TSTP Solution File: BOO073-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : BOO073-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n095.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 00:19:21 EDT 2014

% Result   : Timeout 300.03s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : BOO073-1 : TPTP v6.0.0. Released v2.6.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n095.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun  5 22:39:03 CDT 2014
% % CPUTime  : 300.03 
% Processing problem /tmp/CiME_29466_n095.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant;  inverse : 1;  add : 2;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(inverse(C),inverse(add(C,D)))))))) = C;
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% inverse lr_lex;
% add lr_lex;
% ";
% 
% let p1 = precedence F "
% add > inverse > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% inverse mul;
% add mul;
% ";
% 
% let p2 = precedence F "
% add > inverse > a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " add(add(a,b),c) = add(a,add(b,c));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { inverse(add(inverse(add(inverse(add(A,B)),C)),
% inverse(add(A,inverse(add(inverse(C),
% inverse(add(C,D))))))))
% = C } (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { add(add(a,b),c) = add(a,add(b,c)) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced :
% [1]
% inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(
% inverse(C),
% inverse(
% add(C,D))))))))
% -> C
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(A)),B)),A)),C)),
% inverse(A))),A)) -> inverse(A)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3] inverse(add(inverse(add(A,inverse(A))),A)) -> inverse(A)
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% inverse(add(inverse(A),inverse(add(A,inverse(add(inverse(A),inverse(add(A,B))))))))
% -> A
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] inverse(add(inverse(A),inverse(add(A,A)))) -> A
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% inverse(add(inverse(inverse(A)),inverse(add(inverse(A),inverse(add(inverse(
% inverse(A)),A))))))
% -> inverse(A)
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7] inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,C)))) -> C
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% inverse(add(inverse(add(inverse(add(inverse(add(inverse(A),A)),B)),inverse(A))),A))
% -> inverse(A)
% Current number of equations to process: 43
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [9]
% inverse(add(inverse(add(add(inverse(add(inverse(inverse(A)),B)),A),inverse(A))),A))
% -> inverse(A)
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% inverse(add(A,inverse(add(inverse(add(B,C)),inverse(add(B,A)))))) ->
% inverse(add(B,A))
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11]
% inverse(add(inverse(add(A,B)),inverse(add(inverse(add(inverse(add(C,D)),A)),B))))
% -> B
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12] inverse(add(inverse(add(A,B)),inverse(add(inverse(A),B)))) -> B
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% inverse(add(inverse(add(inverse(A),B)),inverse(add(inverse(add(A,inverse(A))),B))))
% -> B
% Current number of equations to process: 75
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced :
% [14]
% inverse(add(inverse(add(inverse(add(inverse(add(A,inverse(A))),B)),A)),
% inverse(A))) -> A
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% inverse(add(inverse(add(inverse(add(inverse(A),B)),inverse(add(A,A)))),A)) ->
% inverse(add(A,A))
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] inverse(add(inverse(inverse(A)),A)) -> inverse(A)
% Rule
% [6]
% inverse(add(inverse(inverse(A)),inverse(add(inverse(A),inverse(add(inverse(
% inverse(A)),A))))))
% -> inverse(A) collapsed.
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [17] inverse(add(inverse(add(add(inverse(A),A),inverse(A))),A)) -> inverse(A)
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [18]
% inverse(add(inverse(A),inverse(add(inverse(add(inverse(add(inverse(A),A)),B)),A))))
% -> A
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [19]
% inverse(add(inverse(A),inverse(add(add(inverse(add(inverse(inverse(A)),B)),A),A))))
% -> A
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [20] inverse(add(A,inverse(inverse(add(A,B))))) -> inverse(add(A,B))
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [21]
% inverse(add(A,inverse(add(B,inverse(add(inverse(B),A)))))) ->
% inverse(add(inverse(B),A))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [22] inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(B,C)))) -> C
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23]
% inverse(add(inverse(add(A,A)),inverse(add(inverse(add(inverse(A),B)),A)))) ->
% A
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [24]
% inverse(add(A,inverse(add(inverse(add(B,C)),inverse(add(C,A)))))) ->
% inverse(add(C,A))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25]
% inverse(add(inverse(A),inverse(add(A,inverse(add(inverse(A),inverse(add(B,A))))))))
% -> A
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26]
% inverse(add(A,inverse(add(inverse(add(inverse(add(A,inverse(A))),B)),
% inverse(A))))) -> inverse(A)
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27]
% inverse(add(inverse(add(inverse(add(A,inverse(add(inverse(B),B)))),inverse(B))),B))
% -> inverse(B)
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28]
% inverse(add(inverse(add(add(inverse(add(A,inverse(inverse(B)))),B),inverse(B))),B))
% -> inverse(B)
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29] inverse(add(inverse(add(A,B)),inverse(add(inverse(add(C,A)),B)))) -> B
% Rule
% [11]
% inverse(add(inverse(add(A,B)),inverse(add(inverse(add(inverse(add(C,D)),A)),B))))
% -> B collapsed.
% Rule
% [13]
% inverse(add(inverse(add(inverse(A),B)),inverse(add(inverse(add(A,inverse(A))),B))))
% -> B collapsed.
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [30] inverse(add(inverse(add(add(A,inverse(A)),A)),inverse(A))) -> A
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [31] inverse(add(inverse(add(A,inverse(add(A,A)))),A)) -> inverse(add(A,A))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [32]
% inverse(add(inverse(A),inverse(add(inverse(inverse(add(A,inverse(A)))),A))))
% -> A
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [33]
% inverse(add(A,inverse(add(inverse(inverse(A)),inverse(add(A,A)))))) ->
% inverse(add(A,A))
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [34]
% inverse(add(inverse(add(add(A,B),inverse(add(inverse(A),B)))),B)) ->
% inverse(add(inverse(A),B))
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [35]
% inverse(add(inverse(add(add(inverse(A),inverse(add(A,A))),B)),inverse(
% add(A,B)))) ->
% B
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [36]
% inverse(add(A,inverse(add(B,inverse(add(inverse(add(C,B)),A)))))) ->
% inverse(add(inverse(add(C,B)),A))
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [37]
% inverse(add(inverse(add(add(inverse(add(A,B)),C),inverse(add(A,C)))),C)) ->
% inverse(add(A,C))
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [38]
% inverse(add(inverse(add(add(inverse(add(A,inverse(A))),A),B)),inverse(
% add(inverse(A),B))))
% -> B
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [39]
% inverse(add(inverse(add(inverse(A),B)),inverse(add(inverse(add(inverse(
% add(A,B)),C)),B))))
% -> B
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [40]
% inverse(add(A,inverse(add(inverse(inverse(add(B,A))),inverse(add(inverse(B),A))))))
% -> inverse(add(inverse(B),A))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [41] inverse(add(inverse(add(inverse(A),A)),inverse(A))) -> A
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [42]
% inverse(add(inverse(add(inverse(add(A,inverse(add(B,inverse(B))))),B)),
% inverse(B))) -> B
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [43]
% inverse(add(inverse(add(add(inverse(add(inverse(add(A,inverse(A))),B)),A),
% inverse(A))),A)) -> inverse(A)
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [44] inverse(add(inverse(A),add(inverse(A),inverse(add(A,A))))) -> A
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [45]
% inverse(add(inverse(inverse(A)),add(inverse(inverse(A)),A))) -> inverse(A)
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [46]
% inverse(add(inverse(A),inverse(add(inverse(inverse(inverse(A))),A)))) -> A
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [47]
% inverse(add(inverse(inverse(A)),add(inverse(add(A,inverse(A))),A))) ->
% inverse(A)
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [48]
% inverse(add(inverse(add(inverse(add(inverse(inverse(A)),B)),A)),inverse(A)))
% -> A
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [49]
% inverse(add(A,inverse(add(inverse(add(inverse(inverse(A)),B)),inverse(A)))))
% -> inverse(A)
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [50]
% inverse(add(inverse(A),add(inverse(add(B,A)),inverse(add(inverse(B),A))))) ->
% A
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [51]
% inverse(add(inverse(add(add(inverse(inverse(A)),A),B)),inverse(add(inverse(A),B))))
% -> B
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [52]
% inverse(add(inverse(add(inverse(add(A,inverse(B))),inverse(add(B,B)))),B)) ->
% inverse(add(B,B))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [53] inverse(add(inverse(A),inverse(add(add(inverse(A),A),A)))) -> A
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [54]
% inverse(add(inverse(add(add(add(inverse(A),A),inverse(A)),A)),inverse(A))) ->
% A
% Current number of equations to process: 303
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [55]
% inverse(add(inverse(inverse(A)),add(inverse(add(add(inverse(A),A),inverse(A))),A)))
% -> inverse(A)
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [56]
% inverse(add(inverse(A),add(inverse(add(inverse(add(B,C)),A)),inverse(
% add(B,A))))) ->
% A
% Current number of equations to process: 301
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [57]
% inverse(add(inverse(A),inverse(add(inverse(inverse(add(add(inverse(A),A),
% inverse(A)))),A)))) -> A
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [58]
% inverse(add(inverse(add(add(inverse(inverse(A)),A),inverse(A))),add(inverse(
% inverse(A)),A)))
% -> inverse(A)
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [59]
% inverse(add(inverse(A),inverse(add(inverse(add(B,inverse(add(inverse(A),A)))),A))))
% -> A
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [60]
% inverse(add(inverse(A),inverse(add(add(inverse(add(B,inverse(inverse(A)))),A),A))))
% -> A
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [61] inverse(add(inverse(A),inverse(A))) -> A
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [62] inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(C))) -> C
% Rule
% [14]
% inverse(add(inverse(add(inverse(add(inverse(add(A,inverse(A))),B)),A)),
% inverse(A))) -> A collapsed.
% Rule
% [42]
% inverse(add(inverse(add(inverse(add(A,inverse(add(B,inverse(B))))),B)),
% inverse(B))) -> B collapsed.
% Rule
% [48]
% inverse(add(inverse(add(inverse(add(inverse(inverse(A)),B)),A)),inverse(A)))
% -> A collapsed.
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [63]
% inverse(add(inverse(add(A,inverse(A))),inverse(inverse(A)))) -> inverse(A)
% Current number of equations to process: 372
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [64] inverse(add(A,inverse(inverse(add(B,A))))) -> inverse(add(B,A))
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [65] inverse(add(inverse(add(A,B)),inverse(B))) -> B
% Rule [30] inverse(add(inverse(add(add(A,inverse(A)),A)),inverse(A))) -> A
% collapsed.
% Rule [41] inverse(add(inverse(add(inverse(A),A)),inverse(A))) -> A collapsed.
% Rule
% [54]
% inverse(add(inverse(add(add(add(inverse(A),A),inverse(A)),A)),inverse(A))) ->
% A collapsed.
% Rule [62] inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(C))) -> C
% collapsed.
% Rule
% [63]
% inverse(add(inverse(add(A,inverse(A))),inverse(inverse(A)))) -> inverse(A)
% collapsed.
% Current number of equations to process: 382
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [66] add(A,A) -> A
% Rule [5] inverse(add(inverse(A),inverse(add(A,A)))) -> A collapsed.
% Rule
% [15]
% inverse(add(inverse(add(inverse(add(inverse(A),B)),inverse(add(A,A)))),A)) ->
% inverse(add(A,A)) collapsed.
% Rule
% [23]
% inverse(add(inverse(add(A,A)),inverse(add(inverse(add(inverse(A),B)),A)))) ->
% A collapsed.
% Rule
% [31] inverse(add(inverse(add(A,inverse(add(A,A)))),A)) -> inverse(add(A,A))
% collapsed.
% Rule
% [33]
% inverse(add(A,inverse(add(inverse(inverse(A)),inverse(add(A,A)))))) ->
% inverse(add(A,A)) collapsed.
% Rule
% [35]
% inverse(add(inverse(add(add(inverse(A),inverse(add(A,A))),B)),inverse(
% add(A,B)))) ->
% B collapsed.
% Rule [44] inverse(add(inverse(A),add(inverse(A),inverse(add(A,A))))) -> A
% collapsed.
% Rule
% [52]
% inverse(add(inverse(add(inverse(add(A,inverse(B))),inverse(add(B,B)))),B)) ->
% inverse(add(B,B)) collapsed.
% Rule [61] inverse(add(inverse(A),inverse(A))) -> A collapsed.
% Current number of equations to process: 395
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [67] inverse(inverse(A)) -> A
% Rule
% [2]
% inverse(add(inverse(add(inverse(add(inverse(add(inverse(add(inverse(inverse(A)),B)),A)),C)),
% inverse(A))),A)) -> inverse(A) collapsed.
% Rule
% [9]
% inverse(add(inverse(add(add(inverse(add(inverse(inverse(A)),B)),A),inverse(A))),A))
% -> inverse(A) collapsed.
% Rule [16] inverse(add(inverse(inverse(A)),A)) -> inverse(A) collapsed.
% Rule
% [19]
% inverse(add(inverse(A),inverse(add(add(inverse(add(inverse(inverse(A)),B)),A),A))))
% -> A collapsed.
% Rule [20] inverse(add(A,inverse(inverse(add(A,B))))) -> inverse(add(A,B))
% collapsed.
% Rule
% [28]
% inverse(add(inverse(add(add(inverse(add(A,inverse(inverse(B)))),B),inverse(B))),B))
% -> inverse(B) collapsed.
% Rule
% [32]
% inverse(add(inverse(A),inverse(add(inverse(inverse(add(A,inverse(A)))),A))))
% -> A collapsed.
% Rule
% [40]
% inverse(add(A,inverse(add(inverse(inverse(add(B,A))),inverse(add(inverse(B),A))))))
% -> inverse(add(inverse(B),A)) collapsed.
% Rule
% [45]
% inverse(add(inverse(inverse(A)),add(inverse(inverse(A)),A))) -> inverse(A)
% collapsed.
% Rule
% [46]
% inverse(add(inverse(A),inverse(add(inverse(inverse(inverse(A))),A)))) -> A
% collapsed.
% Rule
% [47]
% inverse(add(inverse(inverse(A)),add(inverse(add(A,inverse(A))),A))) ->
% inverse(A) collapsed.
% Rule
% [49]
% inverse(add(A,inverse(add(inverse(add(inverse(inverse(A)),B)),inverse(A)))))
% -> inverse(A) collapsed.
% Rule
% [51]
% inverse(add(inverse(add(add(inverse(inverse(A)),A),B)),inverse(add(inverse(A),B))))
% -> B collapsed.
% Rule
% [55]
% inverse(add(inverse(inverse(A)),add(inverse(add(add(inverse(A),A),inverse(A))),A)))
% -> inverse(A) collapsed.
% Rule
% [57]
% inverse(add(inverse(A),inverse(add(inverse(inverse(add(add(inverse(A),A),
% inverse(A)))),A)))) -> A
% collapsed.
% Rule
% [58]
% inverse(add(inverse(add(add(inverse(inverse(A)),A),inverse(A))),add(inverse(
% inverse(A)),A)))
% -> inverse(A) collapsed.
% Rule
% [60]
% inverse(add(inverse(A),inverse(add(add(inverse(add(B,inverse(inverse(A)))),A),A))))
% -> A collapsed.
% Rule [64] inverse(add(A,inverse(inverse(add(B,A))))) -> inverse(add(B,A))
% collapsed.
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [68] inverse(add(A,add(A,B))) -> inverse(add(A,B))
% Current number of equations to process: 407
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [69] inverse(add(A,add(B,A))) -> inverse(add(B,A))
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [70] inverse(add(inverse(A),inverse(add(inverse(A),A)))) -> A
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [71] inverse(add(A,inverse(add(A,inverse(A))))) -> inverse(A)
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [72] inverse(add(inverse(A),inverse(add(add(A,inverse(A)),A)))) -> A
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [73] inverse(add(inverse(add(inverse(A),B)),inverse(add(A,B)))) -> B
% Current number of equations to process: 401
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [74] inverse(add(A,inverse(add(inverse(add(A,B)),inverse(A))))) -> inverse(A)
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [75] inverse(add(inverse(A),inverse(add(inverse(add(inverse(A),B)),A)))) -> A
% Current number of equations to process: 399
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [76]
% inverse(add(inverse(add(inverse(add(inverse(A),B)),inverse(A))),A)) ->
% inverse(A)
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [77]
% inverse(add(inverse(add(inverse(add(A,inverse(B))),inverse(B))),B)) ->
% inverse(B)
% Current number of equations to process: 397
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [78] inverse(add(inverse(A),inverse(add(add(inverse(add(A,B)),A),A)))) -> A
% Current number of equations to process: 396
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [79] inverse(add(inverse(A),inverse(add(add(inverse(add(B,A)),A),A)))) -> A
% Current number of equations to process: 395
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [80]
% inverse(add(inverse(add(add(inverse(add(A,B)),A),inverse(A))),A)) ->
% inverse(A)
% Current number of equations to process: 394
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [81]
% inverse(add(inverse(add(add(inverse(add(A,B)),B),inverse(B))),B)) ->
% inverse(B)
% Current number of equations to process: 393
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [82]
% inverse(add(inverse(A),inverse(add(add(add(inverse(A),A),inverse(A)),A)))) ->
% A
% Current number of equations to process: 391
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [83]
% inverse(add(A,inverse(add(add(B,A),inverse(add(inverse(B),A)))))) ->
% inverse(add(inverse(B),A))
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [84] inverse(add(A,inverse(add(add(A,inverse(A)),inverse(A))))) -> inverse(A)
% Current number of equations to process: 397
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [85] inverse(add(inverse(add(inverse(A),B)),inverse(add(add(A,B),B)))) -> B
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [86]
% inverse(add(A,inverse(add(inverse(A),inverse(add(A,B)))))) ->
% add(inverse(A),inverse(add(A,B)))
% Rule
% [4]
% inverse(add(inverse(A),inverse(add(A,inverse(add(inverse(A),inverse(add(A,B))))))))
% -> A collapsed.
% Current number of equations to process: 422
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [87] inverse(add(inverse(A),inverse(add(A,B)))) -> A
% Rule
% [1]
% inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,inverse(add(
% inverse(C),
% inverse(
% add(C,D))))))))
% -> C collapsed.
% Rule
% [25]
% inverse(add(inverse(A),inverse(add(A,inverse(add(inverse(A),inverse(add(B,A))))))))
% -> A collapsed.
% Rule
% [86]
% inverse(add(A,inverse(add(inverse(A),inverse(add(A,B)))))) ->
% add(inverse(A),inverse(add(A,B))) collapsed.
% Current number of equations to process: 422
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [88] add(inverse(A),inverse(add(A,B))) -> inverse(A)
% Rule [87] inverse(add(inverse(A),inverse(add(A,B)))) -> A collapsed.
% Current number of equations to process: 421
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [89] inverse(add(A,inverse(add(A,inverse(add(B,A)))))) -> inverse(add(B,A))
% Current number of equations to process: 424
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [90] inverse(add(A,B)) <-> inverse(add(B,A))
% Rule [3] inverse(add(inverse(add(A,inverse(A))),A)) -> inverse(A) collapsed.
% Rule
% [7] inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(A,C)))) -> C
% collapsed.
% Rule
% [8]
% inverse(add(inverse(add(inverse(add(inverse(add(inverse(A),A)),B)),inverse(A))),A))
% -> inverse(A) collapsed.
% Rule
% [17] inverse(add(inverse(add(add(inverse(A),A),inverse(A))),A)) -> inverse(A)
% collapsed.
% Rule
% [18]
% inverse(add(inverse(A),inverse(add(inverse(add(inverse(add(inverse(A),A)),B)),A))))
% -> A collapsed.
% Rule
% [22] inverse(add(inverse(add(inverse(add(A,B)),C)),inverse(add(B,C)))) -> C
% collapsed.
% Rule
% [26]
% inverse(add(A,inverse(add(inverse(add(inverse(add(A,inverse(A))),B)),
% inverse(A))))) -> inverse(A) collapsed.
% Rule
% [27]
% inverse(add(inverse(add(inverse(add(A,inverse(add(inverse(B),B)))),inverse(B))),B))
% -> inverse(B) collapsed.
% Rule
% [34]
% inverse(add(inverse(add(add(A,B),inverse(add(inverse(A),B)))),B)) ->
% inverse(add(inverse(A),B)) collapsed.
% Rule
% [37]
% inverse(add(inverse(add(add(inverse(add(A,B)),C),inverse(add(A,C)))),C)) ->
% inverse(add(A,C)) collapsed.
% Rule
% [38]
% inverse(add(inverse(add(add(inverse(add(A,inverse(A))),A),B)),inverse(
% add(inverse(A),B))))
% -> B collapsed.
% Rule
% [39]
% inverse(add(inverse(add(inverse(A),B)),inverse(add(inverse(add(inverse(
% add(A,B)),C)),B))))
% -> B collapsed.
% Rule
% [43]
% inverse(add(inverse(add(add(inverse(add(inverse(add(A,inverse(A))),B)),A),
% inverse(A))),A)) -> inverse(A) collapsed.
% Rule [53] inverse(add(inverse(A),inverse(add(add(inverse(A),A),A)))) -> A
% collapsed.
% Rule
% [59]
% inverse(add(inverse(A),inverse(add(inverse(add(B,inverse(add(inverse(A),A)))),A))))
% -> A collapsed.
% Rule [65] inverse(add(inverse(add(A,B)),inverse(B))) -> B collapsed.
% Rule [70] inverse(add(inverse(A),inverse(add(inverse(A),A)))) -> A collapsed.
% Rule [72] inverse(add(inverse(A),inverse(add(add(A,inverse(A)),A)))) -> A
% collapsed.
% Rule [73] inverse(add(inverse(add(inverse(A),B)),inverse(add(A,B)))) -> B
% collapsed.
% Rule
% [74] inverse(add(A,inverse(add(inverse(add(A,B)),inverse(A))))) -> inverse(A)
% collapsed.
% Rule
% [75] inverse(add(inverse(A),inverse(add(inverse(add(inverse(A),B)),A)))) -> A
% collapsed.
% Rule
% [76]
% inverse(add(inverse(add(inverse(add(inverse(A),B)),inverse(A))),A)) ->
% inverse(A) collapsed.
% Rule
% [77]
% inverse(add(inverse(add(inverse(add(A,inverse(B))),inverse(B))),B)) ->
% inverse(B) collapsed.
% Rule
% [78] inverse(add(inverse(A),inverse(add(add(inverse(add(A,B)),A),A)))) -> A
% collapsed.
% Rule
% [79] inverse(add(inverse(A),inverse(add(add(inverse(add(B,A)),A),A)))) -> A
% collapsed.
% Rule
% [80]
% inverse(add(inverse(add(add(inverse(add(A,B)),A),inverse(A))),A)) ->
% inverse(A) collapsed.
% Rule
% [81]
% inverse(add(inverse(add(add(inverse(add(A,B)),B),inverse(B))),B)) ->
% inverse(B) collapsed.
% Rule
% [82]
% inverse(add(inverse(A),inverse(add(add(add(inverse(A),A),inverse(A)),A)))) ->
% A collapsed.
% Rule
% [84] inverse(add(A,inverse(add(add(A,inverse(A)),inverse(A))))) -> inverse(A)
% collapsed.
% Rule
% [85] inverse(add(inverse(add(inverse(A),B)),inverse(add(add(A,B),B)))) -> B
% collapsed.
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [91] inverse(add(inverse(B),inverse(add(A,B)))) -> B
% Current number of equations to process: 454
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [92]
% inverse(add(A,inverse(add(inverse(A),inverse(add(inverse(A),B)))))) ->
% inverse(A)
% Current number of equations to process: 453
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [93]
% inverse(add(B,inverse(add(inverse(B),inverse(add(A,inverse(B))))))) ->
% inverse(B)
% Current number of equations to process: 452
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [94] inverse(add(inverse(add(A,C)),inverse(add(inverse(add(A,B)),C)))) -> C
% Current number of equations to process: 451
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [95]
% inverse(add(A,inverse(add(inverse(A),add(inverse(add(A,B)),A))))) ->
% inverse(A)
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [96]
% inverse(add(B,inverse(add(inverse(B),add(inverse(add(A,B)),B))))) ->
% inverse(B)
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [97]
% inverse(add(A,inverse(add(inverse(A),inverse(add(inverse(add(A,inverse(A))),B))))))
% -> inverse(A)
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [98]
% inverse(add(B,inverse(add(inverse(B),inverse(add(A,inverse(add(B,inverse(B)))))))))
% -> inverse(B)
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [99] add(inverse(add(B,A)),inverse(add(inverse(B),A))) -> inverse(A)
% Rule [12] inverse(add(inverse(add(A,B)),inverse(add(inverse(A),B)))) -> B
% collapsed.
% Rule
% [50]
% inverse(add(inverse(A),add(inverse(add(B,A)),inverse(add(inverse(B),A))))) ->
% A collapsed.
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [100] add(B,inverse(add(A,inverse(add(inverse(A),B))))) -> add(inverse(A),B)
% Rule
% [21]
% inverse(add(A,inverse(add(B,inverse(add(inverse(B),A)))))) ->
% inverse(add(inverse(B),A)) collapsed.
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [101] add(A,add(A,B)) -> add(A,B)
% Rule [68] inverse(add(A,add(A,B))) -> inverse(add(A,B)) collapsed.
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [102] add(B,add(A,B)) -> add(A,B)
% Rule [69] inverse(add(A,add(B,A))) -> inverse(add(B,A)) collapsed.
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [103] add(inverse(add(B,A)),inverse(add(inverse(add(C,B)),A))) -> inverse(A)
% Rule
% [29] inverse(add(inverse(add(A,B)),inverse(add(inverse(add(C,A)),B)))) -> B
% collapsed.
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [104] add(B,inverse(add(inverse(add(A,C)),inverse(add(A,B))))) -> add(A,B)
% Rule
% [10]
% inverse(add(A,inverse(add(inverse(add(B,C)),inverse(add(B,A)))))) ->
% inverse(add(B,A)) collapsed.
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [105] add(B,inverse(add(inverse(add(C,A)),inverse(add(A,B))))) -> add(A,B)
% Rule
% [24]
% inverse(add(A,inverse(add(inverse(add(B,C)),inverse(add(C,A)))))) ->
% inverse(add(C,A)) collapsed.
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [106] add(A,inverse(add(A,inverse(A)))) -> A
% Rule [71] inverse(add(A,inverse(add(A,inverse(A))))) -> inverse(A) collapsed.
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [107]
% inverse(add(add(A,B),inverse(add(B,inverse(add(A,B)))))) -> inverse(add(A,B))
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [108]
% inverse(add(add(A,B),inverse(add(A,inverse(add(A,B)))))) -> inverse(add(A,B))
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [109]
% inverse(add(inverse(A),add(inverse(add(inverse(B),A)),inverse(add(B,A))))) ->
% A
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [110]
% add(C,inverse(add(B,inverse(add(inverse(add(A,B)),C))))) ->
% add(inverse(add(A,B)),C)
% Rule
% [36]
% inverse(add(A,inverse(add(B,inverse(add(inverse(add(C,B)),A)))))) ->
% inverse(add(inverse(add(C,B)),A)) collapsed.
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [111]
% add(B,inverse(add(add(A,B),inverse(add(inverse(A),B))))) -> add(inverse(A),B)
% Rule
% [83]
% inverse(add(A,inverse(add(add(B,A),inverse(add(inverse(B),A)))))) ->
% inverse(add(inverse(B),A)) collapsed.
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [112] add(A,inverse(add(inverse(A),B))) -> A
% Rule
% [92]
% inverse(add(A,inverse(add(inverse(A),inverse(add(inverse(A),B)))))) ->
% inverse(A) collapsed.
% Rule
% [93]
% inverse(add(B,inverse(add(inverse(B),inverse(add(A,inverse(B))))))) ->
% inverse(B) collapsed.
% Rule
% [95]
% inverse(add(A,inverse(add(inverse(A),add(inverse(add(A,B)),A))))) ->
% inverse(A) collapsed.
% Rule
% [96]
% inverse(add(B,inverse(add(inverse(B),add(inverse(add(A,B)),B))))) ->
% inverse(B) collapsed.
% Rule
% [97]
% inverse(add(A,inverse(add(inverse(A),inverse(add(inverse(add(A,inverse(A))),B))))))
% -> inverse(A) collapsed.
% Rule
% [98]
% inverse(add(B,inverse(add(inverse(B),inverse(add(A,inverse(add(B,inverse(B)))))))))
% -> inverse(B) collapsed.
% Rule
% [100] add(B,inverse(add(A,inverse(add(inverse(A),B))))) -> add(inverse(A),B)
% collapsed.
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [113] add(B,inverse(A)) <-> add(inverse(A),B)
% Rule
% [56]
% inverse(add(inverse(A),add(inverse(add(inverse(add(B,C)),A)),inverse(
% add(B,A))))) ->
% A collapsed.
% Rule
% [109]
% inverse(add(inverse(A),add(inverse(add(inverse(B),A)),inverse(add(B,A))))) ->
% A collapsed.
% Current number of equations to process: 579
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced : [114] add(inverse(A),B) <-> add(B,inverse(A))
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 21
% add(A,B) = add(B,A) (birth = 498, lhs_size = 3, rhs_size = 3,trace = Cp of 90 and 67)
% Initializing completion ...
% New rule produced : [1] A <-> inverse(inverse(A))
% Current number of equations to process: 523
% Current number of ordered equations: 35
% Current number of rules: 1
% New rule produced : [2] A <-> A add A
% Current number of equations to process: 523
% Current number of ordered equations: 34
% Current number of rules: 2
% New rule produced : [3] inverse(inverse(A)) <-> A
% Current number of equations to process: 523
% Current number of ordered equations: 33
% Current number of rules: 3
% New rule produced : [4] A add A <-> A
% Current number of equations to process: 523
% Current number of ordered equations: 32
% Current number of rules: 4
% New rule produced : [5] A add B <-> (A add B) add A
% Current number of equations to process: 526
% Current number of ordered equations: 37
% Current number of rules: 5
% New rule produced : [6] A add B <-> (A add B) add B
% Current number of equations to process: 526
% Current number of ordered equations: 36
% Current number of rules: 6
% New rule produced : [7] (A add B) add A <-> A add B
% Current number of equations to process: 526
% Current number of ordered equations: 35
% Current number of rules: 7
% New rule produced : [8] (A add B) add B <-> A add B
% Current number of equations to process: 526
% Current number of ordered equations: 34
% Current number of rules: 8
% New rule produced : [9] A <-> inverse(inverse(A) add B) add A
% Current number of equations to process: 554
% Current number of ordered equations: 36
% Current number of rules: 9
% New rule produced : [10] inverse(inverse(A) add B) add A <-> A
% Current number of equations to process: 554
% Current number of ordered equations: 32
% Current number of rules: 10
% New rule produced : [11] inverse(A) <-> inverse(A add B) add inverse(A)
% Current number of equations to process: 573
% Current number of ordered equations: 47
% Current number of rules: 11
% New rule produced : [12] inverse(A add B) add inverse(A) <-> inverse(A)
% Current number of equations to process: 573
% Current number of ordered equations: 46
% Current number of rules: 12
% New rule produced : [13] B <-> inverse(inverse(A add B) add inverse(B))
% Current number of equations to process: 601
% Current number of ordered equations: 47
% Current number of rules: 13
% New rule produced : [14] inverse(inverse(A add B) add inverse(B)) <-> B
% Current number of equations to process: 601
% Current number of ordered equations: 46
% Current number of rules: 14
% New rule produced :
% [15] inverse(A) <-> inverse(inverse(B) add A) add inverse(A add B)
% Current number of equations to process: 602
% Current number of ordered equations: 157
% Current number of rules: 15
% New rule produced :
% [16] inverse(inverse(B) add A) add inverse(A add B) <-> inverse(A)
% Current number of equations to process: 602
% Current number of ordered equations: 156
% Current number of rules: 16
% New rule produced :
% [17] inverse(A add B) <-> inverse(inverse(inverse(A add B) add A) add A)
% Current number of equations to process: 658
% Current number of ordered equations: 187
% Current number of rules: 17
% New rule produced :
% [18] inverse(inverse(inverse(A add B) add A) add A) <-> inverse(A add B)
% Current number of equations to process: 658
% Current number of ordered equations: 186
% Current number of rules: 18
% New rule produced :
% [19] inverse(A) <-> inverse(inverse(B add C) add A) add inverse(A add B)
% Current number of equations to process: 740
% Current number of ordered equations: 231
% Current number of rules: 19
% New rule produced :
% [20] inverse(inverse(B add C) add A) add inverse(A add B) <-> inverse(A)
% Current number of equations to process: 740
% Current number of ordered equations: 230
% Current number of rules: 20
% New rule produced :
% [21] C <-> inverse(inverse(inverse(A add B) add C) add inverse(A add C))
% Current number of equations to process: 831
% Current number of ordered equations: 281
% Current number of rules: 21
% New rule produced :
% [22] inverse(inverse(inverse(A add B) add C) add inverse(A add C)) <-> C
% Current number of equations to process: 831
% Current number of ordered equations: 280
% Current number of rules: 22
% New rule produced :
% [23] A add B <-> inverse(inverse(A add B) add inverse(A add C)) add B
% Current number of equations to process: 831
% Current number of ordered equations: 279
% Current number of rules: 23
% New rule produced :
% [24] inverse(inverse(A add B) add inverse(A add C)) add B <-> A add B
% Current number of equations to process: 831
% Current number of ordered equations: 278
% Current number of rules: 24
% New rule produced :
% [25]
% inverse(A) add B <-> inverse(inverse(inverse(A) add B) add (A add B)) add B
% Current number of equations to process: 1143
% Current number of ordered equations: 337
% Current number of rules: 25
% New rule produced :
% [26]
% inverse(inverse(inverse(A) add B) add (A add B)) add B <-> inverse(A) add B
% Current number of equations to process: 1143
% Current number of ordered equations: 336
% Current number of rules: 26
% New rule produced :
% [27]
% inverse(A add B) add C <->
% inverse(inverse(inverse(A add B) add C) add B) add C
% Current number of equations to process: 1292
% Current number of ordered equations: 431
% Current number of rules: 27
% New rule produced :
% [28]
% inverse(inverse(inverse(A add B) add C) add B) add C <->
% inverse(A add B) add C
% Current number of equations to process: 1292
% Current number of ordered equations: 430
% Current number of rules: 28
% New rule produced :
% [29]
% C <->
% inverse(inverse(inverse(inverse(C add D) add inverse(C)) add A) add inverse(
% inverse(
% A add B) add C))
% Current number of equations to process: 1097
% Current number of ordered equations: 1357
% Current number of rules: 29
% New rule produced :
% [30]
% inverse(inverse(inverse(inverse(C add D) add inverse(C)) add A) add inverse(
% inverse(
% A add B) add C))
% <-> C
% Current number of equations to process: 1097
% Current number of ordered equations: 1356
% Current number of rules: 30
% New rule produced : [31] inverse(inverse(A)) <-> A add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1355
% Current number of rules: 31
% New rule produced : [32] A add A <-> inverse(inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1354
% Current number of rules: 32
% New rule produced : [33] A <-> inverse(inverse(inverse(inverse(A))))
% Current number of equations to process: 1097
% Current number of ordered equations: 1353
% Current number of rules: 33
% New rule produced : [34] inverse(inverse(inverse(inverse(A)))) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1352
% Current number of rules: 34
% New rule produced : [35] A <-> inverse(inverse(A add A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1351
% Current number of rules: 35
% New rule produced : [36] inverse(inverse(A add A)) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1350
% Current number of rules: 36
% New rule produced : [37] A <-> (A add A) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1348
% Current number of rules: 37
% New rule produced : [38] (A add A) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1346
% Current number of rules: 38
% New rule produced : [39] A <-> inverse(inverse(A)) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1343
% Current number of rules: 39
% New rule produced : [40] inverse(inverse(A)) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1340
% Current number of rules: 40
% New rule produced : [41] A <-> inverse(inverse(A) add inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1335
% Current number of rules: 41
% New rule produced : [42] inverse(inverse(A) add inverse(A)) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1330
% Current number of rules: 42
% New rule produced : [43] inverse(inverse(A)) <-> inverse(inverse(A)) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1329
% Current number of rules: 43
% New rule produced : [44] inverse(inverse(A)) add A <-> inverse(inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1328
% Current number of rules: 44
% New rule produced : [45] A <-> inverse(inverse(A)) add inverse(inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1327
% Current number of rules: 45
% New rule produced : [46] inverse(inverse(A)) add inverse(inverse(A)) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1326
% Current number of rules: 46
% New rule produced : [47] A <-> (A add A) add (A add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1325
% Current number of rules: 47
% New rule produced : [48] (A add A) add (A add A) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1324
% Current number of rules: 48
% New rule produced : [49] (A add B) add A <-> (A add B) add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1318
% Current number of rules: 49
% New rule produced : [50] inverse(inverse(A add B)) <-> (A add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1317
% Current number of rules: 50
% New rule produced : [51] (A add B) add A <-> inverse(inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1316
% Current number of rules: 51
% New rule produced : [52] inverse(inverse(A add B)) <-> (A add B) add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1315
% Current number of rules: 52
% New rule produced : [53] (A add B) add B <-> inverse(inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1314
% Current number of rules: 53
% New rule produced : [54] inverse(inverse((A add B) add A)) <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1313
% Current number of rules: 54
% New rule produced : [55] A add B <-> inverse(inverse((A add B) add A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1312
% Current number of rules: 55
% New rule produced : [56] A add B <-> inverse(inverse(A add B)) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1308
% Current number of rules: 56
% New rule produced : [57] inverse(inverse(A add B)) add A <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1304
% Current number of rules: 57
% New rule produced : [58] A add B <-> ((A add B) add A) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1301
% Current number of rules: 58
% New rule produced : [59] A add B <-> ((A add B) add A) add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1299
% Current number of rules: 59
% New rule produced : [60] ((A add B) add A) add A <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1296
% Current number of rules: 60
% New rule produced : [61] ((A add B) add A) add B <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1294
% Current number of rules: 61
% New rule produced : [62] A add B <-> ((A add B) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1292
% Current number of rules: 62
% New rule produced : [63] A add B <-> ((A add B) add B) add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1290
% Current number of rules: 63
% New rule produced : [64] ((A add B) add B) add A <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1288
% Current number of rules: 64
% New rule produced : [65] ((A add B) add B) add B <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1286
% Current number of rules: 65
% New rule produced : [66] inverse(inverse((A add B) add B)) <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1285
% Current number of rules: 66
% New rule produced : [67] A add B <-> inverse(inverse((A add B) add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1284
% Current number of rules: 67
% New rule produced : [68] A add B <-> inverse(inverse(A add B)) add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1276
% Current number of rules: 68
% New rule produced : [69] inverse(inverse(A add B)) add B <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1268
% Current number of rules: 69
% New rule produced :
% [70] inverse(inverse(A)) <-> inverse(inverse(A) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1261
% Current number of rules: 70
% New rule produced :
% [71] inverse(inverse(A) add B) add A <-> inverse(inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1254
% Current number of rules: 71
% New rule produced : [72] A add A <-> inverse(inverse(A) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1249
% Current number of rules: 72
% New rule produced : [73] inverse(inverse(A) add B) add A <-> A add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1244
% Current number of rules: 73
% New rule produced : [74] A add B <-> inverse(inverse(A)) add (A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1241
% Current number of rules: 74
% New rule produced : [75] inverse(inverse(A)) add (A add B) <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1238
% Current number of rules: 75
% New rule produced :
% [76] inverse(inverse(inverse(A))) <-> inverse(A add B) add inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1237
% Current number of rules: 76
% New rule produced :
% [77] inverse(A add B) add inverse(A) <-> inverse(inverse(inverse(A)))
% Current number of equations to process: 1097
% Current number of ordered equations: 1236
% Current number of rules: 77
% New rule produced : [78] (A add B) add A <-> (A add B) add (A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1233
% Current number of rules: 78
% New rule produced : [79] (A add B) add (A add B) <-> (A add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1230
% Current number of rules: 79
% New rule produced : [80] (A add B) add B <-> (A add B) add (A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1228
% Current number of rules: 80
% New rule produced : [81] (A add B) add (A add B) <-> (A add B) add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1226
% Current number of rules: 81
% New rule produced :
% [82] A <-> inverse(inverse(inverse(inverse(A) add B) add A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1225
% Current number of rules: 82
% New rule produced :
% [83] A <-> inverse(inverse(inverse(inverse(A) add B))) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1224
% Current number of rules: 83
% New rule produced :
% [84] A <-> inverse(inverse(inverse(inverse(A))) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1223
% Current number of rules: 84
% New rule produced :
% [85] inverse(inverse(inverse(inverse(A) add B) add A)) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1222
% Current number of rules: 85
% New rule produced :
% [86] inverse(inverse(inverse(inverse(A) add B))) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1221
% Current number of rules: 86
% New rule produced :
% [87] inverse(inverse(inverse(inverse(A))) add B) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1220
% Current number of rules: 87
% New rule produced : [88] A <-> (inverse(inverse(A) add B) add A) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1219
% Current number of rules: 88
% New rule produced : [89] A <-> inverse((inverse(A) add B) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1218
% Current number of rules: 89
% New rule produced : [90] (inverse(inverse(A) add B) add A) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1217
% Current number of rules: 90
% New rule produced : [91] inverse((inverse(A) add B) add B) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1216
% Current number of rules: 91
% New rule produced :
% [92] A <-> inverse(inverse(A)) add inverse(inverse(A) add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1215
% Current number of rules: 92
% New rule produced :
% [93] inverse(inverse(A)) add inverse(inverse(A) add B) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1214
% Current number of rules: 93
% New rule produced :
% [94] inverse(A add B) add inverse(A) <-> inverse(A) add inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1212
% Current number of rules: 94
% New rule produced :
% [95] inverse(A) add inverse(A) <-> inverse(A add B) add inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1210
% Current number of rules: 95
% New rule produced : [96] inverse(inverse(A add B) add inverse(A)) <-> A add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1209
% Current number of rules: 96
% New rule produced : [97] A add A <-> inverse(inverse(A add B) add inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1208
% Current number of rules: 97
% New rule produced :
% [98] inverse(inverse(A add B)) <-> inverse(inverse(A add B)) add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1205
% Current number of rules: 98
% New rule produced :
% [99] inverse(inverse(A add B)) add B <-> inverse(inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1202
% Current number of rules: 99
% New rule produced :
% [100] inverse(inverse(A add B)) <-> inverse(inverse(A add B)) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1199
% Current number of rules: 100
% New rule produced :
% [101] inverse(inverse(A add B)) add A <-> inverse(inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1196
% Current number of rules: 101
% New rule produced :
% [102] inverse(inverse(A)) add A <-> inverse(inverse(A) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1195
% Current number of rules: 102
% New rule produced :
% [103] inverse(inverse(A) add B) add A <-> inverse(inverse(A)) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1194
% Current number of rules: 103
% New rule produced :
% [104] inverse(A) <-> inverse(inverse(inverse(A))) add inverse(A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1193
% Current number of rules: 104
% New rule produced :
% [105] inverse(A) <-> inverse(inverse(inverse(A add B))) add inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1192
% Current number of rules: 105
% New rule produced :
% [106] inverse(inverse(inverse(A))) add inverse(A add B) <-> inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1191
% Current number of rules: 106
% New rule produced :
% [107] inverse(inverse(inverse(A add B))) add inverse(A) <-> inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1190
% Current number of rules: 107
% New rule produced :
% [108] inverse(B) <-> inverse((A add B) add A) add inverse(B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1188
% Current number of rules: 108
% New rule produced :
% [109] inverse((A add B) add A) add inverse(B) <-> inverse(B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1186
% Current number of rules: 109
% New rule produced :
% [110] inverse(B) add A <-> inverse(inverse(A)) add (inverse(B) add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1184
% Current number of rules: 110
% New rule produced :
% [111] inverse(inverse(A)) add (inverse(B) add A) <-> inverse(B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1182
% Current number of rules: 111
% New rule produced :
% [112] inverse(A) <-> inverse(A add A) add inverse(A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1181
% Current number of rules: 112
% New rule produced :
% [113] inverse(A add A) add inverse(A add B) <-> inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1180
% Current number of rules: 113
% New rule produced : [114] A add B <-> inverse(inverse(A add B) add B) add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1175
% Current number of rules: 114
% New rule produced : [115] inverse(inverse(A add B) add B) add B <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1170
% Current number of rules: 115
% New rule produced : [116] A add B <-> ((A add B) add (A add B)) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1169
% Current number of rules: 116
% New rule produced : [117] ((A add B) add (A add B)) add A <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1168
% Current number of rules: 117
% New rule produced : [118] A add B <-> ((A add B) add A) add (A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1166
% Current number of rules: 118
% New rule produced : [119] ((A add B) add A) add (A add B) <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1164
% Current number of rules: 119
% New rule produced : [120] A add B <-> ((A add B) add (A add B)) add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1163
% Current number of rules: 120
% New rule produced : [121] ((A add B) add (A add B)) add B <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1162
% Current number of rules: 121
% New rule produced : [122] A add B <-> ((A add B) add B) add (A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1161
% Current number of rules: 122
% New rule produced : [123] ((A add B) add B) add (A add B) <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1160
% Current number of rules: 123
% New rule produced :
% [124] inverse(inverse(A) add B) add A <-> inverse(inverse(A) add C) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1148
% Current number of rules: 124
% New rule produced :
% [125] A <-> inverse(inverse(inverse(inverse(A)) add B) add inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1147
% Current number of rules: 125
% New rule produced :
% [126] inverse(inverse(inverse(inverse(A)) add B) add inverse(A)) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1146
% Current number of rules: 126
% New rule produced :
% [127] A <-> inverse((inverse(A) add inverse(A)) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1145
% Current number of rules: 127
% New rule produced :
% [128] inverse((inverse(A) add inverse(A)) add B) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1144
% Current number of rules: 128
% New rule produced :
% [129] inverse(A add B) add inverse(A) <-> inverse(A add C) add inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1128
% Current number of rules: 129
% New rule produced :
% [130] A <-> inverse(inverse(inverse(inverse(A))) add inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1127
% Current number of rules: 130
% New rule produced :
% [131] B <-> inverse(inverse(inverse(inverse(A add B) add inverse(B))))
% Current number of equations to process: 1097
% Current number of ordered equations: 1126
% Current number of rules: 131
% New rule produced :
% [132] B <-> inverse(inverse(inverse(inverse(A add B))) add inverse(B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1125
% Current number of rules: 132
% New rule produced :
% [133] inverse(inverse(inverse(inverse(A add B) add inverse(B)))) <-> B
% Current number of equations to process: 1097
% Current number of ordered equations: 1124
% Current number of rules: 133
% New rule produced :
% [134] inverse(inverse(inverse(inverse(A))) add inverse(A add B)) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1123
% Current number of rules: 134
% New rule produced :
% [135] inverse(inverse(inverse(inverse(A add B))) add inverse(B)) <-> B
% Current number of equations to process: 1097
% Current number of ordered equations: 1122
% Current number of rules: 135
% New rule produced :
% [136] B <-> inverse(inverse((A add B) add A) add inverse(B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1120
% Current number of rules: 136
% New rule produced :
% [137] inverse(inverse((A add B) add A) add inverse(B)) <-> B
% Current number of equations to process: 1097
% Current number of ordered equations: 1118
% Current number of rules: 137
% New rule produced :
% [138] A <-> inverse(inverse(A add A) add inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1116
% Current number of rules: 138
% New rule produced :
% [139] inverse(inverse(A add A) add inverse(A add B)) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1114
% Current number of rules: 139
% New rule produced : [140] A add A <-> inverse(inverse(A add B) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1113
% Current number of rules: 140
% New rule produced : [141] inverse(inverse(A add B) add B) add A <-> A add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1112
% Current number of rules: 141
% New rule produced : [142] A add A <-> inverse(inverse(A add A) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1110
% Current number of rules: 142
% New rule produced : [143] inverse(inverse(A add A) add B) add A <-> A add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1108
% Current number of rules: 143
% New rule produced :
% [144] inverse(A) <-> inverse(A add B) add (inverse(A) add inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1107
% Current number of rules: 144
% New rule produced :
% [145] inverse(A add B) add (inverse(A) add inverse(A)) <-> inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1106
% Current number of rules: 145
% New rule produced :
% [146] inverse(A) <-> inverse(A) add (inverse(A add B) add inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1105
% Current number of rules: 146
% New rule produced :
% [147] inverse(A) add (inverse(A add B) add inverse(A)) <-> inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1104
% Current number of rules: 147
% New rule produced :
% [148] inverse(A) <-> inverse(inverse(inverse(A add A) add A) add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1103
% Current number of rules: 148
% New rule produced :
% [149] inverse(inverse(inverse(A add A) add A) add A) <-> inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1102
% Current number of rules: 149
% New rule produced :
% [150]
% A <-> inverse(inverse(A)) add inverse(inverse(inverse(inverse(A))) add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1101
% Current number of rules: 150
% New rule produced :
% [151]
% inverse(inverse(A)) add inverse(inverse(inverse(inverse(A))) add B) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1100
% Current number of rules: 151
% New rule produced : [152] A <-> inverse(inverse(A add A) add B) add (A add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1099
% Current number of rules: 152
% New rule produced : [153] inverse(inverse(A add A) add B) add (A add A) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1098
% Current number of rules: 153
% New rule produced :
% [154]
% inverse(inverse(A add B)) <->
% inverse(inverse(A add B)) add inverse(inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1095
% Current number of rules: 154
% New rule produced :
% [155]
% inverse(inverse(A add B)) add inverse(inverse(A)) <->
% inverse(inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1092
% Current number of rules: 155
% New rule produced :
% [156]
% A <-> inverse(inverse(inverse(inverse(A)) add inverse(inverse(A) add B)))
% Current number of equations to process: 1097
% Current number of ordered equations: 1091
% Current number of rules: 156
% New rule produced :
% [157]
% inverse(inverse(inverse(inverse(A)) add inverse(inverse(A) add B))) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1090
% Current number of rules: 157
% New rule produced :
% [158]
% inverse(inverse(A add C) add inverse(A)) <-> inverse(inverse(A) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1089
% Current number of rules: 158
% New rule produced :
% [159]
% inverse(inverse(A) add B) add A <-> inverse(inverse(A add C) add inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1088
% Current number of rules: 159
% New rule produced :
% [160] B <-> inverse(inverse(A add B) add (inverse(B) add inverse(B)))
% Current number of equations to process: 1097
% Current number of ordered equations: 1087
% Current number of rules: 160
% New rule produced :
% [161] inverse(inverse(A add B) add (inverse(B) add inverse(B))) <-> B
% Current number of equations to process: 1097
% Current number of ordered equations: 1086
% Current number of rules: 161
% New rule produced :
% [162] A <-> inverse(inverse(A) add (inverse(A add B) add inverse(A)))
% Current number of equations to process: 1097
% Current number of ordered equations: 1082
% Current number of rules: 162
% New rule produced :
% [163] inverse(inverse(A) add (inverse(A add B) add inverse(A))) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1078
% Current number of rules: 163
% New rule produced :
% [164] B <-> inverse(inverse(inverse(A) add B) add inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1073
% Current number of rules: 164
% New rule produced :
% [165] inverse(inverse(inverse(A) add B) add inverse(A add B)) <-> B
% Current number of equations to process: 1097
% Current number of ordered equations: 1068
% Current number of rules: 165
% New rule produced :
% [166] inverse(inverse(A add B)) <-> inverse(inverse(A add B) add B) add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1065
% Current number of rules: 166
% New rule produced :
% [167] inverse(inverse(A add B) add B) add B <-> inverse(inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1062
% Current number of rules: 167
% New rule produced :
% [168] inverse(inverse(A add B)) <-> inverse(inverse(A add B) add A) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1058
% Current number of rules: 168
% New rule produced :
% [169] inverse(inverse(A add B) add A) add A <-> inverse(inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1054
% Current number of rules: 169
% New rule produced :
% [170] (A add B) add A <-> inverse(inverse(A add B)) add (A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1053
% Current number of rules: 170
% New rule produced :
% [171] inverse(inverse(A add B)) add (A add B) <-> (A add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1052
% Current number of rules: 171
% New rule produced :
% [172] inverse(inverse(A)) add A <-> inverse(inverse(A add B) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1051
% Current number of rules: 172
% New rule produced :
% [173] inverse(inverse(A add B) add B) add A <-> inverse(inverse(A)) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1050
% Current number of rules: 173
% New rule produced :
% [174] inverse(A) <-> inverse((A add B) add (A add B)) add inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1049
% Current number of rules: 174
% New rule produced :
% [175] inverse((A add B) add (A add B)) add inverse(A) <-> inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1048
% Current number of rules: 175
% New rule produced :
% [176]
% inverse(A add B) <->
% inverse(inverse(inverse(A add B)) add inverse(inverse(A)))
% Current number of equations to process: 1097
% Current number of ordered equations: 1045
% Current number of rules: 176
% New rule produced :
% [177]
% inverse(inverse(inverse(A add B)) add inverse(inverse(A))) <->
% inverse(A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1042
% Current number of rules: 177
% New rule produced :
% [178]
% inverse(inverse(inverse(A))) <->
% inverse(inverse(B) add A) add inverse(A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1041
% Current number of rules: 178
% New rule produced :
% [179]
% inverse(inverse(B) add A) add inverse(A add B) <->
% inverse(inverse(inverse(A)))
% Current number of equations to process: 1097
% Current number of ordered equations: 1040
% Current number of rules: 179
% New rule produced : [180] A add B <-> ((A add B) add A) add ((A add B) add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1039
% Current number of rules: 180
% New rule produced : [181] ((A add B) add A) add ((A add B) add A) <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1038
% Current number of rules: 181
% New rule produced : [182] A add B <-> ((A add B) add B) add ((A add B) add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1037
% Current number of rules: 182
% New rule produced : [183] ((A add B) add B) add ((A add B) add B) <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1036
% Current number of rules: 183
% New rule produced :
% [184] A <-> inverse((inverse(A) add B) add (inverse(A) add B)) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1035
% Current number of rules: 184
% New rule produced :
% [185] inverse((inverse(A) add B) add (inverse(A) add B)) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1034
% Current number of rules: 185
% New rule produced :
% [186]
% inverse(A add C) add inverse(A) <->
% inverse(inverse(inverse(A)) add B) add inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1029
% Current number of rules: 186
% New rule produced :
% [187]
% inverse(inverse(inverse(A)) add B) add inverse(A) <->
% inverse(A add C) add inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1024
% Current number of rules: 187
% New rule produced :
% [188] A <-> inverse((inverse(A add B) add inverse(A)) add C) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1023
% Current number of rules: 188
% New rule produced :
% [189] inverse((inverse(A add B) add inverse(A)) add C) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1022
% Current number of rules: 189
% New rule produced :
% [190]
% A <->
% inverse(inverse(inverse(inverse(A))) add inverse(inverse(inverse(A)) add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1021
% Current number of rules: 190
% New rule produced :
% [191]
% inverse(inverse(inverse(inverse(A))) add inverse(inverse(inverse(A)) add B))
% <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1020
% Current number of rules: 191
% New rule produced :
% [192] A <-> inverse(inverse((A add A) add B) add inverse(A add A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1019
% Current number of rules: 192
% New rule produced :
% [193] inverse(inverse((A add A) add B) add inverse(A add A)) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1018
% Current number of rules: 193
% New rule produced :
% [194] B <-> inverse(inverse((A add B) add (A add B)) add inverse(B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1017
% Current number of rules: 194
% New rule produced :
% [195] inverse(inverse((A add B) add (A add B)) add inverse(B)) <-> B
% Current number of equations to process: 1097
% Current number of ordered equations: 1016
% Current number of rules: 195
% New rule produced :
% [196]
% inverse(A) add inverse(A) <-> inverse(inverse(B) add A) add inverse(A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1015
% Current number of rules: 196
% New rule produced :
% [197]
% inverse(inverse(B) add A) add inverse(A add B) <-> inverse(A) add inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1014
% Current number of rules: 197
% New rule produced :
% [198] A <-> inverse(inverse(A) add inverse(B)) add inverse(inverse(A) add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 1013
% Current number of rules: 198
% New rule produced :
% [199] inverse(inverse(A) add inverse(B)) add inverse(inverse(A) add B) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1012
% Current number of rules: 199
% New rule produced :
% [200] inverse(inverse(inverse(inverse(A add B) add A) add A)) <-> A add B
% Current number of equations to process: 1097
% Current number of ordered equations: 1010
% Current number of rules: 200
% New rule produced :
% [201] A add B <-> inverse(inverse(inverse(inverse(A add B) add A) add A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1008
% Current number of rules: 201
% New rule produced :
% [202] A <-> inverse(inverse(A add A) add inverse(A add B)) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 1007
% Current number of rules: 202
% New rule produced :
% [203] inverse(inverse(A add A) add inverse(A add B)) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 1006
% Current number of rules: 203
% New rule produced :
% [204] inverse(A) <-> inverse(A) add (inverse(A add B) add inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 1005
% Current number of rules: 204
% New rule produced :
% [205] inverse(A) add (inverse(A add B) add inverse(A add B)) <-> inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1004
% Current number of rules: 205
% New rule produced :
% [206] inverse(A) <-> inverse(A add B) add (inverse(A add B) add inverse(A))
% Current number of equations to process: 1097
% Current number of ordered equations: 1003
% Current number of rules: 206
% New rule produced :
% [207] inverse(A add B) add (inverse(A add B) add inverse(A)) <-> inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 1002
% Current number of rules: 207
% New rule produced :
% [208] inverse(A) <-> inverse(A add B) add (inverse(A add C) add inverse(A))
% Rule
% [206] inverse(A) <-> inverse(A add B) add (inverse(A add B) add inverse(A))
% collapsed.
% Current number of equations to process: 1097
% Current number of ordered equations: 1001
% Current number of rules: 207
% New rule produced :
% [209] inverse(A add B) add (inverse(A add C) add inverse(A)) <-> inverse(A)
% Rule
% [207] inverse(A add B) add (inverse(A add B) add inverse(A)) <-> inverse(A)
% collapsed.
% Current number of equations to process: 1097
% Current number of ordered equations: 1000
% Current number of rules: 207
% New rule produced :
% [210]
% inverse(A) <->
% inverse(inverse(inverse(A add B))) add inverse(inverse(B) add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 999
% Current number of rules: 208
% New rule produced :
% [211]
% inverse(B) <->
% inverse(inverse(inverse(inverse(A) add B))) add inverse(A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 998
% Current number of rules: 209
% New rule produced :
% [212]
% inverse(B) <->
% inverse(inverse(inverse(inverse(A))) add B) add inverse(A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 997
% Current number of rules: 210
% New rule produced :
% [213]
% inverse(inverse(inverse(A add B))) add inverse(inverse(B) add A) <->
% inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 996
% Current number of rules: 211
% New rule produced :
% [214]
% inverse(inverse(inverse(inverse(A) add B))) add inverse(A add B) <->
% inverse(B)
% Current number of equations to process: 1097
% Current number of ordered equations: 995
% Current number of rules: 212
% New rule produced :
% [215]
% inverse(inverse(inverse(inverse(A))) add B) add inverse(A add B) <->
% inverse(B)
% Current number of equations to process: 1097
% Current number of ordered equations: 994
% Current number of rules: 213
% New rule produced :
% [216] inverse(B) <-> inverse(inverse(A) add B) add inverse((A add B) add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 992
% Current number of rules: 214
% New rule produced :
% [217] inverse(B) <-> inverse(inverse(A) add B) add inverse((A add B) add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 991
% Current number of rules: 215
% New rule produced :
% [218] inverse(B) <-> inverse((inverse(A) add B) add B) add inverse(A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 990
% Current number of rules: 216
% New rule produced :
% [219] inverse(inverse(A) add B) add inverse((A add B) add B) <-> inverse(B)
% Current number of equations to process: 1097
% Current number of ordered equations: 988
% Current number of rules: 217
% New rule produced :
% [220] inverse(inverse(A) add B) add inverse((A add B) add A) <-> inverse(B)
% Current number of equations to process: 1097
% Current number of ordered equations: 987
% Current number of rules: 218
% New rule produced :
% [221] inverse((inverse(A) add B) add B) add inverse(A add B) <-> inverse(B)
% Current number of equations to process: 1097
% Current number of ordered equations: 986
% Current number of rules: 219
% New rule produced :
% [222]
% inverse(inverse(inverse(A) add B)) <->
% inverse(inverse(inverse(A) add B)) add inverse(inverse(B))
% Current number of equations to process: 1097
% Current number of ordered equations: 984
% Current number of rules: 220
% New rule produced :
% [223]
% inverse(inverse(inverse(A) add B)) add inverse(inverse(B)) <->
% inverse(inverse(inverse(A) add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 982
% Current number of rules: 221
% New rule produced :
% [224]
% inverse((A add B) add A) <-> inverse(inverse(inverse(A add B) add A) add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 978
% Current number of rules: 222
% New rule produced :
% [225]
% inverse((A add B) add A) <-> inverse(inverse(inverse(A add B) add B) add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 976
% Current number of rules: 223
% New rule produced :
% [226]
% inverse(inverse(inverse(A add B) add A) add A) <-> inverse((A add B) add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 972
% Current number of rules: 224
% New rule produced :
% [227]
% inverse(inverse(inverse(A add B) add B) add B) <-> inverse((A add B) add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 970
% Current number of rules: 225
% New rule produced :
% [228] (A add B) add A <-> inverse(inverse(A add B) add C) add (A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 966
% Current number of rules: 226
% New rule produced :
% [229] inverse(inverse(A add B) add C) add (A add B) <-> (A add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 962
% Current number of rules: 227
% New rule produced :
% [230] (A add B) add B <-> inverse(inverse(A add B) add C) add (A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 958
% Current number of rules: 228
% New rule produced :
% [231] inverse(inverse(A add B) add C) add (A add B) <-> (A add B) add B
% Current number of equations to process: 1097
% Current number of ordered equations: 954
% Current number of rules: 229
% New rule produced :
% [232] A <-> (inverse(inverse(A) add B) add inverse(inverse(A) add B)) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 953
% Current number of rules: 230
% New rule produced :
% [233] (inverse(inverse(A) add B) add inverse(inverse(A) add B)) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 952
% Current number of rules: 231
% New rule produced :
% [234] A <-> inverse(inverse(A) add B) add (inverse(inverse(A) add B) add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 951
% Current number of rules: 232
% New rule produced :
% [235] inverse(inverse(A) add B) add (inverse(inverse(A) add B) add A) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 950
% Current number of rules: 233
% New rule produced :
% [236]
% inverse(inverse(inverse(A)) add inverse(inverse(A) add C)) <->
% inverse(A add B) add inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 949
% Current number of rules: 234
% New rule produced :
% [237]
% inverse(A add B) add inverse(A) <->
% inverse(inverse(inverse(A)) add inverse(inverse(A) add C))
% Current number of equations to process: 1097
% Current number of ordered equations: 948
% Current number of rules: 235
% New rule produced :
% [238] A <-> inverse(inverse(A) add (inverse(A add B) add inverse(A add B)))
% Current number of equations to process: 1097
% Current number of ordered equations: 947
% Current number of rules: 236
% New rule produced :
% [239] inverse(inverse(A) add (inverse(A add B) add inverse(A add B))) <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 946
% Current number of rules: 237
% New rule produced :
% [240] B <-> inverse(inverse(A add B) add (inverse(A add B) add inverse(B)))
% Current number of equations to process: 1097
% Current number of ordered equations: 945
% Current number of rules: 238
% New rule produced :
% [241] inverse(inverse(A add B) add (inverse(A add B) add inverse(B))) <-> B
% Current number of equations to process: 1097
% Current number of ordered equations: 944
% Current number of rules: 239
% New rule produced :
% [242] A <-> inverse(inverse(A add B) add (inverse(A add C) add inverse(A)))
% Rule
% [240] B <-> inverse(inverse(A add B) add (inverse(A add B) add inverse(B)))
% collapsed.
% Current number of equations to process: 1097
% Current number of ordered equations: 941
% Current number of rules: 239
% New rule produced :
% [243] inverse(inverse(A add B) add (inverse(A add C) add inverse(A))) <-> A
% Rule
% [241] inverse(inverse(A add B) add (inverse(A add B) add inverse(B))) <-> B
% collapsed.
% Current number of equations to process: 1097
% Current number of ordered equations: 938
% Current number of rules: 239
% New rule produced :
% [244]
% inverse(A add B) add inverse(A) <->
% inverse(inverse(C) add A) add inverse(A add C)
% Current number of equations to process: 1097
% Current number of ordered equations: 935
% Current number of rules: 240
% New rule produced :
% [245]
% inverse(inverse(C) add A) add inverse(A add C) <->
% inverse(A add B) add inverse(A)
% Current number of equations to process: 1097
% Current number of ordered equations: 932
% Current number of rules: 241
% New rule produced :
% [246]
% inverse(inverse(A add B)) <->
% inverse(inverse(A)) add inverse(inverse(A add B) add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 930
% Current number of rules: 242
% New rule produced :
% [247]
% inverse(inverse(A)) add inverse(inverse(A add B) add A) <->
% inverse(inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 928
% Current number of rules: 243
% New rule produced :
% [248]
% inverse(inverse(A add B)) <->
% inverse(inverse(inverse(A)) add inverse(A add B)) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 927
% Current number of rules: 244
% New rule produced :
% [249]
% inverse(inverse(A) add B) <->
% inverse(inverse(inverse(inverse(A) add B)) add inverse(inverse(B)))
% Current number of equations to process: 1097
% Current number of ordered equations: 925
% Current number of rules: 245
% New rule produced :
% [250]
% inverse(inverse(inverse(inverse(A) add B)) add inverse(inverse(B))) <->
% inverse(inverse(A) add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 923
% Current number of rules: 246
% New rule produced :
% [251]
% inverse(inverse(inverse(A)) add inverse(A add B)) add A <->
% inverse(inverse(A add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 922
% Current number of rules: 247
% New rule produced :
% [252] A <-> inverse(inverse(inverse(inverse(A) add B) add B) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 921
% Current number of rules: 248
% New rule produced :
% [253] inverse(inverse(inverse(inverse(A) add B) add B) add B) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 920
% Current number of rules: 249
% New rule produced :
% [254] B <-> inverse(inverse(inverse(A) add B) add inverse((A add B) add B))
% Current number of equations to process: 1097
% Current number of ordered equations: 919
% Current number of rules: 250
% New rule produced :
% [255] inverse(inverse(inverse(A) add B) add inverse((A add B) add B)) <-> B
% Current number of equations to process: 1097
% Current number of ordered equations: 918
% Current number of rules: 251
% New rule produced :
% [256] A <-> inverse(inverse(inverse(inverse(A) add B) add A) add B) add A
% Current number of equations to process: 1097
% Current number of ordered equations: 917
% Current number of rules: 252
% New rule produced :
% [257] inverse(inverse(inverse(inverse(A) add B) add A) add B) add A <-> A
% Current number of equations to process: 1097
% Current number of ordered equations: 916
% Current number of rules: 253
% New rule produced :
% [258]
% inverse(A add A) add inverse(A add B) <->
% inverse(A add A) add inverse(A add A)
% Current number of equations to process: 1097
% Current number of ordered equations: 915
% Current number of rules: 254
% New rule produced :
% [259]
% inverse(A add A) add inverse(A add A) <->
% inverse(A add A) add inverse(A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 914
% Current number of rules: 255
% New rule produced :
% [260]
% inverse(B) <->
% inverse((inverse(A) add inverse(A)) add B) add inverse(A add B)
% Current number of equations to process: 1097
% Current number of ordered equations: 913
% Current number of rules: 256
% New rule produced :
% [261]
% inverse((inverse(A) add inverse(A)) add B) add inverse(A add B) <->
% inverse(B)
% Current number of equations to process: 1097
% Current number of ordered equations: 912
% Current number of rules: 257
% New rule produced :
% [262]
% inverse(B) <->
% inverse(inverse(A) add (inverse(A) add B)) add inverse(A add B)
% Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------