TSTP Solution File: GRP473-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP473-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n143.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:23:15 EDT 2014

% Result   : Unsatisfiable 199.11s
% Output   : Refutation 199.11s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP473-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n143.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun  6 14:07:28 CDT 2014
% % CPUTime  : 199.11 
% Processing problem /tmp/CiME_41503_n143.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a2,b2 : constant;  multiply : 2;  inverse : 1;  divide : 2;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) = B;
% multiply(A,B) = divide(A,inverse(B));
% ";
% 
% let s1 = status F "
% a2 lr_lex;
% b2 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% divide lr_lex;
% ";
% 
% let p1 = precedence F "
% multiply > divide > inverse > b2 > a2";
% 
% let s2 = status F "
% a2 mul;
% b2 mul;
% multiply mul;
% inverse mul;
% divide mul;
% ";
% 
% let p2 = precedence F "
% multiply > divide > inverse > b2 = a2";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(multiply(inverse(b2),b2),a2) = a2;"
% ;
% (*
% 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 = { divide(divide(inverse(divide(A,B)),divide(
% divide(C,D),A)),
% divide(D,C)) = B,
% multiply(A,B) = divide(A,inverse(B)) }
% (2 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(multiply(inverse(b2),b2),a2) = a2 }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] multiply(A,B) -> divide(A,inverse(B))
% The conjecture has been reduced. 
% Conjecture is now:
% divide(divide(inverse(b2),inverse(b2)),inverse(a2)) = a2
% 
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 1
% New rule produced :
% [2]
% divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% divide(divide(inverse(divide(divide(A,B),C)),D),divide(divide(divide(B,A),V_4),
% inverse(divide(V_4,D)))) -> C
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),
% divide(divide(V_4,V_5),D)))),
% divide(C,B)) -> divide(V_5,V_4)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% divide(divide(C,D),divide(inverse(V_4),divide(divide(D,C),divide(inverse(
% divide(V_5,V_4)),
% divide(divide(A,B),V_5)))))
% -> divide(A,B)
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% divide(divide(A,B),divide(inverse(C),divide(divide(B,A),divide(inverse(
% divide(D,C)),
% divide(V_4,D))))) ->
% V_4
% Rule
% [5]
% divide(divide(C,D),divide(inverse(V_4),divide(divide(D,C),divide(inverse(
% divide(V_5,V_4)),
% divide(divide(A,B),V_5)))))
% -> divide(A,B) collapsed.
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [7]
% divide(divide(divide(divide(divide(A,B),inverse(divide(B,C))),D),inverse(
% divide(D,V_4))),
% divide(inverse(C),V_4)) -> A
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% divide(divide(A,inverse(divide(divide(inverse(B),C),D))),divide(inverse(C),D))
% <-> divide(divide(A,V_4),inverse(divide(V_4,B)))
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9]
% divide(divide(A,V_4),inverse(divide(V_4,B))) <->
% divide(divide(A,a2),inverse(divide(a2,B)))
% Current number of equations to process: 93
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [10]
% divide(divide(A,a2),inverse(divide(a2,B))) <->
% divide(divide(A,V_4),inverse(divide(V_4,B)))
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11]
% divide(inverse(divide(A,B)),divide(C,A)) <->
% divide(divide(inverse(D),V_4),divide(C,inverse(divide(divide(inverse(B),D),V_4))))
% Current number of equations to process: 122
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [12]
% divide(divide(inverse(D),V_4),divide(C,inverse(divide(divide(inverse(B),D),V_4))))
% <-> divide(inverse(divide(A,B)),divide(C,A))
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [13]
% divide(divide(A,inverse(B)),divide(inverse(divide(divide(C,D),V_4)),divide(D,C)))
% <-> divide(divide(A,V_5),inverse(divide(V_5,divide(V_4,B))))
% Current number of equations to process: 136
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [14]
% divide(divide(A,V_5),inverse(divide(V_5,divide(V_4,B)))) <->
% divide(divide(A,inverse(B)),divide(inverse(divide(divide(C,D),V_4)),divide(D,C)))
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [15]
% divide(inverse(divide(C,A)),divide(B,C)) <->
% divide(inverse(divide(a2,A)),divide(B,a2))
% Current number of equations to process: 142
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [16]
% divide(inverse(divide(a2,A)),divide(B,a2)) <->
% divide(inverse(divide(C,A)),divide(B,C))
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [17]
% divide(divide(divide(A,a2),inverse(divide(a2,B))),divide(inverse(C),B)) <->
% divide(divide(divide(A,divide(inverse(D),C)),V_4),inverse(divide(V_4,D)))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 16
% Rule [17]
% divide(divide(divide(A,a2),inverse(divide(a2,B))),divide(inverse(C),B))
% <->
% divide(divide(divide(A,divide(inverse(D),C)),V_4),inverse(divide(V_4,D))) is composed into 
% [17]
% divide(divide(divide(A,a2),inverse(divide(a2,B))),divide(inverse(C),B)) <->
% divide(divide(divide(A,a2),inverse(divide(a2,a2))),divide(inverse(C),a2))
% New rule produced :
% [18]
% divide(divide(divide(A,divide(inverse(D),C)),V_4),inverse(divide(V_4,D))) <->
% divide(divide(divide(A,a2),inverse(divide(a2,B))),divide(inverse(C),B))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [19]
% divide(divide(A,divide(inverse(divide(B,C)),divide(divide(D,V_4),B))),
% inverse(C)) -> divide(divide(A,a2),inverse(divide(a2,divide(V_4,D))))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [20]
% divide(divide(A,B),inverse(divide(B,C))) <->
% divide(divide(A,D),inverse(divide(D,C)))
% Rule
% [9]
% divide(divide(A,V_4),inverse(divide(V_4,B))) <->
% divide(divide(A,a2),inverse(divide(a2,B))) collapsed.
% Rule
% [10]
% divide(divide(A,a2),inverse(divide(a2,B))) <->
% divide(divide(A,V_4),inverse(divide(V_4,B))) collapsed.
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [21]
% divide(inverse(divide(V_5,divide(C,V_4))),divide(D,V_5)) <->
% divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),divide(D,inverse(V_4)))
% Current number of equations to process: 245
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [22]
% divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),divide(D,inverse(V_4)))
% <-> divide(inverse(divide(V_5,divide(C,V_4))),divide(D,V_5))
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [23]
% divide(divide(A,divide(B,C)),inverse(divide(divide(B,a2),inverse(divide(a2,D)))))
% -> divide(divide(A,a2),inverse(divide(a2,inverse(divide(C,D)))))
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [24]
% divide(divide(inverse(divide(inverse(divide(A,B)),C)),divide(divide(D,a2),
% inverse(divide(a2,B)))),
% divide(A,D)) -> C
% Current number of equations to process: 243
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [25]
% divide(divide(inverse(divide(inverse(divide(a2,A)),B)),divide(divide(C,D),
% inverse(divide(D,A)))),
% divide(a2,C)) -> B
% Current number of equations to process: 242
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [26]
% divide(divide(A,divide(B,a2)),inverse(divide(divide(B,C),inverse(divide(C,D)))))
% -> divide(divide(A,a2),inverse(divide(a2,inverse(divide(a2,D)))))
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [27]
% divide(divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(
% divide(
% inverse(V_4),A),B)))),
% divide(D,C)) -> V_4
% Current number of equations to process: 240
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [28]
% divide(divide(divide(A,a2),inverse(divide(a2,B))),inverse(divide(inverse(
% divide(C,B)),D)))
% <-> divide(divide(divide(A,C),a2),inverse(divide(a2,D)))
% Current number of equations to process: 239
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [29]
% divide(divide(divide(A,C),a2),inverse(divide(a2,D))) <->
% divide(divide(divide(A,a2),inverse(divide(a2,B))),inverse(divide(inverse(
% divide(C,B)),D)))
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [30]
% divide(divide(divide(inverse(divide(V_4,A)),a2),inverse(divide(a2,B))),
% inverse(divide(inverse(divide(divide(divide(C,B),V_4),B)),D))) ->
% divide(A,inverse(divide(divide(B,C),D)))
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [31]
% divide(divide(divide(A,B),inverse(divide(B,C))),inverse(divide(inverse(
% divide(a2,C)),D)))
% <-> divide(divide(divide(A,a2),a2),inverse(divide(a2,D)))
% Current number of equations to process: 237
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [32]
% divide(divide(divide(A,a2),a2),inverse(divide(a2,D))) <->
% divide(divide(divide(A,B),inverse(divide(B,C))),inverse(divide(inverse(
% divide(a2,C)),D)))
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [33]
% divide(inverse(A),divide(B,divide(inverse(divide(C,A)),divide(divide(D,V_4),C))))
% <-> divide(inverse(divide(a2,divide(V_4,D))),divide(B,a2))
% Current number of equations to process: 416
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [34]
% divide(inverse(divide(a2,divide(V_4,D))),divide(B,a2)) <->
% divide(inverse(A),divide(B,divide(inverse(divide(C,A)),divide(divide(D,V_4),C))))
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [35]
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(a2,D)),divide(A,a2)))
% <-> divide(inverse(divide(a2,C)),divide(inverse(divide(B,D)),a2))
% Current number of equations to process: 415
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [36]
% divide(inverse(divide(a2,C)),divide(inverse(divide(B,D)),a2)) <->
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(a2,D)),divide(A,a2)))
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [37]
% divide(inverse(divide(a2,B)),divide(inverse(divide(a2,D)),a2)) <->
% divide(inverse(divide(divide(A,a2),B)),divide(inverse(divide(C,D)),divide(A,C)))
% Current number of equations to process: 414
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [38]
% divide(inverse(divide(divide(A,a2),B)),divide(inverse(divide(C,D)),divide(A,C)))
% <-> divide(inverse(divide(a2,B)),divide(inverse(divide(a2,D)),a2))
% Current number of equations to process: 414
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [39]
% divide(divide(inverse(A),a2),divide(divide(B,a2),inverse(divide(a2,a2)))) <->
% divide(divide(inverse(A),C),divide(divide(B,a2),inverse(divide(a2,C))))
% Current number of equations to process: 427
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [40]
% divide(divide(inverse(A),C),divide(divide(B,a2),inverse(divide(a2,C)))) <->
% divide(divide(inverse(A),a2),divide(divide(B,a2),inverse(divide(a2,a2))))
% Current number of equations to process: 427
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [41]
% divide(divide(inverse(A),B),divide(divide(C,a2),inverse(divide(a2,B)))) <->
% divide(inverse(divide(D,V_4)),divide(divide(C,divide(inverse(V_4),A)),D))
% Current number of equations to process: 467
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [42]
% divide(inverse(divide(D,V_4)),divide(divide(C,divide(inverse(V_4),A)),D)) <->
% divide(divide(inverse(A),B),divide(divide(C,a2),inverse(divide(a2,B))))
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [43]
% divide(divide(divide(A,a2),inverse(divide(a2,B))),divide(inverse(C),B)) <->
% divide(divide(divide(A,a2),inverse(divide(a2,D))),divide(inverse(C),D))
% Rule
% [17]
% divide(divide(divide(A,a2),inverse(divide(a2,B))),divide(inverse(C),B)) <->
% divide(divide(divide(A,a2),inverse(divide(a2,a2))),divide(inverse(C),a2))
% collapsed.
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [44]
% divide(inverse(divide(divide(A,B),C)),D) <->
% divide(inverse(divide(a2,C)),divide(divide(inverse(divide(V_4,D)),divide(
% divide(B,A),V_4)),a2))
% Current number of equations to process: 503
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [45]
% divide(inverse(divide(a2,C)),divide(divide(inverse(divide(V_4,D)),divide(
% divide(B,A),V_4)),a2))
% <-> divide(inverse(divide(divide(A,B),C)),D)
% Current number of equations to process: 503
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [46]
% divide(inverse(divide(a2,divide(B,D))),divide(C,a2)) <->
% divide(inverse(divide(inverse(divide(a2,A)),divide(B,a2))),divide(C,inverse(
% divide(D,A))))
% Current number of equations to process: 502
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [47]
% divide(inverse(divide(inverse(divide(a2,A)),divide(B,a2))),divide(C,inverse(
% divide(D,A))))
% <-> divide(inverse(divide(a2,divide(B,D))),divide(C,a2))
% Current number of equations to process: 502
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [48]
% divide(divide(A,a2),inverse(divide(a2,divide(D,a2)))) <->
% divide(divide(A,inverse(divide(a2,B))),inverse(divide(inverse(divide(C,B)),
% divide(D,C))))
% Current number of equations to process: 501
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [49]
% divide(divide(A,inverse(divide(a2,B))),inverse(divide(inverse(divide(C,B)),
% divide(D,C)))) <->
% divide(divide(A,a2),inverse(divide(a2,divide(D,a2))))
% Current number of equations to process: 501
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [50]
% divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(D,inverse(
% divide(a2,B))))
% <-> divide(inverse(divide(a2,divide(C,a2))),divide(D,a2))
% Current number of equations to process: 500
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [51]
% divide(inverse(divide(a2,divide(C,a2))),divide(D,a2)) <->
% divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(D,inverse(
% divide(a2,B))))
% Current number of equations to process: 500
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [52]
% divide(inverse(divide(A,B)),divide(C,A)) <->
% divide(inverse(divide(D,B)),divide(C,D))
% Rule
% [15]
% divide(inverse(divide(C,A)),divide(B,C)) <->
% divide(inverse(divide(a2,A)),divide(B,a2)) collapsed.
% Rule
% [16]
% divide(inverse(divide(a2,A)),divide(B,a2)) <->
% divide(inverse(divide(C,A)),divide(B,C)) collapsed.
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [53]
% divide(divide(divide(A,B),inverse(divide(B,C))),divide(inverse(D),C)) <->
% divide(divide(divide(A,a2),inverse(divide(a2,a2))),divide(inverse(D),a2))
% Current number of equations to process: 615
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [54]
% divide(divide(divide(A,a2),inverse(divide(a2,a2))),divide(inverse(D),a2)) <->
% divide(divide(divide(A,B),inverse(divide(B,C))),divide(inverse(D),C))
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [55]
% divide(inverse(divide(V_4,V_5)),divide(divide(C,divide(inverse(V_5),A)),V_4))
% <-> divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B))))
% Rule
% [42]
% divide(inverse(divide(D,V_4)),divide(divide(C,divide(inverse(V_4),A)),D)) <->
% divide(divide(inverse(A),B),divide(divide(C,a2),inverse(divide(a2,B))))
% collapsed.
% Current number of equations to process: 614
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [56]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))) <->
% divide(inverse(divide(V_4,V_5)),divide(divide(C,divide(inverse(V_5),A)),V_4))
% Rule
% [3]
% divide(divide(inverse(divide(divide(A,B),C)),D),divide(divide(divide(B,A),V_4),
% inverse(divide(V_4,D)))) -> C
% collapsed.
% Rule
% [41]
% divide(divide(inverse(A),B),divide(divide(C,a2),inverse(divide(a2,B)))) <->
% divide(inverse(divide(D,V_4)),divide(divide(C,divide(inverse(V_4),A)),D))
% collapsed.
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [57]
% divide(inverse(divide(a2,a2)),divide(divide(divide(B,A),divide(inverse(a2),
% divide(divide(A,B),C))),a2))
% -> C
% Current number of equations to process: 625
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [58]
% divide(divide(inverse(divide(inverse(divide(A,B)),C)),divide(divide(D,V_4),
% inverse(divide(V_4,B)))),
% divide(A,D)) -> C
% Rule
% [24]
% divide(divide(inverse(divide(inverse(divide(A,B)),C)),divide(divide(D,a2),
% inverse(divide(a2,B)))),
% divide(A,D)) -> C collapsed.
% Rule
% [25]
% divide(divide(inverse(divide(inverse(divide(a2,A)),B)),divide(divide(C,D),
% inverse(divide(D,A)))),
% divide(a2,C)) -> B collapsed.
% Current number of equations to process: 624
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [59]
% divide(divide(A,V_5),inverse(divide(V_5,inverse(divide(C,V_4))))) <->
% divide(divide(A,divide(B,C)),inverse(divide(divide(B,D),inverse(divide(D,V_4)))))
% Current number of equations to process: 623
% Current number of ordered equations: 1
% Current number of rules: 48
% Rule [59]
% divide(divide(A,V_5),inverse(divide(V_5,inverse(divide(C,V_4))))) <->
% divide(divide(A,divide(B,C)),inverse(divide(divide(B,D),inverse(
% divide(D,V_4))))) is composed into 
% [59]
% divide(divide(A,V_5),inverse(divide(V_5,inverse(divide(C,V_4))))) <->
% divide(divide(A,a2),inverse(divide(a2,inverse(divide(C,V_4)))))
% New rule produced :
% [60]
% divide(divide(A,divide(B,C)),inverse(divide(divide(B,D),inverse(divide(D,V_4)))))
% <-> divide(divide(A,V_5),inverse(divide(V_5,inverse(divide(C,V_4)))))
% Rule
% [23]
% divide(divide(A,divide(B,C)),inverse(divide(divide(B,a2),inverse(divide(a2,D)))))
% -> divide(divide(A,a2),inverse(divide(a2,inverse(divide(C,D))))) collapsed.
% Rule
% [26]
% divide(divide(A,divide(B,a2)),inverse(divide(divide(B,C),inverse(divide(C,D)))))
% -> divide(divide(A,a2),inverse(divide(a2,inverse(divide(a2,D))))) collapsed.
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [61]
% divide(divide(divide(inverse(divide(V_4,A)),divide(divide(C,B),V_4)),V_5),
% inverse(divide(V_5,D))) -> divide(A,inverse(divide(divide(B,C),D)))
% Current number of equations to process: 622
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [62]
% divide(divide(divide(A,D),V_5),inverse(divide(V_5,V_4))) <->
% divide(divide(divide(A,B),inverse(divide(B,C))),inverse(divide(inverse(
% divide(D,C)),V_4)))
% Rule
% [7]
% divide(divide(divide(divide(divide(A,B),inverse(divide(B,C))),D),inverse(
% divide(D,V_4))),
% divide(inverse(C),V_4)) -> A collapsed.
% Rule
% [18]
% divide(divide(divide(A,divide(inverse(D),C)),V_4),inverse(divide(V_4,D))) <->
% divide(divide(divide(A,a2),inverse(divide(a2,B))),divide(inverse(C),B))
% collapsed.
% Rule
% [29]
% divide(divide(divide(A,C),a2),inverse(divide(a2,D))) <->
% divide(divide(divide(A,a2),inverse(divide(a2,B))),inverse(divide(inverse(
% divide(C,B)),D)))
% collapsed.
% Rule
% [32]
% divide(divide(divide(A,a2),a2),inverse(divide(a2,D))) <->
% divide(divide(divide(A,B),inverse(divide(B,C))),inverse(divide(inverse(
% divide(a2,C)),D)))
% collapsed.
% Rule
% [61]
% divide(divide(divide(inverse(divide(V_4,A)),divide(divide(C,B),V_4)),V_5),
% inverse(divide(V_5,D))) -> divide(A,inverse(divide(divide(B,C),D)))
% collapsed.
% Current number of equations to process: 624
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [63]
% divide(divide(divide(A,B),inverse(divide(B,C))),inverse(divide(inverse(
% divide(D,C)),V_4)))
% <-> divide(divide(divide(A,D),V_5),inverse(divide(V_5,V_4)))
% Rule
% [28]
% divide(divide(divide(A,a2),inverse(divide(a2,B))),inverse(divide(inverse(
% divide(C,B)),D)))
% <-> divide(divide(divide(A,C),a2),inverse(divide(a2,D))) collapsed.
% Rule
% [31]
% divide(divide(divide(A,B),inverse(divide(B,C))),inverse(divide(inverse(
% divide(a2,C)),D)))
% <-> divide(divide(divide(A,a2),a2),inverse(divide(a2,D))) collapsed.
% Current number of equations to process: 624
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [64]
% divide(A,divide(divide(inverse(B),divide(divide(C,D),A)),divide(D,C))) -> B
% Current number of equations to process: 783
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [65]
% divide(divide(A,B),divide(inverse(divide(a2,divide(C,D))),divide(divide(B,A),a2)))
% -> divide(D,C)
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [66]
% divide(divide(inverse(divide(a2,B)),divide(D,a2)),inverse(divide(divide(D,A),C)))
% <-> divide(divide(inverse(divide(A,B)),a2),inverse(divide(a2,C)))
% Current number of equations to process: 1054
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [67]
% divide(divide(inverse(divide(A,B)),a2),inverse(divide(a2,C))) <->
% divide(divide(inverse(divide(a2,B)),divide(D,a2)),inverse(divide(divide(D,A),C)))
% Current number of equations to process: 1054
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [68]
% divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,a2),D)))
% <-> divide(divide(inverse(divide(a2,B)),a2),inverse(divide(a2,D)))
% Current number of equations to process: 1159
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [69]
% divide(divide(inverse(divide(a2,B)),a2),inverse(divide(a2,D))) <->
% divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,a2),D)))
% Current number of equations to process: 1159
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [70]
% divide(divide(inverse(A),D),divide(divide(B,a2),inverse(divide(a2,D)))) <->
% divide(divide(inverse(A),a2),divide(divide(B,C),inverse(divide(C,a2))))
% Rule
% [40]
% divide(divide(inverse(A),C),divide(divide(B,a2),inverse(divide(a2,C)))) <->
% divide(divide(inverse(A),a2),divide(divide(B,a2),inverse(divide(a2,a2))))
% collapsed.
% Current number of equations to process: 1282
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [71]
% divide(divide(inverse(A),a2),divide(divide(B,C),inverse(divide(C,a2)))) <->
% divide(divide(inverse(A),D),divide(divide(B,a2),inverse(divide(a2,D))))
% Rule
% [39]
% divide(divide(inverse(A),a2),divide(divide(B,a2),inverse(divide(a2,a2)))) <->
% divide(divide(inverse(A),C),divide(divide(B,a2),inverse(divide(a2,C))))
% collapsed.
% Current number of equations to process: 1282
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [72]
% divide(divide(inverse(A),B),divide(divide(C,a2),inverse(divide(a2,B)))) <->
% divide(divide(inverse(A),D),divide(divide(C,a2),inverse(divide(a2,D))))
% Current number of equations to process: 1298
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [73]
% divide(divide(divide(A,B),inverse(divide(B,C))),divide(inverse(D),C)) <->
% divide(divide(divide(A,a2),inverse(divide(a2,V_4))),divide(inverse(D),V_4))
% Rule
% [43]
% divide(divide(divide(A,a2),inverse(divide(a2,B))),divide(inverse(C),B)) <->
% divide(divide(divide(A,a2),inverse(divide(a2,D))),divide(inverse(C),D))
% collapsed.
% Rule
% [53]
% divide(divide(divide(A,B),inverse(divide(B,C))),divide(inverse(D),C)) <->
% divide(divide(divide(A,a2),inverse(divide(a2,a2))),divide(inverse(D),a2))
% collapsed.
% Current number of equations to process: 1311
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [74]
% divide(divide(divide(A,B),C),inverse(divide(C,divide(divide(D,V_4),divide(B,A)))))
% -> divide(V_4,D)
% Current number of equations to process: 1322
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [75]
% divide(inverse(divide(A,divide(B,divide(C,D)))),divide(divide(D,C),A)) -> B
% Current number of equations to process: 1328
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [76]
% divide(divide(A,a2),inverse(divide(a2,divide(D,B)))) <->
% divide(divide(A,inverse(divide(B,C))),inverse(divide(inverse(divide(a2,C)),
% divide(D,a2))))
% Current number of equations to process: 1598
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [77]
% divide(divide(A,inverse(divide(B,C))),inverse(divide(inverse(divide(a2,C)),
% divide(D,a2)))) <->
% divide(divide(A,a2),inverse(divide(a2,divide(D,B))))
% Current number of equations to process: 1598
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [78]
% divide(divide(A,B),inverse(divide(B,divide(C,a2)))) <->
% divide(divide(A,inverse(divide(a2,D))),inverse(divide(inverse(divide(V_4,D)),
% divide(C,V_4))))
% Rule
% [48]
% divide(divide(A,a2),inverse(divide(a2,divide(D,a2)))) <->
% divide(divide(A,inverse(divide(a2,B))),inverse(divide(inverse(divide(C,B)),
% divide(D,C)))) collapsed.
% Current number of equations to process: 1743
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [79]
% divide(inverse(A),divide(B,divide(inverse(divide(C,A)),divide(divide(D,V_4),C))))
% <-> divide(inverse(divide(V_5,divide(V_4,D))),divide(B,V_5))
% Rule
% [33]
% divide(inverse(A),divide(B,divide(inverse(divide(C,A)),divide(divide(D,V_4),C))))
% <-> divide(inverse(divide(a2,divide(V_4,D))),divide(B,a2)) collapsed.
% Current number of equations to process: 2129
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [80]
% divide(inverse(divide(V_5,divide(V_4,D))),divide(B,V_5)) <->
% divide(inverse(A),divide(B,divide(inverse(divide(C,A)),divide(divide(D,V_4),C))))
% Rule
% [34]
% divide(inverse(divide(a2,divide(V_4,D))),divide(B,a2)) <->
% divide(inverse(A),divide(B,divide(inverse(divide(C,A)),divide(divide(D,V_4),C))))
% collapsed.
% Current number of equations to process: 2129
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [81]
% divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,D),V_4)))
% <-> divide(divide(inverse(divide(D,B)),V_5),inverse(divide(V_5,V_4)))
% Rule
% [66]
% divide(divide(inverse(divide(a2,B)),divide(D,a2)),inverse(divide(divide(D,A),C)))
% <-> divide(divide(inverse(divide(A,B)),a2),inverse(divide(a2,C))) collapsed.
% Rule
% [68]
% divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,a2),D)))
% <-> divide(divide(inverse(divide(a2,B)),a2),inverse(divide(a2,D))) collapsed.
% Current number of equations to process: 2127
% Current number of ordered equations: 3
% Current number of rules: 52
% New rule produced :
% [82]
% divide(inverse(divide(divide(A,B),inverse(divide(B,C)))),divide(D,divide(A,V_4)))
% <-> divide(inverse(divide(V_5,inverse(divide(V_4,C)))),divide(D,V_5))
% Current number of equations to process: 2127
% Current number of ordered equations: 2
% Current number of rules: 53
% New rule produced :
% [83]
% divide(inverse(divide(V_5,inverse(divide(V_4,C)))),divide(D,V_5)) <->
% divide(inverse(divide(divide(A,B),inverse(divide(B,C)))),divide(D,divide(A,V_4)))
% Current number of equations to process: 2127
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [84]
% divide(divide(inverse(divide(D,B)),V_5),inverse(divide(V_5,V_4))) <->
% divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,D),V_4)))
% Rule
% [67]
% divide(divide(inverse(divide(A,B)),a2),inverse(divide(a2,C))) <->
% divide(divide(inverse(divide(a2,B)),divide(D,a2)),inverse(divide(divide(D,A),C)))
% collapsed.
% Rule
% [69]
% divide(divide(inverse(divide(a2,B)),a2),inverse(divide(a2,D))) <->
% divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,a2),D)))
% collapsed.
% Current number of equations to process: 2127
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [85]
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(D,V_4)),divide(A,D)))
% <-> divide(inverse(divide(a2,C)),divide(inverse(divide(B,V_4)),a2))
% Rule
% [35]
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(a2,D)),divide(A,a2)))
% <-> divide(inverse(divide(a2,C)),divide(inverse(divide(B,D)),a2)) collapsed.
% Rule
% [38]
% divide(inverse(divide(divide(A,a2),B)),divide(inverse(divide(C,D)),divide(A,C)))
% <-> divide(inverse(divide(a2,B)),divide(inverse(divide(a2,D)),a2)) collapsed.
% Current number of equations to process: 2126
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [86]
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(a2,D)),divide(A,a2)))
% <-> divide(inverse(divide(V_4,C)),divide(inverse(divide(B,D)),V_4))
% Current number of equations to process: 2125
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [87]
% divide(inverse(divide(V_4,C)),divide(inverse(divide(B,D)),V_4)) <->
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(a2,D)),divide(A,a2)))
% Rule
% [36]
% divide(inverse(divide(a2,C)),divide(inverse(divide(B,D)),a2)) <->
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(a2,D)),divide(A,a2)))
% collapsed.
% Current number of equations to process: 2125
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [88]
% divide(inverse(divide(V_4,B)),divide(inverse(divide(a2,D)),V_4)) <->
% divide(inverse(divide(divide(A,a2),B)),divide(inverse(divide(C,D)),divide(A,C)))
% Rule
% [37]
% divide(inverse(divide(a2,B)),divide(inverse(divide(a2,D)),a2)) <->
% divide(inverse(divide(divide(A,a2),B)),divide(inverse(divide(C,D)),divide(A,C)))
% collapsed.
% Current number of equations to process: 2124
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [89]
% divide(inverse(divide(V_5,C)),divide(inverse(divide(B,V_4)),V_5)) <->
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(D,V_4)),divide(A,D)))
% Rule
% [87]
% divide(inverse(divide(V_4,C)),divide(inverse(divide(B,D)),V_4)) <->
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(a2,D)),divide(A,a2)))
% collapsed.
% Rule
% [88]
% divide(inverse(divide(V_4,B)),divide(inverse(divide(a2,D)),V_4)) <->
% divide(inverse(divide(divide(A,a2),B)),divide(inverse(divide(C,D)),divide(A,C)))
% collapsed.
% Current number of equations to process: 2123
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [90]
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(D,V_4)),divide(A,D)))
% <-> divide(inverse(divide(V_5,C)),divide(inverse(divide(B,V_4)),V_5))
% Rule
% [85]
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(D,V_4)),divide(A,D)))
% <-> divide(inverse(divide(a2,C)),divide(inverse(divide(B,V_4)),a2))
% collapsed.
% Rule
% [86]
% divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(a2,D)),divide(A,a2)))
% <-> divide(inverse(divide(V_4,C)),divide(inverse(divide(B,D)),V_4))
% collapsed.
% Current number of equations to process: 2123
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [91]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))) <->
% divide(divide(inverse(A),a2),divide(divide(C,a2),inverse(divide(a2,a2))))
% Current number of equations to process: 2129
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [92]
% divide(divide(inverse(A),a2),divide(divide(C,a2),inverse(divide(a2,a2)))) <->
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B))))
% Current number of equations to process: 2129
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [93]
% divide(divide(divide(A,D),inverse(divide(D,V_4))),divide(inverse(C),V_4)) <->
% divide(divide(divide(A,B),inverse(divide(B,a2))),divide(inverse(C),a2))
% Current number of equations to process: 2134
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [94]
% divide(divide(divide(A,B),inverse(divide(B,a2))),divide(inverse(C),a2)) <->
% divide(divide(divide(A,D),inverse(divide(D,V_4))),divide(inverse(C),V_4))
% Rule
% [54]
% divide(divide(divide(A,a2),inverse(divide(a2,a2))),divide(inverse(D),a2)) <->
% divide(divide(divide(A,B),inverse(divide(B,C))),divide(inverse(D),C))
% collapsed.
% Current number of equations to process: 2134
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [95]
% divide(divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))),
% divide(divide(inverse(V_4),A),C)) -> V_4
% Current number of equations to process: 2142
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [96]
% divide(divide(inverse(a2),divide(divide(D,V_4),C)),divide(V_4,D)) <->
% divide(divide(inverse(a2),divide(divide(A,B),C)),divide(B,A))
% Current number of equations to process: 2310
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [97]
% divide(divide(A,B),divide(inverse(a2),divide(divide(B,A),C))) <->
% divide(divide(D,V_4),divide(inverse(a2),divide(divide(V_4,D),C)))
% Current number of equations to process: 2320
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [98]
% divide(inverse(divide(A,a2)),divide(divide(divide(B,C),divide(inverse(a2),
% divide(divide(C,B),D))),A))
% -> D
% Rule
% [57]
% divide(inverse(divide(a2,a2)),divide(divide(divide(B,A),divide(inverse(a2),
% divide(divide(A,B),C))),a2))
% -> C collapsed.
% Current number of equations to process: 2330
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [99]
% divide(inverse(divide(divide(A,B),C)),D) <->
% divide(inverse(divide(V_4,C)),divide(divide(inverse(divide(V_5,D)),divide(
% divide(B,A),V_5)),V_4))
% Rule
% [44]
% divide(inverse(divide(divide(A,B),C)),D) <->
% divide(inverse(divide(a2,C)),divide(divide(inverse(divide(V_4,D)),divide(
% divide(B,A),V_4)),a2))
% collapsed.
% Current number of equations to process: 2334
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [100]
% divide(inverse(divide(V_4,C)),divide(divide(inverse(divide(V_5,D)),divide(
% divide(B,A),V_5)),V_4))
% <-> divide(inverse(divide(divide(A,B),C)),D)
% Rule
% [45]
% divide(inverse(divide(a2,C)),divide(divide(inverse(divide(V_4,D)),divide(
% divide(B,A),V_4)),a2))
% <-> divide(inverse(divide(divide(A,B),C)),D) collapsed.
% Current number of equations to process: 2334
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [101]
% divide(inverse(divide(V_5,C)),divide(divide(D,A),V_5)) <->
% divide(inverse(divide(inverse(divide(A,B)),C)),divide(divide(D,V_4),inverse(
% divide(V_4,B))))
% Current number of equations to process: 2332
% Current number of ordered equations: 3
% Current number of rules: 58
% New rule produced :
% [102]
% divide(divide(A,V_5),inverse(divide(V_5,divide(V_4,B)))) <->
% divide(divide(A,inverse(divide(B,C))),inverse(divide(inverse(divide(D,C)),
% divide(V_4,D))))
% Rule
% [76]
% divide(divide(A,a2),inverse(divide(a2,divide(D,B)))) <->
% divide(divide(A,inverse(divide(B,C))),inverse(divide(inverse(divide(a2,C)),
% divide(D,a2)))) collapsed.
% Rule
% [78]
% divide(divide(A,B),inverse(divide(B,divide(C,a2)))) <->
% divide(divide(A,inverse(divide(a2,D))),inverse(divide(inverse(divide(V_4,D)),
% divide(C,V_4)))) collapsed.
% Current number of equations to process: 2332
% Current number of ordered equations: 2
% Current number of rules: 57
% New rule produced :
% [103]
% divide(divide(A,inverse(divide(B,C))),inverse(divide(inverse(divide(D,C)),
% divide(V_4,D)))) <->
% divide(divide(A,V_5),inverse(divide(V_5,divide(V_4,B))))
% Rule
% [49]
% divide(divide(A,inverse(divide(a2,B))),inverse(divide(inverse(divide(C,B)),
% divide(D,C)))) <->
% divide(divide(A,a2),inverse(divide(a2,divide(D,a2)))) collapsed.
% Rule
% [77]
% divide(divide(A,inverse(divide(B,C))),inverse(divide(inverse(divide(a2,C)),
% divide(D,a2)))) <->
% divide(divide(A,a2),inverse(divide(a2,divide(D,B)))) collapsed.
% Current number of equations to process: 2332
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [104]
% divide(inverse(divide(inverse(divide(A,B)),C)),divide(divide(D,V_4),inverse(
% divide(V_4,B))))
% <-> divide(inverse(divide(V_5,C)),divide(divide(D,A),V_5))
% Current number of equations to process: 2332
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [105]
% divide(inverse(divide(V_4,divide(B,D))),divide(C,V_4)) <->
% divide(inverse(divide(inverse(divide(a2,A)),divide(B,a2))),divide(C,inverse(
% divide(D,A))))
% Rule
% [46]
% divide(inverse(divide(a2,divide(B,D))),divide(C,a2)) <->
% divide(inverse(divide(inverse(divide(a2,A)),divide(B,a2))),divide(C,inverse(
% divide(D,A))))
% collapsed.
% Current number of equations to process: 2330
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [106]
% divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(D,inverse(
% divide(V_4,B))))
% <-> divide(inverse(divide(a2,divide(C,V_4))),divide(D,a2))
% Rule
% [47]
% divide(inverse(divide(inverse(divide(a2,A)),divide(B,a2))),divide(C,inverse(
% divide(D,A))))
% <-> divide(inverse(divide(a2,divide(B,D))),divide(C,a2)) collapsed.
% Rule
% [50]
% divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(D,inverse(
% divide(a2,B))))
% <-> divide(inverse(divide(a2,divide(C,a2))),divide(D,a2)) collapsed.
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [107]
% divide(inverse(divide(V_4,divide(C,a2))),divide(D,V_4)) <->
% divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(D,inverse(
% divide(a2,B))))
% Rule
% [51]
% divide(inverse(divide(a2,divide(C,a2))),divide(D,a2)) <->
% divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(D,inverse(
% divide(a2,B))))
% collapsed.
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [108]
% divide(inverse(divide(V_5,divide(C,V_4))),divide(D,V_5)) <->
% divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(D,inverse(
% divide(V_4,B))))
% Rule
% [105]
% divide(inverse(divide(V_4,divide(B,D))),divide(C,V_4)) <->
% divide(inverse(divide(inverse(divide(a2,A)),divide(B,a2))),divide(C,inverse(
% divide(D,A))))
% collapsed.
% Rule
% [107]
% divide(inverse(divide(V_4,divide(C,a2))),divide(D,V_4)) <->
% divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(D,inverse(
% divide(a2,B))))
% collapsed.
% Current number of equations to process: 2327
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [109]
% divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(D,inverse(
% divide(V_4,B))))
% <-> divide(inverse(divide(V_5,divide(C,V_4))),divide(D,V_5))
% Rule
% [106]
% divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(D,inverse(
% divide(V_4,B))))
% <-> divide(inverse(divide(a2,divide(C,V_4))),divide(D,a2)) collapsed.
% Current number of equations to process: 2327
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [110]
% divide(divide(inverse(divide(A,B)),a2),inverse(divide(a2,inverse(divide(A,C)))))
% <->
% divide(divide(inverse(divide(D,B)),V_4),inverse(divide(V_4,inverse(divide(D,C)))))
% Current number of equations to process: 2588
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [111]
% divide(divide(inverse(divide(D,B)),V_4),inverse(divide(V_4,inverse(divide(D,C)))))
% <->
% divide(divide(inverse(divide(A,B)),a2),inverse(divide(a2,inverse(divide(A,C)))))
% Current number of equations to process: 2588
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [112]
% divide(divide(A,B),divide(C,divide(divide(divide(B,A),inverse(D)),inverse(C))))
% -> D
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [113]
% divide(A,divide(inverse(divide(B,divide(C,D))),divide(V_4,B))) <->
% divide(divide(A,divide(inverse(D),V_4)),C)
% Current number of equations to process: 2774
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [114]
% divide(divide(A,divide(inverse(D),V_4)),C) <->
% divide(A,divide(inverse(divide(B,divide(C,D))),divide(V_4,B)))
% Rule
% [19]
% divide(divide(A,divide(inverse(divide(B,C)),divide(divide(D,V_4),B))),
% inverse(C)) -> divide(divide(A,a2),inverse(divide(a2,divide(V_4,D))))
% collapsed.
% Current number of equations to process: 2775
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [115]
% divide(divide(inverse(A),divide(divide(B,C),D)),divide(C,B)) <->
% divide(divide(inverse(A),divide(divide(V_4,V_5),D)),divide(V_5,V_4))
% Rule
% [96]
% divide(divide(inverse(a2),divide(divide(D,V_4),C)),divide(V_4,D)) <->
% divide(divide(inverse(a2),divide(divide(A,B),C)),divide(B,A)) collapsed.
% Current number of equations to process: 2774
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [116]
% divide(divide(A,B),divide(divide(inverse(C),D),divide(divide(divide(B,A),V_4),
% inverse(divide(V_4,D))))) -> C
% Current number of equations to process: 2874
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [117]
% divide(inverse(A),divide(B,divide(inverse(divide(B,A)),divide(C,B)))) <->
% divide(divide(inverse(C),D),divide(divide(B,V_4),inverse(divide(V_4,D))))
% Current number of equations to process: 2873
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [118]
% divide(divide(inverse(C),D),divide(divide(B,V_4),inverse(divide(V_4,D)))) <->
% divide(inverse(A),divide(B,divide(inverse(divide(B,A)),divide(C,B))))
% Current number of equations to process: 2873
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [119]
% divide(divide(inverse(divide(A,B)),divide(B,A)),divide(C,D)) <-> divide(D,C)
% Current number of equations to process: 2873
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [120]
% divide(D,C) <-> divide(divide(inverse(divide(A,B)),divide(B,A)),divide(C,D))
% Rule
% [8]
% divide(divide(A,inverse(divide(divide(inverse(B),C),D))),divide(inverse(C),D))
% <-> divide(divide(A,V_4),inverse(divide(V_4,B))) collapsed.
% Rule
% [27]
% divide(divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(
% divide(
% inverse(V_4),A),B)))),
% divide(D,C)) -> V_4 collapsed.
% Rule
% [58]
% divide(divide(inverse(divide(inverse(divide(A,B)),C)),divide(divide(D,V_4),
% inverse(divide(V_4,B)))),
% divide(A,D)) -> C collapsed.
% Current number of equations to process: 2876
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [121]
% divide(divide(A,B),divide(inverse(divide(C,D)),divide(D,C))) -> divide(A,B)
% Current number of equations to process: 2879
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [122]
% divide(divide(A,B),divide(inverse(divide(C,divide(D,V_4))),divide(divide(B,A),C)))
% -> divide(V_4,D)
% Rule
% [65]
% divide(divide(A,B),divide(inverse(divide(a2,divide(C,D))),divide(divide(B,A),a2)))
% -> divide(D,C) collapsed.
% Current number of equations to process: 2913
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [123]
% divide(inverse(divide(a2,A)),divide(divide(inverse(B),divide(divide(C,D),
% inverse(divide(
% divide(D,C),A)))),a2))
% -> B
% Current number of equations to process: 2918
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [124]
% divide(inverse(divide(A,B)),divide(divide(inverse(C),divide(divide(D,V_4),
% inverse(divide(V_4,B)))),
% divide(A,D))) -> C
% Current number of equations to process: 2917
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [125]
% divide(inverse(divide(A,B)),divide(divide(inverse(C),divide(divide(D,V_4),
% inverse(divide(divide(V_4,D),B)))),A))
% -> C
% Rule
% [123]
% divide(inverse(divide(a2,A)),divide(divide(inverse(B),divide(divide(C,D),
% inverse(divide(
% divide(D,C),A)))),a2))
% -> B collapsed.
% Current number of equations to process: 2916
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [126]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))) <->
% divide(divide(inverse(A),a2),divide(divide(C,V_4),inverse(divide(V_4,a2))))
% Rule
% [70]
% divide(divide(inverse(A),D),divide(divide(B,a2),inverse(divide(a2,D)))) <->
% divide(divide(inverse(A),a2),divide(divide(B,C),inverse(divide(C,a2))))
% collapsed.
% Rule
% [91]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))) <->
% divide(divide(inverse(A),a2),divide(divide(C,a2),inverse(divide(a2,a2))))
% collapsed.
% Current number of equations to process: 2932
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [127]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))) <->
% divide(divide(inverse(A),V_4),divide(divide(C,a2),inverse(divide(a2,V_4))))
% Rule
% [71]
% divide(divide(inverse(A),a2),divide(divide(B,C),inverse(divide(C,a2)))) <->
% divide(divide(inverse(A),D),divide(divide(B,a2),inverse(divide(a2,D))))
% collapsed.
% Rule
% [72]
% divide(divide(inverse(A),B),divide(divide(C,a2),inverse(divide(a2,B)))) <->
% divide(divide(inverse(A),D),divide(divide(C,a2),inverse(divide(a2,D))))
% collapsed.
% Current number of equations to process: 3004
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [128]
% inverse(divide(C,divide(B,divide(V_4,D)))) <->
% divide(inverse(divide(A,B)),divide(divide(C,divide(D,V_4)),A))
% Current number of equations to process: 3290
% Current number of ordered equations: 1
% Current number of rules: 63
% Rule [56]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B))))
% <->
% divide(inverse(divide(V_4,V_5)),divide(divide(C,divide(inverse(V_5),A)),V_4)) is composed into 
% [56]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))) <->
% inverse(divide(C,divide(V_5,divide(A,inverse(V_5)))))
% New rule produced :
% [129]
% divide(inverse(divide(A,B)),divide(divide(C,divide(D,V_4)),A)) <->
% inverse(divide(C,divide(B,divide(V_4,D))))
% Rule
% [55]
% divide(inverse(divide(V_4,V_5)),divide(divide(C,divide(inverse(V_5),A)),V_4))
% <-> divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B))))
% collapsed.
% Rule
% [98]
% divide(inverse(divide(A,a2)),divide(divide(divide(B,C),divide(inverse(a2),
% divide(divide(C,B),D))),A))
% -> D collapsed.
% Rule
% [125]
% divide(inverse(divide(A,B)),divide(divide(inverse(C),divide(divide(D,V_4),
% inverse(divide(divide(V_4,D),B)))),A))
% -> C collapsed.
% Current number of equations to process: 3293
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [130]
% inverse(divide(divide(B,C),divide(a2,divide(divide(divide(C,B),D),inverse(a2)))))
% -> D
% Current number of equations to process: 3292
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [131]
% inverse(divide(inverse(C),divide(B,divide(inverse(divide(divide(V_4,D),B)),
% divide(D,V_4))))) -> C
% Current number of equations to process: 3291
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [132]
% divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A))))) <->
% divide(divide(inverse(divide(a2,a2)),divide(a2,a2)),D)
% Current number of equations to process: 3289
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [133]
% divide(divide(inverse(divide(a2,a2)),divide(a2,a2)),D) <->
% divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A)))))
% Current number of equations to process: 3289
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [134]
% divide(divide(A,inverse(divide(B,divide(C,divide(D,V_4))))),inverse(C)) <->
% divide(divide(A,V_5),inverse(divide(V_5,divide(divide(V_4,D),B))))
% Current number of equations to process: 3288
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [135]
% divide(divide(A,V_5),inverse(divide(V_5,divide(divide(V_4,D),B)))) <->
% divide(divide(A,inverse(divide(B,divide(C,divide(D,V_4))))),inverse(C))
% Current number of equations to process: 3288
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [136]
% inverse(divide(V_4,C)) <->
% divide(inverse(divide(A,divide(inverse(divide(B,C)),divide(D,B)))),divide(
% divide(V_4,D),A))
% Current number of equations to process: 3286
% Current number of ordered equations: 3
% Current number of rules: 68
% New rule produced :
% [137]
% divide(inverse(divide(V_5,divide(divide(V_4,D),C))),divide(B,V_5)) <->
% divide(inverse(A),divide(B,inverse(divide(C,divide(A,divide(D,V_4))))))
% Current number of equations to process: 3286
% Current number of ordered equations: 2
% Current number of rules: 69
% New rule produced :
% [138]
% divide(inverse(A),divide(B,inverse(divide(C,divide(A,divide(D,V_4)))))) <->
% divide(inverse(divide(V_5,divide(divide(V_4,D),C))),divide(B,V_5))
% Current number of equations to process: 3286
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [139]
% divide(inverse(divide(A,divide(inverse(divide(B,C)),divide(D,B)))),divide(
% divide(V_4,D),A))
% <-> inverse(divide(V_4,C))
% Current number of equations to process: 3286
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [140]
% divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),divide(
% divide(
% divide(C,B),V_4),D))))
% -> V_4
% Current number of equations to process: 3284
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [141]
% divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),divide(divide(D,V_4),
% inverse(divide(V_4,D))))
% -> C
% Current number of equations to process: 3283
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [142]
% inverse(divide(divide(C,D),divide(B,divide(divide(divide(D,C),V_4),inverse(B)))))
% -> V_4
% Rule
% [130]
% inverse(divide(divide(B,C),divide(a2,divide(divide(divide(C,B),D),inverse(a2)))))
% -> D collapsed.
% Current number of equations to process: 3280
% Current number of ordered equations: 2
% Current number of rules: 73
% New rule produced :
% [143]
% divide(inverse(divide(A,divide(B,divide(divide(inverse(divide(a2,a2)),
% divide(a2,a2)),C)))),divide(C,A)) ->
% B
% Current number of equations to process: 3280
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [144]
% divide(inverse(divide(A,divide(B,C))),divide(divide(divide(inverse(divide(a2,a2)),
% divide(a2,a2)),C),A)) ->
% B
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [145]
% divide(inverse(A),divide(divide(divide(inverse(divide(B,C)),divide(A,B)),
% divide(D,V_4)),divide(V_4,D))) -> inverse(C)
% Current number of equations to process: 3279
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [146]
% divide(divide(inverse(divide(D,divide(A,divide(C,B)))),V_5),inverse(divide(V_5,V_4)))
% <-> divide(A,inverse(divide(divide(divide(B,C),D),V_4)))
% Current number of equations to process: 3278
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [147]
% divide(A,inverse(divide(divide(divide(B,C),D),V_4))) <->
% divide(divide(inverse(divide(D,divide(A,divide(C,B)))),V_5),inverse(divide(V_5,V_4)))
% Current number of equations to process: 3278
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [148]
% divide(inverse(divide(divide(divide(A,B),C),D)),V_4) <->
% divide(inverse(divide(V_5,D)),divide(inverse(divide(C,divide(V_4,divide(B,A)))),V_5))
% Current number of equations to process: 3277
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [149]
% divide(inverse(divide(V_5,D)),divide(inverse(divide(C,divide(V_4,divide(B,A)))),V_5))
% <-> divide(inverse(divide(divide(divide(A,B),C),D)),V_4)
% Current number of equations to process: 3277
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [150]
% divide(inverse(divide(inverse(divide(A,B)),divide(C,divide(A,D)))),divide(
% divide(D,V_4),
% inverse(
% divide(V_4,B))))
% -> C
% Current number of equations to process: 3294
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [151]
% divide(inverse(divide(inverse(divide(A,B)),divide(C,A))),divide(divide(D,V_4),
% inverse(divide(
% divide(V_4,D),B))))
% -> C
% Current number of equations to process: 3293
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [152]
% divide(A,inverse(divide(divide(divide(inverse(A),divide(divide(B,C),D)),
% divide(C,B)),V_4))) <->
% divide(divide(D,V_5),inverse(divide(V_5,V_4)))
% Current number of equations to process: 3292
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [153]
% divide(divide(A,B),divide(inverse(divide(a2,C)),divide(divide(B,A),a2))) <->
% divide(divide(D,V_4),divide(inverse(divide(V_5,C)),divide(divide(V_4,D),V_5)))
% Current number of equations to process: 3291
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [154]
% divide(divide(D,V_4),divide(inverse(divide(V_5,C)),divide(divide(V_4,D),V_5)))
% <-> divide(divide(A,B),divide(inverse(divide(a2,C)),divide(divide(B,A),a2)))
% Current number of equations to process: 3291
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [155]
% divide(divide(V_4,V_5),divide(inverse(divide(V_6,D)),divide(divide(V_5,V_4),V_6)))
% <-> divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A)))))
% Current number of equations to process: 3290
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [156]
% divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A))))) <->
% divide(divide(V_4,V_5),divide(inverse(divide(V_6,D)),divide(divide(V_5,V_4),V_6)))
% Current number of equations to process: 3290
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [157]
% divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A))))) <->
% divide(divide(divide(V_4,V_5),V_6),inverse(divide(V_6,divide(D,divide(V_5,V_4)))))
% Current number of equations to process: 3289
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [158]
% inverse(divide(inverse(divide(C,B)),divide(D,divide(C,inverse(D))))) <->
% inverse(divide(inverse(divide(A,B)),divide(a2,divide(A,inverse(a2)))))
% Current number of equations to process: 3515
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [159]
% inverse(divide(inverse(divide(A,B)),divide(a2,divide(A,inverse(a2))))) <->
% inverse(divide(inverse(divide(C,B)),divide(D,divide(C,inverse(D)))))
% Current number of equations to process: 3515
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [160]
% divide(divide(inverse(divide(A,B)),C),inverse(divide(C,inverse(divide(A,D)))))
% <->
% divide(divide(inverse(divide(V_4,B)),V_5),inverse(divide(V_5,inverse(
% divide(V_4,D)))))
% Rule
% [110]
% divide(divide(inverse(divide(A,B)),a2),inverse(divide(a2,inverse(divide(A,C)))))
% <->
% divide(divide(inverse(divide(D,B)),V_4),inverse(divide(V_4,inverse(divide(D,C)))))
% collapsed.
% Rule
% [111]
% divide(divide(inverse(divide(D,B)),V_4),inverse(divide(V_4,inverse(divide(D,C)))))
% <->
% divide(divide(inverse(divide(A,B)),a2),inverse(divide(a2,inverse(divide(A,C)))))
% collapsed.
% Current number of equations to process: 3598
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [161]
% divide(inverse(divide(V_4,inverse(divide(V_5,C)))),divide(inverse(divide(V_5,D)),V_4))
% <->
% divide(inverse(divide(A,inverse(divide(B,C)))),divide(inverse(divide(B,D)),A))
% Current number of equations to process: 4404
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [162]
% divide(inverse(divide(A,divide(B,divide(C,inverse(B))))),divide(divide(
% inverse(D),C),A))
% -> D
% Current number of equations to process: 4455
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [163]
% divide(divide(divide(A,B),C),inverse(divide(C,divide(D,B)))) <->
% divide(divide(divide(A,V_4),V_5),inverse(divide(V_5,divide(D,V_4))))
% Current number of equations to process: 3132
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [164]
% divide(inverse(divide(V_4,divide(B,V_5))),divide(divide(D,V_5),V_4)) <->
% divide(inverse(divide(A,divide(B,C))),divide(divide(D,C),A))
% Current number of equations to process: 3687
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [165]
% divide(divide(A,B),divide(C,divide(divide(divide(B,D),inverse(divide(D,V_4))),
% inverse(C)))) -> divide(A,V_4)
% Current number of equations to process: 3873
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [166]
% divide(A,divide(divide(V_5,V_4),divide(C,B))) <->
% divide(divide(A,divide(B,C)),divide(D,divide(divide(V_4,V_5),inverse(D))))
% Current number of equations to process: 3872
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [167]
% divide(divide(A,divide(B,C)),divide(D,divide(divide(V_4,V_5),inverse(D))))
% <-> divide(A,divide(divide(V_5,V_4),divide(C,B)))
% Current number of equations to process: 3872
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [168]
% divide(A,divide(B,divide(inverse(C),D))) <->
% divide(divide(inverse(divide(V_4,divide(A,C))),divide(D,V_4)),B)
% Current number of equations to process: 3880
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [169]
% divide(divide(inverse(divide(V_4,divide(A,C))),divide(D,V_4)),B) <->
% divide(A,divide(B,divide(inverse(C),D)))
% Current number of equations to process: 3880
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [170]
% divide(divide(A,B),inverse(divide(divide(B,A),divide(C,divide(D,inverse(C))))))
% -> D
% Current number of equations to process: 3886
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [171]
% divide(divide(A,divide(inverse(divide(C,D)),divide(D,C))),B) -> divide(A,B)
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [172]
% inverse(divide(A,divide(B,divide(divide(C,D),inverse(B))))) <->
% divide(inverse(divide(V_4,divide(D,C))),divide(A,V_4))
% Current number of equations to process: 3967
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [173]
% divide(inverse(divide(V_4,divide(D,C))),divide(A,V_4)) <->
% inverse(divide(A,divide(B,divide(divide(C,D),inverse(B)))))
% Current number of equations to process: 3967
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [174]
% inverse(divide(V_4,divide(D,B))) <->
% divide(inverse(divide(divide(A,divide(inverse(B),C)),D)),divide(divide(V_4,C),A))
% Current number of equations to process: 3972
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [175]
% divide(inverse(divide(divide(A,divide(inverse(B),C)),D)),divide(divide(V_4,C),A))
% <-> inverse(divide(V_4,divide(D,B)))
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [176]
% divide(inverse(divide(V_4,divide(B,D))),divide(C,V_4)) <->
% divide(inverse(divide(inverse(A),divide(B,A))),divide(C,inverse(D)))
% Current number of equations to process: 4063
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [177]
% divide(inverse(divide(inverse(A),divide(B,A))),divide(C,inverse(D))) <->
% divide(inverse(divide(V_4,divide(B,D))),divide(C,V_4))
% Current number of equations to process: 4063
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [178]
% divide(inverse(divide(divide(A,B),divide(C,divide(divide(D,V_4),inverse(C))))),
% divide(B,A)) -> divide(V_4,D)
% Current number of equations to process: 4062
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [179]
% divide(divide(inverse(divide(A,B)),divide(C,A)),divide(divide(inverse(
% divide(a2,a2)),
% divide(a2,a2)),C)) ->
% B
% Current number of equations to process: 4241
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [180]
% divide(A,divide(divide(inverse(B),divide(C,A)),divide(divide(inverse(
% divide(a2,a2)),
% divide(a2,a2)),C))) ->
% B
% Current number of equations to process: 4240
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [181]
% divide(inverse(divide(A,B)),divide(inverse(divide(C,divide(D,V_4))),A)) <->
% divide(divide(inverse(divide(divide(V_5,C),B)),divide(inverse(V_4),V_5)),D)
% Current number of equations to process: 4239
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [182]
% divide(divide(inverse(divide(divide(V_5,C),B)),divide(inverse(V_4),V_5)),D)
% <-> divide(inverse(divide(A,B)),divide(inverse(divide(C,divide(D,V_4))),A))
% Current number of equations to process: 4239
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [183]
% divide(divide(A,B),divide(inverse(C),divide(divide(B,A),D))) <->
% divide(divide(V_4,V_5),divide(inverse(C),divide(divide(V_5,V_4),D)))
% Rule
% [97]
% divide(divide(A,B),divide(inverse(a2),divide(divide(B,A),C))) <->
% divide(divide(D,V_4),divide(inverse(a2),divide(divide(V_4,D),C))) collapsed.
% Current number of equations to process: 4242
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [184]
% divide(A,divide(divide(divide(B,C),inverse(D)),inverse(A))) <->
% divide(divide(inverse(D),divide(divide(V_4,V_5),divide(C,B))),divide(V_5,V_4))
% Current number of equations to process: 4407
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [185]
% divide(divide(inverse(D),divide(divide(V_4,V_5),divide(C,B))),divide(V_5,V_4))
% <-> divide(A,divide(divide(divide(B,C),inverse(D)),inverse(A)))
% Current number of equations to process: 4407
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [186]
% divide(A,divide(B,divide(divide(divide(divide(inverse(divide(a2,a2)),
% divide(a2,a2)),A),inverse(C)),
% inverse(B)))) -> C
% Current number of equations to process: 4437
% Current number of ordered equations: 2
% Current number of rules: 114
% New rule produced :
% [187]
% divide(divide(A,divide(divide(divide(B,C),inverse(D)),inverse(A))),divide(
% divide(
% inverse(V_4),D),
% divide(B,C)))
% -> V_4
% Current number of equations to process: 4437
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [188]
% divide(divide(divide(inverse(divide(A,B)),divide(B,A)),A),divide(C,divide(
% divide(A,
% inverse(D)),
% inverse(C))))
% -> D
% Current number of equations to process: 4437
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [189]
% divide(divide(divide(inverse(divide(a2,a2)),divide(a2,a2)),A),divide(B,
% divide(
% divide(A,
% inverse(C)),
% inverse(B))))
% -> C
% Current number of equations to process: 4435
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [190]
% divide(inverse(divide(V_4,B)),divide(inverse(divide(V_5,divide(D,C))),
% divide(V_4,V_5))) <->
% divide(divide(inverse(divide(A,B)),divide(inverse(C),A)),D)
% Current number of equations to process: 4434
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [191]
% divide(divide(inverse(divide(A,B)),divide(inverse(C),A)),D) <->
% divide(inverse(divide(V_4,B)),divide(inverse(divide(V_5,divide(D,C))),
% divide(V_4,V_5)))
% Current number of equations to process: 4434
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [192]
% inverse(divide(divide(divide(divide(A,B),C),inverse(divide(C,D))),divide(V_4,
% divide(D,
% inverse(V_4)))))
% -> divide(B,A)
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [193]
% divide(inverse(A),divide(B,divide(inverse(divide(C,A)),divide(D,C)))) <->
% divide(divide(inverse(D),V_4),divide(divide(B,V_5),inverse(divide(V_5,V_4))))
% Rule
% [117]
% divide(inverse(A),divide(B,divide(inverse(divide(B,A)),divide(C,B)))) <->
% divide(divide(inverse(C),D),divide(divide(B,V_4),inverse(divide(V_4,D))))
% collapsed.
% Current number of equations to process: 4550
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [194]
% inverse(divide(A,divide(B,divide(C,inverse(B))))) <->
% divide(inverse(D),divide(A,divide(inverse(divide(A,D)),divide(C,A))))
% Current number of equations to process: 4607
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [195]
% divide(inverse(D),divide(A,divide(inverse(divide(A,D)),divide(C,A)))) <->
% inverse(divide(A,divide(B,divide(C,inverse(B)))))
% Current number of equations to process: 4607
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [196]
% divide(A,inverse(divide(D,C))) <->
% divide(divide(A,B),inverse(divide(B,divide(C,D))))
% Current number of equations to process: 4694
% Current number of ordered equations: 1
% Current number of rules: 123
% Rule [155]
% divide(divide(V_4,V_5),divide(inverse(divide(V_6,D)),divide(divide(V_5,V_4),V_6)))
% <->
% divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A))))) is composed into 
% [155]
% divide(divide(V_4,V_5),divide(inverse(divide(V_6,D)),divide(divide(V_5,V_4),V_6)))
% <-> divide(divide(A,B),inverse(divide(divide(B,A),D)))
% Rule [133]
% divide(divide(inverse(divide(a2,a2)),divide(a2,a2)),D) <->
% divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A))))) is composed into 
% [133]
% divide(divide(inverse(divide(a2,a2)),divide(a2,a2)),D) <->
% divide(divide(A,B),inverse(divide(divide(B,A),D)))
% New rule produced :
% [197]
% divide(divide(A,B),inverse(divide(B,divide(C,D)))) <->
% divide(A,inverse(divide(D,C)))
% Rule
% [74]
% divide(divide(divide(A,B),C),inverse(divide(C,divide(divide(D,V_4),divide(B,A)))))
% -> divide(V_4,D) collapsed.
% Rule
% [132]
% divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A))))) <->
% divide(divide(inverse(divide(a2,a2)),divide(a2,a2)),D) collapsed.
% Rule
% [156]
% divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A))))) <->
% divide(divide(V_4,V_5),divide(inverse(divide(V_6,D)),divide(divide(V_5,V_4),V_6)))
% collapsed.
% Rule
% [157]
% divide(divide(divide(A,B),C),inverse(divide(C,divide(D,divide(B,A))))) <->
% divide(divide(divide(V_4,V_5),V_6),inverse(divide(V_6,divide(D,divide(V_5,V_4)))))
% collapsed.
% Rule
% [163]
% divide(divide(divide(A,B),C),inverse(divide(C,divide(D,B)))) <->
% divide(divide(divide(A,V_4),V_5),inverse(divide(V_5,divide(D,V_4))))
% collapsed.
% Current number of equations to process: 4698
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [198]
% divide(divide(A,B),inverse(divide(divide(B,A),divide(D,V_4)))) <->
% divide(V_4,D)
% Current number of equations to process: 4697
% Current number of ordered equations: 1
% Current number of rules: 120
% Rule [184]
% divide(A,divide(divide(divide(B,C),inverse(D)),inverse(A))) <->
% divide(divide(inverse(D),divide(divide(V_4,V_5),divide(C,B))),divide(V_5,V_4)) is composed into 
% [184]
% divide(A,divide(divide(divide(B,C),inverse(D)),inverse(A))) <->
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),divide(divide(V_5,V_4),
% divide(inverse(D),divide(
% divide(V_4,V_5),
% divide(C,B)))))))
% Rule [21]
% divide(inverse(divide(V_5,divide(C,V_4))),divide(D,V_5)) <->
% divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),divide(D,
% inverse(V_4))) is composed into 
% [21]
% divide(inverse(divide(V_5,divide(C,V_4))),divide(D,V_5)) <->
% divide(divide(divide(A,B),inverse(divide(divide(B,A),divide(divide(B,A),
% inverse(divide(divide(A,B),C)))))),
% divide(D,inverse(V_4)))
% Rule [14]
% divide(divide(A,V_5),inverse(divide(V_5,divide(V_4,B)))) <->
% divide(divide(A,inverse(B)),divide(inverse(divide(divide(C,D),V_4)),
% divide(D,C))) is composed into [14]
% divide(
% divide(A,V_5),
% inverse(
% divide(V_5,
% divide(V_4,B))))
% <->
% divide(
% divide(A,
% inverse(B)),
% divide(
% divide(a2,a2),
% inverse(
% divide(
% divide(a2,a2),
% divide(
% divide(D,C),
% inverse(
% divide(
% divide(C,D),V_4)))))))
% New rule produced :
% [199]
% divide(V_4,D) <->
% divide(divide(A,B),inverse(divide(divide(B,A),divide(D,V_4))))
% Rule
% [2]
% divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) -> B
% collapsed.
% Rule
% [4]
% divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),
% divide(divide(V_4,V_5),D)))),
% divide(C,B)) -> divide(V_5,V_4) collapsed.
% Rule
% [13]
% divide(divide(A,inverse(B)),divide(inverse(divide(divide(C,D),V_4)),divide(D,C)))
% <-> divide(divide(A,V_5),inverse(divide(V_5,divide(V_4,B)))) collapsed.
% Rule
% [22]
% divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),divide(D,inverse(V_4)))
% <-> divide(inverse(divide(V_5,divide(C,V_4))),divide(D,V_5)) collapsed.
% Rule
% [30]
% divide(divide(divide(inverse(divide(V_4,A)),a2),inverse(divide(a2,B))),
% inverse(divide(inverse(divide(divide(divide(C,B),V_4),B)),D))) ->
% divide(A,inverse(divide(divide(B,C),D))) collapsed.
% Rule
% [64]
% divide(A,divide(divide(inverse(B),divide(divide(C,D),A)),divide(D,C))) -> B
% collapsed.
% Rule
% [115]
% divide(divide(inverse(A),divide(divide(B,C),D)),divide(C,B)) <->
% divide(divide(inverse(A),divide(divide(V_4,V_5),D)),divide(V_5,V_4))
% collapsed.
% Rule
% [131]
% inverse(divide(inverse(C),divide(B,divide(inverse(divide(divide(V_4,D),B)),
% divide(D,V_4))))) -> C collapsed.
% Rule
% [133]
% divide(divide(inverse(divide(a2,a2)),divide(a2,a2)),D) <->
% divide(divide(A,B),inverse(divide(divide(B,A),D))) collapsed.
% Rule
% [141]
% divide(divide(inverse(divide(divide(A,B),C)),divide(B,A)),divide(divide(D,V_4),
% inverse(divide(V_4,D))))
% -> C collapsed.
% Rule
% [143]
% divide(inverse(divide(A,divide(B,divide(divide(inverse(divide(a2,a2)),
% divide(a2,a2)),C)))),divide(C,A)) ->
% B collapsed.
% Rule
% [144]
% divide(inverse(divide(A,divide(B,C))),divide(divide(divide(inverse(divide(a2,a2)),
% divide(a2,a2)),C),A)) ->
% B collapsed.
% Rule
% [152]
% divide(A,inverse(divide(divide(divide(inverse(A),divide(divide(B,C),D)),
% divide(C,B)),V_4))) <->
% divide(divide(D,V_5),inverse(divide(V_5,V_4))) collapsed.
% Rule
% [178]
% divide(inverse(divide(divide(A,B),divide(C,divide(divide(D,V_4),inverse(C))))),
% divide(B,A)) -> divide(V_4,D) collapsed.
% Rule
% [179]
% divide(divide(inverse(divide(A,B)),divide(C,A)),divide(divide(inverse(
% divide(a2,a2)),
% divide(a2,a2)),C)) ->
% B collapsed.
% Rule
% [180]
% divide(A,divide(divide(inverse(B),divide(C,A)),divide(divide(inverse(
% divide(a2,a2)),
% divide(a2,a2)),C))) ->
% B collapsed.
% Rule
% [185]
% divide(divide(inverse(D),divide(divide(V_4,V_5),divide(C,B))),divide(V_5,V_4))
% <-> divide(A,divide(divide(divide(B,C),inverse(D)),inverse(A))) collapsed.
% Rule
% [186]
% divide(A,divide(B,divide(divide(divide(divide(inverse(divide(a2,a2)),
% divide(a2,a2)),A),inverse(C)),
% inverse(B)))) -> C collapsed.
% Rule
% [188]
% divide(divide(divide(inverse(divide(A,B)),divide(B,A)),A),divide(C,divide(
% divide(A,
% inverse(D)),
% inverse(C))))
% -> D collapsed.
% Rule
% [189]
% divide(divide(divide(inverse(divide(a2,a2)),divide(a2,a2)),A),divide(B,
% divide(
% divide(A,
% inverse(C)),
% inverse(B))))
% -> C collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),divide(inverse(a2),
% divide(inverse(b2),
% inverse(b2)))))) = a2
% 
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [200]
% divide(divide(A,B),inverse(divide(divide(B,A),divide(divide(D,C),divide(
% inverse(
% divide(A,B)),
% divide(
% divide(C,D),A))))))
% -> B
% Current number of equations to process: 4712
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [201]
% divide(divide(A,B),inverse(divide(divide(B,A),D))) <->
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),D)))
% Current number of equations to process: 4711
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [202]
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),D))) <->
% divide(divide(A,B),inverse(divide(divide(B,A),D)))
% Current number of equations to process: 4711
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [203]
% divide(divide(A,B),inverse(divide(divide(B,A),D))) <->
% divide(divide(V_4,V_5),inverse(divide(divide(V_5,V_4),D)))
% Rule
% [201]
% divide(divide(A,B),inverse(divide(divide(B,A),D))) <->
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),D))) collapsed.
% Rule
% [202]
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),D))) <->
% divide(divide(A,B),inverse(divide(divide(B,A),D))) collapsed.
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 103
% Rule [120]
% divide(D,C) <->
% divide(divide(inverse(divide(A,B)),divide(B,A)),divide(C,D)) is composed into 
% [120]
% divide(D,C) <->
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),divide(C,D))))
% New rule produced :
% [204]
% divide(divide(inverse(divide(A,B)),divide(B,A)),C) ->
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),C)))
% Rule
% [119]
% divide(divide(inverse(divide(A,B)),divide(B,A)),divide(C,D)) <-> divide(D,C)
% collapsed.
% Current number of equations to process: 4712
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [205] divide(A,divide(inverse(divide(B,C)),divide(C,B))) -> A
% Rule
% [121]
% divide(divide(A,B),divide(inverse(divide(C,D)),divide(D,C))) -> divide(A,B)
% collapsed.
% Rule
% [171]
% divide(divide(A,divide(inverse(divide(C,D)),divide(D,C))),B) -> divide(A,B)
% collapsed.
% Current number of equations to process: 4918
% Current number of ordered equations: 0
% Current number of rules: 102
% Rule [14]
% divide(divide(A,V_5),inverse(divide(V_5,divide(V_4,B)))) <->
% divide(divide(A,inverse(B)),divide(divide(a2,a2),inverse(divide(
% divide(a2,a2),
% divide(
% divide(D,C),
% inverse(
% divide(
% divide(C,D),V_4))))))) is composed into 
% [14]
% divide(divide(A,V_5),inverse(divide(V_5,divide(V_4,B)))) <->
% divide(A,inverse(divide(B,V_4)))
% New rule produced :
% [206]
% divide(divide(A,inverse(B)),divide(divide(a2,a2),inverse(divide(divide(a2,a2),
% divide(divide(V_4,D),
% inverse(divide(
% divide(D,V_4),C)))))))
% -> divide(A,inverse(divide(B,C)))
% Current number of equations to process: 4917
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [207]
% divide(inverse(divide(A,B)),C) <->
% divide(inverse(divide(D,divide(B,A))),divide(C,D))
% Current number of equations to process: 4948
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [208]
% divide(inverse(divide(D,divide(B,A))),divide(C,D)) <->
% divide(inverse(divide(A,B)),C)
% Current number of equations to process: 4948
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [209]
% inverse(divide(C,divide(B,A))) <->
% divide(inverse(divide(A,B)),divide(divide(C,divide(D,V_4)),divide(V_4,D)))
% Current number of equations to process: 4977
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [210]
% divide(inverse(divide(A,B)),divide(divide(C,divide(D,V_4)),divide(V_4,D)))
% <-> inverse(divide(C,divide(B,A)))
% Current number of equations to process: 4977
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [211]
% divide(inverse(divide(A,B)),divide(divide(divide(C,D),V_4),inverse(divide(V_4,
% divide(A,B)))))
% -> divide(D,C)
% Current number of equations to process: 4976
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [212]
% divide(inverse(divide(A,B)),divide(B,A)) <->
% divide(inverse(divide(C,divide(D,V_4))),divide(divide(D,V_4),C))
% Current number of equations to process: 4980
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [213]
% divide(inverse(divide(C,divide(D,V_4))),divide(divide(D,V_4),C)) <->
% divide(inverse(divide(A,B)),divide(B,A))
% Current number of equations to process: 4980
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [214]
% divide(divide(divide(A,B),divide(inverse(C),divide(B,A))),D) -> divide(C,D)
% Current number of equations to process: 2976
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [215]
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),divide(divide(a2,a2),
% inverse(divide(divide(a2,a2),A))))))
% -> A
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [216]
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),divide(divide(B,C),
% inverse(divide(divide(C,B),A))))))
% -> A
% Rule
% [206]
% divide(divide(A,inverse(B)),divide(divide(a2,a2),inverse(divide(divide(a2,a2),
% divide(divide(V_4,D),
% inverse(divide(
% divide(D,V_4),C)))))))
% -> divide(A,inverse(divide(B,C))) collapsed.
% Rule
% [215]
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),divide(divide(a2,a2),
% inverse(divide(divide(a2,a2),A))))))
% -> A collapsed.
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 111
% Rule [135]
% divide(divide(A,V_5),inverse(divide(V_5,divide(divide(V_4,D),B)))) <->
% divide(divide(A,inverse(divide(B,divide(C,divide(D,V_4))))),inverse(C)) is composed into 
% [135]
% divide(divide(A,V_5),inverse(divide(V_5,divide(divide(V_4,D),B)))) <->
% divide(A,inverse(divide(divide(B,divide(C,divide(D,V_4))),inverse(C))))
% Rule [102]
% divide(divide(A,V_5),inverse(divide(V_5,divide(V_4,B)))) <->
% divide(divide(A,inverse(divide(B,C))),inverse(divide(inverse(divide(D,C)),
% divide(V_4,D)))) is composed into 
% [102]
% divide(divide(A,V_5),inverse(divide(V_5,divide(V_4,B)))) <->
% divide(A,inverse(divide(divide(B,C),inverse(divide(inverse(divide(D,C)),
% divide(V_4,D))))))
% Rule [62]
% divide(divide(divide(A,D),V_5),inverse(divide(V_5,V_4))) <->
% divide(divide(divide(A,B),inverse(divide(B,C))),inverse(divide(inverse(
% divide(D,C)),V_4))) is composed into 
% [62]
% divide(divide(divide(A,D),V_5),inverse(divide(V_5,V_4))) <->
% divide(divide(A,B),inverse(divide(divide(B,C),inverse(divide(inverse(
% divide(D,C)),V_4)))))
% Rule [21]
% divide(inverse(divide(V_5,divide(C,V_4))),divide(D,V_5)) <->
% divide(divide(divide(A,B),inverse(divide(divide(B,A),divide(divide(B,A),
% inverse(divide(
% divide(A,B),C)))))),
% divide(D,inverse(V_4))) is composed into [21]
% divide(inverse(divide(V_5,
% divide(C,V_4))),
% divide(D,V_5)) <->
% divide(divide(A,B),inverse(
% divide(
% divide(
% divide(B,A),
% divide(
% divide(B,A),
% inverse(
% divide(
% divide(A,B),C)))),
% divide(D,
% inverse(V_4)))))
% New rule produced :
% [217] divide(divide(A,inverse(B)),C) -> divide(A,inverse(divide(B,C)))
% Rule
% [63]
% divide(divide(divide(A,B),inverse(divide(B,C))),inverse(divide(inverse(
% divide(D,C)),V_4)))
% <-> divide(divide(divide(A,D),V_5),inverse(divide(V_5,V_4))) collapsed.
% Rule
% [73]
% divide(divide(divide(A,B),inverse(divide(B,C))),divide(inverse(D),C)) <->
% divide(divide(divide(A,a2),inverse(divide(a2,V_4))),divide(inverse(D),V_4))
% collapsed.
% Rule
% [93]
% divide(divide(divide(A,D),inverse(divide(D,V_4))),divide(inverse(C),V_4)) <->
% divide(divide(divide(A,B),inverse(divide(B,a2))),divide(inverse(C),a2))
% collapsed.
% Rule
% [94]
% divide(divide(divide(A,B),inverse(divide(B,a2))),divide(inverse(C),a2)) <->
% divide(divide(divide(A,D),inverse(divide(D,V_4))),divide(inverse(C),V_4))
% collapsed.
% Rule
% [103]
% divide(divide(A,inverse(divide(B,C))),inverse(divide(inverse(divide(D,C)),
% divide(V_4,D)))) <->
% divide(divide(A,V_5),inverse(divide(V_5,divide(V_4,B)))) collapsed.
% Rule
% [112]
% divide(divide(A,B),divide(C,divide(divide(divide(B,A),inverse(D)),inverse(C))))
% -> D collapsed.
% Rule
% [134]
% divide(divide(A,inverse(divide(B,divide(C,divide(D,V_4))))),inverse(C)) <->
% divide(divide(A,V_5),inverse(divide(V_5,divide(divide(V_4,D),B)))) collapsed.
% Rule
% [165]
% divide(divide(A,B),divide(C,divide(divide(divide(B,D),inverse(divide(D,V_4))),
% inverse(C)))) -> divide(A,V_4) collapsed.
% Rule
% [184]
% divide(A,divide(divide(divide(B,C),inverse(D)),inverse(A))) <->
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),divide(divide(V_5,V_4),
% divide(inverse(D),divide(
% divide(V_4,V_5),
% divide(C,B)))))))
% collapsed.
% Rule
% [187]
% divide(divide(A,divide(divide(divide(B,C),inverse(D)),inverse(A))),divide(
% divide(
% inverse(V_4),D),
% divide(B,C)))
% -> V_4 collapsed.
% Rule
% [192]
% inverse(divide(divide(divide(divide(A,B),C),inverse(divide(C,D))),divide(V_4,
% divide(D,
% inverse(V_4)))))
% -> divide(B,A) collapsed.
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [218]
% divide(divide(A,B),divide(C,divide(divide(B,A),inverse(divide(D,inverse(C))))))
% -> D
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [219]
% divide(divide(A,B),divide(C,divide(divide(B,D),inverse(divide(divide(D,V_4),
% inverse(C)))))) ->
% divide(A,V_4)
% Current number of equations to process: 2998
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [220]
% divide(divide(A,B),inverse(divide(divide(B,C),divide(inverse(D),C)))) <->
% divide(divide(A,a2),inverse(divide(divide(a2,V_4),divide(inverse(D),V_4))))
% Current number of equations to process: 2996
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [221]
% divide(divide(A,a2),inverse(divide(divide(a2,V_4),divide(inverse(D),V_4))))
% <-> divide(divide(A,B),inverse(divide(divide(B,C),divide(inverse(D),C))))
% Current number of equations to process: 2996
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [222]
% divide(divide(A,B),inverse(divide(divide(B,a2),divide(inverse(C),a2)))) <->
% divide(divide(A,D),inverse(divide(divide(D,V_4),divide(inverse(C),V_4))))
% Current number of equations to process: 2995
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [223]
% divide(divide(A,D),inverse(divide(divide(D,V_4),divide(inverse(C),V_4)))) <->
% divide(divide(A,B),inverse(divide(divide(B,a2),divide(inverse(C),a2))))
% Current number of equations to process: 2995
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [224]
% inverse(divide(divide(divide(A,B),C),inverse(divide(divide(C,D),divide(V_4,
% divide(D,
% inverse(V_4)))))))
% -> divide(B,A)
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [225]
% divide(inverse(divide(D,C)),divide(divide(a2,a2),inverse(divide(divide(a2,a2),D))))
% -> C
% Current number of equations to process: 2989
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [226]
% divide(inverse(divide(A,B)),divide(C,divide(A,B))) <->
% divide(inverse(D),divide(C,D))
% Current number of equations to process: 2988
% Current number of ordered equations: 2
% Current number of rules: 110
% New rule produced :
% [227] divide(inverse(a2),divide(C,a2)) <-> divide(inverse(D),divide(C,D))
% Current number of equations to process: 2987
% Current number of ordered equations: 3
% Current number of rules: 111
% New rule produced :
% [228] divide(inverse(D),divide(C,D)) <-> divide(inverse(a2),divide(C,a2))
% Rule
% [226]
% divide(inverse(divide(A,B)),divide(C,divide(A,B))) <->
% divide(inverse(D),divide(C,D)) collapsed.
% Current number of equations to process: 2987
% Current number of ordered equations: 2
% Current number of rules: 111
% New rule produced :
% [229]
% divide(inverse(divide(D,A)),divide(divide(B,C),D)) <->
% divide(inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),A)))),
% divide(B,C))
% Current number of equations to process: 2987
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [230]
% divide(inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),A)))),
% divide(B,C)) <-> divide(inverse(divide(D,A)),divide(divide(B,C),D))
% Current number of equations to process: 2987
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [231]
% divide(divide(A,B),inverse(divide(B,divide(C,D)))) <->
% divide(A,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),divide(C,D))))))
% Rule
% [211]
% divide(inverse(divide(A,B)),divide(divide(divide(C,D),V_4),inverse(divide(V_4,
% divide(A,B)))))
% -> divide(D,C) collapsed.
% Current number of equations to process: 2986
% Current number of ordered equations: 3
% Current number of rules: 113
% New rule produced :
% [232]
% divide(A,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),divide(C,D))))))
% <-> divide(divide(A,B),inverse(divide(B,divide(C,D))))
% Current number of equations to process: 2986
% Current number of ordered equations: 2
% Current number of rules: 114
% New rule produced :
% [233]
% divide(A,inverse(divide(divide(C,B),inverse(divide(divide(B,C),inverse(
% divide(
% inverse(
% divide(B,C)),
% divide(V_4,D))))))))
% <-> divide(divide(A,divide(B,C)),inverse(divide(D,V_4)))
% Current number of equations to process: 2986
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [234]
% divide(divide(A,divide(B,C)),inverse(divide(D,V_4))) <->
% divide(A,inverse(divide(divide(C,B),inverse(divide(divide(B,C),inverse(
% divide(
% inverse(
% divide(B,C)),
% divide(V_4,D))))))))
% Current number of equations to process: 2986
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [235]
% divide(divide(A,divide(divide(B,C),inverse(divide(D,inverse(A))))),divide(
% divide(
% inverse(V_4),D),
% divide(B,C)))
% -> V_4
% Current number of equations to process: 3045
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [236]
% divide(divide(inverse(A),divide(B,divide(inverse(divide(B,A)),divide(C,B)))),
% divide(divide(inverse(D),C),B)) -> D
% Current number of equations to process: 3044
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [237]
% divide(divide(inverse(divide(A,B)),C),inverse(divide(C,D))) <->
% divide(divide(inverse(divide(V_4,divide(B,A))),divide(V_5,V_4)),inverse(
% divide(V_5,D)))
% Current number of equations to process: 3043
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [238]
% divide(divide(inverse(divide(V_4,divide(B,A))),divide(V_5,V_4)),inverse(
% divide(V_5,D)))
% <-> divide(divide(inverse(divide(A,B)),C),inverse(divide(C,D)))
% Current number of equations to process: 3043
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [239]
% divide(divide(A,B),inverse(divide(divide(B,A),divide(inverse(C),divide(
% divide(D,V_4),
% inverse(
% divide(V_4,C)))))))
% -> D
% Current number of equations to process: 3042
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [240]
% divide(inverse(divide(A,divide(B,C))),divide(divide(inverse(D),divide(V_4,
% inverse(
% divide(C,B)))),
% divide(A,V_4))) -> D
% Current number of equations to process: 3041
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [241]
% divide(divide(inverse(A),divide(B,C)),divide(D,inverse(divide(C,B)))) <->
% divide(divide(inverse(A),a2),divide(divide(D,V_4),inverse(divide(V_4,a2))))
% Current number of equations to process: 3154
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [242]
% divide(divide(inverse(A),a2),divide(divide(D,V_4),inverse(divide(V_4,a2))))
% <-> divide(divide(inverse(A),divide(B,C)),divide(D,inverse(divide(C,B))))
% Current number of equations to process: 3154
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [243]
% divide(divide(inverse(A),divide(B,C)),divide(D,inverse(divide(C,B)))) <->
% divide(divide(inverse(A),V_4),divide(divide(D,a2),inverse(divide(a2,V_4))))
% Current number of equations to process: 3256
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [244]
% divide(divide(inverse(A),V_4),divide(divide(D,a2),inverse(divide(a2,V_4))))
% <-> divide(divide(inverse(A),divide(B,C)),divide(D,inverse(divide(C,B))))
% Current number of equations to process: 3256
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [245]
% inverse(divide(inverse(divide(A,B)),divide(C,A))) <->
% divide(inverse(divide(D,C)),divide(B,D))
% Current number of equations to process: 3335
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [246]
% divide(inverse(divide(D,C)),divide(B,D)) <->
% inverse(divide(inverse(divide(A,B)),divide(C,A)))
% Current number of equations to process: 3335
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [247]
% inverse(divide(inverse(divide(V_4,D)),divide(C,divide(V_4,divide(B,A))))) <->
% divide(inverse(divide(divide(A,B),C)),D)
% Current number of equations to process: 3577
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [248]
% divide(inverse(divide(divide(A,B),C)),D) <->
% inverse(divide(inverse(divide(V_4,D)),divide(C,divide(V_4,divide(B,A)))))
% Current number of equations to process: 3577
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [249]
% divide(A,inverse(divide(B,divide(divide(C,D),divide(V_4,V_5))))) <->
% divide(divide(A,divide(inverse(D),divide(B,divide(V_5,V_4)))),C)
% Current number of equations to process: 3641
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [250]
% divide(divide(A,divide(inverse(D),divide(B,divide(V_5,V_4)))),C) <->
% divide(A,inverse(divide(B,divide(divide(C,D),divide(V_4,V_5)))))
% Current number of equations to process: 3641
% Current number of ordered equations: 0
% Current number of rules: 132
% Rule [135]
% divide(divide(A,V_5),inverse(divide(V_5,divide(divide(V_4,D),B)))) <->
% divide(A,inverse(divide(divide(B,divide(C,divide(D,V_4))),inverse(C)))) is composed into 
% [135]
% divide(divide(A,V_5),inverse(divide(V_5,divide(divide(V_4,D),B)))) <->
% divide(A,inverse(divide(B,divide(V_4,D))))
% New rule produced :
% [251]
% divide(A,inverse(divide(divide(B,divide(V_4,divide(D,C))),inverse(V_4)))) ->
% divide(A,inverse(divide(B,divide(C,D))))
% Current number of equations to process: 3695
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [252]
% divide(A,B) <->
% divide(inverse(C),divide(divide(D,V_4),inverse(divide(divide(V_4,D),divide(C,
% divide(B,A))))))
% Current number of equations to process: 4012
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [253]
% divide(inverse(C),divide(divide(D,V_4),inverse(divide(divide(V_4,D),divide(C,
% divide(B,A))))))
% <-> divide(A,B)
% Current number of equations to process: 4012
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [254]
% divide(inverse(A),divide(B,inverse(divide(C,divide(A,divide(D,V_4)))))) <->
% divide(inverse(V_5),divide(B,inverse(divide(C,divide(V_5,divide(D,V_4))))))
% Current number of equations to process: 4023
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [255]
% divide(inverse(A),divide(B,inverse(divide(divide(C,D),A)))) <->
% divide(inverse(divide(V_4,divide(divide(D,C),V_5))),divide(divide(B,V_5),V_4))
% Current number of equations to process: 4203
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [256]
% divide(inverse(divide(V_4,divide(divide(D,C),V_5))),divide(divide(B,V_5),V_4))
% <-> divide(inverse(A),divide(B,inverse(divide(divide(C,D),A))))
% Current number of equations to process: 4203
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [257]
% divide(inverse(divide(A,B)),inverse(divide(divide(divide(A,C),D),V_4))) <->
% divide(inverse(divide(V_5,B)),inverse(divide(divide(divide(V_5,C),D),V_4)))
% Current number of equations to process: 4379
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [258]
% divide(divide(A,divide(inverse(divide(D,V_4)),divide(B,D))),inverse(divide(V_4,C)))
% -> divide(A,inverse(divide(B,C)))
% Current number of equations to process: 4457
% Current number of ordered equations: 0
% Current number of rules: 140
% Rule [238]
% divide(divide(inverse(divide(V_4,divide(B,A))),divide(V_5,V_4)),
% inverse(divide(V_5,D))) <->
% divide(divide(inverse(divide(A,B)),C),inverse(divide(C,D))) is composed into 
% [238]
% divide(divide(inverse(divide(V_4,divide(B,A))),divide(V_5,V_4)),inverse(
% divide(V_5,D)))
% ->
% divide(inverse(divide(A,B)),inverse(divide(divide(a2,a2),inverse(divide(
% divide(a2,a2),D)))))
% Rule [147]
% divide(A,inverse(divide(divide(divide(B,C),D),V_4))) <->
% divide(divide(inverse(divide(D,divide(A,divide(C,B)))),V_5),inverse(
% divide(V_5,V_4))) is composed into 
% [147]
% divide(A,inverse(divide(divide(divide(B,C),D),V_4))) <->
% divide(inverse(divide(D,divide(A,divide(C,B)))),inverse(divide(divide(a2,a2),
% inverse(divide(
% divide(a2,a2),V_4)))))
% Rule [81]
% divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,D),V_4)))
% <-> divide(divide(inverse(divide(D,B)),V_5),inverse(divide(V_5,V_4))) is composed into 
% [81]
% divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,D),V_4)))
% <->
% divide(inverse(divide(D,B)),inverse(divide(divide(a2,a2),inverse(divide(
% divide(a2,a2),V_4)))))
% New rule produced :
% [259]
% divide(divide(A,B),inverse(divide(B,C))) <->
% divide(A,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),C)))))
% Rule
% [62]
% divide(divide(divide(A,D),V_5),inverse(divide(V_5,V_4))) <->
% divide(divide(A,B),inverse(divide(divide(B,C),inverse(divide(inverse(
% divide(D,C)),V_4)))))
% collapsed.
% Rule
% [84]
% divide(divide(inverse(divide(D,B)),V_5),inverse(divide(V_5,V_4))) <->
% divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,D),V_4)))
% collapsed.
% Rule
% [116]
% divide(divide(A,B),divide(divide(inverse(C),D),divide(divide(divide(B,A),V_4),
% inverse(divide(V_4,D))))) -> C
% collapsed.
% Rule
% [146]
% divide(divide(inverse(divide(D,divide(A,divide(C,B)))),V_5),inverse(divide(V_5,V_4)))
% <-> divide(A,inverse(divide(divide(divide(B,C),D),V_4))) collapsed.
% Rule
% [160]
% divide(divide(inverse(divide(A,B)),C),inverse(divide(C,inverse(divide(A,D)))))
% <->
% divide(divide(inverse(divide(V_4,B)),V_5),inverse(divide(V_5,inverse(
% divide(V_4,D)))))
% collapsed.
% Rule
% [231]
% divide(divide(A,B),inverse(divide(B,divide(C,D)))) <->
% divide(A,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),divide(C,D))))))
% collapsed.
% Rule
% [237]
% divide(divide(inverse(divide(A,B)),C),inverse(divide(C,D))) <->
% divide(divide(inverse(divide(V_4,divide(B,A))),divide(V_5,V_4)),inverse(
% divide(V_5,D)))
% collapsed.
% Current number of equations to process: 4557
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [260]
% divide(A,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),C))))) <->
% divide(divide(A,B),inverse(divide(B,C)))
% Rule
% [232]
% divide(A,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),divide(C,D))))))
% <-> divide(divide(A,B),inverse(divide(B,divide(C,D)))) collapsed.
% Current number of equations to process: 4557
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [261]
% divide(A,inverse(divide(divide(V_5,V_4),D))) <->
% divide(divide(A,B),divide(inverse(divide(C,D)),divide(divide(B,divide(V_4,V_5)),C)))
% Current number of equations to process: 4596
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [262]
% divide(divide(A,B),divide(inverse(divide(C,D)),divide(divide(B,divide(V_4,V_5)),C)))
% <-> divide(A,inverse(divide(divide(V_5,V_4),D)))
% Current number of equations to process: 4596
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [263]
% inverse(divide(C,divide(B,divide(divide(a2,a2),inverse(divide(divide(a2,a2),D))))))
% <-> divide(inverse(divide(A,B)),divide(divide(C,D),A))
% Current number of equations to process: 4595
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [264]
% divide(inverse(divide(A,B)),divide(divide(C,D),A)) <->
% inverse(divide(C,divide(B,divide(divide(a2,a2),inverse(divide(divide(a2,a2),D))))))
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [265]
% inverse(divide(C,divide(B,divide(divide(V_4,V_5),inverse(divide(divide(V_5,V_4),D))))))
% <-> divide(inverse(divide(A,B)),divide(divide(C,D),A))
% Rule
% [263]
% inverse(divide(C,divide(B,divide(divide(a2,a2),inverse(divide(divide(a2,a2),D))))))
% <-> divide(inverse(divide(A,B)),divide(divide(C,D),A)) collapsed.
% Current number of equations to process: 4594
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [266]
% divide(inverse(divide(A,B)),divide(divide(C,D),A)) <->
% inverse(divide(C,divide(B,divide(divide(V_4,V_5),inverse(divide(divide(V_5,V_4),D))))))
% Rule
% [264]
% divide(inverse(divide(A,B)),divide(divide(C,D),A)) <->
% inverse(divide(C,divide(B,divide(divide(a2,a2),inverse(divide(divide(a2,a2),D))))))
% collapsed.
% Current number of equations to process: 4594
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [267]
% divide(A,divide(inverse(B),divide(C,inverse(divide(D,divide(B,divide(V_4,V_5)))))))
% <-> divide(divide(A,divide(inverse(D),C)),divide(V_5,V_4))
% Current number of equations to process: 4593
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [268]
% divide(divide(A,divide(inverse(D),C)),divide(V_5,V_4)) <->
% divide(A,divide(inverse(B),divide(C,inverse(divide(D,divide(B,divide(V_4,V_5)))))))
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [269]
% divide(A,inverse(divide(divide(divide(C,B),D),inverse(divide(V_4,V_4))))) <->
% divide(divide(A,divide(B,C)),D)
% Current number of equations to process: 4725
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [270]
% divide(divide(A,divide(B,C)),D) <->
% divide(A,inverse(divide(divide(divide(C,B),D),inverse(divide(V_4,V_4)))))
% Current number of equations to process: 4725
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [271]
% inverse(divide(divide(A,B),divide(C,divide(B,inverse(divide(divide(D,V_4),
% inverse(C))))))) ->
% inverse(divide(A,divide(V_4,D)))
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [272]
% inverse(divide(divide(A,B),divide(divide(C,divide(D,V_4)),divide(divide(B,A),
% inverse(divide(V_4,D))))))
% -> C
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 144
% Rule [190]
% divide(inverse(divide(V_4,B)),divide(inverse(divide(V_5,divide(D,C))),
% divide(V_4,V_5))) <->
% divide(divide(inverse(divide(A,B)),divide(inverse(C),A)),D) is composed into 
% [190]
% divide(inverse(divide(V_4,B)),divide(inverse(divide(V_5,divide(D,C))),
% divide(V_4,V_5))) <->
% divide(inverse(divide(a2,B)),inverse(divide(divide(a2,inverse(C)),D)))
% Rule [168]
% divide(A,divide(B,divide(inverse(C),D))) <->
% divide(divide(inverse(divide(V_4,divide(A,C))),divide(D,V_4)),B) is composed into 
% [168]
% divide(A,divide(B,divide(inverse(C),D))) <->
% divide(inverse(divide(V_4,divide(A,C))),inverse(divide(divide(V_4,D),B)))
% Rule [99]
% divide(inverse(divide(divide(A,B),C)),D) <->
% divide(inverse(divide(V_4,C)),divide(divide(inverse(divide(V_5,D)),
% divide(divide(B,A),V_5)),V_4)) is composed into 
% [99]
% divide(inverse(divide(divide(A,B),C)),D) <->
% divide(inverse(divide(V_4,C)),divide(inverse(divide(a2,D)),inverse(divide(
% divide(a2,
% divide(B,A)),V_4))))
% New rule produced :
% [273]
% divide(divide(inverse(divide(A,B)),divide(C,A)),D) <->
% divide(inverse(divide(V_4,B)),inverse(divide(divide(V_4,C),D)))
% Rule
% [81]
% divide(divide(inverse(divide(A,B)),divide(C,A)),inverse(divide(divide(C,D),V_4)))
% <->
% divide(inverse(divide(D,B)),inverse(divide(divide(a2,a2),inverse(divide(
% divide(a2,a2),V_4)))))
% collapsed.
% Rule
% [100]
% divide(inverse(divide(V_4,C)),divide(divide(inverse(divide(V_5,D)),divide(
% divide(B,A),V_5)),V_4))
% <-> divide(inverse(divide(divide(A,B),C)),D) collapsed.
% Rule
% [145]
% divide(inverse(A),divide(divide(divide(inverse(divide(B,C)),divide(A,B)),
% divide(D,V_4)),divide(V_4,D))) -> inverse(C)
% collapsed.
% Rule
% [169]
% divide(divide(inverse(divide(V_4,divide(A,C))),divide(D,V_4)),B) <->
% divide(A,divide(B,divide(inverse(C),D))) collapsed.
% Rule
% [191]
% divide(divide(inverse(divide(A,B)),divide(inverse(C),A)),D) <->
% divide(inverse(divide(V_4,B)),divide(inverse(divide(V_5,divide(D,C))),
% divide(V_4,V_5))) collapsed.
% Rule
% [204]
% divide(divide(inverse(divide(A,B)),divide(B,A)),C) ->
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),C))) collapsed.
% Rule
% [238]
% divide(divide(inverse(divide(V_4,divide(B,A))),divide(V_5,V_4)),inverse(
% divide(V_5,D)))
% ->
% divide(inverse(divide(A,B)),inverse(divide(divide(a2,a2),inverse(divide(
% divide(a2,a2),D)))))
% collapsed.
% Current number of equations to process: 4746
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [274]
% divide(inverse(divide(a2,B)),inverse(divide(divide(a2,B),C))) <->
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),C)))
% Current number of equations to process: 4745
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [275]
% divide(divide(a2,a2),inverse(divide(divide(a2,a2),C))) <->
% divide(inverse(divide(a2,B)),inverse(divide(divide(a2,B),C)))
% Current number of equations to process: 4745
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [276]
% divide(divide(A,B),divide(divide(C,D),inverse(divide(D,B)))) <->
% divide(divide(A,a2),divide(divide(C,V_4),inverse(divide(V_4,a2))))
% Rule
% [126]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))) <->
% divide(divide(inverse(A),a2),divide(divide(C,V_4),inverse(divide(V_4,a2))))
% collapsed.
% Current number of equations to process: 4797
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [277]
% divide(divide(A,B),divide(divide(C,D),inverse(divide(D,B)))) <->
% divide(divide(A,V_4),divide(divide(C,a2),inverse(divide(a2,V_4))))
% Rule
% [127]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))) <->
% divide(divide(inverse(A),V_4),divide(divide(C,a2),inverse(divide(a2,V_4))))
% collapsed.
% Current number of equations to process: 4802
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [278]
% divide(inverse(divide(C,divide(A,divide(D,V_4)))),inverse(divide(divide(C,
% divide(V_4,D)),B)))
% -> divide(A,B)
% Current number of equations to process: 4985
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [279]
% divide(inverse(divide(divide(divide(A,B),C),D)),inverse(divide(A,V_4))) <->
% divide(inverse(divide(divide(divide(V_5,B),C),D)),inverse(divide(V_5,V_4)))
% Current number of equations to process: 3500
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [280]
% divide(inverse(divide(divide(divide(V_4,D),B),C)),V_5) <->
% divide(divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(D,V_4)),A)),V_5)
% Current number of equations to process: 3525
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [281]
% divide(divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(D,V_4)),A)),V_5)
% <-> divide(inverse(divide(divide(divide(V_4,D),B),C)),V_5)
% Current number of equations to process: 3525
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [282]
% divide(inverse(divide(A,B)),divide(C,divide(A,D))) <->
% divide(inverse(divide(V_4,B)),divide(C,divide(V_4,D)))
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [283]
% inverse(divide(A,divide(inverse(divide(B,C)),divide(D,B)))) <->
% divide(inverse(divide(V_4,inverse(divide(V_5,C)))),divide(divide(A,divide(V_5,D)),V_4))
% Current number of equations to process: 3639
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [284]
% divide(inverse(divide(V_4,inverse(divide(V_5,C)))),divide(divide(A,divide(V_5,D)),V_4))
% <-> inverse(divide(A,divide(inverse(divide(B,C)),divide(D,B))))
% Current number of equations to process: 3639
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [285]
% inverse(divide(inverse(divide(V_5,D)),divide(B,divide(V_5,V_4)))) <->
% divide(inverse(divide(A,B)),divide(inverse(divide(a2,D)),inverse(divide(
% divide(a2,V_4),A))))
% Current number of equations to process: 3638
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [286]
% divide(inverse(divide(A,B)),divide(inverse(divide(a2,D)),inverse(divide(
% divide(a2,V_4),A))))
% <-> inverse(divide(inverse(divide(V_5,D)),divide(B,divide(V_5,V_4))))
% Current number of equations to process: 3638
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [287]
% divide(A,divide(B,divide(C,D))) <->
% divide(inverse(divide(V_4,divide(V_5,divide(divide(divide(D,C),A),inverse(V_5))))),
% divide(B,V_4))
% Current number of equations to process: 3636
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [288]
% divide(inverse(divide(V_4,divide(V_5,divide(divide(divide(D,C),A),inverse(V_5))))),
% divide(B,V_4)) <-> divide(A,divide(B,divide(C,D)))
% Current number of equations to process: 3636
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [289]
% inverse(divide(divide(A,B),divide(C,divide(D,inverse(C))))) <->
% divide(inverse(V_4),divide(divide(A,B),divide(inverse(divide(V_5,V_4)),
% divide(D,V_5))))
% Rule
% [142]
% inverse(divide(divide(C,D),divide(B,divide(divide(divide(D,C),V_4),inverse(B)))))
% -> V_4 collapsed.
% Current number of equations to process: 3634
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [290]
% divide(inverse(a2),divide(divide(C,D),divide(inverse(divide(a2,a2)),divide(
% divide(a2,a2),
% inverse(
% divide(
% divide(a2,a2),
% divide(a2,
% divide(
% divide(D,C),V_4))))))))
% -> V_4
% Current number of equations to process: 3633
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [291]
% divide(divide(A,V_4),inverse(divide(V_4,divide(V_5,divide(divide(divide(C,B),D),
% inverse(V_5)))))) <->
% divide(divide(A,divide(B,C)),D)
% Current number of equations to process: 3632
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [292]
% divide(divide(A,divide(B,C)),D) <->
% divide(divide(A,V_4),inverse(divide(V_4,divide(V_5,divide(divide(divide(C,B),D),
% inverse(V_5))))))
% Current number of equations to process: 3632
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [293]
% inverse(divide(inverse(divide(a2,divide(divide(A,B),C))),inverse(divide(a2,
% divide(D,
% divide(C,
% divide(A,B)))))))
% -> D
% Current number of equations to process: 3631
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [294]
% divide(inverse(divide(inverse(divide(A,divide(B,C))),divide(D,divide(A,V_4)))),
% divide(V_4,inverse(divide(C,B)))) -> D
% Current number of equations to process: 3630
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [295]
% divide(inverse(divide(divide(A,B),inverse(divide(divide(B,C),D)))),V_4) <->
% divide(inverse(divide(divide(A,V_5),inverse(divide(divide(V_5,C),D)))),V_4)
% Current number of equations to process: 3746
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [296]
% divide(inverse(A),divide(B,inverse(divide(inverse(divide(C,D)),divide(A,C)))))
% <->
% divide(inverse(V_4),divide(B,divide(inverse(divide(V_5,V_4)),divide(D,V_5))))
% Current number of equations to process: 3840
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [297]
% divide(inverse(V_4),divide(B,divide(inverse(divide(V_5,V_4)),divide(D,V_5))))
% <->
% divide(inverse(A),divide(B,inverse(divide(inverse(divide(C,D)),divide(A,C)))))
% Current number of equations to process: 3840
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [298]
% inverse(divide(inverse(divide(inverse(divide(D,V_4)),divide(C,D))),divide(B,V_4)))
% <-> divide(inverse(divide(A,B)),divide(C,A))
% Current number of equations to process: 3900
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [299]
% divide(inverse(divide(A,B)),divide(C,A)) <->
% inverse(divide(inverse(divide(inverse(divide(D,V_4)),divide(C,D))),divide(B,V_4)))
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [300]
% inverse(divide(A,B)) <->
% divide(inverse(divide(C,inverse(divide(inverse(divide(D,V_4)),divide(B,D))))),
% divide(divide(A,V_4),C))
% Current number of equations to process: 3923
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [301]
% divide(inverse(divide(C,inverse(divide(inverse(divide(D,V_4)),divide(B,D))))),
% divide(divide(A,V_4),C)) <-> inverse(divide(A,B))
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [302]
% divide(divide(A,B),inverse(divide(divide(B,C),inverse(divide(inverse(
% divide(D,C)),V_4)))))
% <->
% divide(divide(A,a2),inverse(divide(divide(a2,a2),inverse(divide(inverse(
% divide(D,a2)),V_4)))))
% Current number of equations to process: 4016
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [303]
% divide(divide(A,a2),inverse(divide(divide(a2,a2),inverse(divide(inverse(
% divide(D,a2)),V_4)))))
% <->
% divide(divide(A,B),inverse(divide(divide(B,C),inverse(divide(inverse(
% divide(D,C)),V_4)))))
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [304]
% divide(divide(B,A),C) <->
% divide(divide(a2,a2),inverse(divide(divide(divide(a2,a2),divide(A,B)),C)))
% Current number of equations to process: 4057
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [305]
% divide(divide(a2,a2),inverse(divide(divide(divide(a2,a2),divide(A,B)),C)))
% <-> divide(divide(B,A),C)
% Current number of equations to process: 4057
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [306]
% divide(divide(A,B),divide(inverse(C),divide(divide(D,V_4),inverse(divide(
% divide(V_4,D),C)))))
% -> divide(A,B)
% Current number of equations to process: 4277
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [307]
% divide(inverse(A),divide(divide(B,C),inverse(divide(divide(C,B),A)))) <->
% divide(inverse(divide(D,divide(V_4,V_5))),divide(divide(V_4,V_5),D))
% Current number of equations to process: 4317
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [308]
% divide(inverse(divide(D,divide(V_4,V_5))),divide(divide(V_4,V_5),D)) <->
% divide(inverse(A),divide(divide(B,C),inverse(divide(divide(C,B),A))))
% Current number of equations to process: 4317
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [309]
% divide(inverse(divide(A,B)),divide(a2,divide(A,inverse(a2)))) <->
% divide(inverse(divide(C,B)),divide(D,divide(C,inverse(D))))
% Rule
% [159]
% inverse(divide(inverse(divide(A,B)),divide(a2,divide(A,inverse(a2))))) <->
% inverse(divide(inverse(divide(C,B)),divide(D,divide(C,inverse(D)))))
% collapsed.
% Current number of equations to process: 4434
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [310]
% divide(inverse(divide(C,B)),divide(D,divide(C,inverse(D)))) <->
% divide(inverse(divide(A,B)),divide(a2,divide(A,inverse(a2))))
% Rule
% [158]
% inverse(divide(inverse(divide(C,B)),divide(D,divide(C,inverse(D))))) <->
% inverse(divide(inverse(divide(A,B)),divide(a2,divide(A,inverse(a2)))))
% collapsed.
% Current number of equations to process: 4434
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [311]
% divide(inverse(A),divide(inverse(divide(a2,C)),inverse(divide(divide(
% divide(a2,A),
% divide(D,V_4)),
% divide(V_4,D))))) ->
% inverse(C)
% Current number of equations to process: 4651
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [312]
% inverse(inverse(divide(A,divide(B,divide(inverse(C),divide(inverse(B),C))))))
% -> A
% Current number of equations to process: 4707
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [313]
% divide(inverse(divide(V_4,divide(B,inverse(D)))),divide(C,V_4)) <->
% divide(inverse(divide(A,divide(B,inverse(A)))),divide(C,D))
% Current number of equations to process: 4709
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [314]
% divide(inverse(divide(A,divide(B,inverse(A)))),divide(C,D)) <->
% divide(inverse(divide(V_4,divide(B,inverse(D)))),divide(C,V_4))
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [315]
% divide(A,inverse(divide(B,divide(inverse(V_4),D)))) <->
% divide(A,inverse(divide(divide(B,divide(C,divide(D,inverse(C)))),inverse(V_4))))
% Current number of equations to process: 4727
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [316]
% divide(A,inverse(divide(divide(B,divide(C,divide(D,inverse(C)))),inverse(V_4))))
% <-> divide(A,inverse(divide(B,divide(inverse(V_4),D))))
% Current number of equations to process: 4727
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [317] divide(inverse(A),divide(inverse(B),A)) -> B
% Rule
% [312]
% inverse(inverse(divide(A,divide(B,divide(inverse(C),divide(inverse(B),C))))))
% -> A collapsed.
% Current number of equations to process: 4765
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [318] inverse(inverse(divide(A,divide(B,B)))) -> A
% Current number of equations to process: 4764
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [319] divide(A,inverse(divide(C,C))) <-> divide(A,inverse(divide(B,B)))
% Current number of equations to process: 4766
% Current number of ordered equations: 0
% Current number of rules: 178
% Rule [270]
% divide(divide(A,divide(B,C)),D) <->
% divide(A,inverse(divide(divide(divide(C,B),D),inverse(divide(V_4,V_4))))) is composed into 
% [270]
% divide(divide(A,divide(B,C)),D) <-> divide(A,inverse(divide(divide(C,B),D)))
% New rule produced : [320] divide(A,inverse(divide(B,B))) -> A
% Rule
% [92]
% divide(divide(inverse(A),a2),divide(divide(C,a2),inverse(divide(a2,a2)))) <->
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B))))
% collapsed.
% Rule
% [269]
% divide(A,inverse(divide(divide(divide(C,B),D),inverse(divide(V_4,V_4))))) <->
% divide(divide(A,divide(B,C)),D) collapsed.
% Rule [319] divide(A,inverse(divide(C,C))) <-> divide(A,inverse(divide(B,B)))
% collapsed.
% Current number of equations to process: 4824
% Current number of ordered equations: 0
% Current number of rules: 176
% Rule [241]
% divide(divide(inverse(A),divide(B,C)),divide(D,inverse(divide(C,B))))
% <->
% divide(divide(inverse(A),a2),divide(divide(D,V_4),inverse(divide(V_4,a2)))) is composed into 
% [241]
% divide(divide(inverse(A),divide(B,C)),divide(D,inverse(divide(C,B)))) ->
% divide(divide(inverse(A),a2),divide(D,a2))
% New rule produced :
% [321]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))) <->
% divide(divide(inverse(A),a2),divide(C,a2))
% Rule
% [242]
% divide(divide(inverse(A),a2),divide(divide(D,V_4),inverse(divide(V_4,a2))))
% <-> divide(divide(inverse(A),divide(B,C)),divide(D,inverse(divide(C,B))))
% collapsed.
% Current number of equations to process: 4822
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [322]
% divide(divide(inverse(A),a2),divide(C,a2)) <->
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B))))
% Current number of equations to process: 4822
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [323]
% divide(A,divide(D,divide(C,inverse(D)))) <->
% divide(A,divide(B,divide(C,inverse(B))))
% Current number of equations to process: 4825
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [324]
% divide(divide(A,B),divide(inverse(divide(C,divide(D,inverse(C)))),divide(
% divide(B,A),V_4)))
% <-> divide(inverse(V_4),D)
% Current number of equations to process: 4824
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [325]
% divide(inverse(V_4),D) <->
% divide(divide(A,B),divide(inverse(divide(C,divide(D,inverse(C)))),divide(
% divide(B,A),V_4)))
% Current number of equations to process: 4824
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [326]
% divide(divide(A,B),divide(inverse(divide(C,divide(D,V_4))),divide(divide(B,V_4),C)))
% -> divide(A,D)
% Current number of equations to process: 4991
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [327]
% inverse(divide(A,divide(divide(B,divide(C,D)),divide(D,C)))) <->
% divide(inverse(divide(V_4,divide(B,V_5))),divide(divide(A,V_5),V_4))
% Current number of equations to process: 4990
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [328]
% divide(inverse(divide(V_4,divide(B,V_5))),divide(divide(A,V_5),V_4)) <->
% inverse(divide(A,divide(divide(B,divide(C,D)),divide(D,C))))
% Current number of equations to process: 4990
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [329]
% divide(A,divide(inverse(divide(B,divide(C,D))),divide(divide(V_4,D),B))) <->
% divide(divide(A,divide(inverse(V_5),divide(V_4,V_5))),C)
% Current number of equations to process: 2675
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [330]
% divide(divide(A,divide(inverse(V_5),divide(V_4,V_5))),C) <->
% divide(A,divide(inverse(divide(B,divide(C,D))),divide(divide(V_4,D),B)))
% Current number of equations to process: 2675
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [331]
% inverse(divide(A,divide(B,divide(divide(C,D),inverse(B))))) <->
% divide(inverse(divide(V_4,divide(divide(D,C),V_5))),divide(divide(A,V_5),V_4))
% Current number of equations to process: 2712
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [332]
% divide(inverse(divide(V_4,divide(divide(D,C),V_5))),divide(divide(A,V_5),V_4))
% <-> inverse(divide(A,divide(B,divide(divide(C,D),inverse(B)))))
% Current number of equations to process: 2712
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [333]
% divide(inverse(divide(A,B)),divide(divide(C,D),A)) <->
% divide(B,divide(V_4,divide(divide(D,C),inverse(V_4))))
% Rule
% [75]
% divide(inverse(divide(A,divide(B,divide(C,D)))),divide(divide(D,C),A)) -> B
% collapsed.
% Current number of equations to process: 2731
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [334]
% divide(divide(B,divide(C,D)),divide(a2,divide(divide(C,D),inverse(a2)))) -> B
% Current number of equations to process: 2730
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [335]
% divide(B,divide(V_4,divide(divide(D,C),inverse(V_4)))) <->
% divide(inverse(divide(A,B)),divide(divide(C,D),A))
% Current number of equations to process: 2730
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [336]
% inverse(divide(A,divide(B,divide(C,D)))) <->
% divide(B,divide(V_4,divide(divide(divide(D,C),A),inverse(V_4))))
% Current number of equations to process: 2866
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [337]
% divide(B,divide(V_4,divide(divide(divide(D,C),A),inverse(V_4)))) <->
% inverse(divide(A,divide(B,divide(C,D))))
% Current number of equations to process: 2866
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [338]
% divide(divide(A,divide(divide(B,C),inverse(A))),divide(D,divide(V_4,V_5)))
% <-> divide(divide(divide(C,B),divide(V_5,V_4)),D)
% Current number of equations to process: 2865
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [339]
% divide(divide(divide(C,B),divide(V_5,V_4)),D) <->
% divide(divide(A,divide(divide(B,C),inverse(A))),divide(D,divide(V_4,V_5)))
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [340]
% divide(divide(B,V_4),divide(V_5,divide(divide(V_4,D),inverse(V_5)))) <->
% divide(inverse(divide(A,divide(B,C))),divide(divide(D,C),A))
% Current number of equations to process: 2958
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [341]
% divide(inverse(divide(A,divide(B,C))),divide(divide(D,C),A)) <->
% divide(divide(B,V_4),divide(V_5,divide(divide(V_4,D),inverse(V_5))))
% Current number of equations to process: 2958
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [342]
% divide(divide(C,divide(inverse(V_4),B)),D) <->
% divide(inverse(divide(divide(A,B),C)),inverse(divide(A,divide(D,V_4))))
% Current number of equations to process: 3354
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [343]
% divide(inverse(divide(divide(A,B),C)),inverse(divide(A,divide(D,V_4)))) <->
% divide(divide(C,divide(inverse(V_4),B)),D)
% Current number of equations to process: 3354
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [344] divide(divide(a2,a2),inverse(divide(divide(a2,a2),inverse(A)))) -> A
% Current number of equations to process: 3473
% Current number of ordered equations: 0
% Current number of rules: 198
% Rule [341]
% divide(inverse(divide(A,divide(B,C))),divide(divide(D,C),A)) <->
% divide(divide(B,V_4),divide(V_5,divide(divide(V_4,D),inverse(V_5)))) is composed into 
% [341]
% divide(inverse(divide(A,divide(B,C))),divide(divide(D,C),A)) <->
% divide(divide(B,V_4),inverse(divide(V_4,D)))
% Rule [336]
% inverse(divide(A,divide(B,divide(C,D)))) <->
% divide(B,divide(V_4,divide(divide(divide(D,C),A),inverse(V_4)))) is composed into 
% [336]
% inverse(divide(A,divide(B,divide(C,D)))) <->
% divide(B,inverse(divide(divide(D,C),A)))
% Rule [333]
% divide(inverse(divide(A,B)),divide(divide(C,D),A)) <->
% divide(B,divide(V_4,divide(divide(D,C),inverse(V_4)))) is composed into 
% [333]
% divide(inverse(divide(A,B)),divide(divide(C,D),A)) ->
% divide(B,inverse(divide(D,C)))
% Rule [332]
% divide(inverse(divide(V_4,divide(divide(D,C),V_5))),divide(divide(A,V_5),V_4))
% <-> inverse(divide(A,divide(B,divide(divide(C,D),inverse(B))))) is composed into 
% [332]
% divide(inverse(divide(V_4,divide(divide(D,C),V_5))),divide(divide(A,V_5),V_4))
% <-> inverse(divide(A,inverse(divide(C,D))))
% Rule [315]
% divide(A,inverse(divide(B,divide(inverse(V_4),D)))) <->
% divide(A,inverse(divide(divide(B,divide(C,divide(D,inverse(C)))),
% inverse(V_4)))) is composed into [315]
% divide(A,inverse(
% divide(B,
% divide(
% inverse(V_4),D))))
% <->
% divide(A,inverse(
% divide(
% divide(B,
% inverse(D)),
% inverse(V_4))))
% Rule [292]
% divide(divide(A,divide(B,C)),D) <->
% divide(divide(A,V_4),inverse(divide(V_4,divide(V_5,divide(divide(
% divide(C,B),D),
% inverse(V_5)))))) is composed into 
% [292]
% divide(divide(A,divide(B,C)),D) <->
% divide(divide(A,V_4),inverse(divide(V_4,inverse(divide(divide(C,B),D)))))
% Rule [287]
% divide(A,divide(B,divide(C,D))) <->
% divide(inverse(divide(V_4,divide(V_5,divide(divide(divide(D,C),A),
% inverse(V_5))))),divide(B,V_4)) is composed into 
% [287]
% divide(A,divide(B,divide(C,D))) <->
% divide(inverse(divide(V_4,inverse(divide(divide(D,C),A)))),divide(B,V_4))
% Rule [195]
% divide(inverse(D),divide(A,divide(inverse(divide(A,D)),divide(C,A))))
% <-> inverse(divide(A,divide(B,divide(C,inverse(B))))) is composed into 
% [195]
% divide(inverse(D),divide(A,divide(inverse(divide(A,D)),divide(C,A)))) ->
% inverse(divide(A,inverse(C)))
% Rule [173]
% divide(inverse(divide(V_4,divide(D,C))),divide(A,V_4)) <->
% inverse(divide(A,divide(B,divide(divide(C,D),inverse(B))))) is composed into 
% [173]
% divide(inverse(divide(V_4,divide(D,C))),divide(A,V_4)) <->
% inverse(divide(A,inverse(divide(C,D))))
% Rule [166]
% divide(A,divide(divide(V_5,V_4),divide(C,B))) <->
% divide(divide(A,divide(B,C)),divide(D,divide(divide(V_4,V_5),inverse(D)))) is composed into 
% [166]
% divide(A,divide(divide(V_5,V_4),divide(C,B))) <->
% divide(divide(A,divide(B,C)),inverse(divide(V_4,V_5)))
% Rule [56]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B))))
% <-> inverse(divide(C,divide(V_5,divide(A,inverse(V_5))))) is composed into 
% [56]
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))) <->
% inverse(divide(C,inverse(A)))
% New rule produced :
% [345] divide(A,divide(C,divide(B,inverse(C)))) -> divide(A,inverse(B))
% Rule
% [162]
% divide(inverse(divide(A,divide(B,divide(C,inverse(B))))),divide(divide(
% inverse(D),C),A))
% -> D collapsed.
% Rule
% [167]
% divide(divide(A,divide(B,C)),divide(D,divide(divide(V_4,V_5),inverse(D))))
% <-> divide(A,divide(divide(V_5,V_4),divide(C,B))) collapsed.
% Rule
% [170]
% divide(divide(A,B),inverse(divide(divide(B,A),divide(C,divide(D,inverse(C))))))
% -> D collapsed.
% Rule
% [172]
% inverse(divide(A,divide(B,divide(divide(C,D),inverse(B))))) <->
% divide(inverse(divide(V_4,divide(D,C))),divide(A,V_4)) collapsed.
% Rule
% [194]
% inverse(divide(A,divide(B,divide(C,inverse(B))))) <->
% divide(inverse(D),divide(A,divide(inverse(divide(A,D)),divide(C,A))))
% collapsed.
% Rule
% [224]
% inverse(divide(divide(divide(A,B),C),inverse(divide(divide(C,D),divide(V_4,
% divide(D,
% inverse(V_4)))))))
% -> divide(B,A) collapsed.
% Rule
% [288]
% divide(inverse(divide(V_4,divide(V_5,divide(divide(divide(D,C),A),inverse(V_5))))),
% divide(B,V_4)) <-> divide(A,divide(B,divide(C,D))) collapsed.
% Rule
% [289]
% inverse(divide(divide(A,B),divide(C,divide(D,inverse(C))))) <->
% divide(inverse(V_4),divide(divide(A,B),divide(inverse(divide(V_5,V_4)),
% divide(D,V_5)))) collapsed.
% Rule
% [291]
% divide(divide(A,V_4),inverse(divide(V_4,divide(V_5,divide(divide(divide(C,B),D),
% inverse(V_5)))))) <->
% divide(divide(A,divide(B,C)),D) collapsed.
% Rule
% [309]
% divide(inverse(divide(A,B)),divide(a2,divide(A,inverse(a2)))) <->
% divide(inverse(divide(C,B)),divide(D,divide(C,inverse(D)))) collapsed.
% Rule
% [310]
% divide(inverse(divide(C,B)),divide(D,divide(C,inverse(D)))) <->
% divide(inverse(divide(A,B)),divide(a2,divide(A,inverse(a2)))) collapsed.
% Rule
% [316]
% divide(A,inverse(divide(divide(B,divide(C,divide(D,inverse(C)))),inverse(V_4))))
% <-> divide(A,inverse(divide(B,divide(inverse(V_4),D)))) collapsed.
% Rule
% [323]
% divide(A,divide(D,divide(C,inverse(D)))) <->
% divide(A,divide(B,divide(C,inverse(B)))) collapsed.
% Rule
% [331]
% inverse(divide(A,divide(B,divide(divide(C,D),inverse(B))))) <->
% divide(inverse(divide(V_4,divide(divide(D,C),V_5))),divide(divide(A,V_5),V_4))
% collapsed.
% Rule
% [334]
% divide(divide(B,divide(C,D)),divide(a2,divide(divide(C,D),inverse(a2)))) -> B
% collapsed.
% Rule
% [335]
% divide(B,divide(V_4,divide(divide(D,C),inverse(V_4)))) <->
% divide(inverse(divide(A,B)),divide(divide(C,D),A)) collapsed.
% Rule
% [337]
% divide(B,divide(V_4,divide(divide(divide(D,C),A),inverse(V_4)))) <->
% inverse(divide(A,divide(B,divide(C,D)))) collapsed.
% Rule
% [340]
% divide(divide(B,V_4),divide(V_5,divide(divide(V_4,D),inverse(V_5)))) <->
% divide(inverse(divide(A,divide(B,C))),divide(divide(D,C),A)) collapsed.
% Current number of equations to process: 3598
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [346] divide(divide(B,divide(C,D)),inverse(divide(C,D))) -> B
% Current number of equations to process: 3597
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [347]
% divide(inverse(divide(A,B)),inverse(A)) <->
% divide(inverse(divide(C,B)),inverse(C))
% Current number of equations to process: 3596
% Current number of ordered equations: 0
% Current number of rules: 183
% Rule [234]
% divide(divide(A,divide(B,C)),inverse(divide(D,V_4))) <->
% divide(A,inverse(divide(divide(C,B),inverse(divide(divide(B,C),inverse(
% divide(
% inverse(
% divide(B,C)),
% divide(V_4,D)))))))) is composed into 
% [234]
% divide(divide(A,divide(B,C)),inverse(divide(D,V_4))) <->
% divide(A,inverse(divide(inverse(divide(B,C)),divide(V_4,D))))
% New rule produced :
% [348] divide(divide(A,B),inverse(divide(divide(B,A),inverse(D)))) -> D
% Rule
% [233]
% divide(A,inverse(divide(divide(C,B),inverse(divide(divide(B,C),inverse(
% divide(
% inverse(
% divide(B,C)),
% divide(V_4,D))))))))
% <-> divide(divide(A,divide(B,C)),inverse(divide(D,V_4))) collapsed.
% Rule
% [344] divide(divide(a2,a2),inverse(divide(divide(a2,a2),inverse(A)))) -> A
% collapsed.
% Current number of equations to process: 3596
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [349] divide(inverse(C),inverse(divide(C,inverse(D)))) -> D
% Current number of equations to process: 3594
% Current number of ordered equations: 0
% Current number of rules: 183
% Rule [223]
% divide(divide(A,D),inverse(divide(divide(D,V_4),divide(inverse(C),V_4))))
% <->
% divide(divide(A,B),inverse(divide(divide(B,a2),divide(inverse(C),a2)))) is composed into 
% [223]
% divide(divide(A,D),inverse(divide(divide(D,V_4),divide(inverse(C),V_4)))) <->
% divide(divide(A,B),inverse(divide(divide(B,a2),inverse(divide(a2,inverse(C))))))
% New rule produced :
% [350]
% divide(A,inverse(divide(B,divide(inverse(V_4),D)))) <->
% divide(A,inverse(divide(B,inverse(divide(D,inverse(V_4))))))
% Rule
% [222]
% divide(divide(A,B),inverse(divide(divide(B,a2),divide(inverse(C),a2)))) <->
% divide(divide(A,D),inverse(divide(divide(D,V_4),divide(inverse(C),V_4))))
% collapsed.
% Current number of equations to process: 3592
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [351]
% divide(A,inverse(divide(B,inverse(divide(D,inverse(V_4)))))) <->
% divide(A,inverse(divide(B,divide(inverse(V_4),D))))
% Current number of equations to process: 3592
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [352]
% inverse(divide(divide(divide(A,B),C),inverse(divide(divide(C,D),inverse(D)))))
% -> divide(B,A)
% Current number of equations to process: 3591
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [353]
% divide(inverse(divide(A,divide(divide(A,divide(B,C)),divide(C,B)))),inverse(D))
% -> D
% Current number of equations to process: 3590
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [354]
% inverse(divide(A,inverse(divide(C,D)))) <->
% divide(divide(D,C),inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),A)))))
% Current number of equations to process: 3586
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [355]
% divide(divide(D,C),inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),A)))))
% <-> inverse(divide(A,inverse(divide(C,D))))
% Current number of equations to process: 3586
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [356]
% inverse(divide(C,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),B))))))
% <-> divide(inverse(divide(A,B)),divide(C,A))
% Current number of equations to process: 3645
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [357]
% divide(inverse(divide(A,B)),divide(C,A)) <->
% inverse(divide(C,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),B))))))
% Current number of equations to process: 3645
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [358]
% inverse(divide(B,inverse(divide(D,C)))) <->
% divide(inverse(A),divide(B,divide(A,inverse(divide(C,D)))))
% Rule
% [352]
% inverse(divide(divide(divide(A,B),C),inverse(divide(divide(C,D),inverse(D)))))
% -> divide(B,A) collapsed.
% Current number of equations to process: 3658
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [359]
% divide(inverse(A),divide(B,divide(A,inverse(divide(C,D))))) <->
% inverse(divide(B,inverse(divide(D,C))))
% Current number of equations to process: 3658
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [360]
% inverse(divide(divide(D,C),inverse(divide(B,A)))) <->
% divide(divide(A,B),inverse(divide(C,D)))
% Current number of equations to process: 3700
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [361]
% divide(divide(A,B),inverse(divide(C,D))) <->
% inverse(divide(divide(D,C),inverse(divide(B,A))))
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 193
% Rule [343]
% divide(inverse(divide(divide(A,B),C)),inverse(divide(A,divide(D,V_4))))
% <-> divide(divide(C,divide(inverse(V_4),B)),D) is composed into 
% [343]
% divide(inverse(divide(divide(A,B),C)),inverse(divide(A,divide(D,V_4)))) <->
% divide(C,inverse(divide(B,inverse(divide(V_4,D)))))
% Rule [329]
% divide(A,divide(inverse(divide(B,divide(C,D))),divide(divide(V_4,D),B)))
% <-> divide(divide(A,divide(inverse(V_5),divide(V_4,V_5))),C) is composed into 
% [329]
% divide(A,divide(inverse(divide(B,divide(C,D))),divide(divide(V_4,D),B))) <->
% divide(A,inverse(divide(divide(V_4,V_5),inverse(divide(V_5,C)))))
% Rule [280]
% divide(inverse(divide(divide(divide(V_4,D),B),C)),V_5) <->
% divide(divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(D,V_4)),A)),V_5) is composed into 
% [280]
% divide(inverse(divide(divide(divide(V_4,D),B),C)),V_5) <->
% divide(inverse(divide(divide(A,B),C)),inverse(divide(A,inverse(divide(
% divide(D,V_4),V_5)))))
% Rule [267]
% divide(A,divide(inverse(B),divide(C,inverse(divide(D,divide(B,divide(V_4,V_5)))))))
% <-> divide(divide(A,divide(inverse(D),C)),divide(V_5,V_4)) is composed into 
% [267]
% divide(A,divide(inverse(B),divide(C,inverse(divide(D,divide(B,divide(V_4,V_5)))))))
% <-> divide(A,inverse(divide(C,inverse(divide(D,divide(V_5,V_4))))))
% Rule [249]
% divide(A,inverse(divide(B,divide(divide(C,D),divide(V_4,V_5))))) <->
% divide(divide(A,divide(inverse(D),divide(B,divide(V_5,V_4)))),C) is composed into 
% [249]
% divide(A,inverse(divide(B,divide(divide(C,D),divide(V_4,V_5))))) <->
% divide(A,inverse(divide(divide(B,divide(V_5,V_4)),inverse(divide(D,C)))))
% Rule [181]
% divide(inverse(divide(A,B)),divide(inverse(divide(C,divide(D,V_4))),A))
% <->
% divide(divide(inverse(divide(divide(V_5,C),B)),divide(inverse(V_4),V_5)),D) is composed into 
% [181]
% divide(inverse(divide(A,B)),divide(inverse(divide(C,divide(D,V_4))),A)) <->
% divide(inverse(divide(divide(V_5,C),B)),inverse(divide(V_5,inverse(divide(V_4,D)))))
% Rule [174]
% inverse(divide(V_4,divide(D,B))) <->
% divide(inverse(divide(divide(A,divide(inverse(B),C)),D)),divide(
% divide(V_4,C),A)) is composed into 
% [174]
% inverse(divide(V_4,divide(D,B))) <->
% divide(inverse(divide(A,inverse(divide(C,inverse(divide(B,D)))))),divide(
% divide(V_4,C),A))
% Rule [113]
% divide(A,divide(inverse(divide(B,divide(C,D))),divide(V_4,B))) <->
% divide(divide(A,divide(inverse(D),V_4)),C) is composed into [113]
% divide(A,
% divide(
% inverse(
% divide(B,
% divide(C,D))),
% divide(V_4,B)))
% <->
% divide(A,
% inverse(
% divide(V_4,
% inverse(
% divide(D,C)))))
% New rule produced :
% [362]
% divide(divide(A,divide(inverse(C),B)),D) ->
% divide(A,inverse(divide(B,inverse(divide(C,D)))))
% Rule
% [114]
% divide(divide(A,divide(inverse(D),V_4)),C) <->
% divide(A,divide(inverse(divide(B,divide(C,D))),divide(V_4,B))) collapsed.
% Rule
% [175]
% divide(inverse(divide(divide(A,divide(inverse(B),C)),D)),divide(divide(V_4,C),A))
% <-> inverse(divide(V_4,divide(D,B))) collapsed.
% Rule
% [182]
% divide(divide(inverse(divide(divide(V_5,C),B)),divide(inverse(V_4),V_5)),D)
% <-> divide(inverse(divide(A,B)),divide(inverse(divide(C,divide(D,V_4))),A))
% collapsed.
% Rule
% [214]
% divide(divide(divide(A,B),divide(inverse(C),divide(B,A))),D) -> divide(C,D)
% collapsed.
% Rule
% [250]
% divide(divide(A,divide(inverse(D),divide(B,divide(V_5,V_4)))),C) <->
% divide(A,inverse(divide(B,divide(divide(C,D),divide(V_4,V_5))))) collapsed.
% Rule
% [258]
% divide(divide(A,divide(inverse(divide(D,V_4)),divide(B,D))),inverse(divide(V_4,C)))
% -> divide(A,inverse(divide(B,C))) collapsed.
% Rule
% [268]
% divide(divide(A,divide(inverse(D),C)),divide(V_5,V_4)) <->
% divide(A,divide(inverse(B),divide(C,inverse(divide(D,divide(B,divide(V_4,V_5)))))))
% collapsed.
% Rule
% [281]
% divide(divide(inverse(divide(divide(A,B),C)),divide(inverse(divide(D,V_4)),A)),V_5)
% <-> divide(inverse(divide(divide(divide(V_4,D),B),C)),V_5) collapsed.
% Rule
% [330]
% divide(divide(A,divide(inverse(V_5),divide(V_4,V_5))),C) <->
% divide(A,divide(inverse(divide(B,divide(C,D))),divide(divide(V_4,D),B)))
% collapsed.
% Rule
% [342]
% divide(divide(C,divide(inverse(V_4),B)),D) <->
% divide(inverse(divide(divide(A,B),C)),inverse(divide(A,divide(D,V_4))))
% collapsed.
% Current number of equations to process: 3721
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [363]
% inverse(divide(V_4,inverse(divide(divide(C,B),A)))) <->
% divide(A,inverse(divide(divide(divide(B,C),D),divide(V_4,D))))
% Current number of equations to process: 3737
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [364]
% divide(A,inverse(divide(divide(divide(B,C),D),divide(V_4,D)))) <->
% inverse(divide(V_4,inverse(divide(divide(C,B),A))))
% Current number of equations to process: 3737
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [365]
% inverse(divide(D,divide(C,B))) <->
% divide(inverse(divide(A,inverse(divide(B,C)))),inverse(divide(A,D)))
% Rule
% [311]
% divide(inverse(A),divide(inverse(divide(a2,C)),inverse(divide(divide(
% divide(a2,A),
% divide(D,V_4)),
% divide(V_4,D))))) ->
% inverse(C) collapsed.
% Current number of equations to process: 3762
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [366]
% divide(inverse(divide(A,inverse(divide(B,C)))),inverse(divide(A,D))) <->
% inverse(divide(D,divide(C,B)))
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [367]
% inverse(divide(divide(A,C),inverse(divide(divide(C,D),inverse(divide(D,B))))))
% -> inverse(divide(A,B))
% Current number of equations to process: 3761
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [368]
% inverse(divide(B,inverse(divide(C,divide(V_4,D))))) <->
% divide(inverse(A),divide(B,inverse(divide(C,divide(A,divide(D,V_4))))))
% Current number of equations to process: 3760
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [369]
% divide(inverse(A),divide(B,inverse(divide(C,divide(A,divide(D,V_4)))))) <->
% inverse(divide(B,inverse(divide(C,divide(V_4,D)))))
% Rule
% [267]
% divide(A,divide(inverse(B),divide(C,inverse(divide(D,divide(B,divide(V_4,V_5)))))))
% <-> divide(A,inverse(divide(C,inverse(divide(D,divide(V_5,V_4))))))
% collapsed.
% Current number of equations to process: 3760
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [370]
% inverse(divide(A,inverse(divide(B,inverse(divide(C,D)))))) <->
% divide(inverse(divide(V_4,divide(D,C))),inverse(divide(divide(V_4,B),A)))
% Current number of equations to process: 3778
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [371]
% divide(inverse(divide(V_4,divide(D,C))),inverse(divide(divide(V_4,B),A))) <->
% inverse(divide(A,inverse(divide(B,inverse(divide(C,D))))))
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 191
% Rule [357]
% divide(inverse(divide(A,B)),divide(C,A)) <->
% inverse(divide(C,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),B)))))) is composed into 
% [357] divide(inverse(divide(A,B)),divide(C,A)) <-> inverse(divide(C,B))
% Rule [354]
% inverse(divide(A,inverse(divide(C,D)))) <->
% divide(divide(D,C),inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),A))))) is composed into 
% [354] inverse(divide(A,inverse(divide(C,D)))) <-> divide(divide(D,C),A)
% Rule [259]
% divide(divide(A,B),inverse(divide(B,C))) <->
% divide(A,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),C))))) is composed into 
% [259] divide(divide(A,B),inverse(divide(B,C))) -> divide(A,C)
% Rule [229]
% divide(inverse(divide(D,A)),divide(divide(B,C),D)) <->
% divide(inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),A)))),
% divide(B,C)) is composed into [229]
% divide(inverse(divide(D,A)),divide(
% divide(B,C),D))
% -> divide(A,divide(B,C))
% Rule [147]
% divide(A,inverse(divide(divide(divide(B,C),D),V_4))) <->
% divide(inverse(divide(D,divide(A,divide(C,B)))),inverse(divide(divide(a2,a2),
% inverse(
% divide(divide(a2,a2),V_4))))) is composed into 
% [147]
% divide(A,inverse(divide(divide(divide(B,C),D),V_4))) <->
% divide(inverse(divide(D,divide(A,divide(C,B)))),V_4)
% New rule produced :
% [372] inverse(divide(divide(B,C),inverse(divide(divide(C,B),A)))) -> A
% Rule
% [230]
% divide(inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),A)))),
% divide(B,C)) <-> divide(inverse(divide(D,A)),divide(divide(B,C),D))
% collapsed.
% Rule
% [260]
% divide(A,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),C))))) <->
% divide(divide(A,B),inverse(divide(B,C))) collapsed.
% Rule
% [355]
% divide(divide(D,C),inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),A)))))
% <-> inverse(divide(A,inverse(divide(C,D)))) collapsed.
% Rule
% [356]
% inverse(divide(C,inverse(divide(divide(a2,a2),inverse(divide(divide(a2,a2),B))))))
% <-> divide(inverse(divide(A,B)),divide(C,A)) collapsed.
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 188
% Rule [297]
% divide(inverse(V_4),divide(B,divide(inverse(divide(V_5,V_4)),divide(D,V_5))))
% <->
% divide(inverse(A),divide(B,inverse(divide(inverse(divide(C,D)),divide(A,C))))) is composed into 
% [297]
% divide(inverse(V_4),divide(B,divide(inverse(divide(V_5,V_4)),divide(D,V_5))))
% -> inverse(divide(B,inverse(D)))
% New rule produced :
% [373]
% divide(inverse(A),divide(B,inverse(divide(inverse(divide(C,D)),divide(A,C)))))
% -> inverse(divide(B,inverse(D)))
% Rule
% [296]
% divide(inverse(A),divide(B,inverse(divide(inverse(divide(C,D)),divide(A,C)))))
% <->
% divide(inverse(V_4),divide(B,divide(inverse(divide(V_5,V_4)),divide(D,V_5))))
% collapsed.
% Current number of equations to process: 3789
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [374] divide(divide(C,D),divide(divide(B,A),divide(D,C))) -> divide(A,B)
% Current number of equations to process: 3789
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [375] inverse(divide(C,A)) <-> divide(divide(A,B),divide(C,B))
% Current number of equations to process: 3805
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [376] divide(divide(A,B),divide(C,B)) <-> inverse(divide(C,A))
% Current number of equations to process: 3805
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [377]
% divide(divide(A,V_4),divide(D,V_4)) <->
% divide(inverse(inverse(divide(A,inverse(divide(B,C))))),divide(D,divide(C,B)))
% Current number of equations to process: 3818
% Current number of ordered equations: 1
% Current number of rules: 192
% Rule [377]
% divide(divide(A,V_4),divide(D,V_4)) <->
% divide(inverse(inverse(divide(A,inverse(divide(B,C))))),divide(D,
% divide(C,B))) is composed into 
% [377]
% divide(divide(A,V_4),divide(D,V_4)) <-> divide(divide(A,a2),divide(D,a2))
% New rule produced :
% [378]
% divide(inverse(inverse(divide(A,inverse(divide(B,C))))),divide(D,divide(C,B)))
% <-> divide(divide(A,V_4),divide(D,V_4))
% Current number of equations to process: 3818
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [379]
% divide(inverse(divide(V_4,divide(A,B))),inverse(divide(V_4,divide(D,C)))) <->
% divide(A,inverse(divide(inverse(B),inverse(divide(C,D)))))
% Current number of equations to process: 3817
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [380]
% divide(A,inverse(divide(inverse(B),inverse(divide(C,D))))) <->
% divide(inverse(divide(V_4,divide(A,B))),inverse(divide(V_4,divide(D,C))))
% Current number of equations to process: 3817
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [381]
% divide(inverse(divide(inverse(divide(A,divide(B,C))),inverse(A))),divide(
% inverse(D),
% inverse(
% divide(C,B))))
% -> D
% Current number of equations to process: 3815
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [382]
% inverse(divide(V_4,inverse(divide(B,divide(D,C))))) <->
% divide(inverse(divide(A,inverse(divide(B,inverse(divide(C,D)))))),divide(V_4,A))
% Current number of equations to process: 3814
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [383]
% divide(inverse(divide(A,inverse(divide(B,inverse(divide(C,D)))))),divide(V_4,A))
% <-> inverse(divide(V_4,inverse(divide(B,divide(D,C)))))
% Current number of equations to process: 3814
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [384]
% divide(inverse(inverse(divide(A,inverse(B)))),divide(C,divide(inverse(B),D)))
% <-> inverse(divide(C,inverse(divide(inverse(divide(V_4,D)),divide(A,V_4)))))
% Current number of equations to process: 3810
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [385]
% inverse(divide(C,inverse(divide(inverse(divide(V_4,D)),divide(A,V_4))))) <->
% divide(inverse(inverse(divide(A,inverse(B)))),divide(C,divide(inverse(B),D)))
% Current number of equations to process: 3810
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [386]
% divide(divide(inverse(divide(V_4,divide(C,B))),V_5),divide(D,V_5)) <->
% divide(inverse(divide(A,inverse(divide(B,C)))),divide(D,divide(A,V_4)))
% Current number of equations to process: 3809
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [387]
% divide(inverse(divide(A,inverse(divide(B,C)))),divide(D,divide(A,V_4))) <->
% divide(divide(inverse(divide(V_4,divide(C,B))),V_5),divide(D,V_5))
% Current number of equations to process: 3809
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [388]
% divide(A,divide(inverse(divide(B,inverse(divide(C,D)))),divide(V_4,V_5))) <->
% divide(divide(A,divide(V_5,V_4)),inverse(divide(B,divide(D,C))))
% Current number of equations to process: 3807
% Current number of ordered equations: 3
% Current number of rules: 203
% New rule produced :
% [389]
% divide(A,divide(divide(B,C),inverse(divide(D,inverse(divide(V_4,V_5)))))) <->
% divide(divide(A,divide(D,divide(V_5,V_4))),inverse(divide(C,B)))
% Current number of equations to process: 3807
% Current number of ordered equations: 2
% Current number of rules: 204
% New rule produced :
% [390]
% divide(divide(A,divide(V_5,V_4)),inverse(divide(B,divide(D,C)))) <->
% divide(A,divide(inverse(divide(B,inverse(divide(C,D)))),divide(V_4,V_5)))
% Current number of equations to process: 3807
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [391]
% divide(divide(A,divide(D,divide(V_5,V_4))),inverse(divide(C,B))) <->
% divide(A,divide(divide(B,C),inverse(divide(D,inverse(divide(V_4,V_5))))))
% Current number of equations to process: 3807
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [392]
% inverse(divide(A,divide(inverse(divide(B,C)),divide(D,B)))) <->
% divide(inverse(divide(V_4,inverse(divide(D,C)))),divide(A,V_4))
% Current number of equations to process: 3822
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [393]
% divide(inverse(divide(V_4,inverse(divide(D,C)))),divide(A,V_4)) <->
% inverse(divide(A,divide(inverse(divide(B,C)),divide(D,B))))
% Current number of equations to process: 3822
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [394]
% inverse(divide(inverse(divide(A,B)),divide(C,A))) <->
% divide(inverse(divide(D,inverse(divide(V_4,C)))),divide(inverse(divide(V_4,B)),D))
% Current number of equations to process: 3821
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [395]
% divide(inverse(divide(D,inverse(divide(V_4,C)))),divide(inverse(divide(V_4,B)),D))
% <-> inverse(divide(inverse(divide(A,B)),divide(C,A)))
% Current number of equations to process: 3821
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [396]
% divide(divide(A,B),divide(inverse(divide(C,inverse(divide(D,V_4)))),divide(B,C)))
% -> divide(A,divide(V_4,D))
% Current number of equations to process: 3836
% Current number of ordered equations: 0
% Current number of rules: 211
% Rule [154]
% divide(divide(D,V_4),divide(inverse(divide(V_5,C)),divide(divide(V_4,D),V_5)))
% <->
% divide(divide(A,B),divide(inverse(divide(a2,C)),divide(divide(B,A),a2))) is composed into 
% [154]
% divide(divide(D,V_4),divide(inverse(divide(V_5,C)),divide(divide(V_4,D),V_5)))
% <->
% divide(divide(A,B),divide(inverse(divide(a2,C)),inverse(divide(a2,divide(B,A)))))
% New rule produced :
% [397] divide(A,divide(V_4,D)) <-> divide(A,inverse(divide(D,V_4)))
% Rule
% [153]
% divide(divide(A,B),divide(inverse(divide(a2,C)),divide(divide(B,A),a2))) <->
% divide(divide(D,V_4),divide(inverse(divide(V_5,C)),divide(divide(V_4,D),V_5)))
% collapsed.
% Rule
% [350]
% divide(A,inverse(divide(B,divide(inverse(V_4),D)))) <->
% divide(A,inverse(divide(B,inverse(divide(D,inverse(V_4)))))) collapsed.
% Current number of equations to process: 3836
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [398] divide(A,inverse(divide(D,V_4))) <-> divide(A,divide(V_4,D))
% Rule
% [251]
% divide(A,inverse(divide(divide(B,divide(V_4,divide(D,C))),inverse(V_4)))) ->
% divide(A,inverse(divide(B,divide(C,D)))) collapsed.
% Rule [320] divide(A,inverse(divide(B,B))) -> A collapsed.
% Rule
% [351]
% divide(A,inverse(divide(B,inverse(divide(D,inverse(V_4)))))) <->
% divide(A,inverse(divide(B,divide(inverse(V_4),D)))) collapsed.
% Current number of equations to process: 3838
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [399] divide(A,divide(B,B)) -> A
% Rule [318] inverse(inverse(divide(A,divide(B,B)))) -> A collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 3838
% Current number of ordered equations: 0
% Current number of rules: 208
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 21 rules have been used:
% [1] 
% multiply(A,B) -> divide(A,inverse(B)); trace = in the starting set
% [2] divide(divide(inverse(divide(A,B)),divide(divide(C,D),A)),divide(D,C)) ->
% B; trace = in the starting set
% [4] divide(divide(inverse(A),divide(divide(B,C),divide(inverse(divide(D,A)),
% divide(divide(V_4,V_5),D)))),
% divide(C,B)) -> divide(V_5,V_4); trace = Self cp of 2
% [5] divide(divide(C,D),divide(inverse(V_4),divide(divide(D,C),divide(
% inverse(
% divide(V_5,V_4)),
% divide(
% divide(A,B),V_5)))))
% -> divide(A,B); trace = Self cp of 4
% [6] divide(divide(A,B),divide(inverse(C),divide(divide(B,A),divide(inverse(
% divide(D,C)),
% divide(V_4,D)))))
% -> V_4; trace = Cp of 5 and 2
% [7] divide(divide(divide(divide(divide(A,B),inverse(divide(B,C))),D),
% inverse(divide(D,V_4))),divide(inverse(C),V_4)) -> A; trace = Cp of 6 and 2
% [8] divide(divide(A,inverse(divide(divide(inverse(B),C),D))),divide(inverse(C),D))
% <-> divide(divide(A,V_4),inverse(divide(V_4,B))); trace = Self cp of 7
% [9] divide(divide(A,V_4),inverse(divide(V_4,B))) <->
% divide(divide(A,a2),inverse(divide(a2,B))); trace = Self cp of 7
% [11] divide(inverse(divide(A,B)),divide(C,A)) <->
% divide(divide(inverse(D),V_4),divide(C,inverse(divide(divide(inverse(B),D),V_4)))); trace = Cp of 8 and 4
% [12] divide(divide(inverse(D),V_4),divide(C,inverse(divide(divide(inverse(B),D),V_4))))
% <-> divide(inverse(divide(A,B)),divide(C,A)); trace = Cp of 8 and 4
% [15] divide(inverse(divide(C,A)),divide(B,C)) <->
% divide(inverse(divide(a2,A)),divide(B,a2)); trace = Cp of 9 and 4
% [20] divide(divide(A,B),inverse(divide(B,C))) <->
% divide(divide(A,D),inverse(divide(D,C))); trace = Cp of 11 and 4
% [44] divide(inverse(divide(divide(A,B),C)),D) <->
% divide(inverse(divide(a2,C)),divide(divide(inverse(divide(V_4,D)),
% divide(divide(B,A),V_4)),a2)); trace = Cp of 15 and 2
% [55] divide(inverse(divide(V_4,V_5)),divide(divide(C,divide(inverse(V_5),A)),V_4))
% <->
% divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))); trace = Cp of 20 and 12
% [56] divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B))))
% <-> inverse(divide(C,divide(V_5,divide(A,inverse(V_5))))); trace = Cp of 20 and 12
% [74] divide(divide(divide(A,B),C),inverse(divide(C,divide(divide(D,V_4),
% divide(B,A))))) ->
% divide(V_4,D); trace = Cp of 44 and 4
% [95] divide(divide(divide(inverse(A),B),divide(divide(C,D),inverse(divide(D,B)))),
% divide(divide(inverse(V_4),A),C)) -> V_4; trace = Cp of 55 and 2
% [155] divide(divide(V_4,V_5),divide(inverse(divide(V_6,D)),divide(divide(V_5,V_4),V_6)))
% <-> divide(divide(A,B),inverse(divide(divide(B,A),D))); trace = Cp of 74 and 2
% [162] divide(inverse(divide(A,divide(B,divide(C,inverse(B))))),divide(
% divide(
% inverse(D),C),A))
% -> D; trace = Cp of 95 and 56
% [199] divide(V_4,D) <->
% divide(divide(A,B),inverse(divide(divide(B,A),divide(D,V_4)))); trace = Cp of 44 and 4
% [399] divide(A,divide(B,B)) -> A; trace = Cp of 162 and 155
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 197.800000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------