TSTP Solution File: COL035-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : COL035-1 : TPTP v6.0.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n086.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 00:19:47 EDT 2014

% Result   : Timeout 300.04s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : COL035-1 : TPTP v6.0.0. Released v1.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n086.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 18:16:38 CDT 2014
% % CPUTime  : 300.04 
% Processing problem /tmp/CiME_39848_n086.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " q,w,l : constant;  f : 1;  apply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% apply(apply(l,X),Y) = apply(X,apply(Y,Y));
% apply(apply(w,X),Y) = apply(apply(X,Y),Y);
% apply(apply(apply(q,X),Y),Z) = apply(Y,apply(X,Z));
% ";
% 
% let s1 = status F "
% f lr_lex;
% q lr_lex;
% w lr_lex;
% apply lr_lex;
% l lr_lex;
% ";
% 
% let p1 = precedence F "
% apply > f > l > w > q";
% 
% let s2 = status F "
% f mul;
% q mul;
% w mul;
% apply mul;
% l mul;
% ";
% 
% let p2 = precedence F "
% apply > f > l = w = q";
% 
% 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(l,X),Y) = apply(X,apply(Y,Y)),
% apply(apply(w,X),Y) = apply(apply(X,Y),Y),
% apply(apply(apply(q,X),Y),Z) =
% apply(Y,apply(X,Z)) } (3 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% 
% [q] = 1;
% [w] = 2;
% [l] = 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: 6
% 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: 5
% Current number of rules: 2
% New rule produced : [3] apply(X,apply(Y,Y)) <-> apply(apply(l,X),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 3
% New rule produced : [4] apply(apply(l,X),Y) <-> apply(X,apply(Y,Y))
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 4
% New rule produced : [5] apply(apply(X,Y),Y) <-> apply(apply(w,X),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 5
% New rule produced : [6] apply(apply(w,X),Y) <-> apply(apply(X,Y),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced : [7] apply(apply(apply(q,X),Y),Z) -> apply(Y,apply(X,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] apply(X,apply(X,X)) <-> apply(apply(w,l),X)
% Current number of equations to process: 14
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced : [9] apply(apply(w,l),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] apply(apply(X,X),X) <-> apply(apply(w,w),X)
% Current number of equations to process: 13
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced : [11] apply(apply(w,w),X) <-> apply(apply(X,X),X)
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% (eq)(apply(apply(X,f(apply(w,X))),f(apply(w,X))),apply(f(apply(w,X)),
% apply(apply(w,X),f(apply(w,X)))))
% -> (false)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] apply(apply(w,w),l) -> apply(l,apply(l,l))
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] apply(X,apply(X,Y)) <-> apply(apply(apply(w,q),X),Y)
% Current number of equations to process: 46
% Current number of ordered equations: 3
% Current number of rules: 14
% New rule produced : [15] apply(Y,apply(X,Y)) <-> apply(apply(w,apply(q,X)),Y)
% Current number of equations to process: 46
% Current number of ordered equations: 2
% Current number of rules: 15
% New rule produced : [16] apply(apply(apply(w,q),X),Y) <-> apply(X,apply(X,Y))
% Current number of equations to process: 46
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced : [17] apply(apply(w,apply(q,X)),Y) <-> apply(Y,apply(X,Y))
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [18] apply(apply(apply(w,q),X),X) -> apply(apply(l,X),X)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] apply(apply(w,apply(q,X)),X) -> apply(apply(l,X),X)
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] apply(X,apply(X,X)) <-> apply(apply(w,apply(w,q)),X)
% Current number of equations to process: 105
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced : [21] apply(apply(w,apply(w,q)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [22] apply(apply(l,X),X) <-> apply(apply(w,apply(w,q)),X)
% Current number of equations to process: 136
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced : [23] apply(apply(w,apply(w,q)),X) <-> apply(apply(l,X),X)
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 23
% Rule [22] apply(apply(l,X),X) <-> apply(apply(w,apply(w,q)),X) is composed into 
% [22] apply(apply(l,X),X) <-> apply(apply(w,l),X)
% Rule [20] apply(X,apply(X,X)) <-> apply(apply(w,apply(w,q)),X) is composed into 
% [20] apply(X,apply(X,X)) <-> apply(apply(w,l),X)
% New rule produced : [24] apply(apply(w,apply(w,q)),X) -> apply(apply(w,l),X)
% Rule [21] apply(apply(w,apply(w,q)),X) <-> apply(X,apply(X,X)) collapsed.
% Rule [23] apply(apply(w,apply(w,q)),X) <-> apply(apply(l,X),X) collapsed.
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [25]
% (eq)(apply(apply(w,X),f(apply(w,X))),apply(f(apply(w,X)),apply(apply(X,
% f(apply(w,X))),
% f(apply(w,X))))) ->
% (false)
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [26]
% (eq)(apply(apply(f(apply(w,w)),f(apply(w,w))),f(apply(w,w))),apply(f(
% apply(w,w)),
% apply(apply(w,w),
% f(apply(w,w)))))
% -> (false)
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [27]
% (eq)(apply(X,apply(f(apply(l,X)),f(apply(l,X)))),apply(f(apply(l,X)),
% apply(X,apply(f(apply(l,X)),
% f(apply(l,X)))))) ->
% (false)
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [28] apply(apply(X,X),apply(Y,Y)) <-> apply(apply(apply(l,l),X),Y)
% Current number of equations to process: 173
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [29] apply(apply(apply(l,l),X),Y) <-> apply(apply(X,X),apply(Y,Y))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [30] apply(apply(apply(w,X),Y),Y) -> apply(apply(w,apply(X,Y)),Y)
% Rule [18] apply(apply(apply(w,q),X),X) -> apply(apply(l,X),X) collapsed.
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [31] apply(apply(X,apply(Y,Y)),Y) <-> apply(apply(w,apply(l,X)),Y)
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [32] apply(apply(w,apply(l,X)),Y) <-> apply(apply(X,apply(Y,Y)),Y)
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [33] apply(apply(apply(X,X),Y),Y) <-> apply(apply(apply(l,w),X),Y)
% Current number of equations to process: 267
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [34] apply(apply(apply(l,w),X),Y) <-> apply(apply(apply(X,X),Y),Y)
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [35] apply(apply(apply(X,Y),Y),Y) <-> apply(apply(w,apply(w,X)),Y)
% Current number of equations to process: 307
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [36] apply(apply(w,apply(w,X)),Y) <-> apply(apply(apply(X,Y),Y),Y)
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [37]
% (eq)(apply(X,apply(Y,f(apply(apply(q,Y),X)))),apply(f(apply(apply(q,Y),X)),
% apply(X,apply(Y,f(apply(
% apply(q,Y),X))))))
% -> (false)
% Current number of equations to process: 372
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [38] apply(apply(X,apply(X,X)),X) <-> apply(apply(w,apply(w,l)),X)
% Current number of equations to process: 423
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [39] apply(apply(w,apply(w,l)),X) <-> apply(apply(X,apply(X,X)),X)
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [40] apply(apply(w,apply(w,X)),X) <-> apply(apply(w,apply(X,X)),X)
% Current number of equations to process: 456
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [41] apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(w,X)),X)
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [42] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(w,w)),X)
% Current number of equations to process: 472
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [43] apply(apply(w,apply(w,w)),X) <-> apply(apply(apply(X,X),X),X)
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [44] apply(apply(w,apply(w,w)),q) -> apply(q,apply(q,q))
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [45]
% (eq)(apply(apply(X,f(apply(w,X))),f(apply(w,X))),apply(f(apply(w,X)),
% apply(apply(X,f(apply(w,X))),
% f(apply(w,X))))) -> (false)
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [46] apply(apply(w,apply(w,w)),l) -> apply(apply(l,l),apply(l,l))
% Current number of equations to process: 517
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [47] apply(apply(w,l),apply(w,q)) -> apply(apply(w,w),apply(w,q))
% Current number of equations to process: 517
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [48] apply(apply(X,X),apply(X,X)) <-> apply(apply(w,apply(l,l)),X)
% Current number of equations to process: 517
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [49] apply(apply(w,apply(l,l)),X) <-> apply(apply(X,X),apply(X,X))
% Current number of equations to process: 517
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [50] apply(apply(w,apply(X,Y)),Y) <-> apply(apply(w,apply(w,X)),Y)
% Rule [41] apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(w,X)),X)
% collapsed.
% Current number of equations to process: 563
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [51] apply(apply(w,apply(w,X)),Y) <-> apply(apply(w,apply(X,Y)),Y)
% Rule [40] apply(apply(w,apply(w,X)),X) <-> apply(apply(w,apply(X,X)),X)
% collapsed.
% Rule [44] apply(apply(w,apply(w,w)),q) -> apply(q,apply(q,q)) collapsed.
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [52] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(l,w)),X)
% Current number of equations to process: 613
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [53] apply(apply(w,apply(l,w)),X) <-> apply(apply(apply(X,X),X),X)
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [54] apply(apply(w,apply(l,w)),l) -> apply(apply(l,l),apply(l,l))
% Current number of equations to process: 649
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [55] apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(w,w)),X)
% Current number of equations to process: 652
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [56] apply(apply(w,apply(w,w)),X) <-> apply(apply(w,apply(X,X)),X)
% Current number of equations to process: 652
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [57] apply(apply(apply(l,w),X),X) -> apply(apply(w,apply(w,X)),X)
% Current number of equations to process: 688
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [58]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(f(apply(apply(q,X),X)),
% apply(X,apply(X,f(apply(
% apply(q,X),X))))))
% -> (false)
% Current number of equations to process: 684
% Current number of ordered equations: 2
% Current number of rules: 52
% New rule produced :
% [59]
% (eq)(apply(X,apply(X,f(apply(apply(q,X),X)))),apply(f(apply(apply(w,q),X)),
% apply(X,apply(X,f(apply(
% apply(q,X),X))))))
% -> (false)
% Current number of equations to process: 684
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [60]
% (eq)(apply(X,apply(X,f(apply(apply(q,X),X)))),apply(f(apply(apply(q,X),X)),
% apply(X,apply(X,f(apply(
% apply(w,q),X))))))
% -> (false)
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [61] apply(apply(w,apply(w,X)),X) <-> apply(apply(w,apply(l,w)),X)
% Current number of equations to process: 714
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [62] apply(apply(w,apply(l,w)),X) <-> apply(apply(w,apply(w,X)),X)
% Rule [54] apply(apply(w,apply(l,w)),l) -> apply(apply(l,l),apply(l,l))
% collapsed.
% Current number of equations to process: 714
% Current number of ordered equations: 0
% Current number of rules: 55
% Rule [61] apply(apply(w,apply(w,X)),X) <-> apply(apply(w,apply(l,w)),X) is composed into 
% [61] apply(apply(w,apply(w,X)),X) <-> apply(apply(w,apply(w,w)),X)
% Rule [52] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(l,w)),X) is composed into 
% [52] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(w,w)),X)
% New rule produced :
% [63] apply(apply(w,apply(l,w)),X) -> apply(apply(w,apply(w,w)),X)
% Rule [53] apply(apply(w,apply(l,w)),X) <-> apply(apply(apply(X,X),X),X)
% collapsed.
% Rule [62] apply(apply(w,apply(l,w)),X) <-> apply(apply(w,apply(w,X)),X)
% collapsed.
% Current number of equations to process: 736
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [64]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(f(apply(apply(q,X),X)),
% apply(X,apply(X,f(apply(
% apply(w,q),X))))))
% -> (false)
% Current number of equations to process: 750
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [65]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(f(apply(apply(w,q),X)),
% apply(X,apply(X,f(apply(
% apply(q,X),X))))))
% -> (false)
% Current number of equations to process: 759
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [66]
% (eq)(apply(X,apply(X,f(apply(apply(q,X),X)))),apply(f(apply(apply(w,q),X)),
% apply(X,apply(X,f(apply(
% apply(w,q),X))))))
% -> (false)
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [67]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(f(apply(apply(w,q),X)),
% apply(X,apply(X,f(apply(
% apply(w,q),X))))))
% -> (false)
% Current number of equations to process: 771
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [68]
% (eq)(apply(apply(w,w),f(apply(w,w))),apply(f(apply(w,w)),apply(apply(
% f(apply(w,w)),
% f(apply(w,w))),
% f(apply(w,w))))) ->
% (false)
% Current number of equations to process: 782
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [69]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(w,q),X))),apply(f(apply(
% apply(w,q),X)),
% apply(X,apply(X,
% f(apply(
% apply(w,q),X))))))
% -> (false)
% Current number of equations to process: 783
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [70]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(f(apply(
% apply(q,X),X)),
% apply(X,apply(X,
% f(apply(
% apply(q,X),X))))))
% -> (false)
% Current number of equations to process: 793
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [71]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(w,q),X))),apply(f(apply(
% apply(q,X),X)),
% apply(X,apply(X,
% f(apply(
% apply(q,X),X))))))
% -> (false)
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [72]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(f(apply(
% apply(w,q),X)),
% apply(X,apply(X,
% f(apply(
% apply(q,X),X))))))
% -> (false)
% Current number of equations to process: 809
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [73]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(f(apply(
% apply(q,X),X)),
% apply(X,apply(X,
% f(apply(
% apply(w,q),X))))))
% -> (false)
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [74]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(w,q),X))),apply(f(apply(
% apply(q,X),X)),
% apply(X,apply(X,
% f(apply(
% apply(w,q),X))))))
% -> (false)
% Current number of equations to process: 822
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [75]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(w,q),X))),apply(f(apply(
% apply(w,q),X)),
% apply(X,apply(X,
% f(apply(
% apply(q,X),X))))))
% -> (false)
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [76]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(f(apply(
% apply(w,q),X)),
% apply(X,apply(X,
% f(apply(
% apply(w,q),X))))))
% -> (false)
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [77]
% (eq)(apply(apply(w,f(apply(w,w))),f(apply(w,w))),apply(f(apply(w,w)),
% apply(apply(f(apply(w,w)),
% f(apply(w,w))),
% f(apply(w,w))))) -> (false)
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [78]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(f(apply(apply(w,q),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(w,q),X))))) ->
% (false)
% Current number of equations to process: 819
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [79]
% (eq)(apply(apply(f(apply(w,w)),f(apply(w,w))),f(apply(w,w))),apply(f(
% apply(w,w)),
% apply(apply(w,
% f(
% apply(w,w))),
% f(apply(w,w)))))
% -> (false)
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [80]
% (eq)(apply(X,apply(X,f(apply(apply(q,X),X)))),apply(f(apply(apply(q,X),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(q,X),X))))) ->
% (false)
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [81]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(f(apply(apply(q,X),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(q,X),X))))) ->
% (false)
% Current number of equations to process: 838
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [82]
% (eq)(apply(X,apply(X,f(apply(apply(q,X),X)))),apply(f(apply(apply(w,q),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(q,X),X))))) ->
% (false)
% Current number of equations to process: 848
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [83]
% (eq)(apply(X,apply(X,f(apply(apply(q,X),X)))),apply(f(apply(apply(q,X),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(w,q),X))))) ->
% (false)
% Current number of equations to process: 855
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [84]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(f(apply(apply(q,X),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(w,q),X))))) ->
% (false)
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [85]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(f(apply(apply(w,q),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(q,X),X))))) ->
% (false)
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [86]
% (eq)(apply(X,apply(X,f(apply(apply(q,X),X)))),apply(f(apply(apply(w,q),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(w,q),X))))) ->
% (false)
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [87]
% (eq)(apply(apply(w,apply(X,X)),f(apply(w,apply(X,X)))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(w,
% apply(X,X)),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 857
% Current number of ordered equations: 2
% Current number of rules: 78
% New rule produced :
% [88]
% (eq)(apply(apply(w,apply(X,X)),f(apply(w,apply(X,X)))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(apply(l,w),X),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 857
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [89]
% (eq)(apply(apply(w,apply(X,X)),f(apply(w,apply(X,X)))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(w,
% apply(X,X)),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 857
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [90]
% (eq)(apply(apply(apply(l,w),X),f(apply(w,apply(X,X)))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(w,
% apply(X,X)),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 909
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [91]
% (eq)(apply(apply(w,apply(X,X)),f(apply(apply(l,w),X))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(w,
% apply(X,X)),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [92]
% (eq)(apply(apply(w,apply(X,X)),f(apply(apply(l,w),X))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(apply(l,w),X),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 942
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [93]
% (eq)(apply(apply(apply(l,w),X),f(apply(apply(l,w),X))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(w,
% apply(X,X)),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [94]
% (eq)(apply(apply(w,apply(w,w)),f(apply(w,apply(l,w)))),apply(f(apply(w,
% apply(l,w))),
% apply(apply(w,
% apply(w,w)),
% f(apply(w,apply(l,w))))))
% -> (false)
% Current number of equations to process: 963
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [95]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(f(apply(
% apply(q,X),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(q,X),X)))))
% -> (false)
% Current number of equations to process: 966
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [96]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(w,q),X))),apply(f(apply(
% apply(q,X),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(q,X),X)))))
% -> (false)
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [97]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(f(apply(
% apply(w,q),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(q,X),X)))))
% -> (false)
% Current number of equations to process: 981
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [98]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(f(apply(
% apply(q,X),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(w,q),X)))))
% -> (false)
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [99]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(w,q),X))),apply(f(apply(
% apply(q,X),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(w,q),X)))))
% -> (false)
% Current number of equations to process: 992
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [100]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(w,q),X))),apply(f(apply(
% apply(w,q),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(q,X),X)))))
% -> (false)
% Current number of equations to process: 997
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [101]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(f(apply(
% apply(w,q),X)),
% apply(apply(apply(w,q),X),
% f(apply(apply(w,q),X)))))
% -> (false)
% Current number of equations to process: 1003
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [102]
% (eq)(apply(apply(w,apply(X,X)),f(apply(w,apply(X,X)))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(w,
% apply(X,X)),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 994
% Current number of ordered equations: 3
% Current number of rules: 93
% New rule produced :
% [103]
% (eq)(apply(apply(w,apply(X,X)),f(apply(w,apply(X,X)))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(apply(l,w),X),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 994
% Current number of ordered equations: 2
% Current number of rules: 94
% New rule produced :
% [104]
% (eq)(apply(apply(apply(l,w),X),f(apply(w,apply(X,X)))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(w,
% apply(X,X)),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 994
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [105]
% (eq)(apply(apply(w,apply(X,X)),f(apply(apply(l,w),X))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(w,
% apply(X,X)),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 994
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [106]
% (eq)(apply(apply(w,apply(X,X)),f(apply(w,apply(X,X)))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(apply(l,w),X),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 1048
% Current number of ordered equations: 2
% Current number of rules: 97
% New rule produced :
% [107]
% (eq)(apply(apply(apply(l,w),X),f(apply(w,apply(X,X)))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(apply(l,w),X),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 1048
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [108]
% (eq)(apply(apply(w,apply(X,X)),f(apply(apply(l,w),X))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(apply(l,w),X),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 1048
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [109]
% (eq)(apply(apply(apply(l,w),X),f(apply(w,apply(X,X)))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(w,
% apply(X,X)),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 1089
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [110]
% (eq)(apply(apply(w,apply(X,X)),f(apply(apply(l,w),X))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(w,
% apply(X,X)),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 1089
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [111]
% (eq)(apply(apply(apply(l,w),X),f(apply(apply(l,w),X))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(w,
% apply(X,X)),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [112]
% (eq)(apply(apply(w,apply(X,X)),f(apply(w,apply(X,X)))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(apply(l,w),X),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 1125
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [113]
% (eq)(apply(apply(w,apply(X,X)),f(apply(apply(l,w),X))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(apply(l,w),X),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 1132
% Current number of ordered equations: 3
% Current number of rules: 104
% New rule produced :
% [114]
% (eq)(apply(apply(w,apply(X,X)),f(apply(apply(l,w),X))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(apply(l,w),X),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 1132
% Current number of ordered equations: 2
% Current number of rules: 105
% New rule produced :
% [115]
% (eq)(apply(apply(apply(l,w),X),f(apply(apply(l,w),X))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(w,
% apply(X,X)),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 1152
% Current number of ordered equations: 3
% Current number of rules: 106
% New rule produced :
% [116]
% (eq)(apply(apply(apply(l,w),X),f(apply(apply(l,w),X))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(w,
% apply(X,X)),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 1152
% Current number of ordered equations: 2
% Current number of rules: 107
% New rule produced :
% [117]
% (eq)(apply(apply(w,apply(X,X)),f(apply(apply(l,w),X))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(w,
% apply(X,X)),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 1174
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [118]
% (eq)(apply(apply(apply(l,w),X),f(apply(w,apply(X,X)))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(w,
% apply(X,X)),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 1172
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [119]
% (eq)(apply(apply(apply(l,w),X),f(apply(w,apply(X,X)))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(apply(l,w),X),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 1181
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [120]
% (eq)(apply(apply(apply(l,w),X),f(apply(w,apply(X,X)))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(apply(l,w),X),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 1184
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [121]
% (eq)(apply(apply(apply(l,w),X),f(apply(apply(l,w),X))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(apply(l,w),X),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 1192
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [122]
% (eq)(apply(apply(apply(l,w),X),f(apply(w,apply(X,X)))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(apply(l,w),X),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 1190
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [123]
% (eq)(apply(apply(apply(l,w),X),f(apply(apply(l,w),X))),apply(f(apply(
% apply(l,w),X)),
% apply(apply(apply(l,w),X),
% f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 1197
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [124]
% (eq)(apply(apply(apply(l,w),X),f(apply(apply(l,w),X))),apply(f(apply(w,
% apply(X,X))),
% apply(apply(apply(l,w),X),
% f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 1204
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [125] apply(X,apply(apply(l,apply(Y,Y)),Y)) -> apply(apply(l,X),apply(Y,Y))
% Current number of equations to process: 1206
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [126] apply(X,apply(apply(Y,Y),apply(Y,Y))) <-> apply(apply(l,apply(l,X)),Y)
% Current number of equations to process: 1257
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [127] apply(apply(l,apply(l,X)),Y) <-> apply(X,apply(apply(Y,Y),apply(Y,Y)))
% Current number of equations to process: 1257
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [128] apply(apply(apply(l,X),Y),apply(Y,Y)) -> apply(apply(w,X),apply(Y,Y))
% Current number of equations to process: 1445
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [129] apply(apply(l,apply(X,apply(Y,Y))),Y) -> apply(apply(w,X),apply(Y,Y))
% Current number of equations to process: 1445
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [130] apply(apply(X,apply(Y,Y)),apply(Y,Y)) <-> apply(apply(l,apply(w,X)),Y)
% Current number of equations to process: 1510
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [131] apply(apply(l,apply(w,X)),Y) <-> apply(apply(X,apply(Y,Y)),apply(Y,Y))
% Current number of equations to process: 1510
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [132] apply(Y,apply(X,apply(Z,Z))) <-> apply(apply(l,apply(apply(q,X),Y)),Z)
% Current number of equations to process: 1567
% Current number of ordered equations: 5
% Current number of rules: 123
% New rule produced :
% [133] apply(Y,apply(apply(X,X),Z)) <-> apply(apply(apply(apply(l,q),X),Y),Z)
% Current number of equations to process: 1567
% Current number of ordered equations: 4
% Current number of rules: 124
% New rule produced :
% [134] apply(apply(Y,Y),apply(X,Z)) <-> apply(apply(apply(l,apply(q,X)),Y),Z)
% Current number of equations to process: 1567
% Current number of ordered equations: 3
% Current number of rules: 125
% New rule produced :
% [135] apply(apply(apply(apply(l,q),X),Y),Z) <-> apply(Y,apply(apply(X,X),Z))
% Current number of equations to process: 1567
% Current number of ordered equations: 2
% Current number of rules: 126
% New rule produced :
% [136] apply(apply(apply(l,apply(q,X)),Y),Z) <-> apply(apply(Y,Y),apply(X,Z))
% Current number of equations to process: 1567
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [137] apply(apply(l,apply(apply(q,X),Y)),Z) <-> apply(Y,apply(X,apply(Z,Z)))
% Current number of equations to process: 1567
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [138]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(apply(w,apply(apply(l,q),X)),
% f(apply(X,X)))) -> (false)
% Current number of equations to process: 1785
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [139]
% (eq)(apply(apply(apply(l,q),apply(l,q)),f(apply(apply(l,q),apply(l,q)))),
% apply(apply(apply(l,w),apply(l,q)),f(apply(apply(l,q),apply(l,q))))) ->
% (false)
% Current number of equations to process: 2386
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [140] apply(apply(w,apply(apply(q,Y),X)),Z) <-> apply(apply(X,apply(Y,Z)),Z)
% Current number of equations to process: 2385
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [141] apply(apply(X,apply(Y,Z)),Z) <-> apply(apply(w,apply(apply(q,Y),X)),Z)
% Current number of equations to process: 2385
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [142] apply(X,apply(X,X)) <-> apply(apply(w,apply(apply(q,q),w)),X)
% Current number of equations to process: 2520
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [143] apply(apply(w,apply(apply(q,q),w)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 2520
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [144] apply(apply(l,X),X) <-> apply(apply(w,apply(apply(q,q),w)),X)
% Current number of equations to process: 2519
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [145] apply(apply(w,apply(apply(q,q),w)),X) <-> apply(apply(l,X),X)
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 136
% Rule [144] apply(apply(l,X),X) <-> apply(apply(w,apply(apply(q,q),w)),X) is composed into 
% [144] apply(apply(l,X),X) <-> apply(apply(w,l),X)
% Rule [142] apply(X,apply(X,X)) <-> apply(apply(w,apply(apply(q,q),w)),X) is composed into 
% [142] apply(X,apply(X,X)) <-> apply(apply(w,l),X)
% New rule produced :
% [146] apply(apply(w,apply(apply(q,q),w)),X) -> apply(apply(w,l),X)
% Rule [143] apply(apply(w,apply(apply(q,q),w)),X) <-> apply(X,apply(X,X))
% collapsed.
% Rule [145] apply(apply(w,apply(apply(q,q),w)),X) <-> apply(apply(l,X),X)
% collapsed.
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [147] apply(apply(w,apply(w,apply(q,q))),w) -> apply(w,apply(w,w))
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [148] apply(apply(apply(w,l),X),apply(X,X)) -> apply(apply(w,X),apply(X,X))
% Current number of equations to process: 2672
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [149]
% (eq)(apply(f(apply(w,l)),apply(f(apply(w,l)),f(apply(w,l)))),apply(f(
% apply(w,l)),
% apply(f(
% apply(w,l)),
% apply(f(
% apply(w,l)),
% f(apply(w,l))))))
% -> (false)
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [150] apply(apply(q,X),apply(X,apply(q,X))) <-> apply(apply(w,w),apply(q,X))
% Current number of equations to process: 2709
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [151] apply(apply(w,w),apply(q,X)) <-> apply(apply(q,X),apply(X,apply(q,X)))
% Current number of equations to process: 2709
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [152] apply(X,apply(apply(l,X),Y)) <-> apply(apply(apply(w,q),X),apply(Y,Y))
% Current number of equations to process: 2744
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [153] apply(apply(apply(w,q),X),apply(Y,Y)) <-> apply(X,apply(apply(l,X),Y))
% Current number of equations to process: 2744
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [154] apply(X,apply(Y,apply(X,X))) <-> apply(apply(w,apply(q,apply(l,Y))),X)
% Current number of equations to process: 2884
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [155] apply(apply(w,apply(q,apply(l,Y))),X) <-> apply(X,apply(Y,apply(X,X)))
% Current number of equations to process: 2884
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [156] apply(apply(w,apply(q,apply(Y,X))),X) -> apply(X,apply(apply(w,Y),X))
% Current number of equations to process: 2975
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [157] apply(X,apply(apply(Y,X),X)) <-> apply(apply(w,apply(q,apply(w,Y))),X)
% Current number of equations to process: 3055
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [158] apply(apply(w,apply(q,apply(w,Y))),X) <-> apply(X,apply(apply(Y,X),X))
% Current number of equations to process: 3055
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [159] apply(X,apply(X,apply(X,X))) <-> apply(apply(w,apply(q,apply(w,l))),X)
% Current number of equations to process: 3149
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [160] apply(apply(w,apply(q,apply(w,l))),X) <-> apply(X,apply(X,apply(X,X)))
% Current number of equations to process: 3149
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [161] apply(X,apply(apply(X,X),X)) <-> apply(apply(w,apply(q,apply(w,w))),X)
% Current number of equations to process: 3189
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [162] apply(apply(w,apply(q,apply(w,w))),X) <-> apply(X,apply(apply(X,X),X))
% Current number of equations to process: 3189
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [163] apply(X,apply(X,apply(Y,Y))) <-> apply(apply(l,apply(apply(w,q),X)),Y)
% Current number of equations to process: 3240
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [164] apply(apply(l,apply(apply(w,q),X)),Y) <-> apply(X,apply(X,apply(Y,Y)))
% Current number of equations to process: 3240
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [165] apply(apply(X,apply(X,Y)),Y) <-> apply(apply(w,apply(apply(w,q),X)),Y)
% Current number of equations to process: 3418
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [166] apply(apply(w,apply(apply(w,q),X)),Y) <-> apply(apply(X,apply(X,Y)),Y)
% Current number of equations to process: 3418
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [167] apply(Y,apply(apply(X,X),Y)) <-> apply(apply(w,apply(apply(l,q),X)),Y)
% Current number of equations to process: 3556
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced :
% [168] apply(apply(w,apply(apply(l,q),X)),Y) <-> apply(Y,apply(apply(X,X),Y))
% Current number of equations to process: 3556
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [169] apply(apply(X,apply(Y,X)),X) <-> apply(apply(w,apply(w,apply(q,Y))),X)
% Current number of equations to process: 3723
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [170] apply(apply(w,apply(w,apply(q,Y))),X) <-> apply(apply(X,apply(Y,X)),X)
% Rule [147] apply(apply(w,apply(w,apply(q,q))),w) -> apply(w,apply(w,w))
% collapsed.
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [171] apply(apply(apply(l,X),X),X) <-> apply(apply(w,apply(apply(w,q),X)),X)
% Current number of equations to process: 3889
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [172] apply(apply(w,apply(apply(w,q),X)),X) <-> apply(apply(apply(l,X),X),X)
% Current number of equations to process: 3889
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [173] apply(apply(apply(l,X),X),X) <-> apply(apply(w,apply(w,apply(q,X))),X)
% Current number of equations to process: 3927
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [174] apply(apply(w,apply(w,apply(q,X))),X) <-> apply(apply(apply(l,X),X),X)
% Current number of equations to process: 3927
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [175] apply(apply(X,apply(X,X)),X) <-> apply(apply(w,apply(w,apply(w,q))),X)
% Current number of equations to process: 3971
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [176] apply(apply(w,apply(w,apply(w,q))),X) <-> apply(apply(X,apply(X,X)),X)
% Current number of equations to process: 3971
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [177] apply(apply(w,l),apply(X,X)) <-> apply(apply(l,apply(w,apply(w,q))),X)
% Current number of equations to process: 4045
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [178] apply(apply(l,apply(w,apply(w,q))),X) <-> apply(apply(w,l),apply(X,X))
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [179] apply(apply(apply(l,X),X),X) <-> apply(apply(w,apply(w,apply(w,q))),X)
% Current number of equations to process: 4121
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [180] apply(apply(w,apply(w,apply(w,q))),X) <-> apply(apply(apply(l,X),X),X)
% Current number of equations to process: 4121
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [181] apply(apply(w,apply(l,X)),X) <-> apply(apply(w,apply(w,apply(w,q))),X)
% Current number of equations to process: 4177
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [182] apply(apply(w,apply(w,apply(w,q))),X) <-> apply(apply(w,apply(l,X)),X)
% Current number of equations to process: 4177
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [183]
% (eq)(apply(apply(f(apply(w,w)),f(apply(w,w))),f(apply(w,w))),apply(f(
% apply(w,w)),
% apply(apply(
% f(
% apply(w,w)),
% f(
% apply(w,w))),
% f(apply(w,w)))))
% -> (false)
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [184] apply(X,apply(apply(apply(l,l),Y),Y)) -> apply(apply(l,X),apply(Y,Y))
% Current number of equations to process: 4245
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [185] apply(apply(apply(l,l),apply(X,X)),X) -> apply(apply(w,w),apply(X,X))
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [186] apply(apply(w,apply(apply(q,X),X)),X) -> apply(apply(apply(l,X),X),X)
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 174
% Rule [171]
% apply(apply(apply(l,X),X),X) <-> apply(apply(w,apply(apply(w,q),X)),X) is composed into 
% [171] apply(apply(apply(l,X),X),X) <-> apply(apply(w,apply(l,X)),X)
% New rule produced :
% [187] apply(apply(w,apply(apply(w,q),X)),X) -> apply(apply(w,apply(l,X)),X)
% Rule
% [172] apply(apply(w,apply(apply(w,q),X)),X) <-> apply(apply(apply(l,X),X),X)
% collapsed.
% Current number of equations to process: 4367
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [188] apply(X,apply(apply(X,X),Y)) <-> apply(apply(apply(w,apply(l,q)),X),Y)
% Current number of equations to process: 4389
% Current number of ordered equations: 3
% Current number of rules: 175
% New rule produced :
% [189] apply(apply(X,X),apply(Y,X)) <-> apply(apply(w,apply(l,apply(q,Y))),X)
% Current number of equations to process: 4389
% Current number of ordered equations: 2
% Current number of rules: 176
% New rule produced :
% [190] apply(apply(apply(w,apply(l,q)),X),Y) <-> apply(X,apply(apply(X,X),Y))
% Current number of equations to process: 4389
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [191] apply(apply(w,apply(l,apply(q,Y))),X) <-> apply(apply(X,X),apply(Y,X))
% Current number of equations to process: 4389
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [192] apply(apply(w,w),apply(X,X)) <-> apply(apply(w,apply(l,apply(l,l))),X)
% Current number of equations to process: 4913
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [193] apply(apply(w,apply(l,apply(l,l))),X) <-> apply(apply(w,w),apply(X,X))
% Current number of equations to process: 4913
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [194] apply(apply(X,Y),apply(X,Y)) <-> apply(apply(apply(l,w),apply(q,X)),Y)
% Current number of equations to process: 4997
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [195] apply(apply(apply(l,w),apply(q,X)),Y) <-> apply(apply(X,Y),apply(X,Y))
% Current number of equations to process: 4997
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [196] apply(apply(w,apply(w,apply(w,w))),q) -> apply(apply(q,apply(q,q)),q)
% Current number of equations to process: 2879
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [197] apply(X,apply(apply(w,apply(l,l)),Y)) <-> apply(apply(l,X),apply(Y,Y))
% Current number of equations to process: 2882
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [198] apply(apply(l,X),apply(Y,Y)) <-> apply(X,apply(apply(w,apply(l,l)),Y))
% Current number of equations to process: 2882
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [199] apply(apply(w,apply(w,w)),apply(l,w)) -> apply(apply(w,w),apply(l,w))
% Current number of equations to process: 3185
% Current number of ordered equations: 0
% Current number of rules: 186
% Rule [198]
% apply(apply(l,X),apply(Y,Y)) <-> apply(X,apply(apply(w,apply(l,l)),Y)) is composed into 
% [198] apply(apply(l,X),apply(Y,Y)) <-> apply(apply(l,apply(l,X)),Y)
% New rule produced :
% [200] apply(X,apply(apply(w,apply(l,l)),Y)) -> apply(apply(l,apply(l,X)),Y)
% Rule
% [197] apply(X,apply(apply(w,apply(l,l)),Y)) <-> apply(apply(l,X),apply(Y,Y))
% collapsed.
% Current number of equations to process: 3185
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [201] apply(apply(l,apply(apply(l,X),Y)),Y) -> apply(apply(w,X),apply(Y,Y))
% Current number of equations to process: 3303
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [202] apply(apply(w,X),apply(X,X)) <-> apply(apply(l,apply(apply(w,l),X)),X)
% Current number of equations to process: 3363
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [203] apply(apply(l,apply(apply(w,l),X)),X) <-> apply(apply(w,X),apply(X,X))
% Current number of equations to process: 3363
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [204] apply(apply(apply(l,apply(l,l)),X),X) -> apply(apply(w,w),apply(X,X))
% Current number of equations to process: 3489
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [205] apply(apply(l,apply(w,l)),apply(l,l)) -> apply(apply(w,w),apply(l,l))
% Current number of equations to process: 3513
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [206] apply(apply(l,apply(apply(q,Y),X)),Y) -> apply(X,apply(apply(w,l),Y))
% Current number of equations to process: 3524
% Current number of ordered equations: 0
% Current number of rules: 192
% Rule [132]
% apply(Y,apply(X,apply(Z,Z))) <-> apply(apply(l,apply(apply(q,X),Y)),Z) is composed into 
% [132] apply(Y,apply(X,apply(Z,Z))) <-> apply(Y,apply(apply(l,X),Z))
% New rule produced :
% [207] apply(apply(l,apply(apply(q,Y),X)),Z) -> apply(X,apply(apply(l,Y),Z))
% Rule
% [137] apply(apply(l,apply(apply(q,X),Y)),Z) <-> apply(Y,apply(X,apply(Z,Z)))
% collapsed.
% Rule
% [206] apply(apply(l,apply(apply(q,Y),X)),Y) -> apply(X,apply(apply(w,l),Y))
% collapsed.
% Current number of equations to process: 3582
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [208] apply(apply(apply(apply(l,q),Y),X),Y) -> apply(X,apply(apply(w,Y),Y))
% Current number of equations to process: 3665
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [209] apply(apply(l,apply(X,X)),Y) <-> apply(apply(apply(l,apply(q,Y)),X),Y)
% Current number of equations to process: 3726
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [210] apply(apply(apply(l,apply(q,Y)),X),Y) <-> apply(apply(l,apply(X,X)),Y)
% Current number of equations to process: 3726
% Current number of ordered equations: 0
% Current number of rules: 194
% Rule [209]
% apply(apply(l,apply(X,X)),Y) <-> apply(apply(apply(l,apply(q,Y)),X),Y) is composed into 
% [209] apply(apply(l,apply(X,X)),Y) <-> apply(apply(apply(l,l),X),Y)
% New rule produced :
% [211] apply(apply(apply(l,apply(q,Y)),X),Y) -> apply(apply(apply(l,l),X),Y)
% Rule
% [210] apply(apply(apply(l,apply(q,Y)),X),Y) <-> apply(apply(l,apply(X,X)),Y)
% collapsed.
% Current number of equations to process: 3841
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [212] apply(X,apply(apply(X,X),X)) <-> apply(apply(w,apply(w,apply(l,q))),X)
% Current number of equations to process: 3893
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [213] apply(apply(w,apply(w,apply(l,q))),X) <-> apply(X,apply(apply(X,X),X))
% Current number of equations to process: 3893
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [214]
% (eq)(apply(apply(q,X),apply(X,f(apply(apply(q,X),apply(q,X))))),apply(
% apply(w,
% apply(
% apply(l,q),
% apply(q,X))),
% f(apply(
% apply(q,X),
% apply(q,X)))))
% -> (false)
% Current number of equations to process: 3967
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [215] apply(apply(w,apply(apply(q,w),w)),X) -> apply(apply(w,apply(w,w)),X)
% Current number of equations to process: 4022
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [216] apply(apply(w,apply(apply(q,Y),X)),Y) -> apply(apply(apply(l,X),Y),Y)
% Rule
% [186] apply(apply(w,apply(apply(q,X),X)),X) -> apply(apply(apply(l,X),X),X)
% collapsed.
% Current number of equations to process: 4050
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [217] apply(apply(w,apply(apply(q,X),l)),Y) <-> apply(apply(X,Y),apply(Y,Y))
% Current number of equations to process: 4100
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [218] apply(apply(X,Y),apply(Y,Y)) <-> apply(apply(w,apply(apply(q,X),l)),Y)
% Current number of equations to process: 4100
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [219] apply(apply(apply(X,Y),Y),Y) <-> apply(apply(w,apply(apply(q,X),w)),Y)
% Current number of equations to process: 4383
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [220] apply(apply(w,apply(apply(q,X),w)),Y) <-> apply(apply(apply(X,Y),Y),Y)
% Current number of equations to process: 4383
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [221] apply(apply(w,apply(apply(q,l),w)),X) <-> apply(apply(X,apply(X,X)),X)
% Current number of equations to process: 4521
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [222] apply(apply(X,apply(X,X)),X) <-> apply(apply(w,apply(apply(q,l),w)),X)
% Current number of equations to process: 4521
% Current number of ordered equations: 0
% Current number of rules: 204
% Rule [222]
% apply(apply(X,apply(X,X)),X) <-> apply(apply(w,apply(apply(q,l),w)),X) is composed into 
% [222] apply(apply(X,apply(X,X)),X) <-> apply(apply(w,apply(w,l)),X)
% Rule [219]
% apply(apply(apply(X,Y),Y),Y) <-> apply(apply(w,apply(apply(q,X),w)),Y) is composed into 
% [219] apply(apply(apply(X,Y),Y),Y) <-> apply(apply(w,apply(w,X)),Y)
% New rule produced :
% [223] apply(apply(w,apply(apply(q,X),w)),Y) -> apply(apply(w,apply(w,X)),Y)
% Rule [146] apply(apply(w,apply(apply(q,q),w)),X) -> apply(apply(w,l),X)
% collapsed.
% Rule
% [215] apply(apply(w,apply(apply(q,w),w)),X) -> apply(apply(w,apply(w,w)),X)
% collapsed.
% Rule
% [220] apply(apply(w,apply(apply(q,X),w)),Y) <-> apply(apply(apply(X,Y),Y),Y)
% collapsed.
% Rule
% [221] apply(apply(w,apply(apply(q,l),w)),X) <-> apply(apply(X,apply(X,X)),X)
% collapsed.
% Current number of equations to process: 4580
% Current number of ordered equations: 0
% Current number of rules: 201
% Rule [173]
% apply(apply(apply(l,X),X),X) <-> apply(apply(w,apply(w,apply(q,X))),X) is composed into 
% [173] apply(apply(apply(l,X),X),X) <-> apply(apply(w,apply(l,X)),X)
% New rule produced :
% [224] apply(apply(w,apply(w,apply(q,X))),X) -> apply(apply(w,apply(l,X)),X)
% Rule
% [174] apply(apply(w,apply(w,apply(q,X))),X) <-> apply(apply(apply(l,X),X),X)
% collapsed.
% Current number of equations to process: 4615
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [225] apply(X,apply(apply(l,X),Y)) <-> apply(apply(l,apply(apply(w,q),X)),Y)
% Current number of equations to process: 4635
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [226] apply(apply(l,apply(apply(w,q),X)),Y) <-> apply(X,apply(apply(l,X),Y))
% Current number of equations to process: 4635
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [227] apply(X,apply(apply(w,X),X)) <-> apply(apply(w,apply(apply(l,q),X)),X)
% Current number of equations to process: 4816
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [228] apply(apply(w,apply(apply(l,q),X)),X) <-> apply(X,apply(apply(w,X),X))
% Current number of equations to process: 4816
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [229] apply(apply(l,apply(apply(w,q),X)),X) -> apply(X,apply(apply(w,l),X))
% Current number of equations to process: 4867
% Current number of ordered equations: 0
% Current number of rules: 206
% Rule [227]
% apply(X,apply(apply(w,X),X)) <-> apply(apply(w,apply(apply(l,q),X)),X) is composed into 
% [227] apply(X,apply(apply(w,X),X)) <-> apply(X,apply(apply(w,w),X))
% New rule produced :
% [230] apply(apply(w,apply(apply(l,q),X)),X) -> apply(X,apply(apply(w,w),X))
% Rule
% [228] apply(apply(w,apply(apply(l,q),X)),X) <-> apply(X,apply(apply(w,X),X))
% collapsed.
% Current number of equations to process: 4893
% Current number of ordered equations: 0
% Current number of rules: 206
% Rule [181]
% apply(apply(w,apply(l,X)),X) <-> apply(apply(w,apply(w,apply(w,q))),X) is composed into 
% [181] apply(apply(w,apply(l,X)),X) <-> apply(apply(w,apply(w,l)),X)
% Rule [179]
% apply(apply(apply(l,X),X),X) <-> apply(apply(w,apply(w,apply(w,q))),X) is composed into 
% [179] apply(apply(apply(l,X),X),X) <-> apply(apply(w,apply(w,l)),X)
% Rule [175]
% apply(apply(X,apply(X,X)),X) <-> apply(apply(w,apply(w,apply(w,q))),X) is composed into 
% [175] apply(apply(X,apply(X,X)),X) <-> apply(apply(w,apply(w,l)),X)
% New rule produced :
% [231] apply(apply(w,apply(w,apply(w,q))),X) -> apply(apply(w,apply(w,l)),X)
% Rule
% [176] apply(apply(w,apply(w,apply(w,q))),X) <-> apply(apply(X,apply(X,X)),X)
% collapsed.
% Rule
% [180] apply(apply(w,apply(w,apply(w,q))),X) <-> apply(apply(apply(l,X),X),X)
% collapsed.
% Rule
% [182] apply(apply(w,apply(w,apply(w,q))),X) <-> apply(apply(w,apply(l,X)),X)
% collapsed.
% Current number of equations to process: 4901
% Current number of ordered equations: 0
% Current number of rules: 204
% Rule [177]
% apply(apply(w,l),apply(X,X)) <-> apply(apply(l,apply(w,apply(w,q))),X) is composed into 
% [177] apply(apply(w,l),apply(X,X)) <-> apply(apply(l,apply(w,l)),X)
% New rule produced :
% [232] apply(apply(l,apply(w,apply(w,q))),X) -> apply(apply(l,apply(w,l)),X)
% Rule
% [178] apply(apply(l,apply(w,apply(w,q))),X) <-> apply(apply(w,l),apply(X,X))
% collapsed.
% Current number of equations to process: 4935
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [233] apply(apply(l,apply(X,X)),X) <-> apply(apply(w,apply(l,apply(q,X))),X)
% Current number of equations to process: 4961
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [234] apply(apply(w,apply(l,apply(q,X))),X) <-> apply(apply(l,apply(X,X)),X)
% Current number of equations to process: 4961
% Current number of ordered equations: 0
% Current number of rules: 206
% Rule [233]
% apply(apply(l,apply(X,X)),X) <-> apply(apply(w,apply(l,apply(q,X))),X) is composed into 
% [233] apply(apply(l,apply(X,X)),X) <-> apply(apply(apply(l,l),X),X)
% New rule produced :
% [235] apply(apply(w,apply(l,apply(q,X))),X) -> apply(apply(apply(l,l),X),X)
% Rule
% [234] apply(apply(w,apply(l,apply(q,X))),X) <-> apply(apply(l,apply(X,X)),X)
% collapsed.
% Current number of equations to process: 1530
% Current number of ordered equations: 0
% Current number of rules: 206
% Rule [192]
% apply(apply(w,w),apply(X,X)) <-> apply(apply(w,apply(l,apply(l,l))),X) is composed into 
% [192] apply(apply(w,w),apply(X,X)) <-> apply(apply(l,apply(w,w)),X)
% New rule produced :
% [236] apply(apply(w,apply(l,apply(l,l))),X) -> apply(apply(l,apply(w,w)),X)
% Rule
% [193] apply(apply(w,apply(l,apply(l,l))),X) <-> apply(apply(w,w),apply(X,X))
% collapsed.
% Current number of equations to process: 1558
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [237] apply(apply(l,apply(X,X)),X) <-> apply(apply(apply(l,w),apply(q,X)),X)
% Current number of equations to process: 1594
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [238] apply(apply(apply(l,w),apply(q,X)),X) <-> apply(apply(l,apply(X,X)),X)
% Current number of equations to process: 1594
% Current number of ordered equations: 0
% Current number of rules: 208
% Rule [237]
% apply(apply(l,apply(X,X)),X) <-> apply(apply(apply(l,w),apply(q,X)),X) is composed into 
% [237] apply(apply(l,apply(X,X)),X) <-> apply(apply(apply(l,l),X),X)
% New rule produced :
% [239] apply(apply(apply(l,w),apply(q,X)),X) -> apply(apply(apply(l,l),X),X)
% Rule
% [238] apply(apply(apply(l,w),apply(q,X)),X) <-> apply(apply(l,apply(X,X)),X)
% collapsed.
% Current number of equations to process: 1666
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [240] apply(apply(w,apply(l,apply(l,w))),q) -> apply(apply(q,q),apply(q,q))
% Current number of equations to process: 1694
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [241] apply(l,apply(apply(w,w),apply(l,l))) -> apply(apply(w,l),apply(l,l))
% Current number of equations to process: 1697
% Current number of ordered equations: 0
% Current number of rules: 210
% Rule [202]
% apply(apply(w,X),apply(X,X)) <-> apply(apply(l,apply(apply(w,l),X)),X) is composed into 
% [202] apply(apply(w,X),apply(X,X)) <-> apply(apply(l,apply(w,X)),X)
% New rule produced :
% [242] apply(apply(l,apply(apply(w,l),X)),X) -> apply(apply(l,apply(w,X)),X)
% Rule
% [203] apply(apply(l,apply(apply(w,l),X)),X) <-> apply(apply(w,X),apply(X,X))
% collapsed.
% Current number of equations to process: 1712
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [243] apply(X,apply(apply(w,X),X)) <-> apply(apply(w,apply(w,apply(l,q))),X)
% Current number of equations to process: 1752
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [244] apply(apply(w,apply(w,apply(l,q))),X) <-> apply(X,apply(apply(w,X),X))
% Current number of equations to process: 1752
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [245] apply(X,apply(apply(w,w),X)) <-> apply(apply(w,apply(w,apply(l,q))),X)
% Current number of equations to process: 1812
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [246] apply(apply(w,apply(w,apply(l,q))),X) <-> apply(X,apply(apply(w,w),X))
% Current number of equations to process: 1812
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [247]
% (eq)(apply(apply(apply(X,X),f(apply(apply(l,w),X))),f(apply(w,apply(X,X)))),
% apply(f(apply(w,apply(X,X))),apply(apply(w,apply(X,X)),f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 1906
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [248]
% (eq)(apply(apply(apply(X,X),f(apply(w,apply(X,X)))),f(apply(apply(l,w),X))),
% apply(f(apply(w,apply(X,X))),apply(apply(w,apply(X,X)),f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 1906
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [249]
% (eq)(apply(apply(X,X),apply(f(apply(l,apply(X,X))),f(apply(l,apply(X,X))))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2000
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [250]
% (eq)(apply(apply(apply(l,l),X),f(apply(l,apply(X,X)))),apply(f(apply(l,
% apply(X,X))),
% apply(apply(apply(l,l),X),
% f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [251]
% (eq)(apply(apply(apply(l,l),X),f(apply(l,apply(X,X)))),apply(f(apply(
% apply(l,l),X)),
% apply(apply(apply(l,l),X),
% f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2060
% Current number of ordered equations: 2
% Current number of rules: 219
% New rule produced :
% [252]
% (eq)(apply(apply(apply(l,l),X),f(apply(l,apply(X,X)))),apply(f(apply(l,
% apply(X,X))),
% apply(apply(apply(l,l),X),
% f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 2060
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [253]
% (eq)(apply(apply(apply(l,l),X),f(apply(apply(l,l),X))),apply(f(apply(l,
% apply(X,X))),
% apply(apply(apply(l,l),X),
% f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [254]
% (eq)(apply(apply(apply(l,l),X),f(apply(l,apply(X,X)))),apply(f(apply(
% apply(l,l),X)),
% apply(apply(apply(l,l),X),
% f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 2074
% Current number of ordered equations: 1
% Current number of rules: 222
% New rule produced :
% [255]
% (eq)(apply(apply(apply(l,l),X),f(apply(apply(l,l),X))),apply(f(apply(
% apply(l,l),X)),
% apply(apply(apply(l,l),X),
% f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2074
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [256]
% (eq)(apply(apply(apply(l,l),X),f(apply(apply(l,l),X))),apply(f(apply(l,
% apply(X,X))),
% apply(apply(apply(l,l),X),
% f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [257]
% (eq)(apply(apply(X,X),apply(f(apply(apply(l,l),X)),f(apply(apply(l,l),X)))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 2138
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [258]
% (eq)(apply(apply(w,apply(X,f(apply(w,apply(w,X))))),f(apply(w,apply(w,X)))),
% apply(f(apply(w,apply(w,X))),apply(apply(w,apply(w,X)),f(apply(w,apply(w,X))))))
% -> (false)
% Current number of equations to process: 2168
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [259]
% (eq)(apply(apply(w,apply(w,f(apply(w,apply(l,w))))),f(apply(w,apply(l,w)))),
% apply(f(apply(w,apply(l,w))),apply(apply(w,apply(w,w)),f(apply(w,apply(l,w))))))
% -> (false)
% Current number of equations to process: 2191
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [260]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 2189
% Current number of ordered equations: 3
% Current number of rules: 228
% New rule produced :
% [261]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 2189
% Current number of ordered equations: 2
% Current number of rules: 229
% New rule produced :
% [262]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 2189
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [263]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 2189
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [264]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 2343
% Current number of ordered equations: 2
% Current number of rules: 232
% New rule produced :
% [265]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 2343
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [266]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 2410
% Current number of ordered equations: 3
% Current number of rules: 234
% New rule produced :
% [267]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 2410
% Current number of ordered equations: 2
% Current number of rules: 235
% New rule produced :
% [268]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 2410
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [269]
% (eq)(apply(apply(q,X),apply(X,f(apply(apply(apply(l,w),apply(q,q)),X)))),
% apply(apply(w,apply(apply(l,q),apply(q,X))),f(apply(apply(q,X),apply(q,X)))))
% -> (false)
% Current number of equations to process: 2568
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [270]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 2637
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [271]
% (eq)(apply(apply(apply(X,X),f(apply(apply(l,w),X))),f(apply(w,apply(X,X)))),
% apply(f(apply(apply(l,w),X)),apply(apply(w,apply(X,X)),f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2672
% Current number of ordered equations: 2
% Current number of rules: 239
% New rule produced :
% [272]
% (eq)(apply(apply(apply(X,X),f(apply(apply(l,w),X))),f(apply(w,apply(X,X)))),
% apply(f(apply(w,apply(X,X))),apply(apply(apply(l,w),X),f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2672
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced :
% [273]
% (eq)(apply(apply(apply(X,X),f(apply(apply(l,w),X))),f(apply(w,apply(X,X)))),
% apply(f(apply(w,apply(X,X))),apply(apply(w,apply(X,X)),f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 2672
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [274]
% (eq)(apply(apply(apply(X,X),f(apply(w,apply(X,X)))),f(apply(apply(l,w),X))),
% apply(f(apply(apply(l,w),X)),apply(apply(w,apply(X,X)),f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2759
% Current number of ordered equations: 2
% Current number of rules: 242
% New rule produced :
% [275]
% (eq)(apply(apply(apply(X,X),f(apply(w,apply(X,X)))),f(apply(apply(l,w),X))),
% apply(f(apply(w,apply(X,X))),apply(apply(apply(l,w),X),f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2759
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [276]
% (eq)(apply(apply(apply(X,X),f(apply(w,apply(X,X)))),f(apply(apply(l,w),X))),
% apply(f(apply(w,apply(X,X))),apply(apply(w,apply(X,X)),f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 2759
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [277]
% (eq)(apply(apply(X,X),apply(f(apply(apply(l,l),X)),f(apply(l,apply(X,X))))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2842
% Current number of ordered equations: 3
% Current number of rules: 245
% New rule produced :
% [278]
% (eq)(apply(apply(X,X),apply(f(apply(l,apply(X,X))),f(apply(l,apply(X,X))))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2842
% Current number of ordered equations: 2
% Current number of rules: 246
% New rule produced :
% [279]
% (eq)(apply(apply(X,X),apply(f(apply(l,apply(X,X))),f(apply(l,apply(X,X))))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 2842
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [280]
% (eq)(apply(apply(X,X),apply(f(apply(l,apply(X,X))),f(apply(apply(l,l),X)))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2842
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [281]
% (eq)(apply(apply(X,X),apply(f(apply(apply(l,l),X)),f(apply(apply(l,l),X)))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 2976
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [282]
% (eq)(apply(apply(X,X),apply(f(apply(l,apply(X,X))),f(apply(l,apply(X,X))))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 3002
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [283]
% (eq)(apply(apply(X,X),apply(f(apply(apply(l,l),X)),f(apply(apply(l,l),X)))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 3028
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [284]
% (eq)(apply(apply(X,X),apply(f(apply(apply(l,l),X)),f(apply(apply(l,l),X)))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 3047
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [285]
% (eq)(apply(apply(X,X),apply(f(apply(apply(l,l),X)),f(apply(l,apply(X,X))))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 3066
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [286]
% (eq)(apply(apply(X,X),apply(f(apply(l,apply(X,X))),f(apply(apply(l,l),X)))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 3066
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [287]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3114
% Current number of ordered equations: 2
% Current number of rules: 255
% New rule produced :
% [288]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3114
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [289]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 3114
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [290]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3185
% Current number of ordered equations: 1
% Current number of rules: 258
% New rule produced :
% [291]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 3185
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [292]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3218
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [293]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 3218
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [294]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3238
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced :
% [295]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 3238
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [296]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3282
% Current number of ordered equations: 1
% Current number of rules: 264
% New rule produced :
% [297]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 3282
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [298]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3316
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [299]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 3316
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [300]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 3342
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [301]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 3367
% Current number of ordered equations: 2
% Current number of rules: 269
% New rule produced :
% [302]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3367
% Current number of ordered equations: 1
% Current number of rules: 270
% New rule produced :
% [303]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3367
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [304]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 3458
% Current number of ordered equations: 2
% Current number of rules: 272
% New rule produced :
% [305]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3458
% Current number of ordered equations: 1
% Current number of rules: 273
% New rule produced :
% [306]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3458
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [307]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 3596
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [308]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 3596
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [309]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 3631
% Current number of ordered equations: 1
% Current number of rules: 277
% New rule produced :
% [310]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 3631
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [311]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3654
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [312]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 3654
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [313]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3702
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [314]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 3702
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [315]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 3732
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [316]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3756
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced :
% [317]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 3756
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [318]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 3785
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced :
% [319]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 3785
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [320]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 3849
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [321]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 3870
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [322]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 3892
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [323]
% (eq)(apply(apply(apply(X,X),f(apply(apply(l,w),X))),f(apply(w,apply(X,X)))),
% apply(f(apply(apply(l,w),X)),apply(apply(w,apply(X,X)),f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 3889
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [324]
% (eq)(apply(apply(apply(X,X),f(apply(apply(l,w),X))),f(apply(w,apply(X,X)))),
% apply(f(apply(apply(l,w),X)),apply(apply(apply(l,w),X),f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 3916
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [325]
% (eq)(apply(apply(apply(X,X),f(apply(apply(l,w),X))),f(apply(w,apply(X,X)))),
% apply(f(apply(w,apply(X,X))),apply(apply(apply(l,w),X),f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 3936
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [326]
% (eq)(apply(apply(apply(X,X),f(apply(w,apply(X,X)))),f(apply(apply(l,w),X))),
% apply(f(apply(apply(l,w),X)),apply(apply(apply(l,w),X),f(apply(w,apply(X,X))))))
% -> (false)
% Current number of equations to process: 3956
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [327]
% (eq)(apply(apply(apply(X,X),f(apply(w,apply(X,X)))),f(apply(apply(l,w),X))),
% apply(f(apply(apply(l,w),X)),apply(apply(w,apply(X,X)),f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 3980
% Current number of ordered equations: 1
% Current number of rules: 295
% New rule produced :
% [328]
% (eq)(apply(apply(apply(X,X),f(apply(w,apply(X,X)))),f(apply(apply(l,w),X))),
% apply(f(apply(w,apply(X,X))),apply(apply(apply(l,w),X),f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 3980
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [329]
% (eq)(apply(apply(X,X),apply(f(apply(apply(l,l),X)),f(apply(l,apply(X,X))))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 4019
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [330]
% (eq)(apply(apply(X,X),apply(f(apply(apply(l,l),X)),f(apply(l,apply(X,X))))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 4048
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [331]
% (eq)(apply(apply(X,X),apply(f(apply(l,apply(X,X))),f(apply(apply(l,l),X)))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 4070
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [332]
% (eq)(apply(apply(X,X),apply(f(apply(l,apply(X,X))),f(apply(apply(l,l),X)))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 4092
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [333]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4098
% Current number of ordered equations: 1
% Current number of rules: 301
% New rule produced :
% [334]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4116
% Current number of ordered equations: 1
% Current number of rules: 302
% New rule produced :
% [335]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4126
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [336]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 4138
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [337]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4154
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [338]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 4171
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [339]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4171
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [340]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 4196
% Current number of ordered equations: 1
% Current number of rules: 308
% New rule produced :
% [341]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4196
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [342]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4202
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [343]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4213
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [344]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4216
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [345]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4225
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [346]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4222
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [347]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4220
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [348]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4206
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [349]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 4229
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [350]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4229
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [351]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 4254
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced :
% [352]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4254
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [353]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4268
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [354]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4280
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [355]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4282
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [356]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4290
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [357]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [358]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [359]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4272
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [360]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4272
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [361]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4299
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [362]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [363]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4317
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [364]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4317
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [365]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4363
% Current number of ordered equations: 1
% Current number of rules: 333
% New rule produced :
% [366]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4363
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [367]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 4406
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [368]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 4428
% Current number of ordered equations: 1
% Current number of rules: 336
% New rule produced :
% [369]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4428
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [370]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 4458
% Current number of ordered equations: 1
% Current number of rules: 338
% New rule produced :
% [371]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4458
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [372]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(X,X),apply(X,X)))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4491
% Current number of ordered equations: 1
% Current number of rules: 340
% New rule produced :
% [373]
% (eq)(apply(apply(apply(X,X),apply(X,X)),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [374]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(X,X),apply(X,X)))))
% -> (false)
% Current number of equations to process: 4552
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [375]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4560
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [376]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4569
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [377]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4566
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [378]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4566
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [379]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4554
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [380]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4566
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [381]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [382]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4571
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [383]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4562
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [384]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [385]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4561
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [386]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,q),apply(X,X))),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4565
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [387]
% (eq)(apply(apply(apply(X,X),f(apply(apply(l,w),X))),f(apply(w,apply(X,X)))),
% apply(f(apply(apply(l,w),X)),apply(apply(apply(l,w),X),f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 4554
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [388]
% (eq)(apply(apply(apply(X,X),f(apply(w,apply(X,X)))),f(apply(apply(l,w),X))),
% apply(f(apply(apply(l,w),X)),apply(apply(apply(l,w),X),f(apply(apply(l,w),X)))))
% -> (false)
% Current number of equations to process: 4575
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [389]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [390]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4596
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [391]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [392]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4585
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [393]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [394]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [395]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [396]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4601
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [397]
% (eq)(apply(apply(apply(l,apply(X,X)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [398]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4537
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [399]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4546
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [400]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4548
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [401]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4555
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [402]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4554
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [403]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(l,apply(X,X)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4555
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [404]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4498
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [405]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4505
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [406]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4504
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [407]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(l,apply(X,X)),X))))
% -> (false)
% Current number of equations to process: 4505
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [408]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4499
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [409]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4505
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [410]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4506
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [411]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(apply(l,l),X),X))))
% -> (false)
% Current number of equations to process: 4506
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [412]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4500
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [413]
% (eq)(apply(apply(apply(apply(l,l),X),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4501
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [414]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(apply(l,l),X),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4497
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [415]
% (eq)(apply(apply(apply(w,apply(l,l)),X),f(apply(apply(w,apply(l,l)),X))),
% apply(apply(w,apply(apply(l,apply(l,q)),X)),f(apply(apply(w,apply(l,l)),X))))
% -> (false)
% Current number of equations to process: 4494
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [416]
% apply(apply(apply(w,q),X),apply(X,Y)) ->
% apply(X,apply(apply(apply(w,q),X),Y))
% Current number of equations to process: 4332
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [417]
% apply(apply(l,X),apply(X,apply(Y,Y))) <->
% apply(apply(apply(w,q),apply(l,X)),Y)
% Current number of equations to process: 4488
% Current number of ordered equations: 1
% Current number of rules: 385
% New rule produced :
% [418]
% apply(apply(apply(w,q),apply(l,X)),Y) <->
% apply(apply(l,X),apply(X,apply(Y,Y)))
% Current number of equations to process: 4488
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [419]
% apply(apply(X,Y),apply(apply(w,X),Y)) <->
% apply(apply(apply(w,q),apply(X,Y)),Y)
% Current number of equations to process: 4676
% Current number of ordered equations: 1
% Current number of rules: 387
% New rule produced :
% [420]
% apply(apply(apply(w,q),apply(X,Y)),Y) <->
% apply(apply(X,Y),apply(apply(w,X),Y))
% Current number of equations to process: 4676
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [421]
% apply(apply(w,X),apply(apply(X,Y),Y)) <->
% apply(apply(apply(w,q),apply(w,X)),Y)
% Current number of equations to process: 2289
% Current number of ordered equations: 1
% Current number of rules: 389
% New rule produced :
% [422]
% apply(apply(apply(w,q),apply(w,X)),Y) <->
% apply(apply(w,X),apply(apply(X,Y),Y))
% Current number of equations to process: 2289
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [423]
% apply(apply(apply(w,q),apply(X,X)),X) ->
% apply(apply(X,X),apply(apply(w,w),X))
% Current number of equations to process: 2475
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [424]
% apply(apply(X,X),apply(apply(l,Y),X)) <->
% apply(apply(w,apply(q,Y)),apply(X,X))
% Current number of equations to process: 2504
% Current number of ordered equations: 1
% Current number of rules: 392
% New rule produced :
% [425]
% apply(apply(w,apply(q,Y)),apply(X,X)) <->
% apply(apply(X,X),apply(apply(l,Y),X))
% Current number of equations to process: 2504
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [426]
% apply(apply(X,X),apply(apply(w,l),X)) <->
% apply(apply(w,apply(q,X)),apply(X,X))
% Current number of equations to process: 2680
% Current number of ordered equations: 1
% Current number of rules: 394
% New rule produced :
% [427]
% apply(apply(w,apply(q,X)),apply(X,X)) <->
% apply(apply(X,X),apply(apply(w,l),X))
% Current number of equations to process: 2680
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [428]
% apply(apply(apply(w,q),X),apply(Y,X)) ->
% apply(X,apply(apply(w,apply(q,Y)),X))
% Current number of equations to process: 2827
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [429]
% apply(apply(X,X),apply(apply(X,X),Y)) <->
% apply(apply(apply(l,apply(w,q)),X),Y)
% Current number of equations to process: 3007
% Current number of ordered equations: 1
% Current number of rules: 397
% New rule produced :
% [430]
% apply(apply(apply(l,apply(w,q)),X),Y) <->
% apply(apply(X,X),apply(apply(X,X),Y))
% Current number of equations to process: 3007
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [431]
% apply(apply(Y,Y),apply(X,apply(Y,Y))) <->
% apply(apply(l,apply(w,apply(q,X))),Y)
% Current number of equations to process: 3208
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [432]
% apply(apply(l,apply(w,apply(q,X))),Y) <->
% apply(apply(Y,Y),apply(X,apply(Y,Y)))
% Current number of equations to process: 3208
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [433]
% apply(apply(q,X),apply(X,apply(Y,Y))) <->
% apply(apply(apply(l,l),apply(q,X)),Y)
% Current number of equations to process: 3409
% Current number of ordered equations: 1
% Current number of rules: 401
% New rule produced :
% [434]
% apply(apply(apply(l,l),apply(q,X)),Y) <->
% apply(apply(q,X),apply(X,apply(Y,Y)))
% Current number of equations to process: 3409
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [435]
% apply(apply(apply(X,X),apply(Y,Y)),Y) <->
% apply(apply(w,apply(apply(l,l),X)),Y)
% Current number of equations to process: 3632
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [436]
% apply(apply(w,apply(apply(l,l),X)),Y) <->
% apply(apply(apply(X,X),apply(Y,Y)),Y)
% Current number of equations to process: 3632
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [437]
% apply(apply(apply(apply(l,w),X),Y),Y) <->
% apply(apply(w,apply(apply(X,X),Y)),Y)
% Current number of equations to process: 3746
% Current number of ordered equations: 1
% Current number of rules: 405
% New rule produced :
% [438]
% apply(apply(w,apply(apply(X,X),Y)),Y) <->
% apply(apply(apply(apply(l,w),X),Y),Y)
% Current number of equations to process: 3746
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [439]
% apply(apply(X,X),apply(apply(X,X),X)) <->
% apply(apply(w,apply(l,apply(w,q))),X)
% Current number of equations to process: 3894
% Current number of ordered equations: 1
% Current number of rules: 407
% New rule produced :
% [440]
% apply(apply(w,apply(l,apply(w,q))),X) <->
% apply(apply(X,X),apply(apply(X,X),X))
% Current number of equations to process: 3894
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [441]
% apply(apply(apply(apply(l,l),X),Y),Y) <->
% apply(apply(w,apply(l,apply(X,X))),Y)
% Current number of equations to process: 3987
% Current number of ordered equations: 1
% Current number of rules: 409
% New rule produced :
% [442]
% apply(apply(w,apply(l,apply(X,X))),Y) <->
% apply(apply(apply(apply(l,l),X),Y),Y)
% Current number of equations to process: 3987
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [443]
% apply(apply(w,apply(apply(X,X),X)),X) <->
% apply(apply(w,apply(apply(l,w),X)),X)
% Current number of equations to process: 4088
% Current number of ordered equations: 1
% Current number of rules: 411
% New rule produced :
% [444]
% apply(apply(w,apply(apply(l,w),X)),X) <->
% apply(apply(w,apply(apply(X,X),X)),X)
% Current number of equations to process: 4088
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [445] apply(apply(w,apply(w,apply(l,l))),l) -> apply(apply(w,w),apply(l,l))
% Current number of equations to process: 4090
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [446]
% apply(apply(apply(X,apply(Y,Y)),Y),Y) <->
% apply(apply(w,apply(w,apply(l,X))),Y)
% Current number of equations to process: 4163
% Current number of ordered equations: 1
% Current number of rules: 414
% New rule produced :
% [447]
% apply(apply(w,apply(w,apply(l,X))),Y) <->
% apply(apply(apply(X,apply(Y,Y)),Y),Y)
% Current number of equations to process: 4163
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [448] apply(apply(w,apply(w,apply(l,w))),l) -> apply(apply(w,w),apply(l,l))
% Current number of equations to process: 4172
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [449] apply(apply(w,apply(w,apply(l,w))),q) -> apply(apply(q,apply(q,q)),q)
% Current number of equations to process: 4182
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [450]
% apply(apply(apply(X,apply(Y,Y)),Y),Y) <->
% apply(apply(w,apply(apply(l,X),Y)),Y)
% Current number of equations to process: 4365
% Current number of ordered equations: 1
% Current number of rules: 418
% New rule produced :
% [451]
% apply(apply(w,apply(apply(l,X),Y)),Y) <->
% apply(apply(apply(X,apply(Y,Y)),Y),Y)
% Current number of equations to process: 4365
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [452]
% apply(apply(w,apply(X,X)),apply(Y,Y)) <->
% apply(apply(l,apply(apply(l,w),X)),Y)
% Current number of equations to process: 4550
% Current number of ordered equations: 1
% Current number of rules: 420
% New rule produced :
% [453]
% apply(apply(l,apply(apply(l,w),X)),Y) <->
% apply(apply(w,apply(X,X)),apply(Y,Y))
% Current number of equations to process: 4550
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [454]
% apply(apply(apply(apply(X,X),Y),Y),Y) <->
% apply(apply(w,apply(apply(l,w),X)),Y)
% Current number of equations to process: 4703
% Current number of ordered equations: 1
% Current number of rules: 422
% New rule produced :
% [455]
% apply(apply(w,apply(apply(l,w),X)),Y) <->
% apply(apply(apply(apply(X,X),Y),Y),Y)
% Current number of equations to process: 4703
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [456]
% apply(apply(w,apply(apply(w,X),Y)),Y) ->
% apply(apply(w,apply(w,apply(X,Y))),Y)
% Rule
% [187] apply(apply(w,apply(apply(w,q),X)),X) -> apply(apply(w,apply(l,X)),X)
% collapsed.
% Current number of equations to process: 4814
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [457] apply(apply(w,apply(w,apply(w,l))),l) -> apply(apply(w,w),apply(l,l))
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [458]
% apply(apply(apply(apply(X,Y),Y),Y),Y) <->
% apply(apply(w,apply(w,apply(w,X))),Y)
% Current number of equations to process: 4915
% Current number of ordered equations: 1
% Current number of rules: 425
% New rule produced :
% [459]
% apply(apply(w,apply(w,apply(w,X))),Y) <->
% apply(apply(apply(apply(X,Y),Y),Y),Y)
% Current number of equations to process: 4915
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [460]
% apply(apply(apply(X,apply(X,X)),X),X) <->
% apply(apply(w,apply(w,apply(w,l))),X)
% Current number of equations to process: 2954
% Current number of ordered equations: 1
% Current number of rules: 427
% New rule produced :
% [461]
% apply(apply(w,apply(w,apply(w,l))),X) <->
% apply(apply(apply(X,apply(X,X)),X),X)
% Current number of equations to process: 2954
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [462] apply(apply(w,apply(w,apply(w,l))),q) -> apply(q,apply(apply(q,q),q))
% Current number of equations to process: 2974
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [463]
% apply(apply(apply(apply(X,X),X),X),X) <->
% apply(apply(w,apply(w,apply(w,w))),X)
% Current number of equations to process: 3051
% Current number of ordered equations: 1
% Current number of rules: 430
% New rule produced :
% [464]
% apply(apply(w,apply(w,apply(w,w))),X) <->
% apply(apply(apply(apply(X,X),X),X),X)
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [465]
% apply(apply(apply(X,X),apply(X,X)),X) <->
% apply(apply(w,apply(w,apply(l,l))),X)
% Current number of equations to process: 3134
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [466]
% apply(apply(w,apply(w,apply(l,l))),X) <->
% apply(apply(apply(X,X),apply(X,X)),X)
% Current number of equations to process: 3134
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [467] apply(apply(w,apply(w,apply(l,l))),q) -> apply(apply(q,q),apply(q,q))
% Current number of equations to process: 3148
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [468]
% apply(apply(w,apply(apply(X,Y),Y)),Y) <->
% apply(apply(w,apply(w,apply(w,X))),Y)
% Current number of equations to process: 3225
% Current number of ordered equations: 1
% Current number of rules: 435
% New rule produced :
% [469]
% apply(apply(w,apply(w,apply(w,X))),Y) <->
% apply(apply(w,apply(apply(X,Y),Y)),Y)
% Current number of equations to process: 3225
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [470]
% apply(apply(apply(apply(l,w),X),Y),Y) <->
% apply(apply(w,apply(w,apply(X,X))),Y)
% Current number of equations to process: 3428
% Current number of ordered equations: 1
% Current number of rules: 437
% New rule produced :
% [471]
% apply(apply(w,apply(w,apply(X,X))),Y) <->
% apply(apply(apply(apply(l,w),X),Y),Y)
% Current number of equations to process: 3428
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [472]
% apply(apply(apply(apply(X,X),X),X),X) <->
% apply(apply(w,apply(w,apply(l,w))),X)
% Current number of equations to process: 3541
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced :
% [473]
% apply(apply(w,apply(w,apply(l,w))),X) <->
% apply(apply(apply(apply(X,X),X),X),X)
% Current number of equations to process: 3541
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [474]
% apply(apply(w,apply(w,apply(w,w))),X) <->
% apply(apply(w,apply(w,apply(X,X))),X)
% Rule
% [196] apply(apply(w,apply(w,apply(w,w))),q) -> apply(apply(q,apply(q,q)),q)
% collapsed.
% Current number of equations to process: 3624
% Current number of ordered equations: 1
% Current number of rules: 440
% New rule produced :
% [475]
% apply(apply(w,apply(w,apply(X,X))),X) <->
% apply(apply(w,apply(w,apply(w,w))),X)
% Rule
% [445] apply(apply(w,apply(w,apply(l,l))),l) -> apply(apply(w,w),apply(l,l))
% collapsed.
% Current number of equations to process: 3625
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [476] apply(apply(w,apply(w,apply(w,w))),l) -> apply(apply(w,w),apply(l,l))
% Current number of equations to process: 3624
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [477]
% apply(apply(w,apply(w,apply(X,X))),X) <->
% apply(apply(w,apply(w,apply(w,X))),X)
% Current number of equations to process: 3709
% Current number of ordered equations: 1
% Current number of rules: 442
% New rule produced :
% [478]
% apply(apply(w,apply(w,apply(w,X))),X) <->
% apply(apply(w,apply(w,apply(X,X))),X)
% Current number of equations to process: 3709
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [479]
% apply(apply(w,apply(X,apply(Y,Y))),Y) <->
% apply(apply(w,apply(w,apply(l,X))),Y)
% Current number of equations to process: 3775
% Current number of ordered equations: 1
% Current number of rules: 444
% New rule produced :
% [480]
% apply(apply(w,apply(w,apply(l,X))),Y) <->
% apply(apply(w,apply(X,apply(Y,Y))),Y)
% Rule
% [449] apply(apply(w,apply(w,apply(l,w))),q) -> apply(apply(q,apply(q,q)),q)
% collapsed.
% Current number of equations to process: 3775
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [481]
% apply(apply(w,apply(w,apply(w,l))),X) <->
% apply(apply(w,apply(X,apply(X,X))),X)
% Rule
% [462] apply(apply(w,apply(w,apply(w,l))),q) -> apply(q,apply(apply(q,q),q))
% collapsed.
% Current number of equations to process: 3982
% Current number of ordered equations: 1
% Current number of rules: 444
% New rule produced :
% [482]
% apply(apply(w,apply(X,apply(X,X))),X) <->
% apply(apply(w,apply(w,apply(w,l))),X)
% Current number of equations to process: 3982
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [483]
% apply(apply(w,apply(apply(X,X),X)),X) <->
% apply(apply(w,apply(w,apply(w,w))),X)
% Current number of equations to process: 4051
% Current number of ordered equations: 1
% Current number of rules: 446
% New rule produced :
% [484]
% apply(apply(w,apply(w,apply(w,w))),X) <->
% apply(apply(w,apply(apply(X,X),X)),X)
% Current number of equations to process: 4051
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [485]
% apply(apply(w,apply(apply(X,X),Y)),Y) <->
% apply(apply(w,apply(apply(l,w),X)),Y)
% Rule
% [443]
% apply(apply(w,apply(apply(X,X),X)),X) <->
% apply(apply(w,apply(apply(l,w),X)),X) collapsed.
% Current number of equations to process: 4132
% Current number of ordered equations: 1
% Current number of rules: 447
% New rule produced :
% [486]
% apply(apply(w,apply(apply(l,w),X)),Y) <->
% apply(apply(w,apply(apply(X,X),Y)),Y)
% Rule
% [444]
% apply(apply(w,apply(apply(l,w),X)),X) <->
% apply(apply(w,apply(apply(X,X),X)),X) collapsed.
% Current number of equations to process: 4132
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [487]
% apply(apply(w,apply(apply(l,w),X)),X) ->
% apply(apply(w,apply(w,apply(w,X))),X)
% Current number of equations to process: 4290
% Current number of ordered equations: 2
% Current number of rules: 448
% New rule produced :
% [488]
% apply(apply(w,apply(w,w)),apply(X,X)) <->
% apply(apply(l,apply(w,apply(l,w))),X)
% Current number of equations to process: 4318
% Current number of ordered equations: 2
% Current number of rules: 449
% New rule produced :
% [489]
% apply(apply(l,apply(w,apply(l,w))),X) <->
% apply(apply(w,apply(w,w)),apply(X,X))
% Current number of equations to process: 4318
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [490]
% apply(apply(w,apply(w,apply(l,w))),X) <->
% apply(apply(w,apply(w,apply(w,X))),X)
% Rule
% [448] apply(apply(w,apply(w,apply(l,w))),l) -> apply(apply(w,w),apply(l,l))
% collapsed.
% Current number of equations to process: 4440
% Current number of ordered equations: 1
% Current number of rules: 450
% New rule produced :
% [491]
% apply(apply(w,apply(w,apply(w,X))),X) <->
% apply(apply(w,apply(w,apply(l,w))),X)
% Current number of equations to process: 4440
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [492]
% apply(apply(apply(l,l),X),apply(Y,Y)) <->
% apply(apply(l,apply(l,apply(X,X))),Y)
% Current number of equations to process: 4505
% Current number of ordered equations: 1
% Current number of rules: 452
% New rule produced :
% [493]
% apply(apply(l,apply(l,apply(X,X))),Y) <->
% apply(apply(apply(l,l),X),apply(Y,Y))
% Current number of equations to process: 4505
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [494]
% apply(apply(l,apply(w,X)),apply(l,X)) <->
% apply(apply(w,apply(l,l)),apply(l,X))
% Rule
% [205] apply(apply(l,apply(w,l)),apply(l,l)) -> apply(apply(w,w),apply(l,l))
% collapsed.
% Current number of equations to process: 4646
% Current number of ordered equations: 1
% Current number of rules: 453
% New rule produced :
% [495]
% apply(apply(w,apply(l,l)),apply(l,X)) <->
% apply(apply(l,apply(w,X)),apply(l,X))
% Current number of equations to process: 4646
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [496]
% apply(apply(apply(l,w),X),apply(Y,Y)) <->
% apply(apply(l,apply(w,apply(X,X))),Y)
% Current number of equations to process: 4713
% Current number of ordered equations: 1
% Current number of rules: 455
% New rule produced :
% [497]
% apply(apply(l,apply(w,apply(X,X))),Y) <->
% apply(apply(apply(l,w),X),apply(Y,Y))
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [498]
% apply(apply(apply(apply(l,q),X),Y),Y) <->
% apply(apply(w,apply(q,apply(X,X))),Y)
% Current number of equations to process: 4850
% Current number of ordered equations: 1
% Current number of rules: 457
% New rule produced :
% [499]
% apply(apply(w,apply(q,apply(X,X))),Y) <->
% apply(apply(apply(apply(l,q),X),Y),Y)
% Current number of equations to process: 4850
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [500]
% apply(apply(q,X),apply(X,apply(X,Y))) <->
% apply(apply(apply(w,l),apply(q,X)),Y)
% Current number of equations to process: 4958
% Current number of ordered equations: 1
% Current number of rules: 459
% New rule produced :
% [501]
% apply(apply(apply(w,l),apply(q,X)),Y) <->
% apply(apply(q,X),apply(X,apply(X,Y)))
% Current number of equations to process: 4958
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [502] apply(apply(w,apply(l,apply(w,l))),q) -> apply(apply(w,w),apply(q,q))
% Current number of equations to process: 1307
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [503]
% apply(apply(apply(apply(w,q),X),Y),Y) <->
% apply(apply(w,apply(apply(q,X),X)),Y)
% Current number of equations to process: 1368
% Current number of ordered equations: 1
% Current number of rules: 462
% New rule produced :
% [504]
% apply(apply(w,apply(apply(q,X),X)),Y) <->
% apply(apply(apply(apply(w,q),X),Y),Y)
% Current number of equations to process: 1368
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [505]
% apply(apply(w,apply(apply(q,l),l)),X) <->
% apply(X,apply(apply(X,X),apply(X,X)))
% Current number of equations to process: 1509
% Current number of ordered equations: 1
% Current number of rules: 464
% New rule produced :
% [506]
% apply(X,apply(apply(X,X),apply(X,X))) <->
% apply(apply(w,apply(apply(q,l),l)),X)
% Current number of equations to process: 1509
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [507]
% apply(apply(w,apply(apply(q,w),l)),X) <->
% apply(apply(X,apply(X,X)),apply(X,X))
% Current number of equations to process: 1599
% Current number of ordered equations: 1
% Current number of rules: 466
% New rule produced :
% [508]
% apply(apply(X,apply(X,X)),apply(X,X)) <->
% apply(apply(w,apply(apply(q,w),l)),X)
% Current number of equations to process: 1599
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [509]
% apply(apply(w,l),apply(apply(q,q),w)) ->
% apply(apply(w,w),apply(apply(q,q),w))
% Current number of equations to process: 1686
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [510]
% apply(apply(apply(w,w),apply(q,X)),Y) <->
% apply(apply(X,apply(q,X)),apply(X,Y))
% Current number of equations to process: 1700
% Current number of ordered equations: 1
% Current number of rules: 469
% New rule produced :
% [511]
% apply(apply(X,apply(q,X)),apply(X,Y)) <->
% apply(apply(apply(w,w),apply(q,X)),Y)
% Current number of equations to process: 1700
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [512] apply(apply(w,apply(l,apply(w,w))),q) -> apply(apply(w,q),apply(q,q))
% Current number of equations to process: 1722
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [513]
% apply(apply(w,apply(w,l)),apply(w,q)) ->
% apply(apply(w,apply(w,w)),apply(w,q))
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [514]
% apply(apply(l,apply(w,w)),apply(l,l)) ->
% apply(apply(w,apply(w,l)),apply(l,l))
% Current number of equations to process: 1999
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [515]
% apply(apply(apply(apply(l,X),X),X),X) ->
% apply(apply(w,apply(X,apply(X,X))),X)
% Current number of equations to process: 2017
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [516]
% (eq)(apply(apply(apply(apply(l,w),apply(q,X)),Y),f(apply(apply(X,Y),apply(X,Y)))),
% apply(apply(w,apply(apply(l,q),apply(X,Y))),f(apply(apply(X,Y),apply(X,Y)))))
% -> (false)
% Current number of equations to process: 2032
% Current number of ordered equations: 1
% Current number of rules: 475
% New rule produced :
% [517]
% (eq)(apply(apply(apply(X,Y),apply(X,Y)),f(apply(apply(apply(l,w),apply(q,X)),Y))),
% apply(apply(w,apply(apply(l,q),apply(X,Y))),f(apply(apply(X,Y),apply(X,Y)))))
% -> (false)
% Current number of equations to process: 2032
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [518]
% apply(apply(l,apply(l,X)),apply(l,l)) ->
% apply(X,apply(apply(w,w),apply(l,l)))
% Current number of equations to process: 3382
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [519]
% apply(apply(apply(l,l),apply(q,X)),X) ->
% apply(apply(q,X),apply(apply(w,l),X))
% Current number of equations to process: 3405
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [520]
% apply(apply(q,X),apply(apply(l,X),Y)) <->
% apply(apply(apply(l,l),apply(q,X)),Y)
% Current number of equations to process: 3452
% Current number of ordered equations: 1
% Current number of rules: 479
% New rule produced :
% [521]
% apply(apply(apply(l,l),apply(q,X)),Y) <->
% apply(apply(q,X),apply(apply(l,X),Y))
% Current number of equations to process: 3452
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [522]
% apply(apply(apply(w,l),apply(q,X)),X) ->
% apply(apply(q,X),apply(apply(w,l),X))
% Current number of equations to process: 3616
% Current number of ordered equations: 0
% Current number of rules: 481
% Rule [245]
% apply(X,apply(apply(w,w),X)) <-> apply(apply(w,apply(w,apply(l,q))),X) is composed into 
% [245] apply(X,apply(apply(w,w),X)) <-> apply(apply(w,apply(q,apply(w,w))),X)
% Rule [243]
% apply(X,apply(apply(w,X),X)) <-> apply(apply(w,apply(w,apply(l,q))),X) is composed into 
% [243] apply(X,apply(apply(w,X),X)) <-> apply(apply(w,apply(q,apply(w,w))),X)
% Rule [212]
% apply(X,apply(apply(X,X),X)) <-> apply(apply(w,apply(w,apply(l,q))),X) is composed into 
% [212] apply(X,apply(apply(X,X),X)) <-> apply(apply(w,apply(q,apply(w,w))),X)
% New rule produced :
% [523]
% apply(apply(w,apply(w,apply(l,q))),X) ->
% apply(apply(w,apply(q,apply(w,w))),X)
% Rule
% [213] apply(apply(w,apply(w,apply(l,q))),X) <-> apply(X,apply(apply(X,X),X))
% collapsed.
% Rule
% [244] apply(apply(w,apply(w,apply(l,q))),X) <-> apply(X,apply(apply(w,X),X))
% collapsed.
% Rule
% [246] apply(apply(w,apply(w,apply(l,q))),X) <-> apply(X,apply(apply(w,w),X))
% collapsed.
% Current number of equations to process: 3663
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [524]
% (eq)(apply(apply(q,X),apply(X,f(apply(apply(q,X),apply(q,X))))),apply(
% apply(w,
% apply(
% apply(l,q),
% apply(q,X))),
% f(apply(
% apply(
% apply(l,w),
% apply(q,q)),X))))
% -> (false)
% Current number of equations to process: 3711
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [525]
% apply(apply(apply(apply(l,X),Y),Y),Y) ->
% apply(apply(w,apply(X,apply(Y,Y))),Y)
% Rule
% [515]
% apply(apply(apply(apply(l,X),X),X),X) ->
% apply(apply(w,apply(X,apply(X,X))),X) collapsed.
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [526]
% apply(apply(w,apply(l,apply(w,l))),l) ->
% apply(apply(w,apply(w,w)),apply(l,l))
% Current number of equations to process: 3795
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [527]
% (eq)(apply(apply(apply(l,apply(q,f(apply(apply(l,l),X)))),X),f(apply(l,
% apply(X,X)))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 3803
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [528]
% (eq)(apply(apply(apply(l,apply(q,f(apply(l,apply(X,X))))),X),f(apply(
% apply(l,l),X))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 3839
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [529]
% (eq)(apply(apply(apply(l,apply(q,f(apply(apply(l,l),X)))),X),f(apply(l,
% apply(X,X)))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 3874
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [530]
% (eq)(apply(apply(apply(l,apply(q,f(apply(l,apply(X,X))))),X),f(apply(
% apply(l,l),X))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 3893
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [531]
% (eq)(apply(apply(apply(l,apply(q,f(apply(apply(l,l),X)))),X),f(apply(l,
% apply(X,X)))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 3914
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [532]
% (eq)(apply(apply(apply(l,apply(q,f(apply(apply(l,l),X)))),X),f(apply(l,
% apply(X,X)))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 3940
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [533]
% (eq)(apply(apply(apply(l,apply(q,f(apply(l,apply(X,X))))),X),f(apply(
% apply(l,l),X))),
% apply(f(apply(apply(l,l),X)),apply(apply(apply(l,l),X),f(apply(l,apply(X,X))))))
% -> (false)
% Current number of equations to process: 3963
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [534]
% (eq)(apply(apply(apply(l,apply(q,f(apply(l,apply(X,X))))),X),f(apply(
% apply(l,l),X))),
% apply(f(apply(l,apply(X,X))),apply(apply(apply(l,l),X),f(apply(apply(l,l),X)))))
% -> (false)
% Current number of equations to process: 3985
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [535]
% apply(apply(X,X),apply(apply(w,X),X)) <->
% apply(apply(apply(l,apply(w,q)),X),X)
% Current number of equations to process: 4000
% Current number of ordered equations: 1
% Current number of rules: 490
% New rule produced :
% [536]
% apply(apply(apply(l,apply(w,q)),X),X) <->
% apply(apply(X,X),apply(apply(w,X),X))
% Current number of equations to process: 4000
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [537]
% apply(apply(X,X),apply(apply(w,X),X)) <->
% apply(apply(w,apply(l,apply(w,q))),X)
% Current number of equations to process: 4103
% Current number of ordered equations: 1
% Current number of rules: 492
% New rule produced :
% [538]
% apply(apply(w,apply(l,apply(w,q))),X) <->
% apply(apply(X,X),apply(apply(w,X),X))
% Current number of equations to process: 4103
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [539]
% apply(apply(X,X),apply(apply(w,w),X)) <->
% apply(apply(apply(l,apply(w,q)),X),X)
% Current number of equations to process: 4214
% Current number of ordered equations: 1
% Current number of rules: 494
% New rule produced :
% [540]
% apply(apply(apply(l,apply(w,q)),X),X) <->
% apply(apply(X,X),apply(apply(w,w),X))
% Current number of equations to process: 4214
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [541]
% apply(apply(X,X),apply(apply(w,w),X)) <->
% apply(apply(w,apply(l,apply(w,q))),X)
% Current number of equations to process: 4368
% Current number of ordered equations: 1
% Current number of rules: 496
% New rule produced :
% [542]
% apply(apply(w,apply(l,apply(w,q))),X) <->
% apply(apply(X,X),apply(apply(w,w),X))
% Current number of equations to process: 4368
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [543]
% apply(apply(Y,Y),apply(apply(l,X),Y)) <->
% apply(apply(l,apply(w,apply(q,X))),Y)
% Current number of equations to process: 4517
% Current number of ordered equations: 1
% Current number of rules: 498
% New rule produced :
% [544]
% apply(apply(l,apply(w,apply(q,X))),Y) <->
% apply(apply(Y,Y),apply(apply(l,X),Y))
% Current number of equations to process: 4517
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [545]
% apply(apply(X,X),apply(apply(w,l),X)) <->
% apply(apply(l,apply(w,apply(q,X))),X)
% Current number of equations to process: 4731
% Current number of ordered equations: 1
% Current number of rules: 500
% New rule produced :
% [546]
% apply(apply(l,apply(w,apply(q,X))),X) <->
% apply(apply(X,X),apply(apply(w,l),X))
% Current number of equations to process: 4731
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [547]
% apply(apply(apply(l,apply(X,X)),Y),Y) <->
% apply(apply(w,apply(apply(l,l),X)),Y)
% Current number of equations to process: 4861
% Current number of ordered equations: 1
% Current number of rules: 502
% New rule produced :
% [548]
% apply(apply(w,apply(apply(l,l),X)),Y) <->
% apply(apply(apply(l,apply(X,X)),Y),Y)
% Current number of equations to process: 4861
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [549]
% apply(apply(w,apply(apply(X,X),X)),X) <->
% apply(apply(w,apply(w,apply(l,w))),X)
% Current number of equations to process: 4978
% Current number of ordered equations: 1
% Current number of rules: 504
% New rule produced :
% [550]
% apply(apply(w,apply(w,apply(l,w))),X) <->
% apply(apply(w,apply(apply(X,X),X)),X)
% Current number of equations to process: 4978
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [551]
% apply(apply(w,apply(l,apply(l,w))),l) ->
% apply(apply(w,apply(l,apply(w,w))),l)
% Current number of equations to process: 1952
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [552]
% apply(apply(w,apply(w,apply(X,Y))),Y) <->
% apply(apply(w,apply(w,apply(w,X))),Y)
% Rule
% [457] apply(apply(w,apply(w,apply(w,l))),l) -> apply(apply(w,w),apply(l,l))
% collapsed.
% Rule
% [477]
% apply(apply(w,apply(w,apply(X,X))),X) <->
% apply(apply(w,apply(w,apply(w,X))),X) collapsed.
% Current number of equations to process: 1917
% Current number of ordered equations: 1
% Current number of rules: 505
% New rule produced :
% [553]
% apply(apply(w,apply(w,apply(w,X))),Y) <->
% apply(apply(w,apply(w,apply(X,Y))),Y)
% Rule
% [478]
% apply(apply(w,apply(w,apply(w,X))),X) <->
% apply(apply(w,apply(w,apply(X,X))),X) collapsed.
% Current number of equations to process: 1917
% Current number of ordered equations: 0
% Current number of rules: 505
% Rule [549]
% apply(apply(w,apply(apply(X,X),X)),X) <->
% apply(apply(w,apply(w,apply(l,w))),X) is composed into [549]
% apply(apply(w,
% apply(
% apply(X,X),X)),X)
% <->
% apply(apply(w,
% apply(w,
% apply(w,w))),X)
% Rule [491]
% apply(apply(w,apply(w,apply(w,X))),X) <->
% apply(apply(w,apply(w,apply(l,w))),X) is composed into [491]
% apply(apply(w,
% apply(w,
% apply(w,X))),X)
% <->
% apply(apply(w,
% apply(w,
% apply(w,w))),X)
% Rule [472]
% apply(apply(apply(apply(X,X),X),X),X) <->
% apply(apply(w,apply(w,apply(l,w))),X) is composed into [472]
% apply(apply(
% apply(
% apply(X,X),X),X),X)
% <->
% apply(apply(w,
% apply(w,
% apply(w,w))),X)
% New rule produced :
% [554]
% apply(apply(w,apply(w,apply(l,w))),X) ->
% apply(apply(w,apply(w,apply(w,w))),X)
% Rule
% [473]
% apply(apply(w,apply(w,apply(l,w))),X) <->
% apply(apply(apply(apply(X,X),X),X),X) collapsed.
% Rule
% [490]
% apply(apply(w,apply(w,apply(l,w))),X) <->
% apply(apply(w,apply(w,apply(w,X))),X) collapsed.
% Rule
% [550]
% apply(apply(w,apply(w,apply(l,w))),X) <->
% apply(apply(w,apply(apply(X,X),X)),X) collapsed.
% Current number of equations to process: 2191
% Current number of ordered equations: 0
% Current number of rules: 503
% Rule [488]
% apply(apply(w,apply(w,w)),apply(X,X)) <->
% apply(apply(l,apply(w,apply(l,w))),X) is composed into [488]
% apply(apply(w,
% apply(w,w)),
% apply(X,X)) <->
% apply(apply(l,
% apply(w,
% apply(w,w))),X)
% New rule produced :
% [555]
% apply(apply(l,apply(w,apply(l,w))),X) ->
% apply(apply(l,apply(w,apply(w,w))),X)
% Rule
% [489]
% apply(apply(l,apply(w,apply(l,w))),X) <->
% apply(apply(w,apply(w,w)),apply(X,X)) collapsed.
% Current number of equations to process: 2212
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [556]
% apply(apply(apply(w,w),apply(q,X)),X) <->
% apply(apply(l,apply(X,apply(q,X))),X)
% Current number of equations to process: 2259
% Current number of ordered equations: 1
% Current number of rules: 504
% New rule produced :
% [557]
% apply(apply(l,apply(X,apply(q,X))),X) <->
% apply(apply(apply(w,w),apply(q,X)),X)
% Current number of equations to process: 2259
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [558]
% (eq)(apply(apply(apply(X,Y),apply(X,Y)),f(apply(apply(X,Y),apply(X,Y)))),
% apply(apply(w,apply(apply(l,q),apply(X,Y))),f(apply(apply(apply(l,w),
% apply(q,X)),Y)))) ->
% (false)
% Current number of equations to process: 2369
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [559]
% (eq)(apply(apply(apply(l,w),apply(q,X)),f(apply(apply(l,w),apply(q,X)))),
% apply(apply(l,f(apply(apply(l,w),apply(q,X)))),apply(X,f(apply(apply(l,w),
% apply(q,X)))))) ->
% (false)
% Current number of equations to process: 3079
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [560]
% (eq)(apply(apply(q,X),apply(X,f(apply(apply(apply(l,w),apply(q,q)),X)))),
% apply(apply(w,apply(apply(l,q),apply(q,X))),f(apply(apply(apply(l,w),
% apply(q,q)),X)))) ->
% (false)
% Current number of equations to process: 3162
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [561]
% apply(apply(X,X),apply(apply(X,X),apply(X,X))) <->
% apply(apply(l,apply(w,l)),X)
% Current number of equations to process: 3242
% Current number of ordered equations: 1
% Current number of rules: 509
% New rule produced :
% [562]
% apply(apply(l,apply(w,l)),X) <->
% apply(apply(X,X),apply(apply(X,X),apply(X,X)))
% Current number of equations to process: 3242
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [563]
% apply(apply(apply(apply(w,q),X),Y),apply(X,Y)) ->
% apply(apply(w,X),apply(X,Y))
% Current number of equations to process: 3362
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [564]
% apply(Y,apply(X,apply(X,Z))) <->
% apply(apply(apply(apply(w,q),apply(q,X)),Y),Z)
% Current number of equations to process: 3638
% Current number of ordered equations: 1
% Current number of rules: 512
% New rule produced :
% [565]
% apply(apply(apply(apply(w,q),apply(q,X)),Y),Z) <->
% apply(Y,apply(X,apply(X,Z)))
% Current number of equations to process: 3638
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [566]
% (eq)(apply(X,apply(X,f(apply(apply(q,X),X)))),apply(apply(w,apply(apply(w,q),
% apply(q,X))),
% f(apply(apply(q,X),X)))) ->
% (false)
% Current number of equations to process: 3780
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [567]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(apply(w,apply(apply(w,q),
% apply(q,X))),
% f(apply(apply(q,X),X)))) ->
% (false)
% Current number of equations to process: 3793
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [568]
% (eq)(apply(X,apply(X,f(apply(apply(q,X),X)))),apply(apply(w,apply(apply(w,q),
% apply(q,X))),
% f(apply(apply(w,q),X)))) ->
% (false)
% Current number of equations to process: 3798
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [569]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(apply(w,apply(apply(w,q),
% apply(q,X))),
% f(apply(apply(w,q),X)))) ->
% (false)
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [570]
% (eq)(apply(X,apply(X,f(apply(apply(q,X),X)))),apply(apply(apply(apply(w,q),
% apply(q,X)),
% f(apply(apply(w,q),X))),
% f(apply(apply(q,X),X)))) ->
% (false)
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [571]
% (eq)(apply(X,apply(X,f(apply(apply(q,X),X)))),apply(apply(apply(apply(w,q),
% apply(q,X)),
% f(apply(apply(q,X),X))),
% f(apply(apply(w,q),X)))) ->
% (false)
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [572]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(apply(apply(apply(w,q),
% apply(q,X)),
% f(apply(apply(q,X),X))),
% f(apply(apply(w,q),X)))) ->
% (false)
% Current number of equations to process: 3798
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [573]
% (eq)(apply(X,apply(X,f(apply(apply(w,q),X)))),apply(apply(apply(apply(w,q),
% apply(q,X)),
% f(apply(apply(w,q),X))),
% f(apply(apply(q,X),X)))) ->
% (false)
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [574]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(w,q),X))),apply(apply(w,
% apply(apply(w,q),
% apply(q,X))),
% f(apply(apply(w,q),X))))
% -> (false)
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [575]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(apply(w,
% apply(apply(w,q),
% apply(q,X))),
% f(apply(apply(q,X),X))))
% -> (false)
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [576]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(w,q),X))),apply(apply(w,
% apply(apply(w,q),
% apply(q,X))),
% f(apply(apply(q,X),X))))
% -> (false)
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [577]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(apply(w,
% apply(apply(w,q),
% apply(q,X))),
% f(apply(apply(w,q),X))))
% -> (false)
% Current number of equations to process: 3805
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [578]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(apply(apply(
% apply(w,q),
% apply(q,X)),
% f(apply(
% apply(w,q),X))),
% f(apply(apply(q,X),X))))
% -> (false)
% Current number of equations to process: 3808
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [579]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(q,X),X))),apply(apply(apply(
% apply(w,q),
% apply(q,X)),
% f(apply(
% apply(q,X),X))),
% f(apply(apply(w,q),X))))
% -> (false)
% Current number of equations to process: 3807
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [580]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(w,q),X))),apply(apply(apply(
% apply(w,q),
% apply(q,X)),
% f(apply(
% apply(q,X),X))),
% f(apply(apply(w,q),X))))
% -> (false)
% Current number of equations to process: 3806
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [581]
% (eq)(apply(apply(apply(w,q),X),f(apply(apply(w,q),X))),apply(apply(apply(
% apply(w,q),
% apply(q,X)),
% f(apply(
% apply(w,q),X))),
% f(apply(apply(q,X),X))))
% -> (false)
% Current number of equations to process: 3805
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [582]
% (eq)(apply(apply(X,X),apply(apply(X,X),f(apply(apply(w,q),apply(X,X))))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(w,q),
% apply(X,X))))) ->
% (false)
% Current number of equations to process: 4425
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [583]
% (eq)(apply(apply(X,X),apply(apply(X,X),f(apply(apply(l,apply(w,q)),X)))),
% apply(apply(w,apply(apply(w,q),apply(q,apply(X,X)))),f(apply(apply(w,q),
% apply(X,X))))) ->
% (false)
% Current number of equations to process: 4480
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [584]
% (eq)(apply(apply(X,X),apply(apply(X,X),f(apply(apply(w,q),apply(X,X))))),
% apply(apply(w,apply(apply(w,q),apply(q,apply(X,X)))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4478
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [585]
% (eq)(apply(apply(apply(l,apply(w,q)),X),f(apply(apply(w,q),apply(X,X)))),
% apply(apply(w,apply(apply(w,q),apply(q,apply(X,X)))),f(apply(apply(w,q),
% apply(X,X))))) ->
% (false)
% Current number of equations to process: 4473
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [586]
% (eq)(apply(apply(apply(w,q),apply(X,X)),f(apply(apply(l,apply(w,q)),X))),
% apply(apply(w,apply(apply(w,q),apply(q,apply(X,X)))),f(apply(apply(w,q),
% apply(X,X))))) ->
% (false)
% Current number of equations to process: 4467
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [587]
% (eq)(apply(apply(apply(w,q),apply(X,X)),f(apply(apply(w,q),apply(X,X)))),
% apply(apply(w,apply(apply(w,q),apply(q,apply(X,X)))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4464
% Current number of ordered equations: 1
% Current number of rules: 535
% New rule produced :
% [588]
% (eq)(apply(apply(apply(w,q),apply(X,X)),f(apply(apply(w,q),apply(X,X)))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(w,q),
% apply(X,X))))) ->
% (false)
% Current number of equations to process: 4463
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [589]
% (eq)(apply(apply(X,X),apply(apply(X,X),f(apply(apply(l,apply(w,q)),X)))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(w,q),
% apply(X,X))))) ->
% (false)
% Current number of equations to process: 4456
% Current number of ordered equations: 1
% Current number of rules: 537
% New rule produced :
% [590]
% (eq)(apply(apply(X,X),apply(apply(X,X),f(apply(apply(w,q),apply(X,X))))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4456
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [591]
% (eq)(apply(apply(apply(l,apply(w,q)),X),f(apply(apply(w,q),apply(X,X)))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(w,q),
% apply(X,X))))) ->
% (false)
% Current number of equations to process: 4454
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [592]
% (eq)(apply(apply(X,X),apply(apply(X,X),f(apply(apply(l,apply(w,q)),X)))),
% apply(apply(w,apply(apply(w,q),apply(q,apply(X,X)))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4498
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [593]
% (eq)(apply(apply(apply(l,apply(w,q)),X),f(apply(apply(l,apply(w,q)),X))),
% apply(apply(w,apply(apply(w,q),apply(q,apply(X,X)))),f(apply(apply(w,q),
% apply(X,X))))) ->
% (false)
% Current number of equations to process: 4497
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [594]
% (eq)(apply(apply(apply(l,apply(w,q)),X),f(apply(apply(w,q),apply(X,X)))),
% apply(apply(w,apply(apply(w,q),apply(q,apply(X,X)))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4538
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [595]
% (eq)(apply(apply(apply(w,q),apply(X,X)),f(apply(apply(l,apply(w,q)),X))),
% apply(apply(w,apply(apply(w,q),apply(q,apply(X,X)))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4593
% Current number of ordered equations: 1
% Current number of rules: 543
% New rule produced :
% [596]
% (eq)(apply(apply(apply(w,q),apply(X,X)),f(apply(apply(l,apply(w,q)),X))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(w,q),
% apply(X,X))))) ->
% (false)
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [597]
% (eq)(apply(apply(apply(w,q),apply(X,X)),f(apply(apply(w,q),apply(X,X)))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4611
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [598]
% (eq)(apply(apply(X,X),apply(apply(X,X),f(apply(apply(l,apply(w,q)),X)))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4679
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [599]
% (eq)(apply(apply(apply(l,apply(w,q)),X),f(apply(apply(l,apply(w,q)),X))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(w,q),
% apply(X,X))))) ->
% (false)
% Current number of equations to process: 4678
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [600]
% (eq)(apply(apply(apply(l,apply(w,q)),X),f(apply(apply(w,q),apply(X,X)))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4716
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [601]
% (eq)(apply(apply(apply(l,apply(w,q)),X),f(apply(apply(l,apply(w,q)),X))),
% apply(apply(w,apply(apply(w,q),apply(q,apply(X,X)))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4779
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [602]
% (eq)(apply(apply(apply(w,q),apply(X,X)),f(apply(apply(l,apply(w,q)),X))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4846
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [603]
% (eq)(apply(apply(apply(l,apply(w,q)),X),f(apply(apply(l,apply(w,q)),X))),
% apply(apply(w,apply(apply(w,q),apply(apply(l,q),X))),f(apply(apply(l,
% apply(w,q)),X))))
% -> (false)
% Current number of equations to process: 4936
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [604]
% apply(apply(apply(w,apply(q,X)),Y),apply(X,Y)) ->
% apply(apply(w,Y),apply(X,Y))
% Current number of equations to process: 1361
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [605]
% apply(X,apply(Y,apply(Z,X))) <->
% apply(apply(w,apply(q,apply(apply(q,Z),Y))),X)
% Current number of equations to process: 1633
% Current number of ordered equations: 1
% Current number of rules: 553
% New rule produced :
% [606]
% apply(apply(w,apply(q,apply(apply(q,Z),Y))),X) <->
% apply(X,apply(Y,apply(Z,X)))
% Current number of equations to process: 1633
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [607]
% apply(X,apply(Y,apply(Y,X))) <->
% apply(apply(w,apply(q,apply(apply(w,q),Y))),X)
% Current number of equations to process: 2312
% Current number of ordered equations: 1
% Current number of rules: 555
% New rule produced :
% [608]
% apply(apply(w,apply(q,apply(apply(w,q),Y))),X) <->
% apply(X,apply(Y,apply(Y,X)))
% Current number of equations to process: 2312
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [609]
% (eq)(apply(f(apply(w,apply(q,X))),apply(X,f(apply(w,apply(q,X))))),apply(
% f(
% apply(w,
% apply(q,X))),
% apply(
% f(
% apply(w,
% apply(q,X))),
% apply(X,
% f(
% apply(w,
% apply(q,X)))))))
% -> (false)
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [610]
% apply(X,apply(X,apply(Y,X))) <->
% apply(apply(w,apply(q,apply(w,apply(q,Y)))),X)
% Current number of equations to process: 2970
% Current number of ordered equations: 1
% Current number of rules: 558
% New rule produced :
% [611]
% apply(apply(w,apply(q,apply(w,apply(q,Y)))),X) <->
% apply(X,apply(X,apply(Y,X)))
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [612]
% apply(apply(w,apply(apply(l,q),X)),apply(X,X)) ->
% apply(apply(w,l),apply(X,X))
% Current number of equations to process: 3394
% Current number of ordered equations: 1
% Current number of rules: 560
% New rule produced :
% [613]
% apply(apply(l,apply(w,apply(q,apply(X,X)))),X) ->
% apply(apply(w,l),apply(X,X))
% Current number of equations to process: 3394
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [614]
% apply(apply(l,apply(w,l)),apply(l,q)) ->
% apply(apply(l,apply(w,w)),apply(l,q))
% Current number of equations to process: 3460
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [615]
% apply(X,apply(apply(l,X),X)) <->
% apply(apply(w,apply(q,apply(w,apply(q,X)))),X)
% Current number of equations to process: 3557
% Current number of ordered equations: 1
% Current number of rules: 563
% New rule produced :
% [616]
% apply(apply(w,apply(q,apply(w,apply(q,X)))),X) <->
% apply(X,apply(apply(l,X),X))
% Current number of equations to process: 3557
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [617]
% apply(X,apply(X,apply(X,X))) <->
% apply(apply(w,apply(q,apply(w,apply(w,q)))),X)
% Current number of equations to process: 3665
% Current number of ordered equations: 1
% Current number of rules: 565
% New rule produced :
% [618]
% apply(apply(w,apply(q,apply(w,apply(w,q)))),X) <->
% apply(X,apply(X,apply(X,X)))
% Current number of equations to process: 3665
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [619]
% apply(X,apply(apply(l,X),X)) <->
% apply(apply(w,apply(q,apply(w,apply(w,q)))),X)
% Current number of equations to process: 3816
% Current number of ordered equations: 1
% Current number of rules: 567
% New rule produced :
% [620]
% apply(apply(w,apply(q,apply(w,apply(w,q)))),X) <->
% apply(X,apply(apply(l,X),X))
% Current number of equations to process: 3816
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [621]
% apply(X,apply(apply(w,l),X)) <->
% apply(apply(w,apply(q,apply(w,apply(w,q)))),X)
% Current number of equations to process: 3918
% Current number of ordered equations: 1
% Current number of rules: 569
% New rule produced :
% [622]
% apply(apply(w,apply(q,apply(w,apply(w,q)))),X) <->
% apply(X,apply(apply(w,l),X))
% Current number of equations to process: 3918
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [623]
% apply(apply(apply(apply(l,l),X),X),apply(X,X)) ->
% apply(apply(w,w),apply(X,X))
% Current number of equations to process: 4138
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [624]
% apply(apply(w,apply(w,apply(w,w))),apply(l,w)) ->
% apply(apply(w,w),apply(l,w))
% Current number of equations to process: 4168
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [625]
% (eq)(apply(X,apply(apply(Y,Y),f(apply(apply(apply(l,q),Y),X)))),apply(
% f(apply(
% apply(q,
% apply(Y,Y)),X)),
% apply(X,
% apply(
% apply(Y,Y),
% f(apply(
% apply(q,
% apply(Y,Y)),X))))))
% -> (false)
% Current number of equations to process: 4174
% Current number of ordered equations: 5
% Current number of rules: 573
% New rule produced :
% [626]
% (eq)(apply(X,apply(apply(Y,Y),f(apply(apply(q,apply(Y,Y)),X)))),apply(
% f(apply(
% apply(
% apply(l,q),Y),X)),
% apply(X,
% apply(
% apply(Y,Y),
% f(apply(
% apply(q,
% apply(Y,Y)),X))))))
% -> (false)
% Current number of equations to process: 4174
% Current number of ordered equations: 4
% Current number of rules: 574
% New rule produced :
% [627]
% (eq)(apply(X,apply(apply(Y,Y),f(apply(apply(q,apply(Y,Y)),X)))),apply(
% f(apply(
% apply(q,
% apply(Y,Y)),X)),
% apply(X,
% apply(
% apply(Y,Y),
% f(apply(
% apply(
% apply(l,q),Y),X))))))
% -> (false)
% Current number of equations to process: 4174
% Current number of ordered equations: 3
% Current number of rules: 575
% New rule produced :
% [628]
% (eq)(apply(apply(X,X),apply(Y,f(apply(apply(l,apply(q,Y)),X)))),apply(
% f(apply(
% apply(q,Y),
% apply(X,X))),
% apply(
% apply(X,X),
% apply(Y,
% f(apply(
% apply(q,Y),
% apply(X,X)))))))
% -> (false)
% Current number of equations to process: 4174
% Current number of ordered equations: 2
% Current number of rules: 576
% New rule produced :
% [629]
% (eq)(apply(apply(X,X),apply(Y,f(apply(apply(q,Y),apply(X,X))))),apply(
% f(apply(
% apply(l,
% apply(q,Y)),X)),
% apply(
% apply(X,X),
% apply(Y,
% f(apply(
% apply(q,Y),
% apply(X,X)))))))
% -> (false)
% Current number of equations to process: 4174
% Current number of ordered equations: 1
% Current number of rules: 577
% New rule produced :
% [630]
% (eq)(apply(apply(X,X),apply(Y,f(apply(apply(q,Y),apply(X,X))))),apply(
% f(apply(
% apply(q,Y),
% apply(X,X))),
% apply(
% apply(X,X),
% apply(Y,
% f(apply(
% apply(l,
% apply(q,Y)),X))))))
% -> (false)
% Current number of equations to process: 4174
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [631]
% (eq)(apply(X,apply(apply(X,X),f(apply(apply(q,apply(X,X)),X)))),apply(
% f(apply(
% apply(w,
% apply(l,q)),X)),
% apply(X,
% apply(
% apply(X,X),
% f(apply(
% apply(q,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 2051
% Current number of ordered equations: 2
% Current number of rules: 579
% New rule produced :
% [632]
% (eq)(apply(X,apply(apply(X,X),f(apply(apply(q,apply(X,X)),X)))),apply(
% f(apply(
% apply(q,
% apply(X,X)),X)),
% apply(X,
% apply(
% apply(X,X),
% f(apply(
% apply(w,
% apply(l,q)),X))))))
% -> (false)
% Current number of equations to process: 2051
% Current number of ordered equations: 1
% Current number of rules: 580
% New rule produced :
% [633]
% (eq)(apply(X,apply(apply(X,X),f(apply(apply(w,apply(l,q)),X)))),apply(
% f(apply(
% apply(q,
% apply(X,X)),X)),
% apply(X,
% apply(
% apply(X,X),
% f(apply(
% apply(q,
% apply(X,X)),X))))))
% -> (false)
% Current number of equations to process: 2051
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [634]
% apply(apply(apply(w,apply(l,l)),X),apply(X,X)) ->
% apply(apply(w,w),apply(X,X))
% Current number of equations to process: 2161
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [635]
% apply(apply(w,apply(q,apply(l,apply(X,X)))),X) ->
% apply(apply(l,X),apply(X,X))
% Current number of equations to process: 2222
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [636]
% apply(apply(apply(apply(l,q),Y),X),apply(Y,Y)) ->
% apply(apply(l,X),apply(Y,Y))
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [637]
% apply(apply(apply(l,apply(q,X)),apply(X,Y)),Y) ->
% apply(apply(w,w),apply(X,Y))
% Current number of equations to process: 2367
% Current number of ordered equations: 0
% Current number of rules: 585
% New rule produced :
% [638]
% apply(apply(apply(w,apply(apply(q,X),q)),Y),Z) <->
% appCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------