
% inverse(X)))),Y),
% inverse(multiply(W,Y)))))) is composed into
% [321]
% multiply(W,inverse(X)) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% Rule [306]
% multiply(inverse(inverse(Y)),inverse(X)) <->
% inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),
% inverse(multiply(W,
% inverse(W)))))))))) is composed into
% [306]
% multiply(inverse(inverse(Y)),inverse(X)) <->
% inverse(inverse(inverse(multiply(X,multiply(inverse(Y),inverse(multiply(W,
% inverse(W))))))))
% Rule [265]
% multiply(X,inverse(multiply(W,inverse(W)))) ->
% inverse(inverse(inverse(inverse(X)))) is composed into [265]
% multiply(X,
% inverse(multiply(W,
% inverse(W))))
% ->
% inverse(inverse(X))
% Rule [261]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(
% inverse(
% multiply(X,
% inverse(X)))))),Y),
% inverse(multiply(W,Y)))))) is composed into
% [261]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,
% inverse(X)))),Y),
% inverse(multiply(W,Y))))))
% Rule [259]
% inverse(multiply(X,inverse(multiply(Y,inverse(inverse(inverse(multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% multiply(
% inverse(Y),W),
% inverse(
% inverse(X))))))))))))
% -> inverse(inverse(inverse(inverse(W)))) is composed into [259]
% inverse(
% multiply(X,
% inverse(
% multiply(Y,
% inverse(
% inverse(
% inverse(
% multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% multiply(
% inverse(Y),W),
% inverse(
% inverse(X))))))))))))
% ->
% inverse(
% inverse(W))
% Rule [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),inverse(
% inverse(
% inverse(
% inverse(X))))))) is composed into
% [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),inverse(
% inverse(X)))))
% Rule [121]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(
% inverse(W),Z),Y)))))
% -> inverse(inverse(inverse(inverse(Z)))) is composed into [121]
% inverse(
% multiply(
% multiply(
% inverse(X),
% multiply(X,Y)),
% inverse(
% multiply(W,
% multiply(
% multiply(
% inverse(W),Z),Y)))))
% ->
% inverse(
% inverse(Z))
% Rule [47]
% multiply(inverse(inverse(X)),Y) ->
% multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(inverse(
% inverse(Y))))))) is composed into
% [47]
% multiply(inverse(inverse(X)),Y) ->
% multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(Y)))))
% New rule produced :
% [448] inverse(inverse(inverse(inverse(X)))) -> inverse(inverse(X))
% Rule
% [260]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(
% multiply(X,
% inverse(X)))))),Y),
% inverse(multiply(W,Y)))))) <->
% multiply(W,inverse(multiply(Z,inverse(Z)))) collapsed.
% Rule
% [300]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(multiply(W,inverse(W)),Y))))))))
% ->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),inverse(
% inverse(
% inverse(
% inverse(X)))))))
% collapsed.
% Rule
% [303]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(X)))),Y),inverse(
% multiply(
% inverse(
% inverse(W)),Y))))
% <->
% inverse(inverse(inverse(multiply(X,multiply(inverse(W),inverse(multiply(Z,
% inverse(Z))))))))
% collapsed.
% Rule
% [305]
% inverse(inverse(inverse(inverse(inverse(multiply(X,multiply(inverse(Y),
% inverse(multiply(W,
% inverse(W))))))))))
% <-> multiply(inverse(inverse(Y)),inverse(X)) collapsed.
% Rule
% [320]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(inverse(X)))),Y),
% inverse(multiply(W,Y)))))) <-> multiply(W,inverse(X))
% collapsed.
% Rule
% [327]
% multiply(multiply(inverse(X),multiply(Y,inverse(W))),inverse(inverse(
% inverse(
% inverse(W)))))
% <-> multiply(multiply(inverse(X),Z),inverse(multiply(inverse(Y),Z)))
% collapsed.
% Rule
% [331]
% inverse(multiply(multiply(inverse(inverse(inverse(inverse(c)))),X),inverse(
% multiply(
% inverse(Y),X))))
% ->
% multiply(c,inverse(multiply(c,multiply(Y,inverse(inverse(inverse(inverse(c))))))))
% collapsed.
% Rule
% [333]
% inverse(inverse(inverse(inverse(inverse(multiply(X,inverse(X))))))) <->
% multiply(c,inverse(c)) collapsed.
% Rule
% [335]
% inverse(inverse(inverse(inverse(multiply(X,inverse(X)))))) <->
% multiply(c,inverse(c)) collapsed.
% Rule
% [357]
% inverse(inverse(inverse(inverse(inverse(multiply(inverse(multiply(inverse(X),
% multiply(X,Y))),W))))))
% <-> multiply(inverse(multiply(inverse(Z),multiply(Z,W))),Y) collapsed.
% Rule
% [359]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(W,Y)))))))) <->
% multiply(inverse(inverse(W)),X) collapsed.
% Rule
% [369]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(inverse(
% inverse(
% inverse(
% multiply(X,
% inverse(X)))))),Y),
% inverse(multiply(W,Y)))))))) -> W
% collapsed.
% Rule
% [373]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(
% inverse(W),
% multiply(
% inverse(inverse(
% inverse(
% inverse(W)))),Y)))))
% -> multiply(c,inverse(c)) collapsed.
% Rule
% [376]
% inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(W),V_4),
% inverse(multiply(Y,V_4)))))))) <->
% multiply(inverse(X),multiply(X,multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))))
% collapsed.
% Rule [439] inverse(inverse(inverse(inverse(inverse(inverse(X)))))) -> X
% collapsed.
% Rule
% [441]
% multiply(multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(inverse(
% inverse(Y))))))),
% inverse(multiply(W,Y))) ->
% multiply(X,inverse(inverse(inverse(inverse(inverse(W)))))) collapsed.
% Rule
% [442]
% multiply(c,inverse(multiply(inverse(c),multiply(c,multiply(inverse(X),
% inverse(inverse(inverse(
% inverse(c)))))))))
% -> inverse(inverse(X)) collapsed.
% Current number of equations to process: 4088
% Current number of ordered equations: 0
% Current number of rules: 191
% Rule [430]
% multiply(multiply(inverse(X),W),inverse(multiply(inverse(multiply(
% inverse(Z),
% multiply(Z,Y))),W)))
% -> inverse(inverse(multiply(inverse(X),Y))) is composed into [430]
% multiply(
% multiply(
% inverse(X),W),
% inverse(
% multiply(
% inverse(
% multiply(
% inverse(Z),
% multiply(Z,Y))),W)))
% ->
% multiply(
% inverse(X),Y)
% Rule [424]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(multiply(multiply(Y,inverse(Y)),inverse(multiply(
% inverse(X),
% inverse(
% inverse(W))))))) is composed into
% [424]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(multiply(multiply(Y,inverse(Y)),inverse(multiply(inverse(X),W)))))
% Rule [417]
% multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z))) <->
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(inverse(W))))) is composed into
% [417]
% multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z))) <->
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,W)))
% Rule [414] multiply(X,inverse(multiply(Y,inverse(Y)))) -> inverse(inverse(X)) is composed into
% [414] multiply(X,inverse(multiply(Y,inverse(Y)))) -> X
% Rule [409] multiply(X,multiply(Y,inverse(Y))) -> inverse(inverse(X)) is composed into
% [409] multiply(X,multiply(Y,inverse(Y))) -> X
% Rule [403]
% multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),inverse(W))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(W),Z),inverse(
% multiply(X,Z)))))) is composed into
% [403]
% multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),inverse(W)))) <->
% inverse(multiply(multiply(inverse(W),Z),inverse(multiply(X,Z))))
% Rule [395]
% multiply(Z,multiply(X,multiply(Y,inverse(multiply(V_4,inverse(V_4))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(
% inverse(X)),Y)),W),
% inverse(multiply(Z,W)))))) is composed into
% [395]
% multiply(Z,multiply(X,multiply(Y,inverse(multiply(V_4,inverse(V_4)))))) <->
% inverse(multiply(multiply(inverse(multiply(X,Y)),W),inverse(multiply(Z,W))))
% Rule [391]
% multiply(multiply(inverse(X),Z),inverse(multiply(multiply(inverse(
% multiply(V_4,
% inverse(V_4))),W),Z)))
% <->
% multiply(multiply(inverse(X),inverse(multiply(inverse(inverse(Y)),W))),
% inverse(inverse(Y))) is composed into [391]
% multiply(multiply(inverse(X),Z),
% inverse(multiply(multiply(
% inverse(multiply(V_4,
% inverse(V_4))),W),Z)))
% <->
% multiply(multiply(inverse(X),
% inverse(multiply(Y,W))),Y)
% Rule [388]
% multiply(X,multiply(multiply(inverse(Y),W),inverse(multiply(Z,W)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(Y),
% inverse(Z))),V_4),
% inverse(multiply(X,V_4)))))) is composed into
% [388]
% multiply(X,multiply(multiply(inverse(Y),W),inverse(multiply(Z,W)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(Y),inverse(Z))),V_4),
% inverse(multiply(X,V_4))))
% Rule [377]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(W),V_4),inverse(
% multiply(Y,V_4)))))) is composed into
% [377]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))))
% <-> inverse(multiply(multiply(inverse(W),V_4),inverse(multiply(Y,V_4))))
% Rule [361]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(multiply(inverse(W),Z),
% inverse(multiply(V_4,Z))))))
% <-> multiply(inverse(inverse(Y)),multiply(inverse(W),inverse(V_4))) is composed into
% [361]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(multiply(inverse(W),Z),
% inverse(multiply(V_4,Z)))))) ->
% multiply(Y,multiply(inverse(W),inverse(V_4)))
% Rule [358]
% multiply(inverse(multiply(inverse(Z),multiply(Z,W))),Y) <->
% inverse(inverse(inverse(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W)))) is composed into
% [358]
% multiply(inverse(multiply(inverse(Z),multiply(Z,W))),Y) <->
% inverse(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W))
% Rule [347]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(multiply(inverse(inverse(inverse(Y))),inverse(
% multiply(
% inverse(X),
% multiply(W,
% inverse(Y))))))) is composed into
% [347]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(multiply(inverse(Y),inverse(multiply(inverse(X),multiply(W,
% inverse(Y)))))))
% Rule [336]
% multiply(c,inverse(c)) <-> inverse(inverse(multiply(X,inverse(X)))) is composed into
% [336] multiply(c,inverse(c)) <-> multiply(X,inverse(X))
% Rule [334]
% multiply(c,inverse(c)) <->
% inverse(inverse(inverse(multiply(X,inverse(X))))) is composed into
% [334] multiply(c,inverse(c)) <-> inverse(multiply(X,inverse(X)))
% Rule [325]
% multiply(inverse(multiply(inverse(X),Y)),multiply(multiply(inverse(X),W),
% inverse(multiply(Z,W)))) <->
% inverse(inverse(inverse(multiply(Z,Y)))) is composed into [325]
% multiply(
% inverse(
% multiply(
% inverse(X),Y)),
% multiply(
% multiply(
% inverse(X),W),
% inverse(
% multiply(Z,W))))
% <->
% inverse(
% multiply(Z,Y))
% Rule [321]
% multiply(W,inverse(X)) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),
% inverse(multiply(W,Y)))))) is composed into
% [321]
% multiply(W,inverse(X)) <->
% inverse(multiply(multiply(X,Y),inverse(multiply(W,Y))))
% Rule [318]
% multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z))) <->
% multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,multiply(W,
% inverse(X))))) is composed into
% [318]
% multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z))) <->
% multiply(inverse(X),inverse(multiply(Y,multiply(W,inverse(X)))))
% Rule [312]
% multiply(X,multiply(inverse(W),inverse(multiply(Z,inverse(Z))))) <->
% multiply(multiply(inverse(inverse(X)),Y),inverse(multiply(W,Y))) is composed into
% [312]
% multiply(X,multiply(inverse(W),inverse(multiply(Z,inverse(Z))))) <->
% multiply(multiply(X,Y),inverse(multiply(W,Y)))
% Rule [308]
% multiply(X,multiply(inverse(Y),inverse(multiply(W,inverse(W))))) <->
% inverse(inverse(inverse(multiply(Y,multiply(inverse(X),inverse(multiply(Z,
% inverse(Z)))))))) is composed into
% [308]
% multiply(X,multiply(inverse(Y),inverse(multiply(W,inverse(W))))) <->
% inverse(multiply(Y,multiply(inverse(X),inverse(multiply(Z,inverse(Z))))))
% Rule [293]
% multiply(multiply(c,inverse(c)),multiply(inverse(X),multiply(X,Y))) <->
% multiply(inverse(W),multiply(W,multiply(inverse(inverse(multiply(Z,
% inverse(Z)))),Y))) is composed into
% [293]
% multiply(multiply(c,inverse(c)),multiply(inverse(X),multiply(X,Y))) <->
% multiply(inverse(W),multiply(W,multiply(multiply(Z,inverse(Z)),Y)))
% Rule [277]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(c),multiply(c,X)),
% inverse(multiply(Y,multiply(W,X))))))) is composed into
% [277]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(multiply(inverse(c),multiply(c,X)),inverse(multiply(Y,
% multiply(W,X)))))
% Rule [265] multiply(X,inverse(multiply(W,inverse(W)))) -> inverse(inverse(X)) is composed into
% [265] multiply(X,inverse(multiply(W,inverse(W)))) -> X
% Rule [262]
% multiply(inverse(Y),inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(multiply(Y,inverse(multiply(inverse(X),inverse(
% inverse(
% inverse(
% multiply(W,
% inverse(W)))))))))) is composed into
% [262]
% multiply(inverse(Y),inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(multiply(Y,inverse(multiply(inverse(X),inverse(multiply(W,
% inverse(W))))))))
% Rule [261]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(multiply(X,
% inverse(X)))),Y),
% inverse(multiply(W,Y)))))) is composed into
% [261]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(multiply(X,inverse(X)),Y),inverse(multiply(W,Y))))
% Rule [251]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(multiply(multiply(c,inverse(c)),inverse(
% multiply(Y,
% inverse(
% inverse(W)))))))) is composed into
% [251]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(Y,W))))
% Rule [246]
% multiply(W,multiply(X,inverse(multiply(Z,inverse(Z))))) <->
% inverse(inverse(inverse(multiply(multiply(inverse(X),Y),inverse(
% multiply(W,Y)))))) is composed into
% [246]
% multiply(W,multiply(X,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(multiply(inverse(X),Y),inverse(multiply(W,Y))))
% Rule [244]
% multiply(inverse(c),multiply(c,multiply(multiply(W,inverse(W)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(inverse(inverse(multiply(X,inverse(X)))),Y) is composed into
% [244]
% multiply(inverse(c),multiply(c,multiply(multiply(W,inverse(W)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(multiply(X,inverse(X)),Y)
% Rule [239]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),
% inverse(multiply(inverse(inverse(Y)),W)))) is composed into
% [239]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(inverse(multiply(X,inverse(X))),inverse(multiply(Y,W))))
% Rule [214]
% multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(inverse(
% multiply(W,
% inverse(W))),Z),
% inverse(multiply(X,Z)))))) ->
% inverse(inverse(X)) is composed into [214]
% multiply(inverse(Y),multiply(Y,
% inverse(
% multiply(
% multiply(
% inverse(
% multiply(W,
% inverse(W))),Z),
% inverse(
% multiply(X,Z))))))
% -> X
% Rule [199]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(c)))))
% <-> multiply(inverse(X),multiply(X,inverse(inverse(inverse(c))))) is composed into
% [199]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(c)))))
% <-> multiply(inverse(X),multiply(X,inverse(c)))
% Rule [197]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(Y)))))
% <-> multiply(inverse(X),multiply(X,inverse(inverse(inverse(Y))))) is composed into
% [197]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(Y)))))
% <-> multiply(inverse(X),multiply(X,inverse(Y)))
% Rule [192]
% multiply(Z,Y) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X),
% multiply(X,Y))),W),
% inverse(multiply(Z,W)))))) is composed into
% [192]
% multiply(Z,Y) <->
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W))))
% Rule [174]
% multiply(inverse(Y),multiply(Y,inverse(c))) ->
% inverse(inverse(inverse(c))) is composed into [174]
% multiply(inverse(Y),
% multiply(Y,inverse(c))) ->
% inverse(c)
% Rule [172]
% multiply(inverse(Y),multiply(Y,inverse(X))) ->
% inverse(inverse(inverse(X))) is composed into [172]
% multiply(inverse(Y),
% multiply(Y,inverse(X))) ->
% inverse(X)
% Rule [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),inverse(
% inverse(X))))) is composed into
% [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),X)))
% Rule [154]
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(inverse(inverse(multiply(X,inverse(X)))),Y) is composed into
% [154]
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(multiply(X,inverse(X)),Y)
% Rule [127]
% inverse(multiply(multiply(inverse(Y),V_4),inverse(multiply(X,V_4)))) <->
% multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(
% multiply(
% inverse(c),
% multiply(
% multiply(X,
% multiply(Y,
% inverse(
% multiply(W,
% inverse(W))))),
% inverse(c))))))) is composed into
% [127]
% inverse(multiply(multiply(inverse(Y),V_4),inverse(multiply(X,V_4)))) <->
% multiply(c,inverse(multiply(inverse(c),inverse(multiply(inverse(c),multiply(
% multiply(X,
% multiply(Y,
% inverse(
% multiply(W,
% inverse(W))))),
% inverse(c)))))))
% Rule [126]
% multiply(inverse(multiply(inverse(X),multiply(X,Y))),Y) ->
% inverse(multiply(inverse(c),inverse(inverse(c)))) is composed into
% [126]
% multiply(inverse(multiply(inverse(X),multiply(X,Y))),Y) ->
% inverse(multiply(inverse(c),c))
% Rule [121]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(
% inverse(W),Z),Y)))))
% -> inverse(inverse(Z)) is composed into [121]
% inverse(multiply(multiply(
% inverse(X),
% multiply(X,Y)),
% inverse(multiply(W,
% multiply(
% multiply(
% inverse(W),Z),Y)))))
% -> Z
% Rule [120]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W)))) <->
% multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(
% multiply(
% inverse(c),
% multiply(
% multiply(Z,Y),
% inverse(c))))))) is composed into
% [120]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W)))) <->
% multiply(c,inverse(multiply(inverse(c),inverse(multiply(inverse(c),multiply(
% multiply(Z,Y),
% inverse(c)))))))
% Rule [76]
% multiply(inverse(Z),multiply(Z,multiply(X,multiply(Y,multiply(W,
% inverse(multiply(V_4,
% inverse(V_4))))))))
% <-> multiply(inverse(inverse(X)),multiply(inverse(inverse(Y)),W)) is composed into
% [76]
% multiply(inverse(Z),multiply(Z,multiply(X,multiply(Y,multiply(W,inverse(
% multiply(V_4,
% inverse(V_4))))))))
% -> multiply(X,multiply(Y,W))
% Rule [75]
% multiply(inverse(W),multiply(W,multiply(X,multiply(Y,inverse(multiply(Z,
% inverse(Z)))))))
% <-> multiply(inverse(inverse(X)),Y) is composed into [75]
% multiply(inverse(W),
% multiply(W,
% multiply(X,
% multiply(Y,
% inverse(multiply(Z,
% inverse(Z)))))))
% -> multiply(X,Y)
% Rule [59]
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,Y))),Z),
% inverse(multiply(inverse(inverse(X)),Z)))) is composed into
% [59]
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,Y))),Z),
% inverse(multiply(X,Z))))
% New rule produced : [449] inverse(inverse(X)) -> X
% Rule
% [22]
% multiply(inverse(inverse(X)),Y) <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,inverse(multiply(W,
% inverse(W)))))))
% collapsed.
% Rule
% [25]
% multiply(inverse(inverse(c)),X) <->
% multiply(inverse(Y),multiply(Y,multiply(c,multiply(X,inverse(multiply(W,
% inverse(W)))))))
% collapsed.
% Rule
% [31]
% multiply(inverse(inverse(c)),multiply(inverse(inverse(X)),Y)) <->
% multiply(inverse(W),multiply(W,multiply(c,multiply(X,multiply(Y,inverse(
% multiply(Z,
% inverse(Z))))))))
% collapsed.
% Rule
% [32]
% multiply(inverse(inverse(X)),multiply(inverse(inverse(Y)),W)) <->
% multiply(inverse(c),multiply(c,multiply(X,multiply(Y,multiply(W,inverse(
% multiply(Z,
% inverse(Z))))))))
% collapsed.
% Rule
% [46]
% multiply(inverse(inverse(X)),W) <->
% multiply(inverse(X),multiply(X,multiply(X,multiply(W,inverse(multiply(Z,
% inverse(Z)))))))
% collapsed.
% Rule
% [47]
% multiply(inverse(inverse(X)),Y) ->
% multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(Y))))) collapsed.
% Rule
% [74]
% multiply(inverse(inverse(X)),multiply(inverse(Y),multiply(Y,W))) ->
% multiply(inverse(c),multiply(c,multiply(X,W))) collapsed.
% Rule
% [82]
% inverse(multiply(multiply(inverse(X),Y),inverse(multiply(inverse(inverse(W)),Y))))
% <->
% multiply(W,multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(
% multiply(
% inverse(c),
% multiply(
% multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))),
% inverse(c))))))))
% collapsed.
% Rule
% [87]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(inverse(inverse(Z)),W)))) <->
% multiply(Z,multiply(Y,inverse(multiply(V_4,inverse(V_4))))) collapsed.
% Rule
% [153]
% multiply(inverse(inverse(multiply(X,inverse(X)))),Y) <->
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% collapsed.
% Rule
% [183]
% inverse(multiply(multiply(inverse(multiply(Y,inverse(Y))),W),inverse(
% multiply(
% inverse(
% inverse(X)),W))))
% -> inverse(inverse(X)) collapsed.
% Rule
% [190]
% multiply(X,inverse(multiply(X,inverse(multiply(multiply(c,inverse(c)),
% inverse(multiply(inverse(X),inverse(
% inverse(
% multiply(
% inverse(Y),
% inverse(
% inverse(X))))))))))))
% <-> multiply(Y,inverse(multiply(W,inverse(W)))) collapsed.
% Rule
% [191]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X),
% multiply(X,Y))),W),
% inverse(multiply(Z,W)))))) <-> multiply(Z,Y)
% collapsed.
% Rule
% [207]
% multiply(X,multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(
% multiply(
% inverse(X),
% inverse(
% inverse(
% multiply(
% inverse(X),W)))))))))
% -> W collapsed.
% Rule
% [211]
% multiply(inverse(X),multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(c,
% inverse(c)),
% inverse(multiply(X,
% inverse(
% inverse(W)))))))))
% -> W collapsed.
% Rule
% [227]
% multiply(inverse(inverse(X)),inverse(inverse(inverse(Y)))) ->
% multiply(inverse(c),multiply(c,multiply(X,inverse(Y)))) collapsed.
% Rule
% [228]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <-> multiply(c,inverse(c))
% collapsed.
% Rule
% [230]
% inverse(inverse(inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),
% inverse(multiply(Y,W)))))) -> multiply(Y,W)
% collapsed.
% Rule
% [231]
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(
% multiply(Y,W))))
% <->
% multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(multiply(
% inverse(c),
% multiply(
% multiply(Y,W),
% inverse(c)))))))
% collapsed.
% Rule
% [234]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(W,inverse(W))),Z),
% inverse(multiply(X,Z)))))) -> inverse(inverse(X))
% collapsed.
% Rule
% [235]
% multiply(X,inverse(multiply(inverse(inverse(inverse(multiply(Y,inverse(Y))))),
% inverse(multiply(inverse(X),W))))) -> W collapsed.
% Rule
% [236]
% inverse(inverse(inverse(multiply(Z,inverse(Z))))) <-> multiply(c,inverse(c))
% collapsed.
% Rule
% [237]
% multiply(inverse(multiply(inverse(inverse(X)),Y)),multiply(X,multiply(Y,
% inverse(
% multiply(W,
% inverse(W))))))
% <-> inverse(inverse(inverse(multiply(Z,inverse(Z))))) collapsed.
% Rule
% [238]
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(
% multiply(
% inverse(
% inverse(Y)),W))))
% <-> multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) collapsed.
% Rule
% [243]
% multiply(inverse(inverse(multiply(X,inverse(X)))),Y) <->
% multiply(inverse(c),multiply(c,multiply(multiply(W,inverse(W)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% collapsed.
% Rule
% [245]
% inverse(inverse(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(W,Y))))))
% <-> multiply(W,multiply(X,inverse(multiply(Z,inverse(Z))))) collapsed.
% Rule
% [250]
% inverse(inverse(inverse(multiply(multiply(c,inverse(c)),inverse(multiply(Y,
% inverse(
% inverse(W))))))))
% <-> multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) collapsed.
% Rule
% [257]
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(X,inverse(inverse(
% multiply(
% inverse(Y),
% multiply(Y,W))))))))
% <->
% multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(multiply(
% inverse(c),
% multiply(
% multiply(X,W),
% inverse(c)))))))
% collapsed.
% Rule
% [259]
% inverse(multiply(X,inverse(multiply(Y,inverse(inverse(inverse(multiply(
% multiply(c,
% inverse(c)),
% inverse(
% multiply(
% multiply(
% inverse(Y),W),
% inverse(
% inverse(X))))))))))))
% -> inverse(inverse(W)) collapsed.
% Rule
% [263]
% multiply(X,inverse(multiply(Y,inverse(multiply(inverse(X),inverse(inverse(
% inverse(
% multiply(W,
% inverse(W))))))))))
% <-> multiply(inverse(Y),inverse(multiply(Z,inverse(Z)))) collapsed.
% Rule
% [267]
% multiply(inverse(X),inverse(inverse(inverse(multiply(multiply(inverse(Y),W),
% inverse(multiply(X,W))))))) -> Y
% collapsed.
% Rule
% [273]
% multiply(inverse(X),inverse(inverse(inverse(multiply(multiply(inverse(c),
% multiply(c,Y)),inverse(
% multiply(X,
% multiply(W,Y))))))))
% -> W collapsed.
% Rule
% [276]
% inverse(inverse(inverse(multiply(multiply(inverse(c),multiply(c,X)),inverse(
% multiply(Y,
% multiply(W,X)))))))
% <-> multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) collapsed.
% Rule
% [282]
% multiply(inverse(c),multiply(c,multiply(inverse(inverse(multiply(X,inverse(X)))),Y)))
% <-> multiply(multiply(c,inverse(c)),multiply(inverse(c),multiply(c,Y)))
% collapsed.
% Rule
% [285]
% inverse(multiply(inverse(inverse(inverse(multiply(X,inverse(X))))),inverse(
% multiply(
% inverse(X),
% multiply(X,Y)))))
% -> Y collapsed.
% Rule
% [286]
% inverse(inverse(inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(
% multiply(W,
% multiply(
% multiply(Z,
% inverse(Z)),Y)))))))
% -> inverse(inverse(W)) collapsed.
% Rule
% [287]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(
% inverse(inverse(W)),
% multiply(
% multiply(Z,
% inverse(Z)),Y)))))
% -> inverse(inverse(W)) collapsed.
% Rule
% [292]
% multiply(inverse(W),multiply(W,multiply(inverse(inverse(multiply(Z,inverse(Z)))),Y)))
% <-> multiply(multiply(c,inverse(c)),multiply(inverse(X),multiply(X,Y)))
% collapsed.
% Rule
% [297]
% inverse(inverse(inverse(multiply(inverse(Y),multiply(Y,X))))) <->
% inverse(inverse(inverse(multiply(inverse(c),multiply(c,X))))) collapsed.
% Rule
% [301]
% inverse(inverse(inverse(multiply(X,multiply(inverse(W),inverse(multiply(Z,
% inverse(Z))))))))
% <->
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% collapsed.
% Rule
% [302]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% <->
% inverse(inverse(inverse(multiply(X,multiply(inverse(W),inverse(multiply(Z,
% inverse(Z))))))))
% collapsed.
% Rule
% [304]
% multiply(inverse(X),inverse(inverse(inverse(multiply(Y,multiply(inverse(X),
% inverse(multiply(W,
% inverse(W)))))))))
% -> inverse(Y) collapsed.
% Rule
% [306]
% multiply(inverse(inverse(Y)),inverse(X)) <->
% inverse(inverse(inverse(multiply(X,multiply(inverse(Y),inverse(multiply(W,
% inverse(W))))))))
% collapsed.
% Rule
% [307]
% inverse(inverse(inverse(multiply(Y,multiply(inverse(X),inverse(multiply(Z,
% inverse(Z))))))))
% <-> multiply(X,multiply(inverse(Y),inverse(multiply(W,inverse(W)))))
% collapsed.
% Rule
% [319]
% multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,multiply(W,inverse(X)))))
% <-> multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z))) collapsed.
% Rule
% [324]
% inverse(inverse(inverse(multiply(Z,Y)))) <->
% multiply(inverse(multiply(inverse(X),Y)),multiply(multiply(inverse(X),W),
% inverse(multiply(Z,W)))) collapsed.
% Rule
% [337]
% multiply(multiply(inverse(inverse(X)),Z),inverse(multiply(Y,Z))) ->
% multiply(inverse(inverse(X)),inverse(inverse(inverse(Y)))) collapsed.
% Rule
% [346]
% inverse(multiply(inverse(inverse(inverse(X))),inverse(multiply(Y,multiply(
% multiply(
% inverse(Y),W),
% inverse(X))))))
% -> inverse(inverse(W)) collapsed.
% Rule
% [348]
% multiply(X,inverse(multiply(inverse(inverse(inverse(Y))),inverse(multiply(
% inverse(X),
% multiply(W,
% inverse(Y)))))))
% <-> multiply(W,inverse(multiply(Z,inverse(Z)))) collapsed.
% Rule
% [350]
% multiply(multiply(inverse(X),Z),inverse(multiply(inverse(inverse(W)),Z))) ->
% multiply(inverse(inverse(inverse(X))),inverse(inverse(inverse(W))))
% collapsed.
% Rule
% [354]
% inverse(inverse(multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))))) <->
% multiply(inverse(inverse(X)),Y) collapsed.
% Rule
% [355]
% multiply(inverse(inverse(X)),Y) <->
% inverse(inverse(multiply(X,multiply(Y,inverse(multiply(W,inverse(W)))))))
% collapsed.
% Rule
% [360]
% multiply(inverse(inverse(W)),X) <->
% inverse(inverse(inverse(multiply(multiply(inverse(X),Y),inverse(multiply(W,Y))))))
% collapsed.
% Rule
% [362]
% multiply(inverse(inverse(Y)),multiply(inverse(W),inverse(V_4))) <->
% multiply(inverse(X),multiply(X,multiply(Y,multiply(multiply(inverse(W),Z),
% inverse(multiply(V_4,Z))))))
% collapsed.
% Rule
% [366]
% inverse(inverse(inverse(multiply(multiply(inverse(inverse(X)),Y),inverse(
% multiply(W,Y))))))
% <->
% multiply(W,inverse(multiply(inverse(c),multiply(c,multiply(multiply(c,
% inverse(c)),
% inverse(inverse(X)))))))
% collapsed.
% Rule
% [368]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(c,
% inverse(c)),
% inverse(multiply(inverse(Y),
% inverse(inverse(W)))))))))
% -> W collapsed.
% Rule
% [371]
% multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(multiply(
% inverse(c),
% multiply(
% multiply(X,
% inverse(X)),
% inverse(c)))))))
% -> multiply(c,inverse(c)) collapsed.
% Rule
% [379]
% multiply(inverse(c),multiply(c,multiply(Y,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% <-> multiply(inverse(X),multiply(X,inverse(inverse(Y)))) collapsed.
% Rule
% [380]
% multiply(inverse(Y),multiply(Y,multiply(X,inverse(inverse(inverse(multiply(W,
% inverse(W))))))))
% <-> multiply(inverse(c),multiply(c,inverse(inverse(X)))) collapsed.
% Rule
% [385]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(
% multiply(
% inverse(Y),
% multiply(Y,W)))))))))
% -> W collapsed.
% Rule
% [386]
% multiply(inverse(X),inverse(inverse(inverse(multiply(multiply(c,inverse(c)),
% inverse(multiply(X,inverse(
% inverse(Y)))))))))
% -> Y collapsed.
% Rule
% [387]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(Y),
% inverse(Z))),V_4),inverse(
% multiply(X,V_4))))))
% <-> multiply(X,multiply(multiply(inverse(Y),W),inverse(multiply(Z,W))))
% collapsed.
% Rule
% [389]
% inverse(multiply(X,inverse(multiply(inverse(inverse(Y)),multiply(multiply(W,
% inverse(W)),
% multiply(X,inverse(
% multiply(Z,
% inverse(Z)))))))))
% -> inverse(inverse(Y)) collapsed.
% Rule
% [390]
% multiply(multiply(inverse(X),inverse(multiply(inverse(inverse(Y)),W))),
% inverse(inverse(Y))) <->
% multiply(multiply(inverse(X),Z),inverse(multiply(multiply(inverse(multiply(V_4,
% inverse(V_4))),W),Z)))
% collapsed.
% Rule
% [392]
% inverse(inverse(inverse(multiply(W,inverse(W))))) <-> multiply(c,inverse(c))
% collapsed.
% Rule
% [393]
% multiply(inverse(X),multiply(Y,inverse(multiply(multiply(c,inverse(c)),
% inverse(multiply(inverse(Y),inverse(
% inverse(X))))))))
% <-> inverse(inverse(inverse(multiply(W,inverse(W))))) collapsed.
% Rule
% [394]
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(inverse(X)),Y)),W),
% inverse(multiply(Z,W)))))) <->
% multiply(Z,multiply(X,multiply(Y,inverse(multiply(V_4,inverse(V_4))))))
% collapsed.
% Rule
% [396]
% inverse(inverse(multiply(c,inverse(multiply(inverse(inverse(inverse(c))),
% inverse(multiply(inverse(c),multiply(
% multiply(X,Y),
% inverse(c)))))))))
% -> multiply(X,Y) collapsed.
% Rule
% [398]
% multiply(X,multiply(c,inverse(multiply(inverse(inverse(inverse(c))),inverse(
% multiply(
% inverse(c),
% multiply(
% multiply(
% inverse(X),Y),
% inverse(c))))))))
% -> Y collapsed.
% Rule
% [399]
% inverse(inverse(inverse(multiply(X,inverse(multiply(Y,multiply(multiply(W,
% inverse(W)),
% multiply(X,inverse(
% multiply(Z,
% inverse(Z)))))))))))
% -> inverse(inverse(Y)) collapsed.
% Rule
% [400]
% inverse(inverse(inverse(multiply(inverse(multiply(X,inverse(X))),inverse(Y)))))
% -> Y collapsed.
% Rule
% [401]
% inverse(inverse(inverse(multiply(multiply(multiply(c,inverse(c)),X),inverse(
% multiply(Y,X))))))
% -> inverse(inverse(Y)) collapsed.
% Rule
% [402]
% inverse(inverse(inverse(multiply(multiply(inverse(W),Z),inverse(multiply(X,Z))))))
% <-> multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),inverse(W))))
% collapsed.
% Rule
% [406]
% multiply(inverse(inverse(Y)),W) <->
% multiply(inverse(X),multiply(X,multiply(Y,inverse(inverse(W))))) collapsed.
% Rule
% [407]
% inverse(inverse(inverse(multiply(W,multiply(inverse(X),inverse(multiply(Z,
% inverse(Z))))))))
% <->
% multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),inverse(inverse(W)))))
% collapsed.
% Rule
% [408]
% multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),inverse(inverse(W)))))
% <->
% inverse(inverse(inverse(multiply(W,multiply(inverse(X),inverse(multiply(Z,
% inverse(Z))))))))
% collapsed.
% Rule
% [411]
% inverse(inverse(inverse(multiply(X,inverse(X))))) <-> multiply(c,inverse(c))
% collapsed.
% Rule
% [418]
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,inverse(inverse(W))))) <->
% multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z))) collapsed.
% Rule
% [420]
% inverse(multiply(inverse(c),multiply(c,multiply(inverse(multiply(X,inverse(X))),
% inverse(inverse(inverse(Y))))))) ->
% inverse(inverse(Y)) collapsed.
% Rule
% [425]
% multiply(X,inverse(multiply(multiply(Y,inverse(Y)),inverse(multiply(inverse(X),
% inverse(inverse(W)))))))
% <-> multiply(W,inverse(multiply(Z,inverse(Z)))) collapsed.
% Rule
% [427]
% multiply(c,inverse(multiply(inverse(c),multiply(c,multiply(multiply(c,
% inverse(c)),
% inverse(inverse(c)))))))
% <-> inverse(multiply(X,inverse(X))) collapsed.
% Rule
% [429]
% multiply(inverse(inverse(multiply(Y,inverse(Y)))),multiply(inverse(X),
% inverse(multiply(W,
% inverse(W))))) ->
% inverse(X) collapsed.
% Rule
% [432]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(X),
% inverse(inverse(Y)))))))
% -> inverse(inverse(Y)) collapsed.
% Rule
% [440]
% multiply(c,inverse(multiply(multiply(c,inverse(c)),inverse(multiply(inverse(c),
% inverse(inverse(Y)))))))
% -> inverse(inverse(Y)) collapsed.
% Rule
% [445]
% multiply(multiply(inverse(c),multiply(c,multiply(inverse(c),multiply(c,
% multiply(X,
% inverse(inverse(Z))))))),
% inverse(multiply(W,Z))) <->
% multiply(multiply(inverse(c),multiply(c,multiply(inverse(c),multiply(c,
% multiply(X,
% inverse(inverse(Y))))))),
% inverse(multiply(W,Y))) collapsed.
% Rule
% [446]
% multiply(inverse(c),multiply(c,multiply(X,inverse(inverse(multiply(Y,
% inverse(Y))))))) ->
% inverse(inverse(X)) collapsed.
% Rule [448] inverse(inverse(inverse(inverse(X)))) -> inverse(inverse(X))
% collapsed.
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 105
% Rule [290]
% multiply(inverse(Y),multiply(Y,multiply(inverse(multiply(W,inverse(W))),X)))
% <-> multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),X))) is composed into
% [290]
% multiply(inverse(Y),multiply(Y,multiply(inverse(multiply(W,inverse(W))),X)))
% <-> multiply(multiply(c,inverse(c)),X)
% Rule [283]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),X))) <->
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),X))) is composed into
% [283]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),X))) <->
% multiply(multiply(c,inverse(c)),X)
% Rule [270]
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),Y))) <->
% multiply(inverse(c),multiply(c,multiply(multiply(X,inverse(X)),Y))) is composed into
% [270]
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),Y))) <->
% multiply(multiply(X,inverse(X)),Y)
% Rule [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),X))) is composed into
% [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(multiply(c,inverse(c)),X)
% New rule produced :
% [450] multiply(inverse(c),multiply(c,multiply(X,Y))) -> multiply(X,Y)
% Rule
% [197]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(Y)))))
% <-> multiply(inverse(X),multiply(X,inverse(Y))) collapsed.
% Rule
% [199]
% multiply(inverse(c),multiply(c,multiply(inverse(W),multiply(W,inverse(c)))))
% <-> multiply(inverse(X),multiply(X,inverse(c))) collapsed.
% Rule
% [244]
% multiply(inverse(c),multiply(c,multiply(multiply(W,inverse(W)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(multiply(X,inverse(X)),Y) collapsed.
% Rule
% [271]
% multiply(inverse(c),multiply(c,multiply(multiply(X,inverse(X)),Y))) <->
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),Y)))
% collapsed.
% Rule
% [280]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(X,inverse(X))),Y)))
% <-> multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),Y)))
% collapsed.
% Rule
% [284]
% multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),X))) <->
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),X)))
% collapsed.
% Rule
% [436]
% multiply(inverse(c),multiply(c,multiply(inverse(multiply(W,inverse(W))),Y)))
% <-> multiply(inverse(c),multiply(c,multiply(multiply(c,inverse(c)),Y)))
% collapsed.
% Current number of equations to process: 4155
% Current number of ordered equations: 0
% Current number of rules: 99
% Rule [239]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(inverse(multiply(X,inverse(X))),inverse(multiply(Y,W)))) is composed into
% [239]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) -> multiply(Y,W)
% New rule produced :
% [451] inverse(multiply(inverse(multiply(X,inverse(X))),inverse(Y))) -> Y
% Rule
% [403]
% multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),inverse(W)))) <->
% inverse(multiply(multiply(inverse(W),Z),inverse(multiply(X,Z)))) collapsed.
% Rule
% [404]
% multiply(inverse(X),inverse(multiply(inverse(multiply(Y,inverse(Y))),
% inverse(X)))) -> multiply(c,inverse(c))
% collapsed.
% Current number of equations to process: 4156
% Current number of ordered equations: 0
% Current number of rules: 98
% Rule [126]
% multiply(inverse(multiply(inverse(X),multiply(X,Y))),Y) ->
% inverse(multiply(inverse(c),c)) is composed into [126]
% multiply(inverse(
% multiply(
% inverse(X),
% multiply(X,Y))),Y)
% ->
% inverse(multiply(c,
% inverse(c)))
% New rule produced : [452] multiply(inverse(X),X) -> multiply(c,inverse(c))
% Current number of equations to process: 4155
% Current number of ordered equations: 0
% Current number of rules: 99
% Rule [293]
% multiply(multiply(c,inverse(c)),multiply(inverse(X),multiply(X,Y))) <->
% multiply(inverse(W),multiply(W,multiply(multiply(Z,inverse(Z)),Y))) is composed into
% [293]
% multiply(multiply(c,inverse(c)),multiply(inverse(X),multiply(X,Y))) <->
% multiply(multiply(Z,inverse(Z)),Y)
% New rule produced :
% [453] multiply(inverse(X),multiply(X,multiply(Y,W))) -> multiply(Y,W)
% Rule
% [14]
% multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))))
% -> Y collapsed.
% Rule
% [71]
% multiply(inverse(X),multiply(X,multiply(c,multiply(Y,inverse(multiply(W,
% inverse(W)))))))
% <->
% multiply(inverse(Z),multiply(Z,multiply(c,multiply(Y,inverse(multiply(V_4,
% inverse(V_4)))))))
% collapsed.
% Rule
% [75]
% multiply(inverse(W),multiply(W,multiply(X,multiply(Y,inverse(multiply(Z,
% inverse(Z)))))))
% -> multiply(X,Y) collapsed.
% Rule
% [76]
% multiply(inverse(Z),multiply(Z,multiply(X,multiply(Y,multiply(W,inverse(
% multiply(V_4,
% inverse(V_4))))))))
% -> multiply(X,multiply(Y,W)) collapsed.
% Rule
% [154]
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),multiply(Y,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(multiply(X,inverse(X)),Y) collapsed.
% Rule
% [155]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),multiply(X,
% inverse(
% multiply(Z,
% inverse(Z)))))))
% <-> multiply(multiply(c,inverse(c)),X) collapsed.
% Rule
% [200]
% multiply(inverse(X),multiply(X,multiply(inverse(Y),multiply(Y,W)))) <->
% multiply(inverse(Z),multiply(Z,multiply(inverse(V_4),multiply(V_4,W))))
% collapsed.
% Rule
% [270]
% multiply(inverse(W),multiply(W,multiply(multiply(c,inverse(c)),Y))) <->
% multiply(multiply(X,inverse(X)),Y) collapsed.
% Rule
% [283]
% multiply(inverse(Y),multiply(Y,multiply(multiply(W,inverse(W)),X))) <->
% multiply(multiply(c,inverse(c)),X) collapsed.
% Rule
% [290]
% multiply(inverse(Y),multiply(Y,multiply(inverse(multiply(W,inverse(W))),X)))
% <-> multiply(multiply(c,inverse(c)),X) collapsed.
% Rule
% [315]
% multiply(inverse(X),multiply(X,multiply(multiply(inverse(Y),W),inverse(
% multiply(Z,W)))))
% -> multiply(inverse(Y),inverse(Z)) collapsed.
% Rule
% [361]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(multiply(inverse(W),Z),
% inverse(multiply(V_4,Z)))))) ->
% multiply(Y,multiply(inverse(W),inverse(V_4))) collapsed.
% Rule
% [370]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(inverse(W),multiply(W,Z)))))
% <->
% multiply(inverse(V_4),multiply(V_4,multiply(Y,multiply(inverse(V_5),multiply(V_5,Z)))))
% collapsed.
% Rule
% [377]
% multiply(inverse(X),multiply(X,multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))))
% <-> inverse(multiply(multiply(inverse(W),V_4),inverse(multiply(Y,V_4))))
% collapsed.
% Rule
% [397]
% multiply(inverse(multiply(inverse(X),multiply(X,multiply(inverse(Y),multiply(Y,W))))),
% multiply(inverse(Z),multiply(Z,W))) -> multiply(c,inverse(c)) collapsed.
% Rule [450] multiply(inverse(c),multiply(c,multiply(X,Y))) -> multiply(X,Y)
% collapsed.
% Current number of equations to process: 4158
% Current number of ordered equations: 0
% Current number of rules: 84
% Rule [395]
% multiply(Z,multiply(X,multiply(Y,inverse(multiply(V_4,inverse(V_4))))))
% <->
% inverse(multiply(multiply(inverse(multiply(X,Y)),W),inverse(multiply(Z,W)))) is composed into
% [395]
% multiply(Z,multiply(X,multiply(Y,inverse(multiply(V_4,inverse(V_4)))))) <->
% inverse(multiply(inverse(multiply(X,Y)),inverse(Z)))
% Rule [353]
% multiply(multiply(inverse(X),multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W)) <->
% multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))) is composed into
% [353]
% multiply(multiply(inverse(X),multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W)) -> multiply(inverse(X),inverse(inverse(Y)))
% Rule [340]
% multiply(multiply(inverse(X),multiply(Y,W)),inverse(multiply(inverse(Z),
% multiply(Z,W)))) <->
% multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))) is composed into
% [340]
% multiply(multiply(inverse(X),multiply(Y,W)),inverse(multiply(inverse(Z),
% multiply(Z,W)))) ->
% multiply(inverse(X),inverse(inverse(Y)))
% Rule [329]
% multiply(X,inverse(multiply(Y,multiply(W,multiply(X,inverse(multiply(Z,
% inverse(Z))))))))
% <-> multiply(multiply(inverse(W),V_4),inverse(multiply(Y,V_4))) is composed into
% [329]
% multiply(X,inverse(multiply(Y,multiply(W,multiply(X,inverse(multiply(Z,
% inverse(Z))))))))
% <-> multiply(inverse(W),inverse(Y))
% Rule [323]
% multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,multiply(Z,Y))))
% <-> multiply(multiply(inverse(Z),V_4),inverse(multiply(W,V_4))) is composed into
% [323]
% multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,multiply(Z,Y))))
% <-> multiply(inverse(Z),inverse(W))
% Rule [321]
% multiply(W,inverse(X)) <->
% inverse(multiply(multiply(X,Y),inverse(multiply(W,Y)))) is composed into
% [321] multiply(W,inverse(X)) <-> inverse(multiply(X,inverse(W)))
% Rule [312]
% multiply(X,multiply(inverse(W),inverse(multiply(Z,inverse(Z))))) <->
% multiply(multiply(X,Y),inverse(multiply(W,Y))) is composed into
% [312]
% multiply(X,multiply(inverse(W),inverse(multiply(Z,inverse(Z))))) ->
% multiply(X,inverse(W))
% Rule [261]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(multiply(X,inverse(X)),Y),inverse(multiply(W,Y)))) is composed into
% [261]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(X,inverse(X)),inverse(W)))
% Rule [246]
% multiply(W,multiply(X,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(multiply(inverse(X),Y),inverse(multiply(W,Y)))) is composed into
% [246]
% multiply(W,multiply(X,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(inverse(X),inverse(W)))
% Rule [192]
% multiply(Z,Y) <->
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W)))) is composed into [192]
% multiply(Z,Y) <->
% inverse(multiply(
% inverse(
% multiply(
% inverse(X),
% multiply(X,Y))),
% inverse(Z)))
% Rule [68]
% multiply(Z,multiply(Y,inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),W),
% inverse(multiply(Z,W)))))) is composed into
% [68]
% multiply(Z,multiply(Y,inverse(multiply(V_4,inverse(V_4))))) <->
% multiply(inverse(X),multiply(X,inverse(multiply(inverse(Y),inverse(Z)))))
% Rule [59]
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,Y))),Z),
% inverse(multiply(X,Z)))) is composed into [59]
% multiply(X,multiply(Y,
% inverse(
% multiply(W,
% inverse(W)))))
% <->
% inverse(multiply(
% inverse(
% multiply(
% inverse(c),
% multiply(c,Y))),
% inverse(X)))
% Rule [53]
% multiply(Z,Y) <->
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(
% multiply(
% inverse(c),
% multiply(c,Y))),W),
% inverse(multiply(Z,W)))))) is composed into
% [53]
% multiply(Z,Y) <->
% multiply(inverse(X),multiply(X,inverse(multiply(inverse(multiply(inverse(c),
% multiply(c,Y))),
% inverse(Z)))))
% New rule produced :
% [454]
% multiply(multiply(X,Z),inverse(multiply(Y,Z))) -> multiply(X,inverse(Y))
% Rule
% [67]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),W),
% inverse(multiply(Z,W)))))) <->
% multiply(Z,multiply(Y,inverse(multiply(V_4,inverse(V_4))))) collapsed.
% Rule
% [72]
% multiply(inverse(X),multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(
% inverse(W),Z),
% inverse(multiply(X,Z)))))))
% -> W collapsed.
% Rule
% [77]
% multiply(X,inverse(multiply(multiply(inverse(Y),W),inverse(multiply(inverse(X),W)))))
% <-> multiply(Y,inverse(multiply(Z,inverse(Z)))) collapsed.
% Rule
% [84]
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(multiply(
% inverse(Y),
% multiply(Y,W))),Z),
% inverse(multiply(V_4,Z)))))) <->
% multiply(V_4,W) collapsed.
% Rule
% [120]
% inverse(multiply(multiply(inverse(multiply(inverse(X),multiply(X,Y))),W),
% inverse(multiply(Z,W)))) <->
% multiply(c,inverse(multiply(inverse(c),inverse(multiply(inverse(c),multiply(
% multiply(Z,Y),
% inverse(c)))))))
% collapsed.
% Rule
% [127]
% inverse(multiply(multiply(inverse(Y),V_4),inverse(multiply(X,V_4)))) <->
% multiply(c,inverse(multiply(inverse(c),inverse(multiply(inverse(c),multiply(
% multiply(X,
% multiply(Y,
% inverse(
% multiply(W,
% inverse(W))))),
% inverse(c)))))))
% collapsed.
% Rule
% [168]
% multiply(multiply(inverse(X),Y),inverse(multiply(W,Y))) <->
% multiply(multiply(inverse(X),Z),inverse(multiply(W,Z))) collapsed.
% Rule
% [184]
% inverse(multiply(multiply(inverse(multiply(X,inverse(X))),Y),inverse(
% multiply(W,Y))))
% <-> multiply(c,inverse(multiply(inverse(W),c))) collapsed.
% Rule
% [209]
% inverse(multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))))
% <-> inverse(multiply(multiply(inverse(X),c),inverse(multiply(inverse(Y),c))))
% collapsed.
% Rule
% [214]
% multiply(inverse(Y),multiply(Y,inverse(multiply(multiply(inverse(multiply(W,
% inverse(W))),Z),
% inverse(multiply(X,Z)))))) -> X
% collapsed.
% Rule
% [248]
% inverse(multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))))
% <-> inverse(multiply(multiply(inverse(X),c),inverse(multiply(inverse(Y),c))))
% collapsed.
% Rule
% [318]
% multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z))) <->
% multiply(inverse(X),inverse(multiply(Y,multiply(W,inverse(X))))) collapsed.
% Rule
% [322]
% multiply(multiply(inverse(Z),V_4),inverse(multiply(W,V_4))) <->
% multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,multiply(Z,Y))))
% collapsed.
% Rule
% [325]
% multiply(inverse(multiply(inverse(X),Y)),multiply(multiply(inverse(X),W),
% inverse(multiply(Z,W)))) <->
% inverse(multiply(Z,Y)) collapsed.
% Rule
% [326]
% multiply(multiply(inverse(X),Z),inverse(multiply(inverse(Y),Z))) <->
% multiply(multiply(inverse(X),c),inverse(multiply(inverse(Y),c))) collapsed.
% Rule
% [330]
% multiply(multiply(inverse(W),V_4),inverse(multiply(Y,V_4))) <->
% multiply(X,inverse(multiply(Y,multiply(W,multiply(X,inverse(multiply(Z,
% inverse(Z))))))))
% collapsed.
% Rule
% [339]
% multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))) <->
% multiply(multiply(inverse(X),c),inverse(multiply(inverse(Y),c))) collapsed.
% Rule
% [342]
% multiply(multiply(inverse(multiply(inverse(W),multiply(W,Y))),Z),inverse(
% multiply(X,Z)))
% <-> multiply(multiply(c,inverse(c)),inverse(multiply(X,Y))) collapsed.
% Rule
% [352]
% multiply(multiply(inverse(X),V_4),inverse(multiply(inverse(Y),V_4))) <->
% multiply(multiply(inverse(X),c),inverse(multiply(inverse(Y),c))) collapsed.
% Rule
% [388]
% multiply(X,multiply(multiply(inverse(Y),W),inverse(multiply(Z,W)))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(Y),inverse(Z))),V_4),
% inverse(multiply(X,V_4)))) collapsed.
% Rule
% [391]
% multiply(multiply(inverse(X),Z),inverse(multiply(multiply(inverse(multiply(V_4,
% inverse(V_4))),W),Z)))
% <-> multiply(multiply(inverse(X),inverse(multiply(Y,W))),Y) collapsed.
% Rule
% [417]
% multiply(multiply(inverse(W),Z),inverse(multiply(Y,Z))) <->
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,W))) collapsed.
% Rule
% [430]
% multiply(multiply(inverse(X),W),inverse(multiply(inverse(multiply(inverse(Z),
% multiply(Z,Y))),W)))
% -> multiply(inverse(X),Y) collapsed.
% Current number of equations to process: 4174
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [455] inverse(multiply(inverse(X),inverse(W))) <-> multiply(W,X)
% Current number of equations to process: 4170
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [456] multiply(W,X) <-> inverse(multiply(inverse(X),inverse(W)))
% Rule
% [126]
% multiply(inverse(multiply(inverse(X),multiply(X,Y))),Y) ->
% inverse(multiply(c,inverse(c))) collapsed.
% Rule
% [353]
% multiply(multiply(inverse(X),multiply(Y,multiply(W,inverse(multiply(Z,
% inverse(Z)))))),
% inverse(W)) -> multiply(inverse(X),inverse(inverse(Y))) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% multiply(a,multiply(b,c)) = inverse(multiply(inverse(c),inverse(multiply(a,b))))
%
% Current number of equations to process: 4172
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [457]
% multiply(inverse(W),inverse(Y)) <->
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,W)))
% Current number of equations to process: 4170
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [458]
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,W))) <->
% multiply(inverse(W),inverse(Y))
% Current number of equations to process: 4170
% Current number of ordered equations: 0
% Current number of rules: 64
% Rule [434]
% multiply(inverse(W),multiply(W,Y)) <->
% multiply(inverse(c),multiply(c,Y)) is composed into [434]
% multiply(inverse(W),
% multiply(W,Y)) -> Y
% Rule [415]
% multiply(inverse(Z),multiply(Z,W)) <->
% multiply(inverse(c),multiply(c,W)) is composed into [415]
% multiply(inverse(Z),
% multiply(Z,W)) -> W
% Rule [294]
% multiply(inverse(X),multiply(X,Y)) <->
% multiply(inverse(c),multiply(c,Y)) is composed into [294]
% multiply(inverse(X),
% multiply(X,Y)) -> Y
% Rule [277]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(multiply(inverse(c),multiply(c,X)),inverse(multiply(Y,
% multiply(W,X))))) is composed into
% [277]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(X,inverse(multiply(Y,multiply(W,X)))))
% Rule [148]
% multiply(inverse(W),multiply(W,Y)) <->
% multiply(inverse(c),multiply(c,Y)) is composed into [148]
% multiply(inverse(W),
% multiply(W,Y)) -> Y
% Rule [146]
% multiply(inverse(X),multiply(X,Y)) <->
% multiply(inverse(c),multiply(c,Y)) is composed into [146]
% multiply(inverse(X),
% multiply(X,Y)) -> Y
% Rule [144]
% multiply(inverse(W),multiply(W,Y)) <->
% multiply(inverse(c),multiply(c,Y)) is composed into [144]
% multiply(inverse(W),
% multiply(W,Y)) -> Y
% Rule [59]
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))) <->
% inverse(multiply(inverse(multiply(inverse(c),multiply(c,Y))),inverse(X))) is composed into
% [59]
% multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))) <->
% inverse(multiply(inverse(Y),inverse(X)))
% Rule [53]
% multiply(Z,Y) <->
% multiply(inverse(X),multiply(X,inverse(multiply(inverse(multiply(
% inverse(c),
% multiply(c,Y))),
% inverse(Z))))) is composed into
% [53]
% multiply(Z,Y) <->
% multiply(inverse(X),multiply(X,inverse(multiply(inverse(Y),inverse(Z)))))
% New rule produced : [459] multiply(inverse(c),multiply(c,X)) -> X
% Current number of equations to process: 4169
% Current number of ordered equations: 0
% Current number of rules: 65
% Rule [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% <-> multiply(c,inverse(multiply(inverse(W),c))) is composed into
% [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% -> W
% New rule produced : [460] multiply(X,inverse(multiply(inverse(Y),X))) -> Y
% Current number of equations to process: 4167
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [461]
% multiply(inverse(X),inverse(multiply(Y,multiply(W,inverse(X))))) <->
% multiply(inverse(W),inverse(Y))
% Current number of equations to process: 4164
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [462]
% multiply(inverse(W),inverse(Y)) <->
% multiply(inverse(X),inverse(multiply(Y,multiply(W,inverse(X)))))
% Current number of equations to process: 4164
% Current number of ordered equations: 0
% Current number of rules: 68
% Rule [251]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(multiply(c,inverse(c)),inverse(multiply(Y,W)))) is composed into
% [251]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) -> multiply(Y,W)
% New rule produced :
% [463] inverse(multiply(multiply(c,inverse(c)),inverse(Y))) -> Y
% Current number of equations to process: 4163
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [464]
% inverse(multiply(Z,Y)) <->
% multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(X),inverse(Z)))
% Current number of equations to process: 4160
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [465]
% multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(X),inverse(Z))) <->
% inverse(multiply(Z,Y))
% Current number of equations to process: 4160
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [466] multiply(c,multiply(inverse(c),Y)) -> Y
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [467] multiply(X,multiply(inverse(X),Y)) -> Y
% Rule [466] multiply(c,multiply(inverse(c),Y)) -> Y collapsed.
% Current number of equations to process: 4153
% Current number of ordered equations: 0
% Current number of rules: 72
% Rule [457]
% multiply(inverse(W),inverse(Y)) <->
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,W))) is composed into
% [457] multiply(inverse(W),inverse(Y)) <-> inverse(multiply(Y,W))
% Rule [424]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(multiply(multiply(Y,inverse(Y)),inverse(multiply(
% inverse(X),W))))) is composed into
% [424]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(inverse(multiply(inverse(X),W))))
% Rule [261]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% inverse(multiply(multiply(X,inverse(X)),inverse(W))) is composed into
% [261] multiply(W,inverse(multiply(Z,inverse(Z)))) -> inverse(inverse(W))
% New rule produced :
% [468] multiply(multiply(Y,inverse(Y)),inverse(X)) -> inverse(X)
% Rule
% [458]
% multiply(multiply(X,inverse(X)),inverse(multiply(Y,W))) <->
% multiply(inverse(W),inverse(Y)) collapsed.
% Rule [463] inverse(multiply(multiply(c,inverse(c)),inverse(Y))) -> Y
% collapsed.
% Current number of equations to process: 4151
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [469]
% inverse(multiply(inverse(X),inverse(multiply(Y,multiply(multiply(inverse(Y),W),
% inverse(X)))))) -> W
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 72
% Rule [421]
% multiply(inverse(Y),inverse(multiply(W,inverse(W)))) <->
% multiply(inverse(X),inverse(multiply(Y,inverse(X)))) is composed into
% [421] multiply(inverse(Y),inverse(multiply(W,inverse(W)))) -> inverse(Y)
% New rule produced :
% [470] multiply(inverse(X),inverse(multiply(Y,inverse(X)))) -> inverse(Y)
% Rule
% [422]
% multiply(inverse(X),inverse(multiply(Y,inverse(X)))) <->
% multiply(inverse(Y),inverse(multiply(W,inverse(W)))) collapsed.
% Current number of equations to process: 4135
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [471]
% multiply(Y,inverse(multiply(W,multiply(Z,Y)))) <->
% multiply(inverse(Z),inverse(W))
% Rule
% [461]
% multiply(inverse(X),inverse(multiply(Y,multiply(W,inverse(X))))) <->
% multiply(inverse(W),inverse(Y)) collapsed.
% Current number of equations to process: 4126
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [472]
% multiply(inverse(Z),inverse(W)) <->
% multiply(Y,inverse(multiply(W,multiply(Z,Y))))
% Rule
% [462]
% multiply(inverse(W),inverse(Y)) <->
% multiply(inverse(X),inverse(multiply(Y,multiply(W,inverse(X))))) collapsed.
% Current number of equations to process: 4126
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [473]
% inverse(multiply(inverse(Y),inverse(multiply(inverse(X),inverse(multiply(Y,W))))))
% <->
% multiply(inverse(X),inverse(multiply(inverse(multiply(V_4,inverse(V_4))),W)))
% Current number of equations to process: 4124
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [474]
% multiply(inverse(X),inverse(multiply(inverse(multiply(V_4,inverse(V_4))),W)))
% <->
% inverse(multiply(inverse(Y),inverse(multiply(inverse(X),inverse(multiply(Y,W))))))
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 74
% Rule [347]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,inverse(multiply(inverse(Y),inverse(multiply(inverse(X),
% multiply(W,inverse(Y))))))) is composed into
% [347]
% multiply(W,inverse(multiply(Z,inverse(Z)))) <->
% multiply(X,multiply(inverse(X),W))
% New rule produced :
% [475]
% inverse(multiply(inverse(W),inverse(multiply(inverse(X),multiply(Y,inverse(W))))))
% -> multiply(inverse(X),Y)
% Current number of equations to process: 4121
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [476]
% inverse(multiply(W,inverse(X))) <->
% multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),W)))
% Current number of equations to process: 4118
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [477]
% multiply(X,inverse(multiply(inverse(multiply(Y,inverse(Y))),W))) <->
% inverse(multiply(W,inverse(X)))
% Current number of equations to process: 4118
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [478]
% multiply(multiply(c,inverse(c)),multiply(multiply(X,inverse(X)),Y)) -> Y
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [479] inverse(multiply(inverse(Y),W)) <-> multiply(inverse(W),Y)
% Current number of equations to process: 4113
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [480] multiply(inverse(W),Y) <-> inverse(multiply(inverse(Y),W))
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [481]
% multiply(c,inverse(multiply(c,multiply(Y,c)))) -> inverse(multiply(c,Y))
% Current number of equations to process: 4109
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [482]
% multiply(inverse(X),inverse(multiply(Y,inverse(multiply(X,multiply(W,Y))))))
% -> W
% Current number of equations to process: 4106
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [483]
% inverse(multiply(Y,inverse(multiply(W,multiply(multiply(Z,inverse(Z)),Y)))))
% -> W
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [484]
% multiply(c,inverse(multiply(inverse(c),inverse(multiply(inverse(c),inverse(
% multiply(c,
% inverse(
% multiply(X,Y)))))))))
% -> multiply(X,Y)
% Current number of equations to process: 4100
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [485] multiply(X,inverse(multiply(Y,X))) -> inverse(Y)
% Rule
% [444]
% multiply(X,inverse(multiply(multiply(c,inverse(c)),X))) <->
% inverse(multiply(Y,inverse(Y))) collapsed.
% Rule [460] multiply(X,inverse(multiply(inverse(Y),X))) -> Y collapsed.
% Rule [470] multiply(inverse(X),inverse(multiply(Y,inverse(X)))) -> inverse(Y)
% collapsed.
% Current number of equations to process: 4098
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [486] multiply(inverse(multiply(Y,inverse(Y))),inverse(X)) -> inverse(X)
% Rule [451] inverse(multiply(inverse(multiply(X,inverse(X))),inverse(Y))) -> Y
% collapsed.
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 82
% Rule [277]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) <->
% inverse(multiply(X,inverse(multiply(Y,multiply(W,X))))) is composed into
% [277]
% multiply(Y,multiply(W,inverse(multiply(Z,inverse(Z))))) -> multiply(Y,W)
% New rule produced :
% [487]
% inverse(multiply(X,inverse(multiply(Y,multiply(W,X))))) -> multiply(Y,W)
% Rule
% [469]
% inverse(multiply(inverse(X),inverse(multiply(Y,multiply(multiply(inverse(Y),W),
% inverse(X)))))) -> W
% collapsed.
% Rule
% [475]
% inverse(multiply(inverse(W),inverse(multiply(inverse(X),multiply(Y,inverse(W))))))
% -> multiply(inverse(X),Y) collapsed.
% Rule
% [482]
% multiply(inverse(X),inverse(multiply(Y,inverse(multiply(X,multiply(W,Y))))))
% -> W collapsed.
% Rule
% [483]
% inverse(multiply(Y,inverse(multiply(W,multiply(multiply(Z,inverse(Z)),Y)))))
% -> W collapsed.
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [488]
% inverse(multiply(X,inverse(W))) <->
% multiply(W,inverse(multiply(multiply(c,inverse(c)),X)))
% Current number of equations to process: 4087
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [489]
% multiply(W,inverse(multiply(multiply(c,inverse(c)),X))) <->
% inverse(multiply(X,inverse(W)))
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [490]
% multiply(X,multiply(c,inverse(multiply(inverse(c),inverse(multiply(inverse(c),
% inverse(multiply(
% multiply(c,c),
% multiply(
% inverse(c),
% inverse(
% multiply(
% inverse(X),Y)))))))))))
% -> Y
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [491]
% inverse(multiply(X,inverse(multiply(multiply(c,inverse(c)),Y)))) <->
% multiply(Y,inverse(X))
% Current number of equations to process: 4066
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [492]
% multiply(Y,inverse(X)) <->
% inverse(multiply(X,inverse(multiply(multiply(c,inverse(c)),Y))))
% Current number of equations to process: 4066
% Current number of ordered equations: 0
% Current number of rules: 84
% Rule [492]
% multiply(Y,inverse(X)) <->
% inverse(multiply(X,inverse(multiply(multiply(c,inverse(c)),Y)))) is composed into
% [492] multiply(Y,inverse(X)) <-> inverse(multiply(X,inverse(Y)))
% Rule [488]
% inverse(multiply(X,inverse(W))) <->
% multiply(W,inverse(multiply(multiply(c,inverse(c)),X))) is composed into
% [488] inverse(multiply(X,inverse(W))) <-> multiply(W,inverse(X))
% New rule produced : [493] multiply(multiply(c,inverse(c)),X) -> X
% Rule
% [157]
% inverse(multiply(multiply(inverse(X),multiply(X,Y)),inverse(multiply(W,
% multiply(
% multiply(c,
% inverse(c)),Y)))))
% -> W collapsed.
% Rule
% [293]
% multiply(multiply(c,inverse(c)),multiply(inverse(X),multiply(X,Y))) <->
% multiply(multiply(Z,inverse(Z)),Y) collapsed.
% Rule
% [478]
% multiply(multiply(c,inverse(c)),multiply(multiply(X,inverse(X)),Y)) -> Y
% collapsed.
% Rule
% [489]
% multiply(W,inverse(multiply(multiply(c,inverse(c)),X))) <->
% inverse(multiply(X,inverse(W))) collapsed.
% Rule
% [491]
% inverse(multiply(X,inverse(multiply(multiply(c,inverse(c)),Y)))) <->
% multiply(Y,inverse(X)) collapsed.
% Current number of equations to process: 4064
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [494] multiply(multiply(X,inverse(X)),Y) -> Y
% Rule
% [416]
% multiply(inverse(multiply(X,inverse(X))),multiply(multiply(Y,inverse(Y)),W))
% <-> multiply(inverse(Z),multiply(Z,W)) collapsed.
% Rule [468] multiply(multiply(Y,inverse(Y)),inverse(X)) -> inverse(X)
% collapsed.
% Rule [493] multiply(multiply(c,inverse(c)),X) -> X collapsed.
% Current number of equations to process: 4063
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [495]
% multiply(multiply(X,Y),multiply(multiply(inverse(Y),inverse(X)),inverse(W)))
% -> inverse(W)
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [496]
% multiply(multiply(X,Y),multiply(multiply(inverse(Y),inverse(X)),W)) -> W
% Rule
% [495]
% multiply(multiply(X,Y),multiply(multiply(inverse(Y),inverse(X)),inverse(W)))
% -> inverse(W) collapsed.
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [497]
% inverse(multiply(multiply(inverse(W),inverse(Y)),inverse(X))) <->
% multiply(X,multiply(Y,W))
% Current number of equations to process: 4055
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [498]
% multiply(X,multiply(Y,W)) <->
% inverse(multiply(multiply(inverse(W),inverse(Y)),inverse(X)))
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [499]
% multiply(W,inverse(W)) <->
% multiply(multiply(inverse(X),inverse(Y)),multiply(Y,X))
% Current number of equations to process: 4055
% Current number of ordered equations: 1
% Current number of rules: 82
% Rule [499]
% multiply(W,inverse(W)) <->
% multiply(multiply(inverse(X),inverse(Y)),multiply(Y,X)) is composed into
% [499] multiply(W,inverse(W)) <-> multiply(c,inverse(c))
% New rule produced :
% [500]
% multiply(multiply(inverse(X),inverse(Y)),multiply(Y,X)) <->
% multiply(W,inverse(W))
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [501]
% inverse(multiply(inverse(X),multiply(Y,W))) <->
% multiply(multiply(inverse(W),inverse(Y)),X)
% Current number of equations to process: 4054
% Current number of ordered equations: 3
% Current number of rules: 84
% New rule produced :
% [502]
% inverse(multiply(multiply(X,Y),inverse(W))) <->
% multiply(W,multiply(inverse(Y),inverse(X)))
% Current number of equations to process: 4054
% Current number of ordered equations: 2
% Current number of rules: 85
% New rule produced :
% [503]
% multiply(W,multiply(inverse(Y),inverse(X))) <->
% inverse(multiply(multiply(X,Y),inverse(W)))
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [504]
% multiply(multiply(inverse(W),inverse(Y)),X) <->
% inverse(multiply(inverse(X),multiply(Y,W)))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [505]
% multiply(X,multiply(inverse(multiply(Y,X)),inverse(W))) ->
% multiply(inverse(Y),inverse(W))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [506]
% multiply(X,inverse(multiply(Y,inverse(multiply(inverse(X),inverse(W)))))) <->
% multiply(inverse(W),inverse(Y))
% Current number of equations to process: 4053
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [507]
% multiply(inverse(W),inverse(Y)) <->
% multiply(X,inverse(multiply(Y,inverse(multiply(inverse(X),inverse(W))))))
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [508]
% inverse(multiply(X,multiply(inverse(multiply(Y,X)),W))) <->
% multiply(inverse(W),Y)
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [509]
% multiply(inverse(W),Y) <->
% inverse(multiply(X,multiply(inverse(multiply(Y,X)),W)))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [510]
% inverse(multiply(X,inverse(multiply(inverse(Y),inverse(multiply(inverse(X),
% inverse(W))))))) ->
% multiply(inverse(Y),W)
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [511]
% multiply(multiply(X,Y),multiply(inverse(Y),inverse(X))) ->
% multiply(c,inverse(c))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [512]
% inverse(multiply(W,Y)) <->
% multiply(inverse(multiply(X,Y)),multiply(X,inverse(W)))
% Rule
% [464]
% inverse(multiply(Z,Y)) <->
% multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(X),inverse(Z)))
% collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [513]
% multiply(inverse(multiply(X,Y)),multiply(X,inverse(W))) <->
% inverse(multiply(W,Y))
% Rule
% [465]
% multiply(inverse(multiply(inverse(X),Y)),multiply(inverse(X),inverse(Z))) <->
% inverse(multiply(Z,Y)) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [514]
% multiply(multiply(X,inverse(Y)),multiply(Y,inverse(W))) ->
% multiply(X,inverse(W))
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [515]
% multiply(inverse(multiply(X,inverse(Y))),inverse(multiply(W,inverse(X)))) ->
% multiply(Y,inverse(W))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [516]
% multiply(multiply(X,Y),multiply(inverse(Y),inverse(W))) ->
% multiply(X,inverse(W))
% Rule
% [490]
% multiply(X,multiply(c,inverse(multiply(inverse(c),inverse(multiply(inverse(c),
% inverse(multiply(
% multiply(c,c),
% multiply(
% inverse(c),
% inverse(
% multiply(
% inverse(X),Y)))))))))))
% -> Y collapsed.
% Rule
% [511]
% multiply(multiply(X,Y),multiply(inverse(Y),inverse(X))) ->
% multiply(c,inverse(c)) collapsed.
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [517]
% multiply(inverse(multiply(inverse(X),inverse(Y))),inverse(multiply(W,X))) ->
% multiply(Y,inverse(W))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [518] multiply(multiply(X,inverse(Y)),multiply(Y,W)) -> multiply(X,W)
% Rule
% [500]
% multiply(multiply(inverse(X),inverse(Y)),multiply(Y,X)) <->
% multiply(W,inverse(W)) collapsed.
% Rule
% [514]
% multiply(multiply(X,inverse(Y)),multiply(Y,inverse(W))) ->
% multiply(X,inverse(W)) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [519]
% multiply(multiply(X,inverse(multiply(Y,W))),inverse(multiply(Z,inverse(Y))))
% <-> multiply(X,inverse(multiply(Z,W)))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 96
% New rule produced :
% [520]
% multiply(X,inverse(multiply(Z,W))) <->
% multiply(multiply(X,inverse(multiply(Y,W))),inverse(multiply(Z,inverse(Y))))
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 97
% New rule produced :
% [521]
% multiply(multiply(X,Z),inverse(W)) <->
% multiply(multiply(X,inverse(Y)),inverse(multiply(W,inverse(multiply(Y,Z)))))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [522]
% multiply(multiply(X,inverse(Y)),inverse(multiply(W,inverse(multiply(Y,Z)))))
% <-> multiply(multiply(X,Z),inverse(W))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [523]
% inverse(multiply(W,multiply(inverse(Y),inverse(X)))) <->
% multiply(multiply(X,Y),inverse(W))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 100
% New rule produced :
% [524]
% inverse(multiply(multiply(inverse(W),inverse(Y)),X)) <->
% multiply(inverse(X),multiply(Y,W))
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 101
% New rule produced :
% [525]
% multiply(inverse(X),multiply(Y,W)) <->
% inverse(multiply(multiply(inverse(W),inverse(Y)),X))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [526]
% multiply(multiply(X,Y),inverse(W)) <->
% inverse(multiply(W,multiply(inverse(Y),inverse(X))))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [527]
% multiply(inverse(multiply(X,Y)),inverse(multiply(W,inverse(X)))) ->
% multiply(inverse(Y),inverse(W))
% Rule
% [515]
% multiply(inverse(multiply(X,inverse(Y))),inverse(multiply(W,inverse(X)))) ->
% multiply(Y,inverse(W)) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [528]
% multiply(multiply(inverse(X),inverse(Y)),multiply(multiply(Y,X),W)) -> W
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [529]
% multiply(W,inverse(Y)) <->
% multiply(X,inverse(multiply(Y,multiply(inverse(W),X))))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [530]
% multiply(X,inverse(multiply(Y,multiply(inverse(W),X)))) <->
% multiply(W,inverse(Y))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [531]
% inverse(multiply(W,multiply(Y,X))) <->
% multiply(inverse(X),multiply(inverse(Y),inverse(W)))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [532]
% multiply(inverse(X),multiply(inverse(Y),inverse(W))) <->
% inverse(multiply(W,multiply(Y,X)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [533]
% multiply(inverse(X),inverse(multiply(Y,inverse(multiply(X,inverse(W)))))) <->
% multiply(inverse(W),inverse(Y))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [534]
% multiply(inverse(W),inverse(Y)) <->
% multiply(inverse(X),inverse(multiply(Y,inverse(multiply(X,inverse(W))))))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [535]
% multiply(W,inverse(Y)) <->
% multiply(inverse(X),inverse(multiply(Y,inverse(multiply(X,W)))))
% Rule
% [534]
% multiply(inverse(W),inverse(Y)) <->
% multiply(inverse(X),inverse(multiply(Y,inverse(multiply(X,inverse(W))))))
% collapsed.
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [536]
% multiply(inverse(X),inverse(multiply(Y,inverse(multiply(X,W))))) <->
% multiply(W,inverse(Y))
% Rule
% [533]
% multiply(inverse(X),inverse(multiply(Y,inverse(multiply(X,inverse(W)))))) <->
% multiply(inverse(W),inverse(Y)) collapsed.
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [537]
% inverse(multiply(W,multiply(Y,inverse(X)))) <->
% multiply(X,multiply(inverse(Y),inverse(W)))
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [538]
% multiply(X,multiply(inverse(Y),inverse(W))) <->
% inverse(multiply(W,multiply(Y,inverse(X))))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [539]
% multiply(inverse(X),Y) <->
% multiply(W,inverse(multiply(inverse(Y),multiply(X,W))))
% Current number of equations to process: 4055
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [540]
% multiply(W,inverse(multiply(inverse(Y),multiply(X,W)))) <->
% multiply(inverse(X),Y)
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [541]
% multiply(inverse(multiply(X,Y)),inverse(multiply(W,multiply(Z,inverse(X)))))
% <-> multiply(inverse(multiply(Z,Y)),inverse(W))
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [542]
% multiply(inverse(multiply(Z,Y)),inverse(W)) <->
% multiply(inverse(multiply(X,Y)),inverse(multiply(W,multiply(Z,inverse(X)))))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [543]
% multiply(Z,inverse(W)) <->
% multiply(multiply(inverse(X),inverse(Y)),inverse(multiply(W,inverse(multiply(Y,
% multiply(X,Z))))))
% Current number of equations to process: 4053
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [544]
% multiply(multiply(inverse(X),inverse(Y)),inverse(multiply(W,inverse(multiply(Y,
% multiply(X,Z))))))
% <-> multiply(Z,inverse(W))
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [545]
% multiply(inverse(multiply(X,multiply(Y,W))),inverse(multiply(Z,multiply(
% inverse(Y),
% inverse(X)))))
% -> multiply(inverse(W),inverse(Z))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 119
% Rule [539]
% multiply(inverse(X),Y) <->
% multiply(W,inverse(multiply(inverse(Y),multiply(X,W)))) is composed into
% [539] multiply(inverse(X),Y) <-> inverse(multiply(inverse(Y),X))
% Rule [529]
% multiply(W,inverse(Y)) <->
% multiply(X,inverse(multiply(Y,multiply(inverse(W),X)))) is composed into
% [529] multiply(W,inverse(Y)) <-> inverse(multiply(Y,inverse(W)))
% Rule [472]
% multiply(inverse(Z),inverse(W)) <->
% multiply(Y,inverse(multiply(W,multiply(Z,Y)))) is composed into
% [472] multiply(inverse(Z),inverse(W)) <-> inverse(multiply(W,Z))
% New rule produced :
% [546]
% multiply(W,inverse(multiply(X,multiply(Y,W)))) -> inverse(multiply(X,Y))
% Rule
% [471]
% multiply(Y,inverse(multiply(W,multiply(Z,Y)))) <->
% multiply(inverse(Z),inverse(W)) collapsed.
% Rule
% [481]
% multiply(c,inverse(multiply(c,multiply(Y,c)))) -> inverse(multiply(c,Y))
% collapsed.
% Rule
% [487]
% inverse(multiply(X,inverse(multiply(Y,multiply(W,X))))) -> multiply(Y,W)
% collapsed.
% Rule
% [530]
% multiply(X,inverse(multiply(Y,multiply(inverse(W),X)))) <->
% multiply(W,inverse(Y)) collapsed.
% Rule
% [540]
% multiply(W,inverse(multiply(inverse(Y),multiply(X,W)))) <->
% multiply(inverse(X),Y) collapsed.
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 115
% Rule [474]
% multiply(inverse(X),inverse(multiply(inverse(multiply(V_4,inverse(V_4))),W)))
% <->
% inverse(multiply(inverse(Y),inverse(multiply(inverse(X),inverse(
% multiply(Y,W)))))) is composed into
% [474]
% multiply(inverse(X),inverse(multiply(inverse(multiply(V_4,inverse(V_4))),W)))
% -> multiply(inverse(X),inverse(W))
% New rule produced :
% [547]
% inverse(multiply(inverse(X),inverse(multiply(Y,inverse(multiply(X,W)))))) ->
% multiply(Y,inverse(W))
% Rule
% [473]
% inverse(multiply(inverse(Y),inverse(multiply(inverse(X),inverse(multiply(Y,W))))))
% <->
% multiply(inverse(X),inverse(multiply(inverse(multiply(V_4,inverse(V_4))),W)))
% collapsed.
% Rule
% [484]
% multiply(c,inverse(multiply(inverse(c),inverse(multiply(inverse(c),inverse(
% multiply(c,
% inverse(
% multiply(X,Y)))))))))
% -> multiply(X,Y) collapsed.
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [548]
% multiply(inverse(W),inverse(multiply(inverse(X),inverse(multiply(W,Y))))) ->
% inverse(multiply(inverse(X),inverse(Y)))
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [549]
% inverse(multiply(X,inverse(multiply(inverse(Y),inverse(multiply(inverse(X),W))))))
% -> multiply(inverse(Y),inverse(W))
% Rule
% [510]
% inverse(multiply(X,inverse(multiply(inverse(Y),inverse(multiply(inverse(X),
% inverse(W))))))) ->
% multiply(inverse(Y),W) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [550]
% multiply(multiply(X,inverse(Y)),multiply(multiply(Y,inverse(X)),W)) -> W
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [551]
% inverse(multiply(multiply(W,inverse(Y)),inverse(X))) <->
% multiply(X,multiply(Y,inverse(W)))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [552]
% multiply(X,multiply(Y,inverse(W))) <->
% inverse(multiply(multiply(W,inverse(Y)),inverse(X)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [553]
% inverse(multiply(X,multiply(Y,W))) <->
% multiply(multiply(inverse(W),inverse(Y)),inverse(X))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 119
% New rule produced :
% [554]
% inverse(multiply(inverse(X),multiply(Y,inverse(W)))) <->
% multiply(multiply(W,inverse(Y)),X)
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 120
% New rule produced :
% [555]
% multiply(multiply(W,inverse(Y)),X) <->
% inverse(multiply(inverse(X),multiply(Y,inverse(W))))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [556]
% multiply(multiply(inverse(W),inverse(Y)),inverse(X)) <->
% inverse(multiply(X,multiply(Y,W)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [557]
% inverse(multiply(W,multiply(Y,inverse(X)))) <->
% multiply(multiply(X,inverse(Y)),inverse(W))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 123
% New rule produced :
% [558]
% inverse(multiply(multiply(W,inverse(Y)),X)) <->
% multiply(inverse(X),multiply(Y,inverse(W)))
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 124
% New rule produced :
% [559]
% multiply(inverse(X),multiply(Y,inverse(W))) <->
% inverse(multiply(multiply(W,inverse(Y)),X))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [560]
% multiply(multiply(X,inverse(Y)),inverse(W)) <->
% inverse(multiply(W,multiply(Y,inverse(X))))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [561]
% multiply(multiply(inverse(X),Y),multiply(multiply(inverse(Y),X),W)) -> W
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [562]
% inverse(multiply(multiply(inverse(W),Y),inverse(X))) <->
% multiply(X,multiply(inverse(Y),W))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [563]
% multiply(X,multiply(inverse(Y),W)) <->
% inverse(multiply(multiply(inverse(W),Y),inverse(X)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [564]
% multiply(W,inverse(W)) <->
% multiply(multiply(inverse(X),Y),multiply(inverse(Y),X))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 130
% Rule [564]
% multiply(W,inverse(W)) <->
% multiply(multiply(inverse(X),Y),multiply(inverse(Y),X)) is composed into
% [564] multiply(W,inverse(W)) <-> multiply(c,inverse(c))
% New rule produced :
% [565]
% multiply(multiply(inverse(X),Y),multiply(inverse(Y),X)) <->
% multiply(W,inverse(W))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [566]
% inverse(multiply(multiply(X,Y),W)) <->
% multiply(inverse(W),multiply(inverse(Y),inverse(X)))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 132
% New rule produced :
% [567]
% inverse(multiply(inverse(X),multiply(inverse(Y),W))) <->
% multiply(multiply(inverse(W),Y),X)
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 133
% New rule produced :
% [568]
% multiply(inverse(W),multiply(inverse(Y),inverse(X))) <->
% inverse(multiply(multiply(X,Y),W))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [569]
% multiply(multiply(inverse(W),Y),X) <->
% inverse(multiply(inverse(X),multiply(inverse(Y),W)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [570] multiply(multiply(X,Y),multiply(inverse(Y),W)) -> multiply(X,W)
% Rule
% [516]
% multiply(multiply(X,Y),multiply(inverse(Y),inverse(W))) ->
% multiply(X,inverse(W)) collapsed.
% Rule
% [565]
% multiply(multiply(inverse(X),Y),multiply(inverse(Y),X)) <->
% multiply(W,inverse(W)) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [571]
% inverse(multiply(W,multiply(inverse(Y),X))) <->
% multiply(multiply(inverse(X),Y),inverse(W))
% Current number of equations to process: 4052
% Current number of ordered equations: 3
% Current number of rules: 135
% New rule produced :
% [572]
% inverse(multiply(multiply(inverse(W),Y),X)) <->
% multiply(inverse(X),multiply(inverse(Y),W))
% Current number of equations to process: 4052
% Current number of ordered equations: 2
% Current number of rules: 136
% New rule produced :
% [573]
% multiply(inverse(X),multiply(inverse(Y),W)) <->
% inverse(multiply(multiply(inverse(W),Y),X))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [574]
% multiply(multiply(inverse(X),Y),inverse(W)) <->
% inverse(multiply(W,multiply(inverse(Y),X)))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [575]
% inverse(multiply(inverse(W),multiply(inverse(Y),inverse(X)))) <->
% multiply(multiply(X,Y),W)
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [576]
% multiply(multiply(X,Y),W) <->
% inverse(multiply(inverse(W),multiply(inverse(Y),inverse(X))))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [577]
% multiply(inverse(multiply(inverse(X),Y)),inverse(multiply(W,X))) ->
% multiply(inverse(Y),inverse(W))
% Rule
% [517]
% multiply(inverse(multiply(inverse(X),inverse(Y))),inverse(multiply(W,X))) ->
% multiply(Y,inverse(W)) collapsed.
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [578]
% inverse(multiply(inverse(X),multiply(multiply(X,Y),inverse(W)))) <->
% multiply(W,inverse(Y))
% Current number of equations to process: 4052
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [579]
% multiply(W,inverse(Y)) <->
% inverse(multiply(inverse(X),multiply(multiply(X,Y),inverse(W))))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [580]
% multiply(multiply(X,Y),inverse(multiply(W,inverse(multiply(inverse(Y),
% inverse(X)))))) ->
% inverse(W)
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [581]
% inverse(multiply(inverse(multiply(inverse(X),inverse(Y))),inverse(W))) <->
% multiply(W,inverse(multiply(Y,X)))
% Current number of equations to process: 4056
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [582]
% multiply(W,inverse(multiply(Y,X))) <->
% inverse(multiply(inverse(multiply(inverse(X),inverse(Y))),inverse(W)))
% Current number of equations to process: 4056
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [583]
% inverse(multiply(Z,multiply(multiply(inverse(W),inverse(Y)),inverse(X)))) <->
% multiply(multiply(X,multiply(Y,W)),inverse(Z))
% Current number of equations to process: 4067
% Current number of ordered equations: 3
% Current number of rules: 146
% New rule produced :
% [584]
% inverse(multiply(multiply(multiply(inverse(Z),inverse(W)),inverse(Y)),X)) <->
% multiply(inverse(X),multiply(Y,multiply(W,Z)))
% Current number of equations to process: 4067
% Current number of ordered equations: 2
% Current number of rules: 147
% New rule produced :
% [585]
% multiply(inverse(X),multiply(Y,multiply(W,Z))) <->
% inverse(multiply(multiply(multiply(inverse(Z),inverse(W)),inverse(Y)),X))
% Current number of equations to process: 4067
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [586]
% multiply(multiply(X,multiply(Y,W)),inverse(Z)) <->
% inverse(multiply(Z,multiply(multiply(inverse(W),inverse(Y)),inverse(X))))
% Current number of equations to process: 4067
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [587]
% inverse(multiply(multiply(multiply(inverse(Z),inverse(W)),inverse(Y)),
% inverse(X))) <-> multiply(X,multiply(Y,multiply(W,Z)))
% Current number of equations to process: 4066
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [588]
% multiply(X,multiply(Y,multiply(W,Z))) <->
% inverse(multiply(multiply(multiply(inverse(Z),inverse(W)),inverse(Y)),
% inverse(X)))
% Current number of equations to process: 4066
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [589]
% inverse(multiply(inverse(X),multiply(Y,multiply(W,Z)))) <->
% multiply(multiply(multiply(inverse(Z),inverse(W)),inverse(Y)),X)
% Current number of equations to process: 4068
% Current number of ordered equations: 9
% Current number of rules: 152
% New rule produced :
% [590]
% inverse(multiply(multiply(X,multiply(Y,W)),inverse(Z))) <->
% multiply(Z,multiply(multiply(inverse(W),inverse(Y)),inverse(X)))
% Current number of equations to process: 4068
% Current number of ordered equations: 8
% Current number of rules: 153
% New rule produced :
% [591]
% inverse(multiply(multiply(inverse(X),inverse(Y)),multiply(W,Z))) <->
% multiply(multiply(inverse(Z),inverse(W)),multiply(Y,X))
% Current number of equations to process: 4068
% Current number of ordered equations: 7
% Current number of rules: 154
% New rule produced :
% [592]
% inverse(multiply(multiply(multiply(X,Y),inverse(W)),inverse(Z))) <->
% multiply(Z,multiply(W,multiply(inverse(Y),inverse(X))))
% Current number of equations to process: 4068
% Current number of ordered equations: 6
% Current number of rules: 155
% New rule produced :
% [593]
% inverse(multiply(multiply(inverse(X),multiply(Y,W)),inverse(Z))) <->
% multiply(Z,multiply(multiply(inverse(W),inverse(Y)),X))
% Current number of equations to process: 4068
% Current number of ordered equations: 5
% Current number of rules: 156
% New rule produced :
% [594]
% multiply(Z,multiply(W,multiply(inverse(Y),inverse(X)))) <->
% inverse(multiply(multiply(multiply(X,Y),inverse(W)),inverse(Z)))
% Current number of equations to process: 4068
% Current number of ordered equations: 4
% Current number of rules: 157
% New rule produced :
% [595]
% multiply(Z,multiply(multiply(inverse(W),inverse(Y)),inverse(X))) <->
% inverse(multiply(multiply(X,multiply(Y,W)),inverse(Z)))
% Current number of equations to process: 4068
% Current number of ordered equations: 3
% Current number of rules: 158
% New rule produced :
% [596]
% multiply(Z,multiply(multiply(inverse(W),inverse(Y)),X)) <->
% inverse(multiply(multiply(inverse(X),multiply(Y,W)),inverse(Z)))
% Current number of equations to process: 4068
% Current number of ordered equations: 2
% Current number of rules: 159
% New rule produced :
% [597]
% multiply(multiply(inverse(Z),inverse(W)),multiply(Y,X)) <->
% inverse(multiply(multiply(inverse(X),inverse(Y)),multiply(W,Z)))
% Current number of equations to process: 4068
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [598]
% multiply(multiply(multiply(inverse(Z),inverse(W)),inverse(Y)),X) <->
% inverse(multiply(inverse(X),multiply(Y,multiply(W,Z))))
% Current number of equations to process: 4068
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [599]
% inverse(multiply(X,multiply(Y,multiply(W,Z)))) <->
% multiply(multiply(multiply(inverse(Z),inverse(W)),inverse(Y)),inverse(X))
% Current number of equations to process: 4082
% Current number of ordered equations: 7
% Current number of rules: 162
% New rule produced :
% [600]
% inverse(multiply(multiply(multiply(X,inverse(Y)),inverse(W)),inverse(Z))) <->
% multiply(Z,multiply(W,multiply(Y,inverse(X))))
% Current number of equations to process: 4082
% Current number of ordered equations: 6
% Current number of rules: 163
% New rule produced :
% [601]
% inverse(multiply(multiply(inverse(X),multiply(Y,inverse(W))),inverse(Z))) <->
% multiply(Z,multiply(multiply(W,inverse(Y)),X))
% Current number of equations to process: 4082
% Current number of ordered equations: 5
% Current number of rules: 164
% New rule produced :
% [602]
% inverse(multiply(multiply(inverse(X),inverse(Y)),multiply(W,inverse(Z)))) <->
% multiply(multiply(Z,inverse(W)),multiply(Y,X))
% Current number of equations to process: 4082
% Current number of ordered equations: 4
% Current number of rules: 165
% New rule produced :
% [603]
% multiply(multiply(Z,inverse(W)),multiply(Y,X)) <->
% inverse(multiply(multiply(inverse(X),inverse(Y)),multiply(W,inverse(Z))))
% Current number of equations to process: 4082
% Current number of ordered equations: 3
% Current number of rules: 166
% New rule produced :
% [604]
% multiply(Z,multiply(W,multiply(Y,inverse(X)))) <->
% inverse(multiply(multiply(multiply(X,inverse(Y)),inverse(W)),inverse(Z)))
% Current number of equations to process: 4082
% Current number of ordered equations: 2
% Current number of rules: 167
% New rule produced :
% [605]
% multiply(Z,multiply(multiply(W,inverse(Y)),X)) <->
% inverse(multiply(multiply(inverse(X),multiply(Y,inverse(W))),inverse(Z)))
% Current number of equations to process: 4082
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [606]
% multiply(multiply(multiply(inverse(Z),inverse(W)),inverse(Y)),inverse(X)) <->
% inverse(multiply(X,multiply(Y,multiply(W,Z))))
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [607]
% inverse(multiply(multiply(multiply(inverse(X),Y),inverse(W)),inverse(Z))) <->
% multiply(Z,multiply(W,multiply(inverse(Y),X)))
% Current number of equations to process: 4078
% Current number of ordered equations: 7
% Current number of rules: 170
% New rule produced :
% [608]
% inverse(multiply(multiply(inverse(X),multiply(inverse(Y),W)),inverse(Z))) <->
% multiply(Z,multiply(multiply(inverse(W),Y),X))
% Current number of equations to process: 4078
% Current number of ordered equations: 6
% Current number of rules: 171
% New rule produced :
% [609]
% inverse(multiply(multiply(inverse(X),inverse(Y)),multiply(inverse(W),Z))) <->
% multiply(multiply(inverse(Z),W),multiply(Y,X))
% Current number of equations to process: 4078
% Current number of ordered equations: 5
% Current number of rules: 172
% New rule produced :
% [610]
% inverse(multiply(multiply(X,multiply(Y,W)),Z)) <->
% multiply(inverse(Z),multiply(multiply(inverse(W),inverse(Y)),inverse(X)))
% Current number of equations to process: 4078
% Current number of ordered equations: 4
% Current number of rules: 173
% New rule produced :
% [611]
% multiply(Z,multiply(W,multiply(inverse(Y),X))) <->
% inverse(multiply(multiply(multiply(inverse(X),Y),inverse(W)),inverse(Z)))
% Current number of equations to process: 4078
% Current number of ordered equations: 3
% Current number of rules: 174
% New rule produced :
% [612]
% multiply(Z,multiply(multiply(inverse(W),Y),X)) <->
% inverse(multiply(multiply(inverse(X),multiply(inverse(Y),W)),inverse(Z)))
% Current number of equations to process: 4078
% Current number of ordered equations: 2
% Current number of rules: 175
% New rule produced :
% [613]
% multiply(inverse(Z),multiply(multiply(inverse(W),inverse(Y)),inverse(X))) <->
% inverse(multiply(multiply(X,multiply(Y,W)),Z))
% Current number of equations to process: 4078
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [614]
% multiply(multiply(inverse(Z),W),multiply(Y,X)) <->
% inverse(multiply(multiply(inverse(X),inverse(Y)),multiply(inverse(W),Z)))
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [615]
% inverse(multiply(inverse(Z),multiply(multiply(inverse(W),inverse(Y)),
% inverse(X)))) <->
% multiply(multiply(X,multiply(Y,W)),Z)
% Current number of equations to process: 4073
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [616]
% multiply(multiply(X,multiply(Y,W)),Z) <->
% inverse(multiply(inverse(Z),multiply(multiply(inverse(W),inverse(Y)),
% inverse(X))))
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [617]
% multiply(multiply(X,multiply(Y,W)),multiply(multiply(inverse(W),inverse(Y)),
% inverse(X))) -> multiply(c,inverse(c))
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [618]
% multiply(multiply(X,multiply(Y,W)),multiply(multiply(inverse(W),inverse(Y)),
% inverse(Z))) -> multiply(X,inverse(Z))
% Rule
% [617]
% multiply(multiply(X,multiply(Y,W)),multiply(multiply(inverse(W),inverse(Y)),
% inverse(X))) -> multiply(c,inverse(c))
% collapsed.
% Current number of equations to process: 4074
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [619]
% inverse(multiply(Z,multiply(inverse(W),multiply(Y,X)))) <->
% multiply(multiply(multiply(inverse(X),inverse(Y)),W),inverse(Z))
% Current number of equations to process: 4075
% Current number of ordered equations: 3
% Current number of rules: 181
% New rule produced :
% [620]
% inverse(multiply(multiply(inverse(Z),multiply(W,Y)),X)) <->
% multiply(inverse(X),multiply(multiply(inverse(Y),inverse(W)),Z))
% Current number of equations to process: 4075
% Current number of ordered equations: 2
% Current number of rules: 182
% New rule produced :
% [621]
% multiply(inverse(X),multiply(multiply(inverse(Y),inverse(W)),Z)) <->
% inverse(multiply(multiply(inverse(Z),multiply(W,Y)),X))
% Current number of equations to process: 4075
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [622]
% multiply(multiply(multiply(inverse(X),inverse(Y)),W),inverse(Z)) <->
% inverse(multiply(Z,multiply(inverse(W),multiply(Y,X))))
% Current number of equations to process: 4075
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [623]
% inverse(multiply(multiply(multiply(inverse(X),inverse(Y)),W),inverse(Z))) <->
% multiply(Z,multiply(inverse(W),multiply(Y,X)))
% Current number of equations to process: 4078
% Current number of ordered equations: 5
% Current number of rules: 185
% New rule produced :
% [624]
% inverse(multiply(inverse(X),multiply(multiply(inverse(Y),inverse(W)),Z))) <->
% multiply(multiply(inverse(Z),multiply(W,Y)),X)
% Current number of equations to process: 4078
% Current number of ordered equations: 4
% Current number of rules: 186
% New rule produced :
% [625]
% inverse(multiply(multiply(X,Y),multiply(W,Z))) <->
% multiply(multiply(inverse(Z),inverse(W)),multiply(inverse(Y),inverse(X)))
% Current number of equations to process: 4078
% Current number of ordered equations: 3
% Current number of rules: 187
% New rule produced :
% [626]
% multiply(Z,multiply(inverse(W),multiply(Y,X))) <->
% inverse(multiply(multiply(multiply(inverse(X),inverse(Y)),W),inverse(Z)))
% Current number of equations to process: 4078
% Current number of ordered equations: 2
% Current number of rules: 188
% New rule produced :
% [627]
% multiply(multiply(inverse(Z),multiply(W,Y)),X) <->
% inverse(multiply(inverse(X),multiply(multiply(inverse(Y),inverse(W)),Z)))
% Current number of equations to process: 4078
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [628]
% multiply(multiply(inverse(Z),inverse(W)),multiply(inverse(Y),inverse(X))) <->
% inverse(multiply(multiply(X,Y),multiply(W,Z)))
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [629]
% multiply(multiply(X,multiply(Y,W)),multiply(multiply(inverse(W),inverse(Y)),Z))
% -> multiply(X,Z)
% Rule
% [618]
% multiply(multiply(X,multiply(Y,W)),multiply(multiply(inverse(W),inverse(Y)),
% inverse(Z))) -> multiply(X,inverse(Z))
% collapsed.
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [630]
% inverse(multiply(X,multiply(multiply(inverse(Y),inverse(W)),Z))) <->
% multiply(multiply(inverse(Z),multiply(W,Y)),inverse(X))
% Current number of equations to process: 4093
% Current number of ordered equations: 3
% Current number of rules: 191
% New rule produced :
% [631]
% inverse(multiply(multiply(X,inverse(Y)),multiply(W,Z))) <->
% multiply(multiply(inverse(Z),inverse(W)),multiply(Y,inverse(X)))
% Current number of equations to process: 4093
% Current number of ordered equations: 2
% Current number of rules: 192
% New rule produced :
% [632]
% multiply(multiply(inverse(Z),multiply(W,Y)),inverse(X)) <->
% inverse(multiply(X,multiply(multiply(inverse(Y),inverse(W)),Z)))
% Current number of equations to process: 4093
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [633]
% multiply(multiply(inverse(Z),inverse(W)),multiply(Y,inverse(X))) <->
% inverse(multiply(multiply(X,inverse(Y)),multiply(W,Z)))
% Current number of equations to process: 4093
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [634]
% inverse(multiply(multiply(inverse(X),Y),multiply(W,Z))) <->
% multiply(multiply(inverse(Z),inverse(W)),multiply(inverse(Y),X))
% Current number of equations to process: 4091
% Current number of ordered equations: 3
% Current number of rules: 195
% New rule produced :
% [635]
% inverse(multiply(multiply(multiply(inverse(X),inverse(Y)),W),Z)) <->
% multiply(inverse(Z),multiply(inverse(W),multiply(Y,X)))
% Current number of equations to process: 4091
% Current number of ordered equations: 2
% Current number of rules: 196
% New rule produced :
% [636]
% multiply(inverse(Z),multiply(inverse(W),multiply(Y,X))) <->
% inverse(multiply(multiply(multiply(inverse(X),inverse(Y)),W),Z))
% Current number of equations to process: 4091
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [637]
% multiply(multiply(inverse(Z),inverse(W)),multiply(inverse(Y),X)) <->
% inverse(multiply(multiply(inverse(X),Y),multiply(W,Z)))
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [638]
% inverse(multiply(inverse(Z),multiply(inverse(W),multiply(Y,X)))) <->
% multiply(multiply(multiply(inverse(X),inverse(Y)),W),Z)
% Current number of equations to process: 4090
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [639]
% multiply(multiply(multiply(inverse(X),inverse(Y)),W),Z) <->
% inverse(multiply(inverse(Z),multiply(inverse(W),multiply(Y,X))))
% Current number of equations to process: 4090
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [640]
% inverse(multiply(Z,multiply(multiply(W,Y),inverse(X)))) <->
% multiply(multiply(X,multiply(inverse(Y),inverse(W))),inverse(Z))
% Current number of equations to process: 4089
% Current number of ordered equations: 3
% Current number of rules: 201
% New rule produced :
% [641]
% inverse(multiply(multiply(multiply(Z,W),inverse(Y)),X)) <->
% multiply(inverse(X),multiply(Y,multiply(inverse(W),inverse(Z))))
% Current number of equations to process: 4089
% Current number of ordered equations: 2
% Current number of rules: 202
% New rule produced :
% [642]
% multiply(inverse(X),multiply(Y,multiply(inverse(W),inverse(Z)))) <->
% inverse(multiply(multiply(multiply(Z,W),inverse(Y)),X))
% Current number of equations to process: 4089
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [643]
% multiply(multiply(X,multiply(inverse(Y),inverse(W))),inverse(Z)) <->
% inverse(multiply(Z,multiply(multiply(W,Y),inverse(X))))
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [644]
% inverse(multiply(multiply(X,multiply(inverse(Y),inverse(W))),inverse(Z))) <->
% multiply(Z,multiply(multiply(W,Y),inverse(X)))
% Current number of equations to process: 4091
% Current number of ordered equations: 3
% Current number of rules: 205
% New rule produced :
% [645]
% inverse(multiply(inverse(X),multiply(Y,multiply(inverse(W),inverse(Z))))) <->
% multiply(multiply(multiply(Z,W),inverse(Y)),X)
% Current number of equations to process: 4091
% Current number of ordered equations: 2
% Current number of rules: 206
% New rule produced :
% [646]
% multiply(Z,multiply(multiply(W,Y),inverse(X))) <->
% inverse(multiply(multiply(X,multiply(inverse(Y),inverse(W))),inverse(Z)))
% Current number of equations to process: 4091
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [647]
% multiply(multiply(multiply(Z,W),inverse(Y)),X) <->
% inverse(multiply(inverse(X),multiply(Y,multiply(inverse(W),inverse(Z)))))
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [648]
% inverse(multiply(X,multiply(Y,multiply(inverse(W),inverse(Z))))) <->
% multiply(multiply(multiply(Z,W),inverse(Y)),inverse(X))
% Current number of equations to process: 4108
% Current number of ordered equations: 3
% Current number of rules: 209
% New rule produced :
% [649]
% inverse(multiply(multiply(X,Y),multiply(W,inverse(Z)))) <->
% multiply(multiply(Z,inverse(W)),multiply(inverse(Y),inverse(X)))
% Current number of equations to process: 4108
% Current number of ordered equations: 2
% Current number of rules: 210
% New rule produced :
% [650]
% multiply(multiply(Z,inverse(W)),multiply(inverse(Y),inverse(X))) <->
% inverse(multiply(multiply(X,Y),multiply(W,inverse(Z))))
% Current number of equations to process: 4108
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [651]
% multiply(multiply(multiply(Z,W),inverse(Y)),inverse(X)) <->
% inverse(multiply(X,multiply(Y,multiply(inverse(W),inverse(Z)))))
% Current number of equations to process: 4108
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [652]
% inverse(multiply(multiply(X,Y),multiply(inverse(W),Z))) <->
% multiply(multiply(inverse(Z),W),multiply(inverse(Y),inverse(X)))
% Current number of equations to process: 4106
% Current number of ordered equations: 3
% Current number of rules: 213
% New rule produced :
% [653]
% inverse(multiply(multiply(X,multiply(inverse(Y),inverse(W))),Z)) <->
% multiply(inverse(Z),multiply(multiply(W,Y),inverse(X)))
% Current number of equations to process: 4106
% Current number of ordered equations: 2
% Current number of rules: 214
% New rule produced :
% [654]
% multiply(inverse(Z),multiply(multiply(W,Y),inverse(X))) <->
% inverse(multiply(multiply(X,multiply(inverse(Y),inverse(W))),Z))
% Current number of equations to process: 4106
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [655]
% multiply(multiply(inverse(Z),W),multiply(inverse(Y),inverse(X))) <->
% inverse(multiply(multiply(X,Y),multiply(inverse(W),Z)))
% Current number of equations to process: 4106
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [656]
% inverse(multiply(inverse(Z),multiply(multiply(W,Y),inverse(X)))) <->
% multiply(multiply(X,multiply(inverse(Y),inverse(W))),Z)
% Current number of equations to process: 4105
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [657]
% multiply(multiply(X,multiply(inverse(Y),inverse(W))),Z) <->
% inverse(multiply(inverse(Z),multiply(multiply(W,Y),inverse(X))))
% Current number of equations to process: 4105
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [658]
% inverse(multiply(multiply(Z,multiply(W,inverse(Y))),inverse(X))) <->
% multiply(X,multiply(multiply(Y,inverse(W)),inverse(Z)))
% Current number of equations to process: 4119
% Current number of ordered equations: 3
% Current number of rules: 219
% New rule produced :
% [659]
% inverse(multiply(multiply(multiply(Z,inverse(W)),Y),inverse(X))) <->
% multiply(X,multiply(inverse(Y),multiply(W,inverse(Z))))
% Current number of equations to process: 4119
% Current number of ordered equations: 2
% Current number of rules: 220
% New rule produced :
% [660]
% multiply(X,multiply(multiply(Y,inverse(W)),inverse(Z))) <->
% inverse(multiply(multiply(Z,multiply(W,inverse(Y))),inverse(X)))
% Current number of equations to process: 4119
% Current number of ordered equations: 1
% Current number of rules: 221
% New rule produced :
% [661]
% multiply(X,multiply(inverse(Y),multiply(W,inverse(Z)))) <->
% inverse(multiply(multiply(multiply(Z,inverse(W)),Y),inverse(X)))
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [662]
% inverse(multiply(multiply(Z,multiply(inverse(W),Y)),inverse(X))) <->
% multiply(X,multiply(multiply(inverse(Y),W),inverse(Z)))
% Current number of equations to process: 4117
% Current number of ordered equations: 3
% Current number of rules: 223
% New rule produced :
% [663]
% inverse(multiply(multiply(multiply(inverse(Z),W),Y),inverse(X))) <->
% multiply(X,multiply(inverse(Y),multiply(inverse(W),Z)))
% Current number of equations to process: 4117
% Current number of ordered equations: 2
% Current number of rules: 224
% New rule produced :
% [664]
% multiply(X,multiply(multiply(inverse(Y),W),inverse(Z))) <->
% inverse(multiply(multiply(Z,multiply(inverse(W),Y)),inverse(X)))
% Current number of equations to process: 4117
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [665]
% multiply(X,multiply(inverse(Y),multiply(inverse(W),Z))) <->
% inverse(multiply(multiply(multiply(inverse(Z),W),Y),inverse(X)))
% Current number of equations to process: 4117
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [666]
% multiply(inverse(multiply(Y,W)),multiply(inverse(multiply(inverse(W),
% inverse(Y))),X)) -> X
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [667]
% multiply(inverse(multiply(inverse(X),inverse(Y))),inverse(multiply(inverse(W),
% multiply(Y,X)))) ->
% W
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [668]
% multiply(inverse(multiply(inverse(X),inverse(Y))),inverse(multiply(W,
% multiply(Y,X)))) ->
% inverse(W)
% Rule
% [667]
% multiply(inverse(multiply(inverse(X),inverse(Y))),inverse(multiply(inverse(W),
% multiply(Y,X)))) ->
% W collapsed.
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [669]
% inverse(multiply(inverse(Z),multiply(W,multiply(Y,inverse(X))))) <->
% multiply(multiply(multiply(X,inverse(Y)),inverse(W)),Z)
% Current number of equations to process: 4129
% Current number of ordered equations: 3
% Current number of rules: 229
% New rule produced :
% [670]
% inverse(multiply(inverse(Z),multiply(multiply(W,inverse(Y)),X))) <->
% multiply(multiply(inverse(X),multiply(Y,inverse(W))),Z)
% Current number of equations to process: 4129
% Current number of ordered equations: 2
% Current number of rules: 230
% New rule produced :
% [671]
% multiply(multiply(inverse(X),multiply(Y,inverse(W))),Z) <->
% inverse(multiply(inverse(Z),multiply(multiply(W,inverse(Y)),X)))
% Current number of equations to process: 4129
% Current number of ordered equations: 1
% Current number of rules: 231
% New rule produced :
% [672]
% multiply(multiply(multiply(X,inverse(Y)),inverse(W)),Z) <->
% inverse(multiply(inverse(Z),multiply(W,multiply(Y,inverse(X)))))
% Current number of equations to process: 4129
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [673]
% inverse(multiply(inverse(Z),multiply(W,multiply(inverse(Y),X)))) <->
% multiply(multiply(multiply(inverse(X),Y),inverse(W)),Z)
% Current number of equations to process: 4127
% Current number of ordered equations: 3
% Current number of rules: 233
% New rule produced :
% [674]
% inverse(multiply(inverse(Z),multiply(multiply(inverse(W),Y),X))) <->
% multiply(multiply(inverse(X),multiply(inverse(Y),W)),Z)
% Current number of equations to process: 4127
% Current number of ordered equations: 2
% Current number of rules: 234
% New rule produced :
% [675]
% multiply(multiply(multiply(inverse(X),Y),inverse(W)),Z) <->
% inverse(multiply(inverse(Z),multiply(W,multiply(inverse(Y),X))))
% Current number of equations to process: 4127
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [676]
% multiply(multiply(inverse(X),multiply(inverse(Y),W)),Z) <->
% inverse(multiply(inverse(Z),multiply(multiply(inverse(W),Y),X)))
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [677]
% multiply(inverse(X),multiply(multiply(X,inverse(Y)),inverse(W))) ->
% multiply(inverse(Y),inverse(W))
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 237
% Rule [509]
% multiply(inverse(W),Y) <->
% inverse(multiply(X,multiply(inverse(multiply(Y,X)),W))) is composed into
% [509] multiply(inverse(W),Y) <-> inverse(multiply(inverse(Y),W))
% New rule produced :
% [678]
% multiply(X,multiply(inverse(multiply(Y,X)),W)) -> multiply(inverse(Y),W)
% Rule
% [505]
% multiply(X,multiply(inverse(multiply(Y,X)),inverse(W))) ->
% multiply(inverse(Y),inverse(W)) collapsed.
% Rule
% [508]
% inverse(multiply(X,multiply(inverse(multiply(Y,X)),W))) <->
% multiply(inverse(W),Y) collapsed.
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 236
% Rule [582]
% multiply(W,inverse(multiply(Y,X))) <->
% inverse(multiply(inverse(multiply(inverse(X),inverse(Y))),inverse(W))) is composed into
% [582]
% multiply(W,inverse(multiply(Y,X))) <->
% inverse(multiply(Y,multiply(inverse(inverse(X)),inverse(W))))
% New rule produced :
% [679]
% multiply(inverse(multiply(Y,inverse(X))),inverse(W)) ->
% multiply(X,multiply(inverse(Y),inverse(W)))
% Rule [486] multiply(inverse(multiply(Y,inverse(Y))),inverse(X)) -> inverse(X)
% collapsed.
% Rule
% [581]
% inverse(multiply(inverse(multiply(inverse(X),inverse(Y))),inverse(W))) <->
% multiply(W,inverse(multiply(Y,X))) collapsed.
% Rule
% [668]
% multiply(inverse(multiply(inverse(X),inverse(Y))),inverse(multiply(W,
% multiply(Y,X)))) ->
% inverse(W) collapsed.
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [680]
% multiply(inverse(multiply(X,c)),inverse(Y)) ->
% multiply(inverse(c),multiply(inverse(X),inverse(Y)))
% Current number of equations to process: 4126
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [681]
% inverse(multiply(Y,multiply(X,inverse(W)))) <->
% multiply(W,inverse(multiply(Y,X)))
% Current number of equations to process: 4125
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [682]
% multiply(W,inverse(multiply(Y,X))) <->
% inverse(multiply(Y,multiply(X,inverse(W))))
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 237
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 43 rules have been used:
% [1]
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),multiply(
% inverse(X),W))),Z),
% inverse(multiply(Y,Z))))) -> W; trace = in the starting set
% [2] inverse(multiply(multiply(inverse(multiply(inverse(V_4),multiply(
% inverse(inverse(X)),W))),V_5),
% inverse(multiply(V_4,V_5)))) <->
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),W)),Z),
% inverse(multiply(Y,Z))))); trace = Self cp of 1
% [3] multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(Y),W)),Z),
% inverse(multiply(Y,Z))))) <->
% multiply(X,inverse(multiply(multiply(inverse(multiply(inverse(c),W)),c),
% inverse(multiply(c,c))))); trace = Self cp of 1
% [5] multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(
% multiply(
% inverse(Y),W)),Z),
% inverse(multiply(Y,Z)))))) -> W; trace = Cp of 2 and 1
% [7] inverse(multiply(multiply(inverse(multiply(inverse(Z),Y)),V_4),inverse(
% multiply(Z,V_4))))
% <->
% multiply(X,inverse(multiply(multiply(inverse(Y),W),inverse(multiply(
% inverse(X),W))))); trace = Cp of 5 and 1
% [8] multiply(X,multiply(X,inverse(multiply(multiply(inverse(multiply(
% inverse(X),W)),W),
% inverse(multiply(inverse(X),W)))))) -> W; trace = in the starting set
% [9] multiply(inverse(X),multiply(X,multiply(c,inverse(multiply(multiply(
% inverse(W),c),
% inverse(multiply(
% inverse(c),c)))))))
% -> W; trace = Cp of 2 and 1
% [10] multiply(X,inverse(multiply(multiply(inverse(X),W),inverse(multiply(
% inverse(X),W)))))
% <->
% multiply(c,inverse(multiply(multiply(inverse(X),c),inverse(multiply(
% inverse(c),c))))); trace = Cp of 3 and 1
% [11] multiply(c,inverse(multiply(multiply(inverse(X),c),inverse(multiply(
% inverse(c),c)))))
% <->
% multiply(X,inverse(multiply(multiply(inverse(X),W),inverse(multiply(
% inverse(X),W))))); trace = Cp of 3 and 1
% [12] multiply(X,inverse(multiply(Y,inverse(Y)))) <->
% multiply(c,inverse(multiply(multiply(inverse(X),c),inverse(multiply(
% inverse(c),c))))); trace = Cp of 10 and 8
% [13] multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(multiply(
% inverse(Y),W),
% inverse(multiply(
% inverse(Y),W)))))))
% -> Y; trace = Cp of 11 and 9
% [14] multiply(inverse(X),multiply(X,multiply(Y,inverse(multiply(W,inverse(W))))))
% -> Y; trace = Cp of 13 and 9
% [16] multiply(X,multiply(c,inverse(multiply(multiply(inverse(W),c),inverse(
% multiply(
% inverse(c),c))))))
% <->
% multiply(X,multiply(X,inverse(multiply(multiply(inverse(W),W),inverse(
% multiply(
% inverse(X),W)))))); trace = Self cp of 1
% [17] multiply(inverse(X),multiply(X,multiply(X,inverse(multiply(multiply(
% inverse(Y),Y),
% inverse(multiply(
% inverse(X),Y)))))))
% -> Y; trace = Cp of 16 and 9
% [18] multiply(inverse(X),multiply(X,multiply(c,multiply(Y,inverse(multiply(
% multiply(
% inverse(W),Z),
% inverse(
% multiply(
% inverse(Y),Z))))))))
% -> multiply(inverse(inverse(c)),W); trace = Cp of 9 and 7
% [19] multiply(inverse(X),multiply(X,Y)) <->
% multiply(inverse(c),multiply(c,Y)); trace = Cp of 18 and 8
% [20] multiply(inverse(inverse(c)),multiply(inverse(c),Y)) <->
% multiply(inverse(X),multiply(X,Y)); trace = Cp of 18 and 8
% [23] multiply(inverse(c),multiply(c,multiply(X,multiply(Y,inverse(multiply(W,
% inverse(W)))))))
% <-> multiply(inverse(inverse(X)),Y); trace = Cp of 19 and 14
% [27] multiply(inverse(Y),multiply(Y,multiply(inverse(c),inverse(multiply(
% multiply(
% inverse(X),X),
% inverse(
% multiply(
% inverse(
% inverse(c)),X)))))))
% -> X; trace = Cp of 20 and 17
% [34] multiply(inverse(X),multiply(c,inverse(multiply(multiply(inverse(X),c),
% inverse(multiply(inverse(c),c))))))
% <-> multiply(inverse(c),multiply(c,inverse(multiply(Y,inverse(Y))))); trace = Cp of 19 and 12
% [39] multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(X),Y),
% inverse(multiply(inverse(X),Y))))))
% <-> multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))); trace = Cp of 34 and 11
% [40] multiply(inverse(X),multiply(X,inverse(multiply(Y,inverse(Y))))) <->
% multiply(inverse(c),multiply(c,inverse(multiply(W,inverse(W))))); trace = Cp of 39 and 9
% [50] multiply(Z,inverse(multiply(multiply(inverse(multiply(W,X)),V_4),
% inverse(multiply(inverse(Z),V_4))))) <->
% inverse(multiply(multiply(inverse(multiply(inverse(c),multiply(c,X))),Y),
% inverse(multiply(W,Y)))); trace = Cp of 19 and 7
% [52] multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(
% multiply(
% inverse(c),
% multiply(c,Y))),W),
% inverse(multiply(Z,W)))))) <->
% multiply(Z,Y); trace = Cp of 50 and 27
% [53] multiply(Z,Y) <->
% multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(
% multiply(
% inverse(c),
% multiply(c,Y))),W),
% inverse(multiply(Z,W)))))); trace = Cp of 50 and 27
% [64] inverse(multiply(c,inverse(c))) <-> inverse(multiply(X,inverse(X))); trace = Cp of 50 and 40
% [67] multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),W),
% inverse(multiply(Z,W)))))) <->
% multiply(Z,multiply(Y,inverse(multiply(V_4,inverse(V_4))))); trace = Cp of 52 and 14
% [72] multiply(inverse(X),multiply(inverse(Y),multiply(Y,inverse(multiply(
% multiply(
% inverse(W),Z),
% inverse(
% multiply(X,Z)))))))
% -> W; trace = Cp of 53 and 9
% [73] multiply(inverse(X),multiply(X,Y)) <->
% multiply(inverse(W),multiply(W,Y)); trace = Cp of 53 and 20
% [75] multiply(inverse(W),multiply(W,multiply(X,multiply(Y,inverse(multiply(Z,
% inverse(Z)))))))
% <-> multiply(inverse(inverse(X)),Y); trace = Cp of 53 and 23
% [84] multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(
% multiply(
% inverse(Y),
% multiply(Y,W))),Z),
% inverse(multiply(V_4,Z)))))) <->
% multiply(V_4,W); trace = Cp of 53 and 52
% [109] multiply(inverse(X),multiply(X,inverse(multiply(multiply(inverse(Y),
% inverse(W)),inverse(
% multiply(c,
% inverse(c)))))))
% <-> multiply(W,multiply(Y,inverse(multiply(Z,inverse(Z))))); trace = Cp of 67 and 12
% [111] inverse(multiply(multiply(inverse(X),Y),inverse(multiply(W,Y)))) <->
% inverse(multiply(multiply(inverse(X),Z),inverse(multiply(W,Z)))); trace = Cp of 72 and 7
% [112] multiply(X,inverse(X)) <-> multiply(c,inverse(c)); trace = Cp of 72 and 64
% [113] multiply(c,inverse(c)) <-> multiply(X,inverse(X)); trace = Cp of 72 and 64
% [168] multiply(multiply(inverse(X),Y),inverse(multiply(W,Y))) <->
% multiply(multiply(inverse(X),Z),inverse(multiply(W,Z))); trace = Cp of 111 and 72
% [180] multiply(inverse(inverse(Y)),multiply(W,inverse(W))) <->
% multiply(inverse(X),multiply(X,inverse(inverse(Y)))); trace = Cp of 112 and 75
% [192] multiply(Z,Y) <->
% inverse(inverse(inverse(multiply(multiply(inverse(multiply(inverse(X),
% multiply(X,Y))),W),
% inverse(multiply(Z,W)))))); trace = Cp of 112 and 84
% [252] inverse(multiply(inverse(Y),inverse(W))) <->
% multiply(W,multiply(Y,inverse(multiply(V_4,inverse(V_4))))); trace = Cp of 113 and 109
% [454] multiply(multiply(X,Z),inverse(multiply(Y,Z))) ->
% multiply(X,inverse(Y)); trace = Cp of 180 and 168
% [456] multiply(W,X) <-> inverse(multiply(inverse(X),inverse(W))); trace = Cp of 192 and 75
% [496] multiply(multiply(X,Y),multiply(multiply(inverse(Y),inverse(X)),W)) ->
% W; trace = Cp of 252 and 73
% [682] multiply(W,inverse(multiply(Y,X))) <->
% inverse(multiply(Y,multiply(X,inverse(W)))); trace = Cp of 496 and 454
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 97.160000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------