%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : COL034-1 : TPTP v6.0.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n157.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 00:19:46 EDT 2014

% Result   : Timeout 300.06s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : COL034-1 : TPTP v6.0.0. Released v1.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n157.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 18:13:33 CDT 2014
% % CPUTime  : 300.06 
% Processing problem /tmp/CiME_48771_n157.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " t,m,b : constant;  f : 1;  apply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z));
% apply(m,X) = apply(X,X);
% apply(apply(t,X),Y) = apply(Y,X);
% ";
% 
% let s1 = status F "
% f lr_lex;
% t lr_lex;
% m lr_lex;
% apply lr_lex;
% b lr_lex;
% ";
% 
% let p1 = precedence F "
% apply > f > b > m > t";
% 
% let s2 = status F "
% f mul;
% t mul;
% m mul;
% apply mul;
% b mul;
% ";
% 
% let p2 = precedence F "
% apply > f > b = m = t";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " apply(Y,f(Y)) = apply(f(Y),apply(Y,f(Y)));"
% ;
% (*
% 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 = { apply(apply(apply(b,X),Y),Z) =
% apply(X,apply(Y,Z)),
% apply(m,X) = apply(X,X),
% apply(apply(t,X),Y) = apply(Y,X) }
% (3 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% 
% [t] = 1;
% [m] = 2;
% [b] = 3;
% [f](x1) = 4 + x1;
% [apply](x1,x2) = 1 + x1 + x2;
% Chosen ordering : KBO
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { apply(Y,f(Y)) = apply(f(Y),apply(Y,f(Y))) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] (eq)(X,X) -> (true)
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 1
% New rule produced :
% [2] (eq)(apply(Y,f(Y)),apply(f(Y),apply(Y,f(Y)))) -> (false)
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 2
% New rule produced : [3] apply(X,X) <-> apply(m,X)
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 3
% New rule produced : [4] apply(m,X) <-> apply(X,X)
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 4
% New rule produced : [5] apply(apply(t,X),Y) -> apply(Y,X)
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced : [6] apply(apply(apply(b,X),Y),Z) -> apply(X,apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7] (eq)(apply(f(m),f(m)),apply(f(m),apply(m,f(m)))) -> (false)
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8] (eq)(apply(m,f(m)),apply(f(m),apply(f(m),f(m)))) -> (false)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% (eq)(apply(f(apply(t,X)),X),apply(f(apply(t,X)),apply(f(apply(t,X)),X))) ->
% (false)
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] apply(X,X) <-> apply(m,apply(t,X))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 10
% New rule produced : [11] apply(m,apply(t,X)) <-> apply(X,X)
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced : [12] apply(apply(m,t),X) -> apply(X,t)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13] (eq)(apply(f(m),f(m)),apply(f(m),apply(f(m),f(m)))) -> (false)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14]
% (eq)(apply(f(apply(t,t)),t),apply(f(apply(m,t)),apply(f(apply(t,t)),t))) ->
% (false)
% Current number of equations to process: 4
% Current number of ordered equations: 2
% Current number of rules: 14
% New rule produced :
% [15]
% (eq)(apply(f(apply(t,t)),t),apply(f(apply(t,t)),apply(f(apply(m,t)),t))) ->
% (false)
% Current number of equations to process: 4
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [16]
% (eq)(apply(f(apply(m,t)),t),apply(f(apply(t,t)),apply(f(apply(t,t)),t))) ->
% (false)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 16
% Rule [10] apply(X,X) <-> apply(m,apply(t,X)) is composed into [10]
% apply(X,X) <->
% apply(m,X)
% New rule produced : [17] apply(m,apply(t,X)) -> apply(m,X)
% Rule [11] apply(m,apply(t,X)) <-> apply(X,X) collapsed.
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [18]
% (eq)(apply(f(apply(m,t)),t),apply(f(apply(m,t)),apply(f(apply(m,t)),t))) ->
% (false)
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [19] apply(m,apply(m,t)) -> apply(t,t)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [20]
% (eq)(apply(f(apply(t,t)),t),apply(f(apply(m,t)),apply(f(apply(m,t)),t))) ->
% (false)
% Current number of equations to process: 5
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [21]
% (eq)(apply(f(apply(m,t)),t),apply(f(apply(m,t)),apply(f(apply(t,t)),t))) ->
% (false)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [22]
% (eq)(apply(f(apply(m,t)),t),apply(f(apply(t,t)),apply(f(apply(m,t)),t))) ->
% (false)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [23] apply(apply(apply(m,b),X),Y) -> apply(b,apply(X,Y))
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [24]
% (eq)(apply(X,apply(Y,f(apply(apply(b,X),Y)))),apply(f(apply(apply(b,X),Y)),
% apply(X,apply(Y,f(apply(
% apply(b,X),Y))))))
% -> (false)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25]
% (eq)(apply(m,f(apply(apply(b,m),t))),apply(f(apply(apply(b,m),t)),apply(m,
% f(apply(
% apply(b,m),t)))))
% -> (false)
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26]
% (eq)(apply(f(apply(apply(b,m),t)),f(apply(apply(b,m),t))),apply(f(apply(
% apply(b,m),t)),
% apply(m,f(apply(
% apply(b,m),t)))))
% -> (false)
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27] apply(X,apply(apply(b,X),Y)) <-> apply(apply(m,apply(b,X)),Y)
% Current number of equations to process: 23
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [28] apply(apply(m,apply(b,X)),Y) <-> apply(X,apply(apply(b,X),Y))
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29] apply(apply(m,apply(m,b)),X) -> apply(b,apply(apply(m,b),X))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30]
% (eq)(apply(b,apply(X,f(apply(apply(m,b),X)))),apply(f(apply(apply(m,b),X)),
% apply(b,apply(X,f(apply(
% apply(m,b),X))))))
% -> (false)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31]
% (eq)(apply(b,apply(X,f(apply(apply(m,b),X)))),apply(f(apply(apply(b,b),X)),
% apply(b,apply(X,f(apply(
% apply(b,b),X))))))
% -> (false)
% Current number of equations to process: 56
% Current number of ordered equations: 2
% Current number of rules: 30
% New rule produced :
% [32]
% (eq)(apply(b,apply(X,f(apply(apply(b,b),X)))),apply(f(apply(apply(m,b),X)),
% apply(b,apply(X,f(apply(
% apply(b,b),X))))))
% -> (false)
% Current number of equations to process: 60
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [33]
% (eq)(apply(b,apply(X,f(apply(apply(b,b),X)))),apply(f(apply(apply(b,b),X)),
% apply(b,apply(X,f(apply(
% apply(m,b),X))))))
% -> (false)
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [34]
% (eq)(apply(b,apply(X,f(apply(apply(m,b),X)))),apply(f(apply(apply(m,b),X)),
% apply(b,apply(X,f(apply(
% apply(b,b),X))))))
% -> (false)
% Current number of equations to process: 84
% Current number of ordered equations: 2
% Current number of rules: 33
% New rule produced :
% [35]
% (eq)(apply(b,apply(X,f(apply(apply(m,b),X)))),apply(f(apply(apply(b,b),X)),
% apply(b,apply(X,f(apply(
% apply(m,b),X))))))
% -> (false)
% Current number of equations to process: 86
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [36]
% (eq)(apply(b,apply(X,f(apply(apply(b,b),X)))),apply(f(apply(apply(m,b),X)),
% apply(b,apply(X,f(apply(
% apply(m,b),X))))))
% -> (false)
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [37]
% (eq)(apply(X,apply(f(apply(apply(b,X),m)),f(apply(apply(b,X),m)))),apply(
% f(
% apply(
% apply(b,X),m)),
% apply(X,
% apply(m,
% f(
% apply(
% apply(b,X),m))))))
% -> (false)
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38] apply(apply(X,Y),Y) <-> apply(apply(m,apply(b,apply(t,Y))),X)
% Current number of equations to process: 128
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [39] apply(apply(m,apply(b,apply(t,Y))),X) <-> apply(apply(X,Y),Y)
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [40] apply(X,X) <-> apply(apply(m,apply(b,apply(t,X))),t)
% Current number of equations to process: 139
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced : [41] apply(apply(m,apply(b,apply(t,X))),t) <-> apply(X,X)
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 40
% Rule [40] apply(X,X) <-> apply(apply(m,apply(b,apply(t,X))),t) is composed into 
% [40] apply(X,X) <-> apply(m,X)
% New rule produced : [42] apply(apply(m,apply(b,apply(t,X))),t) -> apply(m,X)
% Rule [41] apply(apply(m,apply(b,apply(t,X))),t) <-> apply(X,X) collapsed.
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [43] apply(apply(m,apply(b,apply(m,t))),t) -> apply(m,t)
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [44] apply(apply(m,apply(b,apply(m,t))),X) -> apply(apply(X,t),t)
% Rule [43] apply(apply(m,apply(b,apply(m,t))),t) -> apply(m,t) collapsed.
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [45] apply(m,apply(m,apply(b,apply(m,t)))) -> apply(t,t)
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [46] apply(m,apply(m,apply(b,apply(t,t)))) -> apply(t,t)
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [47]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [48]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [49]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [50]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [51]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [52]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [53]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [54]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 225
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [55]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [56] apply(apply(m,apply(b,apply(t,X))),X) -> apply(apply(m,X),X)
% Current number of equations to process: 228
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [57] apply(apply(X,X),X) <-> apply(apply(m,apply(b,apply(t,X))),m)
% Current number of equations to process: 228
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [58] apply(apply(m,apply(b,apply(t,X))),m) <-> apply(apply(X,X),X)
% Current number of equations to process: 228
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [59]
% (eq)(apply(X,apply(X,f(apply(apply(m,apply(b,apply(t,X))),b)))),apply(
% f(apply(
% apply(b,X),X)),
% apply(X,
% apply(X,
% f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [60]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 232
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [61]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [62]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [63]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [64]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 224
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [65]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(m,
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [66]
% (eq)(apply(X,apply(apply(b,X),f(apply(m,apply(b,X))))),apply(f(apply(m,
% apply(b,X))),
% apply(X,apply(
% apply(b,X),
% f(apply(m,
% apply(b,X)))))))
% -> (false)
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [67]
% (eq)(apply(m,f(apply(apply(b,m),t))),apply(f(apply(apply(b,m),t)),apply(
% f(apply(
% apply(b,m),t)),
% f(apply(
% apply(b,m),t)))))
% -> (false)
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [68]
% (eq)(apply(X,apply(apply(b,X),f(apply(m,apply(b,X))))),apply(f(apply(m,
% apply(b,X))),
% apply(apply(m,
% apply(b,X)),
% f(apply(m,apply(b,X))))))
% -> (false)
% Current number of equations to process: 214
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [69]
% (eq)(apply(apply(m,apply(b,X)),f(apply(m,apply(b,X)))),apply(f(apply(m,
% apply(b,X))),
% apply(X,apply(
% apply(b,X),
% f(apply(m,
% apply(b,X)))))))
% -> (false)
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [70]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [71]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 235
% Current number of ordered equations: 4
% Current number of rules: 68
% New rule produced :
% [72]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 235
% Current number of ordered equations: 3
% Current number of rules: 69
% New rule produced :
% [73]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 235
% Current number of ordered equations: 2
% Current number of rules: 70
% New rule produced :
% [74]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 235
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [75]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [76]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 263
% Current number of ordered equations: 4
% Current number of rules: 73
% New rule produced :
% [77]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 263
% Current number of ordered equations: 3
% Current number of rules: 74
% New rule produced :
% [78]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 263
% Current number of ordered equations: 2
% Current number of rules: 75
% New rule produced :
% [79]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 263
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [80]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [81]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 279
% Current number of ordered equations: 3
% Current number of rules: 78
% New rule produced :
% [82]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 279
% Current number of ordered equations: 2
% Current number of rules: 79
% New rule produced :
% [83]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 288
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [84]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [85]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 289
% Current number of ordered equations: 2
% Current number of rules: 82
% New rule produced :
% [86]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 289
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [87]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 289
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [88]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 298
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [89]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [90]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [91]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 275
% Current number of ordered equations: 3
% Current number of rules: 88
% New rule produced :
% [92]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 275
% Current number of ordered equations: 2
% Current number of rules: 89
% New rule produced :
% [93]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [94]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [95]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 271
% Current number of ordered equations: 2
% Current number of rules: 92
% New rule produced :
% [96]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 271
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [97]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [98]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 267
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [99]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [100]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [101] apply(X,apply(Y,apply(apply(b,X),Y))) <-> apply(m,apply(apply(b,X),Y))
% Current number of equations to process: 210
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [102] apply(m,apply(apply(b,X),Y)) <-> apply(X,apply(Y,apply(apply(b,X),Y)))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [103] apply(b,apply(X,apply(apply(m,b),X))) -> apply(m,apply(apply(m,b),X))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [104] apply(apply(m,apply(b,X)),apply(b,X)) -> apply(X,apply(m,apply(b,X)))
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [105]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [106]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [107]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(m,apply(b,
% apply(t,X))),b)),
% apply(X,apply(X,f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 309
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [108]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(b,X),X)),
% apply(X,apply(X,f(apply(
% apply(m,
% apply(b,
% apply(t,X))),b))))))
% -> (false)
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [109] apply(m,apply(m,apply(b,apply(t,X)))) <-> apply(apply(apply(m,X),X),X)
% Rule [46] apply(m,apply(m,apply(b,apply(t,t)))) -> apply(t,t) collapsed.
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [110] apply(apply(apply(m,X),X),X) <-> apply(m,apply(m,apply(b,apply(t,X))))
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [111] apply(X,apply(X,apply(Y,Y))) <-> apply(m,apply(apply(b,X),apply(t,Y)))
% Current number of equations to process: 350
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [112] apply(m,apply(apply(b,X),apply(t,Y))) <-> apply(X,apply(X,apply(Y,Y)))
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [113]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,X)))) ->
% (false)
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [114]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,X)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 3
% Current number of rules: 110
% New rule produced :
% [115]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,X)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 2
% Current number of rules: 111
% New rule produced :
% [116]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,X)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [117]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(m,t)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [118]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,X)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 2
% Current number of rules: 114
% New rule produced :
% [119]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,X)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [120]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(m,t)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [121]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [122]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(m,t)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [123]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,X)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [124]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [125]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(m,t)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [126]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [127]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(m,t)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [128]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,X)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [129]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [130]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(m,t)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [131]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [132]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [133]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 413
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [134]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [135]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(m,t)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [136]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [137]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 419
% Current number of ordered equations: 2
% Current number of rules: 133
% New rule produced :
% [138]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 419
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [139]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [140]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 419
% Current number of ordered equations: 2
% Current number of rules: 136
% New rule produced :
% [141]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 419
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [142]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [143]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(m,t)))) ->
% (false)
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [144]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [145]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,X)))))
% -> (false)
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [146]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(m,t)))))
% -> (false)
% Current number of equations to process: 414
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [147]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [148]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [149]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [150]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [151]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 2
% Current number of rules: 147
% New rule produced :
% [152]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [153]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [154]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [155]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [156]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [157]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [158]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [159]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(m,t)))))
% -> (false)
% Current number of equations to process: 435
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [160]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,X)))))
% -> (false)
% Current number of equations to process: 432
% Current number of ordered equations: 2
% Current number of rules: 156
% New rule produced :
% [161]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,X)))))
% -> (false)
% Current number of equations to process: 432
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [162]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,X)))))
% -> (false)
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [163]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(m,t)))))
% -> (false)
% Current number of equations to process: 450
% Current number of ordered equations: 2
% Current number of rules: 159
% New rule produced :
% [164]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(m,t)))))
% -> (false)
% Current number of equations to process: 450
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [165]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(m,t)))))
% -> (false)
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [166]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,t)))))
% -> (false)
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [167]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [168]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [169]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(m,t)))))
% -> (false)
% Current number of equations to process: 449
% Current number of ordered equations: 2
% Current number of rules: 165
% New rule produced :
% [170]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(m,t)))))
% -> (false)
% Current number of equations to process: 449
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [171]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(m,t)))))
% -> (false)
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [172]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,X)))))
% -> (false)
% Current number of equations to process: 449
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [173]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,X)))))
% -> (false)
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [174]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,X)))))
% -> (false)
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [175]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,X)))))
% -> (false)
% Rule
% [166]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 452
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [176]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false)
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [177]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false)
% Current number of equations to process: 461
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [178]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false)
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [179]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false)
% Current number of equations to process: 457
% Current number of ordered equations: 2
% Current number of rules: 174
% New rule produced :
% [180]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false)
% Current number of equations to process: 457
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [181]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false)
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [182]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false)
% Current number of equations to process: 475
% Current number of ordered equations: 2
% Current number of rules: 177
% New rule produced :
% [183]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false)
% Current number of equations to process: 475
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [184]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false)
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [185]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,
% apply(t,t))))))
% -> (false)
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [186]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false)
% Current number of equations to process: 474
% Current number of ordered equations: 2
% Current number of rules: 181
% New rule produced :
% [187]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false)
% Current number of equations to process: 474
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [188]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false)
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [189]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false)
% Current number of equations to process: 474
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [190]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false)
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [191]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false)
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [192]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false)
% Rule
% [185]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,
% apply(t,t))))))
% -> (false) collapsed.
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [193] apply(X,apply(X,apply(t,t))) <-> apply(m,apply(apply(b,X),apply(m,t)))
% Current number of equations to process: 480
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [194] apply(m,apply(apply(b,X),apply(m,t))) <-> apply(X,apply(X,apply(t,t)))
% Rule
% [117]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(m,t)))) ->
% (false) collapsed.
% Rule
% [120]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(m,t)))) ->
% (false) collapsed.
% Rule
% [122]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(m,t)))) ->
% (false) collapsed.
% Rule
% [125]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(m,t)))) ->
% (false) collapsed.
% Rule
% [127]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(m,t)))) ->
% (false) collapsed.
% Rule
% [130]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(m,t)))) ->
% (false) collapsed.
% Rule
% [135]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(m,t)))) ->
% (false) collapsed.
% Rule
% [143]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(m,t)))) ->
% (false) collapsed.
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [195] apply(X,apply(apply(m,apply(b,X)),X)) -> apply(m,apply(apply(b,X),X))
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [196] apply(b,apply(b,apply(X,X))) <-> apply(m,apply(apply(m,b),apply(t,X)))
% Current number of equations to process: 543
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [197] apply(m,apply(apply(m,b),apply(t,X))) <-> apply(b,apply(b,apply(X,X)))
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [198] apply(m,apply(apply(m,b),apply(m,t))) -> apply(b,apply(b,apply(t,t)))
% Current number of equations to process: 580
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [199] apply(b,apply(apply(m,b),apply(b,b))) -> apply(b,apply(m,apply(b,b)))
% Current number of equations to process: 582
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [200] apply(b,apply(apply(b,b),apply(m,b))) -> apply(b,apply(m,apply(b,b)))
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [201]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 586
% Current number of ordered equations: 3
% Current number of rules: 187
% New rule produced :
% [202]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 586
% Current number of ordered equations: 2
% Current number of rules: 188
% New rule produced :
% [203]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 586
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [204]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [205]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 599
% Current number of ordered equations: 3
% Current number of rules: 191
% New rule produced :
% [206]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 599
% Current number of ordered equations: 2
% Current number of rules: 192
% New rule produced :
% [207]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 599
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [208]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [209] apply(m,apply(m,apply(b,apply(t,X)))) <-> apply(apply(apply(X,X),X),X)
% Current number of equations to process: 610
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [210] apply(apply(apply(X,X),X),X) <-> apply(m,apply(m,apply(b,apply(t,X))))
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [211] apply(m,apply(m,apply(b,apply(t,apply(m,t))))) -> apply(t,t)
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [212] apply(X,apply(X,apply(m,Y))) <-> apply(m,apply(apply(b,X),apply(t,Y)))
% Current number of equations to process: 632
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [213] apply(m,apply(apply(b,X),apply(t,Y))) <-> apply(X,apply(X,apply(m,Y)))
% Rule
% [113]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,X)))) ->
% (false) collapsed.
% Rule
% [114]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,X)))) ->
% (false) collapsed.
% Rule
% [115]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,X)))) ->
% (false) collapsed.
% Rule
% [116]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,X)))) ->
% (false) collapsed.
% Rule
% [118]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,X)))) ->
% (false) collapsed.
% Rule
% [119]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,X)))) ->
% (false) collapsed.
% Rule
% [123]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,X)))) ->
% (false) collapsed.
% Rule
% [128]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,X)))) ->
% (false) collapsed.
% Rule
% [145]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,X)))))
% -> (false) collapsed.
% Rule
% [146]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(m,t)))))
% -> (false) collapsed.
% Rule
% [159]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(m,t)))))
% -> (false) collapsed.
% Rule
% [160]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,X)))))
% -> (false) collapsed.
% Rule
% [161]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,X)))))
% -> (false) collapsed.
% Rule
% [162]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,X)))))
% -> (false) collapsed.
% Rule
% [163]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(m,t)))))
% -> (false) collapsed.
% Rule
% [164]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(m,t)))))
% -> (false) collapsed.
% Rule
% [165]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(m,t)))))
% -> (false) collapsed.
% Rule
% [169]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(m,t)))))
% -> (false) collapsed.
% Rule
% [170]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(m,t)))))
% -> (false) collapsed.
% Rule
% [171]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(m,t)))))
% -> (false) collapsed.
% Rule
% [172]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,X)))))
% -> (false) collapsed.
% Rule
% [173]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,X)))))
% -> (false) collapsed.
% Rule
% [174]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,X)))))
% -> (false) collapsed.
% Rule
% [175]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,X)))))
% -> (false) collapsed.
% Rule
% [176]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false) collapsed.
% Rule
% [177]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false) collapsed.
% Rule
% [178]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false) collapsed.
% Rule
% [179]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false) collapsed.
% Rule
% [180]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false) collapsed.
% Rule
% [181]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false) collapsed.
% Rule
% [182]
% (eq)(apply(f(apply(t,apply(t,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false) collapsed.
% Rule
% [183]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false) collapsed.
% Rule
% [184]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false) collapsed.
% Rule
% [186]
% (eq)(apply(f(apply(t,apply(m,t))),apply(t,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false) collapsed.
% Rule
% [187]
% (eq)(apply(f(apply(t,apply(t,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false) collapsed.
% Rule
% [188]
% (eq)(apply(f(apply(t,apply(m,t))),apply(m,t)),apply(m,apply(apply(b,f(
% apply(t,
% apply(t,t)))),
% apply(t,apply(t,
% apply(m,t))))))
% -> (false) collapsed.
% Rule
% [189]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(m,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false) collapsed.
% Rule
% [190]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false) collapsed.
% Rule
% [191]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false) collapsed.
% Rule
% [192]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,f(
% apply(t,
% apply(X,X)))),
% apply(t,apply(t,
% apply(t,X))))))
% -> (false) collapsed.
% Current number of equations to process: 632
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [214] apply(X,apply(X,apply(m,t))) <-> apply(m,apply(apply(b,X),apply(m,t)))
% Current number of equations to process: 680
% Current number of ordered equations: 2
% Current number of rules: 160
% New rule produced :
% [215] apply(m,apply(apply(b,X),apply(m,t))) <-> apply(X,apply(X,apply(m,t)))
% Current number of equations to process: 680
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [216] apply(m,apply(apply(b,apply(t,t)),apply(m,t))) -> apply(t,t)
% Current number of equations to process: 680
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [217] apply(m,apply(apply(b,apply(m,t)),apply(m,t))) -> apply(t,t)
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 163
% Rule [196]
% apply(b,apply(b,apply(X,X))) <-> apply(m,apply(apply(m,b),apply(t,X))) is composed into 
% [196] apply(b,apply(b,apply(X,X))) <-> apply(b,apply(b,apply(m,X)))
% New rule produced :
% [218] apply(m,apply(apply(m,b),apply(t,X))) -> apply(b,apply(b,apply(m,X)))
% Rule
% [197] apply(m,apply(apply(m,b),apply(t,X))) <-> apply(b,apply(b,apply(X,X)))
% collapsed.
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [219]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 721
% Current number of ordered equations: 2
% Current number of rules: 164
% New rule produced :
% [220]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 721
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [221]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [222]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 732
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [223]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 731
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [224]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 731
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [225]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 726
% Current number of ordered equations: 2
% Current number of rules: 170
% New rule produced :
% [226]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 726
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [227]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 726
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [228]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 729
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [229]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 729
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [230]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 729
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [231] apply(m,apply(m,apply(b,apply(t,apply(t,t))))) -> apply(t,t)
% Current number of equations to process: 727
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [232] apply(m,apply(apply(b,apply(t,t)),apply(t,t))) -> apply(t,t)
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [233] apply(m,apply(apply(b,apply(m,t)),apply(t,t))) -> apply(t,t)
% Current number of equations to process: 723
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [234]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 723
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [235]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 723
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [236]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 722
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [237]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 711
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [238]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 702
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [239]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 702
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [240]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [241]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 696
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [242]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 692
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [243]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 691
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [244]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,Y))),Y)),apply(f(apply(
% apply(b,X),
% apply(t,Y))),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(t,Y))),Y))))
% -> (false)
% Current number of equations to process: 689
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [245]
% (eq)(apply(apply(X,f(apply(apply(b,apply(t,Y)),X))),Y),apply(f(apply(
% apply(b,
% apply(t,Y)),X)),
% apply(apply(X,
% f(apply(
% apply(b,
% apply(t,Y)),X))),Y)))
% -> (false)
% Current number of equations to process: 689
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [246]
% (eq)(apply(X,f(apply(apply(b,apply(t,X)),t))),apply(f(apply(apply(b,apply(t,X)),t)),
% apply(X,f(apply(apply(b,
% apply(t,X)),t)))))
% -> (false)
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [247]
% (eq)(apply(t,f(apply(apply(b,apply(t,t)),t))),apply(f(apply(apply(b,apply(m,t)),t)),
% apply(t,f(apply(apply(b,
% apply(t,t)),t)))))
% -> (false)
% Current number of equations to process: 771
% Current number of ordered equations: 2
% Current number of rules: 192
% New rule produced :
% [248]
% (eq)(apply(t,f(apply(apply(b,apply(t,t)),t))),apply(f(apply(apply(b,apply(t,t)),t)),
% apply(t,f(apply(apply(b,
% apply(m,t)),t)))))
% -> (false)
% Current number of equations to process: 771
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [249]
% (eq)(apply(t,f(apply(apply(b,apply(m,t)),t))),apply(f(apply(apply(b,apply(t,t)),t)),
% apply(t,f(apply(apply(b,
% apply(t,t)),t)))))
% -> (false)
% Current number of equations to process: 771
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [250]
% (eq)(apply(t,f(apply(apply(b,apply(t,t)),t))),apply(f(apply(apply(b,apply(m,t)),t)),
% apply(t,f(apply(apply(b,
% apply(m,t)),t)))))
% -> (false)
% Current number of equations to process: 772
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [251]
% (eq)(apply(t,f(apply(apply(b,apply(m,t)),t))),apply(f(apply(apply(b,apply(m,t)),t)),
% apply(t,f(apply(apply(b,
% apply(t,t)),t)))))
% -> (false)
% Current number of equations to process: 772
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [252]
% (eq)(apply(t,f(apply(apply(b,apply(m,t)),t))),apply(f(apply(apply(b,apply(t,t)),t)),
% apply(t,f(apply(apply(b,
% apply(m,t)),t)))))
% -> (false)
% Current number of equations to process: 772
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [253]
% (eq)(apply(t,f(apply(apply(b,apply(m,t)),t))),apply(f(apply(apply(b,apply(m,t)),t)),
% apply(t,f(apply(apply(b,
% apply(m,t)),t)))))
% -> (false)
% Current number of equations to process: 772
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [254]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(m,t))),t)),apply(f(apply(
% apply(b,X),
% apply(m,t))),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 770
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [255]
% (eq)(apply(apply(X,f(apply(apply(b,apply(m,t)),X))),t),apply(f(apply(
% apply(b,
% apply(m,t)),X)),
% apply(apply(X,
% f(apply(
% apply(b,
% apply(m,t)),X))),t)))
% -> (false)
% Current number of equations to process: 770
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [256]
% (eq)(apply(f(apply(apply(b,m),t)),f(apply(apply(b,m),t))),apply(f(apply(
% apply(b,m),t)),
% apply(f(apply(
% apply(b,m),t)),
% f(apply(apply(b,m),t)))))
% -> (false)
% Current number of equations to process: 822
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [257]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,X))),X)),apply(f(apply(
% apply(m,b),
% apply(t,X))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,X))),X))))
% -> (false)
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [258]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 840
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [259]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,X))),X)),apply(f(apply(
% apply(b,b),
% apply(t,X))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,X))),X))))
% -> (false)
% Current number of equations to process: 845
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [260]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [261]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [262]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,X))),X)),apply(f(apply(
% apply(m,b),
% apply(t,X))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,X))),X))))
% -> (false)
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [263]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [264]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [265]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,X))),X)),apply(f(apply(
% apply(b,b),
% apply(t,X))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,X))),X))))
% -> (false)
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [266]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 926
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [267]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 934
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [268]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,X))),X)),apply(f(apply(
% apply(m,b),
% apply(t,X))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,X))),X))))
% -> (false)
% Current number of equations to process: 937
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [269]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 954
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [270]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 956
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [271]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,X))),X)),apply(f(apply(
% apply(b,b),
% apply(t,X))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,X))),X))))
% -> (false)
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [272]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 976
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [273]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,X))),X)),apply(f(apply(
% apply(m,b),
% apply(t,X))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,X))),X))))
% -> (false)
% Current number of equations to process: 978
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [274]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [275]
% (eq)(apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t),apply(f(apply(m,
% apply(b,
% apply(m,t)))),
% apply(apply(f(
% apply(m,
% apply(b,
% apply(m,t)))),t),t)))
% -> (false)
% Current number of equations to process: 997
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [276]
% (eq)(apply(apply(f(apply(m,apply(b,apply(t,X)))),X),X),apply(f(apply(m,
% apply(b,
% apply(t,X)))),
% apply(apply(f(
% apply(m,
% apply(b,
% apply(t,X)))),X),X)))
% -> (false)
% Current number of equations to process: 999
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [277]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,t))),t)),apply(f(apply(
% apply(b,X),
% apply(m,t))),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1007
% Current number of ordered equations: 2
% Current number of rules: 222
% New rule produced :
% [278]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,t))),t)),apply(f(apply(
% apply(b,X),
% apply(t,t))),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1007
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [279]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(m,t))),t)),apply(f(apply(
% apply(b,X),
% apply(t,t))),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [280]
% (eq)(apply(apply(X,f(apply(apply(b,apply(m,t)),X))),t),apply(f(apply(
% apply(b,
% apply(t,t)),X)),
% apply(apply(X,
% f(apply(
% apply(b,
% apply(t,t)),X))),t)))
% -> (false)
% Current number of equations to process: 1104
% Current number of ordered equations: 2
% Current number of rules: 225
% New rule produced :
% [281]
% (eq)(apply(apply(X,f(apply(apply(b,apply(t,t)),X))),t),apply(f(apply(
% apply(b,
% apply(m,t)),X)),
% apply(apply(X,
% f(apply(
% apply(b,
% apply(t,t)),X))),t)))
% -> (false)
% Current number of equations to process: 1104
% Current number of ordered equations: 1
% Current number of rules: 226
% New rule produced :
% [282]
% (eq)(apply(apply(X,f(apply(apply(b,apply(t,t)),X))),t),apply(f(apply(
% apply(b,
% apply(t,t)),X)),
% apply(apply(X,
% f(apply(
% apply(b,
% apply(m,t)),X))),t)))
% -> (false)
% Current number of equations to process: 1104
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [283]
% (eq)(apply(f(apply(apply(b,apply(t,m)),t)),f(apply(apply(b,apply(t,m)),t))),
% apply(f(apply(apply(b,apply(t,m)),t)),apply(m,f(apply(apply(b,apply(t,m)),t)))))
% -> (false)
% Current number of equations to process: 1165
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [284]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,t))),t)),apply(f(apply(
% apply(b,X),
% apply(m,t))),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1154
% Current number of ordered equations: 2
% Current number of rules: 229
% New rule produced :
% [285]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(m,t))),t)),apply(f(apply(
% apply(b,X),
% apply(m,t))),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1154
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [286]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(m,t))),t)),apply(f(apply(
% apply(b,X),
% apply(t,t))),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1154
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [287]
% (eq)(apply(apply(X,f(apply(apply(b,apply(m,t)),X))),t),apply(f(apply(
% apply(b,
% apply(m,t)),X)),
% apply(apply(X,
% f(apply(
% apply(b,
% apply(t,t)),X))),t)))
% -> (false)
% Current number of equations to process: 1228
% Current number of ordered equations: 2
% Current number of rules: 232
% New rule produced :
% [288]
% (eq)(apply(apply(X,f(apply(apply(b,apply(m,t)),X))),t),apply(f(apply(
% apply(b,
% apply(t,t)),X)),
% apply(apply(X,
% f(apply(
% apply(b,
% apply(m,t)),X))),t)))
% -> (false)
% Current number of equations to process: 1228
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [289]
% (eq)(apply(apply(X,f(apply(apply(b,apply(t,t)),X))),t),apply(f(apply(
% apply(b,
% apply(m,t)),X)),
% apply(apply(X,
% f(apply(
% apply(b,
% apply(m,t)),X))),t)))
% -> (false)
% Current number of equations to process: 1228
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [290]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1285
% Current number of ordered equations: 2
% Current number of rules: 235
% New rule produced :
% [291]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1285
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [292]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1285
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [293]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1284
% Current number of ordered equations: 2
% Current number of rules: 238
% New rule produced :
% [294]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1284
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [295]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1284
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [296]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1288
% Current number of ordered equations: 2
% Current number of rules: 241
% New rule produced :
% [297]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1288
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [298]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(b,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1288
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [299]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1305
% Current number of ordered equations: 2
% Current number of rules: 244
% New rule produced :
% [300]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1305
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [301]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1305
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [302]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1307
% Current number of ordered equations: 3
% Current number of rules: 247
% New rule produced :
% [303]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1307
% Current number of ordered equations: 2
% Current number of rules: 248
% New rule produced :
% [304]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1307
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [305]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1307
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [306]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1319
% Current number of ordered equations: 2
% Current number of rules: 251
% New rule produced :
% [307]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1319
% Current number of ordered equations: 1
% Current number of rules: 252
% New rule produced :
% [308]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1319
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [309]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1314
% Current number of ordered equations: 2
% Current number of rules: 254
% New rule produced :
% [310]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1314
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced :
% [311]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [312]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1316
% Current number of ordered equations: 3
% Current number of rules: 257
% New rule produced :
% [313]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1316
% Current number of ordered equations: 2
% Current number of rules: 258
% New rule produced :
% [314]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1316
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced :
% [315]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [316]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1329
% Current number of ordered equations: 2
% Current number of rules: 261
% New rule produced :
% [317]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1329
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced :
% [318]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,t))),t)),apply(f(apply(
% apply(b,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1329
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [319]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1322
% Current number of ordered equations: 2
% Current number of rules: 264
% New rule produced :
% [320]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1322
% Current number of ordered equations: 1
% Current number of rules: 265
% New rule produced :
% [321]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1322
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [322]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1324
% Current number of ordered equations: 3
% Current number of rules: 267
% New rule produced :
% [323]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1324
% Current number of ordered equations: 2
% Current number of rules: 268
% New rule produced :
% [324]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1324
% Current number of ordered equations: 1
% Current number of rules: 269
% New rule produced :
% [325]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1324
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [326]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1333
% Current number of ordered equations: 2
% Current number of rules: 271
% New rule produced :
% [327]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1333
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [328]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1333
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [329]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1329
% Current number of ordered equations: 2
% Current number of rules: 274
% New rule produced :
% [330]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1329
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [331]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(b,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1329
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [332]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1325
% Current number of ordered equations: 3
% Current number of rules: 277
% New rule produced :
% [333]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1325
% Current number of ordered equations: 2
% Current number of rules: 278
% New rule produced :
% [334]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1325
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [335]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1325
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [336]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1334
% Current number of ordered equations: 2
% Current number of rules: 281
% New rule produced :
% [337]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1334
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [338]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(b,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1334
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [339]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1328
% Current number of ordered equations: 2
% Current number of rules: 284
% New rule produced :
% [340]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(m,t))),t)),apply(f(apply(
% apply(b,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1328
% Current number of ordered equations: 1
% Current number of rules: 285
% New rule produced :
% [341]
% (eq)(apply(b,apply(f(apply(apply(m,b),apply(t,t))),t)),apply(f(apply(
% apply(b,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1328
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [342]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1325
% Current number of ordered equations: 2
% Current number of rules: 287
% New rule produced :
% [343]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1325
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [344]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1325
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [345]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(t,t))),t))))
% -> (false)
% Current number of equations to process: 1319
% Current number of ordered equations: 2
% Current number of rules: 290
% New rule produced :
% [346]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(m,t))),t)),apply(f(apply(
% apply(m,b),
% apply(t,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1319
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [347]
% (eq)(apply(b,apply(f(apply(apply(b,b),apply(t,t))),t)),apply(f(apply(
% apply(m,b),
% apply(m,t))),
% apply(b,apply(
% f(apply(
% apply(m,b),
% apply(m,t))),t))))
% -> (false)
% Current number of equations to process: 1319
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [348]
% (eq)(apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t),apply(f(apply(m,
% apply(b,
% apply(t,t)))),
% apply(apply(f(
% apply(m,
% apply(b,
% apply(m,t)))),t),t)))
% -> (false)
% Current number of equations to process: 1316
% Current number of ordered equations: 2
% Current number of rules: 293
% New rule produced :
% [349]
% (eq)(apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t),apply(f(apply(m,
% apply(b,
% apply(m,t)))),
% apply(apply(f(
% apply(m,
% apply(b,
% apply(t,t)))),t),t)))
% -> (false)
% Current number of equations to process: 1316
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [350]
% (eq)(apply(apply(f(apply(m,apply(b,apply(t,t)))),t),t),apply(f(apply(m,
% apply(b,
% apply(m,t)))),
% apply(apply(f(
% apply(m,
% apply(b,
% apply(m,t)))),t),t)))
% -> (false)
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [351]
% (eq)(apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t),apply(f(apply(m,
% apply(b,
% apply(t,t)))),
% apply(apply(f(
% apply(m,
% apply(b,
% apply(t,t)))),t),t)))
% -> (false)
% Current number of equations to process: 1316
% Current number of ordered equations: 2
% Current number of rules: 296
% New rule produced :
% [352]
% (eq)(apply(apply(f(apply(m,apply(b,apply(t,t)))),t),t),apply(f(apply(m,
% apply(b,
% apply(t,t)))),
% apply(apply(f(
% apply(m,
% apply(b,
% apply(m,t)))),t),t)))
% -> (false)
% Current number of equations to process: 1316
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [353]
% (eq)(apply(apply(f(apply(m,apply(b,apply(t,t)))),t),t),apply(f(apply(m,
% apply(b,
% apply(m,t)))),
% apply(apply(f(
% apply(m,
% apply(b,
% apply(t,t)))),t),t)))
% -> (false)
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [354]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1187
% Current number of ordered equations: 2
% Current number of rules: 299
% New rule produced :
% [355]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1187
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [356]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1187
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [357]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1187
% Current number of ordered equations: 1
% Current number of rules: 302
% New rule produced :
% [358]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1187
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [359]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1179
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [360]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1162
% Current number of ordered equations: 2
% Current number of rules: 305
% New rule produced :
% [361]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1162
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [362]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1162
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [363]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1163
% Current number of ordered equations: 1
% Current number of rules: 308
% New rule produced :
% [364]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [365]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1158
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [366]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1138
% Current number of ordered equations: 2
% Current number of rules: 311
% New rule produced :
% [367]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1138
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [368]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1138
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [369]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1140
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [370]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1140
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [371]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1140
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [372]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1131
% Current number of ordered equations: 2
% Current number of rules: 317
% New rule produced :
% [373]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1131
% Current number of ordered equations: 1
% Current number of rules: 318
% New rule produced :
% [374]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1131
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [375]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1134
% Current number of ordered equations: 1
% Current number of rules: 320
% New rule produced :
% [376]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [377]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [378]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1122
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [379]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1122
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [380]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1122
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [381]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1119
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [382]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1115
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [383]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [384]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [385]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [386]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1106
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [387]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [388]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1104
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [389]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1101
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [390]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1097
% Current number of ordered equations: 1
% Current number of rules: 335
% New rule produced :
% [391]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1097
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [392]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1096
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [393]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1091
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [394]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1088
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [395]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1087
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [396]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1086
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [397]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1085
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [398]
% (eq)(apply(X,apply(m,f(apply(apply(b,X),m)))),apply(f(apply(apply(b,X),m)),
% apply(X,apply(f(apply(apply(b,X),m)),
% f(apply(apply(b,X),m))))))
% -> (false)
% Current number of equations to process: 1084
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [399]
% (eq)(apply(b,apply(m,f(apply(apply(m,b),m)))),apply(f(apply(apply(m,b),m)),
% apply(b,apply(f(apply(apply(m,b),m)),
% f(apply(apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 1118
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [400]
% (eq)(apply(b,apply(m,f(apply(apply(m,b),m)))),apply(f(apply(apply(b,b),m)),
% apply(b,apply(f(apply(apply(b,b),m)),
% f(apply(apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 1122
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [401]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1131
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [402]
% (eq)(apply(b,apply(m,f(apply(apply(b,b),m)))),apply(f(apply(apply(m,b),m)),
% apply(b,apply(f(apply(apply(b,b),m)),
% f(apply(apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 1133
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [403]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 1136
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [404]
% (eq)(apply(b,apply(m,f(apply(apply(b,b),m)))),apply(f(apply(apply(b,b),m)),
% apply(b,apply(f(apply(apply(m,b),m)),
% f(apply(apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 1138
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [405]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1142
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [406]
% (eq)(apply(b,apply(m,f(apply(apply(m,b),m)))),apply(f(apply(apply(m,b),m)),
% apply(b,apply(f(apply(apply(b,b),m)),
% f(apply(apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 1144
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [407]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 1146
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [408]
% (eq)(apply(b,apply(m,f(apply(apply(m,b),m)))),apply(f(apply(apply(b,b),m)),
% apply(b,apply(f(apply(apply(m,b),m)),
% f(apply(apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 1148
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [409]
% (eq)(apply(b,apply(m,f(apply(apply(b,b),m)))),apply(f(apply(apply(m,b),m)),
% apply(b,apply(f(apply(apply(m,b),m)),
% f(apply(apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 1150
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [410] apply(apply(X,Y),X) <-> apply(apply(m,apply(b,apply(t,X))),apply(t,Y))
% Current number of equations to process: 1152
% Current number of ordered equations: 1
% Current number of rules: 355
% New rule produced :
% [411] apply(apply(m,apply(b,apply(t,X))),apply(t,Y)) <-> apply(apply(X,Y),X)
% Current number of equations to process: 1152
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [412] apply(X,apply(Y,Y)) <-> apply(apply(m,apply(b,apply(t,Y))),apply(b,X))
% Current number of equations to process: 1199
% Current number of ordered equations: 3
% Current number of rules: 357
% New rule produced :
% [413] apply(X,apply(X,Y)) <-> apply(apply(apply(m,apply(b,apply(t,X))),b),Y)
% Current number of equations to process: 1199
% Current number of ordered equations: 2
% Current number of rules: 358
% New rule produced :
% [414] apply(apply(m,apply(b,apply(t,Y))),apply(b,X)) <-> apply(X,apply(Y,Y))
% Current number of equations to process: 1199
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [415] apply(apply(apply(m,apply(b,apply(t,X))),b),Y) <-> apply(X,apply(X,Y))
% Current number of equations to process: 1199
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [416]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1262
% Current number of ordered equations: 1
% Current number of rules: 361
% New rule produced :
% [417]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1262
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [418]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1261
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [419]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1260
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [420]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1259
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [421]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1257
% Current number of ordered equations: 1
% Current number of rules: 366
% New rule produced :
% [422]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1257
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [423]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1256
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [424]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1315
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [425]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1313
% Current number of ordered equations: 1
% Current number of rules: 370
% New rule produced :
% [426]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1313
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [427]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1524
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [428]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1522
% Current number of ordered equations: 1
% Current number of rules: 373
% New rule produced :
% [429]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1522
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [430]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1520
% Current number of ordered equations: 1
% Current number of rules: 375
% New rule produced :
% [431]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1520
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [432]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1519
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [433]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1518
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [434]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1517
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [435]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1516
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [436]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 1515
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [437]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1514
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [438]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1513
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [439]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1511
% Current number of ordered equations: 1
% Current number of rules: 384
% New rule produced :
% [440]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1511
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [441]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1509
% Current number of ordered equations: 1
% Current number of rules: 386
% New rule produced :
% [442]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1509
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [443]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1508
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [444]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1507
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [445]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1505
% Current number of ordered equations: 1
% Current number of rules: 390
% New rule produced :
% [446]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1505
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [447]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 1504
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [448]
% (eq)(apply(apply(apply(m,apply(b,apply(t,X))),b),f(apply(apply(b,X),X))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(b,X),X)))))) ->
% (false)
% Current number of equations to process: 1640
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [449]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2172
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [450]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2222
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [451]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2218
% Current number of ordered equations: 3
% Current number of rules: 396
% New rule produced :
% [452]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2218
% Current number of ordered equations: 2
% Current number of rules: 397
% New rule produced :
% [453]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2218
% Current number of ordered equations: 1
% Current number of rules: 398
% New rule produced :
% [454]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [455]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2270
% Current number of ordered equations: 3
% Current number of rules: 400
% New rule produced :
% [456]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2270
% Current number of ordered equations: 2
% Current number of rules: 401
% New rule produced :
% [457]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2270
% Current number of ordered equations: 1
% Current number of rules: 402
% New rule produced :
% [458]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2270
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [459]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2280
% Current number of ordered equations: 2
% Current number of rules: 404
% New rule produced :
% [460]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2280
% Current number of ordered equations: 1
% Current number of rules: 405
% New rule produced :
% [461]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [462]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2290
% Current number of ordered equations: 1
% Current number of rules: 407
% New rule produced :
% [463]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2290
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [464]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2299
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [465]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2319
% Current number of ordered equations: 2
% Current number of rules: 410
% New rule produced :
% [466]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2319
% Current number of ordered equations: 1
% Current number of rules: 411
% New rule produced :
% [467]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2319
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [468]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2329
% Current number of ordered equations: 1
% Current number of rules: 413
% New rule produced :
% [469]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [470]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [471]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2357
% Current number of ordered equations: 1
% Current number of rules: 416
% New rule produced :
% [472]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2357
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [473]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2367
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [474]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2388
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [475]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2419
% Current number of ordered equations: 1
% Current number of rules: 420
% New rule produced :
% [476]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [477]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2429
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [478]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2450
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [479]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2480
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [480]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2521
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [481] apply(apply(X,t),X) <-> apply(apply(m,apply(b,apply(t,X))),apply(m,t))
% Current number of equations to process: 2578
% Current number of ordered equations: 1
% Current number of rules: 426
% New rule produced :
% [482] apply(apply(m,apply(b,apply(t,X))),apply(m,t)) <-> apply(apply(X,t),X)
% Current number of equations to process: 2578
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [483] apply(b,apply(X,X)) <-> apply(apply(m,apply(b,apply(t,X))),apply(m,b))
% Current number of equations to process: 2601
% Current number of ordered equations: 1
% Current number of rules: 428
% New rule produced :
% [484] apply(apply(m,apply(b,apply(t,X))),apply(m,b)) <-> apply(b,apply(X,X))
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [485]
% (eq)(apply(X,apply(X,f(apply(apply(m,apply(b,apply(t,X))),b)))),apply(
% f(apply(
% apply(m,
% apply(b,
% apply(t,X))),b)),
% apply(X,
% apply(X,
% f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 2684
% Current number of ordered equations: 1
% Current number of rules: 430
% New rule produced :
% [486]
% (eq)(apply(X,apply(X,f(apply(apply(m,apply(b,apply(t,X))),b)))),apply(
% f(apply(
% apply(b,X),X)),
% apply(X,
% apply(X,
% f(apply(
% apply(m,
% apply(b,
% apply(t,X))),b))))))
% -> (false)
% Current number of equations to process: 2684
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [487]
% apply(Y,apply(X,apply(apply(b,t),X))) <->
% apply(apply(m,apply(apply(b,t),X)),Y)
% Current number of equations to process: 2723
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [488]
% apply(apply(m,apply(apply(b,t),X)),Y) <->
% apply(Y,apply(X,apply(apply(b,t),X)))
% Current number of equations to process: 2723
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [489] apply(apply(m,apply(apply(b,t),X)),t) -> apply(m,apply(apply(b,t),X))
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [490] apply(apply(m,apply(m,apply(b,t))),t) -> apply(m,apply(m,apply(b,t)))
% Current number of equations to process: 2959
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [491]
% apply(m,apply(m,apply(apply(b,t),X))) <->
% apply(m,apply(X,apply(apply(b,t),X)))
% Current number of equations to process: 2963
% Current number of ordered equations: 1
% Current number of rules: 436
% New rule produced :
% [492]
% apply(m,apply(X,apply(apply(b,t),X))) <->
% apply(m,apply(m,apply(apply(b,t),X)))
% Current number of equations to process: 2963
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [493] apply(m,apply(m,apply(apply(b,t),t))) -> apply(m,apply(apply(b,t),t))
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [494] apply(m,apply(apply(X,X),apply(X,X))) <-> apply(m,apply(m,apply(m,X)))
% Current number of equations to process: 3009
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced :
% [495] apply(m,apply(m,apply(m,X))) <-> apply(m,apply(apply(X,X),apply(X,X)))
% Current number of equations to process: 3009
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [496] apply(m,apply(m,apply(m,X))) <-> apply(m,apply(apply(X,X),apply(m,X)))
% Current number of equations to process: 3010
% Current number of ordered equations: 2
% Current number of rules: 441
% New rule produced :
% [497] apply(m,apply(apply(m,X),apply(X,X))) -> apply(m,apply(m,apply(m,X)))
% Current number of equations to process: 3010
% Current number of ordered equations: 1
% Current number of rules: 442
% New rule produced :
% [498] apply(m,apply(apply(X,X),apply(m,X))) <-> apply(m,apply(m,apply(m,X)))
% Current number of equations to process: 3010
% Current number of ordered equations: 0
% Current number of rules: 443
% Rule [496]
% apply(m,apply(m,apply(m,X))) <-> apply(m,apply(apply(X,X),apply(m,X))) is composed into 
% [496] apply(m,apply(m,apply(m,X))) <-> apply(m,apply(m,apply(X,X)))
% New rule produced :
% [499] apply(m,apply(apply(X,X),apply(m,X))) -> apply(m,apply(m,apply(X,X)))
% Rule
% [498] apply(m,apply(apply(X,X),apply(m,X))) <-> apply(m,apply(m,apply(m,X)))
% collapsed.
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [500] apply(m,apply(apply(b,apply(t,X)),apply(m,t))) <-> apply(apply(X,t),X)
% Rule [216] apply(m,apply(apply(b,apply(t,t)),apply(m,t))) -> apply(t,t)
% collapsed.
% Current number of equations to process: 3092
% Current number of ordered equations: 1
% Current number of rules: 443
% New rule produced :
% [501] apply(apply(X,t),X) <-> apply(m,apply(apply(b,apply(t,X)),apply(m,t)))
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [502]
% (eq)(apply(b,apply(m,f(apply(apply(b,b),m)))),apply(f(apply(apply(b,b),m)),
% apply(b,apply(f(apply(apply(m,b),m)),
% f(apply(apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 3131
% Current number of ordered equations: 1
% Current number of rules: 445
% New rule produced :
% [503]
% (eq)(apply(b,apply(m,f(apply(apply(b,b),m)))),apply(f(apply(apply(b,b),m)),
% apply(b,apply(f(apply(apply(b,b),m)),
% f(apply(apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3131
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [504]
% (eq)(apply(b,apply(m,f(apply(apply(m,b),m)))),apply(f(apply(apply(m,b),m)),
% apply(b,apply(f(apply(apply(b,b),m)),
% f(apply(apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3127
% Current number of ordered equations: 1
% Current number of rules: 447
% New rule produced :
% [505]
% (eq)(apply(b,apply(m,f(apply(apply(m,b),m)))),apply(f(apply(apply(m,b),m)),
% apply(b,apply(f(apply(apply(m,b),m)),
% f(apply(apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 3127
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [506]
% (eq)(apply(b,apply(m,f(apply(apply(m,b),m)))),apply(f(apply(apply(b,b),m)),
% apply(b,apply(f(apply(apply(m,b),m)),
% f(apply(apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 3128
% Current number of ordered equations: 1
% Current number of rules: 449
% New rule produced :
% [507]
% (eq)(apply(b,apply(m,f(apply(apply(m,b),m)))),apply(f(apply(apply(b,b),m)),
% apply(b,apply(f(apply(apply(b,b),m)),
% f(apply(apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3128
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [508]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3121
% Current number of ordered equations: 2
% Current number of rules: 451
% New rule produced :
% [509]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3121
% Current number of ordered equations: 1
% Current number of rules: 452
% New rule produced :
% [510]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3121
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [511]
% (eq)(apply(b,apply(m,f(apply(apply(b,b),m)))),apply(f(apply(apply(m,b),m)),
% apply(b,apply(f(apply(apply(b,b),m)),
% f(apply(apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3124
% Current number of ordered equations: 1
% Current number of rules: 454
% New rule produced :
% [512]
% (eq)(apply(b,apply(m,f(apply(apply(b,b),m)))),apply(f(apply(apply(m,b),m)),
% apply(b,apply(f(apply(apply(m,b),m)),
% f(apply(apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 3124
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [513]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3123
% Current number of ordered equations: 2
% Current number of rules: 456
% New rule produced :
% [514]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3123
% Current number of ordered equations: 1
% Current number of rules: 457
% New rule produced :
% [515]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [516]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3122
% Current number of ordered equations: 2
% Current number of rules: 459
% New rule produced :
% [517]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3122
% Current number of ordered equations: 1
% Current number of rules: 460
% New rule produced :
% [518]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3122
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [519]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3123
% Current number of ordered equations: 2
% Current number of rules: 462
% New rule produced :
% [520]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3123
% Current number of ordered equations: 1
% Current number of rules: 463
% New rule produced :
% [521]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [522] apply(apply(m,apply(b,apply(t,X))),apply(t,X)) -> apply(apply(m,X),X)
% Current number of equations to process: 3124
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [523]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(m,X))))
% -> (false)
% Current number of equations to process: 3134
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [524]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(apply(m,apply(b,apply(t,X))),
% apply(b,f(apply(t,apply(m,X)))))))
% -> (false)
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [525]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(X,X))))
% -> (false)
% Current number of equations to process: 3275
% Current number of ordered equations: 1
% Current number of rules: 468
% New rule produced :
% [526]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(apply(m,apply(b,apply(t,X))),
% apply(b,f(apply(t,apply(X,X)))))))
% -> (false)
% Current number of equations to process: 3275
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [527]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(
% f(
% apply(t,
% apply(X,X))),
% apply(m,X))))
% -> (false)
% Current number of equations to process: 3300
% Current number of ordered equations: 1
% Current number of rules: 470
% New rule produced :
% [528]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(m,X))))
% -> (false)
% Current number of equations to process: 3300
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [529]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(m,X))))
% -> (false)
% Current number of equations to process: 3326
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [530]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(
% f(
% apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false)
% Current number of equations to process: 3334
% Current number of ordered equations: 2
% Current number of rules: 473
% New rule produced :
% [531]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(X,X))))
% -> (false)
% Current number of equations to process: 3334
% Current number of ordered equations: 1
% Current number of rules: 474
% New rule produced :
% [532]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(apply(m,apply(b,apply(t,X))),
% apply(b,f(apply(t,apply(X,X)))))))
% -> (false)
% Current number of equations to process: 3334
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [533]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(apply(m,apply(b,apply(t,X))),
% apply(b,f(apply(t,apply(m,X)))))))
% -> (false)
% Current number of equations to process: 3372
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [534]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(
% f(
% apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false)
% Current number of equations to process: 3381
% Current number of ordered equations: 2
% Current number of rules: 477
% New rule produced :
% [535]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(X,X))))
% -> (false)
% Current number of equations to process: 3381
% Current number of ordered equations: 1
% Current number of rules: 478
% New rule produced :
% [536]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(apply(m,apply(b,apply(t,X))),
% apply(b,f(apply(t,apply(X,X)))))))
% -> (false)
% Current number of equations to process: 3381
% Current number of ordered equations: 0
% Current number of rules: 479
% Rule [412]
% apply(X,apply(Y,Y)) <-> apply(apply(m,apply(b,apply(t,Y))),apply(b,X)) is composed into 
% [412] apply(X,apply(Y,Y)) <-> apply(X,apply(m,Y))
% New rule produced :
% [537] apply(apply(m,apply(b,apply(t,Y))),apply(b,X)) -> apply(X,apply(m,Y))
% Rule
% [414] apply(apply(m,apply(b,apply(t,Y))),apply(b,X)) <-> apply(X,apply(Y,Y))
% collapsed.
% Rule
% [416]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [417]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [418]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [419]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [420]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [421]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [422]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [423]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [424]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [425]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [426]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [427]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [428]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [429]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [430]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [431]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [432]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [433]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [434]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [435]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [436]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [437]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [438]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [439]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [440]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [441]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [442]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [443]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [444]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [445]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [446]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [447]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,X))),apply(b,t))),apply(m,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [449]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [450]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [451]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [452]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [453]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [454]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [455]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [456]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [457]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [458]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [459]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [460]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [461]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [462]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [463]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [464]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [465]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [466]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [467]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [468]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [469]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [470]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [471]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(m,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [472]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [473]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [474]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [475]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [476]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [477]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [478]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [479]
% (eq)(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,f(apply(t,apply(X,X))))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [480]
% (eq)(apply(f(apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(b,t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [523]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(m,X))))
% -> (false) collapsed.
% Rule
% [524]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(apply(m,apply(b,apply(t,X))),
% apply(b,f(apply(t,apply(m,X)))))))
% -> (false) collapsed.
% Rule
% [525]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(X,X))))
% -> (false) collapsed.
% Rule
% [526]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(apply(m,apply(b,apply(t,X))),
% apply(b,f(apply(t,apply(X,X)))))))
% -> (false) collapsed.
% Rule
% [527]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(
% f(
% apply(t,
% apply(X,X))),
% apply(m,X))))
% -> (false) collapsed.
% Rule
% [528]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(m,X))))
% -> (false) collapsed.
% Rule
% [529]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(m,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(m,X))))
% -> (false) collapsed.
% Rule
% [530]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(
% f(
% apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false) collapsed.
% Rule
% [531]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(X,X))))
% -> (false) collapsed.
% Rule
% [532]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(f(apply(t,apply(X,X))),
% apply(apply(m,apply(b,apply(t,X))),
% apply(b,f(apply(t,apply(X,X)))))))
% -> (false) collapsed.
% Rule
% [533]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(m,X))),
% apply(apply(m,apply(b,apply(t,X))),
% apply(b,f(apply(t,apply(m,X)))))))
% -> (false) collapsed.
% Rule
% [534]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(
% f(
% apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false) collapsed.
% Rule
% [535]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(apply(m,apply(b,
% apply(t,X))),
% apply(b,t))),apply(X,X))))
% -> (false) collapsed.
% Rule
% [536]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(apply(m,apply(b,apply(t,X))),
% apply(b,f(apply(t,apply(X,X)))))))
% -> (false) collapsed.
% Current number of equations to process: 3422
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [538] apply(apply(apply(m,apply(b,apply(t,X))),b),X) -> apply(X,apply(m,X))
% Current number of equations to process: 3402
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [539]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(b,X),X)),
% apply(apply(apply(m,apply(b,
% apply(t,X))),b),
% f(apply(apply(b,X),X))))) ->
% (false)
% Current number of equations to process: 3410
% Current number of ordered equations: 0
% Current number of rules: 403
% Rule [483]
% apply(b,apply(X,X)) <-> apply(apply(m,apply(b,apply(t,X))),apply(m,b)) is composed into 
% [483] apply(b,apply(X,X)) <-> apply(b,apply(m,X))
% New rule produced :
% [540] apply(apply(m,apply(b,apply(t,X))),apply(m,b)) -> apply(b,apply(m,X))
% Rule
% [484] apply(apply(m,apply(b,apply(t,X))),apply(m,b)) <-> apply(b,apply(X,X))
% collapsed.
% Current number of equations to process: 3436
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [541]
% apply(apply(m,apply(apply(b,t),X)),m) ->
% apply(m,apply(m,apply(apply(b,t),X)))
% Current number of equations to process: 3441
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [542] apply(m,apply(apply(b,apply(t,X)),apply(t,t))) <-> apply(apply(X,t),X)
% Rule [232] apply(m,apply(apply(b,apply(t,t)),apply(t,t))) -> apply(t,t)
% collapsed.
% Current number of equations to process: 3450
% Current number of ordered equations: 1
% Current number of rules: 404
% New rule produced :
% [543] apply(apply(X,t),X) <-> apply(m,apply(apply(b,apply(t,X)),apply(t,t)))
% Current number of equations to process: 3450
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [544]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3470
% Current number of ordered equations: 1
% Current number of rules: 406
% New rule produced :
% [545]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3470
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [546]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [547]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3465
% Current number of ordered equations: 1
% Current number of rules: 409
% New rule produced :
% [548]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3465
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [549]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3464
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [550]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3460
% Current number of ordered equations: 1
% Current number of rules: 412
% New rule produced :
% [551]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3460
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [552]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3459
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [553]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3455
% Current number of ordered equations: 1
% Current number of rules: 415
% New rule produced :
% [554]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3455
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [555]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3454
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [556]
% apply(apply(m,apply(m,apply(b,t))),m) ->
% apply(m,apply(m,apply(m,apply(b,t))))
% Current number of equations to process: 3399
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [557]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3398
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [558]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3397
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [559]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3396
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [560]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3395
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [561]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3394
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [562]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3396
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [563]
% (eq)(apply(apply(m,apply(b,apply(t,X))),f(apply(m,apply(b,apply(t,X))))),
% apply(f(apply(m,apply(b,apply(t,X)))),apply(apply(f(apply(m,apply(b,apply(t,X)))),X),X)))
% -> (false)
% Current number of equations to process: 3398
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [564]
% (eq)(apply(f(apply(m,apply(apply(b,t),m))),apply(m,apply(apply(b,t),m))),
% apply(f(apply(m,apply(apply(b,t),m))),apply(f(apply(m,apply(apply(b,t),m))),
% apply(m,apply(apply(b,t),m))))) ->
% (false)
% Current number of equations to process: 3408
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [565]
% (eq)(apply(f(apply(apply(b,apply(t,apply(t,X))),t)),X),apply(f(apply(
% apply(b,
% apply(t,
% apply(t,X))),t)),
% apply(f(apply(
% apply(b,
% apply(t,
% apply(t,X))),t)),X)))
% -> (false)
% Current number of equations to process: 3407
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [566]
% (eq)(apply(f(apply(apply(b,apply(t,apply(m,t))),t)),t),apply(f(apply(
% apply(b,
% apply(t,
% apply(m,t))),t)),
% apply(f(apply(
% apply(b,
% apply(t,
% apply(m,t))),t)),t)))
% -> (false)
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [567]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(b,apply(t,t)))),t),t),
% apply(f(apply(m,apply(b,apply(t,t)))),apply(apply(f(apply(m,apply(b,apply(t,t)))),t),t)))
% -> (false)
% Current number of equations to process: 3439
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [568]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(b,apply(m,t)))),t),t),
% apply(f(apply(m,apply(b,apply(m,t)))),apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t)))
% -> (false)
% Current number of equations to process: 3440
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [569]
% (eq)(apply(apply(apply(m,apply(b,apply(t,X))),b),f(apply(apply(m,apply(b,
% apply(t,X))),b))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(b,X),X)))))) ->
% (false)
% Current number of equations to process: 3441
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [570]
% (eq)(apply(apply(apply(m,apply(b,apply(t,X))),b),f(apply(apply(b,X),X))),
% apply(f(apply(apply(m,apply(b,apply(t,X))),b)),apply(X,apply(X,f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 3463
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [571]
% (eq)(apply(apply(apply(m,apply(b,apply(t,X))),b),f(apply(apply(b,X),X))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(m,apply(b,
% apply(t,X))),b))))))
% -> (false)
% Current number of equations to process: 3484
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [572]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3496
% Current number of ordered equations: 2
% Current number of rules: 434
% New rule produced :
% [573]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3496
% Current number of ordered equations: 1
% Current number of rules: 435
% New rule produced :
% [574]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [575]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3500
% Current number of ordered equations: 1
% Current number of rules: 437
% New rule produced :
% [576]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3500
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [577]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3508
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [578]
% (eq)(apply(f(apply(apply(b,apply(t,apply(t,t))),t)),t),apply(f(apply(
% apply(b,
% apply(t,
% apply(m,t))),t)),
% apply(f(apply(
% apply(b,
% apply(t,
% apply(t,t))),t)),t)))
% -> (false)
% Current number of equations to process: 3506
% Current number of ordered equations: 2
% Current number of rules: 440
% New rule produced :
% [579]
% (eq)(apply(f(apply(apply(b,apply(t,apply(t,t))),t)),t),apply(f(apply(
% apply(b,
% apply(t,
% apply(t,t))),t)),
% apply(f(apply(
% apply(b,
% apply(t,
% apply(m,t))),t)),t)))
% -> (false)
% Current number of equations to process: 3506
% Current number of ordered equations: 1
% Current number of rules: 441
% New rule produced :
% [580]
% (eq)(apply(f(apply(apply(b,apply(t,apply(m,t))),t)),t),apply(f(apply(
% apply(b,
% apply(t,
% apply(t,t))),t)),
% apply(f(apply(
% apply(b,
% apply(t,
% apply(t,t))),t)),t)))
% -> (false)
% Current number of equations to process: 3506
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [581]
% (eq)(apply(f(apply(apply(b,apply(t,apply(m,t))),t)),t),apply(f(apply(
% apply(b,
% apply(t,
% apply(m,t))),t)),
% apply(f(apply(
% apply(b,
% apply(t,
% apply(t,t))),t)),t)))
% -> (false)
% Current number of equations to process: 3500
% Current number of ordered equations: 2
% Current number of rules: 443
% New rule produced :
% [582]
% (eq)(apply(f(apply(apply(b,apply(t,apply(m,t))),t)),t),apply(f(apply(
% apply(b,
% apply(t,
% apply(t,t))),t)),
% apply(f(apply(
% apply(b,
% apply(t,
% apply(m,t))),t)),t)))
% -> (false)
% Current number of equations to process: 3500
% Current number of ordered equations: 1
% Current number of rules: 444
% New rule produced :
% [583]
% (eq)(apply(f(apply(apply(b,apply(t,apply(t,t))),t)),t),apply(f(apply(
% apply(b,
% apply(t,
% apply(m,t))),t)),
% apply(f(apply(
% apply(b,
% apply(t,
% apply(m,t))),t)),t)))
% -> (false)
% Current number of equations to process: 3500
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [584]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(b,apply(t,t)))),t),t),
% apply(f(apply(m,apply(b,apply(t,t)))),apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t)))
% -> (false)
% Current number of equations to process: 3498
% Current number of ordered equations: 1
% Current number of rules: 446
% New rule produced :
% [585]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(b,apply(t,t)))),t),t),
% apply(f(apply(m,apply(b,apply(m,t)))),apply(apply(f(apply(m,apply(b,apply(t,t)))),t),t)))
% -> (false)
% Current number of equations to process: 3498
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [586]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(b,apply(m,t)))),t),t),
% apply(f(apply(m,apply(b,apply(t,t)))),apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t)))
% -> (false)
% Current number of equations to process: 3497
% Current number of ordered equations: 1
% Current number of rules: 448
% New rule produced :
% [587]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(b,apply(m,t)))),t),t),
% apply(f(apply(m,apply(b,apply(m,t)))),apply(apply(f(apply(m,apply(b,apply(t,t)))),t),t)))
% -> (false)
% Current number of equations to process: 3497
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [588]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3496
% Current number of ordered equations: 1
% Current number of rules: 450
% New rule produced :
% [589]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [590]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [591]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3491
% Current number of ordered equations: 1
% Current number of rules: 453
% New rule produced :
% [592]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3491
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [593]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3486
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [594]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(b,apply(t,t)))),t),t),
% apply(f(apply(m,apply(b,apply(m,t)))),apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t)))
% -> (false)
% Current number of equations to process: 3478
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [595]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(b,apply(m,t)))),t),t),
% apply(f(apply(m,apply(b,apply(t,t)))),apply(apply(f(apply(m,apply(b,apply(t,t)))),t),t)))
% -> (false)
% Current number of equations to process: 3477
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [596]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false)
% Current number of equations to process: 3476
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [597]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false)
% Current number of equations to process: 3475
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [598]
% apply(X,apply(apply(b,X),apply(m,apply(b,X)))) ->
% apply(m,apply(m,apply(b,X)))
% Current number of equations to process: 3474
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [599]
% apply(b,apply(apply(m,b),apply(m,apply(m,b)))) ->
% apply(m,apply(m,apply(m,b)))
% Current number of equations to process: 3551
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [600]
% (eq)(apply(X,apply(f(apply(apply(b,X),m)),f(apply(apply(b,X),m)))),apply(
% f(
% apply(
% apply(b,X),m)),
% apply(X,
% apply(
% f(
% apply(
% apply(b,X),m)),
% f(
% apply(
% apply(b,X),m))))))
% -> (false)
% Current number of equations to process: 3564
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [601]
% (eq)(apply(apply(f(apply(apply(b,apply(t,X)),m)),f(apply(apply(b,apply(t,X)),m))),X),
% apply(f(apply(apply(b,apply(t,X)),m)),apply(apply(m,f(apply(apply(b,apply(t,X)),m))),X)))
% -> (false)
% Current number of equations to process: 3621
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [602]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),m)),f(apply(apply(b,apply(m,t)),m))),t),
% apply(f(apply(apply(b,apply(m,t)),m)),apply(apply(m,f(apply(apply(b,apply(m,t)),m))),t)))
% -> (false)
% Current number of equations to process: 3652
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [603]
% apply(apply(m,X),apply(t,X)) <->
% apply(apply(m,apply(b,apply(t,apply(t,X)))),m)
% Current number of equations to process: 3656
% Current number of ordered equations: 1
% Current number of rules: 465
% New rule produced :
% [604]
% apply(apply(m,apply(b,apply(t,apply(t,X)))),m) <->
% apply(apply(m,X),apply(t,X))
% Current number of equations to process: 3656
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [605]
% apply(X,apply(apply(m,apply(b,apply(t,X))),b)) ->
% apply(apply(m,apply(b,X)),X)
% Current number of equations to process: 3701
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [606]
% apply(X,apply(m,apply(b,X))) <->
% apply(apply(m,apply(b,apply(t,apply(b,X)))),m)
% Current number of equations to process: 3721
% Current number of ordered equations: 1
% Current number of rules: 468
% New rule produced :
% [607]
% apply(apply(m,apply(b,apply(t,apply(b,X)))),m) <->
% apply(X,apply(m,apply(b,X)))
% Current number of equations to process: 3721
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [608]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3772
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [609]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 3776
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [610]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [611]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [612]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 3807
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [613]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3814
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [614]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3817
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [615]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 3824
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [616]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 3832
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [617]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3840
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [618]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3842
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [619]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 3844
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [620]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 3849
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [621]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3854
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [622]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 3855
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [623]
% apply(apply(m,apply(m,apply(apply(b,b),t))),t) ->
% apply(m,apply(apply(b,b),t))
% Current number of equations to process: 3855
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [624]
% apply(apply(m,apply(m,apply(apply(m,b),t))),t) ->
% apply(m,apply(apply(m,b),t))
% Current number of equations to process: 3859
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [625]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(m,apply(b,
% apply(t,X))),b)),
% apply(X,apply(X,f(apply(
% apply(m,
% apply(b,
% apply(t,X))),b))))))
% -> (false)
% Current number of equations to process: 3862
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [626]
% apply(m,apply(apply(b,apply(t,Y)),apply(t,X))) <->
% apply(apply(apply(X,X),Y),Y)
% Current number of equations to process: 3880
% Current number of ordered equations: 1
% Current number of rules: 488
% New rule produced :
% [627]
% apply(apply(apply(X,X),Y),Y) <->
% apply(m,apply(apply(b,apply(t,Y)),apply(t,X)))
% Current number of equations to process: 3880
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [628] apply(b,apply(X,X)) <-> apply(m,apply(apply(b,apply(t,X)),apply(t,b)))
% Current number of equations to process: 3927
% Current number of ordered equations: 1
% Current number of rules: 490
% New rule produced :
% [629] apply(m,apply(apply(b,apply(t,X)),apply(t,b))) <-> apply(b,apply(X,X))
% Current number of equations to process: 3927
% Current number of ordered equations: 0
% Current number of rules: 491
% Rule [628]
% apply(b,apply(X,X)) <-> apply(m,apply(apply(b,apply(t,X)),apply(t,b))) is composed into 
% [628] apply(b,apply(X,X)) <-> apply(b,apply(m,X))
% New rule produced :
% [630] apply(m,apply(apply(b,apply(t,X)),apply(t,b))) -> apply(b,apply(m,X))
% Rule
% [629] apply(m,apply(apply(b,apply(t,X)),apply(t,b))) <-> apply(b,apply(X,X))
% collapsed.
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [631] apply(m,apply(apply(b,apply(m,t)),apply(t,b))) -> apply(b,apply(m,t))
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [632]
% apply(m,apply(apply(b,apply(m,t)),apply(t,X))) <->
% apply(apply(apply(X,X),t),t)
% Rule [233] apply(m,apply(apply(b,apply(m,t)),apply(t,t))) -> apply(t,t)
% collapsed.
% Rule
% [631] apply(m,apply(apply(b,apply(m,t)),apply(t,b))) -> apply(b,apply(m,t))
% collapsed.
% Current number of equations to process: 4049
% Current number of ordered equations: 1
% Current number of rules: 491
% New rule produced :
% [633]
% apply(apply(apply(X,X),t),t) <->
% apply(m,apply(apply(b,apply(m,t)),apply(t,X)))
% Current number of equations to process: 4049
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [634]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4070
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [635] apply(m,apply(m,apply(b,apply(t,apply(t,apply(t,t)))))) -> apply(t,t)
% Current number of equations to process: 4099
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [636]
% apply(apply(apply(m,X),Y),Y) <->
% apply(m,apply(apply(b,apply(t,Y)),apply(t,X)))
% Current number of equations to process: 4099
% Current number of ordered equations: 1
% Current number of rules: 495
% New rule produced :
% [637]
% apply(m,apply(apply(b,apply(t,Y)),apply(t,X))) <->
% apply(apply(apply(m,X),Y),Y)
% Current number of equations to process: 4099
% Current number of ordered equations: 0
% Current number of rules: 496
% Rule [633]
% apply(apply(apply(X,X),t),t) <->
% apply(m,apply(apply(b,apply(m,t)),apply(t,X))) is composed into 
% [633] apply(apply(apply(X,X),t),t) <-> apply(apply(apply(m,X),t),t)
% New rule produced :
% [638]
% apply(m,apply(apply(b,apply(m,t)),apply(t,X))) ->
% apply(apply(apply(m,X),t),t)
% Rule
% [632]
% apply(m,apply(apply(b,apply(m,t)),apply(t,X))) <->
% apply(apply(apply(X,X),t),t) collapsed.
% Current number of equations to process: 4182
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [639]
% apply(X,apply(X,apply(m,Y))) <->
% apply(m,apply(apply(b,X),apply(t,apply(t,Y))))
% Current number of equations to process: 4188
% Current number of ordered equations: 1
% Current number of rules: 497
% New rule produced :
% [640]
% apply(m,apply(apply(b,X),apply(t,apply(t,Y)))) <->
% apply(X,apply(X,apply(m,Y)))
% Current number of equations to process: 4188
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [641]
% apply(X,apply(X,apply(t,t))) <->
% apply(m,apply(apply(b,X),apply(t,apply(m,t))))
% Current number of equations to process: 4307
% Current number of ordered equations: 1
% Current number of rules: 499
% New rule produced :
% [642]
% apply(m,apply(apply(b,X),apply(t,apply(m,t)))) <->
% apply(X,apply(X,apply(t,t)))
% Current number of equations to process: 4307
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [643]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 4351
% Current number of ordered equations: 2
% Current number of rules: 501
% New rule produced :
% [644]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 4351
% Current number of ordered equations: 1
% Current number of rules: 502
% New rule produced :
% [645]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 4351
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [646]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),m)),f(apply(apply(b,apply(m,t)),m))),t),
% apply(f(apply(apply(b,apply(t,t)),m)),apply(apply(m,f(apply(apply(b,apply(t,t)),m))),t)))
% -> (false)
% Current number of equations to process: 4360
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [647]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),m)),f(apply(apply(b,apply(t,t)),m))),t),
% apply(f(apply(apply(b,apply(m,t)),m)),apply(apply(m,f(apply(apply(b,apply(t,t)),m))),t)))
% -> (false)
% Current number of equations to process: 4366
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [648]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),m)),f(apply(apply(b,apply(t,t)),m))),t),
% apply(f(apply(apply(b,apply(t,t)),m)),apply(apply(m,f(apply(apply(b,apply(m,t)),m))),t)))
% -> (false)
% Current number of equations to process: 4384
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [649]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),m)),f(apply(apply(b,apply(m,t)),m))),t),
% apply(f(apply(apply(b,apply(m,t)),m)),apply(apply(m,f(apply(apply(b,apply(t,t)),m))),t)))
% -> (false)
% Current number of equations to process: 4402
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [650]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),m)),f(apply(apply(b,apply(m,t)),m))),t),
% apply(f(apply(apply(b,apply(t,t)),m)),apply(apply(m,f(apply(apply(b,apply(m,t)),m))),t)))
% -> (false)
% Current number of equations to process: 4404
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [651]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),m)),f(apply(apply(b,apply(t,t)),m))),t),
% apply(f(apply(apply(b,apply(m,t)),m)),apply(apply(m,f(apply(apply(b,apply(m,t)),m))),t)))
% -> (false)
% Current number of equations to process: 4406
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [652]
% (eq)(apply(apply(m,apply(b,apply(t,X))),apply(t,f(apply(apply(b,apply(t,X)),X)))),
% apply(f(apply(apply(b,apply(t,X)),X)),apply(apply(X,f(apply(apply(b,apply(t,X)),X))),X)))
% -> (false)
% Current number of equations to process: 4400
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [653] apply(apply(X,X),apply(X,X)) <-> apply(m,apply(m,X))
% Rule
% [494] apply(m,apply(apply(X,X),apply(X,X))) <-> apply(m,apply(m,apply(m,X)))
% collapsed.
% Current number of equations to process: 4421
% Current number of ordered equations: 1
% Current number of rules: 510
% New rule produced :
% [654] apply(m,apply(m,X)) <-> apply(apply(X,X),apply(X,X))
% Rule
% [495] apply(m,apply(m,apply(m,X))) <-> apply(m,apply(apply(X,X),apply(X,X)))
% collapsed.
% Current number of equations to process: 4421
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [655] apply(apply(X,X),apply(m,X)) <-> apply(m,apply(m,X))
% Rule
% [106]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [200] apply(b,apply(apply(b,b),apply(m,b))) -> apply(b,apply(m,apply(b,b)))
% collapsed.
% Rule
% [205]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [206]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [207]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [208]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [225]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [226]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [227]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [228]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [229]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [230]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [238]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [239]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [240]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [241]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [243]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [267]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [270]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [322]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [323]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [324]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [325]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [332]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [333]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [334]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [335]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [366]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [367]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [368]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [369]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [370]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [371]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [372]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [373]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [374]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [375]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [376]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [377]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [386]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [387]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [388]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [389]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [390]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [391]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [392]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [393]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [396]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [397]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [401]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [403]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [508]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [509]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [510]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [513]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [514]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [515]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [544]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [545]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [546]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [547]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [548]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [549]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [557]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [558]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(b,b),apply(m,b))))),apply(
% f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [561]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [572]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [573]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [574]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [588]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [589]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [590]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [596]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(b,b),
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(b,b),
% apply(m,b)))))))
% -> (false) collapsed.
% Current number of equations to process: 4444
% Current number of ordered equations: 2
% Current number of rules: 438
% New rule produced :
% [656] apply(m,apply(m,X)) <-> apply(apply(X,X),apply(m,X))
% Current number of equations to process: 4444
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced : [657] apply(apply(m,X),apply(X,X)) -> apply(m,apply(m,X))
% Rule
% [105]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [199] apply(b,apply(apply(m,b),apply(b,b))) -> apply(b,apply(m,apply(b,b)))
% collapsed.
% Rule
% [201]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [202]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [203]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [204]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [219]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [220]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [221]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [222]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [223]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [224]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [234]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [235]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [236]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [237]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [242]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [261]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [264]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [302]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [303]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [304]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [305]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [312]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [313]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [314]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [315]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [354]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [355]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [356]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [357]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [358]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [359]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [360]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [361]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [362]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [363]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [364]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [365]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [378]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [379]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [380]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [381]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [382]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [383]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [384]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [385]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [394]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [395]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(m,
% apply(m,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [405]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [407]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [497] apply(m,apply(apply(m,X),apply(X,X))) -> apply(m,apply(m,apply(m,X)))
% collapsed.
% Rule
% [516]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [517]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [518]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [519]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [520]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [521]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [550]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [551]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [552]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [553]
% (eq)(apply(b,apply(apply(b,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [554]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [555]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [559]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(m,
% apply(m,b)))))))
% -> (false) collapsed.
% Rule
% [560]
% (eq)(apply(b,apply(apply(m,b),f(apply(apply(m,b),apply(b,b))))),apply(
% f(apply(m,
% apply(m,b))),
% apply(b,
% apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [562]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [575]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [576]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [577]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [591]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(b,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [592]
% (eq)(apply(b,apply(apply(b,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [593]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(b,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Rule
% [597]
% (eq)(apply(b,apply(apply(m,b),f(apply(m,apply(m,b))))),apply(f(apply(
% apply(m,b),
% apply(b,b))),
% apply(b,apply(
% apply(m,b),
% f(apply(
% apply(m,b),
% apply(b,b)))))))
% -> (false) collapsed.
% Current number of equations to process: 4444
% Current number of ordered equations: 0
% Current number of rules: 366
% Rule [656] apply(m,apply(m,X)) <-> apply(apply(X,X),apply(m,X)) is composed into 
% [656] apply(m,apply(m,X)) <-> apply(m,apply(X,X))
% New rule produced : [658] apply(apply(X,X),apply(m,X)) -> apply(m,apply(X,X))
% Rule
% [499] apply(m,apply(apply(X,X),apply(m,X))) -> apply(m,apply(m,apply(X,X)))
% collapsed.
% Rule [655] apply(apply(X,X),apply(m,X)) <-> apply(m,apply(m,X)) collapsed.
% Current number of equations to process: 4533
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [659]
% apply(X,apply(X,apply(Y,Y))) <->
% apply(m,apply(apply(b,X),apply(t,apply(t,Y))))
% Current number of equations to process: 4565
% Current number of ordered equations: 1
% Current number of rules: 366
% New rule produced :
% [660]
% apply(m,apply(apply(b,X),apply(t,apply(t,Y)))) <->
% apply(X,apply(X,apply(Y,Y)))
% Current number of equations to process: 4565
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [661]
% apply(apply(X,X),apply(t,X)) <->
% apply(apply(m,apply(b,apply(t,apply(t,X)))),m)
% Current number of equations to process: 4801
% Current number of ordered equations: 1
% Current number of rules: 368
% New rule produced :
% [662]
% apply(apply(m,apply(b,apply(t,apply(t,X)))),m) <->
% apply(apply(X,X),apply(t,X))
% Current number of equations to process: 4801
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [663]
% (eq)(apply(X,apply(X,f(apply(apply(m,apply(b,apply(t,X))),b)))),apply(
% f(apply(
% apply(b,X),X)),
% apply(
% apply(
% apply(m,
% apply(b,
% apply(t,X))),b),
% f(apply(
% apply(b,X),X)))))
% -> (false)
% Current number of equations to process: 4816
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [664] apply(X,X) <-> apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t))
% Current number of equations to process: 4838
% Current number of ordered equations: 1
% Current number of rules: 371
% New rule produced :
% [665] apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)) <-> apply(X,X)
% Current number of equations to process: 4838
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [666]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4931
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [667]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4929
% Current number of ordered equations: 1
% Current number of rules: 374
% New rule produced :
% [668]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4929
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [669]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4928
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [670]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4927
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [671]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4925
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [672]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4925
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [673]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4924
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [674]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4923
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [675]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4922
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [676]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4920
% Current number of ordered equations: 1
% Current number of rules: 383
% New rule produced :
% [677]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4920
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [678]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4918
% Current number of ordered equations: 1
% Current number of rules: 385
% New rule produced :
% [679]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4918
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [680]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4917
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [681]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4916
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [682]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4915
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [683]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4914
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [684]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4913
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [685]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4912
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [686]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4911
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [687]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4909
% Current number of ordered equations: 1
% Current number of rules: 394
% New rule produced :
% [688]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4909
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [689]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4907
% Current number of ordered equations: 1
% Current number of rules: 396
% New rule produced :
% [690]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4907
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [691]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4906
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [692]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4905
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [693]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4903
% Current number of ordered equations: 1
% Current number of rules: 400
% New rule produced :
% [694]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4903
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [695]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4902
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [696]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4951
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [697]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4964
% Current number of ordered equations: 1
% Current number of rules: 404
% New rule produced :
% [698]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4964
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [699]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4983
% Current number of ordered equations: 1
% Current number of rules: 406
% New rule produced :
% [700]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4983
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [701]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2049
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [702]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2076
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [703]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2094
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [704]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2115
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [705]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2133
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [706]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2155
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [707]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [708]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2201
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [709]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2224
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [710]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2237
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [711]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [712]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2275
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [713]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [714]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2311
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [715]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2331
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [716]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2350
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [717]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2418
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [718]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2513
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [719]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2559
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [720]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2580
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [721]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [722]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2620
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [723]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2644
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [724]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2665
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [725]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2678
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [726]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2696
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [727]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2722
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [728]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [729]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2787
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [730] apply(X,X) <-> apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t)))
% Current number of equations to process: 3581
% Current number of ordered equations: 1
% Current number of rules: 437
% New rule produced :
% [731] apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))) <-> apply(X,X)
% Current number of equations to process: 3581
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [732]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 3674
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [733]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3672
% Current number of ordered equations: 1
% Current number of rules: 440
% New rule produced :
% [734]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [735]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3671
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [736]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3670
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [737]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3668
% Current number of ordered equations: 1
% Current number of rules: 444
% New rule produced :
% [738]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3668
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [739]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3667
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [740]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 3666
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [741]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3665
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [742]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 3663
% Current number of ordered equations: 1
% Current number of rules: 449
% New rule produced :
% [743]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 3663
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [744]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3661
% Current number of ordered equations: 1
% Current number of rules: 451
% New rule produced :
% [745]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3661
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [746]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3660
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [747]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3659
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [748]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 3658
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [749]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3657
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [750]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3656
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [751]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 3655
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [752]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 3654
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [753]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 3652
% Current number of ordered equations: 1
% Current number of rules: 460
% New rule produced :
% [754]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 3652
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [755]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 3650
% Current number of ordered equations: 1
% Current number of rules: 462
% New rule produced :
% [756]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 3650
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [757]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 3649
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [758]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 3648
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [759]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 3646
% Current number of ordered equations: 1
% Current number of rules: 466
% New rule produced :
% [760]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 3646
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [761]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 3645
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [762]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 3839
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [763]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3854
% Current number of ordered equations: 1
% Current number of rules: 470
% New rule produced :
% [764]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3854
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [765]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3875
% Current number of ordered equations: 1
% Current number of rules: 472
% New rule produced :
% [766]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3875
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [767]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3895
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [768]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3925
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [769]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3943
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [770]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [771]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 3983
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [772]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4008
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [773]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4034
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [774]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4056
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [775]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [776]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [777]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 4116
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [778]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [779]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 4161
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [780]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 4181
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [781]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4203
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [782]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4224
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [783]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 4293
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [784]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4393
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [785]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4443
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [786]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 4465
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [787]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4487
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [788]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 4509
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [789]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 4536
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [790]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 4558
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [791]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4572
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [792]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 4592
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [793]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 4621
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [794]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [795]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false)
% Current number of equations to process: 4697
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [796]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 2618
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [797]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 2626
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [798]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [799]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 2636
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [800]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 2638
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [801]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 2639
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [802]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 2640
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [803]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 2641
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [804] apply(X,X) <-> apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t)))
% Current number of equations to process: 2638
% Current number of ordered equations: 1
% Current number of rules: 511
% New rule produced :
% [805] apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))) <-> apply(X,X)
% Current number of equations to process: 2638
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [806]
% apply(b,apply(apply(b,b),apply(m,apply(m,b)))) ->
% apply(m,apply(m,apply(b,b)))
% Current number of equations to process: 3010
% Current number of ordered equations: 1
% Current number of rules: 513
% New rule produced :
% [807]
% apply(b,apply(apply(m,b),apply(m,apply(b,b)))) ->
% apply(m,apply(m,apply(b,b)))
% Current number of equations to process: 3010
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [808]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),m)),f(apply(apply(b,apply(t,t)),m))),t),
% apply(f(apply(apply(b,apply(t,t)),m)),apply(apply(m,f(apply(apply(b,apply(t,t)),m))),t)))
% -> (false)
% Current number of equations to process: 3021
% Current number of ordered equations: 1
% Current number of rules: 515
% New rule produced :
% [809]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),m)),f(apply(apply(b,apply(m,t)),m))),t),
% apply(f(apply(apply(b,apply(t,t)),m)),apply(apply(m,f(apply(apply(b,apply(t,t)),m))),t)))
% -> (false)
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [810]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),m)),f(apply(apply(b,apply(t,t)),m))),t),
% apply(f(apply(apply(b,apply(m,t)),m)),apply(apply(m,f(apply(apply(b,apply(m,t)),m))),t)))
% -> (false)
% Current number of equations to process: 3024
% Current number of ordered equations: 1
% Current number of rules: 517
% New rule produced :
% [811]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),m)),f(apply(apply(b,apply(m,t)),m))),t),
% apply(f(apply(apply(b,apply(m,t)),m)),apply(apply(m,f(apply(apply(b,apply(m,t)),m))),t)))
% -> (false)
% Current number of equations to process: 3024
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [812]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 2967
% Current number of ordered equations: 1
% Current number of rules: 519
% New rule produced :
% [813]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 2967
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [814]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 2960
% Current number of ordered equations: 1
% Current number of rules: 521
% New rule produced :
% [815]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(b,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 2960
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [816]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 2953
% Current number of ordered equations: 1
% Current number of rules: 523
% New rule produced :
% [817]
% (eq)(apply(b,apply(f(apply(apply(m,b),m)),f(apply(apply(b,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 2953
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [818]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(b,b),m)),
% f(
% apply(
% apply(m,b),m))))))
% -> (false)
% Current number of equations to process: 2950
% Current number of ordered equations: 1
% Current number of rules: 525
% New rule produced :
% [819]
% (eq)(apply(b,apply(f(apply(apply(b,b),m)),f(apply(apply(m,b),m)))),apply(
% f(
% apply(
% apply(m,b),m)),
% apply(b,
% apply(
% f(
% apply(
% apply(m,b),m)),
% f(
% apply(
% apply(b,b),m))))))
% -> (false)
% Current number of equations to process: 2950
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [820]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 2920
% Current number of ordered equations: 3
% Current number of rules: 527
% New rule produced :
% [821]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 2920
% Current number of ordered equations: 2
% Current number of rules: 528
% New rule produced :
% [822]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 2920
% Current number of ordered equations: 1
% Current number of rules: 529
% New rule produced :
% [823]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 3056
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [824] apply(m,apply(m,apply(b,apply(t,apply(t,apply(m,t)))))) -> apply(t,t)
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [825]
% apply(X,apply(X,apply(m,t))) <->
% apply(m,apply(apply(b,X),apply(t,apply(m,t))))
% Current number of equations to process: 3103
% Current number of ordered equations: 1
% Current number of rules: 532
% New rule produced :
% [826]
% apply(m,apply(apply(b,X),apply(t,apply(m,t)))) <->
% apply(X,apply(X,apply(m,t)))
% Current number of equations to process: 3103
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [827]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 3286
% Current number of ordered equations: 1
% Current number of rules: 534
% New rule produced :
% [828]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 3291
% Current number of ordered equations: 2
% Current number of rules: 535
% New rule produced :
% [829]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 3298
% Current number of ordered equations: 1
% Current number of rules: 536
% New rule produced :
% [830]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 3298
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced :
% [831]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 3303
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [832]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 3307
% Current number of ordered equations: 1
% Current number of rules: 539
% New rule produced :
% [833]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 3311
% Current number of ordered equations: 2
% Current number of rules: 540
% New rule produced :
% [834]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 3311
% Current number of ordered equations: 1
% Current number of rules: 541
% New rule produced :
% [835]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 3311
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [836]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),m)),f(apply(apply(b,apply(t,t)),m))),t),
% apply(f(apply(apply(b,apply(m,t)),m)),apply(apply(m,f(apply(apply(b,apply(t,t)),m))),t)))
% -> (false)
% Current number of equations to process: 3326
% Current number of ordered equations: 1
% Current number of rules: 543
% New rule produced :
% [837]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),m)),f(apply(apply(b,apply(m,t)),m))),t),
% apply(f(apply(apply(b,apply(m,t)),m)),apply(apply(m,f(apply(apply(b,apply(t,t)),m))),t)))
% -> (false)
% Current number of equations to process: 3326
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [838]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),m)),f(apply(apply(b,apply(t,t)),m))),t),
% apply(f(apply(apply(b,apply(t,t)),m)),apply(apply(m,f(apply(apply(b,apply(m,t)),m))),t)))
% -> (false)
% Current number of equations to process: 3310
% Current number of ordered equations: 1
% Current number of rules: 545
% New rule produced :
% [839]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),m)),f(apply(apply(b,apply(m,t)),m))),t),
% apply(f(apply(apply(b,apply(t,t)),m)),apply(apply(m,f(apply(apply(b,apply(m,t)),m))),t)))
% -> (false)
% Current number of equations to process: 3310
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [840]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3290
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [841]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3334
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [842]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3367
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [843]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3399
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [844]
% apply(apply(b,apply(X,X)),apply(b,apply(m,X))) ->
% apply(m,apply(b,apply(m,X)))
% Rule
% [568]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(b,apply(m,t)))),t),t),
% apply(f(apply(m,apply(b,apply(m,t)))),apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t)))
% -> (false) collapsed.
% Rule
% [586]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(b,apply(m,t)))),t),t),
% apply(f(apply(m,apply(b,apply(t,t)))),apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t)))
% -> (false) collapsed.
% Rule
% [587]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(b,apply(m,t)))),t),t),
% apply(f(apply(m,apply(b,apply(m,t)))),apply(apply(f(apply(m,apply(b,apply(t,t)))),t),t)))
% -> (false) collapsed.
% Rule
% [595]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(b,apply(m,t)))),t),t),
% apply(f(apply(m,apply(b,apply(t,t)))),apply(apply(f(apply(m,apply(b,apply(t,t)))),t),t)))
% -> (false) collapsed.
% Current number of equations to process: 3430
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [845]
% apply(apply(m,apply(m,X)),apply(m,apply(X,X))) ->
% apply(m,apply(m,apply(X,X)))
% Current number of equations to process: 3442
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [846]
% apply(apply(b,apply(m,X)),apply(b,apply(X,X))) ->
% apply(m,apply(b,apply(m,X)))
% Rule
% [567]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(b,apply(t,t)))),t),t),
% apply(f(apply(m,apply(b,apply(t,t)))),apply(apply(f(apply(m,apply(b,apply(t,t)))),t),t)))
% -> (false) collapsed.
% Rule
% [584]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(b,apply(t,t)))),t),t),
% apply(f(apply(m,apply(b,apply(t,t)))),apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t)))
% -> (false) collapsed.
% Rule
% [585]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(b,apply(t,t)))),t),t),
% apply(f(apply(m,apply(b,apply(m,t)))),apply(apply(f(apply(m,apply(b,apply(t,t)))),t),t)))
% -> (false) collapsed.
% Rule
% [594]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(b,apply(t,t)))),t),t),
% apply(f(apply(m,apply(b,apply(m,t)))),apply(apply(f(apply(m,apply(b,apply(m,t)))),t),t)))
% -> (false) collapsed.
% Current number of equations to process: 3458
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [847]
% apply(apply(m,apply(X,X)),apply(m,apply(m,X))) ->
% apply(m,apply(m,apply(X,X)))
% Current number of equations to process: 3470
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [848]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3484
% Current number of ordered equations: 2
% Current number of rules: 547
% New rule produced :
% [849]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3484
% Current number of ordered equations: 1
% Current number of rules: 548
% New rule produced :
% [850]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3484
% Current number of ordered equations: 0
% Current number of rules: 549
% Rule [664]
% apply(X,X) <-> apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)) is composed into 
% [664] apply(X,X) <-> apply(m,X)
% New rule produced :
% [851] apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)) -> apply(m,X)
% Rule
% [665] apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)) <-> apply(X,X)
% collapsed.
% Rule
% [666]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [667]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [668]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [669]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [670]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [671]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [672]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [673]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [674]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [675]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [676]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [677]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [678]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [679]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [680]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [681]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [682]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [683]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [684]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [685]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [686]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [687]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [688]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [689]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [690]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [691]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [692]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [693]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [694]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [695]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [697]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(m,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [699]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(m,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Current number of equations to process: 3589
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [852] apply(X,X) <-> apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t))
% Current number of equations to process: 3598
% Current number of ordered equations: 1
% Current number of rules: 518
% New rule produced :
% [853] apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)) <-> apply(X,X)
% Current number of equations to process: 3598
% Current number of ordered equations: 0
% Current number of rules: 519
% Rule [730]
% apply(X,X) <-> apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))) is composed into 
% [730] apply(X,X) <-> apply(m,X)
% New rule produced :
% [854] apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))) -> apply(m,X)
% Rule
% [731] apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))) <-> apply(X,X)
% collapsed.
% Rule
% [732]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [733]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [734]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [735]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [736]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [737]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [738]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [739]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [740]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [741]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [742]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [743]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [744]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [745]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [746]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [747]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [748]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [749]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [750]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [751]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [752]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [753]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [754]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [755]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [756]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [757]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [758]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [759]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [760]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [761]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [763]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(m,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [765]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(m,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Current number of equations to process: 3919
% Current number of ordered equations: 0
% Current number of rules: 487
% Rule [804]
% apply(X,X) <-> apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))) is composed into 
% [804] apply(X,X) <-> apply(m,X)
% New rule produced :
% [855] apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))) -> apply(m,X)
% Rule
% [762]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [764]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [766]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [767]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [768]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [769]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [770]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [771]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [772]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [773]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [774]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [775]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [776]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [777]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [778]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [779]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [780]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [781]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [782]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [783]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [784]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [785]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [786]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [787]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [788]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [789]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(m,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [790]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(m,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [791]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [792]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(m,X)))) ->
% (false) collapsed.
% Rule
% [793]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [794]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [795]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,apply(apply(b,apply(t,apply(t,X))),
% apply(t,t)))),apply(f(apply(t,
% apply(X,X))),
% apply(f(apply(t,
% apply(X,X))),
% apply(X,X)))) ->
% (false) collapsed.
% Rule
% [805] apply(m,apply(apply(b,apply(t,apply(t,X))),apply(t,t))) <-> apply(X,X)
% collapsed.
% Current number of equations to process: 3898
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [856]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 3883
% Current number of ordered equations: 2
% Current number of rules: 456
% New rule produced :
% [857]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 3883
% Current number of ordered equations: 1
% Current number of rules: 457
% New rule produced :
% [858]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 3883
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [859]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 3955
% Current number of ordered equations: 1
% Current number of rules: 459
% New rule produced :
% [860]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 3955
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [861]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 3992
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [862]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 4001
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [863]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 3999
% Current number of ordered equations: 2
% Current number of rules: 463
% New rule produced :
% [864]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 3999
% Current number of ordered equations: 1
% Current number of rules: 464
% New rule produced :
% [865]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 3998
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [866]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 3998
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [867]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 3996
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [868]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 3996
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [869]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 3991
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [870]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 3985
% Current number of ordered equations: 1
% Current number of rules: 470
% New rule produced :
% [871]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 3985
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [872]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 3980
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [873]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 3971
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [874]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3951
% Current number of ordered equations: 2
% Current number of rules: 474
% New rule produced :
% [875]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3951
% Current number of ordered equations: 1
% Current number of rules: 475
% New rule produced :
% [876]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3951
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [877]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4003
% Current number of ordered equations: 1
% Current number of rules: 477
% New rule produced :
% [878]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4003
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [879]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4056
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [880]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [870]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4078
% Current number of ordered equations: 3
% Current number of rules: 479
% New rule produced :
% [881]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [873]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4078
% Current number of ordered equations: 2
% Current number of rules: 479
% New rule produced :
% [882]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [872]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4116
% Current number of ordered equations: 1
% Current number of rules: 479
% New rule produced :
% [883]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [871]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4116
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [884]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [863]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4184
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [885]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [868]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4204
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [886]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [864]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4224
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [887]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [865]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4235
% Current number of ordered equations: 1
% Current number of rules: 479
% New rule produced :
% [888]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [867]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4235
% Current number of ordered equations: 0
% Current number of rules: 479
% Rule [852]
% apply(X,X) <-> apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)) is composed into 
% [852] apply(X,X) <-> apply(m,X)
% New rule produced :
% [889] apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)) -> apply(m,X)
% Rule
% [696]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [698]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [700]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [701]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [702]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [703]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [704]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [705]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [706]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [707]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [708]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [709]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [710]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [711]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [712]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [713]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [714]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [715]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [716]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [717]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [718]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [719]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [720]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [721]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [722]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [723]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [724]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(m,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [725]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [726]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [727]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [728]
% (eq)(apply(f(apply(t,apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [729]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(m,apply(b,apply(t,apply(t,X)))),
% apply(t,t))),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [853] apply(apply(m,apply(b,apply(t,apply(t,X)))),apply(t,t)) <-> apply(X,X)
% collapsed.
% Current number of equations to process: 4277
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [890]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4283
% Current number of ordered equations: 1
% Current number of rules: 448
% New rule produced :
% [891]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4283
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [892]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4306
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [893]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4281
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [894]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 4290
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [895]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(t,t)))))
% -> (false)
% Current number of equations to process: 4289
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [896]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false)
% Current number of equations to process: 4285
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [897]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4278
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [898]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4293
% Current number of ordered equations: 1
% Current number of rules: 456
% New rule produced :
% [899]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4293
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [900]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4305
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [901]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [831]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4283
% Current number of ordered equations: 2
% Current number of rules: 458
% New rule produced :
% [902]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [834]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4283
% Current number of ordered equations: 1
% Current number of rules: 458
% New rule produced :
% [903]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [833]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4283
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [904]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [895]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4300
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [905]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [835]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4297
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [906]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [894]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4304
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [907]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [832]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4309
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [908]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [896]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4305
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [909]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [830]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4283
% Current number of ordered equations: 1
% Current number of rules: 458
% New rule produced :
% [910]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [827]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4294
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [911]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [828]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4296
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [912]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [829]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4291
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [913]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4283
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [914]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [644]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4294
% Current number of ordered equations: 1
% Current number of rules: 459
% New rule produced :
% [915]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(X,X)))))
% -> (false)
% Rule
% [862]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(t,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4300
% Current number of ordered equations: 1
% Current number of rules: 459
% New rule produced :
% [916]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [645]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4300
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [917]
% (eq)(apply(f(apply(t,apply(t,apply(X,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [869]
% (eq)(apply(f(apply(t,apply(t,apply(t,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [918]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(X,X))),apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [866]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(t,t))),apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [919]
% (eq)(apply(f(apply(t,apply(t,apply(m,X)))),apply(t,apply(m,X))),apply(
% f(apply(t,
% apply(t,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,X)))),
% apply(t,
% apply(m,X)))))
% -> (false)
% Rule
% [643]
% (eq)(apply(f(apply(t,apply(t,apply(m,t)))),apply(t,apply(m,t))),apply(
% f(apply(t,
% apply(t,
% apply(t,t)))),
% apply(
% f(apply(t,
% apply(t,
% apply(m,t)))),
% apply(t,
% apply(m,t)))))
% -> (false) collapsed.
% Current number of equations to process: 4312
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [920]
% (eq)(apply(apply(f(apply(m,apply(b,apply(t,X)))),X),X),apply(f(apply(m,
% apply(b,
% apply(t,X)))),
% apply(apply(m,
% apply(b,
% apply(t,X))),
% f(apply(m,apply(b,
% apply(t,X)))))))
% -> (false)
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [921]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4311
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [922]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(X,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4319
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [923]
% (eq)(apply(apply(apply(m,apply(b,apply(t,X))),b),f(apply(apply(b,X),X))),
% apply(f(apply(apply(b,X),X)),apply(apply(apply(m,apply(b,apply(t,X))),b),
% f(apply(apply(b,X),X))))) -> (false)
% Current number of equations to process: 4261
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [924]
% (eq)(apply(apply(apply(m,apply(b,apply(t,X))),b),f(apply(apply(m,apply(b,
% apply(t,X))),b))),
% apply(f(apply(apply(m,apply(b,apply(t,X))),b)),apply(X,apply(X,f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 4283
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [925]
% (eq)(apply(apply(apply(m,apply(b,apply(t,X))),b),f(apply(apply(m,apply(b,
% apply(t,X))),b))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(m,apply(b,
% apply(t,X))),b))))))
% -> (false)
% Current number of equations to process: 4300
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [926]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(X,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4296
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [927]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(m,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4298
% Current number of ordered equations: 1
% Current number of rules: 467
% New rule produced :
% [928]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4298
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [929]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4353
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [930]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4374
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [931]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4394
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [932]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4285
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [933]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4305
% Current number of ordered equations: 1
% Current number of rules: 473
% New rule produced :
% [934]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4305
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [935]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4344
% Current number of ordered equations: 1
% Current number of rules: 475
% New rule produced :
% [936]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(X,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [937]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(m,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4369
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [938]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4383
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [939]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4392
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [940]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(m,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4398
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [941]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4406
% Current number of ordered equations: 1
% Current number of rules: 481
% New rule produced :
% [942]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4406
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [943]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(m,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4422
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [944]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(m,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4431
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [945]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(X,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4436
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [946]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4440
% Current number of ordered equations: 1
% Current number of rules: 486
% New rule produced :
% [947]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4440
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [948]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(m,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4448
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [949]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(X,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4450
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [950]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4454
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [951]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(m,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(m,X))))) -> (false)
% Current number of equations to process: 4456
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [952]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(m,apply(m,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4462
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [953]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(apply(X,X),apply(X,X))),
% apply(f(apply(t,apply(m,apply(m,X)))),apply(f(apply(t,apply(m,apply(m,X)))),
% apply(m,apply(X,X))))) -> (false)
% Current number of equations to process: 4467
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [954]
% apply(X,apply(apply(b,X),apply(Y,Z))) <->
% apply(apply(apply(m,apply(b,apply(b,X))),Y),Z)
% Current number of equations to process: 4245
% Current number of ordered equations: 1
% Current number of rules: 494
% New rule produced :
% [955]
% apply(apply(apply(m,apply(b,apply(b,X))),Y),Z) <->
% apply(X,apply(apply(b,X),apply(Y,Z)))
% Current number of equations to process: 4245
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [956]
% apply(apply(apply(m,apply(b,apply(b,X))),b),X) ->
% apply(X,apply(m,apply(b,X)))
% Current number of equations to process: 4251
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [957]
% apply(apply(apply(m,apply(b,apply(m,b))),b),b) ->
% apply(b,apply(m,apply(b,b)))
% Current number of equations to process: 4612
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [958]
% apply(apply(apply(m,apply(b,apply(m,b))),X),Y) ->
% apply(b,apply(apply(m,b),apply(X,Y)))
% Rule
% [957]
% apply(apply(apply(m,apply(b,apply(m,b))),b),b) ->
% apply(b,apply(m,apply(b,b))) collapsed.
% Current number of equations to process: 4615
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [959]
% apply(apply(X,X),X) <->
% apply(apply(m,apply(b,apply(t,apply(b,apply(t,X))))),m)
% Current number of equations to process: 4693
% Current number of ordered equations: 1
% Current number of rules: 498
% New rule produced :
% [960]
% apply(apply(m,apply(b,apply(t,apply(b,apply(t,X))))),m) <->
% apply(apply(X,X),X)
% Current number of equations to process: 4693
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [961]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(m,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),t),t)))
% -> (false)
% Current number of equations to process: 4718
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [962]
% apply(apply(X,apply(apply(b,apply(t,Y)),X)),Y) ->
% apply(m,apply(apply(b,apply(t,Y)),X))
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [963]
% apply(X,apply(apply(b,apply(t,X)),t)) <->
% apply(m,apply(apply(b,apply(t,X)),t))
% Current number of equations to process: 4743
% Current number of ordered equations: 1
% Current number of rules: 502
% New rule produced :
% [964]
% apply(m,apply(apply(b,apply(t,X)),t)) <->
% apply(X,apply(apply(b,apply(t,X)),t))
% Current number of equations to process: 4743
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [965]
% apply(apply(m,apply(apply(b,apply(t,X)),b)),Y) <->
% apply(apply(b,apply(X,Y)),X)
% Current number of equations to process: 4764
% Current number of ordered equations: 3
% Current number of rules: 504
% New rule produced :
% [966]
% apply(X,apply(X,apply(Y,Y))) <->
% apply(m,apply(apply(b,apply(t,Y)),apply(b,X)))
% Current number of equations to process: 4764
% Current number of ordered equations: 2
% Current number of rules: 505
% New rule produced :
% [967]
% apply(m,apply(apply(b,apply(t,Y)),apply(b,X))) <->
% apply(X,apply(X,apply(Y,Y)))
% Current number of equations to process: 4764
% Current number of ordered equations: 1
% Current number of rules: 506
% New rule produced :
% [968]
% apply(apply(b,apply(X,Y)),X) <->
% apply(apply(m,apply(apply(b,apply(t,X)),b)),Y)
% Current number of equations to process: 4764
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [969]
% apply(b,apply(b,apply(X,X))) <->
% apply(m,apply(apply(b,apply(t,X)),apply(m,b)))
% Current number of equations to process: 4763
% Current number of ordered equations: 1
% Current number of rules: 508
% New rule produced :
% [970]
% apply(m,apply(apply(b,apply(t,X)),apply(m,b))) <->
% apply(b,apply(b,apply(X,X)))
% Current number of equations to process: 4763
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [971]
% apply(m,apply(apply(b,apply(t,t)),t)) <->
% apply(t,apply(apply(b,apply(m,t)),t))
% Current number of equations to process: 4781
% Current number of ordered equations: 1
% Current number of rules: 510
% New rule produced :
% [972]
% apply(t,apply(apply(b,apply(m,t)),t)) <->
% apply(m,apply(apply(b,apply(t,t)),t))
% Current number of equations to process: 4781
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [973] apply(X,X) <-> apply(m,apply(apply(b,apply(t,apply(t,X))),t))
% Current number of equations to process: 4787
% Current number of ordered equations: 1
% Current number of rules: 512
% New rule produced :
% [974] apply(m,apply(apply(b,apply(t,apply(t,X))),t)) <-> apply(X,X)
% Current number of equations to process: 4787
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [975] apply(m,apply(apply(b,apply(t,apply(m,t))),t)) -> apply(m,t)
% Current number of equations to process: 4816
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [976]
% apply(m,apply(apply(b,apply(m,t)),t)) <->
% apply(t,apply(apply(b,apply(t,t)),t))
% Current number of equations to process: 4914
% Current number of ordered equations: 1
% Current number of rules: 515
% New rule produced :
% [977]
% apply(t,apply(apply(b,apply(t,t)),t)) <->
% apply(m,apply(apply(b,apply(m,t)),t))
% Current number of equations to process: 4914
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [978]
% apply(apply(m,apply(apply(b,apply(m,t)),b)),X) ->
% apply(apply(b,apply(t,X)),t)
% Current number of equations to process: 2852
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [979]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(m,X)))))))
% -> (false)
% Current number of equations to process: 2895
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [980]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(X,X)))))))
% -> (false)
% Current number of equations to process: 2895
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [981]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(m,X)))))))
% -> (false)
% Current number of equations to process: 2897
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [982]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(X,X)))))))
% -> (false)
% Current number of equations to process: 2902
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [983]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(m,X)))))))
% -> (false)
% Current number of equations to process: 2902
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [984]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(X,X)))))))
% -> (false)
% Current number of equations to process: 2912
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [985]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(m,X)))))))
% -> (false)
% Current number of equations to process: 2950
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [986]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(X,X)))))))
% -> (false)
% Current number of equations to process: 2950
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [987]
% apply(X,apply(X,apply(m,Y))) <->
% apply(m,apply(apply(b,apply(t,Y)),apply(b,X)))
% Current number of equations to process: 3229
% Current number of ordered equations: 1
% Current number of rules: 526
% New rule produced :
% [988]
% apply(m,apply(apply(b,apply(t,Y)),apply(b,X))) <->
% apply(X,apply(X,apply(m,Y)))
% Rule
% [979]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(m,X)))))))
% -> (false) collapsed.
% Rule
% [980]
% (eq)(apply(f(apply(t,apply(m,X))),apply(X,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(X,X)))))))
% -> (false) collapsed.
% Rule
% [981]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(m,X)))))))
% -> (false) collapsed.
% Rule
% [982]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(X,X)))))))
% -> (false) collapsed.
% Rule
% [983]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(m,X)))))))
% -> (false) collapsed.
% Rule
% [984]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(X,X)))))))
% -> (false) collapsed.
% Rule
% [985]
% (eq)(apply(f(apply(t,apply(X,X))),apply(m,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(m,X)))))))
% -> (false) collapsed.
% Rule
% [986]
% (eq)(apply(f(apply(t,apply(m,X))),apply(m,X)),apply(m,apply(apply(b,apply(t,X)),
% apply(b,f(apply(t,
% apply(X,X)))))))
% -> (false) collapsed.
% Current number of equations to process: 3229
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [989]
% apply(X,apply(X,apply(t,t))) <->
% apply(m,apply(apply(b,apply(m,t)),apply(b,X)))
% Current number of equations to process: 3289
% Current number of ordered equations: 1
% Current number of rules: 520
% New rule produced :
% [990]
% apply(m,apply(apply(b,apply(m,t)),apply(b,X))) <->
% apply(X,apply(X,apply(t,t)))
% Current number of equations to process: 3289
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [991]
% apply(apply(m,apply(apply(b,apply(t,X)),b)),X) ->
% apply(apply(b,apply(m,X)),X)
% Current number of equations to process: 3384
% Current number of ordered equations: 0
% Current number of rules: 522
% Rule [969]
% apply(b,apply(b,apply(X,X))) <->
% apply(m,apply(apply(b,apply(t,X)),apply(m,b))) is composed into 
% [969] apply(b,apply(b,apply(X,X))) <-> apply(b,apply(b,apply(m,X)))
% New rule produced :
% [992]
% apply(m,apply(apply(b,apply(t,X)),apply(m,b))) ->
% apply(b,apply(b,apply(m,X)))
% Rule
% [970]
% apply(m,apply(apply(b,apply(t,X)),apply(m,b))) <->
% apply(b,apply(b,apply(X,X))) collapsed.
% Current number of equations to process: 3480
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [993]
% apply(m,apply(apply(b,apply(m,t)),t)) <->
% apply(t,apply(apply(b,apply(m,t)),t))
% Current number of equations to process: 3490
% Current number of ordered equations: 1
% Current number of rules: 523
% New rule produced :
% [994]
% apply(t,apply(apply(b,apply(m,t)),t)) <->
% apply(m,apply(apply(b,apply(m,t)),t))
% Current number of equations to process: 3490
% Current number of ordered equations: 0
% Current number of rules: 524
% Rule [973] apply(X,X) <-> apply(m,apply(apply(b,apply(t,apply(t,X))),t)) is composed into 
% [973] apply(X,X) <-> apply(m,X)
% New rule produced :
% [995] apply(m,apply(apply(b,apply(t,apply(t,X))),t)) -> apply(m,X)
% Rule [974] apply(m,apply(apply(b,apply(t,apply(t,X))),t)) <-> apply(X,X)
% collapsed.
% Current number of equations to process: 3583
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [996]
% apply(X,apply(X,apply(m,t))) <->
% apply(m,apply(apply(b,apply(m,t)),apply(b,X)))
% Current number of equations to process: 3911
% Current number of ordered equations: 1
% Current number of rules: 525
% New rule produced :
% [997]
% apply(m,apply(apply(b,apply(m,t)),apply(b,X))) <->
% apply(X,apply(X,apply(m,t)))
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [998]
% apply(m,apply(apply(b,apply(m,t)),apply(m,b))) ->
% apply(b,apply(b,apply(t,t)))
% Current number of equations to process: 3995
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [999]
% (eq)(apply(f(apply(apply(b,apply(t,apply(t,apply(X,X)))),t)),apply(X,X)),
% apply(f(apply(apply(b,apply(t,apply(t,apply(X,X)))),t)),apply(f(apply(
% apply(b,
% apply(t,
% apply(t,
% apply(X,X)))),t)),
% apply(m,X)))) ->
% (false)
% Current number of equations to process: 4322
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [1000]
% apply(apply(X,apply(apply(b,apply(m,t)),X)),t) ->
% apply(m,apply(apply(b,apply(m,t)),X))
% Current number of equations to process: 4334
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [1001]
% apply(X,apply(X,apply(apply(b,X),X))) <->
% apply(m,apply(apply(m,apply(b,apply(t,X))),b))
% Current number of equations to process: 4363
% Current number of ordered equations: 1
% Current number of rules: 530
% New rule produced :
% [1002]
% apply(m,apply(apply(m,apply(b,apply(t,X))),b)) <->
% apply(X,apply(X,apply(apply(b,X),X)))
% Current number of equations to process: 4363
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [1003]
% apply(apply(m,apply(b,apply(t,X))),apply(m,X)) ->
% apply(m,apply(m,apply(b,apply(t,X))))
% Current number of equations to process: 4394
% Current number of ordered equations: 1
% Current number of rules: 532
% New rule produced :
% [1004]
% apply(apply(apply(m,apply(b,apply(t,X))),m),X) ->
% apply(m,apply(m,apply(b,apply(t,X))))
% Current number of equations to process: 4394
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [1005]
% apply(apply(X,X),apply(m,apply(X,X))) <->
% apply(m,apply(apply(b,apply(X,X)),apply(t,X)))
% Current number of equations to process: 4488
% Current number of ordered equations: 1
% Current number of rules: 534
% New rule produced :
% [1006]
% apply(m,apply(apply(b,apply(X,X)),apply(t,X))) <->
% apply(apply(X,X),apply(m,apply(X,X)))
% Current number of equations to process: 4488
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [1007]
% (eq)(apply(f(apply(t,apply(m,apply(apply(b,t),t)))),apply(m,apply(apply(b,t),t))),
% apply(m,apply(apply(b,f(apply(t,apply(m,apply(apply(b,t),t))))),apply(m,
% apply(
% apply(b,t),t)))))
% -> (false)
% Current number of equations to process: 4513
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [1008]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4512
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced :
% [1009]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(apply(X,X),
% apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4521
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [1010]
% apply(apply(m,apply(b,apply(t,X))),apply(X,X)) ->
% apply(m,apply(m,apply(b,apply(t,X))))
% Current number of equations to process: 4525
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [1011]
% apply(m,apply(apply(b,apply(m,X)),apply(t,X))) ->
% apply(apply(m,X),apply(m,apply(m,X)))
% Current number of equations to process: 4533
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [1012]
% (eq)(apply(apply(f(apply(apply(b,apply(t,X)),apply(t,Y))),Y),X),apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(t,Y))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(t,Y))),Y),X)))
% -> (false)
% Current number of equations to process: 4596
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [1013]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(t,X))),X),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,X))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,X))),X),t)))
% -> (false)
% Current number of equations to process: 4725
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [1014]
% (eq)(apply(X,apply(f(apply(apply(b,apply(t,Y)),apply(b,X))),Y)),apply(
% f(apply(
% apply(b,
% apply(t,Y)),
% apply(b,X))),
% apply(X,
% apply(
% f(apply(
% apply(b,
% apply(t,Y)),
% apply(b,X))),Y))))
% -> (false)
% Current number of equations to process: 4780
% Current number of ordered equations: 0
% Current number of rules: 543
% New rule produced :
% [1015]
% (eq)(apply(apply(f(apply(apply(b,apply(t,X)),apply(m,t))),t),X),apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(m,t))),t),X)))
% -> (false)
% Current number of equations to process: 4901
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [1016]
% (eq)(apply(b,apply(f(apply(apply(b,apply(t,X)),apply(m,b))),X)),apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(m,b))),
% apply(b,
% apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(m,b))),X))))
% -> (false)
% Current number of equations to process: 4947
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [1017]
% (eq)(apply(m,f(apply(apply(b,apply(t,m)),t))),apply(f(apply(apply(b,apply(t,m)),t)),
% apply(f(apply(apply(b,apply(t,m)),t)),
% f(apply(apply(b,apply(t,m)),t)))))
% -> (false)
% Current number of equations to process: 4993
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [1018]
% (eq)(apply(X,apply(f(apply(apply(b,apply(m,t)),apply(b,X))),t)),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(b,X))),
% apply(X,
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(b,X))),t))))
% -> (false)
% Current number of equations to process: 4990
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [1019]
% (eq)(apply(b,apply(f(apply(apply(b,apply(m,t)),apply(m,b))),t)),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,b))),
% apply(b,
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,b))),t))))
% -> (false)
% Current number of equations to process: 1194
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [1020]
% (eq)(apply(apply(f(apply(apply(b,apply(t,X)),apply(t,t))),t),X),apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(t,t))),t),X)))
% -> (false)
% Current number of equations to process: 1199
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [1021]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(t,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,t))),t),t)))
% -> (false)
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [1022]
% (eq)(apply(apply(f(apply(apply(b,apply(t,X)),apply(t,t))),t),X),apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(t,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(m,t))),t),X)))
% -> (false)
% Current number of equations to process: 1272
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [1023]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(t,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),t),t)))
% -> (false)
% Current number of equations to process: 1342
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [1024]
% (eq)(apply(apply(f(apply(apply(b,apply(t,X)),apply(m,t))),t),X),apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(t,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(t,t))),t),X)))
% -> (false)
% Current number of equations to process: 1348
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [1025]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(m,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,t))),t),t)))
% -> (false)
% Current number of equations to process: 1418
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [1026]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(t,X))),X),t),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(t,X))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(t,X))),X),t)))
% -> (false)
% Current number of equations to process: 1424
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [1027]
% (eq)(apply(X,apply(f(apply(apply(b,apply(m,t)),apply(b,X))),t)),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(b,X))),
% apply(X,
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(b,X))),t))))
% -> (false)
% Current number of equations to process: 1489
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [1028]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(m,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,t))),t),t)))
% -> (false)
% Current number of equations to process: 1558
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [1029]
% (eq)(apply(b,apply(f(apply(apply(b,apply(m,t)),apply(m,b))),t)),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,b))),
% apply(b,
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,b))),t))))
% -> (false)
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [1030]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(t,X))),X),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,X))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(t,X))),X),t)))
% -> (false)
% Current number of equations to process: 1570
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [1031]
% (eq)(apply(X,apply(f(apply(apply(b,apply(t,t)),apply(b,X))),t)),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(b,X))),
% apply(X,
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(b,X))),t))))
% -> (false)
% Current number of equations to process: 1618
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [1032]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(m,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,t))),t),t)))
% -> (false)
% Current number of equations to process: 1682
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [1033]
% (eq)(apply(b,apply(f(apply(apply(b,apply(t,t)),apply(m,b))),t)),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,b))),
% apply(b,
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,b))),t))))
% -> (false)
% Current number of equations to process: 1688
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [1034]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(t,X))),X),t),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(t,X))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,X))),X),t)))
% -> (false)
% Current number of equations to process: 1694
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [1035]
% (eq)(apply(X,apply(f(apply(apply(b,apply(t,t)),apply(b,X))),t)),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(b,X))),
% apply(X,
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(b,X))),t))))
% -> (false)
% Current number of equations to process: 1742
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [1036]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(m,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),t),t)))
% -> (false)
% Current number of equations to process: 1807
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [1037]
% (eq)(apply(b,apply(f(apply(apply(b,apply(t,t)),apply(m,b))),t)),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,b))),
% apply(b,
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,b))),t))))
% -> (false)
% Current number of equations to process: 1813
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [1038]
% (eq)(apply(apply(f(apply(apply(b,apply(t,X)),apply(t,t))),t),X),apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(m,t))),t),X)))
% -> (false)
% Current number of equations to process: 1819
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced :
% [1039]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(t,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),t),t)))
% -> (false)
% Current number of equations to process: 1859
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [1040]
% (eq)(apply(apply(f(apply(apply(b,apply(t,X)),apply(m,t))),t),X),apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(t,t))),t),X)))
% -> (false)
% Current number of equations to process: 1861
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [1041]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(m,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,t))),t),t)))
% -> (false)
% Current number of equations to process: 1919
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [1042]
% (eq)(apply(apply(f(apply(apply(b,apply(t,X)),apply(m,t))),t),X),apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(t,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,X)),
% apply(m,t))),t),X)))
% -> (false)
% Current number of equations to process: 1921
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [1043]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(m,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),t),t)))
% -> (false)
% Current number of equations to process: 1979
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [1044]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(t,X))),X),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,X))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(t,X))),X),t)))
% -> (false)
% Current number of equations to process: 1981
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [1045]
% (eq)(apply(X,apply(f(apply(apply(b,apply(m,t)),apply(b,X))),t)),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(b,X))),
% apply(X,
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(b,X))),t))))
% -> (false)
% Current number of equations to process: 2021
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [1046]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(m,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,t))),t),t)))
% -> (false)
% Current number of equations to process: 2074
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [1047]
% (eq)(apply(b,apply(f(apply(apply(b,apply(m,t)),apply(m,b))),t)),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,b))),
% apply(b,
% apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,b))),t))))
% -> (false)
% Current number of equations to process: 2076
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [1048]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(t,X))),X),t),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(t,X))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,X))),X),t)))
% -> (false)
% Current number of equations to process: 2078
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [1049]
% (eq)(apply(X,apply(f(apply(apply(b,apply(m,t)),apply(b,X))),t)),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(b,X))),
% apply(X,
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(b,X))),t))))
% -> (false)
% Current number of equations to process: 2116
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [1050]
% (eq)(apply(apply(f(apply(apply(b,apply(m,t)),apply(m,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),t),t)))
% -> (false)
% Current number of equations to process: 2186
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [1051]
% (eq)(apply(b,apply(f(apply(apply(b,apply(m,t)),apply(m,b))),t)),apply(
% f(apply(
% apply(b,
% apply(t,t)),
% apply(m,b))),
% apply(b,
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,b))),t))))
% -> (false)
% Current number of equations to process: 2188
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [1052]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(t,X))),X),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,X))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(t,X))),X),t)))
% -> (false)
% Current number of equations to process: 2190
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [1053]
% (eq)(apply(X,apply(f(apply(apply(b,apply(t,t)),apply(b,X))),t)),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(b,X))),
% apply(X,
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(b,X))),t))))
% -> (false)
% Current number of equations to process: 2230
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [1054]
% (eq)(apply(apply(f(apply(apply(b,apply(t,t)),apply(m,t))),t),t),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),
% apply(
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,t))),t),t)))
% -> (false)
% Current number of equations to process: 2295
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [1055]
% (eq)(apply(b,apply(f(apply(apply(b,apply(t,t)),apply(m,b))),t)),apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,b))),
% apply(b,
% apply(
% f(apply(
% apply(b,
% apply(m,t)),
% apply(m,b))),t))))
% -> (false)
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [1056]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(m,apply(b,apply(t,apply(t,Y)))),b),X)
% Current number of equations to process: 2293
% Current number of ordered equations: 1
% Current number of rules: 585
% New rule produced :
% [1057]
% apply(apply(apply(m,apply(b,apply(t,apply(t,Y)))),b),X) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [1058]
% (eq)(apply(X,apply(X,f(apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),b)))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(b,X),X)))))) ->
% (false)
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [1059] apply(X,X) <-> apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t)
% Current number of equations to process: 2401
% Current number of ordered equations: 1
% Current number of rules: 588
% New rule produced :
% [1060] apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t) <-> apply(X,X)
% Current number of equations to process: 2401
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [1061]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(apply(m,
% apply(b,
% apply(t,
% apply(t,X)))),b),b)),
% apply(X,apply(X,f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 2399
% Current number of ordered equations: 1
% Current number of rules: 590
% New rule produced :
% [1062]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(b,X),X)),
% apply(X,apply(X,f(apply(
% apply(
% apply(m,
% apply(b,
% apply(t,
% apply(t,X)))),b),b))))))
% -> (false)
% Current number of equations to process: 2399
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [1063]
% (eq)(apply(X,apply(X,f(apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),b)))),
% apply(f(apply(apply(m,apply(b,apply(t,X))),b)),apply(X,apply(X,f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 2398
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [1064]
% (eq)(apply(X,apply(X,f(apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),b)))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(m,apply(b,
% apply(t,X))),b))))))
% -> (false)
% Current number of equations to process: 2397
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced :
% [1065]
% (eq)(apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),f(apply(m,apply(b,
% apply(t,X))))),
% apply(f(apply(m,apply(b,apply(t,X)))),apply(apply(f(apply(m,apply(b,apply(t,X)))),X),X)))
% -> (false)
% Current number of equations to process: 2444
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced :
% [1066]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2760
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [1067]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2758
% Current number of ordered equations: 1
% Current number of rules: 596
% New rule produced :
% [1068]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2758
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [1069]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2757
% Current number of ordered equations: 0
% Current number of rules: 598
% New rule produced :
% [1070]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2756
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [1071]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2755
% Current number of ordered equations: 0
% Current number of rules: 600
% New rule produced :
% [1072]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2753
% Current number of ordered equations: 1
% Current number of rules: 601
% New rule produced :
% [1073]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [1074]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 603
% New rule produced :
% [1075]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [1076]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2749
% Current number of ordered equations: 1
% Current number of rules: 605
% New rule produced :
% [1077]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 606
% New rule produced :
% [1078]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2747
% Current number of ordered equations: 1
% Current number of rules: 607
% New rule produced :
% [1079]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 608
% New rule produced :
% [1080]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2746
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [1081]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2745
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [1082]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2744
% Current number of ordered equations: 0
% Current number of rules: 611
% New rule produced :
% [1083]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2743
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [1084]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2742
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [1085]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2741
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [1086]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2740
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced :
% [1087]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2738
% Current number of ordered equations: 1
% Current number of rules: 616
% New rule produced :
% [1088]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2738
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [1089]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2736
% Current number of ordered equations: 1
% Current number of rules: 618
% New rule produced :
% [1090]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2736
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [1091]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2735
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [1092]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2734
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [1093]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2732
% Current number of ordered equations: 1
% Current number of rules: 622
% New rule produced :
% [1094]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false)
% Current number of equations to process: 2732
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [1095]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% Current number of equations to process: 2731
% Current number of ordered equations: 0
% Current number of rules: 624
% Rule [1059]
% apply(X,X) <-> apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t) is composed into 
% [1059] apply(X,X) <-> apply(m,X)
% New rule produced :
% [1096] apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t) -> apply(m,X)
% Rule
% [1060] apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t) <-> apply(X,X)
% collapsed.
% Rule
% [1066]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [1067]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [1068]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [1069]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [1070]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [1071]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [1072]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [1073]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [1074]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [1075]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [1076]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [1077]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [1078]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [1079]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [1080]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [1081]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [1082]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [1083]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [1084]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [1085]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [1086]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [1087]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [1088]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [1089]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [1090]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [1091]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [1092]
% (eq)(apply(f(apply(t,apply(m,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(m,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [1093]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Rule
% [1094]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(m,apply(b,apply(t,
% apply(t,X)))),b),t)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(m,X)))) ->
% (false) collapsed.
% Rule
% [1095]
% (eq)(apply(f(apply(t,apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),t))),
% apply(m,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(m,X))),
% apply(m,X)))) -> (false)
% collapsed.
% Current number of equations to process: 2892
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced :
% [1097]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(m,apply(b,
% apply(t,X))),b)),
% apply(apply(apply(m,apply(b,
% apply(t,X))),b),
% f(apply(apply(b,X),X))))) ->
% (false)
% Current number of equations to process: 3104
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [1098]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(b,X),X)),
% apply(apply(apply(m,apply(b,
% apply(t,X))),b),
% f(apply(apply(m,apply(b,
% apply(t,X))),b)))))
% -> (false)
% Current number of equations to process: 3127
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [1099]
% (eq)(apply(X,apply(X,f(apply(apply(m,apply(b,apply(t,X))),b)))),apply(
% f(apply(
% apply(m,
% apply(b,
% apply(t,X))),b)),
% apply(X,
% apply(X,
% f(apply(
% apply(m,
% apply(b,
% apply(t,X))),b))))))
% -> (false)
% Current number of equations to process: 3096
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [1100]
% apply(X,apply(apply(b,t),apply(m,apply(b,t)))) ->
% apply(apply(m,apply(m,apply(b,t))),X)
% Current number of equations to process: 3126
% Current number of ordered equations: 0
% Current number of rules: 598
% New rule produced :
% [1101]
% apply(apply(m,apply(m,apply(b,t))),apply(m,t)) ->
% apply(m,apply(apply(b,t),t))
% Current number of equations to process: 3160
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [1102]
% apply(apply(m,apply(m,apply(b,t))),apply(t,t)) ->
% apply(m,apply(apply(b,t),t))
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 600
% New rule produced :
% [1103]
% apply(apply(m,apply(apply(b,t),X)),apply(t,Y)) <->
% apply(apply(X,apply(apply(b,t),X)),Y)
% Current number of equations to process: 3192
% Current number of ordered equations: 1
% Current number of rules: 601
% New rule produced :
% [1104]
% apply(apply(X,apply(apply(b,t),X)),Y) <->
% apply(apply(m,apply(apply(b,t),X)),apply(t,Y))
% Current number of equations to process: 3192
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [1105]
% apply(apply(m,apply(apply(b,t),X)),apply(m,t)) <->
% apply(apply(X,apply(apply(b,t),X)),t)
% Current number of equations to process: 3394
% Current number of ordered equations: 1
% Current number of rules: 603
% New rule produced :
% [1106]
% apply(apply(X,apply(apply(b,t),X)),t) <->
% apply(apply(m,apply(apply(b,t),X)),apply(m,t))
% Current number of equations to process: 3394
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [1107]
% apply(apply(m,apply(apply(b,m),apply(b,t))),t) ->
% apply(m,apply(apply(b,m),apply(b,t)))
% Current number of equations to process: 3445
% Current number of ordered equations: 0
% Current number of rules: 605
% New rule produced :
% [1108]
% apply(apply(m,X),X) <->
% apply(apply(m,apply(b,apply(t,apply(b,apply(t,X))))),m)
% Current number of equations to process: 3450
% Current number of ordered equations: 1
% Current number of rules: 606
% New rule produced :
% [1109]
% apply(apply(m,apply(b,apply(t,apply(b,apply(t,X))))),m) <->
% apply(apply(m,X),X)
% Current number of equations to process: 3450
% Current number of ordered equations: 0
% Current number of rules: 607
% New rule produced :
% [1110]
% apply(m,apply(apply(b,apply(m,apply(b,apply(t,X)))),b)) ->
% apply(m,apply(m,X))
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 608
% New rule produced :
% [1111] apply(m,apply(apply(b,apply(m,apply(b,apply(m,t)))),b)) -> apply(t,t)
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [1112]
% apply(apply(apply(m,apply(b,apply(t,apply(t,X)))),b),X) ->
% apply(apply(m,X),X)
% Current number of equations to process: 3561
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [1113]
% apply(m,apply(apply(b,apply(t,X)),apply(t,X))) ->
% apply(m,apply(m,apply(b,apply(t,X))))
% Current number of equations to process: 3581
% Current number of ordered equations: 0
% Current number of rules: 611
% New rule produced :
% [1114]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 3601
% Current number of ordered equations: 1
% Current number of rules: 612
% New rule produced :
% [1115]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 3601
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [1116]
% apply(m,apply(apply(b,apply(t,X)),apply(t,apply(m,t)))) <->
% apply(apply(X,t),X)
% Current number of equations to process: 3610
% Current number of ordered equations: 1
% Current number of rules: 614
% New rule produced :
% [1117]
% apply(apply(X,t),X) <->
% apply(m,apply(apply(b,apply(t,X)),apply(t,apply(m,t))))
% Current number of equations to process: 3610
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced :
% [1118]
% apply(m,apply(apply(b,X),apply(t,apply(t,m)))) ->
% apply(m,apply(apply(b,X),apply(t,m)))
% Current number of equations to process: 3677
% Current number of ordered equations: 0
% Current number of rules: 616
% Rule [659]
% apply(X,apply(X,apply(Y,Y))) <->
% apply(m,apply(apply(b,X),apply(t,apply(t,Y)))) is composed into 
% [659] apply(X,apply(X,apply(Y,Y))) <-> apply(m,apply(apply(b,X),apply(t,Y)))
% Rule [639]
% apply(X,apply(X,apply(m,Y))) <->
% apply(m,apply(apply(b,X),apply(t,apply(t,Y)))) is composed into 
% [639] apply(X,apply(X,apply(m,Y))) <-> apply(m,apply(apply(b,X),apply(t,Y)))
% New rule produced :
% [1119]
% apply(m,apply(apply(b,X),apply(t,apply(t,Y)))) ->
% apply(m,apply(apply(b,X),apply(t,Y)))
% Rule
% [640]
% apply(m,apply(apply(b,X),apply(t,apply(t,Y)))) <->
% apply(X,apply(X,apply(m,Y))) collapsed.
% Rule
% [660]
% apply(m,apply(apply(b,X),apply(t,apply(t,Y)))) <->
% apply(X,apply(X,apply(Y,Y))) collapsed.
% Rule
% [1118]
% apply(m,apply(apply(b,X),apply(t,apply(t,m)))) ->
% apply(m,apply(apply(b,X),apply(t,m))) collapsed.
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 614
% Rule [1117]
% apply(apply(X,t),X) <->
% apply(m,apply(apply(b,apply(t,X)),apply(t,apply(m,t)))) is composed into 
% [1117] apply(apply(X,t),X) <-> apply(m,apply(apply(b,apply(t,X)),apply(t,t)))
% Rule [825]
% apply(X,apply(X,apply(m,t))) <->
% apply(m,apply(apply(b,X),apply(t,apply(m,t)))) is composed into 
% [825] apply(X,apply(X,apply(m,t))) <-> apply(m,apply(apply(b,X),apply(t,t)))
% Rule [641]
% apply(X,apply(X,apply(t,t))) <->
% apply(m,apply(apply(b,X),apply(t,apply(m,t)))) is composed into 
% [641] apply(X,apply(X,apply(t,t))) <-> apply(m,apply(apply(b,X),apply(t,t)))
% New rule produced :
% [1120]
% apply(m,apply(apply(b,X),apply(t,apply(m,t)))) ->
% apply(m,apply(apply(b,X),apply(t,t)))
% Rule
% [642]
% apply(m,apply(apply(b,X),apply(t,apply(m,t)))) <->
% apply(X,apply(X,apply(t,t))) collapsed.
% Rule
% [826]
% apply(m,apply(apply(b,X),apply(t,apply(m,t)))) <->
% apply(X,apply(X,apply(m,t))) collapsed.
% Rule
% [1116]
% apply(m,apply(apply(b,apply(t,X)),apply(t,apply(m,t)))) <->
% apply(apply(X,t),X) collapsed.
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [1121]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3740
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [1122]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 3744
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [1123]
% apply(apply(m,apply(m,X)),apply(X,X)) <->
% apply(apply(m,apply(b,apply(t,apply(X,X)))),m)
% Current number of equations to process: 3748
% Current number of ordered equations: 1
% Current number of rules: 615
% New rule produced :
% [1124]
% apply(apply(m,apply(b,apply(t,apply(X,X)))),m) <->
% apply(apply(m,apply(m,X)),apply(X,X))
% Current number of equations to process: 3748
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [1125]
% apply(X,apply(X,apply(m,apply(m,Y)))) <->
% apply(m,apply(apply(b,X),apply(t,apply(Y,Y))))
% Current number of equations to process: 3768
% Current number of ordered equations: 2
% Current number of rules: 617
% Rule [1005]
% apply(apply(X,X),apply(m,apply(X,X))) <->
% apply(m,apply(apply(b,apply(X,X)),apply(t,X))) is composed into 
% [1005]
% apply(apply(X,X),apply(m,apply(X,X))) <->
% apply(apply(X,X),apply(m,apply(m,X)))
% New rule produced :
% [1126]
% apply(m,apply(apply(b,apply(X,X)),apply(t,X))) ->
% apply(apply(X,X),apply(m,apply(m,X)))
% Rule
% [1006]
% apply(m,apply(apply(b,apply(X,X)),apply(t,X))) <->
% apply(apply(X,X),apply(m,apply(X,X))) collapsed.
% Current number of equations to process: 3768
% Current number of ordered equations: 1
% Current number of rules: 617
% New rule produced :
% [1127]
% apply(m,apply(apply(b,X),apply(t,apply(Y,Y)))) <->
% apply(X,apply(X,apply(m,apply(m,Y))))
% Current number of equations to process: 3768
% Current number of ordered equations: 0
% Current number of rules: 618
% New rule produced :
% [1128]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4132
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [1129]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(apply(X,X),
% apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4137
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [1130]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(apply(X,X),
% apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [1131]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4142
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [1132]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4146
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [1133]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4150
% Current number of ordered equations: 1
% Current number of rules: 624
% New rule produced :
% [1134]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 625
% New rule produced :
% [1135]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4161
% Current number of ordered equations: 0
% Current number of rules: 626
% New rule produced :
% [1136]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4168
% Current number of ordered equations: 0
% Current number of rules: 627
% New rule produced :
% [1137]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4175
% Current number of ordered equations: 0
% Current number of rules: 628
% New rule produced :
% [1138]
% apply(apply(m,apply(b,apply(t,apply(m,X)))),m) <->
% apply(apply(m,apply(X,X)),apply(m,X))
% Current number of equations to process: 4181
% Current number of ordered equations: 1
% Current number of rules: 629
% New rule produced :
% [1139]
% apply(apply(m,apply(X,X)),apply(m,X)) <->
% apply(apply(m,apply(b,apply(t,apply(m,X)))),m)
% Current number of equations to process: 4181
% Current number of ordered equations: 0
% Current number of rules: 630
% New rule produced :
% [1140]
% apply(X,apply(X,apply(m,apply(Y,Y)))) <->
% apply(m,apply(apply(b,X),apply(t,apply(m,Y))))
% Current number of equations to process: 4228
% Current number of ordered equations: 1
% Current number of rules: 631
% New rule produced :
% [1141]
% apply(m,apply(apply(b,X),apply(t,apply(m,Y)))) <->
% apply(X,apply(X,apply(m,apply(Y,Y))))
% Current number of equations to process: 4228
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [1142]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4540
% Current number of ordered equations: 1
% Current number of rules: 633
% New rule produced :
% [1143]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4540
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [1144]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4549
% Current number of ordered equations: 0
% Current number of rules: 635
% New rule produced :
% [1145]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4549
% Current number of ordered equations: 0
% Current number of rules: 636
% New rule produced :
% [1146]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4551
% Current number of ordered equations: 1
% Current number of rules: 637
% New rule produced :
% [1147]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4551
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [1148]
% apply(apply(X,X),apply(apply(b,apply(m,X)),Y)) <->
% apply(apply(m,apply(b,apply(m,X))),Y)
% Current number of equations to process: 4550
% Current number of ordered equations: 1
% Current number of rules: 639
% New rule produced :
% [1149]
% apply(apply(m,apply(b,apply(m,X))),Y) <->
% apply(apply(X,X),apply(apply(b,apply(m,X)),Y))
% Current number of equations to process: 4550
% Current number of ordered equations: 0
% Current number of rules: 640
% New rule produced :
% [1150]
% apply(apply(m,X),apply(apply(b,apply(X,X)),Y)) <->
% apply(apply(m,apply(b,apply(m,X))),Y)
% Current number of equations to process: 4746
% Current number of ordered equations: 1
% Current number of rules: 641
% New rule produced :
% [1151]
% apply(apply(m,apply(b,apply(m,X))),Y) <->
% apply(apply(m,X),apply(apply(b,apply(X,X)),Y))
% Current number of equations to process: 4746
% Current number of ordered equations: 0
% Current number of rules: 642
% New rule produced :
% [1152]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4893
% Current number of ordered equations: 0
% Current number of rules: 643
% New rule produced :
% [1153]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4904
% Current number of ordered equations: 0
% Current number of rules: 644
% New rule produced :
% [1154]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4909
% Current number of ordered equations: 0
% Current number of rules: 645
% New rule produced :
% [1155]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4928
% Current number of ordered equations: 0
% Current number of rules: 646
% New rule produced :
% [1156]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4934
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [1157]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4938
% Current number of ordered equations: 1
% Current number of rules: 648
% New rule produced :
% [1158]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4938
% Current number of ordered equations: 0
% Current number of rules: 649
% New rule produced :
% [1159]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4951
% Current number of ordered equations: 0
% Current number of rules: 650
% New rule produced :
% [1160]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4956
% Current number of ordered equations: 0
% Current number of rules: 651
% New rule produced :
% [1161]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4960
% Current number of ordered equations: 0
% Current number of rules: 652
% New rule produced :
% [1162]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4964
% Current number of ordered equations: 0
% Current number of rules: 653
% New rule produced :
% [1163]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4968
% Current number of ordered equations: 0
% Current number of rules: 654
% New rule produced :
% [1164]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 655
% New rule produced :
% [1165]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4974
% Current number of ordered equations: 0
% Current number of rules: 656
% New rule produced :
% [1166]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 657
% New rule produced :
% [1167]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4974
% Current number of ordered equations: 1
% Current number of rules: 658
% New rule produced :
% [1168]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4974
% Current number of ordered equations: 0
% Current number of rules: 659
% New rule produced :
% [1169]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4979
% Current number of ordered equations: 0
% Current number of rules: 660
% New rule produced :
% [1170]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4980
% Current number of ordered equations: 0
% Current number of rules: 661
% New rule produced :
% [1171]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4982
% Current number of ordered equations: 0
% Current number of rules: 662
% New rule produced :
% [1172]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4985
% Current number of ordered equations: 0
% Current number of rules: 663
% New rule produced :
% [1173]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4987
% Current number of ordered equations: 0
% Current number of rules: 664
% New rule produced :
% [1174]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4991
% Current number of ordered equations: 0
% Current number of rules: 665
% New rule produced :
% [1175]
% (eq)(apply(f(apply(t,apply(m,apply(X,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4992
% Current number of ordered equations: 0
% Current number of rules: 666
% New rule produced :
% [1176]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4988
% Current number of ordered equations: 0
% Current number of rules: 667
% New rule produced :
% [1177]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(
% apply(X,X),
% apply(X,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4988
% Current number of ordered equations: 0
% Current number of rules: 668
% New rule produced :
% [1178]
% (eq)(apply(f(apply(t,apply(m,apply(m,X)))),apply(m,apply(m,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% apply(X,X),
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4991
% Current number of ordered equations: 0
% Current number of rules: 669
% New rule produced :
% [1179]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(apply(X,X),
% apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4987
% Current number of ordered equations: 0
% Current number of rules: 670
% New rule produced :
% [1180]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(apply(X,X),
% apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(X,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4989
% Current number of ordered equations: 0
% Current number of rules: 671
% New rule produced :
% [1181]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(apply(X,X),
% apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(m,X)))))
% -> (false)
% Current number of equations to process: 4990
% Current number of ordered equations: 0
% Current number of rules: 672
% New rule produced :
% [1182]
% (eq)(apply(f(apply(t,apply(apply(X,X),apply(X,X)))),apply(apply(X,X),
% apply(X,X))),apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(
% f(apply(t,
% apply(m,
% apply(m,X)))),
% apply(m,
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4990
% Current number of ordered equations: 0
% Current number of rules: 673
% New rule produced :
% [1183]
% apply(X,apply(apply(b,X),apply(m,Y))) <->
% apply(apply(apply(m,apply(b,apply(b,X))),Y),Y)
% Current number of equations to process: 4989
% Current number of ordered equations: 1
% Current number of rules: 674
% New rule produced :
% [1184]
% apply(apply(apply(m,apply(b,apply(b,X))),Y),Y) <->
% apply(X,apply(apply(b,X),apply(m,Y)))
% Current number of equations to process: 4989
% Current number of ordered equations: 0
% Current number of rules: 675
% New rule produced :
% [1185]
% apply(X,apply(apply(b,X),apply(Y,Y))) <->
% apply(apply(apply(m,apply(b,apply(b,X))),m),Y)
% Current number of equations to process: 2699
% Current number of ordered equations: 1
% Current number of rules: 676
% New rule produced :
% [1186]
% apply(apply(apply(m,apply(b,apply(b,X))),m),Y) <->
% apply(X,apply(apply(b,X),apply(Y,Y)))
% Current number of equations to process: 2699
% Current number of ordered equations: 0
% Current number of rules: 677
% Rule [1185]
% apply(X,apply(apply(b,X),apply(Y,Y))) <->
% apply(apply(apply(m,apply(b,apply(b,X))),m),Y) is composed into 
% [1185]
% apply(X,apply(apply(b,X),apply(Y,Y))) <->
% apply(apply(m,apply(b,X)),apply(m,Y))
% Rule [1183]
% apply(X,apply(apply(b,X),apply(m,Y))) <->
% apply(apply(apply(m,apply(b,apply(b,X))),Y),Y) is composed into 
% [1183]
% apply(X,apply(apply(b,X),apply(m,Y))) <->
% apply(apply(m,apply(b,X)),apply(Y,Y))
% Rule [954]
% apply(X,apply(apply(b,X),apply(Y,Z))) <->
% apply(apply(apply(m,apply(b,apply(b,X))),Y),Z) is composed into 
% [954]
% apply(X,apply(apply(b,X),apply(Y,Z))) <->
% apply(apply(m,apply(b,X)),apply(Y,Z))
% New rule produced :
% [1187]
% apply(apply(apply(m,apply(b,apply(b,X))),Y),Z) ->
% apply(apply(m,apply(b,X)),apply(Y,Z))
% Rule
% [955]
% apply(apply(apply(m,apply(b,apply(b,X))),Y),Z) <->
% apply(X,apply(apply(b,X),apply(Y,Z))) collapsed.
% Rule
% [956]
% apply(apply(apply(m,apply(b,apply(b,X))),b),X) ->
% apply(X,apply(m,apply(b,X))) collapsed.
% Rule
% [1184]
% apply(apply(apply(m,apply(b,apply(b,X))),Y),Y) <->
% apply(X,apply(apply(b,X),apply(m,Y))) collapsed.
% Rule
% [1186]
% apply(apply(apply(m,apply(b,apply(b,X))),m),Y) <->
% apply(X,apply(apply(b,X),apply(Y,Y))) collapsed.
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 674
% New rule produced :
% [1188]
% apply(apply(m,apply(apply(b,apply(t,t)),t)),X) ->
% apply(X,apply(apply(b,apply(t,t)),t))
% Current number of equations to process: 3242
% Current number of ordered equations: 0
% Current number of rules: 675
% New rule produced :
% [1189]
% apply(apply(apply(m,apply(apply(b,apply(t,b)),t)),X),Y) ->
% apply(b,apply(X,Y))
% Current number of equations to process: 3321
% Current number of ordered equations: 0
% Current number of rules: 676
% New rule produced :
% [1190]
% apply(m,apply(m,apply(apply(b,apply(t,t)),t))) ->
% apply(m,apply(apply(b,apply(t,t)),t))
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 677
% Rule [987]
% apply(X,apply(X,apply(m,Y))) <->
% apply(m,apply(apply(b,apply(t,Y)),apply(b,X))) is composed into 
% [987] apply(X,apply(X,apply(m,Y))) <-> apply(m,apply(apply(b,X),apply(t,Y)))
% Rule [966]
% apply(X,apply(X,apply(Y,Y))) <->
% apply(m,apply(apply(b,apply(t,Y)),apply(b,X))) is composed into 
% [966] apply(X,apply(X,apply(Y,Y))) <-> apply(m,apply(apply(b,X),apply(t,Y)))
% New rule produced :
% [1191]
% apply(m,apply(apply(b,apply(t,Y)),apply(b,X))) ->
% apply(m,apply(apply(b,X),apply(t,Y)))
% Rule
% [967]
% apply(m,apply(apply(b,apply(t,Y)),apply(b,X))) <->
% apply(X,apply(X,apply(Y,Y))) collapsed.
% Rule
% [988]
% apply(m,apply(apply(b,apply(t,Y)),apply(b,X))) <->
% apply(X,apply(X,apply(m,Y))) collapsed.
% Current number of equations to process: 3437
% Current number of ordered equations: 0
% Current number of rules: 676
% New rule produced :
% [1192]
% (eq)(apply(apply(X,Y),apply(X,f(apply(apply(m,apply(apply(b,apply(t,X)),b)),Y)))),
% apply(f(apply(apply(b,apply(X,Y)),X)),apply(apply(X,Y),apply(X,f(apply(
% apply(b,
% apply(X,Y)),X))))))
% -> (false)
% Current number of equations to process: 3445
% Current number of ordered equations: 0
% Current number of rules: 677
% New rule produced :
% [1193]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),X)),
% apply(
% apply(X,X),
% apply(X,
% f(apply(
% apply(b,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 3462
% Current number of ordered equations: 3
% Current number of rules: 678
% New rule produced :
% [1194]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),X)),
% apply(
% apply(m,X),
% apply(X,
% f(apply(
% apply(b,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 3462
% Current number of ordered equations: 2
% Current number of rules: 679
% New rule produced :
% [1195]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),X)),
% apply(
% apply(X,X),
% apply(X,
% f(apply(
% apply(b,
% apply(m,X)),X))))))
% -> (false)
% Current number of equations to process: 3462
% Current number of ordered equations: 1
% Current number of rules: 680
% New rule produced :
% [1196]
% (eq)(apply(apply(m,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),X)),
% apply(
% apply(X,X),
% apply(X,
% f(apply(
% apply(b,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 3462
% Current number of ordered equations: 0
% Current number of rules: 681
% New rule produced :
% [1197]
% (eq)(apply(apply(m,X),apply(m,f(apply(apply(b,apply(m,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),m)),
% apply(
% apply(m,X),
% apply(m,
% f(apply(
% apply(b,
% apply(m,X)),m))))))
% -> (false)
% Current number of equations to process: 3726
% Current number of ordered equations: 3
% Current number of rules: 682
% New rule produced :
% [1198]
% (eq)(apply(apply(m,X),apply(m,f(apply(apply(b,apply(m,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),m)),
% apply(
% apply(X,X),
% apply(m,
% f(apply(
% apply(b,
% apply(m,X)),m))))))
% -> (false)
% Current number of equations to process: 3726
% Current number of ordered equations: 2
% Current number of rules: 683
% New rule produced :
% [1199]
% (eq)(apply(apply(m,X),apply(m,f(apply(apply(b,apply(m,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),m)),
% apply(
% apply(m,X),
% apply(m,
% f(apply(
% apply(b,
% apply(X,X)),m))))))
% -> (false)
% Current number of equations to process: 3726
% Current number of ordered equations: 1
% Current number of rules: 684
% New rule produced :
% [1200]
% (eq)(apply(apply(X,X),apply(m,f(apply(apply(b,apply(m,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),m)),
% apply(
% apply(m,X),
% apply(m,
% f(apply(
% apply(b,
% apply(m,X)),m))))))
% -> (false)
% Current number of equations to process: 3726
% Current number of ordered equations: 0
% Current number of rules: 685
% New rule produced :
% [1201]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),X)),
% apply(
% apply(X,X),
% apply(X,
% f(apply(
% apply(b,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 3823
% Current number of ordered equations: 0
% Current number of rules: 686
% New rule produced :
% [1202]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),X)),
% apply(
% apply(m,X),
% apply(X,
% f(apply(
% apply(b,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 3870
% Current number of ordered equations: 2
% Current number of rules: 687
% New rule produced :
% [1203]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),X)),
% apply(
% apply(X,X),
% apply(X,
% f(apply(
% apply(b,
% apply(m,X)),X))))))
% -> (false)
% Current number of equations to process: 3870
% Current number of ordered equations: 1
% Current number of rules: 688
% New rule produced :
% [1204]
% (eq)(apply(apply(m,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),X)),
% apply(
% apply(X,X),
% apply(X,
% f(apply(
% apply(b,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 3870
% Current number of ordered equations: 0
% Current number of rules: 689
% New rule produced :
% [1205]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(X,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),X)),
% apply(
% apply(X,X),
% apply(X,
% f(apply(
% apply(b,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 3878
% Current number of ordered equations: 0
% Current number of rules: 690
% New rule produced :
% [1206]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),X)),
% apply(
% apply(m,X),
% apply(X,
% f(apply(
% apply(b,
% apply(m,X)),X))))))
% -> (false)
% Current number of equations to process: 3882
% Current number of ordered equations: 1
% Current number of rules: 691
% New rule produced :
% [1207]
% (eq)(apply(apply(m,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),X)),
% apply(
% apply(m,X),
% apply(X,
% f(apply(
% apply(b,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 3882
% Current number of ordered equations: 0
% Current number of rules: 692
% New rule produced :
% [1208]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(X,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),X)),
% apply(
% apply(m,X),
% apply(X,
% f(apply(
% apply(b,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 3890
% Current number of ordered equations: 0
% Current number of rules: 693
% New rule produced :
% [1209]
% (eq)(apply(apply(m,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),X)),
% apply(
% apply(X,X),
% apply(X,
% f(apply(
% apply(b,
% apply(m,X)),X))))))
% -> (false)
% Current number of equations to process: 3893
% Current number of ordered equations: 0
% Current number of rules: 694
% New rule produced :
% [1210]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(X,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),X)),
% apply(
% apply(X,X),
% apply(X,
% f(apply(
% apply(b,
% apply(m,X)),X))))))
% -> (false)
% Current number of equations to process: 3901
% Current number of ordered equations: 0
% Current number of rules: 695
% New rule produced :
% [1211]
% (eq)(apply(apply(m,X),apply(X,f(apply(apply(b,apply(X,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),X)),
% apply(
% apply(X,X),
% apply(X,
% f(apply(
% apply(b,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 3912
% Current number of ordered equations: 0
% Current number of rules: 696
% New rule produced :
% [1212]
% (eq)(apply(apply(m,X),apply(m,f(apply(apply(b,apply(m,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),m)),
% apply(
% apply(X,X),
% apply(m,
% f(apply(
% apply(b,
% apply(m,X)),m))))))
% -> (false)
% Current number of equations to process: 3927
% Current number of ordered equations: 3
% Current number of rules: 697
% New rule produced :
% [1213]
% (eq)(apply(apply(m,X),apply(m,f(apply(apply(b,apply(m,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),m)),
% apply(
% apply(m,X),
% apply(m,
% f(apply(
% apply(b,
% apply(X,X)),m))))))
% -> (false)
% Current number of equations to process: 3927
% Current number of ordered equations: 2
% Current number of rules: 698
% New rule produced :
% [1214]
% (eq)(apply(apply(X,X),apply(m,f(apply(apply(b,apply(m,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),m)),
% apply(
% apply(m,X),
% apply(m,
% f(apply(
% apply(b,
% apply(m,X)),m))))))
% -> (false)
% Current number of equations to process: 3927
% Current number of ordered equations: 1
% Current number of rules: 699
% New rule produced :
% [1215]
% (eq)(apply(apply(m,X),apply(m,f(apply(apply(b,apply(X,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(X,X)),m)),
% apply(
% apply(m,X),
% apply(m,
% f(apply(
% apply(b,
% apply(m,X)),m))))))
% -> (false)
% Current number of equations to process: 3927
% Current number of ordered equations: 0
% Current number of rules: 700
% New rule produced :
% [1216]
% (eq)(apply(apply(m,X),apply(m,f(apply(apply(b,apply(m,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),m)),
% apply(
% apply(X,X),
% apply(m,
% f(apply(
% apply(b,
% apply(X,X)),m))))))
% -> (false)
% Current number of equations to process: 3942
% Current number of ordered equations: 2
% Current number of rules: 701
% New rule produced :
% [1217]
% (eq)(apply(apply(X,X),apply(m,f(apply(apply(b,apply(m,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),m)),
% apply(
% apply(X,X),
% apply(m,
% f(apply(
% apply(b,
% apply(m,X)),m))))))
% -> (false)
% Current number of equations to process: 3942
% Current number of ordered equations: 1
% Current number of rules: 702
% New rule produced :
% [1218]
% (eq)(apply(apply(m,X),apply(m,f(apply(apply(b,apply(X,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),m)),
% apply(
% apply(X,X),
% apply(m,
% f(apply(
% apply(b,
% apply(m,X)),m))))))
% -> (false)
% Current number of equations to process: 3942
% Current number of ordered equations: 0
% Current number of rules: 703
% New rule produced :
% [1219]
% (eq)(apply(apply(X,X),apply(m,f(apply(apply(b,apply(m,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),m)),
% apply(
% apply(m,X),
% apply(m,
% f(apply(
% apply(b,
% apply(X,X)),m))))))
% -> (false)
% Current number of equations to process: 3957
% Current number of ordered equations: 1
% Current number of rules: 704
% New rule produced :
% [1220]
% (eq)(apply(apply(m,X),apply(m,f(apply(apply(b,apply(X,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),m)),
% apply(
% apply(m,X),
% apply(m,
% f(apply(
% apply(b,
% apply(X,X)),m))))))
% -> (false)
% Current number of equations to process: 3957
% Current number of ordered equations: 0
% Current number of rules: 705
% New rule produced :
% [1221]
% (eq)(apply(apply(X,X),apply(m,f(apply(apply(b,apply(X,X)),m)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),m)),
% apply(
% apply(m,X),
% apply(m,
% f(apply(
% apply(b,
% apply(m,X)),m))))))
% -> (false)
% Current number of equations to process: 3971
% Current number of ordered equations: 0
% Current number of rules: 706
% New rule produced :
% [1222]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),X)),
% apply(
% apply(m,X),
% apply(X,
% f(apply(
% apply(b,
% apply(m,X)),X))))))
% -> (false)
% Current number of equations to process: 3986
% Current number of ordered equations: 1
% Current number of rules: 707
% New rule produced :
% [1223]
% (eq)(apply(apply(m,X),apply(X,f(apply(apply(b,apply(m,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),X)),
% apply(
% apply(m,X),
% apply(X,
% f(apply(
% apply(b,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 3986
% Current number of ordered equations: 0
% Current number of rules: 708
% New rule produced :
% [1224]
% (eq)(apply(apply(X,X),apply(X,f(apply(apply(b,apply(X,X)),X)))),apply(
% f(apply(
% apply(b,
% apply(m,X)),X)),
% Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------