TSTP Solution File: COL006-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : COL006-1 : TPTP v6.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n124.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 00:19:37 EDT 2014
% Result : Timeout 300.10s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : COL006-1 : TPTP v6.0.0. Released v1.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n124.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 16:39:08 CDT 2014
% % CPUTime : 300.10
% Processing problem /tmp/CiME_7521_n124.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " k,s : constant; f : 1; apply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z));
% apply(apply(k,X),Y) = X;
% ";
%
% let s1 = status F "
% f lr_lex;
% k lr_lex;
% apply lr_lex;
% s lr_lex;
% ";
%
% let p1 = precedence F "
% apply > f > s > k";
%
% let s2 = status F "
% f mul;
% k mul;
% apply mul;
% s mul;
% ";
%
% let p2 = precedence F "
% apply > f > s = k";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " apply(Y,f(Y)) = apply(f(Y),apply(Y,f(Y)));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { apply(apply(apply(s,X),Y),Z) =
% apply(apply(X,Z),apply(Y,Z)),
% apply(apply(k,X),Y) = X } (2 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
%
% [k] = 1;
% [s] = 2;
% [f](x1) = 3 + x1;
% [apply](x1,x2) = 1 + x1 + x2;
% Chosen ordering : RPO
% 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: 4
% 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: 3
% Current number of rules: 2
% New rule produced : [3] apply(apply(k,X),Y) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 3
% New rule produced :
% [4] apply(apply(X,Z),apply(Y,Z)) <-> apply(apply(apply(s,X),Y),Z)
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 4
% New rule produced :
% [5] apply(apply(apply(s,X),Y),Z) <-> apply(apply(X,Z),apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced : [6] (eq)(X,apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] apply(apply(apply(s,k),Y),X) -> X
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% (eq)(f(apply(apply(s,k),X)),apply(f(apply(apply(s,k),X)),f(apply(apply(s,k),X))))
% -> (false)
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] apply(apply(apply(apply(s,s),X),k),Y) -> Y
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% (eq)(f(apply(apply(apply(s,s),X),k)),apply(f(apply(apply(apply(s,s),X),k)),
% f(apply(apply(apply(s,s),X),k)))) ->
% (false)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] apply(apply(apply(s,apply(s,k)),X),Y) -> apply(X,Y)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12] apply(X,apply(Y,Z)) <-> apply(apply(apply(s,apply(k,X)),Y),Z)
% Current number of equations to process: 17
% Current number of ordered equations: 3
% Current number of rules: 12
% New rule produced :
% [13] apply(apply(apply(s,apply(k,X)),Y),Z) <-> apply(X,apply(Y,Z))
% Current number of equations to process: 17
% Current number of ordered equations: 2
% Current number of rules: 13
% New rule produced :
% [14] apply(apply(apply(s,X),apply(k,Z)),Y) <-> apply(apply(X,Y),Z)
% Current number of equations to process: 17
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [15] apply(apply(X,Y),Z) <-> apply(apply(apply(s,X),apply(k,Z)),Y)
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% (eq)(apply(X,f(X)),apply(apply(apply(s,apply(k,f(X))),X),f(X))) -> (false)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18]
% (eq)(apply(X,Y),apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,
% apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19]
% (eq)(f(apply(apply(apply(s,apply(s,s)),apply(k,k)),X)),apply(f(apply(
% apply(
% apply(s,s),X),k)),
% f(apply(apply(
% apply(s,s),X),k))))
% -> (false)
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% (eq)(apply(X,f(X)),apply(apply(apply(apply(apply(s,apply(k,s)),k),f(X)),X),
% f(X))) -> (false)
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),Y)),X)) -> (false)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Y)),X)),X))
% -> (false)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [23]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),Y),k)),X)),X))
% -> (false)
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24]
% (eq)(X,apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),
% apply(k,X)),Y)) -> (false)
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Y)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26]
% (eq)(apply(X,f(X)),apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,
% f(X))),
% apply(k,f(X))),X)) -> (false)
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27]
% (eq)(X,apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),
% apply(apply(s,k),Y)),X)) -> (false)
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [28]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,
% apply(s,k)),X)),Y)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [29]
% (eq)(apply(apply(apply(s,apply(k,X)),Y),Z),apply(f(apply(apply(apply(s,
% apply(k,k)),X),
% apply(Y,Z))),apply(X,
% apply(Y,Z))))
% -> (false)
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [30]
% (eq)(apply(apply(apply(s,X),apply(k,Y)),Z),apply(f(apply(apply(apply(s,
% apply(k,k)),
% apply(X,Z)),Y)),
% apply(apply(X,Z),Y))) -> (false)
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [31]
% (eq)(X,apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),
% apply(apply(apply(s,s),Y),k)),X)) -> (false)
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [32]
% (eq)(apply(k,k),apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),X)),
% apply(k,k))) -> (false)
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [33]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,k)),Y),
% apply(k,X))),X)) -> (false)
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [34]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(apply(s,s),Y),s),k)),X)),X))
% -> (false)
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [35]
% (eq)(apply(s,X),apply(f(apply(apply(apply(apply(apply(s,s),k),s),apply(k,k)),X)),
% apply(s,X))) -> (false)
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [36]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,apply(s,k)),
% apply(k,X))),Y)),X)) ->
% (false)
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [37]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(k,Y)),Z),apply(f(apply(apply(
% apply(s,
% apply(k,k)),X),Y)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [38]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,k),Y)),Z),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),X),Z)),
% apply(X,Z))) ->
% (false)
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [39]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(s,s),Y),k)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [40]
% (eq)(apply(X,f(X)),apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),
% apply(k,X)),f(X)),f(X))) -> (false)
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [41]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,apply(s,s)),
% apply(k,k)),Y)),X)),X))
% -> (false)
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [42]
% (eq)(X,apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),
% apply(s,k)),f(apply(k,X))),X)) -> (false)
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [43]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,apply(s,k)),
% apply(apply(s,k),Y))),X)),X))
% -> (false)
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [44]
% (eq)(apply(apply(apply(s,X),apply(k,Y)),Z),apply(f(apply(k,apply(apply(X,Z),Y))),
% apply(apply(X,Z),Y))) -> (false)
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [45]
% (eq)(apply(apply(apply(apply(s,s),k),X),Y),apply(f(apply(apply(apply(s,
% apply(k,k)),
% apply(X,Y)),X)),
% apply(apply(X,Y),X))) -> (false)
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [46]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(k,Y)),Z),apply(f(apply(k,apply(X,Y))),
% apply(X,Y))) -> (false)
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [47]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,X)),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),X),Y)),
% apply(X,Y))) ->
% (false)
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [48]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,k),Y)),Z),apply(f(
% apply(k,
% apply(X,Z))),
% apply(X,Z))) ->
% (false)
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [49]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(k,Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [50]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(k,Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),X)),apply(Y,X))) -> (false)
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [51]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(s,s),Y),k)),Z),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [52]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(apply(
% apply(s,s),Y),s),s),k)),X)),X))
% -> (false)
% Current number of equations to process: 407
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [53]
% (eq)(apply(apply(apply(apply(s,s),k),X),Y),apply(f(apply(k,apply(apply(X,Y),X))),
% apply(apply(X,Y),X))) -> (false)
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [54]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),X),apply(k,Y)),k),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [55]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,Y)),apply(k,Z)),apply(f(
% apply(k,
% apply(
% apply(X,Y),Z))),
% apply(apply(X,Y),Z)))
% -> (false)
% Current number of equations to process: 470
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [56]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),Y),Z),apply(f(
% apply(k,
% apply(
% apply(Y,Z),X))),
% apply(apply(Y,Z),X)))
% -> (false)
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [57]
% (eq)(apply(apply(X,Y),apply(Z,Y)),apply(f(apply(k,apply(apply(apply(s,X),Z),Y))),
% apply(apply(X,Y),apply(Z,Y)))) -> (false)
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [58]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(k,Y)),Z),
% apply(f(apply(k,apply(Z,Y))),apply(Z,Y))) -> (false)
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [59]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(k,X)),Y),
% apply(f(apply(k,apply(Y,X))),apply(Y,X))) -> (false)
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [60]
% (eq)(apply(apply(apply(s,X),apply(k,Y)),Z),apply(f(apply(k,apply(apply(X,Z),Y))),
% apply(apply(apply(s,X),apply(k,Y)),Z)))
% -> (false)
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [61]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),apply(k,Y)),Z),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [62]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(k,Y)),Z),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [63]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(k,Y)),Z),
% apply(f(apply(k,apply(Y,X))),apply(Y,X))) -> (false)
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [64]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,X)),Y),apply(f(
% apply(k,
% apply(X,Y))),
% apply(X,Y))) ->
% (false)
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [65]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,X)),Y),apply(k,Z)),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [66]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,apply(k,X))),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),Y)),X)) -> (false)
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [67]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),apply(
% apply(s,k),Y)),Z),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [68]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(apply(s,k),Y)),Z),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [69]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(apply(s,s),Y),s),k)),Z),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 622
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [70]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,s)),k),X),k),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [71]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(k,X)),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 680
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [72]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,s),Y)),k),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 708
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [73]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,k),Y)),Z),
% apply(f(apply(k,apply(Z,X))),apply(Z,X))) -> (false)
% Current number of equations to process: 709
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [74]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,apply(s,k))),Y),
% apply(f(apply(k,apply(Y,X))),apply(Y,X))) -> (false)
% Current number of equations to process: 708
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [75]
% (eq)(apply(apply(apply(s,X),Y),Z),apply(f(apply(k,apply(apply(apply(s,X),Y),Z))),
% apply(apply(X,Z),apply(Y,Z)))) -> (false)
% Current number of equations to process: 747
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [76]
% (eq)(apply(apply(X,Y),apply(Z,Y)),apply(f(apply(k,apply(apply(apply(s,X),Z),Y))),
% apply(apply(apply(s,X),Z),Y))) -> (false)
% Current number of equations to process: 747
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [77]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(k,Y)),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 770
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [78]
% (eq)(apply(apply(X,Y),Z),apply(f(apply(k,apply(apply(X,Y),Z))),apply(
% apply(
% apply(s,X),
% apply(k,Z)),Y)))
% -> (false)
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [79]
% (eq)(apply(apply(apply(apply(s,s),k),X),Y),apply(f(apply(k,apply(apply(X,Y),X))),
% apply(apply(apply(apply(s,s),k),X),Y)))
% -> (false)
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [80]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(k,apply(k,Y))),Z),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [81]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,apply(k,X))),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [82]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),k),
% apply(k,X)),Y),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 922
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [83]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),k),X),Y),
% apply(f(apply(k,apply(X,X))),apply(X,X))) -> (false)
% Current number of equations to process: 921
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [84]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),
% apply(k,Y)),Z),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 920
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [85]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,apply(k,X))),Y),
% apply(k,Z)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 919
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [86]
% (eq)(apply(X,apply(apply(apply(apply(apply(s,s),Y),s),k),Z)),apply(f(
% apply(k,
% apply(X,Z))),
% apply(X,Z))) ->
% (false)
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [87]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),apply(k,apply(k,X))),k),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1037
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [88]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(s,s),Y),s)),k),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [89]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,k),Y)),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [90]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,k)),apply(k,apply(k,X))),Y),
% apply(f(apply(k,apply(Y,X))),apply(Y,X))) -> (false)
% Current number of equations to process: 1055
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [91]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,apply(s,k))),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1078
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [92]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(s,apply(k,X)),
% apply(k,Y)),Z))) ->
% (false)
% Current number of equations to process: 1173
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [93]
% (eq)(apply(apply(X,Y),X),apply(f(apply(k,apply(apply(X,Y),X))),apply(
% apply(
% apply(
% apply(s,s),k),X),Y)))
% -> (false)
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [94]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),
% apply(s,s)),Y),apply(k,X)),k)))
% -> (false)
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [95]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,apply(k,k)),k),X)),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1248
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [96]
% (eq)(apply(apply(apply(apply(apply(s,s),X),s),k),Y),apply(f(apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 1307
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [97]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(s,s),Y),s),s),k),Z)),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 1306
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [98]
% (eq)(apply(X,apply(apply(apply(apply(apply(s,s),Y),s),k),Z)),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),X),Z)),
% apply(X,Z))) ->
% (false)
% Current number of equations to process: 1317
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [99]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(apply(s,s),Y),s),k)),Z),
% apply(f(apply(k,apply(apply(X,Z),Z))),apply(apply(X,Z),Z))) -> (false)
% Current number of equations to process: 1327
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [100]
% (eq)(apply(X,apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),Y),k),Z)),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 1326
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [101]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),s),
% apply(k,Y)),k),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1325
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [102]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,k)),apply(k,apply(k,X))),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1337
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [103]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),k),
% apply(k,X)),apply(k,Y)),Z))) ->
% (false)
% Current number of equations to process: 1426
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [104]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),Y),apply(f(
% apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 1451
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [105]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1456
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [106]
% (eq)(apply(apply(apply(apply(apply(s,s),X),s),k),apply(Y,Z)),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),Y),Z)),
% apply(Y,Z))) ->
% (false)
% Current number of equations to process: 1463
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [107]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),s),Y),k),
% apply(f(apply(k,apply(Y,k))),apply(Y,k))) -> (false)
% Current number of equations to process: 1486
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [108]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),X),
% apply(k,k)),s),Y),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1485
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [109]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(apply(s,s),Y),s),s),s),k),Z)),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 1484
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [110]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(s,s),Y),s),s),k),Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 1483
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [111]
% (eq)(apply(apply(apply(apply(apply(s,s),X),s),k),Y),apply(f(apply(apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(s,k),Z)),Y)),Y))
% -> (false)
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [112]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(s,s),Y),k)),Z),apply(f(
% apply(k,
% apply(
% apply(X,Z),Z))),
% apply(apply(X,Z),Z)))
% -> (false)
% Current number of equations to process: 1523
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [113]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1588
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [114]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1597
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [115]
% (eq)(apply(apply(apply(apply(apply(s,s),X),s),k),Y),apply(f(apply(apply(
% apply(s,
% apply(k,k)),
% apply(k,Y)),Z)),Y))
% -> (false)
% Current number of equations to process: 1606
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [116]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),apply(Y,Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),Z)),apply(Y,Z))) -> (false)
% Current number of equations to process: 1614
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [117]
% (eq)(apply(apply(apply(s,X),apply(apply(s,k),Y)),Z),apply(f(apply(k,apply(
% apply(X,Z),Z))),
% apply(apply(X,Z),Z))) ->
% (false)
% Current number of equations to process: 1750
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [118]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1756
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [119]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(k,Y)),Z)),Y))
% -> (false)
% Current number of equations to process: 1780
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [120]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),s),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1799
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [121]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),Z)),Y)) -> (false)
% Current number of equations to process: 1798
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [122]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),X),Y),apply(f(apply(k,apply(
% apply(X,Y),Y))),
% apply(apply(X,Y),Y))) ->
% (false)
% Current number of equations to process: 1820
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [123]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),X),apply(
% apply(s,k),Y)),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 1858
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [124]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,Y)),apply(apply(s,k),Z)),
% apply(f(apply(k,apply(apply(X,Y),Y))),apply(apply(X,Y),Y))) -> (false)
% Current number of equations to process: 1857
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [125]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),s),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1856
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [126]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),Z)),Y)) -> (false)
% Current number of equations to process: 1855
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [127]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),X),apply(f(
% apply(k,X)),X))
% -> (false)
% Current number of equations to process: 1904
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [128]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,s),X)),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 1905
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [129]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,k),X)),Y),
% apply(f(apply(k,apply(Y,Y))),apply(Y,Y))) -> (false)
% Current number of equations to process: 1904
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [130]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,s),X),k)),Y),
% apply(f(apply(k,apply(Y,Y))),apply(Y,Y))) -> (false)
% Current number of equations to process: 1921
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [131]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,X)),apply(s,k)),Y),
% apply(f(apply(k,apply(apply(X,Y),Y))),apply(apply(X,Y),Y))) -> (false)
% Current number of equations to process: 1920
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [132]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),apply(s,k)),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [133]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,s),X),s)),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 1995
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [134]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,k),X)),apply(k,Y)),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2001
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [135]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),apply(X,Y)),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 2016
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [136]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,k),X)),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),Y)),apply(Y,Y))) -> (false)
% Current number of equations to process: 2015
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [137]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,s),X),k)),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2014
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [138]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),X),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(k,X)),Y)),X))
% -> (false)
% Current number of equations to process: 2073
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [139]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(apply(s,s),X),s),s)),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 2082
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [140]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(s,k),Z)),Y)),Y))
% -> (false)
% Current number of equations to process: 2149
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [141]
% (eq)(apply(apply(apply(apply(apply(s,s),X),s),k),apply(k,k)),apply(f(
% apply(
% apply(
% apply(
% apply(s,
% apply(s,s)),k),k),Y)),
% apply(k,k))) ->
% (false)
% Current number of equations to process: 2152
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [142]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),X),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(s,k),Y)),X)),X))
% -> (false)
% Current number of equations to process: 2150
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [143] apply(apply(apply(apply(apply(s,s),X),s),k),Y) -> Y
% Rule
% [86]
% (eq)(apply(X,apply(apply(apply(apply(apply(s,s),Y),s),k),Z)),apply(f(
% apply(k,
% apply(X,Z))),
% apply(X,Z))) ->
% (false) collapsed.
% Rule
% [96]
% (eq)(apply(apply(apply(apply(apply(s,s),X),s),k),Y),apply(f(apply(k,Y)),Y))
% -> (false) collapsed.
% Rule
% [98]
% (eq)(apply(X,apply(apply(apply(apply(apply(s,s),Y),s),k),Z)),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),X),Z)),
% apply(X,Z))) ->
% (false) collapsed.
% Rule
% [106]
% (eq)(apply(apply(apply(apply(apply(s,s),X),s),k),apply(Y,Z)),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),Y),Z)),
% apply(Y,Z))) ->
% (false) collapsed.
% Rule
% [111]
% (eq)(apply(apply(apply(apply(apply(s,s),X),s),k),Y),apply(f(apply(apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(s,k),Z)),Y)),Y))
% -> (false) collapsed.
% Rule
% [115]
% (eq)(apply(apply(apply(apply(apply(s,s),X),s),k),Y),apply(f(apply(apply(
% apply(s,
% apply(k,k)),
% apply(k,Y)),Z)),Y))
% -> (false) collapsed.
% Rule
% [141]
% (eq)(apply(apply(apply(apply(apply(s,s),X),s),k),apply(k,k)),apply(f(
% apply(
% apply(
% apply(
% apply(s,
% apply(s,s)),k),k),Y)),
% apply(k,k))) ->
% (false) collapsed.
% Current number of equations to process: 2187
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [144]
% (eq)(apply(X,f(apply(apply(s,apply(s,k)),X))),apply(f(apply(apply(s,apply(s,k)),X)),
% apply(X,f(apply(apply(s,
% apply(s,k)),X)))))
% -> (false)
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [145] (eq)(X,apply(f(apply(apply(s,apply(s,k)),apply(k,X))),X)) -> (false)
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [146]
% (eq)(apply(s,k),apply(f(apply(apply(apply(s,apply(s,s)),s),k)),apply(s,k)))
% -> (false)
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [147]
% (eq)(apply(s,k),apply(f(apply(apply(apply(apply(apply(s,s),k),s),apply(s,s)),k)),
% apply(s,k))) -> (false)
% Current number of equations to process: 2223
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [148]
% (eq)(apply(X,Y),apply(f(apply(apply(s,apply(s,k)),apply(apply(apply(s,
% apply(k,k)),X),Y))),
% apply(X,Y))) -> (false)
% Current number of equations to process: 2227
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [149]
% (eq)(X,apply(f(apply(apply(s,apply(s,k)),apply(apply(apply(s,apply(k,k)),
% apply(k,X)),Y))),X)) ->
% (false)
% Current number of equations to process: 2227
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [150]
% (eq)(X,apply(f(apply(apply(s,apply(s,k)),apply(apply(apply(s,apply(k,k)),
% apply(apply(s,k),Y)),X))),X))
% -> (false)
% Current number of equations to process: 2262
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [151] apply(apply(X,Y),X) <-> apply(apply(apply(apply(s,s),k),X),Y)
% Current number of equations to process: 2271
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [152] apply(apply(apply(apply(s,s),k),X),Y) <-> apply(apply(X,Y),X)
% Rule
% [35]
% (eq)(apply(s,X),apply(f(apply(apply(apply(apply(apply(s,s),k),s),apply(k,k)),X)),
% apply(s,X))) -> (false) collapsed.
% Rule
% [147]
% (eq)(apply(s,k),apply(f(apply(apply(apply(apply(apply(s,s),k),s),apply(s,s)),k)),
% apply(s,k))) -> (false) collapsed.
% Current number of equations to process: 2271
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [153]
% (eq)(X,apply(f(apply(apply(apply(apply(s,s),k),apply(s,apply(k,k))),apply(k,X))),X))
% -> (false)
% Current number of equations to process: 2305
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [154]
% (eq)(X,apply(apply(apply(apply(s,s),k),apply(apply(apply(s,apply(k,s)),k),
% f(apply(k,X)))),apply(k,X))) ->
% (false)
% Current number of equations to process: 2309
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [155]
% (eq)(apply(apply(apply(apply(s,s),k),apply(s,apply(k,X))),apply(k,Y)),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [156]
% (eq)(apply(apply(apply(apply(s,s),k),apply(s,apply(k,X))),apply(k,Y)),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 2321
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [157]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(s,s),apply(s,k))),apply(k,
% apply(k,X))),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2361
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [158]
% (eq)(apply(apply(X,apply(k,k)),Y),apply(f(apply(apply(apply(apply(s,s),X),
% apply(k,k)),Y)),apply(
% apply(X,
% apply(k,k)),Y)))
% -> (false)
% Current number of equations to process: 2509
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [159]
% (eq)(k,apply(f(apply(apply(apply(apply(s,s),apply(apply(s,k),X)),apply(k,k)),Y)),k))
% -> (false)
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [160]
% (eq)(k,apply(f(apply(apply(apply(apply(s,s),apply(apply(apply(s,s),X),k)),
% apply(k,k)),Y)),k)) -> (false)
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [161]
% (eq)(k,apply(f(apply(apply(apply(apply(s,s),apply(apply(apply(apply(s,s),X),s),k)),
% apply(k,k)),Y)),k)) -> (false)
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [162]
% (eq)(k,apply(f(apply(apply(apply(apply(apply(s,s),apply(s,k)),s),apply(k,k)),X)),k))
% -> (false)
% Current number of equations to process: 2548
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [163]
% (eq)(k,apply(f(apply(apply(apply(apply(s,s),k),apply(apply(s,s),apply(
% apply(s,k),X))),
% apply(k,k))),k)) -> (false)
% Current number of equations to process: 2565
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [164]
% (eq)(k,apply(f(apply(apply(apply(apply(s,s),k),apply(apply(apply(s,s),
% apply(s,k)),s)),
% apply(k,k))),k)) -> (false)
% Current number of equations to process: 2582
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [165]
% (eq)(apply(X,Y),apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(
% apply(
% apply(s,
% apply(k,k)),X),Y))),X),Y))
% -> (false)
% Current number of equations to process: 2595
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [166]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(k,k)),apply(k,Y)),X)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 2621
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [167]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,
% apply(k,k)),X),Y)),Z)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 2650
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [168]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,apply(k,k)),
% apply(k,X)),Y)),Z)),X))
% -> (false)
% Current number of equations to process: 2661
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [169]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(apply(s,apply(s,s)),apply(k,
% apply(k,k))),
% apply(k,X)),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 2695
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [170]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),Y),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),apply(Y,Z))),X)) ->
% (false)
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [171]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,s)),k),k),X),Y),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 2718
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [172]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),X),
% apply(k,Y)),Z),apply(f(apply(k,Y)),Y)) -> (false)
% Rule
% [82]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),k),
% apply(k,X)),Y),apply(f(apply(k,X)),X)) -> (false) collapsed.
% Current number of equations to process: 2718
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [173]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),Y),Z),
% apply(f(apply(k,X)),X)) -> (false)
% Rule
% [61]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),apply(k,Y)),Z),
% apply(f(apply(k,X)),X)) -> (false) collapsed.
% Rule
% [67]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),apply(
% apply(s,k),Y)),Z),
% apply(f(apply(k,X)),X)) -> (false) collapsed.
% Current number of equations to process: 2719
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [174]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(s,apply(k,s))),k),
% apply(k,X)),Y),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2780
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [175]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(apply(s,apply(k,s)),k),
% apply(k,X))),Y),apply(f(apply(k,X)),X))
% -> (false)
% Current number of equations to process: 2780
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [176]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(k,Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),Z),Y)),apply(Z,Y))) -> (false)
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [177]
% (eq)(apply(k,k),apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,
% apply(s,s))),k),X),k)),
% apply(k,k))) -> (false)
% Current number of equations to process: 2838
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [178]
% (eq)(apply(s,k),apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,
% apply(s,s)),s),k)),X)),
% apply(s,k))) -> (false)
% Current number of equations to process: 2846
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [179]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),apply(k,Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),Y)),X)) -> (false)
% Current number of equations to process: 2852
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [180]
% (eq)(apply(apply(apply(apply(s,s),k),apply(k,X)),Y),apply(f(apply(apply(
% apply(s,
% apply(k,k)),X),
% apply(k,X))),
% apply(X,apply(k,X)))) ->
% (false)
% Current number of equations to process: 2868
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [181]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,X)),Y),apply(k,Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 2868
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [182]
% (eq)(apply(apply(apply(apply(s,s),k),apply(k,apply(k,X))),Y),apply(f(
% apply(k,X)),X))
% -> (false)
% Current number of equations to process: 2868
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [183]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(apply(s,apply(k,k)),k),X)),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [184]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),k),apply(k,apply(k,X))),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2922
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [185]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),k),X),apply(k,
% apply(k,Y))),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2943
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [186]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(k,Y)),Z),apply(f(apply(apply(
% apply(
% apply(s,s),
% apply(k,X)),
% apply(k,k)),Y)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 2956
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [187]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(apply(s,k),Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 2978
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [188]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(apply(s,s),Y),s),k)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 3010
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [189]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,Y)),Z),apply(f(apply(k,apply(
% apply(
% apply(s,X),Z),Y))),
% apply(apply(X,Y),
% apply(Z,Y)))) -> (false)
% Current number of equations to process: 3035
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [190]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),k),
% apply(k,Y)),Z),apply(f(apply(k,apply(Z,Y))),apply(Z,Y))) ->
% (false)
% Current number of equations to process: 3070
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [191]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,X)),k),Y),Z),
% apply(f(apply(k,apply(apply(X,Z),Y))),apply(apply(X,Z),Y))) -> (false)
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [192]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,k)),k),X),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [193]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,apply(s,k))),k),X),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3111
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [194]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(k,Y)),Z),apply(apply(apply(
% apply(
% apply(s,
% apply(k,s)),k),
% f(apply(k,
% apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 3159
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [195]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),k),X),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),X),X)),apply(X,X))) -> (false)
% Current number of equations to process: 3178
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [196]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(k,apply(k,Y))),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),X)),Y)) -> (false)
% Current number of equations to process: 3191
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [197]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(apply(apply(s,s),Y),k)),Z),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 3208
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [198]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(s,apply(s,s)),
% apply(k,k)),Y)),Z),apply(f(
% apply(k,
% apply(X,Z))),
% apply(X,Z))) ->
% (false)
% Current number of equations to process: 3233
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [199]
% (eq)(apply(X,apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),Y),Z)),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 3240
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [200]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),Y),apply(f(
% apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 3263
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [201]
% (eq)(apply(X,apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),Y),Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 3287
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [202]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),X),
% apply(k,k)),Y),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3286
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [203]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),apply(Y,Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),Z)),apply(Y,Z))) -> (false)
% Current number of equations to process: 3285
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [204]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(k,Y)),Z)),Y))
% -> (false)
% Current number of equations to process: 3335
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [205]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(s,k),Z)),Y)),Y))
% -> (false)
% Current number of equations to process: 3384
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [206]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),k),apply(k,X)),Y),
% apply(f(apply(k,apply(apply(Y,X),Y))),apply(apply(Y,X),Y))) -> (false)
% Current number of equations to process: 3400
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [207]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),X),apply(k,Y)),apply(k,Z)),
% apply(f(apply(k,apply(apply(X,Y),Z))),apply(apply(X,Y),Z))) -> (false)
% Current number of equations to process: 3430
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [208]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,Y)),apply(k,Z)),
% apply(f(apply(k,apply(apply(Y,X),Z))),apply(apply(Y,X),Z))) -> (false)
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [209]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(s,s),Y),k)),Z),
% apply(f(apply(k,apply(Z,X))),apply(Z,X))) -> (false)
% Current number of equations to process: 3503
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [210]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,X)),apply(k,apply(k,Y))),Z),
% apply(f(apply(k,apply(apply(X,Z),Y))),apply(apply(X,Z),Y))) -> (false)
% Current number of equations to process: 3530
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [211]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,k)),k),X),Y),
% apply(f(apply(k,apply(Y,X))),apply(Y,X))) -> (false)
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [212]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(k,Y)),
% apply(apply(s,k),Z)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3590
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [213]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(k,X)),
% apply(apply(s,k),Y)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3605
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [214]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(k,X)),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),X)),apply(Y,X))) -> (false)
% Current number of equations to process: 3617
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [215]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(k,Y)),Z),apply(f(apply(k,apply(X,Y))),
% apply(apply(apply(s,
% apply(k,X)),
% apply(k,Y)),Z))) ->
% (false)
% Current number of equations to process: 3646
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [216]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(apply(s,s),X),k)),
% apply(k,Y)),Z),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3671
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [217]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,apply(k,X))),apply(k,
% apply(k,Y))),Z),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 3686
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [218]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,apply(k,k)),
% apply(s,k)),X)),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3709
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [219]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),apply(s,k)),X),
% apply(k,apply(k,Y))),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3724
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [220]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),
% apply(s,k)),X),Y),apply(f(apply(k,apply(X,Y))),apply(X,Y)))
% -> (false)
% Current number of equations to process: 3735
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [221]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),
% apply(apply(s,k),Y)),Z),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 3760
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [222]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(apply(apply(s,s),Y),s),s),k)),Z),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 3774
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [223]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),k),
% apply(s,k)),apply(k,X)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3795
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [224]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,k),Y)),
% apply(apply(s,k),Z)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3805
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [225]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,k),Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),Z),X)),apply(Z,X))) -> (false)
% Current number of equations to process: 3820
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [226]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,apply(s,k))),
% apply(apply(s,k),Y)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3851
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [227]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,apply(s,k))),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),X)),apply(Y,X))) -> (false)
% Current number of equations to process: 3862
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [228]
% (eq)(apply(apply(apply(apply(s,s),apply(k,X)),Y),Z),apply(f(apply(k,apply(
% apply(
% apply(s,Y),X),Z))),
% apply(apply(Y,Z),
% apply(X,Z)))) -> (false)
% Current number of equations to process: 3889
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [229]
% (eq)(apply(apply(apply(apply(s,s),apply(k,X)),apply(s,k)),Y),apply(f(
% apply(k,
% apply(X,Y))),
% apply(X,Y))) ->
% (false)
% Current number of equations to process: 3904
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [230]
% (eq)(apply(apply(apply(apply(s,s),apply(k,X)),apply(s,k)),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),X),Y)),
% apply(X,Y))) ->
% (false)
% Current number of equations to process: 3941
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [231]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,apply(s,k))),apply(k,X)),Y),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 3948
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [232]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,k)),k),X),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3976
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [233]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(s,
% apply(k,k)),k),Y)),Z),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3989
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [234]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),apply(apply(apply(s,
% apply(k,k)),k),X)),k),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4002
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [235]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(
% apply(s,s),Y),s),s)),k),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [236]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(s,s),Y),k)),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 4026
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [237]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,k)),apply(k,apply(k,X))),
% apply(apply(s,k),Y)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [238]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,k)),apply(k,apply(k,X))),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),X)),apply(Y,X))) -> (false)
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [239]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(
% apply(
% apply(s,
% apply(k,X)),
% apply(k,Y)),Z)))
% -> (false)
% Current number of equations to process: 4080
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced :
% [240]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(
% apply(s,
% apply(k,s)),k),X),
% apply(k,Y)),Z))) ->
% (false)
% Current number of equations to process: 4080
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [241]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(s,s),
% apply(k,apply(k,Y))),
% apply(k,X)),Z))) ->
% (false)
% Current number of equations to process: 4129
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [242]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),apply(k,apply(k,Y))),
% apply(k,apply(k,X))),Z))) -> (false)
% Current number of equations to process: 4137
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [243]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(s,apply(k,k)),k)),
% apply(s,k)),X),apply(f(apply(k,apply(s,k))),apply(s,k))) ->
% (false)
% Current number of equations to process: 4166
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [244]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),
% apply(s,s)),X),Y),s),k),Z),apply(f(
% apply(k,Z)),Z))
% -> (false)
% Current number of equations to process: 4174
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [245]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(apply(apply(s,s),Y),s),s),k)),Z),
% apply(f(apply(k,apply(apply(X,Z),Z))),apply(apply(X,Z),Z))) -> (false)
% Current number of equations to process: 4190
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [246]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),Y),s),k),Z)),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 4222
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [247]
% (eq)(apply(X,apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),Y),k),Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 4245
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [248]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),s)),s),
% apply(k,Y)),k),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4279
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [249]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(s,s),X)),k),s),k),
% apply(f(apply(k,s)),s)) -> (false)
% Current number of equations to process: 4279
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [250]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),s)),s),Y),k),
% apply(f(apply(k,apply(Y,k))),apply(Y,k))) -> (false)
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [251]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),X),
% apply(k,s)),s),k),Y),apply(f(apply(k,Y)),Y)) ->
% (false)
% Current number of equations to process: 4313
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [252]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),s),
% apply(k,k)),s),Y),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4313
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [253]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),X),
% apply(k,s)),k),Y),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4341
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [254]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),k),apply(Y,Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),Z)),apply(Y,Z))) -> (false)
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [255]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),s),Y),k),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),k)),apply(Y,k))) -> (false)
% Current number of equations to process: 4392
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [256]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),s),
% apply(apply(s,k),Y)),k),apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 4412
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [257]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),
% apply(s,s)),k),k),s),X),apply(f(apply(k,X)),X))
% -> (false)
% Current number of equations to process: 4421
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [258]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(apply(apply(s,s),Y),s),s),s),s),k),Z)),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 4432
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [259]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(apply(s,s),Y),s),s),s),k),Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 4457
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [260]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Z)),Y)),Y)) ->
% (false)
% Current number of equations to process: 4492
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [261]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),X),apply(
% apply(
% apply(s,s),Y),k)),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 4510
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [262]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(s,apply(s,s)),apply(k,k)),Y)),Z),
% apply(f(apply(k,apply(apply(X,Z),Z))),apply(apply(X,Z),Z))) -> (false)
% Current number of equations to process: 4521
% Current number of ordered equations: 1
% Current number of rules: 250
% New rule produced :
% [263]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,Y)),apply(apply(apply(s,s),Z),k)),
% apply(f(apply(k,apply(apply(X,Y),Y))),apply(apply(X,Y),Y))) -> (false)
% Current number of equations to process: 4521
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [264]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),k),apply(Y,Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),Z)),apply(Y,Z))) -> (false)
% Current number of equations to process: 4588
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [265]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(
% apply(s,k),Y)),Z),
% apply(f(apply(k,apply(Z,Z))),apply(Z,Z))) -> (false)
% Current number of equations to process: 4624
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [266]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(
% apply(s,k),X)),Y),
% apply(f(apply(k,apply(Y,Y))),apply(Y,Y))) -> (false)
% Current number of equations to process: 4640
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [267]
% (eq)(apply(apply(apply(s,X),apply(apply(s,k),Y)),Z),apply(f(apply(apply(
% apply(s,
% apply(k,k)),
% apply(X,Z)),Z)),
% apply(apply(X,Z),Z))) ->
% (false)
% Current number of equations to process: 4651
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [268]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),s),s),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4683
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [269]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),apply(k,k)),
% apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),Y)),apply(k,k))) ->
% (false)
% Current number of equations to process: 4696
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [270]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),Z)),Y)) -> (false)
% Current number of equations to process: 4708
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [271]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),X)),Y),
% apply(f(apply(k,apply(apply(X,Y),Y))),apply(apply(X,Y),Y))) -> (false)
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [272]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),k)),X),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4725
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [273]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,apply(s,k))),apply(s,k)),X),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4729
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [274]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),X),Y),apply(f(apply(apply(
% apply(s,
% apply(k,k)),
% apply(X,Y)),Y)),
% apply(apply(X,Y),Y))) ->
% (false)
% Current number of equations to process: 4776
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [275]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,s)),
% apply(s,k)),X),k),apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 4814
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [276]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),s),s),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4822
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [277]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),Z)),Y)) -> (false)
% Current number of equations to process: 4835
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [278]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,s)),s),k),
% apply(s,k)),X),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4852
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [279]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),apply(s,k)),
% apply(k,X)),apply(s,k)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4863
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [280]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(apply(s,s),X),s),k)),Y),
% apply(f(apply(k,apply(Y,Y))),apply(Y,Y))) -> (false)
% Current number of equations to process: 4874
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [281]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,s),X),k)),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),Y)),apply(Y,Y))) -> (false)
% Current number of equations to process: 4888
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [282]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,apply(s,s)),
% apply(k,s)),X)),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 4901
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [283]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(apply(s,s),X),s),k)),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4910
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [284]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),apply(k,k)),
% apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),X)),apply(k,k))) ->
% (false)
% Current number of equations to process: 4923
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [285]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(apply(
% apply(s,s),X),s),s),s)),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 4932
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [286]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Z)),Y)),Y)) ->
% (false)
% Current number of equations to process: 4942
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [287]
% (eq)(apply(s,k),apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(
% apply(
% apply(s,
% apply(s,s)),s),k))),s),k))
% -> (false)
% Current number of equations to process: 4958
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [288]
% (eq)(apply(s,k),apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(s,s)),apply(k,k)),s)),apply(s,k)))
% -> (false)
% Current number of equations to process: 4961
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [289]
% (eq)(apply(s,k),apply(f(apply(apply(apply(apply(apply(apply(s,apply(k,s)),
% apply(s,s)),k),s),s),k)),
% apply(s,k))) -> (false)
% Current number of equations to process: 4966
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [290]
% (eq)(apply(k,k),apply(f(apply(apply(s,apply(s,k)),apply(apply(apply(apply(s,
% apply(s,s)),k),k),X))),
% apply(k,k))) -> (false)
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [291]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),
% apply(s,s)),apply(k,X)),k),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 4979
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [292]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(apply(s,apply(k,s)),k),X)),
% apply(k,Y)),apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 4989
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [293]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(s,s),k),
% apply(s,apply(k,X))),
% apply(k,Y)))) -> (false)
% Current number of equations to process: 1794
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [294]
% (eq)(apply(apply(apply(s,X),apply(apply(s,k),Y)),X),apply(f(apply(k,apply(
% apply(X,X),X))),
% apply(apply(apply(
% apply(s,s),k),X),X)))
% -> (false)
% Current number of equations to process: 1813
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [295]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),X),X),apply(f(apply(k,apply(
% apply(X,X),X))),
% apply(apply(apply(
% apply(s,s),k),X),X)))
% -> (false)
% Current number of equations to process: 1825
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [296]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,s)),k)),
% apply(k,X)),Y),Z),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1834
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [297]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,apply(X,Y))),Z),V_3),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 1848
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [298]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),Y),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),V_3)),X)) -> (false)
% Rule
% [170]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),Y),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),apply(Y,Z))),X)) ->
% (false) collapsed.
% Rule
% [179]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),apply(k,Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),Y)),X)) -> (false)
% collapsed.
% Current number of equations to process: 1848
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [299]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),k),X),apply(f(apply(apply(
% apply(s,
% apply(k,k)),k),
% apply(k,k))),
% apply(k,apply(k,k)))) ->
% (false)
% Current number of equations to process: 1900
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [300]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(apply(s,apply(k,k)),k),
% apply(k,X))),k),Y),apply(f(
% apply(k,X)),X))
% -> (false)
% Current number of equations to process: 1906
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [301]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),k),apply(apply(
% apply(s,
% apply(k,k)),k),X)),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1918
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [302]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,k)),k),X),Y),apply(apply(
% apply(s,
% apply(k,k)),k),X)),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1927
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [303]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,k)),k),X),Y),apply(k,apply(k,X))),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1931
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [304]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),k),
% apply(k,Y)),apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 1951
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [305]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,apply(k,X))),k),Y),Z),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 1965
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [306]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(k,s)),s),k),k),X),Y),apply(f(
% apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [307]
% (eq)(apply(apply(apply(apply(apply(s,s),k),apply(apply(apply(s,apply(k,s)),k),
% apply(s,k))),k),X),apply(f(
% apply(k,X)),X))
% -> (false)
% Current number of equations to process: 2004
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [308]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),
% apply(k,k)),X),Y),apply(f(apply(k,apply(X,Y))),apply(X,Y)))
% -> (false)
% Current number of equations to process: 2014
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [309]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),
% apply(k,k)),apply(k,X)),Y),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [310]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),apply(k,k)),
% apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),Y)),apply(k,k))) ->
% (false)
% Current number of equations to process: 2051
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [311]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),k),apply(k,X)),
% apply(s,k)),apply(f(apply(k,apply(s,k))),apply(s,k))) -> (false)
% Current number of equations to process: 2062
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [312]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(apply(s,s),X)),
% apply(k,k)),apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2071
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [313]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,apply(k,Y))),
% apply(k,Z)),apply(f(apply(k,apply(Y,Z))),apply(Y,Z))) -> (false)
% Current number of equations to process: 2084
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [314]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(s,apply(k,k)),
% apply(s,k))),apply(s,k)),X),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2103
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [315]
% (eq)(apply(apply(apply(apply(s,s),apply(k,X)),Y),Z),apply(f(apply(k,apply(
% apply(
% apply(s,Y),X),Z))),
% apply(apply(apply(s,Y),X),Z)))
% -> (false)
% Current number of equations to process: 2111
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [316]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,apply(s,k))),apply(k,X)),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 2134
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [317]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,k)),k)),X),
% apply(k,Y)),Z),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2156
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [318]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(
% apply(s,k),Y)),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 2166
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [319]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(
% apply(s,k),X)),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2181
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [320]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),
% apply(k,X))),Y),apply(f(
% apply(k,
% apply(X,Y))),
% apply(X,Y))) ->
% (false)
% Current number of equations to process: 2190
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [321]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),
% apply(apply(s,s),X))),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 2216
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [322]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(apply(s,s),s),s)),
% apply(s,k)),k),apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 2217
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [323]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),Y),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),V_3)),X)),X)) ->
% (false)
% Current number of equations to process: 2227
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [324]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,k)),k)),X),k),
% apply(k,X)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [325]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(s,apply(k,k))),k),X),
% apply(k,apply(k,X))),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2257
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [326]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),k),k),X),Y),
% apply(f(apply(k,apply(s,X))),apply(s,X))) -> (false)
% Current number of equations to process: 2268
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [327]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),
% apply(k,apply(k,X)))),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2282
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [328]
% (eq)(f(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,k)),X),Y)),
% apply(f(apply(apply(s,k),apply(X,Y))),f(apply(apply(s,k),apply(X,Y))))) ->
% (false)
% Current number of equations to process: 2295
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [329]
% (eq)(f(apply(apply(apply(s,s),X),k)),apply(f(apply(apply(apply(s,apply(s,s)),
% apply(k,k)),X)),f(
% apply(
% apply(
% apply(s,s),X),k))))
% -> (false)
% Current number of equations to process: 2326
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [330]
% (eq)(f(apply(apply(apply(s,s),X),k)),apply(f(apply(apply(apply(s,s),X),k)),
% f(apply(apply(apply(s,apply(s,s)),
% apply(k,k)),X)))) -> (false)
% Current number of equations to process: 2326
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [331]
% (eq)(apply(X,apply(Y,X)),apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(k,k)),Y),X)),apply(X,
% apply(Y,X))))
% -> (false)
% Current number of equations to process: 2342
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [332]
% (eq)(apply(X,apply(Y,Z)),apply(f(apply(apply(apply(s,apply(k,k)),X),apply(Y,Z))),
% apply(apply(apply(s,apply(k,X)),Y),Z))) -> (false)
% Current number of equations to process: 2374
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [333]
% (eq)(apply(apply(X,Y),Z),apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Y)),Z)),
% apply(apply(apply(s,X),apply(k,Z)),Y))) -> (false)
% Current number of equations to process: 2415
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [334]
% (eq)(apply(X,f(X)),apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(k,s)),apply(k,f(X))),k),X),
% f(X))) -> (false)
% Current number of equations to process: 2446
% Current number of ordered equations: 1
% Current number of rules: 320
% New rule produced :
% [335]
% (eq)(apply(X,f(X)),apply(apply(apply(apply(apply(s,apply(k,s)),apply(
% apply(s,
% apply(k,s)),k)),
% f(X)),apply(k,f(X))),X)) -> (false)
% Current number of equations to process: 2446
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [336]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,k)),
% apply(k,X)),apply(apply(s,k),Y))),X)) -> (false)
% Current number of equations to process: 2477
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [337]
% (eq)(X,apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,s)),k)),
% f(apply(k,X))),Y),apply(k,X))) -> (false)
% Current number of equations to process: 2488
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [338]
% (eq)(X,apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),
% apply(k,apply(k,X))),f(apply(k,X))),Y)) -> (false)
% Current number of equations to process: 2499
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [339]
% (eq)(X,apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,f(apply(k,X)))),
% apply(k,f(apply(k,X)))),apply(k,X))) -> (false)
% Current number of equations to process: 2510
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [340]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,apply(s,k)),
% apply(apply(apply(s,s),Y),k))),X)),X))
% -> (false)
% Current number of equations to process: 2517
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [341]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),Y),Z),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),X),
% apply(Y,Z))),
% apply(X,
% apply(Y,Z)))) ->
% (false)
% Current number of equations to process: 2527
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [342]
% (eq)(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,Y)),Z),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),Y),
% apply(X,Z))),
% apply(Y,
% apply(X,Z)))) ->
% (false)
% Current number of equations to process: 2576
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [343]
% (eq)(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,apply(k,Y))),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),apply(X,Z))),Y)) ->
% (false)
% Current number of equations to process: 2591
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [344]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,X)),Y),apply(f(
% apply(k,X)),X))
% -> (false)
% Current number of equations to process: 2615
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [345]
% (eq)(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,apply(k,Y))),Z),
% apply(f(apply(k,Y)),Y)) -> (false)
% Rule
% [80]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(k,apply(k,Y))),Z),
% apply(f(apply(k,Y)),Y)) -> (false) collapsed.
% Current number of equations to process: 2616
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [346]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(k,X)),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2644
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [347]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),k),k),X),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 2643
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [348]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),k),X),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2670
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [349]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,apply(X,Y))),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 2669
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [350]
% (eq)(apply(apply(apply(apply(s,s),apply(k,X)),apply(apply(apply(s,apply(k,k)),k),Y)),Z),
% apply(f(apply(k,Y)),Y)) -> (false)
% Rule
% [233]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(s,
% apply(k,k)),k),Y)),Z),
% apply(f(apply(k,Y)),Y)) -> (false) collapsed.
% Current number of equations to process: 2668
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [351]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(s,s),apply(k,X))),apply(k,
% apply(k,Y))),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2667
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [352]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(s,s)),s)),s),k),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 2666
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [353]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,X)),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(k,X)),Z)),X))
% -> (false)
% Current number of equations to process: 2679
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [354]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,X)),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(s,k),Z)),X)),X))
% -> (false)
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [355]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,k)),k)),X),s),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [356]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,k)),k)),X),Y),Z),
% apply(f(apply(k,X)),X)) -> (false)
% Rule
% [317]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,k)),k)),X),
% apply(k,Y)),Z),apply(f(apply(k,X)),X)) -> (false) collapsed.
% Rule
% [324]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,k)),k)),X),k),
% apply(k,X)),apply(f(apply(k,X)),X)) -> (false) collapsed.
% Rule
% [355]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,k)),k)),X),s),Y),
% apply(f(apply(k,X)),X)) -> (false) collapsed.
% Current number of equations to process: 2709
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [357]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(k,X)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),Y)),X)) -> (false)
% Current number of equations to process: 2750
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [358]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(apply(apply(s,apply(k,k)),X),Y)),Z),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [359]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),
% apply(k,apply(k,X))),k),Y),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 2822
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [360]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),apply(k,X)),Y),
% apply(k,apply(k,Z))),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 2821
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [361]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(k,apply(X,Y))),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 2820
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [362]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(k,s)),s),s),k),k),X),apply(f(
% apply(k,k)),k))
% -> (false)
% Current number of equations to process: 2819
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [363]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(s,apply(k,k)),k)),
% apply(k,X)),Y),apply(f(apply(k,apply(k,X))),apply(k,X))) ->
% (false)
% Current number of equations to process: 2817
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [364]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),k),k),X),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,k)),Y)),k)) -> (false)
% Current number of equations to process: 2815
% Current number of ordered equations: 1
% Current number of rules: 345
% New rule produced :
% [365]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,apply(k,k))),X),
% apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),Y)),apply(k,k))) ->
% (false)
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [366]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(k,X)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Y)),X)),X)) ->
% (false)
% Current number of equations to process: 2814
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [367]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(apply(apply(s,apply(k,k)),
% apply(k,X)),Y)),Z),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2813
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [368]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,Y)),apply(k,Z)),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(X,Y)),Z)),
% apply(apply(X,Y),Z)))
% -> (false)
% Current number of equations to process: 2942
% Current number of ordered equations: 1
% Current number of rules: 349
% New rule produced :
% [369]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),Y),Z),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(Y,Z)),X)),
% apply(apply(Y,Z),X)))
% -> (false)
% Current number of equations to process: 2942
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [370]
% (eq)(X,apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),
% apply(apply(apply(apply(s,s),Y),s),k)),X)) -> (false)
% Current number of equations to process: 3018
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [371]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),Y),
% apply(k,k)),apply(k,X))),X)) -> (false)
% Current number of equations to process: 3026
% Current number of ordered equations: 1
% Current number of rules: 352
% New rule produced :
% [372]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,
% apply(k,s)),s)),
% apply(k,k)),k),X)),X)) -> (false)
% Current number of equations to process: 3026
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [373]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(apply(s,
% apply(s,s)),
% apply(k,s)),Y),k)),X)),X))
% -> (false)
% Current number of equations to process: 3047
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [374]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,k),Y)),Z),apply(f(
% apply(
% apply(
% apply(
% apply(s,s),
% apply(k,X)),
% apply(k,k)),Z)),
% apply(X,Z))) ->
% (false)
% Current number of equations to process: 3058
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [375]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(s,k)),X),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(s,k)),X)),
% apply(apply(s,k),X)))
% -> (false)
% Current number of equations to process: 3080
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [376]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,X)),Y),apply(f(
% apply(
% apply(
% apply(
% apply(s,s),
% apply(k,X)),
% apply(k,k)),Y)),
% apply(X,Y))) ->
% (false)
% Current number of equations to process: 3093
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [377]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,k),Y)),Z),apply(apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),k),
% f(
% apply(k,
% apply(X,Z)))),X),Z))
% -> (false)
% Current number of equations to process: 3114
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [378]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(apply(
% apply(
% apply(s,s),Y),s),s),s),k)),X)),X))
% -> (false)
% Current number of equations to process: 3135
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [379]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(s,s),X)),k),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(s,s)),X)),
% apply(apply(s,s),X)))
% -> (false)
% Current number of equations to process: 3147
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [380]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,Y)),apply(k,Z)),apply(f(
% apply(k,
% apply(
% apply(X,Y),Z))),
% apply(apply(
% apply(s,X),
% apply(k,Z)),Y)))
% -> (false)
% Current number of equations to process: 3159
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [381]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),Y),Z),apply(f(
% apply(k,
% apply(
% apply(Y,Z),X))),
% apply(apply(
% apply(s,Y),
% apply(k,X)),Z)))
% -> (false)
% Current number of equations to process: 3188
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [382]
% (eq)(apply(X,apply(Y,Z)),apply(f(apply(apply(apply(s,apply(k,k)),apply(
% apply(s,
% apply(k,X)),Y)),Z)),
% apply(X,apply(Y,Z)))) -> (false)
% Current number of equations to process: 3219
% Current number of ordered equations: 1
% Current number of rules: 363
% New rule produced :
% [383]
% (eq)(apply(apply(X,Y),Z),apply(f(apply(apply(apply(s,apply(k,k)),apply(
% apply(s,X),
% apply(k,Z))),Y)),
% apply(apply(X,Y),Z))) -> (false)
% Current number of equations to process: 3219
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [384]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,
% apply(k,X)),
% apply(k,Y))),Z)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 3235
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [385]
% (eq)(apply(apply(X,Y),k),apply(f(apply(apply(apply(apply(s,s),apply(s,X)),
% apply(k,k)),Y)),apply(apply(X,Y),k)))
% -> (false)
% Current number of equations to process: 3266
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [386]
% (eq)(apply(X,k),apply(f(apply(apply(apply(apply(s,s),apply(s,apply(k,X))),
% apply(k,k)),Y)),apply(X,k))) -> (false)
% Current number of equations to process: 3302
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [387]
% (eq)(X,apply(f(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,k)),X)),X))
% -> (false)
% Current number of equations to process: 3320
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [388]
% (eq)(apply(apply(s,X),k),apply(f(apply(apply(apply(apply(apply(s,s),s),s),
% apply(k,k)),X)),apply(apply(s,X),k)))
% -> (false)
% Current number of equations to process: 3333
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [389]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,X)),Y),apply(apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),k),
% f(
% apply(k,
% apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 3379
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [390]
% (eq)(apply(apply(X,Y),Z),apply(f(apply(k,apply(apply(X,Y),Z))),apply(
% apply(
% apply(
% apply(s,s),
% apply(k,
% apply(k,Z))),X),Y)))
% -> (false)
% Current number of equations to process: 3398
% Current number of ordered equations: 1
% Current number of rules: 371
% New rule produced :
% [391]
% (eq)(apply(apply(X,Y),Z),apply(f(apply(k,apply(apply(X,Y),Z))),apply(
% apply(
% apply(s,
% apply(s,X)),
% apply(k,Y)),
% apply(k,Z))))
% -> (false)
% Current number of equations to process: 3398
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [392]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),apply(k,apply(k,X))),
% apply(apply(s,s),Y)),k))) -> (false)
% Current number of equations to process: 3410
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [393]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),
% apply(k,apply(k,X))),k))) -> (false)
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [394]
% (eq)(apply(apply(X,Y),X),apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Y)),X)),
% apply(apply(apply(apply(s,s),k),X),Y))) -> (false)
% Current number of equations to process: 3484
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [395]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(apply(apply(s,
% apply(s,s)),k),s),
% apply(s,s)),k),X),k))) ->
% (false)
% Current number of equations to process: 3520
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [396]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(apply(apply(s,
% apply(s,s)),k),s),k),k),
% apply(k,X)),Y))) -> (false)
% Current number of equations to process: 3528
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [397]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(
% apply(s,s),Z),k)),Y)),Y))
% -> (false)
% Current number of equations to process: 3539
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [398]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(s,s),Y),k)),Z),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(X,Z)),Z)),
% apply(apply(X,Z),Z)))
% -> (false)
% Current number of equations to process: 3557
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [399]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(apply(s,k),Y)),Z),apply(f(
% apply(k,
% apply(
% apply(
% apply(s,X),Z),Z))),
% apply(apply(X,Z),
% apply(Z,Z)))) ->
% (false)
% Current number of equations to process: 3589
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [400]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),k),apply(k,k)),
% apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),Y)),apply(k,k))) ->
% (false)
% Current number of equations to process: 3614
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [401]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,X)),Y),apply(f(
% apply(k,
% apply(
% apply(
% apply(s,X),Y),Y))),
% apply(apply(X,Y),
% apply(Y,Y)))) ->
% (false)
% Current number of equations to process: 3627
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [402]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),X),apply(f(
% apply(k,
% apply(X,X))),
% apply(X,X))) ->
% (false)
% Current number of equations to process: 3633
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [403]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(k,X)),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3650
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [404]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),X),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),X),X)),
% apply(X,X))) ->
% (false)
% Current number of equations to process: 3656
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [405]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),s),k),
% apply(s,k)),apply(f(apply(k,apply(s,k))),apply(s,k))) -> (false)
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [406]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(k,apply(X,Y))),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 3679
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [407]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(k,X)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),Y)),X)) -> (false)
% Current number of equations to process: 3679
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [408]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(k,X)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Y)),X)),X)) ->
% (false)
% Current number of equations to process: 3703
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [409]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),k),apply(k,k)),
% apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),Y)),apply(k,k))) ->
% (false)
% Current number of equations to process: 3730
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [410]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),X),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(
% apply(s,s),Y),k)),X)),X))
% -> (false)
% Current number of equations to process: 3742
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [411]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Z)),Y)),Y)) ->
% (false)
% Current number of equations to process: 3756
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [412]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),s),k),k),
% apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),Y)),apply(k,k))) ->
% (false)
% Current number of equations to process: 3775
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [413]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,
% apply(k,k)),s)),
% apply(s,k)),k),X)),X)) -> (false)
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [414]
% (eq)(X,apply(f(apply(apply(s,apply(s,k)),apply(apply(apply(s,apply(k,k)),
% apply(apply(apply(s,s),Y),k)),X))),X))
% -> (false)
% Current number of equations to process: 3793
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [415]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(s,s),k),apply(apply(s,apply(k,s)),s)),
% apply(k,k)),apply(k,X))),X)) -> (false)
% Current number of equations to process: 3803
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [416]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,Y)),apply(k,X)),apply(f(
% apply(k,
% apply(
% apply(X,Y),X))),
% apply(apply(
% apply(
% apply(s,s),k),X),Y)))
% -> (false)
% Current number of equations to process: 3812
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [417]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(s,s),Y),k)),X),apply(f(
% apply(k,
% apply(
% apply(X,X),X))),
% apply(apply(
% apply(
% apply(s,s),k),X),X)))
% -> (false)
% Current number of equations to process: 3839
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [418]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),Y),apply(f(
% apply(
% apply(
% apply(
% apply(s,s),k),
% apply(s,
% apply(k,k))),
% apply(k,Y))),Y))
% -> (false)
% Current number of equations to process: 3851
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [419]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),X),apply(f(
% apply(
% apply(
% apply(
% apply(s,s),k),
% apply(s,
% apply(k,k))),
% apply(k,X))),X))
% -> (false)
% Current number of equations to process: 3865
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [420]
% (eq)(apply(apply(apply(s,X),apply(k,k)),Y),apply(f(apply(apply(apply(
% apply(s,s),
% apply(s,X)),
% apply(k,k)),Y)),
% apply(apply(X,Y),k))) -> (false)
% Current number of equations to process: 3877
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [421]
% (eq)(k,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),
% apply(apply(s,k),X)),Y),apply(k,k))),k)) ->
% (false)
% Current number of equations to process: 3904
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [422]
% (eq)(k,apply(f(apply(apply(apply(apply(s,s),apply(apply(apply(apply(apply(s,s),X),s),s),k)),
% apply(k,k)),Y)),k)) -> (false)
% Current number of equations to process: 3917
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [423]
% (eq)(k,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),
% apply(s,k))),s),X),
% apply(k,k))),k)) -> (false)
% Current number of equations to process: 3928
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [424]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,apply(k,k)),
% apply(apply(s,k),Y)),X)),Z)),X))
% -> (false)
% Current number of equations to process: 3938
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [425]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(
% apply(s,s),Z),k)),Y)),Y))
% -> (false)
% Current number of equations to process: 3951
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [426]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),Y),apply(f(
% apply(
% apply(
% apply(
% apply(s,s),k),
% apply(s,
% apply(k,k))),
% apply(k,Y))),Y))
% -> (false)
% Current number of equations to process: 3969
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [427]
% (eq)(apply(apply(apply(apply(s,s),apply(k,X)),apply(s,k)),Y),apply(apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),k),
% f(
% apply(k,
% apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 3982
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [428]
% (eq)(apply(apply(apply(apply(s,s),apply(k,X)),apply(s,k)),Y),apply(f(
% apply(
% apply(
% apply(
% apply(s,s),
% apply(k,X)),
% apply(k,k)),Y)),
% apply(X,Y))) ->
% (false)
% Current number of equations to process: 3999
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [429]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),k),
% apply(apply(s,k),Y)),apply(k,X)),Z)))
% -> (false)
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [430]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Z)),Y)),Y)) ->
% (false)
% Current number of equations to process: 4031
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [431]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,apply(k,k))),X),Y),
% apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),Z)),apply(k,k))) ->
% (false)
% Current number of equations to process: 4049
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [432]
% (eq)(f(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,k)),apply(k,X)),Y)),
% apply(f(apply(apply(s,k),X)),f(apply(apply(s,k),X)))) -> (false)
% Current number of equations to process: 4064
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [433]
% (eq)(f(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,k)),X),k)),
% apply(f(apply(apply(apply(s,s),X),k)),f(apply(apply(apply(s,s),X),k)))) ->
% (false)
% Current number of equations to process: 4077
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [434]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,X)),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(
% apply(s,s),Z),k)),X)),X))
% -> (false)
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [435]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,X)),Y),apply(f(
% apply(
% apply(
% apply(
% apply(s,s),k),
% apply(s,
% apply(k,k))),
% apply(k,X))),X))
% -> (false)
% Current number of equations to process: 4103
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [436]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),k),k),X),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Y)),k)),k)) ->
% (false)
% Current number of equations to process: 4116
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [437]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(k,apply(k,k))),
% apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),X)),apply(k,k))) ->
% (false)
% Current number of equations to process: 4128
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [438]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),k),k),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(s,s)),k)),
% apply(apply(s,s),k)))
% -> (false)
% Current number of equations to process: 4134
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [439]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(apply(s,
% apply(k,s)),k),
% apply(k,X)),Y)),Z)),X))
% -> (false)
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [440]
% (eq)(apply(apply(X,Y),X),apply(f(apply(apply(apply(s,apply(k,k)),apply(
% apply(
% apply(s,s),k),X)),Y)),
% apply(apply(X,Y),X))) -> (false)
% Current number of equations to process: 4153
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [441]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),
% apply(s,s)),s),k),apply(k,k)),X)),X))
% -> (false)
% Current number of equations to process: 4189
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [442]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),
% apply(s,k)),apply(k,X)),apply(k,k))),X)) ->
% (false)
% Current number of equations to process: 4200
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [443]
% (eq)(apply(apply(apply(s,s),apply(k,k)),X),apply(f(apply(apply(apply(
% apply(
% apply(s,s),s),s),
% apply(k,k)),X)),
% apply(apply(s,X),k))) -> (false)
% Current number of equations to process: 4210
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [444]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(s,k)),apply(k,Y)),apply(k,X))))
% -> (false)
% Current number of equations to process: 4221
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [445]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),apply(k,apply(k,X))),
% apply(apply(apply(s,s),Y),s)),k))) ->
% (false)
% Current number of equations to process: 4232
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [446]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),X),apply(apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),k),
% f(
% apply(k,
% apply(X,X)))),X),X))
% -> (false)
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [447]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),X),apply(f(
% apply(
% apply(
% apply(
% apply(s,s),
% apply(k,X)),
% apply(k,k)),X)),
% apply(X,X))) ->
% (false)
% Current number of equations to process: 4252
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [448]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(k,apply(k,k))),
% apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),X)),apply(k,k))) ->
% (false)
% Current number of equations to process: 4261
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [449]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),
% apply(apply(s,s),Y)),s),
% apply(k,X)),k))) -> (false)
% Current number of equations to process: 4268
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [450]
% apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),X),Y),k) ->
% apply(Y,k)
% Rule
% [54]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),X),apply(k,Y)),k),
% apply(f(apply(k,Y)),Y)) -> (false) collapsed.
% Rule
% [94]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),
% apply(s,s)),Y),apply(k,X)),k)))
% -> (false) collapsed.
% Rule
% [123]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),X),apply(
% apply(s,k),Y)),k),
% apply(f(apply(k,k)),k)) -> (false) collapsed.
% Rule
% [261]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),X),apply(
% apply(
% apply(s,s),Y),k)),k),
% apply(f(apply(k,k)),k)) -> (false) collapsed.
% Current number of equations to process: 4279
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [451]
% (eq)(f(apply(apply(apply(apply(s,s),X),s),k)),apply(f(apply(apply(apply(
% apply(s,s),X),s),k)),
% f(apply(apply(apply(apply(s,s),X),s),k))))
% -> (false)
% Current number of equations to process: 4318
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [452] apply(apply(apply(apply(s,apply(k,k)),X),Y),Z) -> apply(X,Y)
% Rule
% [302]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,k)),k),X),Y),apply(apply(
% apply(s,
% apply(k,k)),k),X)),
% apply(f(apply(k,X)),X)) -> (false) collapsed.
% Rule
% [303]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,k)),k),X),Y),apply(k,apply(k,X))),
% apply(f(apply(k,X)),X)) -> (false) collapsed.
% Current number of equations to process: 4326
% Current number of ordered equations: 1
% Current number of rules: 427
% New rule produced :
% [453] apply(apply(apply(s,apply(k,X)),apply(k,Y)),Z) -> apply(X,Y)
% Rule
% [21]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),Y)),X)) -> (false)
% collapsed.
% Rule
% [37]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(k,Y)),Z),apply(f(apply(apply(
% apply(s,
% apply(k,k)),X),Y)),
% apply(X,Y))) -> (false)
% collapsed.
% Rule
% [46]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(k,Y)),Z),apply(f(apply(k,apply(X,Y))),
% apply(X,Y))) -> (false)
% collapsed.
% Rule
% [66]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,apply(k,X))),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),Y)),X)) -> (false)
% collapsed.
% Rule
% [92]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(s,apply(k,X)),
% apply(k,Y)),Z))) ->
% (false) collapsed.
% Rule
% [119]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(k,Y)),Z)),Y))
% -> (false) collapsed.
% Rule
% [121]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),Z)),Y)) -> (false)
% collapsed.
% Rule
% [126]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),Z)),Y)) -> (false)
% collapsed.
% Rule
% [138]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),X),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(k,X)),Y)),X))
% -> (false) collapsed.
% Rule
% [149]
% (eq)(X,apply(f(apply(apply(s,apply(s,k)),apply(apply(apply(s,apply(k,k)),
% apply(k,X)),Y))),X)) ->
% (false) collapsed.
% Rule
% [168]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,apply(k,k)),
% apply(k,X)),Y)),Z)),X))
% -> (false) collapsed.
% Rule
% [186]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(k,Y)),Z),apply(f(apply(apply(
% apply(
% apply(s,s),
% apply(k,X)),
% apply(k,k)),Y)),
% apply(X,Y))) -> (false)
% collapsed.
% Rule
% [194]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(k,Y)),Z),apply(apply(apply(
% apply(
% apply(s,
% apply(k,s)),k),
% f(apply(k,
% apply(X,Y)))),X),Y))
% -> (false) collapsed.
% Rule
% [196]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(k,apply(k,Y))),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),X)),Y)) -> (false)
% collapsed.
% Rule
% [204]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(k,Y)),Z)),Y))
% -> (false) collapsed.
% Rule
% [215]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(k,Y)),Z),apply(f(apply(k,apply(X,Y))),
% apply(apply(apply(s,
% apply(k,X)),
% apply(k,Y)),Z))) ->
% (false) collapsed.
% Rule
% [239]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(
% apply(
% apply(s,
% apply(k,X)),
% apply(k,Y)),Z)))
% -> (false) collapsed.
% Rule
% [270]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),Z)),Y)) -> (false)
% collapsed.
% Rule
% [277]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),Z)),Y)) -> (false)
% collapsed.
% Rule
% [298]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),Y),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),V_3)),X)) -> (false)
% collapsed.
% Rule
% [343]
% (eq)(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,apply(k,Y))),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,Y)),apply(X,Z))),Y)) ->
% (false) collapsed.
% Rule
% [353]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,X)),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(k,X)),Z)),X))
% -> (false) collapsed.
% Rule
% [357]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(k,X)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),Y)),X)) -> (false)
% collapsed.
% Rule
% [364]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),k),k),X),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,k)),Y)),k)) -> (false)
% collapsed.
% Rule
% [367]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(apply(apply(s,apply(k,k)),
% apply(k,X)),Y)),Z),
% apply(f(apply(k,X)),X)) -> (false) collapsed.
% Rule
% [407]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(k,X)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(k,X)),Y)),X)) -> (false)
% collapsed.
% Current number of equations to process: 4374
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [454]
% (eq)(apply(apply(apply(s,X),Y),Z),apply(f(apply(apply(apply(s,apply(k,k)),
% apply(X,Z)),apply(Y,Z))),
% apply(apply(X,Z),apply(Y,Z)))) -> (false)
% Current number of equations to process: 4420
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [455]
% (eq)(apply(apply(X,Y),apply(Z,Y)),apply(f(apply(apply(apply(s,apply(k,k)),
% apply(X,Y)),apply(Z,Y))),
% apply(apply(apply(s,X),Z),Y))) -> (false)
% Current number of equations to process: 4420
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [456]
% (eq)(apply(apply(apply(s,X),Y),Z),apply(f(apply(apply(apply(s,apply(k,k)),
% apply(apply(s,X),Y)),Z)),
% apply(apply(X,Z),apply(Y,Z)))) -> (false)
% Current number of equations to process: 4524
% Current number of ordered equations: 1
% Current number of rules: 405
% New rule produced :
% [457]
% (eq)(apply(apply(X,Y),apply(Z,Y)),apply(f(apply(apply(apply(s,apply(k,k)),
% apply(apply(s,X),Z)),Y)),
% apply(apply(apply(s,X),Z),Y))) -> (false)
% Current number of equations to process: 4524
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [458]
% (eq)(apply(X,Y),apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,
% apply(X,Y)))),
% apply(apply(s,apply(s,k)),X)),Y)) -> (false)
% Current number of equations to process: 4614
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [459]
% (eq)(X,apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),
% apply(apply(s,apply(s,k)),apply(k,X))),Y)) -> (false)
% Current number of equations to process: 4635
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [460]
% (eq)(apply(X,Y),apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),
% apply(k,X)),f(apply(k,apply(X,Y)))),Y)) ->
% (false)
% Current number of equations to process: 4645
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [461]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),
% apply(k,X)),
% apply(s,k))),Y)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 4661
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [462]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,apply(s,k)),Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),apply(Y,Z))),apply(X,apply(Y,Z))))
% -> (false)
% Current number of equations to process: 4679
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [463]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,apply(s,k)),apply(k,Y))),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 4695
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [464]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,apply(s,k)),apply(k,Y))),Z),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 4735
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [465]
% (eq)(apply(apply(apply(s,X),apply(k,Y)),apply(k,k)),apply(f(apply(apply(
% apply(
% apply(s,s),X),
% apply(k,k)),Y)),
% apply(apply(X,apply(k,k)),Y)))
% -> (false)
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [466]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),k),
% apply(k,Y)),Z),apply(f(apply(apply(apply(s,apply(k,k)),Z),Y)),
% apply(Z,Y))) -> (false)
% Current number of equations to process: 4797
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [467]
% (eq)(apply(k,k),apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(
% apply(
% apply(
% apply(s,
% apply(s,s)),k),k),X))),k),k))
% -> (false)
% Current number of equations to process: 4831
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [468]
% (eq)(apply(k,k),apply(f(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(s,s)),apply(k,k)),k),X)),
% apply(k,k))) -> (false)
% Current number of equations to process: 4836
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [469]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(apply(apply(s,s),Y),k)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [470]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(s,apply(s,s)),
% apply(k,k)),Y)),Z),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),X),Z)),
% apply(X,Z))) ->
% (false)
% Current number of equations to process: 4876
% Current number of ordered equations: 1
% Current number of rules: 419
% New rule produced :
% [471]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(s,s),Y),k)),Z),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Z)),apply(X,Z)))
% -> (false)
% Current number of equations to process: 4876
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [472]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,k))),X),
% apply(k,Y)),Z),apply(f(apply(k,apply(apply(X,Z),Y))),apply(
% apply(X,Z),Y)))
% -> (false)
% Current number of equations to process: 4923
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [473]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,k))),k),
% apply(k,X)),Y),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4924
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [474]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,k))),
% apply(s,k)),apply(k,X)),Y),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 4940
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [475]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,
% apply(s,k))),k),k),X),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4974
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [476]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),X),Y),apply(k,Z)),V_3),
% apply(f(apply(k,apply(apply(apply(X,Y),V_3),Z))),apply(apply(apply(X,Y),V_3),Z)))
% -> (false)
% Current number of equations to process: 4997
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [477]
% (eq)(apply(apply(apply(apply(s,s),k),X),apply(k,k)),apply(f(apply(apply(
% apply(
% apply(s,s),X),
% apply(k,k)),X)),
% apply(apply(X,apply(k,k)),X)))
% -> (false)
% Current number of equations to process: 2549
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [478]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,k)),
% apply(s,k))),X),apply(k,Y)),Z),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2576
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [479]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,X)),apply(k,Y)),
% apply(apply(s,k),Z)),apply(f(apply(k,apply(X,Y))),apply(X,Y))) ->
% (false)
% Current number of equations to process: 2592
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [480]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(k,Y)),Z),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 2620
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [481]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(k,Y)),Z),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),X)),apply(Y,X)))
% -> (false)
% Current number of equations to process: 2643
% Current number of ordered equations: 1
% Current number of rules: 430
% New rule produced :
% [482]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,apply(k,X))),apply(k,
% apply(k,Y))),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 2643
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [483]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(s,s),Y),k)),Z),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Z)))),X),Z))
% -> (false)
% Current number of equations to process: 2693
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [484]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,s)),X),
% apply(s,s)),apply(k,Y)),k),apply(f(apply(k,Y)),Y)) ->
% (false)
% Current number of equations to process: 2714
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [485]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,s)),
% apply(k,apply(k,X))),Y),k),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 2729
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [486]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,Y)),Z),
% apply(f(apply(k,apply(apply(apply(s,Y),Z),X))),apply(apply(Y,X),apply(Z,X))))
% -> (false)
% Current number of equations to process: 2742
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [487]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,
% apply(s,k)),Y)),Z),
% apply(f(apply(k,apply(apply(Y,Z),X))),apply(apply(Y,Z),X))) -> (false)
% Current number of equations to process: 2779
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [488]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,
% apply(s,k)),k)),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2780
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [489]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,
% apply(s,k)),
% apply(s,k))),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [490]
% (eq)(apply(apply(X,Y),apply(Z,Y)),apply(f(apply(apply(apply(s,apply(k,k)),
% apply(apply(s,X),Z)),Y)),
% apply(apply(X,Y),apply(Z,Y)))) -> (false)
% Current number of equations to process: 2839
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced :
% [491]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(X,Y)),Z),Y),
% apply(f(apply(k,apply(apply(apply(s,X),Z),Y))),apply(apply(X,Y),apply(Z,Y))))
% -> (false)
% Current number of equations to process: 2839
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [492]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),Y),X),
% apply(f(apply(k,apply(Y,X))),apply(Y,X))) -> (false)
% Current number of equations to process: 2907
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [493]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(apply(s,s),X),k)),Y),k),
% apply(f(apply(k,apply(Y,k))),apply(Y,k))) -> (false)
% Current number of equations to process: 2912
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [494]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),Y),X),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),X)),apply(Y,X))) -> (false)
% Current number of equations to process: 2955
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [495]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),Y),k),
% apply(f(apply(k,apply(Y,k))),apply(Y,k))) -> (false)
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [496]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),Y),k),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),k)),apply(Y,k))) -> (false)
% Current number of equations to process: 3023
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [497]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(k,Y)),
% apply(apply(apply(s,s),Z),k)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3045
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [498]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(k,X)),
% apply(apply(apply(s,s),Y),k)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [499]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,s)),k)),X),Y),
% apply(k,Z)),apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 3068
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [500]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,apply(s,k)),X)),
% apply(k,Y)),Z),apply(f(apply(k,apply(X,Y))),apply(X,Y))) ->
% (false)
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [501]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(k,Y)),Z),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 3124
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [502]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),
% apply(k,apply(k,X))),Y),Z),apply(f(apply(k,apply(Y,X))),
% apply(Y,X))) -> (false)
% Current number of equations to process: 3148
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [503]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),apply(k,
% apply(k,X))),Y),
% apply(k,Z)),apply(f(apply(k,apply(Z,X))),apply(Z,X))) -> (false)
% Current number of equations to process: 3175
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [504]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(s,
% apply(k,k)),
% apply(s,k)),Y)),Z),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3203
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [505]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(k,Y)),Z),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,X)))),Y),X))
% -> (false)
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [506]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,apply(k,k)),
% apply(apply(s,s),X)),k)),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3244
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [507]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,apply(k,k)),X),Y)),Z),
% apply(f(apply(k,apply(apply(X,Y),Z))),apply(apply(X,Y),Z))) -> (false)
% Current number of equations to process: 3258
% Current number of ordered equations: 1
% Current number of rules: 456
% New rule produced :
% [508]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,s)),s),k),
% apply(k,X)),Y),apply(f(apply(k,apply(X,Y))),apply(X,Y))) ->
% (false)
% Current number of equations to process: 3258
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [509]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,apply(X,Y))),Z),
% apply(f(apply(k,apply(apply(X,Y),Z))),apply(apply(apply(s,X),apply(k,Z)),Y)))
% -> (false)
% Current number of equations to process: 3324
% Current number of ordered equations: 1
% Current number of rules: 458
% New rule produced :
% [510]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),apply(s,k)),
% apply(k,X)),apply(k,Y)),apply(f(apply(k,apply(Y,X))),apply(Y,X)))
% -> (false)
% Current number of equations to process: 3324
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [511]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,s)),k),s),X),
% apply(k,Y)),apply(f(apply(k,apply(s,Y))),apply(s,Y))) -> (false)
% Current number of equations to process: 3381
% Current number of ordered equations: 2
% Current number of rules: 460
% New rule produced :
% [512]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),X),
% apply(k,Y)),apply(k,Z)),apply(f(apply(k,apply(Y,Z))),apply(Y,Z)))
% -> (false)
% Current number of equations to process: 3381
% Current number of ordered equations: 1
% Current number of rules: 461
% New rule produced :
% [513]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,s)),s)),
% apply(k,X)),k),Y),apply(f(apply(k,apply(X,Y))),apply(X,Y)))
% -> (false)
% Current number of equations to process: 3381
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [514]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(apply(s,s),X),k)),
% apply(apply(s,k),Y)),Z),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 3448
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [515]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(apply(apply(
% apply(s,s),Y),s),k)),Z),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 3462
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [516]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(apply(s,apply(s,s)),
% apply(k,s)),Y),k)),Z),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 3488
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [517]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,
% apply(s,s))),k),s),s),k),X),k),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3510
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [518]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,k),Y)),
% apply(apply(apply(s,s),Z),k)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3520
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [519]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,apply(s,k))),
% apply(apply(apply(s,s),Y),k)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3535
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [520]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(X,Y)),Z),Y),
% apply(f(apply(k,apply(apply(apply(s,X),Z),Y))),apply(apply(apply(s,X),Z),Y)))
% -> (false)
% Current number of equations to process: 3543
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [521]
% (eq)(apply(apply(X,Y),apply(Z,Y)),apply(f(apply(k,apply(apply(apply(s,X),Z),Y))),
% apply(apply(apply(apply(s,s),apply(k,Z)),X),Y)))
% -> (false)
% Current number of equations to process: 3573
% Current number of ordered equations: 1
% Current number of rules: 470
% New rule produced :
% [522]
% (eq)(apply(apply(X,Y),apply(Z,Y)),apply(f(apply(k,apply(apply(apply(s,X),Z),Y))),
% apply(apply(apply(s,apply(s,X)),apply(k,Y)),Z)))
% -> (false)
% Current number of equations to process: 3573
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [523]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(s,s),
% apply(k,X)),
% apply(s,k)),Y))) ->
% (false)
% Current number of equations to process: 3588
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [524]
% (eq)(apply(X,k),apply(f(apply(k,apply(X,k))),apply(apply(apply(apply(s,s),
% apply(k,X)),
% apply(apply(s,s),Y)),k)))
% -> (false)
% Current number of equations to process: 3593
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [525]
% (eq)(apply(X,k),apply(f(apply(k,apply(X,k))),apply(apply(apply(apply(s,
% apply(s,s)),
% apply(s,s)),
% apply(k,X)),k))) ->
% (false)
% Current number of equations to process: 3675
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [526]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(
% apply(s,
% apply(k,s)),
% apply(s,k)),Z),
% apply(k,Y)),X))) ->
% (false)
% Current number of equations to process: 3686
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [527]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),
% apply(s,k)),Y),apply(k,Z)),
% apply(k,X)))) -> (false)
% Current number of equations to process: 3714
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [528]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(
% apply(s,
% apply(k,s)),s),
% apply(s,k)),
% apply(k,Y)),X))) ->
% (false)
% Current number of equations to process: 3729
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [529]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,s)),s),k),
% apply(k,apply(k,X))),Y),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3751
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [530]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(apply(s,apply(k,k)),k),
% apply(k,X))),apply(s,k)),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3763
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [531]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,
% apply(s,s)),k),s)),k),k),k),X),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 3776
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [532]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,s)),
% apply(s,k)),k),apply(k,X)),Y),apply(f(apply(k,X)),X))
% -> (false)
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [533]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),X),
% apply(k,apply(k,Y))),apply(k,Z)),apply(f(apply(k,Y)),Y)) ->
% (false)
% Current number of equations to process: 3797
% Current number of ordered equations: 1
% Current number of rules: 482
% New rule produced :
% [534]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,s)),s)),
% apply(k,apply(k,X))),k),Y),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [535]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(apply(apply(s,
% apply(k,k)),k),X)),Y),
% apply(k,Z)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3823
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [536]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),Y),
% apply(k,k)),s),Z)),apply(f(apply(k,apply(X,Z))),
% apply(X,Z))) -> (false)
% Current number of equations to process: 3833
% Current number of ordered equations: 1
% Current number of rules: 485
% New rule produced :
% [537]
% (eq)(apply(X,apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),Y)),s),
% apply(k,Z)),k)),apply(f(apply(k,apply(X,Z))),apply(X,Z)))
% -> (false)
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [538]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(s,
% apply(s,s)),
% apply(k,s)),Y)),k),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3887
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [539]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,k)),apply(k,apply(k,X))),
% apply(apply(apply(s,s),Y),k)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3901
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [540]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,k)),apply(apply(apply(s,
% apply(k,k)),k),X)),Y),
% apply(f(apply(k,apply(Y,X))),apply(Y,X))) -> (false)
% Current number of equations to process: 3913
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [541]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(
% apply(s,
% apply(k,s)),s),
% apply(k,X)),Z),
% apply(k,Y)))) -> (false)
% Current number of equations to process: 3940
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [542]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(k,apply(k,X))),Y),apply(k,Z))))
% -> (false)
% Current number of equations to process: 3967
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [543]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(s,s),Y),s),s),k),Z)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Z)))),X),Z))
% -> (false)
% Current number of equations to process: 3982
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [544]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(apply(s,s),Y),s),k)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Z)),Z)),apply(apply(X,Z),Z)))
% -> (false)
% Current number of equations to process: 4006
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [545]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,Y)),apply(apply(apply(apply(s,s),Z),s),k)),
% apply(f(apply(k,apply(apply(X,Y),Y))),apply(apply(X,Y),Y))) -> (false)
% Current number of equations to process: 4036
% Current number of ordered equations: 1
% Current number of rules: 494
% New rule produced :
% [546]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),Y),k)),Z),
% apply(f(apply(k,apply(apply(X,Z),Z))),apply(apply(X,Z),Z))) -> (false)
% Current number of equations to process: 4068
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [547]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,k)),apply(apply(apply(s,
% apply(k,k)),k),X)),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4101
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [548]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),apply(Y,Z)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,Z)))),Y),Z))
% -> (false)
% Current number of equations to process: 4114
% Current number of ordered equations: 1
% Current number of rules: 497
% New rule produced :
% [549]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),
% apply(s,s)),X),Y),s),s),k),Z),
% apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 4114
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [550]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),Y),apply(apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),k),
% f(
% apply(k,Y))),
% apply(k,Y)),Z))
% -> (false)
% Current number of equations to process: 4139
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [551]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),
% apply(k,s)),apply(k,k)),X),Y),apply(f(apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 4172
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [552]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),s),
% apply(apply(apply(s,s),Y),k)),k),apply(f(apply(k,k)),k)) ->
% (false)
% Current number of equations to process: 4186
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [553]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(apply(apply(apply(s,s),Y),s),s),s),k)),Z),
% apply(f(apply(k,apply(apply(X,Z),Z))),apply(apply(X,Z),Z))) -> (false)
% Current number of equations to process: 4196
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [554]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(apply(apply(apply(s,s),Y),s),s),s),k)),Z),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 4230
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [555]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),
% apply(k,s)),Y),s),s),k),Z)),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 4253
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [556]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(apply(apply(s,s),Y),s),s),k)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 4279
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [557]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(s,s),Y),s),s),k),Z)),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Z)),apply(X,Z)))
% -> (false)
% Current number of equations to process: 4303
% Current number of ordered equations: 1
% Current number of rules: 506
% New rule produced :
% [558]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),Y),s),k),Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [559]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(apply(apply(s,s),Y),k)),Z),
% apply(f(apply(k,apply(apply(apply(s,X),Z),Z))),apply(apply(X,Z),apply(Z,Z))))
% -> (false)
% Current number of equations to process: 4365
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [560]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(
% apply(
% apply(s,s),Y),k)),Z),
% apply(f(apply(k,apply(Z,Z))),apply(Z,Z))) -> (false)
% Current number of equations to process: 4391
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [561]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(
% apply(
% apply(s,s),X),k)),Y),
% apply(f(apply(k,apply(Y,Y))),apply(Y,Y))) -> (false)
% Current number of equations to process: 4408
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [562]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(apply(s,s),X),s),s)),s),Y),k),
% apply(f(apply(k,apply(Y,k))),apply(Y,k))) -> (false)
% Current number of equations to process: 4420
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [563]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),X),
% apply(k,s)),s),s),k),Y),apply(f(apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 4435
% Current number of ordered equations: 3
% Current number of rules: 512
% New rule produced :
% [564]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),s),
% apply(k,s)),s),k),Y),apply(f(apply(k,Y)),Y)) ->
% (false)
% Current number of equations to process: 4435
% Current number of ordered equations: 2
% Current number of rules: 513
% New rule produced :
% [565]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),s)),s),
% apply(k,k)),s),Y),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4435
% Current number of ordered equations: 1
% Current number of rules: 514
% New rule produced :
% [566]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(apply(s,s),X),s),s)),s),
% apply(k,Y)),k),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4435
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [567]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(s,s)),X),apply(k,s)),s),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4493
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [568]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),k),
% apply(Y,Z)),apply(f(apply(apply(apply(s,apply(k,k)),Y),Z)),apply(Y,Z)))
% -> (false)
% Current number of equations to process: 4509
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [569]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),s)),s),Y),k),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),k)),apply(Y,k))) -> (false)
% Current number of equations to process: 4545
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [570]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),apply(Y,Z)),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),Z)),apply(Y,Z)))
% -> (false)
% Current number of equations to process: 4570
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [571]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),k),
% apply(apply(s,k),Y)),Z),apply(f(apply(k,apply(Z,Z))),apply(Z,Z)))
% -> (false)
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [572]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,X)),
% apply(s,k)),Y),Z),apply(f(apply(k,apply(apply(X,Z),Z))),
% apply(apply(X,Z),Z))) -> (false)
% Current number of equations to process: 4608
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [573]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,k)),
% apply(s,k)),X),Y),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4609
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [574]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,apply(s,k))),
% apply(s,k)),X),Y),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4622
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [575]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),k),
% apply(Y,Z)),apply(f(apply(apply(apply(s,apply(k,k)),Y),Z)),apply(Y,Z)))
% -> (false)
% Current number of equations to process: 4670
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [576]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,s)),s),k),X),Y),
% apply(f(apply(k,apply(apply(X,Y),Y))),apply(apply(X,Y),Y))) -> (false)
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [577]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,s)),s),k),k),X),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [578]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),apply(s,k)),
% apply(k,X)),Y),apply(f(apply(k,apply(apply(Y,X),X))),apply(
% apply(Y,X),X)))
% -> (false)
% Current number of equations to process: 4752
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [579]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,X)),apply(s,k)),
% apply(k,Y)),apply(f(apply(k,apply(apply(X,Y),Y))),apply(apply(X,Y),Y)))
% -> (false)
% Current number of equations to process: 4784
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [580]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(s,k)),
% apply(k,X)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4785
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [581]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,apply(s,k))),
% apply(s,k)),apply(k,X)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4798
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [582]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),X),apply(k,Y)),apply(
% apply(s,k),Z)),
% apply(f(apply(k,apply(apply(X,Y),Y))),apply(apply(X,Y),Y))) -> (false)
% Current number of equations to process: 4837
% Current number of ordered equations: 1
% Current number of rules: 531
% New rule produced :
% [583]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,Y)),apply(apply(s,k),Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Y)),Y)),apply(apply(X,Y),Y)))
% -> (false)
% Current number of equations to process: 4837
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [584]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,Y)),apply(
% apply(s,k),Z)),
% apply(f(apply(k,apply(apply(Y,X),X))),apply(apply(Y,X),X))) -> (false)
% Current number of equations to process: 4901
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [585]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),
% apply(k,s)),X),s),s),s),s),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4932
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [586]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),apply(X,Y)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 4945
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [587]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),X),apply(apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),k),
% f(
% apply(k,X))),
% apply(k,X)),Y))
% -> (false)
% Current number of equations to process: 4969
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [588]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,s)),s),k),
% apply(apply(s,s),X)),k),apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 4983
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced :
% [589]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(apply(s,apply(k,k)),
% apply(s,s)),X)),apply(s,k)),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 4991
% Current number of ordered equations: 1
% Current number of rules: 538
% New rule produced :
% [590]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),apply(s,k)),
% apply(k,k)),apply(apply(s,s),X)),apply(f(apply(k,k)),k)) ->
% (false)
% Current number of equations to process: 4991
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [591]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,k),X)),Y),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,Y)))),Y),Y))
% -> (false)
% Current number of equations to process: 662
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [592]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,apply(s,s)),
% apply(k,k)),X)),Y),
% apply(f(apply(k,apply(Y,Y))),apply(Y,Y))) -> (false)
% Current number of equations to process: 676
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [593]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,X)),apply(s,k)),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Y)),Y)),apply(apply(X,Y),Y)))
% -> (false)
% Current number of equations to process: 690
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [594]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),
% apply(k,apply(s,k))),apply(s,s)),k),apply(f(apply(k,k)),k))
% -> (false)
% Current number of equations to process: 715
% Current number of ordered equations: 1
% Current number of rules: 543
% New rule produced :
% [595]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),
% apply(s,s)),apply(k,k)),apply(s,k)),apply(f(apply(k,k)),k))
% -> (false)
% Current number of equations to process: 715
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [596]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,k),X)),apply(k,
% apply(Y,Z))),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),Z)),apply(Y,Z))) -> (false)
% Current number of equations to process: 730
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [597]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,k),X)),apply(k,Y)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Z)),Y)),Y)) ->
% (false)
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [598]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),apply(X,Y)),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 775
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [599]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,k),X)),Y),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),Y)),apply(Y,Y)))
% -> (false)
% Current number of equations to process: 797
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [600]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,apply(s,s)),
% apply(k,k)),X)),apply(k,Y)),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [601]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(apply(s,
% apply(s,s)),
% apply(k,s)),X),s)),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 824
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [602]
% (eq)(apply(X,f(apply(apply(apply(s,s),apply(k,X)),apply(s,k)))),apply(
% f(apply(
% apply(s,
% apply(s,k)),X)),
% apply(X,
% f(apply(
% apply(s,
% apply(s,k)),X)))))
% -> (false)
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [603]
% (eq)(apply(X,Y),apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(
% apply(s,
% apply(s,k)),
% apply(k,
% apply(X,Y))))),X),Y))
% -> (false)
% Current number of equations to process: 849
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [604]
% (eq)(X,apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(apply(s,
% apply(s,k)),
% apply(k,X)))),
% apply(k,X)),Y)) -> (false)
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [605]
% (eq)(apply(X,Y),apply(f(apply(apply(s,apply(s,k)),apply(apply(apply(apply(s,s),
% apply(k,X)),
% apply(k,k)),Y))),
% apply(X,Y))) -> (false)
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [606]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(s,s),apply(s,k))),apply(
% apply(
% apply(s,
% apply(k,k)),k),X)),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [607] apply(apply(apply(apply(s,apply(s,s)),s),k),X) -> apply(s,k)
% Current number of equations to process: 910
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [608]
% (eq)(apply(X,apply(s,apply(k,k))),apply(f(apply(apply(apply(apply(s,s),k),
% apply(s,apply(k,k))),X)),
% apply(X,apply(s,apply(k,k))))) -> (false)
% Current number of equations to process: 951
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [609]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(apply(s,apply(k,s)),k),X)),
% apply(k,Y)),apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 976
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [610]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),
% apply(s,k)),apply(k,X)),Y),apply(f(apply(k,apply(Y,X))),
% apply(Y,X))) -> (false)
% Current number of equations to process: 999
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [611]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,apply(X,Y))),X),
% apply(f(apply(k,apply(apply(X,Y),X))),apply(apply(apply(apply(s,s),k),X),Y)))
% -> (false)
% Current number of equations to process: 1026
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [612]
% (eq)(apply(apply(apply(apply(apply(s,s),k),apply(apply(s,apply(k,s)),s)),
% apply(k,X)),apply(k,Y)),apply(f(apply(k,apply(X,Y))),apply(X,Y)))
% -> (false)
% Current number of equations to process: 1055
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [613]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),
% apply(s,k)),apply(k,X)),apply(k,Y)),apply(f(apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 1079
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [614]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(apply(apply(s,
% apply(s,s)),k),s),k)),k),
% apply(k,X)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1093
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [615]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(apply(apply(s,
% apply(s,s)),k),s),k)),k),X),
% apply(f(apply(k,apply(X,X))),apply(X,X))) -> (false)
% Current number of equations to process: 1103
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [616]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(apply(s,apply(k,s)),k),
% apply(apply(s,k),X))),apply(k,Y)),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [617]
% (eq)(apply(apply(apply(apply(apply(s,s),k),apply(apply(s,apply(k,s)),s)),
% apply(k,apply(k,X))),apply(k,Y)),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 1125
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [618]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(apply(s,s),Y),s),k)),X),
% apply(f(apply(k,apply(apply(X,X),X))),apply(apply(apply(apply(s,s),k),X),X)))
% -> (false)
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced :
% [619]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),
% apply(s,s)),apply(k,k)),s),X),apply(f(apply(k,X)),X))
% -> (false)
% Current number of equations to process: 1148
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [620]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),k),Y),
% apply(f(apply(apply(apply(apply(s,s),k),apply(s,apply(k,k))),apply(k,Y))),Y))
% -> (false)
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [621]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),
% apply(s,s)),apply(apply(s,k),X)),k),apply(f(apply(k,k)),k))
% -> (false)
% Current number of equations to process: 1175
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [622]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,X)),apply(apply(s,k),Y)),
% apply(f(apply(k,apply(apply(X,X),X))),apply(apply(apply(apply(s,s),k),X),X)))
% -> (false)
% Current number of equations to process: 1185
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [623]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),k),Y),
% apply(f(apply(apply(apply(apply(s,s),k),apply(s,apply(k,k))),apply(k,Y))),Y))
% -> (false)
% Current number of equations to process: 1197
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [624]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,X)),apply(s,k)),X),
% apply(f(apply(k,apply(apply(X,X),X))),apply(apply(apply(apply(s,s),k),X),X)))
% -> (false)
% Current number of equations to process: 1212
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [625]
% (eq)(apply(apply(apply(apply(s,s),k),apply(s,apply(k,X))),apply(k,Y)),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 1222
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [626]
% (eq)(apply(apply(apply(apply(s,s),k),apply(s,apply(k,X))),apply(k,Y)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 1243
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [627]
% (eq)(apply(apply(apply(apply(s,apply(k,X)),k),k),Y),apply(f(apply(apply(
% apply(
% apply(s,s),X),
% apply(k,k)),Y)),
% apply(apply(X,apply(k,k)),Y)))
% -> (false)
% Current number of equations to process: 1261
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [628]
% (eq)(apply(k,k),apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(
% apply(s,
% apply(s,s)),k),k),X)),Y)),
% apply(k,k))) -> (false)
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [629]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(k,s)),k),s),k),k),X),Y),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 1284
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [630]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(apply(apply(s,
% apply(k,s)),s),
% apply(k,s)),k)),k),X),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 1297
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [631]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,
% apply(s,s)),k),s)),k),k),X),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Rule
% [531]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,
% apply(s,s)),k),s)),k),k),k),X),
% apply(f(apply(k,k)),k)) -> (false) collapsed.
% Current number of equations to process: 1306
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [632]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),k),apply(apply(apply(s,
% apply(s,s)),k),s)),k),
% apply(k,X)),Y),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1318
% Current number of ordered equations: 1
% Current number of rules: 580
% New rule produced :
% [633]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(apply(apply(apply(s,
% apply(s,s)),k),s),k),X)),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1318
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [634]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(apply(s,
% apply(k,k)),X),Y)),Z),V_3),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 1345
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [635]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,s)),
% apply(k,apply(k,X))),k),Y),Z),apply(f(apply(k,X)),X))
% -> (false)
% Current number of equations to process: 1376
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [636]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),
% apply(s,apply(s,s))),k),k),X),apply(f(apply(k,k)),k))
% -> (false)
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [637]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),k),apply(apply(
% apply(s,
% apply(k,s)),k),
% apply(k,X))),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 585
% New rule produced :
% [638]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,k)),k),X),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),X)),apply(Y,X))) -> (false)
% Current number of equations to process: 1411
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [639]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),k),apply(k,X)),
% apply(f(apply(apply(apply(s,apply(k,k)),X),apply(k,X))),apply(X,apply(k,X))))
% -> (false)
% Current number of equations to process: 1446
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [640]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(apply(s,apply(k,k)),k),
% apply(X,Y))),Z),apply(f(apply(apply(
% apply(s,
% apply(k,k)),X),Y)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 1462
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [641]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(apply(s,apply(k,k)),k),X)),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Z)),X)),X)) ->
% (false)
% Current number of equations to process: 1491
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [642]
% (eq)(apply(apply(apply(apply(s,s),k),apply(k,apply(k,X))),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(s,k),Z)),X)),X))
% -> (false)
% Current number of equations to process: 1495
% Current number of ordered equations: 0
% Current number of rules: 590
% New rule produced :
% [643]
% (eq)(apply(apply(apply(apply(s,s),k),apply(k,apply(k,X))),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(
% apply(s,s),Z),k)),X)),X))
% -> (false)
% Current number of equations to process: 1521
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [644]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),k),apply(k,apply(k,X))),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Y)),X)),X)) ->
% (false)
% Current number of equations to process: 1520
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [645]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),k),X),apply(
% apply(
% apply(s,
% apply(k,k)),k),Y)),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1551
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced :
% [646]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,s)),X),k),
% apply(k,apply(k,Y))),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1562
% Current number of ordered equations: 1
% Current number of rules: 594
% New rule produced :
% [647]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,s)),
% apply(s,s))),k),k),apply(k,X)),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1562
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [648]
% (eq)(apply(apply(apply(apply(apply(s,s),k),apply(apply(s,apply(k,s)),
% apply(s,s))),k),apply(k,apply(k,X))),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1587
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [649]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),
% apply(s,k)),X),Y),apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 1592
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [650]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),X),apply(k,Y)),Z),
% apply(f(apply(k,apply(apply(apply(s,X),Z),Y))),apply(apply(X,Y),apply(Z,Y))))
% -> (false)
% Current number of equations to process: 1627
% Current number of ordered equations: 0
% Current number of rules: 598
% New rule produced :
% [651]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(apply(s,s),X)),
% apply(k,k)),Y),apply(f(apply(k,apply(Y,k))),apply(Y,k))) ->
% (false)
% Current number of equations to process: 1647
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [652]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),s)),k),
% apply(k,Y)),Z),apply(f(apply(k,apply(Z,Y))),apply(Z,Y))) ->
% (false)
% Current number of equations to process: 1679
% Current number of ordered equations: 1
% Current number of rules: 600
% New rule produced :
% [653]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(s,s),X)),k),k),Y),
% apply(f(apply(k,apply(Y,k))),apply(Y,k))) -> (false)
% Current number of equations to process: 1679
% Current number of ordered equations: 0
% Current number of rules: 601
% New rule produced :
% [654]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),k),
% apply(k,Y)),apply(apply(s,k),Z)),apply(f(apply(k,Y)),Y)) ->
% (false)
% Current number of equations to process: 1726
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [655]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,
% apply(k,s)),k)),
% apply(s,k)),X),k),Y),apply(f(apply(k,Y)),Y)) ->
% (false)
% Current number of equations to process: 1740
% Current number of ordered equations: 0
% Current number of rules: 603
% New rule produced :
% [656]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,k)),k),X),
% apply(Y,Z)),apply(f(apply(apply(apply(s,apply(k,k)),Y),Z)),apply(Y,Z)))
% -> (false)
% Current number of equations to process: 1753
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [657]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,k)),k),X),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Z)),Y)),Y)) ->
% (false)
% Current number of equations to process: 1792
% Current number of ordered equations: 0
% Current number of rules: 605
% New rule produced :
% [658]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),
% apply(k,k)),apply(s,k)),X),Y),apply(f(apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 1815
% Current number of ordered equations: 0
% Current number of rules: 606
% New rule produced :
% [659]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,
% apply(k,k)),s)),
% apply(s,k)),k),X),Y),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 1830
% Current number of ordered equations: 0
% Current number of rules: 607
% New rule produced :
% [660]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),
% apply(apply(apply(s,s),Y),k)),Z),apply(f(apply(k,Z)),Z)) ->
% (false)
% Current number of equations to process: 1839
% Current number of ordered equations: 0
% Current number of rules: 608
% New rule produced :
% [661]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),Y),
% apply(k,k)),Z)),apply(f(apply(k,apply(X,Z))),apply(X,Z)))
% -> (false)
% Current number of equations to process: 1852
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [662]
% (eq)(apply(X,apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),Y),Z)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Z)))),X),Z))
% -> (false)
% Current number of equations to process: 1880
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [663]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),apply(Y,Z)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,Z)))),Y),Z))
% -> (false)
% Current number of equations to process: 1904
% Current number of ordered equations: 0
% Current number of rules: 611
% New rule produced :
% [664]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),Y),apply(apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),k),
% f(
% apply(k,Y))),
% apply(k,Y)),Z))
% -> (false)
% Current number of equations to process: 1928
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [665]
% (eq)(apply(X,apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),Y),Z)),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Z)),apply(X,Z)))
% -> (false)
% Current number of equations to process: 1943
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [666]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(k,s)),s),s),X),apply(k,k)),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1966
% Current number of ordered equations: 2
% Current number of rules: 614
% New rule produced :
% [667]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),X),
% apply(s,s)),apply(k,k)),Y),apply(f(apply(k,Y)),Y)) ->
% (false)
% Current number of equations to process: 1966
% Current number of ordered equations: 1
% Current number of rules: 615
% New rule produced :
% [668]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,
% apply(k,s)),s)),
% apply(s,s)),k),k),X),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 1966
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [669]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),k),apply(apply(s,apply(k,s)),s)),
% apply(s,s)),apply(k,k)),X),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 2007
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [670]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),
% apply(k,k)),X),Y),apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 2018
% Current number of ordered equations: 0
% Current number of rules: 618
% New rule produced :
% [671]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),apply(Y,Z)),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),Z)),apply(Y,Z)))
% -> (false)
% Current number of equations to process: 2052
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [672]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,s)),k),k),X),
% apply(f(apply(k,apply(apply(X,k),X))),apply(apply(X,k),X))) -> (false)
% Current number of equations to process: 2074
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [673]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),k),X),
% apply(k,Y)),apply(f(apply(k,apply(apply(X,X),Y))),apply(apply(X,X),Y)))
% -> (false)
% Current number of equations to process: 2097
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [674]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),k),k),
% apply(k,X)),apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 2097
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [675]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(apply(s,k),X)),
% apply(k,Y)),apply(k,Z)),apply(f(apply(k,apply(Y,Z))),apply(Y,Z)))
% -> (false)
% Current number of equations to process: 2123
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [676]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,apply(s,k))),
% apply(k,X)),apply(k,Y)),apply(f(apply(k,apply(X,Y))),apply(X,Y)))
% -> (false)
% Current number of equations to process: 2152
% Current number of ordered equations: 0
% Current number of rules: 624
% New rule produced :
% [677]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(
% apply(s,s),Y),s),k)),Z),
% apply(f(apply(k,apply(Z,X))),apply(Z,X))) -> (false)
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 625
% New rule produced :
% [678]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(s,s),Y),k)),
% apply(apply(s,k),Z)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 626
% New rule produced :
% [679]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(s,s),Y),k)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),Z),X)),apply(Z,X))) -> (false)
% Current number of equations to process: 2219
% Current number of ordered equations: 0
% Current number of rules: 627
% New rule produced :
% [680]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),k),
% apply(k,X)),Y),apply(f(apply(k,apply(apply(X,Y),X))),apply(
% apply(X,Y),X)))
% -> (false)
% Current number of equations to process: 2252
% Current number of ordered equations: 0
% Current number of rules: 628
% New rule produced :
% [681]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,k)),k),X),
% apply(apply(s,k),Y)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2282
% Current number of ordered equations: 0
% Current number of rules: 629
% New rule produced :
% [682]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(apply(
% apply(s,s),X),s),k)),
% apply(k,Y)),Z),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2287
% Current number of ordered equations: 0
% Current number of rules: 630
% New rule produced :
% [683]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),
% apply(s,k)),apply(apply(s,k),X)),Y),apply(f(apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 2302
% Current number of ordered equations: 0
% Current number of rules: 631
% New rule produced :
% [684]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,X)),apply(k,Y)),Z),
% apply(f(apply(k,apply(apply(apply(s,X),Y),Z))),apply(apply(X,Z),apply(Y,Z))))
% -> (false)
% Current number of equations to process: 2303
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [685]
% (eq)(apply(apply(apply(s,X),Y),Z),apply(f(apply(apply(apply(s,apply(k,k)),
% apply(X,Z)),apply(Y,Z))),
% apply(apply(apply(s,X),Y),Z))) -> (false)
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 633
% New rule produced :
% [686]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,s)),k),X),
% apply(s,k)),Y),apply(f(apply(k,apply(X,Y))),apply(X,Y))) ->
% (false)
% Current number of equations to process: 2385
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [687]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),apply(k,X)),
% apply(k,Y)),apply(s,k)),apply(f(apply(k,apply(X,Y))),apply(X,Y)))
% -> (false)
% Current number of equations to process: 2412
% Current number of ordered equations: 0
% Current number of rules: 635
% New rule produced :
% [688]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(
% apply(
% apply(s,s),Y),s),s),s)),k),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 636
% New rule produced :
% [689]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(
% apply(s,s),Y),s),k)),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [690]
% (eq)(apply(X,X),apply(f(apply(k,apply(X,X))),apply(apply(apply(apply(
% apply(
% apply(
% apply(s,
% apply(s,s)),k),s),k),k),X),Y)))
% -> (false)
% Current number of equations to process: 2461
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [691]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),Z),k)),Y)),Y))
% -> (false)
% Current number of equations to process: 2470
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [692]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(
% apply(s,s),X),s)),k),s),k),
% apply(f(apply(k,s)),s)) -> (false)
% Current number of equations to process: 2488
% Current number of ordered equations: 0
% Current number of rules: 640
% New rule produced :
% [693]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),s)),s),
% apply(apply(s,k),Y)),k),apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 2496
% Current number of ordered equations: 0
% Current number of rules: 641
% New rule produced :
% [694]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),
% apply(s,s)),k),s),s),k),X),apply(f(
% apply(k,X)),X))
% -> (false)
% Current number of equations to process: 2506
% Current number of ordered equations: 0
% Current number of rules: 642
% New rule produced :
% [695]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(s,s),X)),
% apply(s,k)),s),k),apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 2513
% Current number of ordered equations: 0
% Current number of rules: 643
% New rule produced :
% [696]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(apply(apply(apply(s,s),Y),s),s),s),s),s),k),Z)),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 2521
% Current number of ordered equations: 0
% Current number of rules: 644
% New rule produced :
% [697]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(apply(apply(s,s),Y),s),s),s),s),k),Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 2547
% Current number of ordered equations: 0
% Current number of rules: 645
% New rule produced :
% [698]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),Z),k)),Y)),Y))
% -> (false)
% Current number of equations to process: 2584
% Current number of ordered equations: 0
% Current number of rules: 646
% New rule produced :
% [699]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,s)),
% apply(apply(s,s),X)),k),k),apply(f(apply(k,k)),k)) ->
% (false)
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [700]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,k)),
% apply(s,k)),X),Y),apply(f(apply(k,apply(Y,Y))),apply(Y,Y)))
% -> (false)
% Current number of equations to process: 2604
% Current number of ordered equations: 0
% Current number of rules: 648
% New rule produced :
% [701]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(
% apply(s,k),Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),Z),Z)),apply(Z,Z))) -> (false)
% Current number of equations to process: 2617
% Current number of ordered equations: 0
% Current number of rules: 649
% New rule produced :
% [702]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(
% apply(s,k),X)),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),Y)),apply(Y,Y))) -> (false)
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 650
% New rule produced :
% [703]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),
% apply(apply(s,k),X))),Y),
% apply(f(apply(k,apply(Y,Y))),apply(Y,Y))) -> (false)
% Current number of equations to process: 2643
% Current number of ordered equations: 0
% Current number of rules: 651
% New rule produced :
% [704]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(s,s),apply(k,X))),
% apply(s,k)),Y),apply(f(apply(k,apply(apply(X,Y),Y))),apply(
% apply(X,Y),Y)))
% -> (false)
% Current number of equations to process: 2657
% Current number of ordered equations: 0
% Current number of rules: 652
% New rule produced :
% [705]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(s,s),apply(k,k))),
% apply(s,k)),X),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2658
% Current number of ordered equations: 0
% Current number of rules: 653
% New rule produced :
% [706]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),k)),
% apply(X,Y)),apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 654
% New rule produced :
% [707]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),k)),X),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Y)),X)),X)) ->
% (false)
% Current number of equations to process: 2737
% Current number of ordered equations: 0
% Current number of rules: 655
% New rule produced :
% [708]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,apply(s,k))),apply(s,k)),
% apply(X,Y)),apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 2757
% Current number of ordered equations: 0
% Current number of rules: 656
% New rule produced :
% [709]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,apply(s,k))),apply(s,k)),X),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Y)),X)),X)) ->
% (false)
% Current number of equations to process: 2792
% Current number of ordered equations: 0
% Current number of rules: 657
% New rule produced :
% [710]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,s),X)),k),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),X),k)),k)),k))
% -> (false)
% Current number of equations to process: 2811
% Current number of ordered equations: 0
% Current number of rules: 658
% New rule produced :
% [711]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,s),apply(k,X))),k),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),X)),k)),k)) ->
% (false)
% Current number of equations to process: 2824
% Current number of ordered equations: 0
% Current number of rules: 659
% New rule produced :
% [712]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,s),k),s)),k),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),s)),k)),k)) ->
% (false)
% Current number of equations to process: 2836
% Current number of ordered equations: 0
% Current number of rules: 660
% New rule produced :
% [713]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(apply(s,s),X),s),k)),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),Y)),apply(Y,Y))) -> (false)
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 661
% New rule produced :
% [714]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),s),s),s),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2858
% Current number of ordered equations: 0
% Current number of rules: 662
% New rule produced :
% [715]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(apply(
% apply(s,s),X),s),s),k)),Y),
% apply(f(apply(k,apply(Y,Y))),apply(Y,Y))) -> (false)
% Current number of equations to process: 2871
% Current number of ordered equations: 0
% Current number of rules: 663
% New rule produced :
% [716]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(apply(
% apply(s,s),X),s),s),k)),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2885
% Current number of ordered equations: 0
% Current number of rules: 664
% New rule produced :
% [717]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(apply(
% apply(
% apply(s,s),X),s),s),s),s)),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 2899
% Current number of ordered equations: 0
% Current number of rules: 665
% New rule produced :
% [718]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),Y),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),V_3),k)),X)),X))
% -> (false)
% Current number of equations to process: 2905
% Current number of ordered equations: 0
% Current number of rules: 666
% New rule produced :
% [719]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),Y),Z),
% apply(f(apply(apply(apply(apply(s,s),k),apply(s,apply(k,k))),apply(k,X))),X))
% -> (false)
% Current number of equations to process: 2921
% Current number of ordered equations: 0
% Current number of rules: 667
% New rule produced :
% [720]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(k,k))),k),X),Y),
% apply(k,apply(k,Y))),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2939
% Current number of ordered equations: 0
% Current number of rules: 668
% New rule produced :
% [721]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),s)),k),
% apply(k,Y)),apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 2953
% Current number of ordered equations: 1
% Current number of rules: 669
% New rule produced :
% [722]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(s,s),X)),k),k),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2953
% Current number of ordered equations: 0
% Current number of rules: 670
% New rule produced :
% [723]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,apply(k,X))),k),Y),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 2981
% Current number of ordered equations: 0
% Current number of rules: 671
% New rule produced :
% [724]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),
% apply(k,k)),apply(apply(s,k),X)),Y),apply(f(apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 3010
% Current number of ordered equations: 0
% Current number of rules: 672
% New rule produced :
% [725]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,s)),k),k),
% apply(s,k)),apply(f(apply(k,apply(s,k))),apply(s,k))) -> (false)
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 673
% New rule produced :
% [726]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(apply(apply(s,s),X),s)),
% apply(k,k)),apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3030
% Current number of ordered equations: 0
% Current number of rules: 674
% New rule produced :
% [727]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,apply(k,Y))),
% apply(k,Z)),apply(f(apply(apply(apply(s,apply(k,k)),Y),Z)),apply(Y,Z)))
% -> (false)
% Current number of equations to process: 3044
% Current number of ordered equations: 0
% Current number of rules: 675
% New rule produced :
% [728]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,X)),apply(k,Y)),Z),
% apply(f(apply(k,apply(apply(apply(s,X),Y),Z))),apply(apply(apply(s,X),Y),Z)))
% -> (false)
% Current number of equations to process: 3068
% Current number of ordered equations: 0
% Current number of rules: 676
% New rule produced :
% [729]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(s,
% apply(k,k)),k)),k),X),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3090
% Current number of ordered equations: 0
% Current number of rules: 677
% New rule produced :
% [730]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(
% apply(
% apply(s,s),Y),k)),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 3101
% Current number of ordered equations: 1
% Current number of rules: 678
% New rule produced :
% [731]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,k)),
% apply(s,k)),X),apply(k,Y)),apply(f(apply(k,Y)),Y)) ->
% (false)
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 679
% New rule produced :
% [732]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(
% apply(
% apply(s,s),X),k)),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3131
% Current number of ordered equations: 0
% Current number of rules: 680
% New rule produced :
% [733]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),
% apply(k,X))),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),X),Y)),
% apply(X,Y))) ->
% (false)
% Current number of equations to process: 3142
% Current number of ordered equations: 0
% Current number of rules: 681
% New rule produced :
% [734]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),
% apply(apply(apply(s,s),X),s))),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 3169
% Current number of ordered equations: 0
% Current number of rules: 682
% New rule produced :
% [735]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),k),k),X),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),s),X)),apply(s,X))) -> (false)
% Current number of equations to process: 3178
% Current number of ordered equations: 0
% Current number of rules: 683
% New rule produced :
% [736]
% (eq)(apply(X,X),apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(k,k)),apply(apply(s,k),Y)),X)),
% apply(X,X))) -> (false)
% Current number of equations to process: 3193
% Current number of ordered equations: 0
% Current number of rules: 684
% New rule produced :
% [737]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(
% apply(
% apply(s,
% apply(k,X)),
% apply(
% apply(s,k),Z)),Y)))
% -> (false)
% Current number of equations to process: 3202
% Current number of ordered equations: 0
% Current number of rules: 685
% New rule produced :
% [738]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(s,apply(k,X)),
% apply(apply(s,k),Z)),Y)))
% -> (false)
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 686
% New rule produced :
% [739]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),k),
% apply(k,X)),apply(apply(s,k),Y)),Z)))
% -> (false)
% Current number of equations to process: 3226
% Current number of ordered equations: 0
% Current number of rules: 687
% New rule produced :
% [740]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(s,s),
% apply(s,k)),
% apply(k,X)),Y))) ->
% (false)
% Current number of equations to process: 3235
% Current number of ordered equations: 0
% Current number of rules: 688
% New rule produced :
% [741]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(s,apply(k,X)),
% apply(apply(apply(s,s),Z),k)),Y)))
% -> (false)
% Current number of equations to process: 3243
% Current number of ordered equations: 0
% Current number of rules: 689
% New rule produced :
% [742]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),apply(s,k)),apply(k,
% apply(k,X))),Y)))
% -> (false)
% Current number of equations to process: 3258
% Current number of ordered equations: 0
% Current number of rules: 690
% New rule produced :
% [743]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),apply(s,k)),apply(
% apply(
% apply(s,
% apply(k,k)),k),X)),Y)))
% -> (false)
% Current number of equations to process: 3313
% Current number of ordered equations: 0
% Current number of rules: 691
% New rule produced :
% [744]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),k),apply(apply(s,s),
% apply(s,k))),
% apply(k,apply(k,X))))) -> (false)
% Current number of equations to process: 3312
% Current number of ordered equations: 0
% Current number of rules: 692
% New rule produced :
% [745]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,apply(X,Y))),Z),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 3334
% Current number of ordered equations: 0
% Current number of rules: 693
% New rule produced :
% [746]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,X)),Y),apply(apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),k),
% f(
% apply(k,X))),
% apply(k,X)),Z))
% -> (false)
% Current number of equations to process: 3360
% Current number of ordered equations: 0
% Current number of rules: 694
% New rule produced :
% [747]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,s)),k),X),
% apply(k,apply(k,Y))),Z),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 695
% New rule produced :
% [748]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(apply(s,apply(k,k)),k),
% apply(k,X))),apply(k,Y)),Z),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3392
% Current number of ordered equations: 0
% Current number of rules: 696
% New rule produced :
% [749]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(apply(
% apply(s,
% apply(k,k)),X),Y)),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 3406
% Current number of ordered equations: 0
% Current number of rules: 697
% New rule produced :
% [750]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),
% apply(k,s)),s),k),apply(k,X)),apply(f(apply(k,X)),X))
% -> (false)
% Current number of equations to process: 3429
% Current number of ordered equations: 2
% Current number of rules: 698
% New rule produced :
% [751]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),s),
% apply(k,k)),s),apply(k,X)),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 3429
% Current number of ordered equations: 1
% Current number of rules: 699
% New rule produced :
% [752]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(s,s)),s)),s),
% apply(k,apply(k,X))),k),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 3429
% Current number of ordered equations: 0
% Current number of rules: 700
% New rule produced :
% [753]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,
% apply(k,s)),s),
% apply(s,s))),k),X),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 3463
% Current number of ordered equations: 0
% Current number of rules: 701
% New rule produced :
% [754]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),
% apply(k,k)),apply(s,s)),k),X),apply(f(apply(k,k)),k))
% -> (false)
% Current number of equations to process: 3473
% Current number of ordered equations: 0
% Current number of rules: 702
% New rule produced :
% [755]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,
% apply(s,s))),X),k),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3483
% Current number of ordered equations: 0
% Current number of rules: 703
% New rule produced :
% [756]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(apply(apply(s,apply(k,k)),X),Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(X,Y))) -> (false)
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 704
% New rule produced :
% [757]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,apply(X,Y))),Z),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 3531
% Current number of ordered equations: 0
% Current number of rules: 705
% New rule produced :
% [758]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(s,s),apply(k,X))),apply(
% apply(
% apply(s,
% apply(k,k)),k),Y)),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3555
% Current number of ordered equations: 0
% Current number of rules: 706
% New rule produced :
% [759]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(s,
% apply(k,k)),k)),X),Y),Z),
% apply(f(apply(k,Y)),Y)) -> (false)
% Rule
% [729]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(s,
% apply(k,k)),k)),k),X),Y),
% apply(f(apply(k,X)),X)) -> (false) collapsed.
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 706
% New rule produced :
% [760]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(k,X)),
% apply(f(apply(apply(apply(apply(s,s),k),apply(s,apply(k,k))),apply(k,X))),X))
% -> (false)
% Current number of equations to process: 3580
% Current number of ordered equations: 0
% Current number of rules: 707
% New rule produced :
% [761]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(apply(apply(s,apply(k,k)),
% apply(apply(s,k),X)),Y)),Z),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3592
% Current number of ordered equations: 0
% Current number of rules: 708
% New rule produced :
% [762]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(k,X)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),Y),k)),X)),X))
% -> (false)
% Current number of equations to process: 3606
% Current number of ordered equations: 0
% Current number of rules: 709
% New rule produced :
% [763]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(s,apply(k,k)),k)),
% apply(k,X)),Y),apply(f(apply(apply(apply(s,apply(k,k)),k),X)),
% apply(k,X))) -> (false)
% Current number of equations to process: 3620
% Current number of ordered equations: 0
% Current number of rules: 710
% New rule produced :
% [764]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(apply(apply(apply(s,
% apply(s,s)),k),k),X)),Y),
% apply(f(apply(k,apply(k,k))),apply(k,k))) -> (false)
% Current number of equations to process: 3632
% Current number of ordered equations: 0
% Current number of rules: 711
% New rule produced :
% [765]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,
% apply(k,X)),
% apply(apply(s,k),Z))),Y)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 3638
% Current number of ordered equations: 0
% Current number of rules: 712
% New rule produced :
% [766]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,apply(k,X))),Y),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),apply(k,X)),Y))
% -> (false)
% Current number of equations to process: 3659
% Current number of ordered equations: 0
% Current number of rules: 713
% New rule produced :
% [767]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(s,s),
% apply(k,apply(k,Y))),
% apply(apply(s,k),Z)),X)))
% -> (false)
% Current number of equations to process: 3678
% Current number of ordered equations: 0
% Current number of rules: 714
% New rule produced :
% [768]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),apply(k,apply(k,Y))),
% apply(apply(s,k),Z)),apply(k,X)))) ->
% (false)
% Current number of equations to process: 3705
% Current number of ordered equations: 0
% Current number of rules: 715
% New rule produced :
% [769]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,apply(s,s)),apply(s,k)),
% apply(k,apply(k,Y))),apply(k,X)))) ->
% (false)
% Current number of equations to process: 3718
% Current number of ordered equations: 0
% Current number of rules: 716
% New rule produced :
% [770]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(s,s),
% apply(k,apply(k,Y))),
% apply(s,apply(s,k))),X)))
% -> (false)
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 717
% New rule produced :
% [771]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),apply(k,apply(k,Y))),
% apply(s,apply(s,k))),apply(k,X)))) ->
% (false)
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 718
% New rule produced :
% [772]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(X,Y)),
% apply(f(apply(k,apply(apply(apply(s,X),X),Y))),apply(apply(apply(s,X),X),Y)))
% -> (false)
% Current number of equations to process: 3758
% Current number of ordered equations: 0
% Current number of rules: 719
% New rule produced :
% [773]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),
% apply(k,apply(s,k))),s),X),apply(f(apply(k,apply(X,X))),
% apply(X,X))) -> (false)
% Current number of equations to process: 3778
% Current number of ordered equations: 1
% Current number of rules: 720
% New rule produced :
% [774]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),s),
% apply(k,X)),apply(s,k)),apply(f(apply(k,apply(X,X))),apply(X,X)))
% -> (false)
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 721
% New rule produced :
% [775]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(apply(
% apply(s,
% apply(k,k)),X),Y)),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 722
% New rule produced :
% [776]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),
% apply(k,apply(s,k))),s),apply(k,X)),apply(f(apply(k,X)),X))
% -> (false)
% Current number of equations to process: 3825
% Current number of ordered equations: 1
% Current number of rules: 723
% New rule produced :
% [777]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),s),
% apply(k,apply(k,X))),apply(s,k)),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 3825
% Current number of ordered equations: 0
% Current number of rules: 724
% New rule produced :
% [778]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(k,X)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),Y),k)),X)),X))
% -> (false)
% Current number of equations to process: 3846
% Current number of ordered equations: 0
% Current number of rules: 725
% New rule produced :
% [779]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(k,X)),
% apply(f(apply(apply(apply(apply(s,s),k),apply(s,apply(k,k))),apply(k,X))),X))
% -> (false)
% Current number of equations to process: 3860
% Current number of ordered equations: 0
% Current number of rules: 726
% New rule produced :
% [780]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),Y),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),Z),apply(Y,Z))),apply(Z,apply(Y,Z))))
% -> (false)
% Current number of equations to process: 3863
% Current number of ordered equations: 0
% Current number of rules: 727
% New rule produced :
% [781]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),Y),apply(k,Z)),
% apply(f(apply(k,Z)),Z)) -> (false)
% Rule
% [77]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(k,Y)),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false) collapsed.
% Rule
% [318]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(
% apply(s,k),Y)),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false) collapsed.
% Rule
% [730]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(
% apply(
% apply(s,s),Y),k)),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false) collapsed.
% Current number of equations to process: 3863
% Current number of ordered equations: 0
% Current number of rules: 725
% New rule produced :
% [782]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,k)),X),Y),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Rule
% [232]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,k)),k),X),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false) collapsed.
% Rule
% [731]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(s,k)),
% apply(s,k)),X),apply(k,Y)),apply(f(apply(k,Y)),Y)) ->
% (false) collapsed.
% Current number of equations to process: 3906
% Current number of ordered equations: 1
% Current number of rules: 724
% New rule produced :
% [783]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,s)),
% apply(s,k))),X),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3906
% Current number of ordered equations: 0
% Current number of rules: 725
% New rule produced :
% [784]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),
% apply(s,k)),X),apply(k,Y)),apply(f(apply(k,Y)),Y)) ->
% (false)
% Rule
% [613]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),
% apply(s,k)),apply(k,X)),apply(k,Y)),apply(f(apply(k,Y)),Y))
% -> (false) collapsed.
% Current number of equations to process: 3904
% Current number of ordered equations: 1
% Current number of rules: 725
% New rule produced :
% [785]
% (eq)(apply(apply(apply(apply(apply(s,s),k),apply(apply(s,apply(k,s)),
% apply(s,k))),X),apply(k,Y)),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 3904
% Current number of ordered equations: 0
% Current number of rules: 726
% New rule produced :
% [786]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,apply(s,k)),apply(
% apply(s,k),Y))),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),Z)),apply(X,Z))) -> (false)
% Current number of equations to process: 3960
% Current number of ordered equations: 0
% Current number of rules: 727
% New rule produced :
% [787]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,apply(s,k)),apply(
% apply(s,k),Y))),Z),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 3969
% Current number of ordered equations: 0
% Current number of rules: 728
% New rule produced :
% [788]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(apply(s,
% apply(s,k)),
% apply(k,Y))),Z),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 4003
% Current number of ordered equations: 0
% Current number of rules: 729
% New rule produced :
% [789]
% (eq)(apply(apply(apply(apply(s,s),k),apply(s,apply(k,X))),apply(apply(s,
% apply(s,k)),
% apply(k,Y))),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 4029
% Current number of ordered equations: 0
% Current number of rules: 730
% New rule produced :
% [790]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,k))),
% apply(k,X)),apply(k,Y)),Z),apply(f(apply(k,apply(X,Y))),
% apply(X,Y))) -> (false)
% Current number of equations to process: 4048
% Current number of ordered equations: 0
% Current number of rules: 731
% New rule produced :
% [791]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,k))),
% apply(apply(s,s),X)),apply(k,Y)),k),apply(f(apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 4076
% Current number of ordered equations: 0
% Current number of rules: 732
% New rule produced :
% [792]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,k),X)),Y),
% apply(k,Z)),V_3),apply(f(apply(k,apply(apply(Y,V_3),Z))),apply(
% apply(Y,V_3),Z)))
% -> (false)
% Current number of equations to process: 4086
% Current number of ordered equations: 0
% Current number of rules: 733
% New rule produced :
% [793]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,k),X)),k),
% apply(k,Y)),Z),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 734
% New rule produced :
% [794]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,k),X)),
% apply(s,k)),apply(k,Y)),Z),apply(f(apply(k,Y)),Y)) ->
% (false)
% Current number of equations to process: 4105
% Current number of ordered equations: 0
% Current number of rules: 735
% New rule produced :
% [795]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,s)),k),
% apply(k,X)),Y),apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4132
% Current number of ordered equations: 0
% Current number of rules: 736
% New rule produced :
% [796]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),k)),k),
% apply(k,Y)),Z),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 4141
% Current number of ordered equations: 1
% Current number of rules: 737
% New rule produced :
% [797]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(s,k),X)),k),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4141
% Current number of ordered equations: 0
% Current number of rules: 738
% New rule produced :
% [798]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,s)),
% apply(s,k)),apply(k,X)),Y),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 739
% New rule produced :
% [799]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,apply(k,X))),
% apply(k,Y)),apply(apply(s,k),Z)),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 4211
% Current number of ordered equations: 0
% Current number of rules: 740
% New rule produced :
% [800]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,
% apply(s,k)),
% apply(k,Y))),Z),
% apply(f(apply(k,apply(Y,X))),apply(Y,X))) -> (false)
% Current number of equations to process: 4224
% Current number of ordered equations: 0
% Current number of rules: 741
% New rule produced :
% [801]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,
% apply(s,k)),
% apply(apply(s,s),Y))),k),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4250
% Current number of ordered equations: 0
% Current number of rules: 742
% New rule produced :
% [802]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,s)),
% apply(s,k)),k),X),k),apply(f(apply(k,apply(X,k))),
% apply(X,k))) -> (false)
% Current number of equations to process: 4262
% Current number of ordered equations: 0
% Current number of rules: 743
% New rule produced :
% [803]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,k)),
% apply(s,k))),X),Y),X),
% apply(f(apply(k,apply(Y,X))),apply(Y,X))) -> (false)
% Current number of equations to process: 4278
% Current number of ordered equations: 0
% Current number of rules: 744
% New rule produced :
% [804]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(apply(
% apply(s,s),X),s),k)),Y),k),
% apply(f(apply(k,apply(Y,k))),apply(Y,k))) -> (false)
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 745
% New rule produced :
% [805]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(apply(s,s),X),k)),Y),k),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),k)),apply(Y,k))) -> (false)
% Current number of equations to process: 4321
% Current number of ordered equations: 0
% Current number of rules: 746
% New rule produced :
% [806]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,k)),
% apply(s,k))),X),Y),k),
% apply(f(apply(k,apply(Y,k))),apply(Y,k))) -> (false)
% Current number of equations to process: 4346
% Current number of ordered equations: 0
% Current number of rules: 747
% New rule produced :
% [807]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,apply(s,k)),
% apply(k,X))),apply(k,Y)),Z),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4360
% Current number of ordered equations: 0
% Current number of rules: 748
% New rule produced :
% [808]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(s,apply(k,k)),
% apply(s,k))),apply(k,apply(k,X))),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4374
% Current number of ordered equations: 0
% Current number of rules: 749
% New rule produced :
% [809]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(apply(
% apply(s,s),s),s),
% apply(k,k)),k)),X),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4387
% Current number of ordered equations: 0
% Current number of rules: 750
% New rule produced :
% [810]
% (eq)(apply(apply(apply(s,X),Y),Z),apply(f(apply(k,apply(apply(apply(s,X),Y),Z))),
% apply(apply(apply(apply(s,s),apply(k,Y)),X),Z)))
% -> (false)
% Current number of equations to process: 4394
% Current number of ordered equations: 0
% Current number of rules: 751
% New rule produced :
% [811]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(
% apply(
% apply(
% apply(s,s),
% apply(k,X)),
% apply(s,k)),Y)))
% -> (false)
% Current number of equations to process: 4415
% Current number of ordered equations: 0
% Current number of rules: 752
% New rule produced :
% [812]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(s,
% apply(s,s)),
% apply(k,apply(s,k))),
% apply(k,X)),Y))) ->
% (false)
% Current number of equations to process: 4433
% Current number of ordered equations: 0
% Current number of rules: 753
% New rule produced :
% [813]
% (eq)(apply(X,k),apply(f(apply(k,apply(X,k))),apply(apply(apply(apply(s,s),
% apply(k,X)),
% apply(apply(apply(s,s),Y),s)),k)))
% -> (false)
% Current number of equations to process: 4446
% Current number of ordered equations: 0
% Current number of rules: 754
% New rule produced :
% [814]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),k),Y),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,Y))),apply(k,Y)),Z))
% -> (false)
% Current number of equations to process: 4461
% Current number of ordered equations: 0
% Current number of rules: 755
% New rule produced :
% [815]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),k),
% apply(apply(s,k),Y)),apply(k,Z)),apply(f(apply(k,Z)),Z)) ->
% (false)
% Current number of equations to process: 4473
% Current number of ordered equations: 0
% Current number of rules: 756
% New rule produced :
% [816]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,apply(k,X))),
% apply(s,k)),Y),Z),apply(f(apply(k,apply(X,Z))),apply(X,Z)))
% -> (false)
% Current number of equations to process: 4487
% Current number of ordered equations: 0
% Current number of rules: 757
% New rule produced :
% [817]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(k,s)),s),k),apply(s,k)),X),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4514
% Current number of ordered equations: 0
% Current number of rules: 758
% New rule produced :
% [818]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,apply(k,X))),
% apply(s,k)),apply(k,Y)),apply(f(apply(k,apply(X,Y))),apply(X,Y)))
% -> (false)
% Current number of equations to process: 4528
% Current number of ordered equations: 0
% Current number of rules: 759
% New rule produced :
% [819]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,apply(k,Y))),
% apply(apply(s,k),Z)),apply(f(apply(k,apply(Y,X))),apply(Y,X))) ->
% (false)
% Current number of equations to process: 4551
% Current number of ordered equations: 1
% Current number of rules: 760
% New rule produced :
% [820]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),k),
% apply(k,s)),k),X),Y),apply(f(apply(k,s)),s)) ->
% (false)
% Current number of equations to process: 4572
% Current number of ordered equations: 1
% Current number of rules: 761
% New rule produced :
% [821]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(apply(apply(s,s),X),s)),
% apply(k,k)),Y),apply(f(apply(k,apply(Y,k))),apply(Y,k))) ->
% (false)
% Current number of equations to process: 4585
% Current number of ordered equations: 1
% Current number of rules: 762
% New rule produced :
% [822]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(apply(s,s),X)),
% apply(k,k)),apply(apply(s,k),Y)),apply(f(apply(k,k)),k)) ->
% (false)
% Current number of equations to process: 4605
% Current number of ordered equations: 0
% Current number of rules: 763
% New rule produced :
% [823]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(apply(s,s),X)),
% apply(k,k)),Y),apply(f(apply(apply(apply(s,apply(k,k)),Y),k)),
% apply(Y,k))) -> (false)
% Current number of equations to process: 4616
% Current number of ordered equations: 0
% Current number of rules: 764
% New rule produced :
% [824]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(apply(s,
% apply(s,s)),k),s),s)),k),k),k),
% apply(f(apply(k,k)),k)) -> (false)
% Current number of equations to process: 4642
% Current number of ordered equations: 0
% Current number of rules: 765
% New rule produced :
% [825]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(apply(s,k),X)),
% apply(k,apply(k,Y))),apply(k,Z)),apply(f(apply(k,Y)),Y)) ->
% (false)
% Current number of equations to process: 4648
% Current number of ordered equations: 0
% Current number of rules: 766
% New rule produced :
% [826]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,apply(s,k))),
% apply(k,apply(k,X))),apply(k,Y)),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 4663
% Current number of ordered equations: 0
% Current number of rules: 767
% New rule produced :
% [827]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),k),
% apply(k,apply(s,k))),X),apply(f(apply(k,apply(s,k))),apply(s,k)))
% -> (false)
% Current number of equations to process: 4674
% Current number of ordered equations: 0
% Current number of rules: 768
% New rule produced :
% [828]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,s)),k),
% apply(k,X)),apply(s,k)),Y),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 4683
% Current number of ordered equations: 0
% Current number of rules: 769
% New rule produced :
% [829]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),apply(k,
% apply(k,X))),
% apply(k,Y)),apply(s,k)),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 4697
% Current number of ordered equations: 0
% Current number of rules: 770
% New rule produced :
% [830]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),
% apply(apply(s,k),X))),apply(k,Y)),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 4707
% Current number of ordered equations: 0
% Current number of rules: 771
% New rule produced :
% [831]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(s,s),apply(k,apply(k,X)))),
% apply(s,k)),Y),apply(f(apply(k,apply(X,Y))),apply(X,Y))) ->
% (false)
% Current number of equations to process: 4720
% Current number of ordered equations: 0
% Current number of rules: 772
% New rule produced :
% [832]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(apply(apply(s,s),k),s)),
% apply(s,k)),X),apply(f(apply(k,apply(apply(s,X),X))),apply(
% apply(s,X),X)))
% -> (false)
% Current number of equations to process: 4742
% Current number of ordered equations: 0
% Current number of rules: 773
% New rule produced :
% [833]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),X),Y)),apply(
% apply(
% apply(
% apply(s,s),
% apply(s,k)),
% apply(k,X)),Y)))
% -> (false)
% Current number of equations to process: 4752
% Current number of ordered equations: 0
% Current number of rules: 774
% New rule produced :
% [834]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(
% apply(s,
% apply(k,s)),k),X),
% apply(apply(s,k),Z)),Y)))
% -> (false)
% Current number of equations to process: 4776
% Current number of ordered equations: 0
% Current number of rules: 775
% New rule produced :
% [835]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(s,apply(k,X)),
% apply(apply(apply(
% apply(s,s),Z),s),k)),Y)))
% -> (false)
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 776
% New rule produced :
% [836]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(k,X)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),apply(k,X)),Y))
% -> (false)
% Current number of equations to process: 4822
% Current number of ordered equations: 0
% Current number of rules: 777
% New rule produced :
% [837]
% (eq)(apply(X,Y),apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),
% apply(s,k)),
% apply(k,X))),Y)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 4836
% Current number of ordered equations: 0
% Current number of rules: 778
% New rule produced :
% [838]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),
% apply(s,k)),apply(k,
% apply(k,X)))),Y)),X))
% -> (false)
% Current number of equations to process: 4861
% Current number of ordered equations: 0
% Current number of rules: 779
% New rule produced :
% [839]
% (eq)(apply(X,Y),apply(f(apply(k,apply(X,Y))),apply(apply(apply(apply(s,
% apply(s,s)),
% apply(s,k)),
% apply(k,apply(k,Y))),X)))
% -> (false)
% Current number of equations to process: 4872
% Current number of ordered equations: 0
% Current number of rules: 780
% New rule produced :
% [840]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,s)),X),
% apply(s,k)),Y),apply(k,Z)),apply(f(apply(k,Z)),Z)) ->
% (false)
% Current number of equations to process: 4893
% Current number of ordered equations: 0
% Current number of rules: 781
% New rule produced :
% [841]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),Y),apply(k,
% apply(Z,V_3))),
% apply(f(apply(apply(apply(s,apply(k,k)),Z),V_3)),apply(Z,V_3))) -> (false)
% Current number of equations to process: 4912
% Current number of ordered equations: 0
% Current number of rules: 782
% New rule produced :
% [842]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),Y),apply(k,Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),V_3)),Z)),Z)) ->
% (false)
% Current number of equations to process: 4945
% Current number of ordered equations: 0
% Current number of rules: 783
% New rule produced :
% [843]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,apply(s,k)),apply(
% apply(
% apply(s,s),Y),k))),Z),
% apply(f(apply(k,apply(X,Z))),apply(X,Z))) -> (false)
% Current number of equations to process: 4964
% Current number of ordered equations: 0
% Current number of rules: 784
% New rule produced :
% [844]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,k))),
% apply(k,apply(k,X))),apply(k,Y)),Z),apply(f(apply(k,X)),X))
% -> (false)
% Current number of equations to process: 4986
% Current number of ordered equations: 0
% Current number of rules: 785
% New rule produced :
% [845]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,k),X)),
% apply(k,Y)),apply(k,Z)),V_3),apply(f(apply(k,apply(Y,Z))),
% apply(Y,Z))) -> (false)
% Current number of equations to process: 1567
% Current number of ordered equations: 0
% Current number of rules: 786
% New rule produced :
% [846]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,s)),X),
% apply(k,Y)),Z),apply(f(apply(k,apply(apply(X,Z),Y))),apply(
% apply(X,Z),Y)))
% -> (false)
% Current number of equations to process: 1598
% Current number of ordered equations: 0
% Current number of rules: 787
% New rule produced :
% [847]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,k),X)),
% apply(apply(s,s),Y)),apply(k,Z)),k),apply(f(apply(k,Z)),Z))
% -> (false)
% Current number of equations to process: 1637
% Current number of ordered equations: 0
% Current number of rules: 788
% New rule produced :
% [848]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),k)),
% apply(s,k)),apply(k,Y)),Z),apply(f(apply(k,Y)),Y)) ->
% (false)
% Current number of equations to process: 1651
% Current number of ordered equations: 0
% Current number of rules: 789
% New rule produced :
% [849]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),
% apply(s,k))),apply(k,s)),k),k),X),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1667
% Current number of ordered equations: 0
% Current number of rules: 790
% New rule produced :
% [850]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(apply(s,s),X),s),k)),k),
% apply(k,Y)),Z),apply(f(apply(k,Z)),Z)) -> (false)
% Current number of equations to process: 1679
% Current number of ordered equations: 0
% Current number of rules: 791
% New rule produced :
% [851]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(
% apply(s,s),X),k)),k),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1694
% Current number of ordered equations: 0
% Current number of rules: 792
% New rule produced :
% [852]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,
% apply(s,k)),
% apply(k,apply(k,Y)))),Z),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 1705
% Current number of ordered equations: 0
% Current number of rules: 793
% New rule produced :
% [853]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,apply(s,k))),apply(k,
% apply(k,X))),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1706
% Current number of ordered equations: 0
% Current number of rules: 794
% New rule produced :
% [854]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(apply(
% apply(s,s),s),s),
% apply(s,k))),k),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1732
% Current number of ordered equations: 0
% Current number of rules: 795
% New rule produced :
% [855]
% (eq)(apply(s,k),apply(f(apply(k,apply(s,k))),apply(apply(apply(apply(
% apply(s,
% apply(k,s)),
% apply(
% apply(s,s),X)),s),s),k)))
% -> (false)
% Current number of equations to process: 1743
% Current number of ordered equations: 0
% Current number of rules: 796
% New rule produced :
% [856]
% (eq)(apply(X,k),apply(f(apply(k,apply(X,k))),apply(apply(apply(apply(
% apply(s,
% apply(k,s)),
% apply(
% apply(s,s),Y)),s),X),k)))
% -> (false)
% Rule
% [855]
% (eq)(apply(s,k),apply(f(apply(k,apply(s,k))),apply(apply(apply(apply(
% apply(s,
% apply(k,s)),
% apply(
% apply(s,s),X)),s),s),k)))
% -> (false) collapsed.
% Current number of equations to process: 1750
% Current number of ordered equations: 0
% Current number of rules: 796
% New rule produced :
% [857]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),k),
% apply(s,k)),X),Y),apply(f(apply(k,apply(s,Y))),apply(s,Y)))
% -> (false)
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 797
% New rule produced :
% [858]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),k),apply(s,apply(k,s))),s),
% apply(s,k)),apply(k,X)),apply(f(apply(k,apply(s,X))),apply(s,X)))
% -> (false)
% Current number of equations to process: 1782
% Current number of ordered equations: 0
% Current number of rules: 798
% New rule produced :
% [859]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,k),X)),
% apply(k,apply(k,Y))),apply(k,Z)),V_3),apply(f(apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 1795
% Current number of ordered equations: 0
% Current number of rules: 799
% New rule produced :
% [860]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,s)),
% apply(k,X)),apply(k,Y)),Z),apply(f(apply(k,apply(X,Y))),
% apply(X,Y))) -> (false)
% Current number of equations to process: 1812
% Current number of ordered equations: 0
% Current number of rules: 800
% New rule produced :
% [861]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,s)),
% apply(apply(s,s),X)),apply(k,Y)),k),apply(f(apply(k,Y)),Y))
% -> (false)
% Current number of equations to process: 1840
% Current number of ordered equations: 0
% Current number of rules: 801
% New rule produced :
% [862]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,apply(s,k))),apply(
% apply(
% apply(s,
% apply(k,k)),k),X)),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 1853
% Current number of ordered equations: 0
% Current number of rules: 802
% New rule produced :
% [863]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),s),s)),
% apply(s,k)),apply(k,X)),k),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 1867
% Current number of ordered equations: 0
% Current number of rules: 803
% New rule produced :
% [864]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,s)),
% apply(k,apply(k,X))),apply(k,Y)),Z),apply(f(apply(k,X)),X))
% -> (false)
% Current number of equations to process: 1877
% Current number of ordered equations: 0
% Current number of rules: 804
% New rule produced :
% [865]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),k),apply(apply(s,s),apply(s,k))),
% apply(k,s)),apply(k,X)),k),apply(f(apply(k,X)),X)) ->
% (false)
% Current number of equations to process: 1893
% Current number of ordered equations: 0
% Current number of rules: 805
% New rule produced :
% [866]
% (eq)(apply(apply(apply(s,apply(k,X)),Y),Z),apply(f(apply(apply(apply(s,
% apply(k,k)),
% apply(apply(s,
% apply(k,X)),Y)),Z)),
% apply(X,apply(Y,Z)))) -> (false)
% Current number of equations to process: 1906
% Current number of ordered equations: 0
% Current number of rules: 806
% New rule produced :
% [867]
% (eq)(apply(apply(apply(s,X),apply(k,Y)),Z),apply(f(apply(apply(apply(s,
% apply(k,k)),
% apply(apply(s,X),
% apply(k,Y))),Z)),
% apply(apply(X,Z),Y))) -> (false)
% Current number of equations to process: 1942
% Current number of ordered equations: 0
% Current number of rules: 807
% New rule produced :
% [868]
% (eq)(apply(apply(apply(s,X),apply(k,Y)),Z),apply(apply(apply(apply(apply(s,
% apply(k,s)),k),
% f(apply(k,apply(
% apply(X,Z),Y)))),
% apply(X,Z)),Y)) -> (false)
% Current number of equations to process: 1974
% Current number of ordered equations: 0
% Current number of rules: 808
% New rule produced :
% [869]
% (eq)(f(apply(apply(apply(s,apply(s,s)),apply(k,k)),X)),apply(f(apply(
% apply(
% apply(s,
% apply(s,s)),
% apply(k,k)),X)),
% f(apply(apply(
% apply(s,s),X),k))))
% -> (false)
% Current number of equations to process: 2001
% Current number of ordered equations: 1
% Current number of rules: 809
% New rule produced :
% [870]
% (eq)(f(apply(apply(apply(s,apply(s,s)),apply(k,k)),X)),apply(f(apply(
% apply(
% apply(s,s),X),k)),
% f(apply(apply(
% apply(s,
% apply(s,s)),
% apply(k,k)),X))))
% -> (false)
% Current number of equations to process: 2001
% Current number of ordered equations: 0
% Current number of rules: 810
% New rule produced :
% [871]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(
% apply(s,
% apply(k,k)),s)),
% apply(k,k)),k),X),Y)),X)) -> (false)
% Current number of equations to process: 2020
% Current number of ordered equations: 1
% Current number of rules: 811
% New rule produced :
% [872]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(
% apply(s,s),s),
% apply(k,k))),
% apply(k,X)),Y),Z)),X)) -> (false)
% Current number of equations to process: 2020
% Current number of ordered equations: 0
% Current number of rules: 812
% New rule produced :
% [873]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(apply(
% apply(s,
% apply(k,s)),k),
% apply(s,k)),Y),Z)),X)),X))
% -> (false)
% Current number of equations to process: 2048
% Current number of ordered equations: 0
% Current number of rules: 813
% New rule produced :
% [874]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,k)),
% apply(k,X)),apply(apply(apply(s,s),Y),k))),X)) ->
% (false)
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 814
% New rule produced :
% [875]
% (eq)(X,apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,s)),
% apply(k,f(apply(k,X)))),k),apply(k,X)),Y)) ->
% (false)
% Current number of equations to process: 2073
% Current number of ordered equations: 0
% Current number of rules: 815
% New rule produced :
% [876]
% (eq)(apply(apply(apply(s,apply(k,X)),Y),Z),apply(f(apply(apply(apply(
% apply(s,s),
% apply(k,X)),
% apply(k,k)),
% apply(Y,Z))),apply(X,
% apply(Y,Z))))
% -> (false)
% Current number of equations to process: 2087
% Current number of ordered equations: 0
% Current number of rules: 816
% New rule produced :
% [877]
% (eq)(apply(X,f(X)),apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),
% apply(k,apply(k,f(X)))),apply(k,f(X))),X)) ->
% (false)
% Current number of equations to process: 2130
% Current number of ordered equations: 0
% Current number of rules: 817
% New rule produced :
% [878]
% (eq)(apply(apply(apply(s,apply(k,X)),Y),X),apply(f(apply(apply(apply(
% apply(
% apply(s,
% apply(k,s)),s),
% apply(k,k)),Y),X)),
% apply(X,apply(Y,X)))) -> (false)
% Current number of equations to process: 2142
% Current number of ordered equations: 0
% Current number of rules: 818
% New rule produced :
% [879]
% (eq)(apply(apply(apply(s,apply(k,X)),Y),Z),apply(f(apply(apply(apply(s,
% apply(k,k)),X),
% apply(Y,Z))),apply(
% apply(
% apply(s,
% apply(k,X)),Y),Z)))
% -> (false)
% Current number of equations to process: 2168
% Current number of ordered equations: 0
% Current number of rules: 819
% New rule produced :
% [880]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,X)),apply(k,Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),apply(Z,Y))),apply(X,apply(Z,Y))))
% -> (false)
% Current number of equations to process: 2207
% Current number of ordered equations: 0
% Current number of rules: 820
% New rule produced :
% [881]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,apply(k,X))),
% apply(k,Y)),Z),apply(f(apply(k,X)),X)) -> (false)
% Rule
% [799]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,apply(k,X))),
% apply(k,Y)),apply(apply(s,k),Z)),apply(f(apply(k,X)),X)) ->
% (false) collapsed.
% Current number of equations to process: 2207
% Current number of ordered equations: 0
% Current number of rules: 820
% New rule produced :
% [882]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(apply(apply(s,
% apply(k,k)),k),X)),
% apply(k,Y)),Z),apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2270
% Current number of ordered equations: 0
% Current number of rules: 821
% New rule produced :
% [883]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,X)),k),Y),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Z)),Y)),apply(apply(X,Z),Y)))
% -> (false)
% Current number of equations to process: 2283
% Current number of ordered equations: 0
% Current number of rules: 822
% New rule produced :
% [884]
% (eq)(apply(apply(apply(s,X),apply(k,Y)),Z),apply(f(apply(apply(apply(s,
% apply(k,k)),
% apply(X,Z)),Y)),
% apply(apply(apply(s,X),apply(k,Y)),Z)))
% -> (false)
% Current number of equations to process: 2322
% Current number of ordered equations: 0
% Current number of rules: 823
% New rule produced :
% [885]
% (eq)(X,apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),
% apply(apply(apply(s,apply(s,s)),apply(k,k)),Y)),X)) -> (false)
% Current number of equations to process: 2351
% Current number of ordered equations: 0
% Current number of rules: 824
% New rule produced :
% [886]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,k)),Y),
% apply(apply(s,apply(s,k)),apply(k,X)))),X)) -> (false)
% Current number of equations to process: 2358
% Current number of ordered equations: 1
% Current number of rules: 825
% New rule produced :
% [887]
% (eq)(k,apply(f(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),
% apply(s,s)),s),apply(s,k)),apply(k,k)),X)),k))
% -> (false)
% Current number of equations to process: 2358
% Current number of ordered equations: 0
% Current number of rules: 826
% New rule produced :
% [888]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(s,apply(k,k)),Y),Z)),V_3),
% apply(f(apply(apply(apply(s,apply(k,k)),X),apply(Y,Z))),apply(X,apply(Y,Z))))
% -> (false)
% Current number of equations to process: 2381
% Current number of ordered equations: 0
% Current number of rules: 827
% New rule produced :
% [889]
% (eq)(apply(k,f(k)),apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),
% apply(apply(s,apply(s,s)),k)),s),k),k),
% f(k)),f(k))) -> (false)
% Current number of equations to process: 2433
% Current number of ordered equations: 0
% Current number of rules: 828
% New rule produced :
% [890]
% (eq)(X,apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(
% apply(s,
% apply(s,s)),k)),s),s),k),
% f(apply(k,X))),X)) -> (false)
% Current number of equations to process: 2439
% Current number of ordered equations: 0
% Current number of rules: 829
% New rule produced :
% [891]
% (eq)(apply(apply(apply(apply(s,s),k),X),Y),apply(f(apply(apply(apply(s,
% apply(k,k)),
% apply(X,Y)),X)),
% apply(apply(apply(apply(s,s),k),X),Y)))
% -> (false)
% Current number of equations to process: 2444
% Current number of ordered equations: 1
% Current number of rules: 830
% New rule produced :
% [892]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),k),apply(k,X)),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(Y,X)),Y)),apply(apply(Y,X),Y)))
% -> (false)
% Current number of equations to process: 2444
% Current number of ordered equations: 0
% Current number of rules: 831
% New rule produced :
% [893]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),
% apply(k,Y)),Z),apply(f(apply(apply(apply(s,apply(k,k)),apply(
% apply(s,k),X)),Y)),Y))
% -> (false)
% Current number of equations to process: 2523
% Current number of ordered equations: 0
% Current number of rules: 832
% New rule produced :
% [894]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(apply(
% apply(s,
% apply(s,s)),
% apply(k,s)),Y),s),k)),X)),X))
% -> (false)
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 833
% New rule produced :
% [895]
% (eq)(apply(apply(apply(apply(s,s),k),X),Y),apply(apply(apply(apply(apply(s,
% apply(k,s)),k),
% f(apply(k,apply(
% apply(X,Y),X)))),
% apply(X,Y)),X)) -> (false)
% Current number of equations to process: 2554
% Current number of ordered equations: 0
% Current number of rules: 834
% New rule produced :
% [896]
% (eq)(apply(apply(apply(apply(s,s),k),X),Y),apply(f(apply(apply(apply(s,
% apply(k,k)),
% apply(apply(
% apply(s,s),k),X)),Y)),
% apply(apply(X,Y),X))) -> (false)
% Current number of equations to process: 2578
% Current number of ordered equations: 0
% Current number of rules: 835
% New rule produced :
% [897]
% (eq)(apply(apply(X,Y),Y),apply(f(apply(apply(apply(s,apply(k,k)),apply(
% apply(s,X),
% apply(
% apply(s,k),Z))),Y)),
% apply(apply(X,Y),Y))) -> (false)
% Current number of equations to process: 2611
% Current number of ordered equations: 0
% Current number of rules: 836
% New rule produced :
% [898]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(k,Y)),Z),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Z,Y)))),Z),Y))
% -> (false)
% Current number of equations to process: 2644
% Current number of ordered equations: 0
% Current number of rules: 837
% New rule produced :
% [899]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(k,X)),Y),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,X)))),Y),X))
% -> (false)
% Current number of equations to process: 2670
% Current number of ordered equations: 0
% Current number of rules: 838
% New rule produced :
% [900]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,X)),k),Y),Z),
% apply(f(apply(k,apply(apply(X,Z),Y))),apply(apply(apply(s,X),apply(k,Y)),Z)))
% -> (false)
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 839
% New rule produced :
% [901]
% (eq)(apply(apply(apply(s,X),apply(k,Y)),Z),apply(f(apply(k,apply(apply(X,Z),Y))),
% apply(apply(apply(apply(s,s),
% apply(k,apply(k,Y))),X),Z)))
% -> (false)
% Current number of equations to process: 2722
% Current number of ordered equations: 1
% Current number of rules: 840
% New rule produced :
% [902]
% (eq)(apply(apply(apply(s,X),apply(k,Y)),Z),apply(f(apply(k,apply(apply(X,Z),Y))),
% apply(apply(apply(s,apply(s,X)),
% apply(k,Z)),apply(k,Y)))) ->
% (false)
% Current number of equations to process: 2722
% Current number of ordered equations: 0
% Current number of rules: 841
% New rule produced :
% [903]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(X,Y)),apply(k,Z)),V_3),
% apply(f(apply(k,apply(apply(X,Y),Z))),apply(apply(apply(s,X),apply(k,Z)),Y)))
% -> (false)
% Current number of equations to process: 2781
% Current number of ordered equations: 0
% Current number of rules: 842
% New rule produced :
% [904]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(k,apply(Y,Z))),V_3),
% apply(f(apply(k,apply(apply(Y,Z),X))),apply(apply(apply(s,Y),apply(k,X)),Z)))
% -> (false)
% Current number of equations to process: 2817
% Current number of ordered equations: 0
% Current number of rules: 843
% New rule produced :
% [905]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,apply(X,Y))),apply(Z,Y)),
% apply(f(apply(k,apply(apply(apply(s,X),Z),Y))),apply(apply(X,Y),apply(Z,Y))))
% -> (false)
% Current number of equations to process: 2853
% Current number of ordered equations: 0
% Current number of rules: 844
% New rule produced :
% [906]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(k,apply(apply(s,X),Y))),Z),
% apply(f(apply(k,apply(apply(apply(s,X),Y),Z))),apply(apply(X,Z),apply(Y,Z))))
% -> (false)
% Current number of equations to process: 2894
% Current number of ordered equations: 0
% Current number of rules: 845
% New rule produced :
% [907]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,X)),Y),apply(k,Z)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Z)))),X),Z))
% -> (false)
% Current number of equations to process: 2934
% Current number of ordered equations: 0
% Current number of rules: 846
% New rule produced :
% [908]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(apply(s,k),Y)),Z),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Z)))),X),Z))
% -> (false)
% Current number of equations to process: 2959
% Current number of ordered equations: 0
% Current number of rules: 847
% New rule produced :
% [909]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(apply(s,s),Y),s),k)),Z),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Z)))),X),Z))
% -> (false)
% Current number of equations to process: 2983
% Current number of ordered equations: 0
% Current number of rules: 848
% New rule produced :
% [910]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,k),Y)),Z),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Z,X)))),Z),X))
% -> (false)
% Current number of equations to process: 3005
% Current number of ordered equations: 0
% Current number of rules: 849
% New rule produced :
% [911]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,apply(s,k))),Y),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,X)))),Y),X))
% -> (false)
% Current number of equations to process: 3030
% Current number of ordered equations: 0
% Current number of rules: 850
% New rule produced :
% [912]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),k),apply(k,X)),Y),
% apply(f(apply(k,apply(apply(Y,X),Y))),apply(apply(apply(apply(s,s),k),Y),X)))
% -> (false)
% Current number of equations to process: 3049
% Current number of ordered equations: 0
% Current number of rules: 851
% New rule produced :
% [913]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),k),X),Y),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,X)))),X),X))
% -> (false)
% Current number of equations to process: 3077
% Current number of ordered equations: 0
% Current number of rules: 852
% New rule produced :
% [914]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,k)),apply(k,apply(k,X))),Y),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,X)))),Y),X))
% -> (false)
% Current number of equations to process: 3089
% Current number of ordered equations: 0
% Current number of rules: 853
% New rule produced :
% [915]
% (eq)(apply(X,apply(k,X)),apply(f(apply(apply(apply(s,apply(k,k)),X),apply(k,X))),
% apply(apply(apply(apply(s,s),k),apply(k,X)),Y))) ->
% (false)
% Current number of equations to process: 3111
% Current number of ordered equations: 0
% Current number of rules: 854
% New rule produced :
% [916]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),k),apply(k,apply(k,X))),Y)))
% -> (false)
% Current number of equations to process: 3111
% Current number of ordered equations: 0
% Current number of rules: 855
% New rule produced :
% [917]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),k),apply(apply(
% apply(s,
% apply(k,k)),k),X)),Y)))
% -> (false)
% Current number of equations to process: 3139
% Current number of ordered equations: 0
% Current number of rules: 856
% New rule produced :
% [918]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),k),
% apply(k,apply(k,X))))) -> (false)
% Current number of equations to process: 3138
% Current number of ordered equations: 0
% Current number of rules: 857
% New rule produced :
% [919]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),
% apply(s,s)),k),Y),apply(k,
% apply(k,X)))))
% -> (false)
% Current number of equations to process: 3157
% Current number of ordered equations: 0
% Current number of rules: 858
% New rule produced :
% [920]
% (eq)(apply(apply(X,Y),apply(apply(apply(apply(apply(apply(s,s),Z),s),s),k),V_3)),
% apply(f(apply(k,apply(apply(X,Y),V_3))),apply(apply(apply(s,X),apply(k,V_3)),Y)))
% -> (false)
% Current number of equations to process: 3170
% Current number of ordered equations: 0
% Current number of rules: 859
% New rule produced :
% [921]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(apply(apply(apply(s,s),Y),s),k)),Z),
% apply(f(apply(k,apply(apply(apply(s,X),Z),Z))),apply(apply(X,Z),apply(Z,Z))))
% -> (false)
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 860
% New rule produced :
% [922]
% (eq)(apply(X,apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),Y),k),Z)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Z)))),X),Z))
% -> (false)
% Current number of equations to process: 3232
% Current number of ordered equations: 0
% Current number of rules: 861
% New rule produced :
% [923]
% (eq)(k,apply(f(apply(k,k)),apply(apply(apply(apply(apply(apply(apply(s,
% apply(k,s)),s),
% apply(k,s)),k),k),
% apply(k,X)),Y))) -> (false)
% Current number of equations to process: 3257
% Current number of ordered equations: 0
% Current number of rules: 862
% New rule produced :
% [924]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),k),apply(Y,Z)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,Z)))),Y),Z))
% -> (false)
% Current number of equations to process: 3270
% Current number of ordered equations: 0
% Current number of rules: 863
% New rule produced :
% [925]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),k),Y),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,Y))),apply(k,Y)),Z))
% -> (false)
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 864
% New rule produced :
% [926]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),s),Y),k),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,k)))),Y),k))
% -> (false)
% Current number of equations to process: 3312
% Current number of ordered equations: 0
% Current number of rules: 865
% New rule produced :
% [927]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(apply(s,s),Y),s),s),s),k),Z)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Z)))),X),Z))
% -> (false)
% Current number of equations to process: 3329
% Current number of ordered equations: 0
% Current number of rules: 866
% New rule produced :
% [928]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(apply(apply(s,s),Y),s),s),k)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Z)),Z)),apply(apply(X,Z),Z)))
% -> (false)
% Current number of equations to process: 3354
% Current number of ordered equations: 0
% Current number of rules: 867
% New rule produced :
% [929]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),s),
% apply(k,Y)),k),apply(f(apply(apply(apply(s,apply(k,k)),apply(
% apply(s,k),Z)),Y)),Y))
% -> (false)
% Current number of equations to process: 3387
% Current number of ordered equations: 1
% Current number of rules: 868
% New rule produced :
% [930]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),X),
% apply(k,k)),s),Y),apply(f(apply(apply(apply(s,apply(k,k)),
% apply(apply(s,k),Z)),Y)),Y))
% -> (false)
% Current number of equations to process: 3387
% Current number of ordered equations: 0
% Current number of rules: 869
% New rule produced :
% [931]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),k),apply(Y,Z)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,Z)))),Y),Z))
% -> (false)
% Current number of equations to process: 3427
% Current number of ordered equations: 0
% Current number of rules: 870
% New rule produced :
% [932]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),X),Y),apply(apply(s,k),Z)),V_3),
% apply(f(apply(k,apply(apply(apply(X,Y),V_3),V_3))),apply(apply(apply(X,Y),V_3),V_3)))
% -> (false)
% Current number of equations to process: 3452
% Current number of ordered equations: 0
% Current number of rules: 871
% New rule produced :
% [933]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),Y),apply(f(
% apply(
% apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),s),
% apply(k,k)),Z),
% apply(k,Y))),Y))
% -> (false)
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 872
% New rule produced :
% [934]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,k),X)),apply(Y,Z)),
% apply(f(apply(k,apply(apply(apply(s,Y),Y),Z))),apply(apply(apply(s,Y),Y),Z)))
% -> (false)
% Current number of equations to process: 3513
% Current number of ordered equations: 0
% Current number of rules: 873
% New rule produced :
% [935]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,s),X),k)),Y),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,Y)))),Y),Y))
% -> (false)
% Current number of equations to process: 3539
% Current number of ordered equations: 0
% Current number of rules: 874
% New rule produced :
% [936]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),X),apply(f(
% apply(
% apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),s),
% apply(k,k)),Y),
% apply(k,X))),X))
% -> (false)
% Current number of equations to process: 3554
% Current number of ordered equations: 0
% Current number of rules: 875
% New rule produced :
% [937]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(
% apply(
% apply(s,s),Z),s),k)),Y)),Y))
% -> (false)
% Current number of equations to process: 3570
% Current number of ordered equations: 0
% Current number of rules: 876
% New rule produced :
% [938]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,apply(s,k)),
% apply(apply(apply(apply(s,s),Y),s),k))),X)),X))
% -> (false)
% Current number of equations to process: 3589
% Current number of ordered equations: 0
% Current number of rules: 877
% New rule produced :
% [939]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),X),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(
% apply(
% apply(s,s),Y),s),k)),X)),X))
% -> (false)
% Current number of equations to process: 3599
% Current number of ordered equations: 0
% Current number of rules: 878
% New rule produced :
% [940]
% (eq)(X,apply(f(apply(apply(s,apply(s,k)),apply(apply(apply(s,apply(k,k)),
% apply(apply(apply(apply(s,s),Y),s),k)),X))),X))
% -> (false)
% Current number of equations to process: 3615
% Current number of ordered equations: 0
% Current number of rules: 879
% New rule produced :
% [941]
% (eq)(X,apply(f(apply(apply(s,apply(s,k)),apply(apply(apply(apply(apply(s,
% apply(k,s)),s),
% apply(k,k)),Y),apply(k,X)))),X))
% -> (false)
% Current number of equations to process: 3627
% Current number of ordered equations: 0
% Current number of rules: 880
% New rule produced :
% [942]
% (eq)(apply(apply(X,Y),apply(apply(apply(apply(apply(apply(s,s),Z),s),s),k),X)),
% apply(f(apply(k,apply(apply(X,Y),X))),apply(apply(apply(apply(s,s),k),X),Y)))
% -> (false)
% Current number of equations to process: 3638
% Current number of ordered equations: 0
% Current number of rules: 881
% New rule produced :
% [943]
% (eq)(apply(s,apply(k,k)),apply(f(apply(apply(apply(apply(s,s),k),apply(s,
% apply(k,k))),
% apply(apply(s,k),X))),apply(s,apply(k,k))))
% -> (false)
% Current number of equations to process: 3670
% Current number of ordered equations: 0
% Current number of rules: 882
% New rule produced :
% [944]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(X,Y)),apply(k,X)),Z),
% apply(f(apply(k,apply(apply(X,Y),X))),apply(apply(apply(apply(s,s),k),X),Y)))
% -> (false)
% Current number of equations to process: 3674
% Current number of ordered equations: 0
% Current number of rules: 883
% New rule produced :
% [945]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(apply(s,s),k),
% apply(s,apply(k,s))),apply(s,s)),
% apply(k,X)),k))) -> (false)
% Current number of equations to process: 3705
% Current number of ordered equations: 0
% Current number of rules: 884
% New rule produced :
% [946]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),k),apply(apply(
% apply(s,
% apply(k,s)),k),
% apply(k,X))),
% apply(k,Y)))) -> (false)
% Current number of equations to process: 3716
% Current number of ordered equations: 0
% Current number of rules: 885
% New rule produced :
% [947]
% (eq)(X,apply(f(apply(apply(apply(apply(s,apply(s,s)),apply(apply(apply(s,
% apply(k,k)),s),
% apply(k,k))),k),
% apply(k,X))),X)) -> (false)
% Current number of equations to process: 3725
% Current number of ordered equations: 1
% Current number of rules: 886
% New rule produced :
% [948]
% (eq)(X,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),k),
% apply(k,apply(k,X))),apply(s,apply(k,k)))),X)) ->
% (false)
% Current number of equations to process: 3725
% Current number of ordered equations: 0
% Current number of rules: 887
% New rule produced :
% [949]
% (eq)(apply(apply(X,Y),k),apply(f(apply(apply(apply(apply(s,s),apply(s,X)),
% apply(k,k)),Y)),apply(apply(apply(s,X),
% apply(k,k)),Y)))
% -> (false)
% Current number of equations to process: 3743
% Current number of ordered equations: 0
% Current number of rules: 888
% New rule produced :
% [950]
% (eq)(k,apply(f(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),
% apply(s,s)),apply(s,k)),X),apply(k,k)),Y)),k))
% -> (false)
% Current number of equations to process: 3766
% Current number of ordered equations: 0
% Current number of rules: 889
% New rule produced :
% [951]
% (eq)(k,apply(f(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),
% apply(apply(apply(s,s),X),k)),Y),apply(k,k))),k))
% -> (false)
% Current number of equations to process: 3779
% Current number of ordered equations: 0
% Current number of rules: 890
% New rule produced :
% [952]
% (eq)(k,apply(f(apply(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),
% apply(s,s)),s),k),s),apply(k,k)),X)),k))
% -> (false)
% Current number of equations to process: 3792
% Current number of ordered equations: 0
% Current number of rules: 891
% New rule produced :
% [953]
% (eq)(k,apply(f(apply(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),
% apply(s,k)),apply(k,apply(k,k))),s),X)),k))
% -> (false)
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 892
% New rule produced :
% [954]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,apply(k,k)),
% apply(apply(apply(s,s),Y),k)),X)),Z)),X))
% -> (false)
% Current number of equations to process: 3809
% Current number of ordered equations: 0
% Current number of rules: 893
% New rule produced :
% [955]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,apply(X,Y))),Z),V_3),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 3821
% Current number of ordered equations: 0
% Current number of rules: 894
% New rule produced :
% [956]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,X)),Y),Z),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),apply(k,X)),V_3))
% -> (false)
% Current number of equations to process: 3852
% Current number of ordered equations: 0
% Current number of rules: 895
% New rule produced :
% [957]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,k)),X),apply(k,Y)),Z),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Z)),apply(k,k)),Y)),apply(Z,Y)))
% -> (false)
% Current number of equations to process: 3872
% Current number of ordered equations: 0
% Current number of rules: 896
% New rule produced :
% [958]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,s)),k),X),apply(k,Y)),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),apply(k,Y))),apply(Y,apply(k,Y))))
% -> (false)
% Current number of equations to process: 3897
% Current number of ordered equations: 0
% Current number of rules: 897
% New rule produced :
% [959]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,X)),Y),apply(k,Z)),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Z)),apply(X,Z)))
% -> (false)
% Current number of equations to process: 3918
% Current number of ordered equations: 0
% Current number of rules: 898
% New rule produced :
% [960]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),X),apply(apply(s,k),Y)),Z),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Z)),apply(X,Z)))
% -> (false)
% Current number of equations to process: 3943
% Current number of ordered equations: 0
% Current number of rules: 899
% New rule produced :
% [961]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(apply(s,s),Y),s),k)),Z),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Z)),apply(X,Z)))
% -> (false)
% Current number of equations to process: 3967
% Current number of ordered equations: 0
% Current number of rules: 900
% New rule produced :
% [962]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,X)),k),X),Y),
% apply(f(apply(k,apply(apply(X,Y),X))),apply(apply(apply(apply(s,s),k),X),Y)))
% -> (false)
% Current number of equations to process: 3989
% Current number of ordered equations: 0
% Current number of rules: 901
% New rule produced :
% [963]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),k),X),Y),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),X)),apply(X,X)))
% -> (false)
% Current number of equations to process: 4015
% Current number of ordered equations: 0
% Current number of rules: 902
% New rule produced :
% [964]
% (eq)(apply(apply(X,Y),apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),Z),V_3)),
% apply(f(apply(k,apply(apply(X,Y),V_3))),apply(apply(apply(s,X),apply(k,V_3)),Y)))
% -> (false)
% Current number of equations to process: 4029
% Current number of ordered equations: 0
% Current number of rules: 903
% New rule produced :
% [965]
% (eq)(apply(apply(X,Y),apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),Z),X)),
% apply(f(apply(k,apply(apply(X,Y),X))),apply(apply(apply(apply(s,s),k),X),Y)))
% -> (false)
% Current number of equations to process: 4065
% Current number of ordered equations: 0
% Current number of rules: 904
% New rule produced :
% [966]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(s,apply(s,s)),apply(k,k)),Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Z)),Z)),apply(apply(X,Z),Z)))
% -> (false)
% Current number of equations to process: 4098
% Current number of ordered equations: 0
% Current number of rules: 905
% New rule produced :
% [967]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(
% apply(
% apply(s,s),Z),s),k)),Y)),Y))
% -> (false)
% Current number of equations to process: 4134
% Current number of ordered equations: 0
% Current number of rules: 906
% New rule produced :
% [968]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,k)),X),Y),apply(f(
% apply(
% apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),s),
% apply(k,k)),Z),
% apply(k,Y))),Y))
% -> (false)
% Current number of equations to process: 4153
% Current number of ordered equations: 0
% Current number of rules: 907
% New rule produced :
% [969]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),X),
% apply(k,k)),Y),apply(f(apply(apply(apply(s,apply(k,k)),apply(
% apply(s,k),Z)),Y)),Y))
% -> (false)
% Current number of equations to process: 4171
% Current number of ordered equations: 0
% Current number of rules: 908
% New rule produced :
% [970]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),X),apply(k,Y)),apply(k,Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Y)),Z)),apply(apply(X,Y),Z)))
% -> (false)
% Current number of equations to process: 4191
% Current number of ordered equations: 0
% Current number of rules: 909
% New rule produced :
% [971]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),X),apply(k,Y)),apply(k,Z)),
% apply(f(apply(k,apply(apply(X,Y),Z))),apply(apply(apply(s,X),apply(k,Z)),Y)))
% -> (false)
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 910
% New rule produced :
% [972]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),X),apply(k,Y)),apply(k,X)),
% apply(f(apply(k,apply(apply(X,Y),X))),apply(apply(apply(apply(s,s),k),X),Y)))
% -> (false)
% Current number of equations to process: 4278
% Current number of ordered equations: 0
% Current number of rules: 911
% New rule produced :
% [973]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,Y)),apply(k,Z)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(Y,X)),Z)),apply(apply(Y,X),Z)))
% -> (false)
% Current number of equations to process: 4306
% Current number of ordered equations: 0
% Current number of rules: 912
% New rule produced :
% [974]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,Y)),apply(k,Z)),
% apply(f(apply(k,apply(apply(Y,X),Z))),apply(apply(apply(s,Y),apply(k,Z)),X)))
% -> (false)
% Current number of equations to process: 4341
% Current number of ordered equations: 0
% Current number of rules: 913
% New rule produced :
% [975]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,Y)),apply(k,Y)),
% apply(f(apply(k,apply(apply(Y,X),Y))),apply(apply(apply(apply(s,s),k),Y),X)))
% -> (false)
% Current number of equations to process: 4373
% Current number of ordered equations: 0
% Current number of rules: 914
% New rule produced :
% [976]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,X)),apply(k,apply(k,Y))),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Z)),Y)),apply(apply(X,Z),Y)))
% -> (false)
% Current number of equations to process: 4401
% Current number of ordered equations: 0
% Current number of rules: 915
% New rule produced :
% [977]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,X)),apply(k,apply(k,Y))),Z),
% apply(f(apply(k,apply(apply(X,Z),Y))),apply(apply(apply(s,X),apply(k,Y)),Z)))
% -> (false)
% Current number of equations to process: 4436
% Current number of ordered equations: 0
% Current number of rules: 916
% New rule produced :
% [978]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(k,X)),Y),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),X)),apply(Y,X)))
% -> (false)
% Current number of equations to process: 4466
% Current number of ordered equations: 0
% Current number of rules: 917
% New rule produced :
% [979]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,k),Y)),Z),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Z)),apply(k,k)),X)),apply(Z,X)))
% -> (false)
% Current number of equations to process: 4488
% Current number of ordered equations: 0
% Current number of rules: 918
% New rule produced :
% [980]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(s,apply(s,k))),Y),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),X)),apply(Y,X)))
% -> (false)
% Current number of equations to process: 4513
% Current number of ordered equations: 0
% Current number of rules: 919
% New rule produced :
% [981]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,apply(s,k))),apply(k,X)),Y),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 4535
% Current number of ordered equations: 0
% Current number of rules: 920
% New rule produced :
% [982]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(s,k)),apply(k,apply(k,X))),Y),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),X)),apply(Y,X)))
% -> (false)
% Current number of equations to process: 4553
% Current number of ordered equations: 0
% Current number of rules: 921
% New rule produced :
% [983]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),k),
% apply(apply(apply(s,s),Y),k)),
% apply(k,X)),Z))) -> (false)
% Current number of equations to process: 4574
% Current number of ordered equations: 0
% Current number of rules: 922
% New rule produced :
% [984]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),apply(k,apply(k,Y))),
% apply(apply(apply(s,apply(k,k)),k),X)),Z)))
% -> (false)
% Current number of equations to process: 4589
% Current number of ordered equations: 0
% Current number of rules: 923
% New rule produced :
% [985]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(apply(apply(s,s),Y),s),s),k)),X),
% apply(f(apply(k,apply(apply(X,X),X))),apply(apply(apply(apply(s,s),k),X),X)))
% -> (false)
% Current number of equations to process: 4604
% Current number of ordered equations: 0
% Current number of rules: 924
% New rule produced :
% [986]
% (eq)(apply(X,apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),Y),k),Z)),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Z)),apply(X,Z)))
% -> (false)
% Current number of equations to process: 4618
% Current number of ordered equations: 0
% Current number of rules: 925
% New rule produced :
% [987]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),k),apply(Y,Z)),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),Z)),apply(Y,Z)))
% -> (false)
% Current number of equations to process: 4645
% Current number of ordered equations: 0
% Current number of rules: 926
% New rule produced :
% [988]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),s),Y),k),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),k)),apply(Y,k)))
% -> (false)
% Current number of equations to process: 4669
% Current number of ordered equations: 0
% Current number of rules: 927
% New rule produced :
% [989]
% (eq)(apply(X,apply(apply(apply(apply(apply(apply(apply(s,s),Y),s),s),s),k),Z)),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Z)),apply(X,Z)))
% -> (false)
% Current number of equations to process: 4687
% Current number of ordered equations: 0
% Current number of rules: 928
% New rule produced :
% [990]
% (eq)(apply(apply(apply(s,X),apply(apply(apply(s,apply(s,s)),apply(k,k)),Y)),X),
% apply(f(apply(k,apply(apply(X,X),X))),apply(apply(apply(apply(s,s),k),X),X)))
% -> (false)
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 929
% New rule produced :
% [991]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,Y)),apply(apply(apply(s,s),Z),k)),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Y)),Y)),apply(apply(X,Y),Y)))
% -> (false)
% Current number of equations to process: 4729
% Current number of ordered equations: 0
% Current number of rules: 930
% New rule produced :
% [992]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,X)),apply(apply(apply(s,s),Y),k)),
% apply(f(apply(k,apply(apply(X,X),X))),apply(apply(apply(apply(s,s),k),X),X)))
% -> (false)
% Current number of equations to process: 4760
% Current number of ordered equations: 0
% Current number of rules: 931
% New rule produced :
% [993]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),k),apply(Y,Z)),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),Z)),apply(Y,Z)))
% -> (false)
% Current number of equations to process: 4772
% Current number of ordered equations: 0
% Current number of rules: 932
% New rule produced :
% [994]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),s)),s),k),k),
% apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),Y)),apply(k,k))) ->
% (false)
% Current number of equations to process: 4797
% Current number of ordered equations: 0
% Current number of rules: 933
% New rule produced :
% [995]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),k),
% apply(k,k)),apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),Y)),
% apply(k,k))) -> (false)
% Current number of equations to process: 4809
% Current number of ordered equations: 0
% Current number of rules: 934
% New rule produced :
% [996]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),k),Y),
% apply(f(apply(apply(apply(apply(s,s),k),apply(s,apply(k,k))),apply(k,Y))),Y))
% -> (false)
% Current number of equations to process: 4822
% Current number of ordered equations: 0
% Current number of rules: 935
% New rule produced :
% [997]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),X)),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Y)),Y)),apply(apply(X,Y),Y)))
% -> (false)
% Current number of equations to process: 4838
% Current number of ordered equations: 0
% Current number of rules: 936
% New rule produced :
% [998]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(s,apply(s,k)),X)),X),
% apply(f(apply(k,apply(apply(X,X),X))),apply(apply(apply(apply(s,s),k),X),X)))
% -> (false)
% Current number of equations to process: 4886
% Current number of ordered equations: 0
% Current number of rules: 937
% New rule produced :
% [999]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),k),
% apply(k,k)),apply(f(apply(apply(apply(apply(s,apply(s,s)),k),k),Y)),
% apply(k,k))) -> (false)
% Current number of equations to process: 4898
% Current number of ordered equations: 0
% Current number of rules: 938
% New rule produced :
% [1000]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),k),Y),
% apply(f(apply(apply(apply(apply(s,s),k),apply(s,apply(k,k))),apply(k,Y))),Y))
% -> (false)
% Current number of equations to process: 4912
% Current number of ordered equations: 0
% Current number of rules: 939
% New rule produced :
% [1001]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Z)),Y)),Y)) ->
% (false)
% Current number of equations to process: 4927
% Current number of ordered equations: 1
% Current number of rules: 940
% New rule produced :
% [1002]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(k,apply(X,Y))),Z),V_3),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 4946
% Current number of ordered equations: 1
% Current number of rules: 941
% New rule produced :
% [1003]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),k),X),k),
% apply(f(apply(apply(apply(s,apply(k,k)),k),apply(k,k))),apply(k,apply(k,k))))
% -> (false)
% Current number of equations to process: 4975
% Current number of ordered equations: 1
% Current number of rules: 942
% New rule produced :
% [1004]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,apply(s,k))),apply(k,X)),Y),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 4986
% Current number of ordered equations: 1
% Current number of rules: 943
% New rule produced :
% [1005]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(k,s)),k),k),X),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Z)),k)),k)) ->
% (false)
% Current number of equations to process: 1199
% Current number of ordered equations: 2
% Current number of rules: 944
% New rule produced :
% [1006]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),k),X),
% apply(k,Y)),Z),apply(f(apply(apply(apply(s,apply(k,k)),apply(
% apply(s,k),V_3)),Y)),Y))
% -> (false)
% Current number of equations to process: 1199
% Current number of ordered equations: 1
% Current number of rules: 945
% New rule produced :
% [1007]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),apply(s,apply(k,s))),k),
% apply(k,X)),Y),apply(f(apply(apply(apply(s,apply(k,k)),apply(
% apply(s,k),Z)),X)),X))
% -> (false)
% Current number of equations to process: 1236
% Current number of ordered equations: 2
% Current number of rules: 946
% New rule produced :
% [1008]
% (eq)(apply(apply(apply(apply(s,s),k),apply(apply(apply(s,apply(k,s)),k),
% apply(k,X))),Y),apply(f(apply(apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(s,k),Z)),X)),X))
% -> (false)
% Current number of equations to process: 1236
% Current number of ordered equations: 1
% Current number of rules: 947
% New rule produced :
% [1009]
% (eq)(f(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(s,k)),apply(
% apply(s,k),X)),Y)),
% apply(f(apply(apply(s,k),Y)),f(apply(apply(s,k),Y)))) -> (false)
% Current number of equations to process: 1273
% Current number of ordered equations: 1
% Current number of rules: 948
% New rule produced :
% [1010]
% (eq)(apply(X,f(X)),apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),
% apply(apply(s,apply(k,s)),k)),k),
% f(X)),X)) -> (false)
% Current number of equations to process: 1280
% Current number of ordered equations: 1
% Current number of rules: 949
% New rule produced :
% [1011]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),apply(k,apply(k,X))),apply(k,Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),X),apply(Y,Z))),apply(X,apply(Y,Z))))
% -> (false)
% Current number of equations to process: 1294
% Current number of ordered equations: 1
% Current number of rules: 950
% New rule produced :
% [1012]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(k,apply(X,Y))),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 1328
% Current number of ordered equations: 1
% Current number of rules: 951
% New rule produced :
% [1013]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,X)),Y),apply(f(
% apply(
% apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),s),
% apply(k,k)),Z),
% apply(k,X))),X))
% -> (false)
% Current number of equations to process: 1350
% Current number of ordered equations: 1
% Current number of rules: 952
% New rule produced :
% [1014]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(s,apply(s,s))),k),X),
% apply(k,Y)),apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Z)),Y)),Y))
% -> (false)
% Current number of equations to process: 1368
% Current number of ordered equations: 1
% Current number of rules: 953
% New rule produced :
% [1015]
% (eq)(apply(apply(apply(apply(apply(s,apply(s,s)),s),s),k),apply(k,apply(X,Y))),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 1386
% Current number of ordered equations: 1
% Current number of rules: 954
% New rule produced :
% [1016]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(s,s)),s)),s),k),k),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),X)),k)),k)) ->
% (false)
% Current number of equations to process: 1407
% Current number of ordered equations: 1
% Current number of rules: 955
% New rule produced :
% [1017]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,k)),apply(k,X)),
% apply(k,Y)),apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),X)),Y)),Y))
% -> (false)
% Current number of equations to process: 1416
% Current number of ordered equations: 1
% Current number of rules: 956
% New rule produced :
% [1018]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(apply(s,s),Y)),k),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),Y),k)),X)),X))
% -> (false)
% Current number of equations to process: 1431
% Current number of ordered equations: 1
% Current number of rules: 957
% New rule produced :
% [1019]
% (eq)(X,apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),
% apply(apply(apply(apply(apply(s,s),Y),s),s),k)),X)) -> (false)
% Current number of equations to process: 1448
% Current number of ordered equations: 1
% Current number of rules: 958
% New rule produced :
% [1020]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),s),k),X),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(s,k)),X)),apply(apply(s,k),X)))
% -> (false)
% Current number of equations to process: 1457
% Current number of ordered equations: 1
% Current number of rules: 959
% New rule produced :
% [1021]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(apply(
% apply(
% apply(
% apply(s,s),Y),s),s),s),s),k)),X)),X))
% -> (false)
% Current number of equations to process: 1471
% Current number of ordered equations: 1
% Current number of rules: 960
% New rule produced :
% [1022]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(apply(s,
% apply(k,s)),
% apply(s,s)),Y),
% apply(k,X))),k)),X)) ->
% (false)
% Current number of equations to process: 1480
% Current number of ordered equations: 1
% Current number of rules: 961
% New rule produced :
% [1023]
% (eq)(apply(X,apply(k,X)),apply(f(apply(apply(apply(s,apply(k,k)),apply(
% apply(
% apply(s,s),k),
% apply(k,X))),Y)),
% apply(X,apply(k,X)))) -> (false)
% Current number of equations to process: 1491
% Current number of ordered equations: 1
% Current number of rules: 962
% New rule produced :
% [1024]
% (eq)(X,apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),k),
% apply(k,apply(k,X)))),Y)),X))
% -> (false)
% Current number of equations to process: 1491
% Current number of ordered equations: 1
% Current number of rules: 963
% New rule produced :
% [1025]
% (eq)(apply(apply(X,k),Y),apply(f(apply(apply(apply(apply(s,s),apply(s,
% apply(s,X))),
% apply(k,k)),apply(k,Y))),apply(
% apply(X,k),Y)))
% -> (false)
% Current number of equations to process: 1515
% Current number of ordered equations: 1
% Current number of rules: 964
% New rule produced :
% [1026]
% (eq)(apply(apply(X,Y),k),apply(f(apply(apply(apply(apply(s,apply(s,s)),
% apply(k,apply(k,k))),apply(s,X)),Y)),
% apply(apply(X,Y),k))) -> (false)
% Current number of equations to process: 1540
% Current number of ordered equations: 1
% Current number of rules: 965
% New rule produced :
% [1027]
% (eq)(apply(apply(s,X),k),apply(f(apply(apply(apply(apply(apply(s,s),s),s),
% apply(k,k)),X)),apply(apply(apply(s,s),
% apply(k,k)),X)))
% -> (false)
% Current number of equations to process: 1564
% Current number of ordered equations: 1
% Current number of rules: 966
% New rule produced :
% [1028]
% (eq)(apply(apply(apply(apply(s,s),k),X),Y),apply(f(apply(k,apply(apply(X,Y),X))),
% apply(apply(apply(s,apply(s,X)),
% apply(k,Y)),apply(k,X)))) ->
% (false)
% Current number of equations to process: 1573
% Current number of ordered equations: 1
% Current number of rules: 967
% New rule produced :
% [1029]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,apply(s,s)),apply(s,s)),
% apply(apply(apply(s,apply(k,k)),k),X)),k)))
% -> (false)
% Current number of equations to process: 1600
% Current number of ordered equations: 1
% Current number of rules: 968
% New rule produced :
% [1030]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),Z),k)),Y)),Y))
% -> (false)
% Current number of equations to process: 1608
% Current number of ordered equations: 1
% Current number of rules: 969
% New rule produced :
% [1031]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),s),X),apply(apply(s,k),Y)),Z),
% apply(f(apply(k,apply(apply(apply(s,X),Z),Z))),apply(apply(X,Z),apply(Z,Z))))
% -> (false)
% Current number of equations to process: 1626
% Current number of ordered equations: 1
% Current number of rules: 970
% New rule produced :
% [1032]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(k,apply(X,Y))),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 1652
% Current number of ordered equations: 1
% Current number of rules: 971
% New rule produced :
% [1033]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(k,X)),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),apply(k,X)),Y))
% -> (false)
% Current number of equations to process: 1676
% Current number of ordered equations: 1
% Current number of rules: 972
% New rule produced :
% [1034]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),s),apply(s,k)),apply(k,apply(X,Y))),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 1690
% Current number of ordered equations: 1
% Current number of rules: 973
% New rule produced :
% [1035]
% (eq)(apply(apply(apply(apply(s,s),apply(s,k)),apply(apply(apply(s,s),X),k)),Y),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),Y)),apply(Y,Y)))
% -> (false)
% Current number of equations to process: 1705
% Current number of ordered equations: 0
% Current number of rules: 974
% New rule produced :
% [1036]
% (eq)(apply(apply(apply(s,apply(s,X)),apply(k,Y)),apply(k,k)),apply(f(
% apply(
% apply(
% apply(
% apply(s,s),
% apply(s,X)),
% apply(k,k)),Y)),
% apply(apply(X,Y),k)))
% -> (false)
% Current number of equations to process: 1715
% Current number of ordered equations: 0
% Current number of rules: 975
% New rule produced :
% [1037]
% (eq)(k,apply(f(apply(apply(apply(apply(s,s),apply(apply(apply(apply(apply(
% apply(s,s),X),s),s),s),k)),
% apply(k,k)),Y)),k)) -> (false)
% Current number of equations to process: 1740
% Current number of ordered equations: 0
% Current number of rules: 976
% New rule produced :
% [1038]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),Z),k)),Y)),Y))
% -> (false)
% Current number of equations to process: 1733
% Current number of ordered equations: 1
% Current number of rules: 977
% New rule produced :
% [1039]
% (eq)(apply(apply(apply(apply(apply(apply(apply(apply(apply(s,s),X),s),s),s),s),s),k),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(s,k),Z)),Y)),Y)) ->
% (false)
% Current number of equations to process: 1733
% Current number of ordered equations: 0
% Current number of rules: 978
% New rule produced :
% [1040]
% (eq)(apply(apply(apply(apply(s,apply(s,s)),k),apply(k,X)),Y),apply(f(
% apply(
% apply(
% apply(s,
% apply(k,k)),
% apply(
% apply(
% apply(
% apply(s,s),Z),s),k)),X)),X))
% -> (false)
% Current number of equations to process: 1731
% Current number of ordered equations: 1
% Current number of rules: 979
% New rule produced :
% [1041]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),k),k),X),
% apply(f(apply(apply(apply(s,apply(k,k)),apply(apply(apply(s,s),Y),k)),k)),k))
% -> (false)
% Current number of equations to process: 1731
% Current number of ordered equations: 0
% Current number of rules: 980
% New rule produced :
% [1042]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(k,s)),s),apply(s,s)),k),k),X),
% apply(f(apply(apply(apply(apply(s,s),k),apply(s,apply(k,k))),apply(k,k))),k))
% -> (false)
% Current number of equations to process: 1730
% Current number of ordered equations: 0
% Current number of rules: 981
% New rule produced :
% [1043]
% (eq)(apply(apply(apply(s,apply(s,s)),apply(k,X)),apply(k,k)),apply(f(
% apply(
% apply(
% apply(
% apply(
% apply(s,s),s),s),
% apply(k,k)),X)),
% apply(apply(s,X),k)))
% -> (false)
% Current number of equations to process: 1726
% Current number of ordered equations: 0
% Current number of rules: 982
% New rule produced :
% [1044]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(apply(apply(s,
% apply(s,s)),k),s),s),k),
% apply(s,k)),apply(k,X)))) -> (false)
% Current number of equations to process: 1725
% Current number of ordered equations: 0
% Current number of rules: 983
% New rule produced :
% [1045]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),apply(k,apply(k,X))),
% apply(apply(apply(apply(s,s),Y),s),s)),k)))
% -> (false)
% Current number of equations to process: 1724
% Current number of ordered equations: 0
% Current number of rules: 984
% New rule produced :
% [1046]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),
% apply(apply(apply(s,s),Y),s)),s),
% apply(k,X)),k))) -> (false)
% Current number of equations to process: 1722
% Current number of ordered equations: 1
% Current number of rules: 985
% New rule produced :
% [1047]
% (eq)(s,apply(f(apply(k,s)),apply(apply(apply(apply(apply(apply(apply(s,
% apply(s,s)),k),s),
% apply(apply(s,s),X)),k),s),k)))
% -> (false)
% Current number of equations to process: 1722
% Current number of ordered equations: 0
% Current number of rules: 986
% New rule produced :
% [1048]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,apply(k,Y)),apply(k,Z))),V_3),
% apply(f(apply(apply(apply(s,apply(k,k)),X),apply(Y,Z))),apply(X,apply(Y,Z))))
% -> (false)
% Current number of equations to process: 1720
% Current number of ordered equations: 0
% Current number of rules: 987
% New rule produced :
% [1049]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),k),Y),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),Z),apply(Y,Z))),apply(Z,apply(Y,Z))))
% -> (false)
% Current number of equations to process: 1719
% Current number of ordered equations: 0
% Current number of rules: 988
% New rule produced :
% [1050]
% (eq)(apply(apply(X,Y),Y),apply(f(apply(apply(apply(s,apply(k,k)),apply(X,Y)),Y)),
% apply(apply(apply(s,X),apply(apply(s,k),Z)),Y))) ->
% (false)
% Current number of equations to process: 1718
% Current number of ordered equations: 0
% Current number of rules: 989
% New rule produced :
% [1051]
% (eq)(X,apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,X))),
% apply(apply(s,apply(s,k)),apply(apply(s,k),Y))),X)) -> (false)
% Current number of equations to process: 1715
% Current number of ordered equations: 0
% Current number of rules: 990
% New rule produced :
% [1052]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(apply(s,apply(s,s)),s),k)),Y),
% apply(f(apply(apply(apply(s,apply(k,k)),X),apply(s,k))),apply(X,apply(s,k))))
% -> (false)
% Current number of equations to process: 1714
% Current number of ordered equations: 0
% Current number of rules: 991
% New rule produced :
% [1053]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,apply(s,k)),apply(k,Y))),Z),
% apply(f(apply(apply(apply(apply(s,s),apply(k,X)),apply(k,k)),Y)),apply(X,Y)))
% -> (false)
% Current number of equations to process: 1713
% Current number of ordered equations: 0
% Current number of rules: 992
% New rule produced :
% [1054]
% (eq)(apply(apply(apply(s,apply(k,X)),apply(apply(s,apply(s,k)),apply(k,Y))),Z),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(X,Y)))),X),Y))
% -> (false)
% Current number of equations to process: 1711
% Current number of ordered equations: 0
% Current number of rules: 993
% New rule produced :
% [1055]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),X),k),Y),Z),
% apply(f(apply(k,apply(apply(apply(X,Y),Z),Y))),apply(apply(apply(X,Y),Z),Y)))
% -> (false)
% Current number of equations to process: 1708
% Current number of ordered equations: 0
% Current number of rules: 994
% New rule produced :
% [1056]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),Y),X),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,X)))),Y),X))
% -> (false)
% Current number of equations to process: 1704
% Current number of ordered equations: 0
% Current number of rules: 995
% New rule produced :
% [1057]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),Y),X),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),X)),apply(Y,X)))
% -> (false)
% Current number of equations to process: 1703
% Current number of ordered equations: 0
% Current number of rules: 996
% New rule produced :
% [1058]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),Y),k),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,apply(Y,k)))),Y),k))
% -> (false)
% Current number of equations to process: 1702
% Current number of ordered equations: 0
% Current number of rules: 997
% New rule produced :
% [1059]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),k),apply(apply(s,k),X)),Y),k),
% apply(f(apply(apply(apply(apply(s,s),apply(k,Y)),apply(k,k)),k)),apply(Y,k)))
% -> (false)
% Current number of equations to process: 1701
% Current number of ordered equations: 0
% Current number of rules: 998
% New rule produced :
% [1060]
% (eq)(apply(apply(apply(apply(s,s),apply(k,apply(k,X))),apply(k,apply(k,Y))),Z),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,Y))),apply(k,Y)),X))
% -> (false)
% Current number of equations to process: 1698
% Current number of ordered equations: 0
% Current number of rules: 999
% New rule produced :
% [1061]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),
% apply(s,k)),Y),apply(k,X)),
% apply(apply(s,k),Z)))) -> (false)
% Current number of equations to process: 1806
% Current number of ordered equations: 0
% Current number of rules: 1000
% New rule produced :
% [1062]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(apply(apply(s,
% apply(s,s)),k),s),
% apply(s,k)),k),Y),apply(k,X))))
% -> (false)
% Current number of equations to process: 1805
% Current number of ordered equations: 0
% Current number of rules: 1001
% New rule produced :
% [1063]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(apply(s,apply(k,s)),s),
% apply(s,k)),apply(k,X)),apply(
% apply(s,k),Y))))
% -> (false)
% Current number of equations to process: 1842
% Current number of ordered equations: 0
% Current number of rules: 1002
% New rule produced :
% [1064]
% (eq)(apply(apply(apply(apply(s,s),apply(s,apply(k,X))),apply(k,Y)),Z),
% apply(f(apply(apply(apply(s,apply(k,k)),Y),apply(X,Y))),apply(Y,apply(X,Y))))
% -> (false)
% Current number of equations to process: 1889
% Current number of ordered equations: 0
% Current number of rules: 1003
% New rule produced :
% [1065]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),k),Y),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Rule
% [304]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),k),
% apply(k,Y)),apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% collapsed.
% Rule
% [815]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,s),X)),k),
% apply(apply(s,k),Y)),apply(k,Z)),apply(f(apply(k,Z)),Z)) ->
% (false) collapsed.
% Current number of equations to process: 1889
% Current number of ordered equations: 0
% Current number of rules: 1002
% New rule produced :
% [1066]
% (eq)(apply(apply(X,Y),Y),apply(f(apply(k,apply(apply(X,Y),Y))),apply(
% apply(
% apply(s,X),
% apply(
% apply(s,k),Z)),Y)))
% -> (false)
% Current number of equations to process: 1928
% Current number of ordered equations: 0
% Current number of rules: 1003
% New rule produced :
% [1067]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),k),k),X),
% apply(f(apply(k,k)),k)) -> (false)
% Rule
% [674]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),s),k),k),
% apply(k,X)),apply(f(apply(k,k)),k)) -> (false) collapsed.
% Current number of equations to process: 2046
% Current number of ordered equations: 0
% Current number of rules: 1003
% New rule produced :
% [1068]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(k,X)),k),Y),Z),
% apply(f(apply(k,apply(apply(X,Z),Y))),apply(apply(X,Z),Y))) -> (false)
% Current number of equations to process: 2075
% Current number of ordered equations: 0
% Current number of rules: 1004
% New rule produced :
% [1069]
% (eq)(apply(apply(apply(apply(apply(apply(s,s),X),s),s),k),Y),apply(apply(
% apply(
% apply(
% apply(s,
% apply(k,s)),k),
% f(
% apply(k,Y))),
% apply(
% apply(s,k),Z)),Y))
% -> (false)
% Current number of equations to process: 2099
% Current number of ordered equations: 0
% Current number of rules: 1005
% New rule produced :
% [1070]
% (eq)(apply(apply(apply(apply(apply(apply(s,apply(s,s)),apply(k,s)),X),s),k),Y),
% apply(apply(apply(apply(apply(s,apply(k,s)),k),f(apply(k,Y))),apply(k,Y)),Z))
% -> (false)
% Current number of equations to process: 2160
% Current number of ordered equations: 0
% Current number of rules: 1006
% New rule produced :
% [1071]
% (eq)(apply(apply(apply(apply(s,s),apply(s,apply(k,X))),apply(k,apply(k,Y))),Z),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2221
% Current number of ordered equations: 0
% Current number of rules: 1007
% New rule produced :
% [1072]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),s)),k),Y),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Rule
% [721]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(s,s),X),s)),k),
% apply(k,Y)),apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% collapsed.
% Current number of equations to process: 2264
% Current number of ordered equations: 0
% Current number of rules: 1007
% New rule produced :
% [1073]
% (eq)(apply(apply(X,Y),Y),apply(f(apply(k,apply(apply(X,Y),Y))),apply(
% apply(
% apply(
% apply(s,s),
% apply(s,k)),X),Y)))
% -> (false)
% Current number of equations to process: 2275
% Current number of ordered equations: 0
% Current number of rules: 1008
% New rule produced :
% [1074]
% (eq)(apply(apply(X,Y),Y),apply(f(apply(k,apply(apply(X,Y),Y))),apply(
% apply(
% apply(s,X),
% apply(
% apply(
% apply(s,s),Z),k)),Y)))
% -> (false)
% Current number of equations to process: 2298
% Current number of ordered equations: 0
% Current number of rules: 1009
% New rule produced :
% [1075]
% (eq)(apply(apply(apply(apply(s,s),k),X),X),apply(f(apply(k,apply(apply(X,X),X))),
% apply(apply(apply(s,X),apply(
% apply(s,k),Y)),X)))
% -> (false)
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 1010
% New rule produced :
% [1076]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(k,k)),k),X),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2298
% Current number of ordered equations: 0
% Current number of rules: 1011
% New rule produced :
% [1077]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(k,
% apply(s,k))),k),X),Y),
% apply(f(apply(k,X)),X)) -> (false)
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 1012
% New rule produced :
% [1078]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(s,s),X)),Y),k),
% apply(k,Z)),apply(f(apply(k,Z)),Z)) -> (false)
% Rule
% [722]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(
% apply(s,s),X)),k),k),
% apply(k,Y)),apply(f(apply(k,Y)),Y)) -> (false) collapsed.
% Current number of equations to process: 2335
% Current number of ordered equations: 1
% Current number of rules: 1012
% New rule produced :
% [1079]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(s,apply(k,s)),
% apply(apply(s,s),X))),k),k),Y),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2335
% Current number of ordered equations: 0
% Current number of rules: 1013
% New rule produced :
% [1080]
% (eq)(apply(apply(apply(apply(apply(s,s),k),apply(apply(s,apply(k,s)),
% apply(apply(s,s),X))),k),apply(k,Y)),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2334
% Current number of ordered equations: 0
% Current number of rules: 1014
% New rule produced :
% [1081]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(apply(s,
% apply(s,s)),k),s),s)),k),X),k),
% apply(f(apply(k,k)),k)) -> (false)
% Rule
% [824]
% (eq)(apply(apply(apply(apply(apply(s,apply(k,s)),apply(apply(apply(apply(s,
% apply(s,s)),k),s),s)),k),k),k),
% apply(f(apply(k,k)),k)) -> (false) collapsed.
% Current number of equations to process: 2333
% Current number of ordered equations: 0
% Current number of rules: 1014
% New rule produced :
% [1082]
% (eq)(apply(apply(apply(apply(apply(apply(apply(s,apply(s,s)),k),s),apply(k,
% apply(k,X))),k),Y),Z),
% apply(f(apply(k,apply(X,Y))),apply(X,Y))) -> (false)
% Current number of equations to process: 2332
% Current number of ordered equations: 0
% Current number of rules: 1015
% New rule produced :
% [1083]
% (eq)(apply(apply(apply(apply(s,s),apply(s,apply(k,X))),apply(apply(apply(s,
% apply(k,k)),k),Y)),Z),
% apply(f(apply(k,Y)),Y)) -> (false)
% Current number of equations to process: 2378
% Current number of ordered equations: 0
% Current number of rules: 1016
% New rule produced :
% [1084]
% (eq)(X,apply(f(apply(k,X)),apply(apply(apply(apply(s,s),apply(s,k)),apply(s,k)),X)))
% -> (false)
% Current number of equations to process: 2403
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [1085]
% (eq)(k,apply(f(apply(k,k)),apply(apply(apply(apply(s,s),apply(s,k)),apply(
% Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------