TSTP Solution File: COL001-2 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : COL001-2 : TPTP v6.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n108.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 00:19:33 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 : COL001-2 : TPTP v6.0.0. Released v1.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n108.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 15:14:03 CDT 2014
% % CPUTime : 300.10
% Processing problem /tmp/CiME_31928_n108.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " combinator,x,i,b,k,s : constant; 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;
% apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z));
% apply(i,X) = X;
% apply(apply(apply(s,apply(b,X)),i),apply(apply(s,apply(b,X)),i)) = apply(x,apply(apply(apply(s,apply(b,X)),i),apply(apply(s,apply(b,X)),i)));
% ";
%
% let s1 = status F "
% combinator lr_lex;
% x lr_lex;
% i lr_lex;
% b lr_lex;
% k lr_lex;
% apply lr_lex;
% s lr_lex;
% ";
%
% let p1 = precedence F "
% apply > s > k > b > i > x > combinator";
%
% let s2 = status F "
% combinator mul;
% x mul;
% i mul;
% b mul;
% k mul;
% apply mul;
% s mul;
% ";
%
% let p2 = precedence F "
% apply > s = k = b = i = x = combinator";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " Y = apply(combinator,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,
% apply(apply(apply(b,X),Y),Z) =
% apply(X,apply(Y,Z)),
% apply(i,X) = X,
% apply(apply(apply(s,apply(b,X)),i),apply(
% apply(s,
% apply(b,X)),i))
% =
% apply(x,apply(apply(apply(s,apply(b,X)),i),
% apply(apply(s,apply(b,X)),i))) }
% (5 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
%
% [combinator] = 1;
% [x] = 2;
% [i] = 3;
% [b] = 4;
% [k] = 5;
% [s] = 6;
% [apply](x1,x2) = 1 + x1 + x2;
% Chosen ordering : KBO
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { Y = apply(combinator,Y) } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] (eq)(Y,apply(combinator,Y)) -> (false)
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 1
% New rule produced : [2] (eq)(X,X) -> (true)
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 2
% New rule produced : [3] apply(i,X) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 3
% New rule produced : [4] apply(apply(k,X),Y) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 4
% New rule produced : [5] apply(apply(apply(b,X),Y),Z) -> apply(X,apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 5
% New rule produced :
% [6] 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: 6
% New rule produced :
% [7] 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: 7
% New rule produced :
% [8]
% apply(x,apply(apply(apply(s,apply(b,X)),i),apply(apply(s,apply(b,X)),i))) ->
% apply(apply(apply(s,apply(b,X)),i),apply(apply(s,apply(b,X)),i))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] apply(apply(apply(s,k),Y),X) -> X
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] apply(X,apply(Y,X)) <-> apply(apply(apply(s,i),Y),X)
% Current number of equations to process: 4
% Current number of ordered equations: 3
% Current number of rules: 10
% New rule produced : [11] apply(apply(X,Y),Y) <-> apply(apply(apply(s,X),i),Y)
% Current number of equations to process: 4
% Current number of ordered equations: 2
% Current number of rules: 11
% New rule produced : [12] apply(apply(apply(s,X),i),Y) <-> apply(apply(X,Y),Y)
% Current number of equations to process: 4
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced : [13] apply(apply(apply(s,i),Y),X) <-> apply(X,apply(Y,X))
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14] apply(apply(apply(s,apply(k,X)),Y),Z) -> apply(X,apply(Y,Z))
% Current number of equations to process: 10
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [15] apply(apply(apply(s,X),apply(k,Z)),Y) -> apply(apply(X,Y),Z)
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16] apply(X,apply(Y,apply(Z,Y))) <-> apply(apply(apply(s,apply(b,X)),Z),Y)
% Current number of equations to process: 8
% Current number of ordered equations: 3
% Current number of rules: 16
% New rule produced :
% [17] apply(Y,apply(apply(X,Y),Z)) <-> apply(apply(apply(apply(s,b),X),Y),Z)
% Current number of equations to process: 8
% Current number of ordered equations: 2
% Current number of rules: 17
% New rule produced :
% [18] apply(apply(apply(apply(s,b),X),Y),Z) <-> apply(Y,apply(apply(X,Y),Z))
% Current number of equations to process: 8
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [19] apply(apply(apply(s,apply(b,X)),Z),Y) <-> apply(X,apply(Y,apply(Z,Y)))
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% apply(apply(Y,Z),apply(apply(X,Y),Z)) <->
% apply(apply(apply(apply(s,s),X),Y),Z)
% Current number of equations to process: 7
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [21]
% apply(apply(apply(apply(s,s),X),Y),Z) <->
% apply(apply(Y,Z),apply(apply(X,Y),Z))
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22]
% apply(apply(X,apply(Y,Z)),apply(V_3,Z)) <->
% apply(apply(apply(s,apply(apply(b,X),Y)),V_3),Z)
% Current number of equations to process: 5
% Current number of ordered equations: 3
% Current number of rules: 22
% New rule produced :
% [23]
% apply(apply(X,Y),apply(Z,apply(V_3,Y))) <->
% apply(apply(apply(s,X),apply(apply(b,Z),V_3)),Y)
% Current number of equations to process: 5
% Current number of ordered equations: 2
% Current number of rules: 23
% New rule produced :
% [24]
% apply(apply(apply(s,apply(apply(b,X),Y)),V_3),Z) <->
% apply(apply(X,apply(Y,Z)),apply(V_3,Z))
% Current number of equations to process: 5
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [25]
% apply(apply(apply(s,X),apply(apply(b,Z),V_3)),Y) <->
% apply(apply(X,Y),apply(Z,apply(V_3,Y)))
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26]
% apply(apply(X,apply(Y,Z)),apply(Z,apply(Y,Z))) <->
% apply(apply(apply(s,apply(s,X)),Y),Z)
% Current number of equations to process: 4
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [27]
% apply(apply(apply(s,apply(s,X)),Y),Z) <->
% apply(apply(X,apply(Y,Z)),apply(Z,apply(Y,Z)))
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [28]
% apply(apply(X,Y),apply(apply(Z,Y),apply(V_3,Y))) <->
% apply(apply(apply(s,X),apply(apply(s,Z),V_3)),Y)
% Current number of equations to process: 2
% Current number of ordered equations: 3
% Current number of rules: 28
% New rule produced :
% [29]
% apply(apply(apply(s,apply(apply(s,X),Z)),V_3),Y) <->
% apply(apply(apply(X,Y),apply(Z,Y)),apply(V_3,Y))
% Current number of equations to process: 2
% Current number of ordered equations: 2
% Current number of rules: 29
% New rule produced :
% [30]
% apply(apply(apply(X,Y),apply(Z,Y)),apply(V_3,Y)) <->
% apply(apply(apply(s,apply(apply(s,X),Z)),V_3),Y)
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [31]
% apply(apply(apply(s,X),apply(apply(s,Z),V_3)),Y) <->
% apply(apply(X,Y),apply(apply(Z,Y),apply(V_3,Y)))
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [32]
% apply(apply(apply(apply(s,X),Y),Z),apply(V_3,apply(Y,Z))) ->
% apply(apply(apply(s,apply(X,Z)),V_3),apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [33]
% apply(apply(X,apply(Y,Z)),apply(apply(apply(s,V_3),Y),Z)) ->
% apply(apply(apply(s,X),apply(V_3,Z)),apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [34] apply(apply(apply(s,apply(s,k)),X),Y) -> apply(X,Y)
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [35] apply(X,apply(Y,X)) <-> apply(apply(apply(s,apply(apply(s,k),Z)),Y),X)
% Current number of equations to process: 4
% Current number of ordered equations: 3
% Current number of rules: 35
% New rule produced :
% [36] apply(apply(X,Y),Y) <-> apply(apply(apply(s,X),apply(apply(s,k),Z)),Y)
% Current number of equations to process: 4
% Current number of ordered equations: 2
% Current number of rules: 36
% New rule produced :
% [37] apply(apply(apply(s,apply(apply(s,k),Z)),Y),X) <-> apply(X,apply(Y,X))
% Current number of equations to process: 4
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [38] apply(apply(apply(s,X),apply(apply(s,k),Z)),Y) <-> apply(apply(X,Y),Y)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [39] apply(X,X) <-> apply(apply(apply(s,i),i),X)
% Rule
% [8]
% apply(x,apply(apply(apply(s,apply(b,X)),i),apply(apply(s,apply(b,X)),i))) ->
% apply(apply(apply(s,apply(b,X)),i),apply(apply(s,apply(b,X)),i)) collapsed.
% Current number of equations to process: 7
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [40]
% apply(x,apply(apply(apply(s,i),i),apply(apply(s,apply(b,X)),i))) ->
% apply(apply(apply(s,i),i),apply(apply(s,apply(b,X)),i))
% Current number of equations to process: 6
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced : [41] apply(apply(apply(s,i),i),X) <-> apply(X,X)
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [42] apply(apply(apply(s,i),Y),apply(k,X)) -> X
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43]
% (eq)(apply(X,apply(Y,X)),apply(apply(apply(s,apply(b,combinator)),Y),X)) ->
% (false)
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44] apply(X,apply(X,Y)) <-> apply(apply(apply(apply(s,b),i),X),Y)
% Current number of equations to process: 88
% Current number of ordered equations: 3
% Current number of rules: 43
% New rule produced :
% [45] apply(X,apply(Y,Y)) <-> apply(apply(apply(s,apply(b,X)),i),Y)
% Current number of equations to process: 88
% Current number of ordered equations: 2
% Current number of rules: 44
% New rule produced :
% [46] apply(apply(apply(s,apply(b,X)),i),Y) <-> apply(X,apply(Y,Y))
% Current number of equations to process: 88
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [47] apply(apply(apply(apply(s,b),i),X),Y) <-> apply(X,apply(X,Y))
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [48] apply(X,apply(X,X)) <-> apply(apply(apply(s,apply(s,i)),i),X)
% Current number of equations to process: 87
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [49] apply(apply(apply(s,apply(s,i)),i),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [50] apply(apply(X,Y),X) <-> apply(apply(apply(apply(s,s),k),X),Y)
% Current number of equations to process: 86
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [51] apply(apply(apply(apply(s,s),k),X),Y) <-> apply(apply(X,Y),X)
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [52] apply(X,apply(Y,X)) <-> apply(apply(apply(s,apply(b,i)),Y),X)
% Current number of equations to process: 84
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [53] apply(apply(apply(s,apply(b,i)),Y),X) <-> apply(X,apply(Y,X))
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [54] apply(apply(apply(s,apply(b,apply(k,X))),Y),Z) -> X
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [55] apply(X,X) <-> apply(apply(apply(apply(s,b),k),X),Y)
% Current number of equations to process: 94
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced : [56] apply(apply(apply(apply(s,b),k),X),Y) <-> apply(X,X)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [57] apply(apply(apply(apply(s,b),Y),apply(k,X)),Z) -> X
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [58] apply(X,X) <-> apply(apply(apply(s,i),apply(apply(s,k),Y)),X)
% Current number of equations to process: 198
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [59] apply(apply(apply(s,i),apply(apply(s,k),Y)),X) <-> apply(X,X)
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [60] apply(apply(X,Y),apply(X,Y)) <-> apply(apply(apply(apply(s,s),i),X),Y)
% Current number of equations to process: 196
% Current number of ordered equations: 3
% Current number of rules: 59
% New rule produced :
% [61] apply(apply(X,Y),apply(Y,Y)) <-> apply(apply(apply(s,apply(s,X)),i),Y)
% Current number of equations to process: 196
% Current number of ordered equations: 2
% Current number of rules: 60
% New rule produced :
% [62] apply(apply(apply(apply(s,s),i),X),Y) <-> apply(apply(X,Y),apply(X,Y))
% Current number of equations to process: 196
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [63] apply(apply(apply(s,apply(s,X)),i),Y) <-> apply(apply(X,Y),apply(Y,Y))
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [64] apply(X,X) <-> apply(apply(apply(s,apply(apply(s,k),Y)),i),X)
% Current number of equations to process: 195
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [65] apply(apply(apply(s,apply(apply(s,k),Y)),i),X) <-> apply(X,X)
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [66] apply(X,X) <-> apply(apply(apply(apply(s,s),i),apply(k,X)),Y)
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [67] apply(apply(apply(apply(s,s),i),apply(k,X)),Y) <-> apply(X,X)
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [68] apply(apply(apply(s,apply(b,X)),Z),apply(k,Y)) -> apply(X,Y)
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [69] apply(apply(apply(apply(s,b),apply(s,k)),X),Y) -> apply(X,Y)
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [70] apply(apply(apply(s,apply(apply(b,k),X)),Z),Y) -> apply(X,Y)
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [71]
% apply(apply(apply(s,i),apply(Y,X)),X) ->
% apply(X,apply(apply(apply(s,Y),i),X))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [72]
% apply(apply(apply(apply(s,X),i),Y),Y) <->
% apply(apply(apply(s,apply(X,Y)),i),Y)
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [73]
% apply(apply(apply(s,apply(X,Y)),i),Y) <->
% apply(apply(apply(apply(s,X),i),Y),Y)
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [74]
% apply(apply(X,Y),apply(Y,apply(X,Y))) <->
% apply(apply(apply(s,apply(s,i)),X),Y)
% Current number of equations to process: 274
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [75]
% apply(apply(apply(s,apply(s,i)),X),Y) <->
% apply(apply(X,Y),apply(Y,apply(X,Y)))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [76] apply(X,apply(Y,Y)) <-> apply(apply(apply(s,apply(s,apply(k,X))),i),Y)
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [77] apply(apply(apply(s,apply(s,apply(k,X))),i),Y) <-> apply(X,apply(Y,Y))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [78] apply(Y,apply(X,Y)) <-> apply(apply(apply(apply(s,apply(b,k)),X),Y),Z)
% Current number of equations to process: 272
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [79] apply(apply(apply(apply(s,apply(b,k)),X),Y),Z) <-> apply(Y,apply(X,Y))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [80] apply(apply(apply(apply(s,apply(b,apply(s,k))),X),Y),Z) -> Z
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 79
% Rule [78]
% apply(Y,apply(X,Y)) <-> apply(apply(apply(apply(s,apply(b,k)),X),Y),Z) is composed into
% [78] apply(Y,apply(X,Y)) <-> apply(apply(k,apply(apply(apply(s,i),X),Y)),Z)
% Rule [52] apply(X,apply(Y,X)) <-> apply(apply(apply(s,apply(b,i)),Y),X) is composed into
% [52] apply(X,apply(Y,X)) <-> apply(i,apply(apply(apply(s,i),Y),X))
% Rule [45] apply(X,apply(Y,Y)) <-> apply(apply(apply(s,apply(b,X)),i),Y) is composed into
% [45] apply(X,apply(Y,Y)) <-> apply(X,apply(apply(apply(s,i),i),Y))
% Rule [16]
% apply(X,apply(Y,apply(Z,Y))) <-> apply(apply(apply(s,apply(b,X)),Z),Y) is composed into
% [16] apply(X,apply(Y,apply(Z,Y))) <-> apply(X,apply(apply(apply(s,i),Z),Y))
% New rule produced :
% [81]
% apply(apply(apply(s,apply(b,X)),Y),Z) ->
% apply(X,apply(apply(apply(s,i),Y),Z))
% Rule
% [19] apply(apply(apply(s,apply(b,X)),Z),Y) <-> apply(X,apply(Y,apply(Z,Y)))
% collapsed.
% Rule
% [43]
% (eq)(apply(X,apply(Y,X)),apply(apply(apply(s,apply(b,combinator)),Y),X)) ->
% (false) collapsed.
% Rule [46] apply(apply(apply(s,apply(b,X)),i),Y) <-> apply(X,apply(Y,Y))
% collapsed.
% Rule [53] apply(apply(apply(s,apply(b,i)),Y),X) <-> apply(X,apply(Y,X))
% collapsed.
% Rule [54] apply(apply(apply(s,apply(b,apply(k,X))),Y),Z) -> X collapsed.
% Rule [68] apply(apply(apply(s,apply(b,X)),Z),apply(k,Y)) -> apply(X,Y)
% collapsed.
% Rule
% [79] apply(apply(apply(apply(s,apply(b,k)),X),Y),Z) <-> apply(Y,apply(X,Y))
% collapsed.
% Rule [80] apply(apply(apply(apply(s,apply(b,apply(s,k))),X),Y),Z) -> Z
% collapsed.
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [82]
% (eq)(apply(X,apply(Y,X)),apply(combinator,apply(apply(apply(s,i),Y),X))) ->
% (false)
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [83]
% apply(apply(apply(apply(s,b),X),Y),Y) ->
% apply(Y,apply(apply(apply(s,X),i),Y))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [84] apply(apply(X,Y),Y) <-> apply(apply(apply(apply(s,s),apply(s,k)),X),Y)
% Current number of equations to process: 267
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [85] apply(apply(apply(apply(s,s),apply(s,k)),X),Y) <-> apply(apply(X,Y),Y)
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [86]
% apply(X,apply(Y,apply(Z,X))) <->
% apply(apply(apply(s,i),apply(apply(b,Y),Z)),X)
% Current number of equations to process: 291
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [87]
% apply(apply(apply(s,i),apply(apply(b,Y),Z)),X) <->
% apply(X,apply(Y,apply(Z,X)))
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [88]
% apply(apply(apply(s,i),X),apply(apply(s,k),Y)) ->
% apply(X,apply(apply(s,k),Y))
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [89]
% apply(apply(X,apply(Y,Z)),Z) <->
% apply(apply(apply(s,apply(apply(b,X),Y)),i),Z)
% Current number of equations to process: 289
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [90]
% apply(apply(apply(s,apply(apply(b,X),Y)),i),Z) <->
% apply(apply(X,apply(Y,Z)),Z)
% Current number of equations to process: 289
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [91]
% apply(X,apply(apply(Y,X),X)) <->
% apply(apply(apply(s,i),apply(apply(s,Y),i)),X)
% Current number of equations to process: 288
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [92]
% apply(apply(apply(s,i),apply(apply(s,Y),i)),X) <->
% apply(X,apply(apply(Y,X),X))
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [93]
% apply(apply(apply(X,Y),Y),Y) <->
% apply(apply(apply(s,apply(apply(s,X),i)),i),Y)
% Current number of equations to process: 287
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [94]
% apply(apply(apply(s,apply(apply(s,X),i)),i),Y) <->
% apply(apply(apply(X,Y),Y),Y)
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [95]
% apply(X,apply(X,apply(Y,X))) <->
% apply(apply(apply(s,i),apply(apply(s,i),Y)),X)
% Current number of equations to process: 286
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [96]
% apply(apply(apply(s,i),apply(apply(s,i),Y)),X) <->
% apply(X,apply(X,apply(Y,X)))
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [97]
% apply(apply(X,apply(Y,X)),X) <->
% apply(apply(apply(s,apply(apply(s,i),Y)),i),X)
% Current number of equations to process: 285
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [98]
% apply(apply(apply(s,apply(apply(s,i),Y)),i),X) <->
% apply(apply(X,apply(Y,X)),X)
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [99]
% apply(X,apply(Z,apply(Y,Z))) <->
% apply(apply(apply(s,apply(s,apply(k,X))),Y),Z)
% Current number of equations to process: 284
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [100]
% apply(apply(apply(s,apply(s,apply(k,X))),Y),Z) <->
% apply(X,apply(Z,apply(Y,Z)))
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [101]
% apply(apply(X,Y),apply(s,X)) <->
% apply(apply(apply(apply(s,i),k),apply(s,X)),Y)
% Current number of equations to process: 283
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [102]
% apply(apply(apply(apply(s,i),k),apply(s,X)),Y) <->
% apply(apply(X,Y),apply(s,X))
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [103]
% apply(apply(apply(s,apply(s,X)),i),apply(k,Y)) <->
% apply(apply(X,apply(k,Y)),Y)
% Current number of equations to process: 282
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [104]
% apply(apply(X,apply(k,Y)),Y) <->
% apply(apply(apply(s,apply(s,X)),i),apply(k,Y))
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [105]
% apply(X,apply(Y,apply(X,Z))) <->
% apply(apply(apply(apply(s,b),apply(b,Y)),X),Z)
% Current number of equations to process: 281
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [106]
% apply(apply(apply(apply(s,b),apply(b,Y)),X),Z) <->
% apply(X,apply(Y,apply(X,Z)))
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [107]
% apply(X,apply(Y,apply(X,Y))) <->
% apply(apply(apply(apply(s,b),apply(s,i)),X),Y)
% Current number of equations to process: 280
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [108]
% apply(apply(apply(apply(s,b),apply(s,i)),X),Y) <->
% apply(X,apply(Y,apply(X,Y)))
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [109]
% apply(X,apply(apply(X,X),Y)) <->
% apply(apply(apply(apply(s,apply(s,b)),i),X),Y)
% Current number of equations to process: 278
% Current number of ordered equations: 3
% Current number of rules: 100
% New rule produced :
% [110]
% apply(Y,apply(apply(X,Y),Y)) <->
% apply(apply(apply(s,apply(apply(s,b),X)),i),Y)
% Current number of equations to process: 278
% Current number of ordered equations: 2
% Current number of rules: 101
% New rule produced :
% [111]
% apply(apply(apply(s,apply(apply(s,b),X)),i),Y) <->
% apply(Y,apply(apply(X,Y),Y))
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [112]
% apply(apply(apply(apply(s,apply(s,b)),i),X),Y) <->
% apply(X,apply(apply(X,X),Y))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [113]
% apply(X,apply(Y,apply(Y,Y))) <->
% apply(apply(apply(s,apply(s,apply(b,X))),i),Y)
% Current number of equations to process: 277
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [114]
% apply(apply(apply(s,apply(s,apply(b,X))),i),Y) <->
% apply(X,apply(Y,apply(Y,Y)))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [115]
% apply(apply(apply(apply(s,s),X),apply(s,k)),Y) ->
% apply(apply(X,apply(s,k)),Y)
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [116]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(b,X),i)),Z),Y)
% Current number of equations to process: 273
% Current number of ordered equations: 3
% Current number of rules: 107
% New rule produced :
% [117]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(b,i),X)),Z),Y)
% Current number of equations to process: 273
% Current number of ordered equations: 2
% Current number of rules: 108
% New rule produced :
% [118]
% apply(apply(apply(s,apply(apply(b,X),i)),Z),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [119]
% apply(apply(apply(s,apply(apply(b,i),X)),Z),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [120] apply(apply(apply(s,apply(apply(b,apply(s,k)),Z)),X),Y) -> apply(X,Y)
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [121]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,X),apply(apply(b,Z),i)),Y)
% Current number of equations to process: 347
% Current number of ordered equations: 3
% Current number of rules: 112
% New rule produced :
% [122]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,X),apply(apply(b,i),Z)),Y)
% Current number of equations to process: 347
% Current number of ordered equations: 2
% Current number of rules: 113
% New rule produced :
% [123]
% apply(apply(apply(s,X),apply(apply(b,Z),i)),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 347
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [124]
% apply(apply(apply(s,X),apply(apply(b,i),Z)),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [125] apply(X,apply(Y,X)) <-> apply(apply(apply(s,apply(s,apply(s,k))),Y),X)
% Current number of equations to process: 462
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [126] apply(apply(apply(s,apply(s,apply(s,k))),Y),X) <-> apply(X,apply(Y,X))
% Current number of equations to process: 462
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [127]
% apply(apply(X,Y),apply(apply(apply(s,i),X),Y)) ->
% apply(apply(apply(s,i),Y),apply(X,Y))
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [128]
% apply(Y,apply(apply(X,apply(b,Y)),Z)) <->
% apply(apply(apply(apply(s,i),X),apply(b,Y)),Z)
% Current number of equations to process: 597
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [129]
% apply(apply(apply(apply(s,i),X),apply(b,Y)),Z) <->
% apply(Y,apply(apply(X,apply(b,Y)),Z))
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [130]
% apply(X,apply(apply(Y,X),apply(Z,X))) <->
% apply(apply(apply(s,i),apply(apply(s,Y),Z)),X)
% Current number of equations to process: 596
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [131]
% apply(apply(apply(s,i),apply(apply(s,Y),Z)),X) <->
% apply(X,apply(apply(Y,X),apply(Z,X)))
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [132]
% apply(apply(X,Y),apply(apply(apply(s,Z),i),Y)) ->
% apply(apply(apply(s,X),apply(Z,Y)),Y)
% Current number of equations to process: 594
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [133]
% apply(apply(apply(apply(s,X),i),Y),apply(Z,Y)) ->
% apply(apply(apply(s,apply(X,Y)),Z),Y)
% Current number of equations to process: 594
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [134]
% apply(apply(apply(X,Y),apply(Z,Y)),Y) <->
% apply(apply(apply(s,apply(apply(s,X),Z)),i),Y)
% Current number of equations to process: 593
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [135]
% apply(apply(apply(s,apply(apply(s,X),Z)),i),Y) <->
% apply(apply(apply(X,Y),apply(Z,Y)),Y)
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [136]
% apply(apply(apply(apply(s,i),X),Y),apply(X,Y)) ->
% apply(apply(apply(s,Y),i),apply(X,Y))
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [137]
% apply(apply(X,Y),apply(apply(Z,Y),Y)) <->
% apply(apply(apply(s,X),apply(apply(s,Z),i)),Y)
% Current number of equations to process: 590
% Current number of ordered equations: 3
% Current number of rules: 128
% New rule produced :
% [138]
% apply(apply(apply(X,Y),Y),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(s,X),i)),Z),Y)
% Current number of equations to process: 590
% Current number of ordered equations: 2
% Current number of rules: 129
% New rule produced :
% [139]
% apply(apply(apply(s,apply(apply(s,X),i)),Z),Y) <->
% apply(apply(apply(X,Y),Y),apply(Z,Y))
% Current number of equations to process: 590
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [140]
% apply(apply(apply(s,X),apply(apply(s,Z),i)),Y) <->
% apply(apply(X,Y),apply(apply(Z,Y),Y))
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [141]
% apply(apply(X,Y),apply(Y,apply(Z,Y))) <->
% apply(apply(apply(s,X),apply(apply(s,i),Z)),Y)
% Current number of equations to process: 588
% Current number of ordered equations: 3
% Current number of rules: 132
% New rule produced :
% [142]
% apply(apply(X,apply(Y,X)),apply(Z,X)) <->
% apply(apply(apply(s,apply(apply(s,i),Y)),Z),X)
% Current number of equations to process: 588
% Current number of ordered equations: 2
% Current number of rules: 133
% New rule produced :
% [143]
% apply(apply(apply(s,apply(apply(s,i),Y)),Z),X) <->
% apply(apply(X,apply(Y,X)),apply(Z,X))
% Current number of equations to process: 588
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [144]
% apply(apply(apply(s,X),apply(apply(s,i),Z)),Y) <->
% apply(apply(X,Y),apply(Y,apply(Z,Y)))
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [145]
% apply(Y,apply(apply(X,apply(k,Y)),Z)) <->
% apply(apply(apply(apply(s,s),X),apply(k,Y)),Z)
% Current number of equations to process: 587
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [146]
% apply(apply(apply(apply(s,s),X),apply(k,Y)),Z) <->
% apply(Y,apply(apply(X,apply(k,Y)),Z))
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [147]
% apply(apply(apply(s,apply(s,X)),Y),apply(k,Z)) <->
% apply(apply(X,apply(Y,apply(k,Z))),Z)
% Current number of equations to process: 586
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [148]
% apply(apply(X,apply(Y,apply(k,Z))),Z) <->
% apply(apply(apply(s,apply(s,X)),Y),apply(k,Z))
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [149]
% apply(apply(apply(apply(s,b),Y),X),apply(Z,X)) ->
% apply(X,apply(apply(apply(s,Y),Z),X))
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [150]
% apply(X,apply(apply(Y,Z),apply(X,Z))) <->
% apply(apply(apply(apply(s,b),apply(s,Y)),X),Z)
% Current number of equations to process: 581
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [151]
% apply(apply(apply(apply(s,b),apply(s,Y)),X),Z) <->
% apply(X,apply(apply(Y,Z),apply(X,Z)))
% Current number of equations to process: 581
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [152]
% apply(X,apply(X,Y)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,k),Z)),X),Y)
% Current number of equations to process: 580
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [153]
% apply(apply(apply(apply(s,b),apply(apply(s,k),Z)),X),Y) <->
% apply(X,apply(X,Y))
% Current number of equations to process: 580
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [154]
% apply(Z,apply(apply(X,Z),apply(Y,Z))) <->
% apply(apply(apply(s,apply(apply(s,b),X)),Y),Z)
% Current number of equations to process: 579
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [155]
% apply(apply(apply(s,apply(apply(s,b),X)),Y),Z) <->
% apply(Z,apply(apply(X,Z),apply(Y,Z)))
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [156]
% apply(X,apply(Y,apply(apply(b,X),Y))) <->
% apply(apply(apply(apply(s,s),i),apply(b,X)),Y)
% Current number of equations to process: 578
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [157]
% apply(apply(apply(apply(s,s),i),apply(b,X)),Y) <->
% apply(X,apply(Y,apply(apply(b,X),Y)))
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [158]
% apply(apply(X,Y),apply(Z,apply(X,Y))) <->
% apply(apply(apply(apply(s,s),apply(b,Z)),X),Y)
% Current number of equations to process: 576
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [159]
% apply(apply(apply(apply(s,s),apply(b,Z)),X),Y) <->
% apply(apply(X,Y),apply(Z,apply(X,Y)))
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [160]
% apply(apply(X,Y),apply(Y,apply(X,Y))) <->
% apply(apply(apply(apply(s,s),apply(s,i)),X),Y)
% Current number of equations to process: 574
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [161]
% apply(apply(apply(apply(s,s),apply(s,i)),X),Y) <->
% apply(apply(X,Y),apply(Y,apply(X,Y)))
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [162]
% apply(apply(X,Y),apply(apply(X,X),Y)) <->
% apply(apply(apply(apply(s,apply(s,s)),i),X),Y)
% Current number of equations to process: 572
% Current number of ordered equations: 3
% Current number of rules: 153
% New rule produced :
% [163]
% apply(apply(Y,Y),apply(apply(X,Y),Y)) <->
% apply(apply(apply(s,apply(apply(s,s),X)),i),Y)
% Current number of equations to process: 572
% Current number of ordered equations: 2
% Current number of rules: 154
% New rule produced :
% [164]
% apply(apply(apply(apply(s,apply(s,s)),i),X),Y) <->
% apply(apply(X,Y),apply(apply(X,X),Y))
% Current number of equations to process: 572
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [165]
% apply(apply(apply(s,apply(apply(s,s),X)),i),Y) <->
% apply(apply(Y,Y),apply(apply(X,Y),Y))
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [166]
% apply(apply(apply(s,apply(apply(b,apply(k,X)),V_3)),Y),Z) ->
% apply(X,apply(Y,Z))
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [167]
% apply(apply(apply(s,apply(apply(b,X),Y)),Y),Z) ->
% apply(apply(apply(s,X),i),apply(Y,Z))
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [168]
% apply(apply(apply(s,X),apply(apply(b,apply(k,Z)),V_3)),Y) ->
% apply(apply(X,Y),Z)
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [169]
% apply(apply(apply(s,Y),apply(apply(b,X),Y)),Z) ->
% apply(apply(apply(s,i),X),apply(Y,Z))
% Current number of equations to process: 568
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [170]
% apply(apply(apply(s,apply(s,apply(s,X))),k),Y) <->
% apply(apply(X,apply(Y,apply(k,Y))),Y)
% Current number of equations to process: 564
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [171]
% apply(apply(X,apply(Y,apply(k,Y))),Y) <->
% apply(apply(apply(s,apply(s,apply(s,X))),k),Y)
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [172]
% apply(apply(X,apply(Y,X)),X) <->
% apply(apply(apply(s,apply(apply(s,s),k)),Y),X)
% Current number of equations to process: 680
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [173]
% apply(apply(apply(s,apply(apply(s,s),k)),Y),X) <->
% apply(apply(X,apply(Y,X)),X)
% Current number of equations to process: 680
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [174]
% apply(X,apply(Y,apply(Z,apply(apply(b,X),Y)))) <->
% apply(apply(apply(s,i),Z),apply(apply(b,X),Y))
% Current number of equations to process: 821
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [175]
% apply(apply(apply(s,i),Z),apply(apply(b,X),Y)) <->
% apply(X,apply(Y,apply(Z,apply(apply(b,X),Y))))
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [176]
% apply(apply(X,Y),apply(apply(apply(s,Z),X),Y)) <->
% apply(apply(apply(s,i),apply(Z,Y)),apply(X,Y))
% Current number of equations to process: 820
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [177]
% apply(apply(apply(s,i),apply(Z,Y)),apply(X,Y)) <->
% apply(apply(X,Y),apply(apply(apply(s,Z),X),Y))
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [178]
% apply(apply(Y,Z),apply(apply(X,apply(s,Y)),Z)) <->
% apply(apply(apply(apply(s,i),X),apply(s,Y)),Z)
% Current number of equations to process: 819
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [179]
% apply(apply(apply(apply(s,i),X),apply(s,Y)),Z) <->
% apply(apply(Y,Z),apply(apply(X,apply(s,Y)),Z))
% Current number of equations to process: 819
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [180]
% apply(apply(apply(apply(s,X),Y),Z),apply(Y,Z)) <->
% apply(apply(apply(s,apply(X,Z)),i),apply(Y,Z))
% Current number of equations to process: 818
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [181]
% apply(apply(apply(s,apply(X,Z)),i),apply(Y,Z)) <->
% apply(apply(apply(apply(s,X),Y),Z),apply(Y,Z))
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [182]
% apply(X,apply(Y,apply(Z,X))) <->
% apply(apply(apply(s,i),apply(apply(s,apply(k,Y)),Z)),X)
% Current number of equations to process: 817
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [183]
% apply(apply(apply(s,i),apply(apply(s,apply(k,Y)),Z)),X) <->
% apply(X,apply(Y,apply(Z,X)))
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [184]
% apply(apply(X,apply(Y,Z)),Z) <->
% apply(apply(apply(s,apply(apply(s,apply(k,X)),Y)),i),Z)
% Current number of equations to process: 816
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [185]
% apply(apply(apply(s,apply(apply(s,apply(k,X)),Y)),i),Z) <->
% apply(apply(X,apply(Y,Z)),Z)
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [186]
% apply(X,apply(apply(Y,X),Z)) <->
% apply(apply(apply(s,i),apply(apply(s,Y),apply(k,Z))),X)
% Current number of equations to process: 815
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [187]
% apply(apply(apply(s,i),apply(apply(s,Y),apply(k,Z))),X) <->
% apply(X,apply(apply(Y,X),Z))
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [188]
% apply(apply(apply(X,Y),Z),Y) <->
% apply(apply(apply(s,apply(apply(s,X),apply(k,Z))),i),Y)
% Current number of equations to process: 814
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [189]
% apply(apply(apply(s,apply(apply(s,X),apply(k,Z))),i),Y) <->
% apply(apply(apply(X,Y),Z),Y)
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [190]
% apply(apply(apply(apply(s,b),Y),apply(X,Z)),Z) <->
% apply(apply(apply(s,X),apply(Y,apply(X,Z))),Z)
% Current number of equations to process: 812
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [191]
% apply(apply(apply(s,X),apply(Y,apply(X,Z))),Z) <->
% apply(apply(apply(apply(s,b),Y),apply(X,Z)),Z)
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [192]
% apply(apply(apply(apply(s,b),apply(Y,X)),X),Z) ->
% apply(X,apply(apply(apply(apply(s,Y),i),X),Z))
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [193]
% apply(X,apply(Y,apply(X,Z))) <->
% apply(apply(apply(apply(s,b),apply(s,apply(k,Y))),X),Z)
% Current number of equations to process: 809
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [194]
% apply(apply(apply(apply(s,b),apply(s,apply(k,Y))),X),Z) <->
% apply(X,apply(Y,apply(X,Z)))
% Current number of equations to process: 809
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [195]
% apply(apply(X,Y),apply(apply(Y,apply(X,Y)),Z)) <->
% apply(apply(apply(apply(s,apply(s,b)),X),Y),Z)
% Current number of equations to process: 807
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [196]
% apply(apply(apply(apply(s,apply(s,b)),X),Y),Z) <->
% apply(apply(X,Y),apply(apply(Y,apply(X,Y)),Z))
% Current number of equations to process: 807
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [197]
% apply(X,apply(apply(Y,Z),apply(Z,apply(Y,Z)))) <->
% apply(apply(apply(s,apply(s,apply(b,X))),Y),Z)
% Current number of equations to process: 805
% Current number of ordered equations: 3
% Current number of rules: 188
% New rule produced :
% [198]
% apply(Y,apply(Z,apply(apply(X,apply(b,Y)),Z))) <->
% apply(apply(apply(apply(s,s),X),apply(b,Y)),Z)
% Current number of equations to process: 805
% Current number of ordered equations: 2
% Current number of rules: 189
% New rule produced :
% [199]
% apply(apply(apply(s,apply(s,apply(b,X))),Y),Z) <->
% apply(X,apply(apply(Y,Z),apply(Z,apply(Y,Z))))
% Current number of equations to process: 805
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [200]
% apply(apply(apply(apply(s,s),X),apply(b,Y)),Z) <->
% apply(Y,apply(Z,apply(apply(X,apply(b,Y)),Z)))
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [201]
% apply(apply(X,Y),apply(apply(Z,Y),apply(X,Y))) <->
% apply(apply(apply(apply(s,s),apply(s,Z)),X),Y)
% Current number of equations to process: 803
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [202]
% apply(apply(apply(apply(s,s),apply(s,Z)),X),Y) <->
% apply(apply(X,Y),apply(apply(Z,Y),apply(X,Y)))
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [203]
% apply(apply(X,Y),apply(X,Y)) <->
% apply(apply(apply(apply(s,s),apply(apply(s,k),Z)),X),Y)
% Current number of equations to process: 802
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [204]
% apply(apply(apply(apply(s,s),apply(apply(s,k),Z)),X),Y) <->
% apply(apply(X,Y),apply(X,Y))
% Current number of equations to process: 802
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [205]
% apply(apply(apply(s,apply(apply(b,X),apply(k,Y))),Z),V_3) ->
% apply(apply(X,Y),apply(Z,V_3))
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [206]
% apply(apply(apply(s,apply(apply(b,Y),X)),Z),Y) ->
% apply(apply(apply(apply(s,i),X),Y),apply(Z,Y))
% Current number of equations to process: 800
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [207]
% apply(Y,apply(apply(X,Y),Z)) <->
% apply(apply(apply(apply(s,apply(apply(b,s),k)),X),Y),Z)
% Current number of equations to process: 799
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [208]
% apply(apply(apply(apply(s,apply(apply(b,s),k)),X),Y),Z) <->
% apply(Y,apply(apply(X,Y),Z))
% Current number of equations to process: 799
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [209]
% apply(apply(X,apply(Y,Z)),Z) <->
% apply(apply(apply(s,apply(apply(b,apply(s,X)),k)),Y),Z)
% Current number of equations to process: 797
% Current number of ordered equations: 3
% Current number of rules: 200
% New rule produced :
% [210]
% apply(apply(apply(X,Y),Z),Y) <->
% apply(apply(apply(apply(s,apply(apply(b,s),X)),k),Y),Z)
% Current number of equations to process: 797
% Current number of ordered equations: 2
% Current number of rules: 201
% New rule produced :
% [211]
% apply(apply(apply(apply(s,apply(apply(b,s),X)),k),Y),Z) <->
% apply(apply(apply(X,Y),Z),Y)
% Current number of equations to process: 797
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [212]
% apply(apply(apply(s,apply(apply(b,apply(s,X)),k)),Y),Z) <->
% apply(apply(X,apply(Y,Z)),Z)
% Current number of equations to process: 797
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [213]
% apply(apply(apply(s,X),apply(apply(b,Z),apply(k,V_3))),Y) ->
% apply(apply(X,Y),apply(Z,V_3))
% Current number of equations to process: 796
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [214]
% apply(apply(apply(s,X),apply(apply(b,Y),Z)),Y) ->
% apply(apply(X,Y),apply(apply(apply(s,i),Z),Y))
% Current number of equations to process: 795
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [215]
% apply(apply(Y,Z),apply(X,Y)) <->
% apply(apply(apply(apply(s,s),apply(apply(b,k),X)),Y),Z)
% Current number of equations to process: 794
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [216]
% apply(apply(apply(apply(s,s),apply(apply(b,k),X)),Y),Z) <->
% apply(apply(Y,Z),apply(X,Y))
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [217]
% apply(apply(X,Y),apply(Y,Y)) <->
% apply(apply(apply(s,apply(s,X)),apply(apply(s,k),Z)),Y)
% Current number of equations to process: 790
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [218]
% apply(apply(apply(s,apply(s,X)),apply(apply(s,k),Z)),Y) <->
% apply(apply(X,Y),apply(Y,Y))
% Current number of equations to process: 790
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [219]
% apply(apply(apply(s,apply(s,apply(s,X))),i),Y) <->
% apply(apply(X,apply(Y,Y)),apply(Y,apply(Y,Y)))
% Current number of equations to process: 789
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [220]
% apply(apply(X,apply(Y,Y)),apply(Y,apply(Y,Y))) <->
% apply(apply(apply(s,apply(s,apply(s,X))),i),Y)
% Current number of equations to process: 789
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [221]
% apply(apply(apply(s,X),apply(apply(s,apply(s,k)),Z)),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 788
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [222]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,X),apply(apply(s,apply(s,k)),Z)),Y)
% Current number of equations to process: 788
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [223]
% apply(apply(apply(s,Z),apply(apply(s,X),Z)),Y) <->
% apply(apply(apply(s,i),apply(X,Y)),apply(Z,Y))
% Current number of equations to process: 787
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [224]
% apply(apply(apply(s,i),apply(X,Y)),apply(Z,Y)) <->
% apply(apply(apply(s,Z),apply(apply(s,X),Z)),Y)
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [225]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(s,apply(s,k)),X)),Z),Y)
% Current number of equations to process: 786
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [226]
% apply(apply(apply(s,apply(apply(s,apply(s,k)),X)),Z),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [227]
% apply(apply(apply(s,apply(X,Y)),i),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(s,X),Z)),Z),Y)
% Current number of equations to process: 785
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [228]
% apply(apply(apply(s,apply(apply(s,X),Z)),Z),Y) <->
% apply(apply(apply(s,apply(X,Y)),i),apply(Z,Y))
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [229]
% apply(apply(X,apply(Y,Z)),apply(V_3,Z)) <->
% apply(apply(apply(s,apply(apply(s,apply(k,X)),Y)),V_3),Z)
% Current number of equations to process: 820
% Current number of ordered equations: 3
% Current number of rules: 220
% New rule produced :
% [230]
% apply(apply(X,Y),apply(Z,apply(V_3,Y))) <->
% apply(apply(apply(s,X),apply(apply(s,apply(k,Z)),V_3)),Y)
% Current number of equations to process: 820
% Current number of ordered equations: 2
% Current number of rules: 221
% New rule produced :
% [231]
% apply(apply(apply(s,apply(apply(s,apply(k,X)),Y)),V_3),Z) <->
% apply(apply(X,apply(Y,Z)),apply(V_3,Z))
% Current number of equations to process: 820
% Current number of ordered equations: 1
% Current number of rules: 222
% New rule produced :
% [232]
% apply(apply(apply(s,X),apply(apply(s,apply(k,Z)),V_3)),Y) <->
% apply(apply(X,Y),apply(Z,apply(V_3,Y)))
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [233]
% apply(apply(X,Y),apply(apply(Z,Y),V_3)) <->
% apply(apply(apply(s,X),apply(apply(s,Z),apply(k,V_3))),Y)
% Current number of equations to process: 818
% Current number of ordered equations: 3
% Current number of rules: 224
% New rule produced :
% [234]
% apply(apply(apply(X,Y),Z),apply(V_3,Y)) <->
% apply(apply(apply(s,apply(apply(s,X),apply(k,Z))),V_3),Y)
% Current number of equations to process: 818
% Current number of ordered equations: 2
% Current number of rules: 225
% New rule produced :
% [235]
% apply(apply(apply(s,apply(apply(s,X),apply(k,Z))),V_3),Y) <->
% apply(apply(apply(X,Y),Z),apply(V_3,Y))
% Current number of equations to process: 818
% Current number of ordered equations: 1
% Current number of rules: 226
% New rule produced :
% [236]
% apply(apply(apply(s,X),apply(apply(s,Z),apply(k,V_3))),Y) <->
% apply(apply(X,Y),apply(apply(Z,Y),V_3))
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [237]
% apply(apply(apply(Y,apply(X,Y)),Z),Z) <->
% apply(apply(apply(s,apply(apply(apply(s,i),X),Y)),i),Z)
% Current number of equations to process: 810
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced :
% [238]
% apply(apply(apply(s,apply(apply(apply(s,i),X),Y)),i),Z) <->
% apply(apply(apply(Y,apply(X,Y)),Z),Z)
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [239]
% apply(Z,apply(apply(Y,apply(X,Y)),Z)) <->
% apply(apply(apply(s,i),apply(apply(apply(s,i),X),Y)),Z)
% Current number of equations to process: 808
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [240]
% apply(apply(apply(s,i),apply(apply(apply(s,i),X),Y)),Z) <->
% apply(Z,apply(apply(Y,apply(X,Y)),Z))
% Current number of equations to process: 808
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [241]
% apply(X,apply(apply(Y,apply(Z,X)),V_3)) <->
% apply(apply(apply(apply(s,b),apply(apply(b,Y),Z)),X),V_3)
% Current number of equations to process: 807
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [242]
% apply(apply(apply(apply(s,b),apply(apply(b,Y),Z)),X),V_3) <->
% apply(X,apply(apply(Y,apply(Z,X)),V_3))
% Current number of equations to process: 807
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [243]
% apply(apply(apply(apply(s,b),X),apply(apply(s,k),Y)),Z) ->
% apply(apply(X,apply(apply(s,k),Y)),Z)
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [244]
% apply(X,apply(apply(apply(Y,X),X),Z)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,Y),i)),X),Z)
% Current number of equations to process: 805
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [245]
% apply(apply(apply(apply(s,b),apply(apply(s,Y),i)),X),Z) <->
% apply(X,apply(apply(apply(Y,X),X),Z))
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [246]
% apply(X,apply(apply(X,apply(Y,X)),Z)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,i),Y)),X),Z)
% Current number of equations to process: 804
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [247]
% apply(apply(apply(apply(s,b),apply(apply(s,i),Y)),X),Z) <->
% apply(X,apply(apply(X,apply(Y,X)),Z))
% Current number of equations to process: 804
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [248]
% apply(X,apply(Y,apply(apply(Z,Y),X))) <->
% apply(apply(apply(s,i),apply(apply(apply(s,b),Z),Y)),X)
% Current number of equations to process: 803
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [249]
% apply(apply(apply(s,i),apply(apply(apply(s,b),Z),Y)),X) <->
% apply(X,apply(Y,apply(apply(Z,Y),X)))
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [250]
% apply(apply(X,apply(apply(Y,X),Z)),Z) <->
% apply(apply(apply(s,apply(apply(apply(s,b),Y),X)),i),Z)
% Current number of equations to process: 802
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [251]
% apply(apply(apply(s,apply(apply(apply(s,b),Y),X)),i),Z) <->
% apply(apply(X,apply(apply(Y,X),Z)),Z)
% Current number of equations to process: 802
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [252]
% apply(X,apply(X,apply(apply(Y,X),Z))) <->
% apply(apply(apply(apply(s,b),apply(apply(s,b),Y)),X),Z)
% Current number of equations to process: 801
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [253]
% apply(apply(apply(apply(s,b),apply(apply(s,b),Y)),X),Z) <->
% apply(X,apply(X,apply(apply(Y,X),Z)))
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [254]
% apply(X,apply(Y,apply(X,apply(Z,X)))) <->
% apply(apply(apply(s,i),apply(apply(s,apply(b,Y)),Z)),X)
% Current number of equations to process: 800
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [255]
% apply(apply(apply(s,i),apply(apply(s,apply(b,Y)),Z)),X) <->
% apply(X,apply(Y,apply(X,apply(Z,X))))
% Current number of equations to process: 800
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [256]
% apply(apply(X,apply(Y,apply(Z,Y))),Y) <->
% apply(apply(apply(s,apply(apply(s,apply(b,X)),Z)),i),Y)
% Current number of equations to process: 799
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [257]
% apply(apply(apply(s,apply(apply(s,apply(b,X)),Z)),i),Y) <->
% apply(apply(X,apply(Y,apply(Z,Y))),Y)
% Current number of equations to process: 799
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [258]
% apply(X,apply(Y,apply(Z,apply(X,Z)))) <->
% apply(apply(apply(apply(s,b),apply(s,apply(b,Y))),X),Z)
% Current number of equations to process: 798
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [259]
% apply(apply(apply(apply(s,b),apply(s,apply(b,Y))),X),Z) <->
% apply(X,apply(Y,apply(Z,apply(X,Z))))
% Current number of equations to process: 798
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [260]
% apply(apply(X,Y),apply(Z,apply(X,Y))) <->
% apply(apply(apply(apply(s,s),apply(s,apply(k,Z))),X),Y)
% Current number of equations to process: 797
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [261]
% apply(apply(apply(apply(s,s),apply(s,apply(k,Z))),X),Y) <->
% apply(apply(X,Y),apply(Z,apply(X,Y)))
% Current number of equations to process: 797
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [262]
% apply(X,apply(apply(Y,Z),apply(V_3,Z))) <->
% apply(apply(apply(s,apply(apply(b,apply(b,X)),Y)),V_3),Z)
% Current number of equations to process: 795
% Current number of ordered equations: 3
% Current number of rules: 253
% New rule produced :
% [263]
% apply(apply(X,Z),apply(apply(Y,Z),V_3)) <->
% apply(apply(apply(apply(s,apply(apply(b,b),X)),Y),Z),V_3)
% Current number of equations to process: 795
% Current number of ordered equations: 2
% Current number of rules: 254
% New rule produced :
% [264]
% apply(apply(apply(apply(s,apply(apply(b,b),X)),Y),Z),V_3) <->
% apply(apply(X,Z),apply(apply(Y,Z),V_3))
% Current number of equations to process: 795
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced :
% [265]
% apply(apply(apply(s,apply(apply(b,apply(b,X)),Y)),V_3),Z) <->
% apply(X,apply(apply(Y,Z),apply(V_3,Z)))
% Current number of equations to process: 795
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [266]
% apply(apply(X,apply(Y,Z)),apply(Z,Z)) <->
% apply(apply(apply(s,apply(s,apply(apply(b,X),Y))),i),Z)
% Current number of equations to process: 792
% Current number of ordered equations: 3
% Current number of rules: 257
% New rule produced :
% [267]
% apply(apply(X,apply(X,Z)),apply(Y,Z)) <->
% apply(apply(apply(s,apply(apply(apply(s,b),i),X)),Y),Z)
% Current number of equations to process: 792
% Current number of ordered equations: 2
% Current number of rules: 258
% New rule produced :
% [268]
% apply(apply(apply(s,apply(apply(apply(s,b),i),X)),Y),Z) <->
% apply(apply(X,apply(X,Z)),apply(Y,Z))
% Current number of equations to process: 792
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced :
% [269]
% apply(apply(apply(s,apply(s,apply(apply(b,X),Y))),i),Z) <->
% apply(apply(X,apply(Y,Z)),apply(Z,Z))
% Current number of equations to process: 792
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [270]
% apply(apply(X,Z),apply(Y,apply(Y,Z))) <->
% apply(apply(apply(s,X),apply(apply(apply(s,b),i),Y)),Z)
% Current number of equations to process: 791
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [271]
% apply(apply(apply(s,X),apply(apply(apply(s,b),i),Y)),Z) <->
% apply(apply(X,Z),apply(Y,apply(Y,Z)))
% Current number of equations to process: 791
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [272]
% apply(apply(X,Y),apply(Y,apply(X,Y))) <->
% apply(apply(apply(s,apply(s,apply(apply(s,k),Z))),X),Y)
% Current number of equations to process: 790
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [273]
% apply(apply(apply(s,apply(s,apply(apply(s,k),Z))),X),Y) <->
% apply(apply(X,Y),apply(Y,apply(X,Y)))
% Current number of equations to process: 790
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [274] apply(X,X) <-> apply(apply(apply(s,apply(s,apply(s,k))),i),X)
% Current number of equations to process: 917
% Current number of ordered equations: 1
% Current number of rules: 265
% New rule produced :
% [275] apply(apply(apply(s,apply(s,apply(s,k))),i),X) <-> apply(X,X)
% Current number of equations to process: 917
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [276] apply(apply(apply(s,apply(apply(s,k),Y)),Z),apply(k,X)) -> X
% Current number of equations to process: 978
% Current number of ordered equations: 0
% Current number of rules: 267
% Rule [64] apply(X,X) <-> apply(apply(apply(s,apply(apply(s,k),Y)),i),X) is composed into
% [64] apply(X,X) <-> apply(apply(apply(s,i),i),X)
% Rule [35]
% apply(X,apply(Y,X)) <-> apply(apply(apply(s,apply(apply(s,k),Z)),Y),X) is composed into
% [35] apply(X,apply(Y,X)) <-> apply(apply(apply(s,i),Y),X)
% New rule produced :
% [277]
% apply(apply(apply(s,apply(apply(s,k),Z)),X),Y) ->
% apply(apply(apply(s,i),X),Y)
% Rule
% [37] apply(apply(apply(s,apply(apply(s,k),Z)),Y),X) <-> apply(X,apply(Y,X))
% collapsed.
% Rule [65] apply(apply(apply(s,apply(apply(s,k),Y)),i),X) <-> apply(X,X)
% collapsed.
% Rule [276] apply(apply(apply(s,apply(apply(s,k),Y)),Z),apply(k,X)) -> X
% collapsed.
% Current number of equations to process: 998
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [278]
% apply(X,apply(Y,X)) <->
% apply(apply(apply(s,i),apply(apply(s,apply(s,k)),Y)),X)
% Current number of equations to process: 1008
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [279]
% apply(apply(apply(s,i),apply(apply(s,apply(s,k)),Y)),X) <->
% apply(X,apply(Y,X))
% Current number of equations to process: 1008
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [280]
% apply(apply(apply(s,apply(apply(s,apply(s,k)),X)),i),Y) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 1007
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [281]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,apply(apply(s,apply(s,k)),X)),i),Y)
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [282]
% apply(X,apply(X,Y)) <->
% apply(apply(apply(apply(s,b),apply(s,apply(s,k))),X),Y)
% Current number of equations to process: 1006
% Current number of ordered equations: 1
% Current number of rules: 270
% New rule produced :
% [283]
% apply(apply(apply(apply(s,b),apply(s,apply(s,k))),X),Y) <->
% apply(X,apply(X,Y))
% Current number of equations to process: 1006
% Current number of ordered equations: 0
% Current number of rules: 271
% Rule [217]
% apply(apply(X,Y),apply(Y,Y)) <->
% apply(apply(apply(s,apply(s,X)),apply(apply(s,k),Z)),Y) is composed into
% [217] apply(apply(X,Y),apply(Y,Y)) <-> apply(apply(apply(s,apply(s,X)),i),Y)
% Rule [203]
% apply(apply(X,Y),apply(X,Y)) <->
% apply(apply(apply(apply(s,s),apply(apply(s,k),Z)),X),Y) is composed into
% [203] apply(apply(X,Y),apply(X,Y)) <-> apply(apply(apply(apply(s,s),i),X),Y)
% Rule [152]
% apply(X,apply(X,Y)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,k),Z)),X),Y) is composed into
% [152] apply(X,apply(X,Y)) <-> apply(apply(apply(apply(s,b),i),X),Y)
% Rule [58] apply(X,X) <-> apply(apply(apply(s,i),apply(apply(s,k),Y)),X) is composed into
% [58] apply(X,X) <-> apply(apply(apply(s,i),i),X)
% Rule [36]
% apply(apply(X,Y),Y) <-> apply(apply(apply(s,X),apply(apply(s,k),Z)),Y) is composed into
% [36] apply(apply(X,Y),Y) <-> apply(apply(apply(s,X),i),Y)
% New rule produced :
% [284]
% apply(apply(apply(s,X),apply(apply(s,k),Z)),Y) ->
% apply(apply(apply(s,X),i),Y)
% Rule
% [38] apply(apply(apply(s,X),apply(apply(s,k),Z)),Y) <-> apply(apply(X,Y),Y)
% collapsed.
% Rule [59] apply(apply(apply(s,i),apply(apply(s,k),Y)),X) <-> apply(X,X)
% collapsed.
% Rule
% [153]
% apply(apply(apply(apply(s,b),apply(apply(s,k),Z)),X),Y) <->
% apply(X,apply(X,Y)) collapsed.
% Rule
% [204]
% apply(apply(apply(apply(s,s),apply(apply(s,k),Z)),X),Y) <->
% apply(apply(X,Y),apply(X,Y)) collapsed.
% Rule
% [218]
% apply(apply(apply(s,apply(s,X)),apply(apply(s,k),Z)),Y) <->
% apply(apply(X,Y),apply(Y,Y)) collapsed.
% Current number of equations to process: 1072
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [285] apply(apply(apply(s,i),i),apply(X,Y)) <-> apply(apply(apply(s,X),X),Y)
% Current number of equations to process: 1126
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [286] apply(apply(apply(s,X),X),Y) <-> apply(apply(apply(s,i),i),apply(X,Y))
% Current number of equations to process: 1126
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [287] apply(X,apply(apply(apply(s,i),i),X)) -> apply(apply(apply(s,i),X),X)
% Current number of equations to process: 1125
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [288] apply(apply(apply(apply(s,i),i),X),X) -> apply(apply(apply(s,X),i),X)
% Current number of equations to process: 1124
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [289]
% apply(X,apply(Y,apply(apply(b,X),Y))) <->
% apply(apply(apply(s,i),i),apply(apply(b,X),Y))
% Current number of equations to process: 1130
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [290]
% apply(apply(apply(s,i),i),apply(apply(b,X),Y)) <->
% apply(X,apply(Y,apply(apply(b,X),Y)))
% Current number of equations to process: 1130
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [291]
% apply(X,apply(apply(apply(apply(s,i),i),X),Y)) ->
% apply(apply(apply(apply(s,b),X),X),Y)
% Current number of equations to process: 1126
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [292]
% apply(apply(apply(s,i),i),apply(X,apply(Y,X))) ->
% apply(apply(apply(s,apply(s,X)),Y),X)
% Current number of equations to process: 1125
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [293]
% apply(apply(X,Y),apply(X,Y)) <->
% apply(apply(apply(apply(s,s),apply(s,apply(s,k))),X),Y)
% Current number of equations to process: 1129
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [294]
% apply(apply(apply(apply(s,s),apply(s,apply(s,k))),X),Y) <->
% apply(apply(X,Y),apply(X,Y))
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [295]
% apply(apply(apply(apply(s,i),X),apply(s,apply(s,k))),Y) ->
% apply(apply(X,apply(s,apply(s,k))),Y)
% Current number of equations to process: 1128
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [296]
% apply(apply(X,Y),apply(Y,apply(X,Y))) <->
% apply(apply(apply(s,apply(s,apply(s,apply(s,k)))),X),Y)
% Current number of equations to process: 1127
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [297]
% apply(apply(apply(s,apply(s,apply(s,apply(s,k)))),X),Y) <->
% apply(apply(X,Y),apply(Y,apply(X,Y)))
% Current number of equations to process: 1127
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [298]
% apply(apply(X,Y),apply(apply(apply(apply(s,i),i),X),Y)) ->
% apply(apply(apply(apply(s,s),X),X),Y)
% Current number of equations to process: 1113
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [299]
% apply(X,apply(apply(s,apply(s,k)),X)) <->
% apply(apply(apply(s,i),i),apply(apply(s,apply(s,k)),X))
% Current number of equations to process: 1112
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [300]
% apply(apply(apply(s,i),i),apply(apply(s,apply(s,k)),X)) <->
% apply(X,apply(apply(s,apply(s,k)),X))
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [301]
% apply(Y,apply(apply(X,apply(s,apply(k,Y))),Z)) <->
% apply(apply(apply(apply(s,i),X),apply(s,apply(k,Y))),Z)
% Current number of equations to process: 1117
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced :
% [302]
% apply(apply(apply(apply(s,i),X),apply(s,apply(k,Y))),Z) <->
% apply(Y,apply(apply(X,apply(s,apply(k,Y))),Z))
% Current number of equations to process: 1117
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [303]
% apply(apply(X,V_3),apply(apply(Z,apply(Y,Z)),V_3)) <->
% apply(apply(apply(s,X),apply(apply(apply(s,i),Y),Z)),V_3)
% Current number of equations to process: 1114
% Current number of ordered equations: 3
% Current number of rules: 286
% New rule produced :
% [304]
% apply(apply(apply(Y,apply(X,Y)),V_3),apply(Z,V_3)) <->
% apply(apply(apply(s,apply(apply(apply(s,i),X),Y)),Z),V_3)
% Current number of equations to process: 1114
% Current number of ordered equations: 2
% Current number of rules: 287
% New rule produced :
% [305]
% apply(apply(apply(s,apply(apply(apply(s,i),X),Y)),Z),V_3) <->
% apply(apply(apply(Y,apply(X,Y)),V_3),apply(Z,V_3))
% Current number of equations to process: 1114
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [306]
% apply(apply(apply(s,X),apply(apply(apply(s,i),Y),Z)),V_3) <->
% apply(apply(X,V_3),apply(apply(Z,apply(Y,Z)),V_3))
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [307]
% apply(Y,apply(apply(apply(X,apply(b,Y)),Z),V_3)) <->
% apply(apply(apply(apply(apply(s,b),X),apply(b,Y)),Z),V_3)
% Current number of equations to process: 1109
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced :
% [308]
% apply(apply(apply(apply(apply(s,b),X),apply(b,Y)),Z),V_3) <->
% apply(Y,apply(apply(apply(X,apply(b,Y)),Z),V_3))
% Current number of equations to process: 1109
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [309]
% apply(X,apply(apply(apply(Y,X),apply(Z,X)),V_3)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,Y),Z)),X),V_3)
% Current number of equations to process: 1108
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced :
% [310]
% apply(apply(apply(apply(s,b),apply(apply(s,Y),Z)),X),V_3) <->
% apply(X,apply(apply(apply(Y,X),apply(Z,X)),V_3))
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [311]
% apply(apply(X,Y),apply(apply(apply(apply(s,i),X),Y),Z)) ->
% apply(apply(apply(apply(s,b),Y),apply(X,Y)),Z)
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [312]
% apply(apply(X,Y),apply(Z,apply(apply(V_3,Z),Y))) <->
% apply(apply(apply(s,X),apply(apply(apply(s,b),V_3),Z)),Y)
% Current number of equations to process: 1105
% Current number of ordered equations: 3
% Current number of rules: 295
% New rule produced :
% [313]
% apply(apply(X,apply(apply(Y,X),Z)),apply(V_3,Z)) <->
% apply(apply(apply(s,apply(apply(apply(s,b),Y),X)),V_3),Z)
% Current number of equations to process: 1105
% Current number of ordered equations: 2
% Current number of rules: 296
% New rule produced :
% [314]
% apply(apply(apply(s,apply(apply(apply(s,b),Y),X)),V_3),Z) <->
% apply(apply(X,apply(apply(Y,X),Z)),apply(V_3,Z))
% Current number of equations to process: 1105
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [315]
% apply(apply(apply(s,X),apply(apply(apply(s,b),V_3),Z)),Y) <->
% apply(apply(X,Y),apply(Z,apply(apply(V_3,Z),Y)))
% Current number of equations to process: 1105
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [316]
% apply(apply(X,Y),apply(Z,apply(Y,apply(V_3,Y)))) <->
% apply(apply(apply(s,X),apply(apply(s,apply(b,Z)),V_3)),Y)
% Current number of equations to process: 1103
% Current number of ordered equations: 3
% Current number of rules: 299
% New rule produced :
% [317]
% apply(apply(X,apply(Y,apply(Z,Y))),apply(V_3,Y)) <->
% apply(apply(apply(s,apply(apply(s,apply(b,X)),Z)),V_3),Y)
% Current number of equations to process: 1103
% Current number of ordered equations: 2
% Current number of rules: 300
% New rule produced :
% [318]
% apply(apply(apply(s,apply(apply(s,apply(b,X)),Z)),V_3),Y) <->
% apply(apply(X,apply(Y,apply(Z,Y))),apply(V_3,Y))
% Current number of equations to process: 1103
% Current number of ordered equations: 1
% Current number of rules: 301
% New rule produced :
% [319]
% apply(apply(apply(s,X),apply(apply(s,apply(b,Z)),V_3)),Y) <->
% apply(apply(X,Y),apply(Z,apply(Y,apply(V_3,Y))))
% Current number of equations to process: 1103
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [320]
% apply(apply(X,Y),apply(apply(Z,apply(V_3,X)),Y)) <->
% apply(apply(apply(apply(s,s),apply(apply(b,Z),V_3)),X),Y)
% Current number of equations to process: 1102
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [321]
% apply(apply(apply(apply(s,s),apply(apply(b,Z),V_3)),X),Y) <->
% apply(apply(X,Y),apply(apply(Z,apply(V_3,X)),Y))
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [322]
% apply(X,apply(apply(Y,apply(apply(s,k),Z)),X)) <->
% apply(apply(apply(apply(s,s),Y),apply(apply(s,k),Z)),X)
% Current number of equations to process: 1101
% Current number of ordered equations: 1
% Current number of rules: 305
% New rule produced :
% [323]
% apply(apply(apply(apply(s,s),Y),apply(apply(s,k),Z)),X) <->
% apply(X,apply(apply(Y,apply(apply(s,k),Z)),X))
% Current number of equations to process: 1101
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [324]
% apply(apply(X,Y),apply(apply(apply(apply(s,Z),i),X),Y)) ->
% apply(apply(apply(apply(s,s),apply(Z,X)),X),Y)
% Rule
% [298]
% apply(apply(X,Y),apply(apply(apply(apply(s,i),i),X),Y)) ->
% apply(apply(apply(apply(s,s),X),X),Y) collapsed.
% Current number of equations to process: 1100
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [325]
% apply(apply(X,Y),apply(apply(apply(Z,X),X),Y)) <->
% apply(apply(apply(apply(s,s),apply(apply(s,Z),i)),X),Y)
% Current number of equations to process: 1099
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [326]
% apply(apply(apply(apply(s,s),apply(apply(s,Z),i)),X),Y) <->
% apply(apply(X,Y),apply(apply(apply(Z,X),X),Y))
% Current number of equations to process: 1099
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [327]
% apply(apply(X,Y),apply(apply(X,apply(Z,X)),Y)) <->
% apply(apply(apply(apply(s,s),apply(apply(s,i),Z)),X),Y)
% Current number of equations to process: 1098
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [328]
% apply(apply(apply(apply(s,s),apply(apply(s,i),Z)),X),Y) <->
% apply(apply(X,Y),apply(apply(X,apply(Z,X)),Y))
% Current number of equations to process: 1098
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [329]
% apply(apply(X,Y),apply(X,apply(apply(Z,X),Y))) <->
% apply(apply(apply(apply(s,s),apply(apply(s,b),Z)),X),Y)
% Current number of equations to process: 1096
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced :
% [330]
% apply(apply(apply(apply(s,s),apply(apply(s,b),Z)),X),Y) <->
% apply(apply(X,Y),apply(X,apply(apply(Z,X),Y)))
% Current number of equations to process: 1096
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [331]
% apply(apply(X,Y),apply(Z,apply(Y,apply(X,Y)))) <->
% apply(apply(apply(apply(s,s),apply(s,apply(b,Z))),X),Y)
% Current number of equations to process: 1095
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [332]
% apply(apply(apply(apply(s,s),apply(s,apply(b,Z))),X),Y) <->
% apply(apply(X,Y),apply(Z,apply(Y,apply(X,Y))))
% Current number of equations to process: 1095
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [333]
% apply(apply(apply(X,Y),Z),apply(apply(Y,apply(X,Y)),Z)) <->
% apply(apply(apply(apply(s,apply(s,s)),X),Y),Z)
% Current number of equations to process: 1093
% Current number of ordered equations: 3
% Current number of rules: 315
% New rule produced :
% [334]
% apply(apply(Z,apply(Y,Z)),apply(apply(X,Z),apply(Y,Z))) <->
% apply(apply(apply(s,apply(apply(s,s),X)),Y),Z)
% Current number of equations to process: 1093
% Current number of ordered equations: 2
% Current number of rules: 316
% New rule produced :
% [335]
% apply(apply(apply(apply(s,apply(s,s)),X),Y),Z) <->
% apply(apply(apply(X,Y),Z),apply(apply(Y,apply(X,Y)),Z))
% Current number of equations to process: 1093
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [336]
% apply(apply(apply(s,apply(apply(s,s),X)),Y),Z) <->
% apply(apply(Z,apply(Y,Z)),apply(apply(X,Z),apply(Y,Z)))
% Current number of equations to process: 1093
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [337]
% apply(X,apply(apply(Y,X),apply(apply(Z,Y),X))) <->
% apply(apply(apply(s,i),apply(apply(apply(s,s),Z),Y)),X)
% Current number of equations to process: 1092
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced :
% [338]
% apply(apply(apply(s,i),apply(apply(apply(s,s),Z),Y)),X) <->
% apply(X,apply(apply(Y,X),apply(apply(Z,Y),X)))
% Current number of equations to process: 1092
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [339]
% apply(apply(apply(X,Y),apply(apply(Z,X),Y)),Y) <->
% apply(apply(apply(s,apply(apply(apply(s,s),Z),X)),i),Y)
% Current number of equations to process: 1091
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [340]
% apply(apply(apply(s,apply(apply(apply(s,s),Z),X)),i),Y) <->
% apply(apply(apply(X,Y),apply(apply(Z,X),Y)),Y)
% Current number of equations to process: 1091
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [341]
% apply(X,apply(apply(X,Y),apply(apply(Z,X),Y))) <->
% apply(apply(apply(apply(s,b),apply(apply(s,s),Z)),X),Y)
% Current number of equations to process: 1090
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [342]
% apply(apply(apply(apply(s,b),apply(apply(s,s),Z)),X),Y) <->
% apply(X,apply(apply(X,Y),apply(apply(Z,X),Y)))
% Current number of equations to process: 1090
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [343]
% apply(apply(apply(s,apply(apply(b,apply(X,Z)),Y)),V_3),Z) ->
% apply(apply(apply(apply(s,X),Y),Z),apply(V_3,Z))
% Current number of equations to process: 1089
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [344]
% apply(apply(apply(X,Z),V_3),apply(apply(Y,Z),V_3)) <->
% apply(apply(apply(apply(s,apply(apply(b,s),X)),Y),Z),V_3)
% Current number of equations to process: 1088
% Current number of ordered equations: 1
% Current number of rules: 326
% New rule produced :
% [345]
% apply(apply(apply(apply(s,apply(apply(b,s),X)),Y),Z),V_3) <->
% apply(apply(apply(X,Z),V_3),apply(apply(Y,Z),V_3))
% Current number of equations to process: 1088
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [346]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(b,X),apply(apply(s,k),V_3))),Z),Y)
% Current number of equations to process: 1085
% Current number of ordered equations: 3
% Current number of rules: 328
% New rule produced :
% [347]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(b,apply(apply(s,k),V_3)),X)),Z),Y)
% Current number of equations to process: 1085
% Current number of ordered equations: 2
% Current number of rules: 329
% New rule produced :
% [348]
% apply(apply(apply(s,apply(apply(b,X),apply(apply(s,k),V_3))),Z),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 1085
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced :
% [349]
% apply(apply(apply(s,apply(apply(b,apply(apply(s,k),V_3)),X)),Z),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 1085
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [350]
% apply(apply(X,Y),apply(apply(Z,Y),apply(X,Y))) <->
% apply(apply(apply(s,apply(apply(b,apply(s,i)),Z)),X),Y)
% Current number of equations to process: 1084
% Current number of ordered equations: 1
% Current number of rules: 332
% New rule produced :
% [351]
% apply(apply(apply(s,apply(apply(b,apply(s,i)),Z)),X),Y) <->
% apply(apply(X,Y),apply(apply(Z,Y),apply(X,Y)))
% Current number of equations to process: 1084
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [352]
% apply(apply(apply(s,X),apply(apply(b,apply(Z,Y)),V_3)),Y) ->
% apply(apply(X,Y),apply(apply(apply(s,Z),V_3),Y))
% Current number of equations to process: 1083
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [353]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,X),apply(apply(b,Z),apply(apply(s,k),V_3))),Y)
% Current number of equations to process: 1079
% Current number of ordered equations: 3
% Current number of rules: 335
% New rule produced :
% [354]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,X),apply(apply(b,apply(apply(s,k),V_3)),Z)),Y)
% Current number of equations to process: 1079
% Current number of ordered equations: 2
% Current number of rules: 336
% New rule produced :
% [355]
% apply(apply(apply(s,X),apply(apply(b,Z),apply(apply(s,k),V_3))),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 1079
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [356]
% apply(apply(apply(s,X),apply(apply(b,apply(apply(s,k),V_3)),Z)),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 1079
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [357]
% apply(apply(X,apply(Y,Z)),apply(X,apply(Y,Z))) <->
% apply(apply(apply(apply(s,s),i),apply(apply(b,X),Y)),Z)
% Current number of equations to process: 1076
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [358]
% apply(apply(apply(apply(s,s),i),apply(apply(b,X),Y)),Z) <->
% apply(apply(X,apply(Y,Z)),apply(X,apply(Y,Z)))
% Current number of equations to process: 1076
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [359]
% apply(apply(Y,Z),apply(X,apply(apply(s,Y),Z))) <->
% apply(apply(apply(apply(s,i),apply(b,X)),apply(s,Y)),Z)
% Current number of equations to process: 1074
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [360]
% apply(apply(apply(apply(s,i),apply(b,X)),apply(s,Y)),Z) <->
% apply(apply(Y,Z),apply(X,apply(apply(s,Y),Z)))
% Current number of equations to process: 1074
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [361]
% apply(apply(X,Z),apply(apply(s,X),apply(Y,Z))) <->
% apply(apply(apply(apply(apply(s,b),b),apply(s,X)),Y),Z)
% Current number of equations to process: 1072
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced :
% [362]
% apply(apply(apply(apply(apply(s,b),b),apply(s,X)),Y),Z) <->
% apply(apply(X,Z),apply(apply(s,X),apply(Y,Z)))
% Current number of equations to process: 1072
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [363]
% apply(X,apply(apply(Y,Z),apply(Z,apply(Y,Z)))) <->
% apply(apply(apply(s,apply(s,apply(s,apply(k,X)))),Y),Z)
% Current number of equations to process: 1070
% Current number of ordered equations: 1
% Current number of rules: 345
% New rule produced :
% [364]
% apply(apply(apply(s,apply(s,apply(s,apply(k,X)))),Y),Z) <->
% apply(X,apply(apply(Y,Z),apply(Z,apply(Y,Z))))
% Current number of equations to process: 1070
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [365]
% apply(apply(apply(X,Z),apply(Y,Z)),apply(Z,Z)) <->
% apply(apply(apply(s,apply(s,apply(apply(s,X),Y))),i),Z)
% Current number of equations to process: 1062
% Current number of ordered equations: 3
% Current number of rules: 347
% New rule produced :
% [366]
% apply(apply(apply(X,Z),apply(X,Z)),apply(Y,Z)) <->
% apply(apply(apply(s,apply(apply(apply(s,s),i),X)),Y),Z)
% Current number of equations to process: 1062
% Current number of ordered equations: 2
% Current number of rules: 348
% New rule produced :
% [367]
% apply(apply(apply(s,apply(apply(apply(s,s),i),X)),Y),Z) <->
% apply(apply(apply(X,Z),apply(X,Z)),apply(Y,Z))
% Current number of equations to process: 1062
% Current number of ordered equations: 1
% Current number of rules: 349
% New rule produced :
% [368]
% apply(apply(apply(s,apply(s,apply(apply(s,X),Y))),i),Z) <->
% apply(apply(apply(X,Z),apply(Y,Z)),apply(Z,Z))
% Current number of equations to process: 1062
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [369]
% apply(apply(X,Z),apply(apply(Y,Z),apply(Y,Z))) <->
% apply(apply(apply(s,X),apply(apply(apply(s,s),i),Y)),Z)
% Current number of equations to process: 1058
% Current number of ordered equations: 1
% Current number of rules: 351
% New rule produced :
% [370]
% apply(apply(apply(s,X),apply(apply(apply(s,s),i),Y)),Z) <->
% apply(apply(X,Z),apply(apply(Y,Z),apply(Y,Z)))
% Current number of equations to process: 1058
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [371]
% apply(apply(apply(apply(s,s),apply(X,Y)),apply(k,Y)),Z) ->
% apply(Y,apply(apply(apply(apply(s,X),k),Y),Z))
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [372]
% apply(apply(apply(s,apply(s,X)),apply(Y,Z)),apply(k,Z)) ->
% apply(apply(X,apply(apply(apply(s,Y),k),Z)),Z)
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [373]
% apply(Y,apply(X,apply(apply(s,apply(s,k)),Y))) <->
% apply(apply(apply(s,i),X),apply(apply(s,apply(s,k)),Y))
% Current number of equations to process: 1055
% Current number of ordered equations: 1
% Current number of rules: 355
% New rule produced :
% [374]
% apply(apply(apply(s,i),X),apply(apply(s,apply(s,k)),Y)) <->
% apply(Y,apply(X,apply(apply(s,apply(s,k)),Y)))
% Current number of equations to process: 1055
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [375]
% apply(X,apply(apply(Y,X),Z)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,apply(s,k)),Y)),X),Z)
% Current number of equations to process: 1053
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [376]
% apply(apply(apply(apply(s,b),apply(apply(s,apply(s,k)),Y)),X),Z) <->
% apply(X,apply(apply(Y,X),Z))
% Current number of equations to process: 1053
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [377]
% apply(Y,apply(apply(X,apply(s,apply(s,k))),Y)) <->
% apply(apply(apply(apply(s,s),X),apply(s,apply(s,k))),Y)
% Current number of equations to process: 1052
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [378]
% apply(apply(apply(apply(s,s),X),apply(s,apply(s,k))),Y) <->
% apply(Y,apply(apply(X,apply(s,apply(s,k))),Y))
% Current number of equations to process: 1052
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [379]
% apply(apply(X,Z),apply(Y,Z)) <->
% apply(apply(apply(s,apply(apply(b,apply(s,apply(s,k))),X)),Y),Z)
% Current number of equations to process: 1051
% Current number of ordered equations: 1
% Current number of rules: 361
% New rule produced :
% [380]
% apply(apply(apply(s,apply(apply(b,apply(s,apply(s,k))),X)),Y),Z) <->
% apply(apply(X,Z),apply(Y,Z))
% Current number of equations to process: 1051
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [381]
% apply(Z,apply(X,apply(Y,Z))) <->
% apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(b,X),Y)),Z)
% Current number of equations to process: 1050
% Current number of ordered equations: 1
% Current number of rules: 363
% New rule produced :
% [382]
% apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(b,X),Y)),Z) <->
% apply(Z,apply(X,apply(Y,Z)))
% Current number of equations to process: 1050
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [383]
% apply(X,apply(Y,apply(apply(s,apply(k,X)),Y))) <->
% apply(apply(apply(s,i),i),apply(apply(s,apply(k,X)),Y))
% Current number of equations to process: 1034
% Current number of ordered equations: 1
% Current number of rules: 365
% New rule produced :
% [384]
% apply(apply(apply(s,i),i),apply(apply(s,apply(k,X)),Y)) <->
% apply(X,apply(Y,apply(apply(s,apply(k,X)),Y)))
% Current number of equations to process: 1034
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [385]
% apply(apply(apply(s,i),i),apply(apply(s,X),apply(k,Y))) <->
% apply(apply(X,apply(apply(s,X),apply(k,Y))),Y)
% Current number of equations to process: 1033
% Current number of ordered equations: 1
% Current number of rules: 367
% New rule produced :
% [386]
% apply(apply(X,apply(apply(s,X),apply(k,Y))),Y) <->
% apply(apply(apply(s,i),i),apply(apply(s,X),apply(k,Y)))
% Current number of equations to process: 1033
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [387]
% apply(apply(X,apply(Y,Z)),apply(apply(apply(s,i),i),Z)) ->
% apply(apply(apply(s,apply(apply(b,X),Y)),Z),Z)
% Current number of equations to process: 1031
% Current number of ordered equations: 1
% Current number of rules: 369
% New rule produced :
% [388]
% apply(apply(X,apply(apply(apply(s,i),i),Y)),apply(Z,Y)) ->
% apply(apply(apply(s,apply(apply(b,X),Y)),Z),Y)
% Current number of equations to process: 1031
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [389]
% apply(apply(X,Y),apply(Z,apply(apply(apply(s,i),i),Y))) ->
% apply(apply(apply(s,X),apply(apply(b,Z),Y)),Y)
% Current number of equations to process: 1029
% Current number of ordered equations: 1
% Current number of rules: 371
% New rule produced :
% [390]
% apply(apply(apply(apply(s,i),i),X),apply(Y,apply(Z,X))) ->
% apply(apply(apply(s,X),apply(apply(b,Y),Z)),X)
% Current number of equations to process: 1029
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [391]
% apply(apply(X,Y),apply(apply(apply(s,i),i),apply(Z,Y))) <->
% apply(apply(apply(s,X),apply(apply(s,Z),Z)),Y)
% Current number of equations to process: 1028
% Current number of ordered equations: 1
% Current number of rules: 373
% New rule produced :
% [392]
% apply(apply(apply(s,X),apply(apply(s,Z),Z)),Y) <->
% apply(apply(X,Y),apply(apply(apply(s,i),i),apply(Z,Y)))
% Current number of equations to process: 1028
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [393]
% apply(apply(apply(apply(s,i),i),apply(X,Y)),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(s,X),X)),Z),Y)
% Current number of equations to process: 1027
% Current number of ordered equations: 1
% Current number of rules: 375
% New rule produced :
% [394]
% apply(apply(apply(s,apply(apply(s,X),X)),Z),Y) <->
% apply(apply(apply(apply(s,i),i),apply(X,Y)),apply(Z,Y))
% Current number of equations to process: 1027
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [395]
% apply(Y,apply(Z,apply(X,apply(apply(s,apply(k,Y)),Z)))) <->
% apply(apply(apply(s,i),X),apply(apply(s,apply(k,Y)),Z))
% Current number of equations to process: 1026
% Current number of ordered equations: 1
% Current number of rules: 377
% New rule produced :
% [396]
% apply(apply(apply(s,i),X),apply(apply(s,apply(k,Y)),Z)) <->
% apply(Y,apply(Z,apply(X,apply(apply(s,apply(k,Y)),Z))))
% Current number of equations to process: 1026
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [397]
% apply(apply(apply(s,i),X),apply(apply(s,Y),apply(k,Z))) <->
% apply(apply(Y,apply(X,apply(apply(s,Y),apply(k,Z)))),Z)
% Current number of equations to process: 1025
% Current number of ordered equations: 1
% Current number of rules: 379
% New rule produced :
% [398]
% apply(apply(Y,apply(X,apply(apply(s,Y),apply(k,Z)))),Z) <->
% apply(apply(apply(s,i),X),apply(apply(s,Y),apply(k,Z)))
% Current number of equations to process: 1025
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [399]
% apply(apply(apply(s,X),i),apply(apply(apply(s,i),Z),Y)) <->
% apply(apply(X,apply(Y,apply(Z,Y))),apply(Y,apply(Z,Y)))
% Current number of equations to process: 1022
% Current number of ordered equations: 1
% Current number of rules: 381
% New rule produced :
% [400]
% apply(apply(X,apply(Y,apply(Z,Y))),apply(Y,apply(Z,Y))) <->
% apply(apply(apply(s,X),i),apply(apply(apply(s,i),Z),Y))
% Current number of equations to process: 1022
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [401]
% apply(apply(apply(s,i),Z),apply(apply(apply(s,i),Y),X)) <->
% apply(apply(X,apply(Y,X)),apply(Z,apply(X,apply(Y,X))))
% Current number of equations to process: 1021
% Current number of ordered equations: 1
% Current number of rules: 383
% New rule produced :
% [402]
% apply(apply(X,apply(Y,X)),apply(Z,apply(X,apply(Y,X)))) <->
% apply(apply(apply(s,i),Z),apply(apply(apply(s,i),Y),X))
% Current number of equations to process: 1021
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [403]
% apply(X,apply(Y,apply(apply(Z,apply(apply(b,X),Y)),V_3))) <->
% apply(apply(apply(apply(s,b),Z),apply(apply(b,X),Y)),V_3)
% Current number of equations to process: 1012
% Current number of ordered equations: 1
% Current number of rules: 385
% New rule produced :
% [404]
% apply(apply(apply(apply(s,b),Z),apply(apply(b,X),Y)),V_3) <->
% apply(X,apply(Y,apply(apply(Z,apply(apply(b,X),Y)),V_3)))
% Current number of equations to process: 1012
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [405]
% apply(apply(X,Y),apply(apply(apply(apply(s,Z),X),Y),V_3)) <->
% apply(apply(apply(apply(s,b),apply(Z,Y)),apply(X,Y)),V_3)
% Current number of equations to process: 1011
% Current number of ordered equations: 1
% Current number of rules: 387
% New rule produced :
% [406]
% apply(apply(apply(apply(s,b),apply(Z,Y)),apply(X,Y)),V_3) <->
% apply(apply(X,Y),apply(apply(apply(apply(s,Z),X),Y),V_3))
% Current number of equations to process: 1011
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [407]
% apply(apply(Y,V_3),apply(apply(apply(X,apply(s,Y)),Z),V_3)) <->
% apply(apply(apply(apply(apply(s,b),X),apply(s,Y)),Z),V_3)
% Current number of equations to process: 1010
% Current number of ordered equations: 1
% Current number of rules: 389
% New rule produced :
% [408]
% apply(apply(apply(apply(apply(s,b),X),apply(s,Y)),Z),V_3) <->
% apply(apply(Y,V_3),apply(apply(apply(X,apply(s,Y)),Z),V_3))
% Current number of equations to process: 1010
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [409]
% apply(X,apply(apply(Y,apply(Z,X)),V_3)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,apply(k,Y)),Z)),X),V_3)
% Current number of equations to process: 1009
% Current number of ordered equations: 1
% Current number of rules: 391
% New rule produced :
% [410]
% apply(apply(apply(apply(s,b),apply(apply(s,apply(k,Y)),Z)),X),V_3) <->
% apply(X,apply(apply(Y,apply(Z,X)),V_3))
% Current number of equations to process: 1009
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [411]
% apply(X,apply(apply(apply(Y,X),Z),V_3)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,Y),apply(k,Z))),X),V_3)
% Current number of equations to process: 1008
% Current number of ordered equations: 1
% Current number of rules: 393
% New rule produced :
% [412]
% apply(apply(apply(apply(s,b),apply(apply(s,Y),apply(k,Z))),X),V_3) <->
% apply(X,apply(apply(apply(Y,X),Z),V_3))
% Current number of equations to process: 1008
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [413]
% apply(X,apply(apply(Y,X),apply(apply(apply(s,i),Z),V_3))) <->
% apply(apply(apply(apply(s,b),Y),X),apply(V_3,apply(Z,V_3)))
% Current number of equations to process: 1007
% Current number of ordered equations: 1
% Current number of rules: 395
% New rule produced :
% [414]
% apply(apply(apply(apply(s,b),Y),X),apply(V_3,apply(Z,V_3))) <->
% apply(X,apply(apply(Y,X),apply(apply(apply(s,i),Z),V_3)))
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [415]
% apply(Y,apply(Z,apply(apply(X,apply(s,apply(b,Y))),Z))) <->
% apply(apply(apply(apply(s,i),X),apply(s,apply(b,Y))),Z)
% Current number of equations to process: 1006
% Current number of ordered equations: 1
% Current number of rules: 397
% New rule produced :
% [416]
% apply(apply(apply(apply(s,i),X),apply(s,apply(b,Y))),Z) <->
% apply(Y,apply(Z,apply(apply(X,apply(s,apply(b,Y))),Z)))
% Current number of equations to process: 1006
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [417]
% apply(apply(X,Y),apply(apply(apply(Z,X),apply(V_3,X)),Y)) <->
% apply(apply(apply(apply(s,s),apply(apply(s,Z),V_3)),X),Y)
% Current number of equations to process: 1005
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [418]
% apply(apply(apply(apply(s,s),apply(apply(s,Z),V_3)),X),Y) <->
% apply(apply(X,Y),apply(apply(apply(Z,X),apply(V_3,X)),Y))
% Current number of equations to process: 1005
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [419]
% apply(X,apply(Y,apply(apply(Z,apply(s,apply(k,X))),Y))) <->
% apply(apply(apply(apply(s,s),Z),apply(s,apply(k,X))),Y)
% Current number of equations to process: 1004
% Current number of ordered equations: 1
% Current number of rules: 401
% New rule produced :
% [420]
% apply(apply(apply(apply(s,s),Z),apply(s,apply(k,X))),Y) <->
% apply(X,apply(Y,apply(apply(Z,apply(s,apply(k,X))),Y)))
% Current number of equations to process: 1004
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [421]
% apply(apply(apply(apply(s,s),Y),apply(s,X)),apply(k,Z)) <->
% apply(apply(X,apply(apply(Y,apply(s,X)),apply(k,Z))),Z)
% Current number of equations to process: 1003
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [422]
% apply(apply(X,apply(apply(Y,apply(s,X)),apply(k,Z))),Z) <->
% apply(apply(apply(apply(s,s),Y),apply(s,X)),apply(k,Z))
% Current number of equations to process: 1003
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [423]
% apply(apply(X,Y),apply(apply(Z,Y),apply(apply(V_3,Z),Y))) <->
% apply(apply(apply(s,X),apply(apply(apply(s,s),V_3),Z)),Y)
% Current number of equations to process: 1001
% Current number of ordered equations: 3
% Current number of rules: 405
% New rule produced :
% [424]
% apply(apply(apply(s,apply(apply(apply(s,s),Z),X)),V_3),Y) <->
% apply(apply(apply(X,Y),apply(apply(Z,X),Y)),apply(V_3,Y))
% Current number of equations to process: 1001
% Current number of ordered equations: 2
% Current number of rules: 406
% New rule produced :
% [425]
% apply(apply(apply(X,Y),apply(apply(Z,X),Y)),apply(V_3,Y)) <->
% apply(apply(apply(s,apply(apply(apply(s,s),Z),X)),V_3),Y)
% Current number of equations to process: 1001
% Current number of ordered equations: 1
% Current number of rules: 407
% New rule produced :
% [426]
% apply(apply(apply(s,X),apply(apply(apply(s,s),V_3),Z)),Y) <->
% apply(apply(X,Y),apply(apply(Z,Y),apply(apply(V_3,Z),Y)))
% Current number of equations to process: 1001
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [427]
% apply(apply(X,Y),apply(apply(X,Y),apply(apply(Z,X),Y))) <->
% apply(apply(apply(apply(s,s),apply(apply(s,s),Z)),X),Y)
% Current number of equations to process: 1000
% Current number of ordered equations: 1
% Current number of rules: 409
% New rule produced :
% [428]
% apply(apply(apply(apply(s,s),apply(apply(s,s),Z)),X),Y) <->
% apply(apply(X,Y),apply(apply(X,Y),apply(apply(Z,X),Y)))
% Current number of equations to process: 1000
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [429]
% apply(apply(X,apply(Y,Z)),apply(apply(V_3,Z),apply(Y,Z))) <->
% apply(apply(apply(s,apply(apply(b,apply(s,X)),V_3)),Y),Z)
% Current number of equations to process: 999
% Current number of ordered equations: 1
% Current number of rules: 411
% New rule produced :
% [430]
% apply(apply(apply(s,apply(apply(b,apply(s,X)),V_3)),Y),Z) <->
% apply(apply(X,apply(Y,Z)),apply(apply(V_3,Z),apply(Y,Z)))
% Current number of equations to process: 999
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [431]
% apply(apply(apply(s,apply(apply(b,X),apply(Y,Z))),V_3),Z) ->
% apply(apply(X,apply(apply(apply(s,Y),i),Z)),apply(V_3,Z))
% Current number of equations to process: 997
% Current number of ordered equations: 1
% Current number of rules: 413
% New rule produced :
% [432]
% apply(apply(apply(s,apply(apply(b,X),Y)),apply(V_3,Z)),Z) ->
% apply(apply(X,apply(Y,Z)),apply(apply(apply(s,V_3),i),Z))
% Current number of equations to process: 997
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [433]
% apply(X,apply(apply(Y,Z),apply(V_3,Z))) <->
% apply(apply(apply(s,apply(apply(b,apply(s,apply(k,X))),Y)),V_3),Z)
% Current number of equations to process: 996
% Current number of ordered equations: 1
% Current number of rules: 415
% New rule produced :
% [434]
% apply(apply(apply(s,apply(apply(b,apply(s,apply(k,X))),Y)),V_3),Z) <->
% apply(X,apply(apply(Y,Z),apply(V_3,Z)))
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [435]
% apply(apply(apply(apply(apply(s,b),X),Y),Z),apply(V_3,Z)) <->
% apply(apply(apply(s,apply(apply(b,Y),apply(X,Y))),V_3),Z)
% Current number of equations to process: 995
% Current number of ordered equations: 1
% Current number of rules: 417
% New rule produced :
% [436]
% apply(apply(apply(s,apply(apply(b,Y),apply(X,Y))),V_3),Z) <->
% apply(apply(apply(apply(apply(s,b),X),Y),Z),apply(V_3,Z))
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [437]
% apply(apply(apply(s,apply(X,Y)),apply(apply(b,Z),V_3)),Y) ->
% apply(apply(apply(apply(s,X),i),Y),apply(Z,apply(V_3,Y)))
% Current number of equations to process: 993
% Current number of ordered equations: 1
% Current number of rules: 419
% New rule produced :
% [438]
% apply(apply(apply(s,X),apply(apply(b,Z),apply(V_3,Y))),Y) ->
% apply(apply(X,Y),apply(Z,apply(apply(apply(s,V_3),i),Y)))
% Current number of equations to process: 993
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [439]
% apply(apply(X,apply(Y,Z)),apply(Z,apply(X,apply(Y,Z)))) <->
% apply(apply(apply(s,apply(s,i)),apply(apply(b,X),Y)),Z)
% Current number of equations to process: 992
% Current number of ordered equations: 1
% Current number of rules: 421
% New rule produced :
% [440]
% apply(apply(apply(s,apply(s,i)),apply(apply(b,X),Y)),Z) <->
% apply(apply(X,apply(Y,Z)),apply(Z,apply(X,apply(Y,Z))))
% Current number of equations to process: 992
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [441]
% apply(X,apply(Y,apply(Z,apply(V_3,Y)))) <->
% apply(apply(apply(s,apply(s,apply(k,X))),apply(apply(b,Z),V_3)),Y)
% Current number of equations to process: 991
% Current number of ordered equations: 1
% Current number of rules: 423
% New rule produced :
% [442]
% apply(apply(apply(s,apply(s,apply(k,X))),apply(apply(b,Z),V_3)),Y) <->
% apply(X,apply(Y,apply(Z,apply(V_3,Y))))
% Current number of equations to process: 991
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [443]
% apply(apply(X,Y),apply(apply(apply(apply(s,b),Z),V_3),Y)) <->
% apply(apply(apply(s,X),apply(apply(b,V_3),apply(Z,V_3))),Y)
% Current number of equations to process: 989
% Current number of ordered equations: 2
% Current number of rules: 425
% New rule produced :
% [444]
% apply(apply(apply(apply(s,b),Y),X),apply(Z,apply(V_3,X))) ->
% apply(X,apply(apply(apply(s,Y),apply(apply(b,Z),V_3)),X))
% Current number of equations to process: 989
% Current number of ordered equations: 1
% Current number of rules: 426
% New rule produced :
% [445]
% apply(apply(apply(s,X),apply(apply(b,V_3),apply(Z,V_3))),Y) <->
% apply(apply(X,Y),apply(apply(apply(apply(s,b),Z),V_3),Y))
% Current number of equations to process: 989
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [446]
% apply(apply(X,apply(Y,apply(Z,V_3))),apply(V_3,apply(Z,V_3))) <->
% apply(apply(apply(s,apply(s,apply(apply(b,X),Y))),Z),V_3)
% Current number of equations to process: 988
% Current number of ordered equations: 1
% Current number of rules: 428
% New rule produced :
% [447]
% apply(apply(apply(s,apply(s,apply(apply(b,X),Y))),Z),V_3) <->
% apply(apply(X,apply(Y,apply(Z,V_3))),apply(V_3,apply(Z,V_3)))
% Current number of equations to process: 988
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [448]
% apply(apply(apply(s,i),apply(apply(s,apply(s,Y)),Z)),X) <->
% apply(X,apply(apply(Y,apply(Z,X)),apply(X,apply(Z,X))))
% Current number of equations to process: 987
% Current number of ordered equations: 1
% Current number of rules: 430
% New rule produced :
% [449]
% apply(X,apply(apply(Y,apply(Z,X)),apply(X,apply(Z,X)))) <->
% apply(apply(apply(s,i),apply(apply(s,apply(s,Y)),Z)),X)
% Current number of equations to process: 987
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [450]
% apply(apply(apply(s,apply(apply(s,apply(s,X)),Y)),i),Z) <->
% apply(apply(apply(X,apply(Y,Z)),apply(Z,apply(Y,Z))),Z)
% Current number of equations to process: 986
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [451]
% apply(apply(apply(X,apply(Y,Z)),apply(Z,apply(Y,Z))),Z) <->
% apply(apply(apply(s,apply(apply(s,apply(s,X)),Y)),i),Z)
% Current number of equations to process: 986
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [452]
% apply(apply(apply(apply(s,b),apply(s,apply(s,Y))),X),Z) <->
% apply(X,apply(apply(Y,apply(X,Z)),apply(Z,apply(X,Z))))
% Current number of equations to process: 985
% Current number of ordered equations: 1
% Current number of rules: 434
% New rule produced :
% [453]
% apply(X,apply(apply(Y,apply(X,Z)),apply(Z,apply(X,Z)))) <->
% apply(apply(apply(apply(s,b),apply(s,apply(s,Y))),X),Z)
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [454]
% apply(apply(apply(s,X),apply(apply(s,apply(apply(s,k),V_3)),Z)),Y) <->
% apply(apply(X,Y),apply(Y,apply(Z,Y)))
% Current number of equations to process: 981
% Current number of ordered equations: 3
% Current number of rules: 436
% New rule produced :
% [455]
% apply(apply(apply(s,X),apply(apply(s,Z),apply(apply(s,k),V_3))),Y) <->
% apply(apply(X,Y),apply(apply(Z,Y),Y))
% Current number of equations to process: 981
% Current number of ordered equations: 2
% Current number of rules: 437
% New rule produced :
% [456]
% apply(apply(X,Y),apply(Y,apply(Z,Y))) <->
% apply(apply(apply(s,X),apply(apply(s,apply(apply(s,k),V_3)),Z)),Y)
% Current number of equations to process: 981
% Current number of ordered equations: 1
% Current number of rules: 438
% New rule produced :
% [457]
% apply(apply(X,Y),apply(apply(Z,Y),Y)) <->
% apply(apply(apply(s,X),apply(apply(s,Z),apply(apply(s,k),V_3))),Y)
% Current number of equations to process: 981
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [458]
% apply(apply(X,Y),apply(apply(Z,Y),apply(Y,apply(Z,Y)))) <->
% apply(apply(apply(s,X),apply(apply(s,apply(s,i)),Z)),Y)
% Current number of equations to process: 980
% Current number of ordered equations: 1
% Current number of rules: 440
% New rule produced :
% [459]
% apply(apply(apply(s,X),apply(apply(s,apply(s,i)),Z)),Y) <->
% apply(apply(X,Y),apply(apply(Z,Y),apply(Y,apply(Z,Y))))
% Current number of equations to process: 980
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [460]
% apply(apply(X,Y),apply(apply(apply(apply(s,s),Z),V_3),Y)) <->
% apply(apply(apply(s,X),apply(apply(s,V_3),apply(Z,V_3))),Y)
% Current number of equations to process: 978
% Current number of ordered equations: 1
% Current number of rules: 442
% New rule produced :
% [461]
% apply(apply(apply(s,X),apply(apply(s,V_3),apply(Z,V_3))),Y) <->
% apply(apply(X,Y),apply(apply(apply(apply(s,s),Z),V_3),Y))
% Current number of equations to process: 978
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [462]
% apply(apply(apply(apply(s,s),i),apply(apply(s,X),Y)),Z) <->
% apply(apply(apply(s,apply(X,Z)),apply(X,Z)),apply(Y,Z))
% Current number of equations to process: 976
% Current number of ordered equations: 1
% Current number of rules: 444
% New rule produced :
% [463]
% apply(apply(apply(s,apply(X,Z)),apply(X,Z)),apply(Y,Z)) <->
% apply(apply(apply(apply(s,s),i),apply(apply(s,X),Y)),Z)
% Current number of equations to process: 976
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [464]
% apply(apply(apply(X,Y),Y),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(s,X),apply(apply(s,k),V_3))),Z),Y)
% Current number of equations to process: 973
% Current number of ordered equations: 3
% Current number of rules: 446
% New rule produced :
% [465]
% apply(apply(X,apply(Y,X)),apply(Z,X)) <->
% apply(apply(apply(s,apply(apply(s,apply(apply(s,k),V_3)),Y)),Z),X)
% Current number of equations to process: 973
% Current number of ordered equations: 2
% Current number of rules: 447
% New rule produced :
% [466]
% apply(apply(apply(s,apply(apply(s,apply(apply(s,k),V_3)),Y)),Z),X) <->
% apply(apply(X,apply(Y,X)),apply(Z,X))
% Current number of equations to process: 973
% Current number of ordered equations: 1
% Current number of rules: 448
% New rule produced :
% [467]
% apply(apply(apply(s,apply(apply(s,X),apply(apply(s,k),V_3))),Z),Y) <->
% apply(apply(apply(X,Y),Y),apply(Z,Y))
% Current number of equations to process: 973
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [468]
% apply(apply(apply(X,Y),apply(Y,apply(X,Y))),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(s,apply(s,i)),X)),Z),Y)
% Current number of equations to process: 972
% Current number of ordered equations: 1
% Current number of rules: 450
% New rule produced :
% [469]
% apply(apply(apply(s,apply(apply(s,apply(s,i)),X)),Z),Y) <->
% apply(apply(apply(X,Y),apply(Y,apply(X,Y))),apply(Z,Y))
% Current number of equations to process: 972
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [470]
% apply(apply(X,Y),apply(apply(Y,apply(X,Y)),apply(Z,Y))) <->
% apply(apply(apply(s,apply(apply(s,apply(s,b)),X)),Z),Y)
% Current number of equations to process: 971
% Current number of ordered equations: 1
% Current number of rules: 452
% New rule produced :
% [471]
% apply(apply(apply(s,apply(apply(s,apply(s,b)),X)),Z),Y) <->
% apply(apply(X,Y),apply(apply(Y,apply(X,Y)),apply(Z,Y)))
% Current number of equations to process: 971
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [472]
% apply(apply(apply(apply(apply(s,s),X),Y),Z),apply(V_3,Z)) <->
% apply(apply(apply(s,apply(apply(s,Y),apply(X,Y))),V_3),Z)
% Current number of equations to process: 970
% Current number of ordered equations: 1
% Current number of rules: 454
% New rule produced :
% [473]
% apply(apply(apply(s,apply(apply(s,Y),apply(X,Y))),V_3),Z) <->
% apply(apply(apply(apply(apply(s,s),X),Y),Z),apply(V_3,Z))
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [474]
% apply(apply(X,apply(Y,X)),apply(Z,apply(X,apply(Y,X)))) <->
% apply(apply(apply(s,apply(apply(s,s),apply(b,Z))),Y),X)
% Current number of equations to process: 969
% Current number of ordered equations: 1
% Current number of rules: 456
% New rule produced :
% [475]
% apply(apply(apply(s,apply(apply(s,s),apply(b,Z))),Y),X) <->
% apply(apply(X,apply(Y,X)),apply(Z,apply(X,apply(Y,X))))
% Current number of equations to process: 969
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [476]
% apply(apply(Y,Z),apply(apply(X,Z),apply(apply(s,Y),Z))) <->
% apply(apply(apply(apply(s,i),apply(s,X)),apply(s,Y)),Z)
% Current number of equations to process: 967
% Current number of ordered equations: 1
% Current number of rules: 458
% New rule produced :
% [477]
% apply(apply(apply(apply(s,i),apply(s,X)),apply(s,Y)),Z) <->
% apply(apply(Y,Z),apply(apply(X,Z),apply(apply(s,Y),Z)))
% Current number of equations to process: 967
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [478]
% apply(apply(X,Z),apply(apply(apply(s,X),Z),apply(Y,Z))) <->
% apply(apply(apply(apply(apply(s,b),s),apply(s,X)),Y),Z)
% Current number of equations to process: 965
% Current number of ordered equations: 1
% Current number of rules: 460
% New rule produced :
% [479]
% apply(apply(apply(apply(apply(s,b),s),apply(s,X)),Y),Z) <->
% apply(apply(X,Z),apply(apply(apply(s,X),Z),apply(Y,Z)))
% Current number of equations to process: 965
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [480]
% apply(apply(X,V_3),apply(apply(apply(apply(s,Y),Z),X),V_3)) <->
% apply(apply(apply(s,X),apply(apply(Y,X),apply(Z,X))),V_3)
% Current number of equations to process: 964
% Current number of ordered equations: 1
% Current number of rules: 462
% New rule produced :
% [481]
% apply(apply(apply(s,X),apply(apply(Y,X),apply(Z,X))),V_3) <->
% apply(apply(X,V_3),apply(apply(apply(apply(s,Y),Z),X),V_3))
% Current number of equations to process: 964
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [482]
% apply(apply(X,Y),apply(apply(Z,X),Y)) <->
% apply(apply(apply(apply(s,s),apply(apply(s,apply(s,k)),Z)),X),Y)
% Current number of equations to process: 959
% Current number of ordered equations: 1
% Current number of rules: 464
% New rule produced :
% [483]
% apply(apply(apply(apply(s,s),apply(apply(s,apply(s,k)),Z)),X),Y) <->
% apply(apply(X,Y),apply(apply(Z,X),Y))
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [484]
% apply(Z,apply(apply(X,Z),apply(Y,Z))) <->
% apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(s,X),Y)),Z)
% Current number of equations to process: 957
% Current number of ordered equations: 3
% Current number of rules: 466
% New rule produced :
% [485]
% apply(apply(X,Y),apply(Y,apply(Z,Y))) <->
% apply(apply(apply(s,X),apply(apply(s,apply(s,apply(s,k))),Z)),Y)
% Current number of equations to process: 957
% Current number of ordered equations: 2
% Current number of rules: 467
% New rule produced :
% [486]
% apply(apply(apply(s,X),apply(apply(s,apply(s,apply(s,k))),Z)),Y) <->
% apply(apply(X,Y),apply(Y,apply(Z,Y)))
% Current number of equations to process: 957
% Current number of ordered equations: 1
% Current number of rules: 468
% New rule produced :
% [487]
% apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(s,X),Y)),Z) <->
% apply(Z,apply(apply(X,Z),apply(Y,Z)))
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [488]
% apply(apply(X,apply(Y,X)),apply(Z,X)) <->
% apply(apply(apply(s,apply(apply(s,apply(s,apply(s,k))),Y)),Z),X)
% Current number of equations to process: 956
% Current number of ordered equations: 1
% Current number of rules: 470
% New rule produced :
% [489]
% apply(apply(apply(s,apply(apply(s,apply(s,apply(s,k))),Y)),Z),X) <->
% apply(apply(X,apply(Y,X)),apply(Z,X))
% Current number of equations to process: 956
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [490]
% apply(X,apply(apply(Y,X),apply(apply(apply(s,b),Y),X))) <->
% apply(apply(apply(s,i),i),apply(apply(apply(s,b),Y),X))
% Current number of equations to process: 943
% Current number of ordered equations: 1
% Current number of rules: 472
% New rule produced :
% [491]
% apply(apply(apply(s,i),i),apply(apply(apply(s,b),Y),X)) <->
% apply(X,apply(apply(Y,X),apply(apply(apply(s,b),Y),X)))
% Current number of equations to process: 943
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [492]
% apply(apply(X,apply(apply(apply(s,i),i),Y)),apply(Y,apply(Y,Y))) ->
% apply(apply(apply(s,apply(s,X)),Y),Y)
% Current number of equations to process: 939
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [493]
% apply(apply(apply(apply(s,s),i),apply(s,apply(s,X))),Y) ->
% apply(apply(apply(s,i),i),apply(apply(s,apply(s,X)),Y))
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [494]
% apply(apply(X,apply(Y,apply(Z,Y))),apply(apply(apply(s,i),Z),Y)) ->
% apply(apply(apply(s,X),i),apply(Y,apply(Z,Y)))
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [495]
% apply(apply(apply(X,Y),Z),apply(apply(apply(apply(s,b),X),Y),Z)) ->
% apply(apply(apply(s,i),Y),apply(apply(X,Y),Z))
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [496]
% apply(apply(apply(apply(apply(s,b),X),Y),Z),apply(apply(X,Y),Z)) ->
% apply(apply(apply(s,Y),i),apply(apply(X,Y),Z))
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [497]
% apply(Z,apply(apply(apply(Y,apply(X,Y)),Z),V_3)) <->
% apply(apply(apply(apply(s,b),apply(apply(apply(s,i),X),Y)),Z),V_3)
% Current number of equations to process: 937
% Current number of ordered equations: 3
% Current number of rules: 479
% New rule produced :
% [498]
% apply(Y,apply(apply(X,Y),apply(V_3,apply(Z,V_3)))) <->
% apply(apply(apply(apply(s,b),X),Y),apply(apply(apply(s,i),Z),V_3))
% Current number of equations to process: 937
% Current number of ordered equations: 2
% Current number of rules: 480
% New rule produced :
% [499]
% apply(apply(apply(apply(s,b),X),Y),apply(apply(apply(s,i),Z),V_3)) <->
% apply(Y,apply(apply(X,Y),apply(V_3,apply(Z,V_3))))
% Current number of equations to process: 937
% Current number of ordered equations: 1
% Current number of rules: 481
% New rule produced :
% [500]
% apply(apply(apply(apply(s,b),apply(apply(apply(s,i),X),Y)),Z),V_3) <->
% apply(Z,apply(apply(apply(Y,apply(X,Y)),Z),V_3))
% Current number of equations to process: 937
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [501]
% apply(X,apply(apply(Y,apply(apply(Z,Y),X)),V_3)) <->
% apply(apply(apply(apply(s,b),apply(apply(apply(s,b),Z),Y)),X),V_3)
% Current number of equations to process: 936
% Current number of ordered equations: 1
% Current number of rules: 483
% New rule produced :
% [502]
% apply(apply(apply(apply(s,b),apply(apply(apply(s,b),Z),Y)),X),V_3) <->
% apply(X,apply(apply(Y,apply(apply(Z,Y),X)),V_3))
% Current number of equations to process: 936
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [503]
% apply(X,apply(apply(Y,apply(X,apply(Z,X))),V_3)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,apply(b,Y)),Z)),X),V_3)
% Current number of equations to process: 932
% Current number of ordered equations: 1
% Current number of rules: 485
% New rule produced :
% [504]
% apply(apply(apply(apply(s,b),apply(apply(s,apply(b,Y)),Z)),X),V_3) <->
% apply(X,apply(apply(Y,apply(X,apply(Z,X))),V_3))
% Current number of equations to process: 932
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [505]
% apply(apply(apply(X,Y),Z),apply(apply(apply(apply(s,i),X),Y),Z)) ->
% apply(apply(apply(apply(s,s),Y),apply(X,Y)),Z)
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [506]
% apply(apply(X,Y),apply(apply(Z,apply(V_3,X)),Y)) <->
% apply(apply(apply(apply(s,s),apply(apply(s,apply(k,Z)),V_3)),X),Y)
% Current number of equations to process: 929
% Current number of ordered equations: 1
% Current number of rules: 488
% New rule produced :
% [507]
% apply(apply(apply(apply(s,s),apply(apply(s,apply(k,Z)),V_3)),X),Y) <->
% apply(apply(X,Y),apply(apply(Z,apply(V_3,X)),Y))
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [508]
% apply(apply(X,Y),apply(apply(apply(Z,X),V_3),Y)) <->
% apply(apply(apply(apply(s,s),apply(apply(s,Z),apply(k,V_3))),X),Y)
% Current number of equations to process: 928
% Current number of ordered equations: 1
% Current number of rules: 490
% New rule produced :
% [509]
% apply(apply(apply(apply(s,s),apply(apply(s,Z),apply(k,V_3))),X),Y) <->
% apply(apply(X,Y),apply(apply(apply(Z,X),V_3),Y))
% Current number of equations to process: 928
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [510]
% apply(apply(X,apply(Y,Z)),apply(V_3,apply(V_4,Z))) <->
% apply(apply(apply(s,apply(apply(b,X),Y)),apply(apply(b,V_3),V_4)),Z)
% Current number of equations to process: 925
% Current number of ordered equations: 5
% Current number of rules: 492
% New rule produced :
% [511]
% apply(apply(apply(s,apply(apply(b,X),apply(apply(b,Y),Z))),V_4),V_3) <->
% apply(apply(X,apply(Y,apply(Z,V_3))),apply(V_4,V_3))
% Current number of equations to process: 925
% Current number of ordered equations: 4
% Current number of rules: 493
% New rule produced :
% [512]
% apply(apply(X,apply(Y,apply(Z,V_3))),apply(V_4,V_3)) <->
% apply(apply(apply(s,apply(apply(b,X),apply(apply(b,Y),Z))),V_4),V_3)
% Current number of equations to process: 925
% Current number of ordered equations: 3
% Current number of rules: 494
% New rule produced :
% [513]
% apply(apply(X,apply(Y,apply(Z,V_3))),apply(V_4,V_3)) <->
% apply(apply(apply(s,apply(apply(b,apply(apply(b,X),Y)),Z)),V_4),V_3)
% Current number of equations to process: 925
% Current number of ordered equations: 2
% Current number of rules: 495
% New rule produced :
% [514]
% apply(apply(apply(s,apply(apply(b,apply(apply(b,X),Y)),Z)),V_4),V_3) <->
% apply(apply(X,apply(Y,apply(Z,V_3))),apply(V_4,V_3))
% Current number of equations to process: 925
% Current number of ordered equations: 1
% Current number of rules: 496
% New rule produced :
% [515]
% apply(apply(apply(s,apply(apply(b,X),Y)),apply(apply(b,V_3),V_4)),Z) <->
% apply(apply(X,apply(Y,Z)),apply(V_3,apply(V_4,Z)))
% Current number of equations to process: 925
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [516]
% apply(apply(X,apply(Y,Z)),apply(apply(V_3,Z),Z)) <->
% apply(apply(apply(s,apply(apply(b,X),Y)),apply(apply(s,V_3),i)),Z)
% Current number of equations to process: 923
% Current number of ordered equations: 3
% Current number of rules: 498
% New rule produced :
% [517]
% apply(apply(apply(s,apply(apply(b,X),apply(apply(s,Y),i))),V_3),Z) <->
% apply(apply(X,apply(apply(Y,Z),Z)),apply(V_3,Z))
% Current number of equations to process: 923
% Current number of ordered equations: 2
% Current number of rules: 499
% New rule produced :
% [518]
% apply(apply(X,apply(apply(Y,Z),Z)),apply(V_3,Z)) <->
% apply(apply(apply(s,apply(apply(b,X),apply(apply(s,Y),i))),V_3),Z)
% Current number of equations to process: 923
% Current number of ordered equations: 1
% Current number of rules: 500
% New rule produced :
% [519]
% apply(apply(apply(s,apply(apply(b,X),Y)),apply(apply(s,V_3),i)),Z) <->
% apply(apply(X,apply(Y,Z)),apply(apply(V_3,Z),Z))
% Current number of equations to process: 923
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [520]
% apply(apply(X,apply(Y,Z)),apply(Z,apply(V_3,Z))) <->
% apply(apply(apply(s,apply(apply(b,X),Y)),apply(apply(s,i),V_3)),Z)
% Current number of equations to process: 921
% Current number of ordered equations: 3
% Current number of rules: 502
% New rule produced :
% [521]
% apply(apply(X,apply(Y,apply(Z,Y))),apply(V_3,Y)) <->
% apply(apply(apply(s,apply(apply(b,X),apply(apply(s,i),Z))),V_3),Y)
% Current number of equations to process: 921
% Current number of ordered equations: 2
% Current number of rules: 503
% New rule produced :
% [522]
% apply(apply(apply(s,apply(apply(b,X),apply(apply(s,i),Z))),V_3),Y) <->
% apply(apply(X,apply(Y,apply(Z,Y))),apply(V_3,Y))
% Current number of equations to process: 921
% Current number of ordered equations: 1
% Current number of rules: 504
% New rule produced :
% [523]
% apply(apply(apply(s,apply(apply(b,X),Y)),apply(apply(s,i),V_3)),Z) <->
% apply(apply(X,apply(Y,Z)),apply(Z,apply(V_3,Z)))
% Current number of equations to process: 921
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [524]
% apply(apply(X,Y),apply(Z,apply(V_3,apply(V_4,Y)))) <->
% apply(apply(apply(s,X),apply(apply(b,Z),apply(apply(b,V_3),V_4))),Y)
% Current number of equations to process: 918
% Current number of ordered equations: 3
% Current number of rules: 506
% New rule produced :
% [525]
% apply(apply(X,Y),apply(Z,apply(V_3,apply(V_4,Y)))) <->
% apply(apply(apply(s,X),apply(apply(b,apply(apply(b,Z),V_3)),V_4)),Y)
% Current number of equations to process: 918
% Current number of ordered equations: 2
% Current number of rules: 507
% New rule produced :
% [526]
% apply(apply(apply(s,X),apply(apply(b,Z),apply(apply(b,V_3),V_4))),Y) <->
% apply(apply(X,Y),apply(Z,apply(V_3,apply(V_4,Y))))
% Current number of equations to process: 918
% Current number of ordered equations: 1
% Current number of rules: 508
% New rule produced :
% [527]
% apply(apply(apply(s,X),apply(apply(b,apply(apply(b,Z),V_3)),V_4)),Y) <->
% apply(apply(X,Y),apply(Z,apply(V_3,apply(V_4,Y))))
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [528]
% apply(apply(X,Y),apply(Z,apply(apply(V_3,Y),Y))) <->
% apply(apply(apply(s,X),apply(apply(b,Z),apply(apply(s,V_3),i))),Y)
% Current number of equations to process: 916
% Current number of ordered equations: 3
% Current number of rules: 510
% New rule produced :
% [529]
% apply(apply(apply(X,Y),Y),apply(Z,apply(V_3,Y))) <->
% apply(apply(apply(s,apply(apply(s,X),i)),apply(apply(b,Z),V_3)),Y)
% Current number of equations to process: 916
% Current number of ordered equations: 2
% Current number of rules: 511
% New rule produced :
% [530]
% apply(apply(apply(s,apply(apply(s,X),i)),apply(apply(b,Z),V_3)),Y) <->
% apply(apply(apply(X,Y),Y),apply(Z,apply(V_3,Y)))
% Current number of equations to process: 916
% Current number of ordered equations: 1
% Current number of rules: 512
% New rule produced :
% [531]
% apply(apply(apply(s,X),apply(apply(b,Z),apply(apply(s,V_3),i))),Y) <->
% apply(apply(X,Y),apply(Z,apply(apply(V_3,Y),Y)))
% Current number of equations to process: 916
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [532]
% apply(apply(X,Y),apply(Z,apply(Y,apply(V_3,Y)))) <->
% apply(apply(apply(s,X),apply(apply(b,Z),apply(apply(s,i),V_3))),Y)
% Current number of equations to process: 914
% Current number of ordered equations: 3
% Current number of rules: 514
% New rule produced :
% [533]
% apply(apply(X,apply(Y,X)),apply(Z,apply(V_3,X))) <->
% apply(apply(apply(s,apply(apply(s,i),Y)),apply(apply(b,Z),V_3)),X)
% Current number of equations to process: 914
% Current number of ordered equations: 2
% Current number of rules: 515
% New rule produced :
% [534]
% apply(apply(apply(s,apply(apply(s,i),Y)),apply(apply(b,Z),V_3)),X) <->
% apply(apply(X,apply(Y,X)),apply(Z,apply(V_3,X)))
% Current number of equations to process: 914
% Current number of ordered equations: 1
% Current number of rules: 516
% New rule produced :
% [535]
% apply(apply(apply(s,X),apply(apply(b,Z),apply(apply(s,i),V_3))),Y) <->
% apply(apply(X,Y),apply(Z,apply(Y,apply(V_3,Y))))
% Current number of equations to process: 914
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [536]
% apply(Z,apply(apply(X,apply(Y,apply(k,Z))),V_3)) <->
% apply(apply(apply(apply(s,s),apply(apply(b,X),Y)),apply(k,Z)),V_3)
% Current number of equations to process: 913
% Current number of ordered equations: 1
% Current number of rules: 518
% New rule produced :
% [537]
% apply(apply(apply(apply(s,s),apply(apply(b,X),Y)),apply(k,Z)),V_3) <->
% apply(Z,apply(apply(X,apply(Y,apply(k,Z))),V_3))
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [538]
% apply(apply(apply(s,apply(s,X)),apply(apply(b,Y),Z)),apply(k,V_3)) <->
% apply(apply(X,apply(Y,apply(Z,apply(k,V_3)))),V_3)
% Current number of equations to process: 912
% Current number of ordered equations: 1
% Current number of rules: 520
% New rule produced :
% [539]
% apply(apply(X,apply(Y,apply(Z,apply(k,V_3)))),V_3) <->
% apply(apply(apply(s,apply(s,X)),apply(apply(b,Y),Z)),apply(k,V_3))
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [540]
% apply(X,apply(apply(Y,X),apply(Z,apply(V_3,X)))) <->
% apply(apply(apply(s,apply(apply(s,b),Y)),apply(apply(b,Z),V_3)),X)
% Current number of equations to process: 911
% Current number of ordered equations: 1
% Current number of rules: 522
% New rule produced :
% [541]
% apply(apply(apply(s,apply(apply(s,b),Y)),apply(apply(b,Z),V_3)),X) <->
% apply(X,apply(apply(Y,X),apply(Z,apply(V_3,X))))
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [542]
% apply(X,apply(apply(Y,apply(Z,X)),apply(V_3,X))) <->
% apply(apply(apply(s,i),apply(apply(s,apply(apply(b,Y),Z)),V_3)),X)
% Current number of equations to process: 910
% Current number of ordered equations: 1
% Current number of rules: 524
% New rule produced :
% [543]
% apply(apply(apply(s,i),apply(apply(s,apply(apply(b,Y),Z)),V_3)),X) <->
% apply(X,apply(apply(Y,apply(Z,X)),apply(V_3,X)))
% Current number of equations to process: 910
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [544]
% apply(apply(apply(X,apply(Y,Z)),apply(V_3,Z)),Z) <->
% apply(apply(apply(s,apply(apply(s,apply(apply(b,X),Y)),V_3)),i),Z)
% Current number of equations to process: 909
% Current number of ordered equations: 1
% Current number of rules: 526
% New rule produced :
% [545]
% apply(apply(apply(s,apply(apply(s,apply(apply(b,X),Y)),V_3)),i),Z) <->
% apply(apply(apply(X,apply(Y,Z)),apply(V_3,Z)),Z)
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [546]
% apply(X,apply(apply(Y,apply(Z,V_3)),apply(X,V_3))) <->
% apply(apply(apply(apply(s,b),apply(s,apply(apply(b,Y),Z))),X),V_3)
% Current number of equations to process: 908
% Current number of ordered equations: 1
% Current number of rules: 528
% New rule produced :
% [547]
% apply(apply(apply(apply(s,b),apply(s,apply(apply(b,Y),Z))),X),V_3) <->
% apply(X,apply(apply(Y,apply(Z,V_3)),apply(X,V_3)))
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [548]
% apply(apply(X,apply(Z,V_3)),apply(apply(Y,Z),V_3)) <->
% apply(apply(apply(apply(s,apply(apply(b,s),apply(b,X))),Y),Z),V_3)
% Current number of equations to process: 907
% Current number of ordered equations: 1
% Current number of rules: 530
% New rule produced :
% [549]
% apply(apply(apply(apply(s,apply(apply(b,s),apply(b,X))),Y),Z),V_3) <->
% apply(apply(X,apply(Z,V_3)),apply(apply(Y,Z),V_3))
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [550]
% apply(X,apply(apply(Y,X),apply(Z,apply(V_3,X)))) <->
% apply(apply(apply(s,i),apply(apply(s,Y),apply(apply(b,Z),V_3))),X)
% Current number of equations to process: 906
% Current number of ordered equations: 1
% Current number of rules: 532
% New rule produced :
% [551]
% apply(apply(apply(s,i),apply(apply(s,Y),apply(apply(b,Z),V_3))),X) <->
% apply(X,apply(apply(Y,X),apply(Z,apply(V_3,X))))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [552]
% apply(apply(apply(X,Y),apply(Z,apply(V_3,Y))),Y) <->
% apply(apply(apply(s,apply(apply(s,X),apply(apply(b,Z),V_3))),i),Y)
% Current number of equations to process: 905
% Current number of ordered equations: 1
% Current number of rules: 534
% New rule produced :
% [553]
% apply(apply(apply(s,apply(apply(s,X),apply(apply(b,Z),V_3))),i),Y) <->
% apply(apply(apply(X,Y),apply(Z,apply(V_3,Y))),Y)
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [554]
% apply(apply(apply(X,Z),V_3),apply(Y,apply(Z,V_3))) <->
% apply(apply(apply(apply(s,apply(apply(b,s),X)),apply(b,Y)),Z),V_3)
% Current number of equations to process: 904
% Current number of ordered equations: 1
% Current number of rules: 536
% New rule produced :
% [555]
% apply(apply(apply(apply(s,apply(apply(b,s),X)),apply(b,Y)),Z),V_3) <->
% apply(apply(apply(X,Z),V_3),apply(Y,apply(Z,V_3)))
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced :
% [556]
% apply(apply(Z,V_3),apply(X,apply(apply(Y,Z),V_3))) <->
% apply(apply(apply(apply(s,s),apply(apply(b,apply(b,X)),Y)),Z),V_3)
% Current number of equations to process: 903
% Current number of ordered equations: 1
% Current number of rules: 538
% New rule produced :
% [557]
% apply(apply(apply(apply(s,s),apply(apply(b,apply(b,X)),Y)),Z),V_3) <->
% apply(apply(Z,V_3),apply(X,apply(apply(Y,Z),V_3)))
% Current number of equations to process: 903
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [558]
% apply(apply(X,apply(Y,X)),apply(apply(Y,X),apply(X,apply(Y,X)))) <->
% apply(apply(apply(s,apply(s,apply(s,i))),Y),X)
% Current number of equations to process: 902
% Current number of ordered equations: 1
% Current number of rules: 540
% New rule produced :
% [559]
% apply(apply(apply(s,apply(s,apply(s,i))),Y),X) <->
% apply(apply(X,apply(Y,X)),apply(apply(Y,X),apply(X,apply(Y,X))))
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [560]
% apply(X,apply(Y,apply(apply(Z,Y),apply(V_3,Y)))) <->
% apply(apply(apply(s,apply(s,apply(k,X))),apply(apply(s,Z),V_3)),Y)
% Current number of equations to process: 898
% Current number of ordered equations: 3
% Current number of rules: 542
% New rule produced :
% [561]
% apply(apply(X,Y),apply(Z,apply(Y,apply(V_3,Y)))) <->
% apply(apply(apply(s,X),apply(apply(s,apply(s,apply(k,Z))),V_3)),Y)
% Current number of equations to process: 898
% Current number of ordered equations: 2
% Current number of rules: 543
% New rule produced :
% [562]
% apply(apply(apply(s,X),apply(apply(s,apply(s,apply(k,Z))),V_3)),Y) <->
% apply(apply(X,Y),apply(Z,apply(Y,apply(V_3,Y))))
% Current number of equations to process: 898
% Current number of ordered equations: 1
% Current number of rules: 544
% New rule produced :
% [563]
% apply(apply(apply(s,apply(s,apply(k,X))),apply(apply(s,Z),V_3)),Y) <->
% apply(X,apply(Y,apply(apply(Z,Y),apply(V_3,Y))))
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [564]
% apply(apply(X,apply(Y,apply(Z,Y))),apply(V_3,Y)) <->
% apply(apply(apply(s,apply(apply(s,apply(s,apply(k,X))),Z)),V_3),Y)
% Current number of equations to process: 897
% Current number of ordered equations: 1
% Current number of rules: 546
% New rule produced :
% [565]
% apply(apply(apply(s,apply(apply(s,apply(s,apply(k,X))),Z)),V_3),Y) <->
% apply(apply(X,apply(Y,apply(Z,Y))),apply(V_3,Y))
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [566]
% apply(apply(apply(apply(s,X),Y),Z),apply(apply(apply(s,i),Y),Z)) <->
% apply(apply(apply(s,apply(X,Z)),Z),apply(Y,Z))
% Current number of equations to process: 895
% Current number of ordered equations: 1
% Current number of rules: 548
% New rule produced :
% [567]
% apply(apply(apply(s,apply(X,Z)),Z),apply(Y,Z)) <->
% apply(apply(apply(apply(s,X),Y),Z),apply(apply(apply(s,i),Y),Z))
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [568]
% apply(apply(apply(apply(apply(s,s),i),X),Y),apply(Z,apply(X,Y))) ->
% apply(apply(apply(s,apply(X,Y)),Z),apply(X,Y))
% Current number of equations to process: 893
% Current number of ordered equations: 1
% Current number of rules: 550
% New rule produced :
% [569]
% apply(apply(apply(apply(s,apply(s,X)),i),Y),apply(Z,apply(Y,Y))) ->
% apply(apply(apply(s,apply(X,Y)),Z),apply(Y,Y))
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [570]
% apply(apply(apply(s,apply(X,V_3)),Z),apply(Y,V_3)) <->
% apply(apply(apply(s,apply(apply(s,X),Y)),apply(apply(b,Z),Y)),V_3)
% Current number of equations to process: 891
% Current number of ordered equations: 1
% Current number of rules: 552
% New rule produced :
% [571]
% apply(apply(apply(s,apply(apply(s,X),Y)),apply(apply(b,Z),Y)),V_3) <->
% apply(apply(apply(s,apply(X,V_3)),Z),apply(Y,V_3))
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [572]
% apply(apply(apply(apply(s,i),X),Y),apply(apply(apply(s,Z),X),Y)) <->
% apply(apply(apply(s,Y),apply(Z,Y)),apply(X,Y))
% Current number of equations to process: 889
% Current number of ordered equations: 1
% Current number of rules: 554
% New rule produced :
% [573]
% apply(apply(apply(s,Y),apply(Z,Y)),apply(X,Y)) <->
% apply(apply(apply(apply(s,i),X),Y),apply(apply(apply(s,Z),X),Y))
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [574]
% apply(apply(X,apply(Y,Z)),apply(apply(apply(apply(s,s),i),Y),Z)) ->
% apply(apply(apply(s,X),apply(Y,Z)),apply(Y,Z))
% Current number of equations to process: 887
% Current number of ordered equations: 1
% Current number of rules: 556
% New rule produced :
% [575]
% apply(apply(X,apply(Y,Y)),apply(apply(apply(s,apply(s,Z)),i),Y)) ->
% apply(apply(apply(s,X),apply(Z,Y)),apply(Y,Y))
% Current number of equations to process: 887
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [576]
% apply(apply(apply(s,apply(apply(b,X),Y)),apply(apply(s,Z),Y)),V_3) <->
% apply(apply(apply(s,X),apply(Z,V_3)),apply(Y,V_3))
% Current number of equations to process: 886
% Current number of ordered equations: 1
% Current number of rules: 558
% New rule produced :
% [577]
% apply(apply(apply(s,X),apply(Z,V_3)),apply(Y,V_3)) <->
% apply(apply(apply(s,apply(apply(b,X),Y)),apply(apply(s,Z),Y)),V_3)
% Current number of equations to process: 886
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [578]
% apply(apply(apply(apply(apply(s,b),X),apply(s,apply(s,k))),Y),Z) ->
% apply(apply(apply(X,apply(s,apply(s,k))),Y),Z)
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [579]
% apply(apply(apply(s,apply(s,X)),apply(apply(s,apply(s,k)),Y)),Z) <->
% apply(apply(X,apply(Y,Z)),apply(Z,apply(Y,Z)))
% Current number of equations to process: 883
% Current number of ordered equations: 3
% Current number of rules: 561
% New rule produced :
% [580]
% apply(apply(X,apply(Y,Z)),apply(Z,apply(Y,Z))) <->
% apply(apply(apply(s,apply(s,X)),apply(apply(s,apply(s,k)),Y)),Z)
% Current number of equations to process: 883
% Current number of ordered equations: 2
% Current number of rules: 562
% New rule produced :
% [581]
% apply(apply(X,apply(Y,Z)),apply(Z,apply(Y,Z))) <->
% apply(apply(apply(s,apply(s,apply(apply(s,apply(s,k)),X))),Y),Z)
% Current number of equations to process: 883
% Current number of ordered equations: 1
% Current number of rules: 563
% New rule produced :
% [582]
% apply(apply(apply(s,apply(s,apply(apply(s,apply(s,k)),X))),Y),Z) <->
% apply(apply(X,apply(Y,Z)),apply(Z,apply(Y,Z)))
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [583]
% apply(apply(Z,Y),apply(apply(apply(s,X),Z),Y)) <->
% apply(apply(apply(s,apply(s,apply(s,k))),apply(X,Y)),apply(Z,Y))
% Current number of equations to process: 882
% Current number of ordered equations: 1
% Current number of rules: 565
% New rule produced :
% [584]
% apply(apply(apply(s,apply(s,apply(s,k))),apply(X,Y)),apply(Z,Y)) <->
% apply(apply(Z,Y),apply(apply(apply(s,X),Z),Y))
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [585] apply(X,apply(X,X)) <-> apply(apply(apply(s,i),apply(apply(s,i),i)),X)
% Current number of equations to process: 885
% Current number of ordered equations: 1
% Current number of rules: 567
% New rule produced :
% [586] apply(apply(apply(s,i),apply(apply(s,i),i)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [587] apply(apply(X,X),X) <-> apply(apply(apply(s,apply(apply(s,i),i)),i),X)
% Current number of equations to process: 884
% Current number of ordered equations: 1
% Current number of rules: 569
% New rule produced :
% [588] apply(apply(apply(s,apply(apply(s,i),i)),i),X) <-> apply(apply(X,X),X)
% Current number of equations to process: 884
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [589]
% apply(apply(X,Y),apply(Y,Y)) <->
% apply(apply(apply(s,X),apply(apply(s,i),i)),Y)
% Current number of equations to process: 880
% Current number of ordered equations: 3
% Current number of rules: 571
% New rule produced :
% [590]
% apply(apply(X,X),apply(Y,X)) <->
% apply(apply(apply(s,apply(apply(s,i),i)),Y),X)
% Current number of equations to process: 880
% Current number of ordered equations: 2
% Current number of rules: 572
% New rule produced :
% [591]
% apply(apply(apply(s,X),apply(apply(s,i),i)),Y) <->
% apply(apply(X,Y),apply(Y,Y))
% Current number of equations to process: 880
% Current number of ordered equations: 1
% Current number of rules: 573
% New rule produced :
% [592]
% apply(apply(apply(s,apply(apply(s,i),i)),Y),X) <->
% apply(apply(X,X),apply(Y,X))
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced : [593] apply(apply(apply(s,apply(s,i)),k),X) -> X
% Current number of equations to process: 886
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced : [594] apply(apply(apply(s,apply(s,i)),i),apply(k,X)) -> X
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [595] apply(apply(apply(s,i),k),apply(apply(s,i),X)) -> apply(apply(s,i),X)
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [596] apply(apply(apply(s,apply(apply(b,apply(s,i)),X)),k),Y) -> Y
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [597] apply(apply(apply(apply(s,b),apply(s,i)),X),apply(k,Y)) -> apply(X,Y)
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [598] apply(apply(apply(s,apply(s,i)),apply(apply(b,k),X)),Y) -> apply(X,Y)
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [599]
% apply(X,apply(k,X)) <->
% apply(apply(apply(s,apply(apply(s,i),Y)),i),apply(k,X))
% Current number of equations to process: 986
% Current number of ordered equations: 1
% Current number of rules: 581
% New rule produced :
% [600]
% apply(apply(apply(s,apply(apply(s,i),Y)),i),apply(k,X)) <->
% apply(X,apply(k,X))
% Current number of equations to process: 986
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [601]
% apply(apply(apply(s,X),apply(apply(s,apply(s,i)),k)),Y) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 985
% Current number of ordered equations: 1
% Current number of rules: 583
% New rule produced :
% [602]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,X),apply(apply(s,apply(s,i)),k)),Y)
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [603]
% apply(apply(apply(s,apply(apply(s,apply(s,i)),k)),Y),X) <->
% apply(X,apply(Y,X))
% Current number of equations to process: 984
% Current number of ordered equations: 1
% Current number of rules: 585
% New rule produced :
% [604]
% apply(X,apply(Y,X)) <->
% apply(apply(apply(s,apply(apply(s,apply(s,i)),k)),Y),X)
% Current number of equations to process: 984
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [605]
% apply(apply(apply(s,X),apply(X,Y)),Y) <->
% apply(apply(apply(apply(s,b),i),apply(X,Y)),Y)
% Current number of equations to process: 982
% Current number of ordered equations: 1
% Current number of rules: 587
% New rule produced :
% [606]
% apply(apply(apply(apply(s,b),i),apply(X,Y)),Y) <->
% apply(apply(apply(s,X),apply(X,Y)),Y)
% Current number of equations to process: 982
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [607]
% apply(apply(apply(apply(s,s),apply(b,X)),X),Y) ->
% apply(apply(apply(s,i),X),apply(X,Y))
% Current number of equations to process: 981
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [608]
% apply(apply(apply(apply(s,b),i),apply(X,X)),X) ->
% apply(apply(apply(apply(s,s),X),X),X)
% Current number of equations to process: 979
% Current number of ordered equations: 0
% Current number of rules: 590
% New rule produced :
% [609]
% (eq)(apply(X,X),apply(combinator,apply(apply(apply(s,i),i),X))) -> (false)
% Current number of equations to process: 983
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [610] apply(X,apply(X,X)) <-> apply(apply(apply(s,apply(apply(s,b),i)),i),X)
% Current number of equations to process: 1065
% Current number of ordered equations: 1
% Current number of rules: 592
% New rule produced :
% [611] apply(apply(apply(s,apply(apply(s,b),i)),i),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 1065
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced :
% [612]
% apply(Y,apply(Y,apply(X,Y))) <->
% apply(apply(apply(s,apply(apply(s,b),i)),X),Y)
% Current number of equations to process: 1073
% Current number of ordered equations: 1
% Current number of rules: 594
% New rule produced :
% [613]
% apply(apply(apply(s,apply(apply(s,b),i)),X),Y) <->
% apply(Y,apply(Y,apply(X,Y)))
% Current number of equations to process: 1073
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [614]
% apply(apply(apply(s,apply(s,i)),i),apply(apply(s,k),X)) ->
% apply(apply(s,k),X)
% Current number of equations to process: 1122
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [615] apply(apply(apply(apply(s,s),k),X),X) -> apply(apply(apply(s,X),i),X)
% Current number of equations to process: 1193
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [616] apply(X,apply(k,X)) <-> apply(apply(apply(apply(s,s),k),apply(k,X)),Y)
% Current number of equations to process: 1211
% Current number of ordered equations: 1
% Current number of rules: 598
% New rule produced :
% [617] apply(apply(apply(apply(s,s),k),apply(k,X)),Y) <-> apply(X,apply(k,X))
% Current number of equations to process: 1211
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [618]
% apply(X,apply(Y,apply(b,X))) <->
% apply(apply(apply(apply(s,s),k),apply(b,X)),Y)
% Current number of equations to process: 1224
% Current number of ordered equations: 1
% Current number of rules: 600
% New rule produced :
% [619]
% apply(apply(apply(apply(s,s),k),apply(b,X)),Y) <->
% apply(X,apply(Y,apply(b,X)))
% Current number of equations to process: 1224
% Current number of ordered equations: 0
% Current number of rules: 601
% New rule produced :
% [620]
% apply(apply(apply(apply(s,s),k),apply(X,Y)),Y) <->
% apply(apply(apply(s,apply(X,Y)),X),Y)
% Current number of equations to process: 1238
% Current number of ordered equations: 1
% Current number of rules: 602
% New rule produced :
% [621]
% apply(apply(apply(s,apply(X,Y)),X),Y) <->
% apply(apply(apply(apply(s,s),k),apply(X,Y)),Y)
% Current number of equations to process: 1238
% Current number of ordered equations: 0
% Current number of rules: 603
% New rule produced :
% [622]
% apply(X,apply(apply(apply(apply(s,s),k),X),Y)) ->
% apply(apply(apply(s,i),apply(X,Y)),X)
% Current number of equations to process: 1236
% Current number of ordered equations: 1
% Current number of rules: 604
% New rule produced :
% [623]
% apply(apply(apply(apply(s,s),k),Y),apply(X,Y)) ->
% apply(apply(apply(apply(s,i),X),Y),Y)
% Current number of equations to process: 1236
% Current number of ordered equations: 0
% Current number of rules: 605
% New rule produced :
% [624]
% apply(apply(apply(apply(apply(s,s),k),X),Y),X) ->
% apply(apply(apply(s,apply(X,Y)),i),X)
% Current number of equations to process: 1234
% Current number of ordered equations: 0
% Current number of rules: 606
% New rule produced :
% [625]
% apply(apply(X,apply(s,X)),apply(s,X)) <->
% apply(apply(apply(apply(s,s),k),apply(s,X)),i)
% Current number of equations to process: 1233
% Current number of ordered equations: 1
% Current number of rules: 607
% New rule produced :
% [626]
% apply(apply(apply(apply(s,s),k),apply(s,X)),i) <->
% apply(apply(X,apply(s,X)),apply(s,X))
% Current number of equations to process: 1233
% Current number of ordered equations: 0
% Current number of rules: 608
% New rule produced :
% [627]
% apply(X,apply(apply(apply(apply(s,s),k),Y),X)) <->
% apply(apply(apply(apply(s,b),Y),X),Y)
% Current number of equations to process: 1232
% Current number of ordered equations: 1
% Current number of rules: 609
% New rule produced :
% [628]
% apply(apply(apply(apply(s,b),Y),X),Y) <->
% apply(X,apply(apply(apply(apply(s,s),k),Y),X))
% Current number of equations to process: 1232
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [629] apply(apply(apply(s,apply(apply(s,s),k)),i),X) <-> apply(apply(X,X),X)
% Current number of equations to process: 1266
% Current number of ordered equations: 1
% Current number of rules: 611
% New rule produced :
% [630] apply(apply(X,X),X) <-> apply(apply(apply(s,apply(apply(s,s),k)),i),X)
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 612
% Rule [55] apply(X,X) <-> apply(apply(apply(apply(s,b),k),X),Y) is composed into
% [55] apply(X,X) <-> apply(apply(apply(s,i),i),X)
% New rule produced :
% [631] apply(apply(apply(apply(s,b),k),X),Y) -> apply(apply(apply(s,i),i),X)
% Rule [56] apply(apply(apply(apply(s,b),k),X),Y) <-> apply(X,X) collapsed.
% Current number of equations to process: 1386
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced : [632] apply(apply(apply(apply(s,apply(s,b)),k),X),Y) -> X
% Current number of equations to process: 1395
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [633] apply(apply(apply(s,apply(apply(s,b),X)),Y),apply(k,Z)) -> Z
% Current number of equations to process: 1413
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [634] apply(apply(apply(apply(s,apply(s,b)),i),apply(k,X)),Y) -> X
% Current number of equations to process: 1411
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced :
% [635] apply(apply(apply(s,apply(s,apply(apply(s,b),X))),k),Y) -> Y
% Current number of equations to process: 1410
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [636] apply(apply(apply(s,apply(apply(s,apply(s,b)),k)),X),Y) -> Y
% Current number of equations to process: 1416
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [637] apply(apply(apply(s,i),X),apply(apply(apply(s,b),Y),apply(k,Z))) -> Z
% Current number of equations to process: 1422
% Current number of ordered equations: 1
% Current number of rules: 618
% New rule produced :
% [638]
% apply(apply(apply(apply(s,i),k),apply(apply(s,b),X)),Y) ->
% apply(apply(s,b),X)
% Current number of equations to process: 1422
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [639] apply(apply(apply(apply(s,s),X),apply(apply(s,b),Y)),apply(k,Z)) -> Z
% Current number of equations to process: 1421
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [640] apply(apply(apply(apply(s,apply(apply(b,apply(s,b)),X)),k),Y),Z) -> Y
% Current number of equations to process: 1419
% Current number of ordered equations: 1
% Current number of rules: 621
% New rule produced :
% [641] apply(apply(apply(s,apply(apply(b,apply(apply(s,b),X)),k)),Y),Z) -> Z
% Current number of equations to process: 1419
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [642]
% apply(X,apply(apply(X,X),Y)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,i),i)),X),Y)
% Current number of equations to process: 1425
% Current number of ordered equations: 1
% Current number of rules: 623
% New rule produced :
% [643]
% apply(apply(apply(apply(s,b),apply(apply(s,i),i)),X),Y) <->
% apply(X,apply(apply(X,X),Y))
% Current number of equations to process: 1425
% Current number of ordered equations: 0
% Current number of rules: 624
% New rule produced :
% [644]
% apply(X,apply(Y,apply(k,X))) <->
% apply(apply(apply(s,apply(apply(s,i),Z)),Y),apply(k,X))
% Current number of equations to process: 1423
% Current number of ordered equations: 3
% Current number of rules: 625
% New rule produced :
% [645]
% apply(apply(apply(s,X),apply(apply(s,i),Z)),apply(k,Y)) <->
% apply(apply(X,apply(k,Y)),Y)
% Current number of equations to process: 1423
% Current number of ordered equations: 2
% Current number of rules: 626
% New rule produced :
% [646]
% apply(apply(X,apply(k,Y)),Y) <->
% apply(apply(apply(s,X),apply(apply(s,i),Z)),apply(k,Y))
% Current number of equations to process: 1423
% Current number of ordered equations: 1
% Current number of rules: 627
% New rule produced :
% [647]
% apply(apply(apply(s,apply(apply(s,i),Z)),Y),apply(k,X)) <->
% apply(X,apply(Y,apply(k,X)))
% Current number of equations to process: 1423
% Current number of ordered equations: 0
% Current number of rules: 628
% New rule produced :
% [648]
% apply(apply(apply(apply(s,s),apply(s,i)),X),apply(k,Y)) <->
% apply(apply(X,apply(k,Y)),Y)
% Current number of equations to process: 1422
% Current number of ordered equations: 1
% Current number of rules: 629
% New rule produced :
% [649]
% apply(apply(X,apply(k,Y)),Y) <->
% apply(apply(apply(apply(s,s),apply(s,i)),X),apply(k,Y))
% Current number of equations to process: 1422
% Current number of ordered equations: 0
% Current number of rules: 630
% New rule produced :
% [650]
% apply(apply(apply(s,apply(s,apply(apply(s,i),Y))),k),X) <->
% apply(X,apply(X,apply(k,X)))
% Current number of equations to process: 1421
% Current number of ordered equations: 1
% Current number of rules: 631
% New rule produced :
% [651]
% apply(X,apply(X,apply(k,X))) <->
% apply(apply(apply(s,apply(s,apply(apply(s,i),Y))),k),X)
% Current number of equations to process: 1421
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [652]
% apply(apply(apply(apply(apply(s,b),i),apply(b,X)),Y),Z) <->
% apply(X,apply(X,apply(Y,Z)))
% Current number of equations to process: 1420
% Current number of ordered equations: 1
% Current number of rules: 633
% New rule produced :
% [653]
% apply(X,apply(X,apply(Y,Z))) <->
% apply(apply(apply(apply(apply(s,b),i),apply(b,X)),Y),Z)
% Current number of equations to process: 1420
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [654]
% apply(apply(apply(apply(s,b),i),X),apply(X,Y)) ->
% apply(X,apply(apply(apply(apply(s,b),i),X),Y))
% Current number of equations to process: 1419
% Current number of ordered equations: 0
% Current number of rules: 635
% New rule produced :
% [655]
% apply(apply(apply(s,apply(apply(apply(s,i),i),X)),i),Y) <->
% apply(apply(apply(X,X),Y),Y)
% Current number of equations to process: 1418
% Current number of ordered equations: 1
% Current number of rules: 636
% New rule produced :
% [656]
% apply(apply(apply(X,X),Y),Y) <->
% apply(apply(apply(s,apply(apply(apply(s,i),i),X)),i),Y)
% Current number of equations to process: 1418
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [657]
% apply(Y,apply(apply(X,X),Y)) <->
% apply(apply(apply(s,i),apply(apply(apply(s,i),i),X)),Y)
% Current number of equations to process: 1417
% Current number of ordered equations: 1
% Current number of rules: 638
% New rule produced :
% [658]
% apply(apply(apply(s,i),apply(apply(apply(s,i),i),X)),Y) <->
% apply(Y,apply(apply(X,X),Y))
% Current number of equations to process: 1417
% Current number of ordered equations: 0
% Current number of rules: 639
% New rule produced :
% [659]
% apply(apply(apply(s,i),i),apply(apply(apply(s,i),i),X)) <->
% apply(apply(X,X),apply(X,X))
% Current number of equations to process: 1416
% Current number of ordered equations: 1
% Current number of rules: 640
% New rule produced :
% [660]
% apply(apply(X,X),apply(X,X)) <->
% apply(apply(apply(s,i),i),apply(apply(apply(s,i),i),X))
% Current number of equations to process: 1416
% Current number of ordered equations: 0
% Current number of rules: 641
% New rule produced :
% [661]
% apply(X,apply(X,apply(apply(apply(s,i),i),Y))) <->
% apply(apply(apply(apply(s,b),i),X),apply(Y,Y))
% Current number of equations to process: 1415
% Current number of ordered equations: 1
% Current number of rules: 642
% New rule produced :
% [662]
% apply(apply(apply(apply(s,b),i),X),apply(Y,Y)) <->
% apply(X,apply(X,apply(apply(apply(s,i),i),Y)))
% Current number of equations to process: 1415
% Current number of ordered equations: 0
% Current number of rules: 643
% New rule produced :
% [663]
% apply(X,apply(Y,apply(Y,X))) <->
% apply(apply(apply(s,i),apply(apply(apply(s,b),i),Y)),X)
% Current number of equations to process: 1414
% Current number of ordered equations: 1
% Current number of rules: 644
% New rule produced :
% [664]
% apply(apply(apply(s,i),apply(apply(apply(s,b),i),Y)),X) <->
% apply(X,apply(Y,apply(Y,X)))
% Current number of equations to process: 1414
% Current number of ordered equations: 0
% Current number of rules: 645
% New rule produced :
% [665]
% apply(apply(X,apply(X,Y)),Y) <->
% apply(apply(apply(s,apply(apply(apply(s,b),i),X)),i),Y)
% Current number of equations to process: 1413
% Current number of ordered equations: 1
% Current number of rules: 646
% New rule produced :
% [666]
% apply(apply(apply(s,apply(apply(apply(s,b),i),X)),i),Y) <->
% apply(apply(X,apply(X,Y)),Y)
% Current number of equations to process: 1413
% Current number of ordered equations: 0
% Current number of rules: 647
% New rule produced :
% [667]
% apply(X,apply(X,apply(X,Y))) <->
% apply(apply(apply(apply(s,b),apply(apply(s,b),i)),X),Y)
% Current number of equations to process: 1412
% Current number of ordered equations: 1
% Current number of rules: 648
% New rule produced :
% [668]
% apply(apply(apply(apply(s,b),apply(apply(s,b),i)),X),Y) <->
% apply(X,apply(X,apply(X,Y)))
% Current number of equations to process: 1412
% Current number of ordered equations: 0
% Current number of rules: 649
% New rule produced :
% [669]
% apply(apply(X,Y),apply(apply(apply(s,X),X),Y)) <->
% apply(apply(apply(s,apply(s,i)),i),apply(X,Y))
% Current number of equations to process: 1409
% Current number of ordered equations: 1
% Current number of rules: 650
% New rule produced :
% [670]
% apply(apply(apply(s,apply(s,i)),i),apply(X,Y)) <->
% apply(apply(X,Y),apply(apply(apply(s,X),X),Y))
% Current number of equations to process: 1409
% Current number of ordered equations: 0
% Current number of rules: 651
% New rule produced :
% [671]
% apply(apply(apply(s,apply(s,i)),i),apply(X,Y)) <->
% apply(apply(apply(s,X),apply(apply(s,X),X)),Y)
% Current number of equations to process: 1408
% Current number of ordered equations: 1
% Current number of rules: 652
% Rule [585]
% apply(X,apply(X,X)) <-> apply(apply(apply(s,i),apply(apply(s,i),i)),X) is composed into
% [585] apply(X,apply(X,X)) <-> apply(apply(apply(s,apply(s,i)),i),apply(i,X))
% New rule produced :
% [672]
% apply(apply(apply(s,X),apply(apply(s,X),X)),Y) <->
% apply(apply(apply(s,apply(s,i)),i),apply(X,Y))
% Rule
% [586] apply(apply(apply(s,i),apply(apply(s,i),i)),X) <-> apply(X,apply(X,X))
% collapsed.
% Current number of equations to process: 1408
% Current number of ordered equations: 0
% Current number of rules: 652
% New rule produced :
% [673]
% apply(apply(apply(s,i),apply(apply(s,apply(s,i)),i)),X) <->
% apply(X,apply(X,apply(X,X)))
% Current number of equations to process: 1406
% Current number of ordered equations: 1
% Current number of rules: 653
% New rule produced :
% [674]
% apply(X,apply(X,apply(X,X))) <->
% apply(apply(apply(s,i),apply(apply(s,apply(s,i)),i)),X)
% Current number of equations to process: 1406
% Current number of ordered equations: 0
% Current number of rules: 654
% New rule produced :
% [675]
% apply(apply(apply(s,apply(apply(s,apply(s,i)),i)),i),X) <->
% apply(apply(X,apply(X,X)),X)
% Current number of equations to process: 1405
% Current number of ordered equations: 1
% Current number of rules: 655
% New rule produced :
% [676]
% apply(apply(X,apply(X,X)),X) <->
% apply(apply(apply(s,apply(apply(s,apply(s,i)),i)),i),X)
% Current number of equations to process: 1405
% Current number of ordered equations: 0
% Current number of rules: 656
% New rule produced :
% [677]
% apply(apply(apply(apply(s,s),k),apply(apply(s,k),Y)),X) ->
% apply(X,apply(apply(s,k),Y))
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 657
% New rule produced :
% [678]
% apply(apply(X,apply(s,X)),Y) <->
% apply(apply(apply(apply(s,s),k),apply(s,X)),apply(k,Y))
% Current number of equations to process: 1401
% Current number of ordered equations: 1
% Current number of rules: 658
% New rule produced :
% [679]
% apply(apply(apply(apply(s,s),k),apply(s,X)),apply(k,Y)) <->
% apply(apply(X,apply(s,X)),Y)
% Current number of equations to process: 1401
% Current number of ordered equations: 0
% Current number of rules: 659
% New rule produced :
% [680]
% apply(apply(apply(apply(s,s),k),apply(s,apply(s,k))),X) ->
% apply(X,apply(s,apply(s,k)))
% Current number of equations to process: 1400
% Current number of ordered equations: 0
% Current number of rules: 660
% New rule produced :
% [681]
% apply(apply(apply(apply(apply(s,b),i),X),Y),X) ->
% apply(apply(apply(apply(s,s),k),X),apply(X,Y))
% Current number of equations to process: 1399
% Current number of ordered equations: 0
% Current number of rules: 661
% New rule produced :
% [682]
% apply(apply(apply(apply(s,s),k),X),apply(Y,Y)) <->
% apply(apply(X,apply(apply(apply(s,i),i),Y)),X)
% Current number of equations to process: 1398
% Current number of ordered equations: 1
% Current number of rules: 662
% New rule produced :
% [683]
% apply(apply(X,apply(apply(apply(s,i),i),Y)),X) <->
% apply(apply(apply(apply(s,s),k),X),apply(Y,Y))
% Current number of equations to process: 1398
% Current number of ordered equations: 0
% Current number of rules: 663
% New rule produced :
% [684]
% apply(X,apply(apply(Y,X),Y)) <->
% apply(apply(apply(s,i),apply(apply(apply(s,s),k),Y)),X)
% Current number of equations to process: 1397
% Current number of ordered equations: 1
% Current number of rules: 664
% New rule produced :
% [685]
% apply(apply(apply(s,i),apply(apply(apply(s,s),k),Y)),X) <->
% apply(X,apply(apply(Y,X),Y))
% Current number of equations to process: 1397
% Current number of ordered equations: 0
% Current number of rules: 665
% New rule produced :
% [686]
% apply(apply(apply(X,Y),X),Y) <->
% apply(apply(apply(s,apply(apply(apply(s,s),k),X)),i),Y)
% Current number of equations to process: 1396
% Current number of ordered equations: 1
% Current number of rules: 666
% New rule produced :
% [687]
% apply(apply(apply(s,apply(apply(apply(s,s),k),X)),i),Y) <->
% apply(apply(apply(X,Y),X),Y)
% Current number of equations to process: 1396
% Current number of ordered equations: 0
% Current number of rules: 667
% New rule produced :
% [688]
% apply(X,apply(apply(X,Y),X)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,s),k)),X),Y)
% Current number of equations to process: 1395
% Current number of ordered equations: 1
% Current number of rules: 668
% New rule produced :
% [689]
% apply(apply(apply(apply(s,b),apply(apply(s,s),k)),X),Y) <->
% apply(X,apply(apply(X,Y),X))
% Current number of equations to process: 1395
% Current number of ordered equations: 0
% Current number of rules: 669
% New rule produced :
% [690]
% apply(apply(apply(s,i),apply(apply(apply(s,b),Z),apply(k,Y))),X) ->
% apply(X,Y)
% Current number of equations to process: 1386
% Current number of ordered equations: 0
% Current number of rules: 670
% New rule produced :
% [691]
% apply(apply(apply(s,apply(apply(apply(s,b),Z),apply(k,X))),i),Y) ->
% apply(X,Y)
% Current number of equations to process: 1385
% Current number of ordered equations: 0
% Current number of rules: 671
% New rule produced :
% [692]
% apply(apply(apply(apply(s,apply(s,b)),apply(apply(b,k),X)),Y),Z) ->
% apply(X,Y)
% Current number of equations to process: 1384
% Current number of ordered equations: 0
% Current number of rules: 672
% New rule produced :
% [693] apply(X,X) <-> apply(apply(apply(apply(s,s),i),apply(apply(s,k),Y)),X)
% Current number of equations to process: 1440
% Current number of ordered equations: 1
% Current number of rules: 673
% New rule produced :
% [694] apply(apply(apply(apply(s,s),i),apply(apply(s,k),Y)),X) <-> apply(X,X)
% Current number of equations to process: 1440
% Current number of ordered equations: 0
% Current number of rules: 674
% Rule [693]
% apply(X,X) <-> apply(apply(apply(apply(s,s),i),apply(apply(s,k),Y)),X) is composed into
% [693] apply(X,X) <-> apply(apply(apply(s,i),i),apply(apply(apply(s,k),Y),X))
% Rule [463]
% apply(apply(apply(s,apply(X,Z)),apply(X,Z)),apply(Y,Z)) <->
% apply(apply(apply(apply(s,s),i),apply(apply(s,X),Y)),Z) is composed into
% [463]
% apply(apply(apply(s,apply(X,Z)),apply(X,Z)),apply(Y,Z)) <->
% apply(apply(apply(s,i),i),apply(apply(apply(s,X),Y),Z))
% Rule [357]
% apply(apply(X,apply(Y,Z)),apply(X,apply(Y,Z))) <->
% apply(apply(apply(apply(s,s),i),apply(apply(b,X),Y)),Z) is composed into
% [357]
% apply(apply(X,apply(Y,Z)),apply(X,apply(Y,Z))) <->
% apply(apply(apply(s,i),i),apply(apply(apply(b,X),Y),Z))
% Rule [203]
% apply(apply(X,Y),apply(X,Y)) <-> apply(apply(apply(apply(s,s),i),X),Y) is composed into
% [203] apply(apply(X,Y),apply(X,Y)) <-> apply(apply(apply(s,i),i),apply(X,Y))
% Rule [156]
% apply(X,apply(Y,apply(apply(b,X),Y))) <->
% apply(apply(apply(apply(s,s),i),apply(b,X)),Y) is composed into
% [156]
% apply(X,apply(Y,apply(apply(b,X),Y))) <->
% apply(apply(apply(s,i),i),apply(apply(b,X),Y))
% Rule [66] apply(X,X) <-> apply(apply(apply(apply(s,s),i),apply(k,X)),Y) is composed into
% [66] apply(X,X) <-> apply(apply(apply(s,i),i),apply(apply(k,X),Y))
% Rule [60]
% apply(apply(X,Y),apply(X,Y)) <-> apply(apply(apply(apply(s,s),i),X),Y) is composed into
% [60] apply(apply(X,Y),apply(X,Y)) <-> apply(apply(apply(s,i),i),apply(X,Y))
% New rule produced :
% [695]
% apply(apply(apply(apply(s,s),i),X),Y) ->
% apply(apply(apply(s,i),i),apply(X,Y))
% Rule
% [62] apply(apply(apply(apply(s,s),i),X),Y) <-> apply(apply(X,Y),apply(X,Y))
% collapsed.
% Rule [67] apply(apply(apply(apply(s,s),i),apply(k,X)),Y) <-> apply(X,X)
% collapsed.
% Rule
% [157]
% apply(apply(apply(apply(s,s),i),apply(b,X)),Y) <->
% apply(X,apply(Y,apply(apply(b,X),Y))) collapsed.
% Rule
% [358]
% apply(apply(apply(apply(s,s),i),apply(apply(b,X),Y)),Z) <->
% apply(apply(X,apply(Y,Z)),apply(X,apply(Y,Z))) collapsed.
% Rule
% [462]
% apply(apply(apply(apply(s,s),i),apply(apply(s,X),Y)),Z) <->
% apply(apply(apply(s,apply(X,Z)),apply(X,Z)),apply(Y,Z)) collapsed.
% Rule
% [493]
% apply(apply(apply(apply(s,s),i),apply(s,apply(s,X))),Y) ->
% apply(apply(apply(s,i),i),apply(apply(s,apply(s,X)),Y)) collapsed.
% Rule
% [568]
% apply(apply(apply(apply(apply(s,s),i),X),Y),apply(Z,apply(X,Y))) ->
% apply(apply(apply(s,apply(X,Y)),Z),apply(X,Y)) collapsed.
% Rule
% [574]
% apply(apply(X,apply(Y,Z)),apply(apply(apply(apply(s,s),i),Y),Z)) ->
% apply(apply(apply(s,X),apply(Y,Z)),apply(Y,Z)) collapsed.
% Rule
% [694] apply(apply(apply(apply(s,s),i),apply(apply(s,k),Y)),X) <-> apply(X,X)
% collapsed.
% Current number of equations to process: 1453
% Current number of ordered equations: 0
% Current number of rules: 666
% New rule produced :
% [696]
% apply(apply(apply(s,i),apply(X,Y)),apply(X,Y)) <->
% apply(apply(apply(apply(s,s),apply(s,X)),X),Y)
% Current number of equations to process: 1452
% Current number of ordered equations: 1
% Current number of rules: 667
% New rule produced :
% [697]
% apply(apply(apply(apply(s,s),apply(s,X)),X),Y) <->
% apply(apply(apply(s,i),apply(X,Y)),apply(X,Y))
% Current number of equations to process: 1452
% Current number of ordered equations: 0
% Current number of rules: 668
% New rule produced :
% [698]
% apply(apply(apply(s,apply(s,X)),i),X) ->
% apply(apply(apply(s,i),i),apply(X,X))
% Current number of equations to process: 1529
% Current number of ordered equations: 0
% Current number of rules: 669
% New rule produced :
% [699]
% apply(apply(apply(s,apply(s,apply(apply(s,k),Y))),i),X) <->
% apply(X,apply(X,X))
% Current number of equations to process: 1528
% Current number of ordered equations: 1
% Current number of rules: 670
% New rule produced :
% [700]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,apply(s,apply(apply(s,k),Y))),i),X)
% Current number of equations to process: 1528
% Current number of ordered equations: 0
% Current number of rules: 671
% New rule produced :
% [701]
% apply(apply(X,X),apply(X,apply(X,X))) <->
% apply(apply(apply(s,apply(s,apply(s,i))),i),X)
% Current number of equations to process: 1527
% Current number of ordered equations: 1
% Current number of rules: 672
% New rule produced :
% [702]
% apply(apply(apply(s,apply(s,apply(s,i))),i),X) <->
% apply(apply(X,X),apply(X,apply(X,X)))
% Current number of equations to process: 1527
% Current number of ordered equations: 0
% Current number of rules: 673
% New rule produced :
% [703]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,apply(s,apply(s,apply(s,k)))),i),X)
% Current number of equations to process: 1526
% Current number of ordered equations: 1
% Current number of rules: 674
% New rule produced :
% [704]
% apply(apply(apply(s,apply(s,apply(s,apply(s,k)))),i),X) <->
% apply(X,apply(X,X))
% Current number of equations to process: 1526
% Current number of ordered equations: 0
% Current number of rules: 675
% New rule produced :
% [705]
% apply(apply(apply(s,i),i),apply(apply(apply(s,i),i),X)) <->
% apply(apply(apply(s,X),X),X)
% Current number of equations to process: 1525
% Current number of ordered equations: 1
% Current number of rules: 676
% New rule produced :
% [706]
% apply(apply(apply(s,X),X),X) <->
% apply(apply(apply(s,i),i),apply(apply(apply(s,i),i),X))
% Current number of equations to process: 1525
% Current number of ordered equations: 0
% Current number of rules: 677
% New rule produced :
% [707]
% apply(apply(apply(s,apply(s,apply(s,apply(k,X)))),i),Y) <->
% apply(X,apply(Y,apply(Y,Y)))
% Current number of equations to process: 1524
% Current number of ordered equations: 1
% Current number of rules: 678
% New rule produced :
% [708]
% apply(X,apply(Y,apply(Y,Y))) <->
% apply(apply(apply(s,apply(s,apply(s,apply(k,X)))),i),Y)
% Current number of equations to process: 1524
% Current number of ordered equations: 0
% Current number of rules: 679
% New rule produced :
% [709]
% apply(apply(X,X),apply(X,X)) <->
% apply(apply(apply(s,apply(s,apply(apply(s,i),i))),i),X)
% Current number of equations to process: 1566
% Current number of ordered equations: 1
% Current number of rules: 680
% New rule produced :
% [710]
% apply(apply(apply(s,apply(s,apply(apply(s,i),i))),i),X) <->
% apply(apply(X,X),apply(X,X))
% Current number of equations to process: 1566
% Current number of ordered equations: 0
% Current number of rules: 681
% New rule produced :
% [711]
% apply(X,apply(X,apply(X,X))) <->
% apply(apply(apply(s,apply(s,apply(apply(s,b),i))),i),X)
% Current number of equations to process: 1565
% Current number of ordered equations: 1
% Current number of rules: 682
% New rule produced :
% [712]
% apply(apply(apply(s,apply(s,apply(apply(s,b),i))),i),X) <->
% apply(X,apply(X,apply(X,X)))
% Current number of equations to process: 1565
% Current number of ordered equations: 0
% Current number of rules: 683
% New rule produced :
% [713]
% apply(apply(apply(s,apply(s,apply(X,X))),i),X) <->
% apply(apply(apply(apply(s,s),k),apply(X,X)),X)
% Current number of equations to process: 1564
% Current number of ordered equations: 1
% Current number of rules: 684
% New rule produced :
% [714]
% apply(apply(apply(apply(s,s),k),apply(X,X)),X) <->
% apply(apply(apply(s,apply(s,apply(X,X))),i),X)
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 685
% New rule produced :
% [715]
% apply(apply(X,apply(X,X)),X) <->
% apply(apply(apply(s,apply(s,apply(apply(s,s),k))),i),X)
% Current number of equations to process: 1563
% Current number of ordered equations: 1
% Current number of rules: 686
% New rule produced :
% [716]
% apply(apply(apply(s,apply(s,apply(apply(s,s),k))),i),X) <->
% apply(apply(X,apply(X,X)),X)
% Current number of equations to process: 1563
% Current number of ordered equations: 0
% Current number of rules: 687
% New rule produced :
% [717] apply(X,X) <-> apply(apply(apply(s,apply(apply(s,b),apply(s,k))),i),X)
% Current number of equations to process: 1629
% Current number of ordered equations: 1
% Current number of rules: 688
% New rule produced :
% [718] apply(apply(apply(s,apply(apply(s,b),apply(s,k))),i),X) <-> apply(X,X)
% Current number of equations to process: 1629
% Current number of ordered equations: 0
% Current number of rules: 689
% New rule produced :
% [719]
% apply(Y,apply(X,Y)) <->
% apply(apply(apply(s,apply(apply(s,b),apply(s,k))),X),Y)
% Current number of equations to process: 1637
% Current number of ordered equations: 1
% Current number of rules: 690
% New rule produced :
% [720]
% apply(apply(apply(s,apply(apply(s,b),apply(s,k))),X),Y) <->
% apply(Y,apply(X,Y))
% Current number of equations to process: 1637
% Current number of ordered equations: 0
% Current number of rules: 691
% New rule produced :
% [721]
% apply(apply(apply(apply(s,apply(s,b)),X),apply(s,k)),Y) ->
% apply(apply(X,apply(s,k)),Y)
% Current number of equations to process: 1636
% Current number of ordered equations: 0
% Current number of rules: 692
% New rule produced :
% [722] apply(apply(apply(apply(s,s),X),apply(apply(b,k),Y)),Z) -> apply(Y,Z)
% Current number of equations to process: 1683
% Current number of ordered equations: 0
% Current number of rules: 693
% New rule produced :
% [723] apply(apply(apply(s,apply(s,apply(apply(b,k),X))),i),Y) -> apply(X,Y)
% Current number of equations to process: 1682
% Current number of ordered equations: 0
% Current number of rules: 694
% New rule produced :
% [724]
% apply(apply(apply(s,apply(s,apply(apply(b,k),X))),Y),Z) ->
% apply(X,apply(Y,Z))
% Rule
% [723] apply(apply(apply(s,apply(s,apply(apply(b,k),X))),i),Y) -> apply(X,Y)
% collapsed.
% Current number of equations to process: 1690
% Current number of ordered equations: 0
% Current number of rules: 694
% New rule produced :
% [725]
% apply(apply(apply(apply(s,i),X),apply(s,apply(apply(b,k),Y))),Z) ->
% apply(Y,Z)
% Current number of equations to process: 1689
% Current number of ordered equations: 0
% Current number of rules: 695
% New rule produced :
% [726]
% apply(apply(apply(apply(s,apply(apply(b,s),apply(b,k))),X),Y),Z) ->
% apply(Y,Z)
% Current number of equations to process: 1688
% Current number of ordered equations: 0
% Current number of rules: 696
% New rule produced :
% [727]
% apply(apply(apply(s,apply(X,Y)),i),Y) <->
% apply(apply(apply(s,apply(apply(s,X),i)),i),Y)
% Current number of equations to process: 1801
% Current number of ordered equations: 1
% Current number of rules: 697
% New rule produced :
% [728]
% apply(apply(apply(s,apply(apply(s,X),i)),i),Y) <->
% apply(apply(apply(s,apply(X,Y)),i),Y)
% Current number of equations to process: 1801
% Current number of ordered equations: 0
% Current number of rules: 698
% New rule produced :
% [729]
% apply(apply(apply(s,apply(s,i)),X),apply(k,Y)) <->
% apply(apply(X,apply(k,Y)),Y)
% Current number of equations to process: 1966
% Current number of ordered equations: 1
% Current number of rules: 699
% New rule produced :
% [730]
% apply(apply(X,apply(k,Y)),Y) <->
% apply(apply(apply(s,apply(s,i)),X),apply(k,Y))
% Current number of equations to process: 1966
% Current number of ordered equations: 0
% Current number of rules: 700
% New rule produced :
% [731]
% apply(X,apply(apply(s,k),X)) <->
% apply(apply(apply(s,apply(s,i)),apply(s,k)),X)
% Current number of equations to process: 1965
% Current number of ordered equations: 1
% Current number of rules: 701
% New rule produced :
% [732]
% apply(apply(apply(s,apply(s,i)),apply(s,k)),X) <->
% apply(X,apply(apply(s,k),X))
% Current number of equations to process: 1965
% Current number of ordered equations: 0
% Current number of rules: 702
% New rule produced :
% [733]
% apply(X,apply(apply(X,apply(b,X)),Y)) <->
% apply(apply(apply(apply(s,apply(s,i)),b),X),Y)
% Current number of equations to process: 1977
% Current number of ordered equations: 1
% Current number of rules: 703
% New rule produced :
% [734]
% apply(apply(apply(apply(s,apply(s,i)),b),X),Y) <->
% apply(X,apply(apply(X,apply(b,X)),Y))
% Current number of equations to process: 1977
% Current number of ordered equations: 0
% Current number of rules: 704
% New rule produced :
% [735]
% apply(apply(apply(apply(apply(s,X),i),Y),Y),Y) <->
% apply(apply(apply(s,apply(apply(X,Y),Y)),i),Y)
% Current number of equations to process: 1991
% Current number of ordered equations: 1
% Current number of rules: 705
% New rule produced :
% [736]
% apply(apply(apply(s,apply(apply(X,Y),Y)),i),Y) <->
% apply(apply(apply(apply(apply(s,X),i),Y),Y),Y)
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 706
% New rule produced :
% [737]
% apply(apply(X,Y),apply(apply(X,apply(s,X)),Y)) <->
% apply(apply(apply(apply(s,apply(s,i)),s),X),Y)
% Current number of equations to process: 1990
% Current number of ordered equations: 1
% Current number of rules: 707
% New rule produced :
% [738]
% apply(apply(apply(apply(s,apply(s,i)),s),X),Y) <->
% apply(apply(X,Y),apply(apply(X,apply(s,X)),Y))
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 708
% New rule produced :
% [739]
% apply(X,apply(Y,apply(Y,apply(apply(b,X),Y)))) <->
% apply(apply(apply(s,apply(s,i)),apply(b,X)),Y)
% Current number of equations to process: 1989
% Current number of ordered equations: 1
% Current number of rules: 709
% New rule produced :
% [740]
% apply(apply(apply(s,apply(s,i)),apply(b,X)),Y) <->
% apply(X,apply(Y,apply(Y,apply(apply(b,X),Y))))
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 710
% New rule produced :
% [741] apply(apply(apply(s,i),i),apply(apply(s,i),k)) -> apply(apply(s,i),k)
% Current number of equations to process: 2037
% Current number of ordered equations: 0
% Current number of rules: 711
% New rule produced :
% [742]
% (eq)(apply(X,X),apply(apply(apply(s,apply(s,apply(k,combinator))),i),X)) ->
% (false)
% Current number of equations to process: 2087
% Current number of ordered equations: 0
% Current number of rules: 712
% New rule produced :
% [743] apply(X,X) <-> apply(apply(apply(s,apply(s,apply(k,i))),i),X)
% Current number of equations to process: 2112
% Current number of ordered equations: 1
% Current number of rules: 713
% New rule produced :
% [744] apply(apply(apply(s,apply(s,apply(k,i))),i),X) <-> apply(X,X)
% Current number of equations to process: 2112
% Current number of ordered equations: 0
% Current number of rules: 714
% New rule produced :
% [745] apply(apply(apply(s,apply(s,apply(k,apply(k,X)))),i),Y) -> X
% Current number of equations to process: 2126
% Current number of ordered equations: 0
% Current number of rules: 715
% New rule produced :
% [746] apply(X,X) <-> apply(apply(apply(apply(s,apply(s,apply(k,k))),i),X),Y)
% Current number of equations to process: 2148
% Current number of ordered equations: 2
% Current number of rules: 716
% New rule produced :
% [747] apply(apply(apply(s,apply(s,apply(k,X))),i),apply(k,Y)) -> apply(X,Y)
% Current number of equations to process: 2148
% Current number of ordered equations: 1
% Current number of rules: 717
% New rule produced :
% [748] apply(apply(apply(apply(s,apply(s,apply(k,k))),i),X),Y) <-> apply(X,X)
% Current number of equations to process: 2148
% Current number of ordered equations: 0
% Current number of rules: 718
% New rule produced :
% [749]
% apply(apply(apply(s,apply(s,apply(k,X))),i),X) ->
% apply(apply(apply(s,i),X),X)
% Current number of equations to process: 2147
% Current number of ordered equations: 0
% Current number of rules: 719
% New rule produced :
% [750] apply(apply(apply(apply(s,apply(s,apply(k,apply(s,k)))),i),X),Y) -> Y
% Current number of equations to process: 2163
% Current number of ordered equations: 0
% Current number of rules: 720
% Rule [746]
% apply(X,X) <-> apply(apply(apply(apply(s,apply(s,apply(k,k))),i),X),Y) is composed into
% [746] apply(X,X) <-> apply(apply(k,apply(apply(apply(s,i),i),X)),Y)
% Rule [743] apply(X,X) <-> apply(apply(apply(s,apply(s,apply(k,i))),i),X) is composed into
% [743] apply(X,X) <-> apply(i,apply(apply(apply(s,i),i),X))
% Rule [76]
% apply(X,apply(Y,Y)) <-> apply(apply(apply(s,apply(s,apply(k,X))),i),Y) is composed into
% [76] apply(X,apply(Y,Y)) <-> apply(X,apply(apply(apply(s,i),i),Y))
% New rule produced :
% [751]
% apply(apply(apply(s,apply(s,apply(k,X))),i),Y) ->
% apply(X,apply(apply(apply(s,i),i),Y))
% Rule
% [77] apply(apply(apply(s,apply(s,apply(k,X))),i),Y) <-> apply(X,apply(Y,Y))
% collapsed.
% Rule
% [742]
% (eq)(apply(X,X),apply(apply(apply(s,apply(s,apply(k,combinator))),i),X)) ->
% (false) collapsed.
% Rule [744] apply(apply(apply(s,apply(s,apply(k,i))),i),X) <-> apply(X,X)
% collapsed.
% Rule [745] apply(apply(apply(s,apply(s,apply(k,apply(k,X)))),i),Y) -> X
% collapsed.
% Rule
% [747] apply(apply(apply(s,apply(s,apply(k,X))),i),apply(k,Y)) -> apply(X,Y)
% collapsed.
% Rule
% [748] apply(apply(apply(apply(s,apply(s,apply(k,k))),i),X),Y) <-> apply(X,X)
% collapsed.
% Rule
% [749]
% apply(apply(apply(s,apply(s,apply(k,X))),i),X) ->
% apply(apply(apply(s,i),X),X) collapsed.
% Rule
% [750] apply(apply(apply(apply(s,apply(s,apply(k,apply(s,k)))),i),X),Y) -> Y
% collapsed.
% Current number of equations to process: 2180
% Current number of ordered equations: 0
% Current number of rules: 713
% New rule produced :
% [752]
% apply(X,apply(apply(apply(s,i),Y),Y)) <->
% apply(apply(apply(s,apply(s,apply(b,X))),i),Y)
% Current number of equations to process: 2289
% Current number of ordered equations: 1
% Current number of rules: 714
% New rule produced :
% [753]
% apply(apply(apply(s,apply(s,apply(b,X))),i),Y) <->
% apply(X,apply(apply(apply(s,i),Y),Y))
% Current number of equations to process: 2289
% Current number of ordered equations: 0
% Current number of rules: 715
% New rule produced :
% [754]
% apply(X,apply(apply(apply(s,i),Z),apply(Y,Z))) <->
% apply(apply(apply(s,apply(s,apply(b,X))),Y),Z)
% Current number of equations to process: 2300
% Current number of ordered equations: 1
% Current number of rules: 716
% New rule produced :
% [755]
% apply(apply(apply(s,apply(s,apply(b,X))),Y),Z) <->
% apply(X,apply(apply(apply(s,i),Z),apply(Y,Z)))
% Current number of equations to process: 2300
% Current number of ordered equations: 0
% Current number of rules: 717
% New rule produced :
% [756]
% apply(X,apply(apply(apply(s,i),apply(b,X)),Y)) <->
% apply(apply(apply(s,i),i),apply(apply(b,X),Y))
% Current number of equations to process: 2299
% Current number of ordered equations: 1
% Current number of rules: 718
% New rule produced :
% [757]
% apply(apply(apply(s,i),i),apply(apply(b,X),Y)) <->
% apply(X,apply(apply(apply(s,i),apply(b,X)),Y))
% Current number of equations to process: 2299
% Current number of ordered equations: 0
% Current number of rules: 719
% New rule produced :
% [758]
% (eq)(apply(X,apply(apply(Y,X),apply(Z,X))),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(s,Y),Z)),X)))
% -> (false)
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 720
% New rule produced :
% [759]
% (eq)(apply(X,apply(apply(Y,Y),X)),apply(combinator,apply(apply(apply(s,i),
% apply(apply(
% apply(s,i),i),Y)),X)))
% -> (false)
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 721
% New rule produced :
% [760]
% (eq)(apply(X,apply(Y,apply(Z,X))),apply(combinator,apply(apply(apply(s,i),
% apply(apply(b,Y),Z)),X)))
% -> (false)
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 722
% New rule produced :
% [761]
% (eq)(apply(apply(X,Y),apply(Y,apply(X,Y))),apply(combinator,apply(apply(
% apply(s,
% apply(s,i)),X),Y)))
% -> (false)
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 723
% New rule produced :
% [762]
% (eq)(apply(X,apply(X,X)),apply(combinator,apply(apply(apply(s,apply(s,i)),i),X)))
% -> (false)
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 724
% New rule produced :
% [763]
% (eq)(apply(X,apply(apply(Y,X),X)),apply(combinator,apply(apply(apply(s,i),
% apply(apply(s,Y),i)),X)))
% -> (false)
% Current number of equations to process: 2319
% Current number of ordered equations: 0
% Current number of rules: 725
% New rule produced :
% [764]
% (eq)(apply(X,apply(X,apply(Y,X))),apply(combinator,apply(apply(apply(s,i),
% apply(apply(s,i),Y)),X)))
% -> (false)
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 726
% New rule produced :
% [765]
% (eq)(apply(X,apply(Y,apply(Z,apply(apply(b,X),Y)))),apply(combinator,
% apply(apply(apply(s,i),Z),
% apply(apply(b,X),Y)))) ->
% (false)
% Current number of equations to process: 2319
% Current number of ordered equations: 0
% Current number of rules: 727
% New rule produced :
% [766]
% (eq)(apply(apply(X,Y),apply(apply(apply(s,Z),X),Y)),apply(combinator,
% apply(apply(apply(s,i),
% apply(Z,Y)),
% apply(X,Y)))) -> (false)
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 728
% New rule produced :
% [767]
% (eq)(apply(X,apply(Y,apply(Z,X))),apply(combinator,apply(apply(apply(s,i),
% apply(apply(s,
% apply(k,Y)),Z)),X)))
% -> (false)
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 729
% New rule produced :
% [768]
% (eq)(apply(X,apply(apply(Y,X),Z)),apply(combinator,apply(apply(apply(s,i),
% apply(apply(s,Y),
% apply(k,Z))),X))) ->
% (false)
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 730
% New rule produced :
% [769]
% (eq)(apply(apply(X,X),apply(Y,apply(X,X))),apply(combinator,apply(apply(
% apply(s,i),Y),
% apply(apply(
% apply(s,i),i),X))))
% -> (false)
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 731
% New rule produced :
% [770]
% (eq)(apply(X,apply(Y,apply(apply(Z,Y),X))),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(
% apply(s,b),Z),Y)),X)))
% -> (false)
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 732
% New rule produced :
% [771]
% (eq)(apply(X,apply(apply(Y,apply(Z,Y)),X)),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(
% apply(s,i),Z),Y)),X)))
% -> (false)
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 733
% New rule produced :
% [772]
% (eq)(apply(X,apply(apply(Y,X),apply(apply(Z,Y),X))),apply(combinator,
% apply(apply(apply(s,i),
% apply(apply(
% apply(s,s),Z),Y)),X)))
% -> (false)
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 734
% New rule produced :
% [773]
% (eq)(apply(apply(X,apply(Y,X)),apply(Z,apply(apply(apply(s,i),Y),X))),
% apply(combinator,apply(apply(apply(s,i),Z),apply(X,apply(Y,X))))) -> (false)
% Current number of equations to process: 2315
% Current number of ordered equations: 1
% Current number of rules: 735
% New rule produced :
% [774]
% (eq)(apply(apply(X,apply(Y,X)),apply(Z,apply(X,apply(Y,X)))),apply(combinator,
% apply(apply(
% apply(s,i),Z),
% apply(apply(
% apply(s,i),Y),X))))
% -> (false)
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 736
% New rule produced :
% [775]
% (eq)(apply(apply(X,Y),apply(apply(Z,Y),apply(X,Y))),apply(combinator,
% apply(apply(apply(s,
% apply(
% apply(b,
% apply(s,i)),Z)),X),Y)))
% -> (false)
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 737
% New rule produced :
% [776]
% (eq)(apply(apply(X,apply(Y,Z)),apply(Z,apply(X,apply(Y,Z)))),apply(combinator,
% apply(apply(
% apply(s,
% apply(s,i)),
% apply(
% apply(b,X),Y)),Z)))
% -> (false)
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 738
% New rule produced :
% [777]
% (eq)(apply(apply(X,apply(Y,X)),apply(apply(Y,X),apply(X,apply(Y,X)))),
% apply(combinator,apply(apply(apply(s,apply(s,apply(s,i))),Y),X))) -> (false)
% Current number of equations to process: 2319
% Current number of ordered equations: 0
% Current number of rules: 739
% New rule produced :
% [778]
% (eq)(apply(X,apply(apply(Y,apply(Z,X)),apply(X,apply(Z,X)))),apply(combinator,
% apply(apply(
% apply(s,i),
% apply(
% apply(s,
% apply(s,Y)),Z)),X)))
% -> (false)
% Current number of equations to process: 2319
% Current number of ordered equations: 0
% Current number of rules: 740
% New rule produced :
% [779]
% (eq)(apply(X,apply(apply(Y,X),apply(Z,apply(apply(apply(s,b),Y),X)))),
% apply(combinator,apply(apply(apply(s,i),Z),apply(apply(apply(s,b),Y),X)))) ->
% (false)
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 741
% New rule produced :
% [780]
% (eq)(apply(apply(apply(X,Y),Z),apply(apply(apply(apply(s,s),X),Y),Z)),
% apply(combinator,apply(apply(apply(s,i),apply(Y,Z)),apply(apply(X,Y),Z)))) ->
% (false)
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 742
% New rule produced :
% [781]
% (eq)(apply(apply(X,Y),apply(apply(apply(s,apply(apply(b,Z),V_3)),X),Y)),
% apply(combinator,apply(apply(apply(s,i),apply(Z,apply(V_3,Y))),apply(X,Y))))
% -> (false)
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 743
% New rule produced :
% [782]
% (eq)(apply(X,apply(apply(Y,apply(Z,X)),apply(V_3,X))),apply(combinator,
% apply(apply(apply(s,i),
% apply(apply(s,
% apply(
% apply(b,Y),Z)),V_3)),X)))
% -> (false)
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 744
% New rule produced :
% [783]
% (eq)(apply(X,apply(apply(Y,X),apply(Z,apply(V_3,X)))),apply(combinator,
% apply(apply(apply(s,i),
% apply(apply(s,Y),
% apply(apply(b,Z),V_3))),X)))
% -> (false)
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 745
% New rule produced :
% [784]
% (eq)(apply(apply(apply(s,X),apply(apply(s,Y),X)),Z),apply(combinator,
% apply(apply(apply(s,i),
% apply(Y,Z)),
% apply(X,Z)))) -> (false)
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 746
% New rule produced :
% [785]
% (eq)(apply(X,apply(apply(apply(s,Y),Z),X)),apply(combinator,apply(X,apply(
% apply(Y,X),
% apply(Z,X)))))
% -> (false)
% Current number of equations to process: 2319
% Current number of ordered equations: 0
% Current number of rules: 747
% New rule produced :
% [786]
% (eq)(apply(X,apply(apply(apply(Y,X),apply(Z,X)),apply(V_3,X))),apply(combinator,
% apply(
% apply(
% apply(s,i),
% apply(
% apply(s,
% apply(
% apply(s,Y),Z)),V_3)),X)))
% -> (false)
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 748
% New rule produced :
% [787]
% (eq)(apply(X,apply(apply(Y,X),apply(apply(Z,X),apply(V_3,X)))),apply(combinator,
% apply(
% apply(
% apply(s,i),
% apply(
% apply(s,Y),
% apply(
% apply(s,Z),V_3))),X)))
% -> (false)
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 749
% New rule produced :
% [788]
% (eq)(apply(apply(X,apply(Y,Z)),apply(apply(apply(s,V_3),apply(apply(b,X),Y)),Z)),
% apply(combinator,apply(apply(apply(s,i),apply(V_3,Z)),apply(X,apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 750
% New rule produced :
% [789]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),apply(Y,apply(apply(X,Y),apply(Z,Y)))),
% apply(combinator,apply(apply(apply(s,apply(s,i)),apply(apply(s,X),Z)),Y))) ->
% (false)
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 751
% New rule produced :
% [790]
% (eq)(apply(apply(X,Y),apply(apply(apply(s,apply(apply(s,Z),V_3)),X),Y)),
% apply(combinator,apply(apply(apply(s,i),apply(apply(Z,Y),apply(V_3,Y))),
% apply(X,Y)))) -> (false)
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 752
% New rule produced :
% [791]
% (eq)(apply(X,apply(Y,X)),apply(combinator,apply(apply(apply(s,i),apply(
% apply(s,
% apply(s,k)),Y)),X)))
% -> (false)
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 753
% New rule produced :
% [792]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),apply(apply(apply(s,V_3),apply(
% apply(s,X),Z)),Y)),
% apply(combinator,apply(apply(apply(s,i),apply(V_3,Y)),apply(apply(X,Y),
% apply(Z,Y))))) ->
% (false)
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 754
% New rule produced :
% [793]
% (eq)(apply(apply(X,apply(Y,Z)),apply(apply(apply(s,apply(V_3,Z)),X),apply(Y,Z))),
% apply(combinator,apply(apply(apply(s,i),apply(apply(apply(s,V_3),Y),Z)),
% apply(X,apply(Y,Z))))) -> (false)
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 755
% New rule produced :
% [794]
% (eq)(apply(apply(apply(s,apply(s,i)),i),X),apply(combinator,apply(apply(
% apply(s,i),X),X)))
% -> (false)
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 756
% New rule produced :
% [795]
% (eq)(apply(X,apply(Y,apply(Y,X))),apply(combinator,apply(apply(apply(s,i),
% apply(apply(
% apply(s,b),i),Y)),X)))
% -> (false)
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 757
% New rule produced :
% [796]
% (eq)(apply(X,apply(X,apply(X,X))),apply(combinator,apply(apply(apply(s,i),
% apply(apply(s,
% apply(s,i)),i)),X)))
% -> (false)
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 758
% New rule produced :
% [797]
% (eq)(apply(X,apply(apply(Y,X),Y)),apply(combinator,apply(apply(apply(s,i),
% apply(apply(
% apply(s,s),k),Y)),X)))
% -> (false)
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 759
% New rule produced :
% [798]
% (eq)(apply(apply(X,X),apply(X,apply(X,X))),apply(combinator,apply(apply(
% apply(s,
% apply(s,
% apply(s,i))),i),X)))
% -> (false)
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 760
% New rule produced :
% [799]
% (eq)(apply(X,apply(apply(Y,X),apply(X,X))),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(s,
% apply(s,Y)),i)),X)))
% -> (false)
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 761
% New rule produced :
% [800]
% (eq)(apply(X,apply(Y,X)),apply(combinator,apply(apply(apply(s,i),apply(
% apply(
% apply(s,b),
% apply(s,k)),Y)),X)))
% -> (false)
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 762
% New rule produced :
% [801]
% (eq)(apply(X,apply(Y,X)),apply(combinator,apply(apply(apply(s,i),apply(
% apply(s,
% apply(
% apply(b,k),Y)),Z)),X)))
% -> (false)
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 763
% New rule produced :
% [802]
% (eq)(apply(X,apply(apply(Y,X),X)),apply(combinator,apply(X,apply(apply(
% apply(s,Y),i),X))))
% -> (false)
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 764
% New rule produced :
% [803]
% (eq)(apply(apply(apply(s,apply(s,i)),X),Y),apply(combinator,apply(apply(
% apply(s,i),Y),
% apply(X,Y)))) ->
% (false)
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 765
% New rule produced :
% [804]
% (eq)(apply(X,apply(X,apply(apply(apply(s,Y),i),X))),apply(combinator,
% apply(apply(apply(s,i),
% apply(apply(s,i),
% apply(Y,X))),X)))
% -> (false)
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 766
% New rule produced :
% [805]
% (eq)(apply(X,apply(apply(apply(apply(s,Y),i),X),X)),apply(combinator,
% apply(apply(apply(s,i),
% apply(apply(s,
% apply(Y,X)),i)),X)))
% -> (false)
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 767
% New rule produced :
% [806]
% (eq)(apply(X,apply(apply(Y,X),apply(X,apply(Y,X)))),apply(combinator,
% apply(apply(apply(s,i),
% apply(apply(s,
% apply(s,i)),Y)),X)))
% -> (false)
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 768
% New rule produced :
% [807]
% (eq)(apply(X,apply(Y,apply(apply(apply(s,i),Z),X))),apply(combinator,
% apply(apply(apply(s,i),
% apply(apply(s,
% apply(b,Y)),Z)),X)))
% -> (false)
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 769
% New rule produced :
% [808]
% (eq)(apply(apply(apply(s,X),apply(apply(s,i),X)),apply(Y,X)),apply(combinator,
% apply(apply(
% apply(s,i),
% apply(Y,X)),
% apply(X,
% apply(Y,X)))))
% -> (false)
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 770
% New rule produced :
% [809]
% apply(X,apply(apply(apply(s,X),i),X)) <->
% apply(apply(apply(apply(s,apply(s,b)),i),X),X)
% Current number of equations to process: 2350
% Current number of ordered equations: 3
% Current number of rules: 771
% New rule produced :
% [810]
% apply(Y,apply(apply(apply(s,X),i),Y)) <->
% apply(apply(apply(s,apply(apply(s,b),X)),i),Y)
% Current number of equations to process: 2350
% Current number of ordered equations: 2
% Current number of rules: 772
% New rule produced :
% [811]
% apply(apply(apply(s,apply(apply(s,b),X)),i),Y) <->
% apply(Y,apply(apply(apply(s,X),i),Y))
% Current number of equations to process: 2350
% Current number of ordered equations: 1
% Current number of rules: 773
% New rule produced :
% [812]
% apply(apply(apply(apply(s,apply(s,b)),i),X),X) <->
% apply(X,apply(apply(apply(s,X),i),X))
% Current number of equations to process: 2350
% Current number of ordered equations: 0
% Current number of rules: 774
% New rule produced :
% [813]
% apply(apply(apply(s,apply(apply(b,X),Y)),i),Y) ->
% apply(apply(X,apply(apply(apply(s,i),i),Y)),Y)
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 775
% New rule produced :
% [814] apply(apply(apply(apply(s,s),apply(s,k)),apply(k,X)),Y) -> apply(X,Y)
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 776
% Rule [84]
% apply(apply(X,Y),Y) <-> apply(apply(apply(apply(s,s),apply(s,k)),X),Y) is composed into
% [84] apply(apply(X,Y),Y) <-> apply(apply(apply(s,X),i),Y)
% New rule produced :
% [815]
% apply(apply(apply(apply(s,s),apply(s,k)),X),Y) ->
% apply(apply(apply(s,X),i),Y)
% Rule
% [85] apply(apply(apply(apply(s,s),apply(s,k)),X),Y) <-> apply(apply(X,Y),Y)
% collapsed.
% Rule
% [814] apply(apply(apply(apply(s,s),apply(s,k)),apply(k,X)),Y) -> apply(X,Y)
% collapsed.
% Current number of equations to process: 2418
% Current number of ordered equations: 0
% Current number of rules: 775
% New rule produced :
% [816] apply(X,apply(Y,X)) <-> apply(apply(apply(s,i),apply(apply(b,i),Y)),X)
% Current number of equations to process: 2482
% Current number of ordered equations: 1
% Current number of rules: 776
% New rule produced :
% [817] apply(apply(apply(s,i),apply(apply(b,i),Y)),X) <-> apply(X,apply(Y,X))
% Current number of equations to process: 2482
% Current number of ordered equations: 0
% Current number of rules: 777
% New rule produced :
% [818]
% apply(apply(X,Y),apply(apply(X,X),Y)) <->
% apply(apply(apply(apply(s,s),apply(apply(s,i),i)),X),Y)
% Current number of equations to process: 2545
% Current number of ordered equations: 1
% Current number of rules: 778
% New rule produced :
% [819]
% apply(apply(apply(apply(s,s),apply(apply(s,i),i)),X),Y) <->
% apply(apply(X,Y),apply(apply(X,X),Y))
% Current number of equations to process: 2545
% Current number of ordered equations: 0
% Current number of rules: 779
% New rule produced :
% [820]
% apply(apply(apply(s,apply(s,X)),apply(apply(s,i),i)),Y) <->
% apply(apply(apply(s,apply(s,X)),Y),Y)
% Current number of equations to process: 2543
% Current number of ordered equations: 1
% Current number of rules: 780
% New rule produced :
% [821]
% apply(apply(apply(s,apply(s,X)),Y),Y) <->
% apply(apply(apply(s,apply(s,X)),apply(apply(s,i),i)),Y)
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 781
% New rule produced :
% [822]
% apply(apply(apply(s,apply(apply(b,apply(apply(s,i),Z)),k)),Y),X) <->
% apply(X,apply(Y,X))
% Current number of equations to process: 2542
% Current number of ordered equations: 1
% Current number of rules: 782
% New rule produced :
% [823]
% apply(X,apply(Y,X)) <->
% apply(apply(apply(s,apply(apply(b,apply(apply(s,i),Z)),k)),Y),X)
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 783
% New rule produced :
% [824]
% apply(apply(apply(s,X),apply(apply(b,apply(apply(s,i),Z)),k)),Y) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 2541
% Current number of ordered equations: 1
% Current number of rules: 784
% New rule produced :
% [825]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,X),apply(apply(b,apply(apply(s,i),Z)),k)),Y)
% Current number of equations to process: 2541
% Current number of ordered equations: 0
% Current number of rules: 785
% New rule produced :
% [826]
% apply(apply(apply(apply(s,b),i),apply(apply(b,X),Y)),Z) <->
% apply(X,apply(Y,apply(X,apply(Y,Z))))
% Current number of equations to process: 2540
% Current number of ordered equations: 1
% Current number of rules: 786
% New rule produced :
% [827]
% apply(X,apply(Y,apply(X,apply(Y,Z)))) <->
% apply(apply(apply(apply(s,b),i),apply(apply(b,X),Y)),Z)
% Current number of equations to process: 2540
% Current number of ordered equations: 0
% Current number of rules: 787
% New rule produced :
% [828]
% apply(apply(apply(apply(apply(s,b),i),X),Y),apply(X,Y)) ->
% apply(apply(apply(s,X),i),apply(X,Y))
% Current number of equations to process: 2539
% Current number of ordered equations: 0
% Current number of rules: 788
% New rule produced :
% [829]
% apply(X,apply(X,Y)) <->
% apply(apply(apply(apply(s,b),i),apply(apply(s,apply(s,k)),X)),Y)
% Current number of equations to process: 2538
% Current number of ordered equations: 1
% Current number of rules: 789
% New rule produced :
% [830]
% apply(apply(apply(apply(s,b),i),apply(apply(s,apply(s,k)),X)),Y) <->
% apply(X,apply(X,Y))
% Current number of equations to process: 2538
% Current number of ordered equations: 0
% Current number of rules: 790
% New rule produced :
% [831]
% apply(apply(X,Z),apply(apply(Y,Y),Z)) <->
% apply(apply(apply(s,X),apply(apply(apply(s,i),i),Y)),Z)
% Current number of equations to process: 2535
% Current number of ordered equations: 3
% Current number of rules: 791
% New rule produced :
% [832]
% apply(apply(apply(X,X),Z),apply(Y,Z)) <->
% apply(apply(apply(s,apply(apply(apply(s,i),i),X)),Y),Z)
% Current number of equations to process: 2535
% Current number of ordered equations: 2
% Current number of rules: 792
% New rule produced :
% [833]
% apply(apply(apply(s,apply(apply(apply(s,i),i),X)),Y),Z) <->
% apply(apply(apply(X,X),Z),apply(Y,Z))
% Current number of equations to process: 2535
% Current number of ordered equations: 1
% Current number of rules: 793
% New rule produced :
% [834]
% apply(apply(apply(s,X),apply(apply(apply(s,i),i),Y)),Z) <->
% apply(apply(X,Z),apply(apply(Y,Y),Z))
% Current number of equations to process: 2535
% Current number of ordered equations: 0
% Current number of rules: 794
% New rule produced :
% [835]
% apply(apply(apply(s,X),i),apply(apply(apply(s,i),i),Y)) <->
% apply(apply(X,apply(Y,Y)),apply(Y,Y))
% Current number of equations to process: 2534
% Current number of ordered equations: 1
% Current number of rules: 795
% New rule produced :
% [836]
% apply(apply(X,apply(Y,Y)),apply(Y,Y)) <->
% apply(apply(apply(s,X),i),apply(apply(apply(s,i),i),Y))
% Current number of equations to process: 2534
% Current number of ordered equations: 0
% Current number of rules: 796
% New rule produced :
% [837]
% apply(apply(apply(s,i),Y),apply(apply(apply(s,i),i),X)) <->
% apply(apply(X,X),apply(Y,apply(X,X)))
% Current number of equations to process: 2533
% Current number of ordered equations: 1
% Current number of rules: 797
% New rule produced :
% [838]
% apply(apply(X,X),apply(Y,apply(X,X))) <->
% apply(apply(apply(s,i),Y),apply(apply(apply(s,i),i),X))
% Current number of equations to process: 2533
% Current number of ordered equations: 0
% Current number of rules: 798
% New rule produced :
% [839]
% apply(apply(X,Y),apply(X,apply(X,Y))) <->
% apply(apply(apply(apply(s,s),apply(apply(s,b),i)),X),Y)
% Current number of equations to process: 2532
% Current number of ordered equations: 1
% Current number of rules: 799
% New rule produced :
% [840]
% apply(apply(apply(apply(s,s),apply(apply(s,b),i)),X),Y) <->
% apply(apply(X,Y),apply(X,apply(X,Y)))
% Current number of equations to process: 2532
% Current number of ordered equations: 0
% Current number of rules: 800
% New rule produced :
% [841]
% apply(X,apply(X,apply(apply(b,X),Y))) <->
% apply(apply(apply(apply(s,apply(s,i)),i),apply(b,X)),Y)
% Current number of equations to process: 2531
% Current number of ordered equations: 1
% Current number of rules: 801
% New rule produced :
% [842]
% apply(apply(apply(apply(s,apply(s,i)),i),apply(b,X)),Y) <->
% apply(X,apply(X,apply(apply(b,X),Y)))
% Current number of equations to process: 2531
% Current number of ordered equations: 0
% Current number of rules: 802
% New rule produced :
% [843]
% apply(apply(X,Y),apply(Y,apply(Y,Y))) <->
% apply(apply(apply(s,X),apply(apply(s,apply(s,i)),i)),Y)
% Current number of equations to process: 2529
% Current number of ordered equations: 3
% Current number of rules: 803
% New rule produced :
% [844]
% apply(apply(X,apply(X,X)),apply(Y,X)) <->
% apply(apply(apply(s,apply(apply(s,apply(s,i)),i)),Y),X)
% Current number of equations to process: 2529
% Current number of ordered equations: 2
% Current number of rules: 804
% New rule produced :
% [845]
% apply(apply(apply(s,apply(apply(s,apply(s,i)),i)),Y),X) <->
% apply(apply(X,apply(X,X)),apply(Y,X))
% Current number of equations to process: 2529
% Current number of ordered equations: 1
% Current number of rules: 805
% New rule produced :
% [846]
% apply(apply(apply(s,X),apply(apply(s,apply(s,i)),i)),Y) <->
% apply(apply(X,Y),apply(Y,apply(Y,Y)))
% Current number of equations to process: 2529
% Current number of ordered equations: 0
% Current number of rules: 806
% New rule produced :
% [847]
% apply(apply(X,Y),apply(apply(apply(apply(s,s),k),Y),Z)) ->
% apply(apply(apply(s,X),apply(Y,Z)),Y)
% Current number of equations to process: 2527
% Current number of ordered equations: 1
% Current number of rules: 807
% New rule produced :
% [848]
% apply(apply(apply(apply(apply(s,s),k),X),Y),apply(Z,X)) ->
% apply(apply(apply(s,apply(X,Y)),Z),X)
% Current number of equations to process: 2527
% Current number of ordered equations: 0
% Current number of rules: 808
% New rule produced :
% [849]
% apply(X,apply(Y,apply(s,apply(k,X)))) <->
% apply(apply(apply(apply(s,s),k),apply(s,apply(k,X))),Y)
% Current number of equations to process: 2526
% Current number of ordered equations: 1
% Current number of rules: 809
% New rule produced :
% [850]
% apply(apply(apply(apply(s,s),k),apply(s,apply(k,X))),Y) <->
% apply(X,apply(Y,apply(s,apply(k,X))))
% Current number of equations to process: 2526
% Current number of ordered equations: 0
% Current number of rules: 810
% New rule produced :
% [851]
% apply(apply(X,X),apply(apply(s,i),i)) <->
% apply(apply(apply(apply(s,s),k),apply(apply(s,i),i)),X)
% Current number of equations to process: 2524
% Current number of ordered equations: 1
% Current number of rules: 811
% New rule produced :
% [852]
% apply(apply(apply(apply(s,s),k),apply(apply(s,i),i)),X) <->
% apply(apply(X,X),apply(apply(s,i),i))
% Current number of equations to process: 2524
% Current number of ordered equations: 0
% Current number of rules: 812
% New rule produced :
% [853]
% apply(X,apply(X,apply(apply(s,b),i))) <->
% apply(apply(apply(apply(s,s),k),apply(apply(s,b),i)),X)
% Current number of equations to process: 2523
% Current number of ordered equations: 1
% Current number of rules: 813
% New rule produced :
% [854]
% apply(apply(apply(apply(s,s),k),apply(apply(s,b),i)),X) <->
% apply(X,apply(X,apply(apply(s,b),i)))
% Current number of equations to process: 2523
% Current number of ordered equations: 0
% Current number of rules: 814
% New rule produced :
% [855]
% apply(apply(X,Y),apply(apply(Z,Y),Z)) <->
% apply(apply(apply(s,X),apply(apply(apply(s,s),k),Z)),Y)
% Current number of equations to process: 2521
% Current number of ordered equations: 3
% Current number of rules: 815
% New rule produced :
% [856]
% apply(apply(apply(X,Y),X),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(apply(s,s),k),X)),Z),Y)
% Current number of equations to process: 2521
% Current number of ordered equations: 2
% Current number of rules: 816
% New rule produced :
% [857]
% apply(apply(apply(s,apply(apply(apply(s,s),k),X)),Z),Y) <->
% apply(apply(apply(X,Y),X),apply(Z,Y))
% Current number of equations to process: 2521
% Current number of ordered equations: 1
% Current number of rules: 817
% New rule produced :
% [858]
% apply(apply(apply(s,X),apply(apply(apply(s,s),k),Z)),Y) <->
% apply(apply(X,Y),apply(apply(Z,Y),Z))
% Current number of equations to process: 2521
% Current number of ordered equations: 0
% Current number of rules: 818
% New rule produced :
% [859]
% apply(apply(X,Y),apply(apply(X,Y),X)) <->
% apply(apply(apply(apply(s,s),apply(apply(s,s),k)),X),Y)
% Current number of equations to process: 2520
% Current number of ordered equations: 1
% Current number of rules: 819
% New rule produced :
% [860]
% apply(apply(apply(apply(s,s),apply(apply(s,s),k)),X),Y) <->
% apply(apply(X,Y),apply(apply(X,Y),X))
% Current number of equations to process: 2520
% Current number of ordered equations: 0
% Current number of rules: 820
% New rule produced :
% [861]
% apply(apply(X,apply(apply(s,s),k)),X) <->
% apply(apply(apply(apply(s,s),k),apply(apply(s,s),k)),X)
% Current number of equations to process: 2519
% Current number of ordered equations: 1
% Current number of rules: 821
% New rule produced :
% [862]
% apply(apply(apply(apply(s,s),k),apply(apply(s,s),k)),X) <->
% apply(apply(X,apply(apply(s,s),k)),X)
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 822
% New rule produced :
% [863]
% apply(apply(apply(s,apply(apply(apply(s,b),V_3),apply(k,X))),Y),Z) ->
% apply(X,apply(Y,Z))
% Rule
% [691]
% apply(apply(apply(s,apply(apply(apply(s,b),Z),apply(k,X))),i),Y) ->
% apply(X,Y) collapsed.
% Current number of equations to process: 2510
% Current number of ordered equations: 1
% Current number of rules: 822
% New rule produced :
% [864]
% apply(apply(apply(s,X),apply(apply(apply(s,b),V_3),apply(k,Z))),Y) ->
% apply(apply(X,Y),Z)
% Rule
% [690]
% apply(apply(apply(s,i),apply(apply(apply(s,b),Z),apply(k,Y))),X) ->
% apply(X,Y) collapsed.
% Current number of equations to process: 2510
% Current number of ordered equations: 0
% Current number of rules: 822
% New rule produced :
% [865]
% apply(apply(apply(apply(s,b),X),apply(apply(apply(s,b),Y),apply(k,Z))),V_3)
% -> Z
% Current number of equations to process: 2509
% Current number of ordered equations: 0
% Current number of rules: 823
% New rule produced :
% [866]
% apply(apply(apply(s,i),i),apply(apply(apply(s,i),Y),X)) <->
% apply(apply(apply(s,X),X),apply(Y,X))
% Current number of equations to process: 2506
% Current number of ordered equations: 1
% Current number of rules: 824
% New rule produced :
% [867]
% apply(apply(apply(s,X),X),apply(Y,X)) <->
% apply(apply(apply(s,i),i),apply(apply(apply(s,i),Y),X))
% Current number of equations to process: 2506
% Current number of ordered equations: 0
% Current number of rules: 825
% New rule produced :
% [868]
% apply(apply(apply(s,apply(s,apply(apply(s,X),i))),i),Y) <->
% apply(apply(apply(X,Y),Y),apply(Y,Y))
% Current number of equations to process: 2505
% Current number of ordered equations: 1
% Current number of rules: 826
% New rule produced :
% [869]
% apply(apply(apply(X,Y),Y),apply(Y,Y)) <->
% apply(apply(apply(s,apply(s,apply(apply(s,X),i))),i),Y)
% Current number of equations to process: 2505
% Current number of ordered equations: 0
% Current number of rules: 827
% New rule produced :
% [870]
% apply(apply(apply(s,apply(s,apply(apply(s,i),Y))),i),X) <->
% apply(apply(X,apply(Y,X)),apply(X,X))
% Current number of equations to process: 2504
% Current number of ordered equations: 1
% Current number of rules: 828
% New rule produced :
% [871]
% apply(apply(X,apply(Y,X)),apply(X,X)) <->
% apply(apply(apply(s,apply(s,apply(apply(s,i),Y))),i),X)
% Current number of equations to process: 2504
% Current number of ordered equations: 0
% Current number of rules: 829
% New rule produced :
% [872]
% apply(apply(apply(s,apply(s,apply(apply(s,b),Y))),i),X) <->
% apply(X,apply(apply(Y,X),apply(X,X)))
% Current number of equations to process: 2503
% Current number of ordered equations: 1
% Current number of rules: 830
% New rule produced :
% [873]
% apply(X,apply(apply(Y,X),apply(X,X))) <->
% apply(apply(apply(s,apply(s,apply(apply(s,b),Y))),i),X)
% Current number of equations to process: 2503
% Current number of ordered equations: 0
% Current number of rules: 831
% New rule produced :
% [874]
% apply(apply(apply(s,i),apply(apply(s,apply(s,Y)),i)),X) <->
% apply(X,apply(apply(Y,X),apply(X,X)))
% Current number of equations to process: 2502
% Current number of ordered equations: 1
% Current number of rules: 832
% New rule produced :
% [875]
% apply(X,apply(apply(Y,X),apply(X,X))) <->
% apply(apply(apply(s,i),apply(apply(s,apply(s,Y)),i)),X)
% Current number of equations to process: 2502
% Current number of ordered equations: 0
% Current number of rules: 833
% New rule produced :
% [876]
% apply(apply(apply(X,Y),apply(Y,Y)),Y) <->
% apply(apply(apply(s,apply(apply(s,apply(s,X)),i)),i),Y)
% Current number of equations to process: 2501
% Current number of ordered equations: 1
% Current number of rules: 834
% New rule produced :
% [877]
% apply(apply(apply(s,apply(apply(s,apply(s,X)),i)),i),Y) <->
% apply(apply(apply(X,Y),apply(Y,Y)),Y)
% Current number of equations to process: 2501
% Current number of ordered equations: 0
% Current number of rules: 835
% New rule produced :
% [878]
% apply(X,apply(Y,X)) <->
% apply(apply(apply(s,i),apply(apply(apply(s,b),apply(s,k)),Y)),X)
% Current number of equations to process: 2497
% Current number of ordered equations: 1
% Current number of rules: 836
% New rule produced :
% [879]
% apply(apply(apply(s,i),apply(apply(apply(s,b),apply(s,k)),Y)),X) <->
% apply(X,apply(Y,X))
% Current number of equations to process: 2497
% Current number of ordered equations: 0
% Current number of rules: 837
% New rule produced :
% [880]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,apply(apply(apply(s,b),apply(s,k)),X)),i),Y)
% Current number of equations to process: 2496
% Current number of ordered equations: 1
% Current number of rules: 838
% New rule produced :
% [881]
% apply(apply(apply(s,apply(apply(apply(s,b),apply(s,k)),X)),i),Y) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 2496
% Current number of ordered equations: 0
% Current number of rules: 839
% New rule produced :
% [882]
% apply(X,apply(X,Y)) <->
% apply(apply(apply(apply(s,b),apply(apply(s,b),apply(s,k))),X),Y)
% Current number of equations to process: 2495
% Current number of ordered equations: 1
% Current number of rules: 840
% New rule produced :
% [883]
% apply(apply(apply(apply(s,b),apply(apply(s,b),apply(s,k))),X),Y) <->
% apply(X,apply(X,Y))
% Current number of equations to process: 2495
% Current number of ordered equations: 0
% Current number of rules: 841
% New rule produced :
% [884]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,apply(s,apply(apply(s,b),apply(s,k)))),i),X)
% Current number of equations to process: 2491
% Current number of ordered equations: 1
% Current number of rules: 842
% New rule produced :
% [885]
% apply(apply(apply(s,apply(s,apply(apply(s,b),apply(s,k)))),i),X) <->
% apply(X,apply(X,X))
% Current number of equations to process: 2491
% Current number of ordered equations: 0
% Current number of rules: 843
% New rule produced :
% [886]
% apply(X,apply(Y,X)) <->
% apply(apply(apply(s,i),apply(apply(s,apply(apply(b,k),Y)),Z)),X)
% Current number of equations to process: 2490
% Current number of ordered equations: 1
% Current number of rules: 844
% New rule produced :
% [887]
% apply(apply(apply(s,i),apply(apply(s,apply(apply(b,k),Y)),Z)),X) <->
% apply(X,apply(Y,X))
% Current number of equations to process: 2490
% Current number of ordered equations: 0
% Current number of rules: 845
% New rule produced :
% [888]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,apply(apply(s,apply(apply(b,k),X)),Z)),i),Y)
% Current number of equations to process: 2489
% Current number of ordered equations: 1
% Current number of rules: 846
% New rule produced :
% [889]
% apply(apply(apply(s,apply(apply(s,apply(apply(b,k),X)),Z)),i),Y) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 2489
% Current number of ordered equations: 0
% Current number of rules: 847
% New rule produced :
% [890]
% apply(apply(apply(apply(s,b),apply(s,apply(apply(b,k),Y))),X),Z) ->
% apply(X,apply(Y,Z))
% Current number of equations to process: 2488
% Current number of ordered equations: 0
% Current number of rules: 848
% New rule produced :
% [891]
% apply(X,apply(Y,Y)) <->
% apply(apply(apply(s,apply(s,apply(s,apply(apply(b,k),X)))),i),Y)
% Current number of equations to process: 2484
% Current number of ordered equations: 1
% Current number of rules: 849
% New rule produced :
% [892]
% apply(apply(apply(s,apply(s,apply(s,apply(apply(b,k),X)))),i),Y) <->
% apply(X,apply(Y,Y))
% Current number of equations to process: 2484
% Current number of ordered equations: 0
% Current number of rules: 850
% New rule produced :
% [893]
% apply(X,apply(apply(apply(s,X),i),X)) <->
% apply(X,apply(apply(apply(s,apply(apply(s,i),i)),i),X))
% Current number of equations to process: 2483
% Current number of ordered equations: 1
% Current number of rules: 851
% New rule produced :
% [894]
% apply(X,apply(apply(apply(s,apply(apply(s,i),i)),i),X)) <->
% apply(X,apply(apply(apply(s,X),i),X))
% Current number of equations to process: 2483
% Current number of ordered equations: 0
% Current number of rules: 852
% New rule produced :
% [895]
% apply(apply(apply(s,apply(apply(apply(s,i),i),X)),i),X) <->
% apply(apply(apply(apply(s,X),i),X),X)
% Current number of equations to process: 2482
% Current number of ordered equations: 1
% Current number of rules: 853
% New rule produced :
% [896]
% apply(apply(apply(apply(s,X),i),X),X) <->
% apply(apply(apply(s,apply(apply(apply(s,i),i),X)),i),X)
% Current number of equations to process: 2482
% Current number of ordered equations: 0
% Current number of rules: 854
% New rule produced :
% [897]
% apply(apply(apply(s,apply(X,X)),i),X) <->
% apply(apply(apply(apply(s,apply(apply(s,i),i)),i),X),X)
% Current number of equations to process: 2481
% Current number of ordered equations: 1
% Current number of rules: 855
% New rule produced :
% [898]
% apply(apply(apply(apply(s,apply(apply(s,i),i)),i),X),X) <->
% apply(apply(apply(s,apply(X,X)),i),X)
% Current number of equations to process: 2481
% Current number of ordered equations: 0
% Current number of rules: 856
% New rule produced :
% [899]
% apply(X,apply(Y,X)) <->
% apply(apply(apply(s,i),apply(apply(b,Y),apply(apply(s,k),Z))),X)
% Current number of equations to process: 2457
% Current number of ordered equations: 3
% Current number of rules: 857
% New rule produced :
% [900]
% apply(X,apply(Y,X)) <->
% apply(apply(apply(s,i),apply(apply(b,apply(apply(s,k),Z)),Y)),X)
% Current number of equations to process: 2457
% Current number of ordered equations: 2
% Current number of rules: 858
% New rule produced :
% [901]
% apply(apply(apply(s,i),apply(apply(b,Y),apply(apply(s,k),Z))),X) <->
% apply(X,apply(Y,X))
% Current number of equations to process: 2457
% Current number of ordered equations: 1
% Current number of rules: 859
% New rule produced :
% [902]
% apply(apply(apply(s,i),apply(apply(b,apply(apply(s,k),Z)),Y)),X) <->
% apply(X,apply(Y,X))
% Current number of equations to process: 2457
% Current number of ordered equations: 0
% Current number of rules: 860
% New rule produced :
% [903]
% (eq)(apply(apply(X,apply(Y,Z)),apply(apply(apply(s,i),apply(apply(b,X),Y)),Z)),
% apply(combinator,apply(apply(apply(s,i),Z),apply(X,apply(Y,Z))))) -> (false)
% Current number of equations to process: 2516
% Current number of ordered equations: 0
% Current number of rules: 861
% New rule produced :
% [904]
% apply(X,X) <->
% apply(apply(apply(s,i),apply(apply(b,apply(apply(s,i),Y)),k)),X)
% Current number of equations to process: 2573
% Current number of ordered equations: 1
% Current number of rules: 862
% New rule produced :
% [905]
% apply(apply(apply(s,i),apply(apply(b,apply(apply(s,i),Y)),k)),X) <->
% apply(X,X)
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 863
% New rule produced :
% [906]
% apply(X,apply(apply(apply(apply(s,b),i),Y),X)) <->
% apply(apply(apply(s,i),apply(apply(b,Y),Y)),X)
% Current number of equations to process: 2572
% Current number of ordered equations: 1
% Current number of rules: 864
% New rule produced :
% [907]
% apply(apply(apply(s,i),apply(apply(b,Y),Y)),X) <->
% apply(X,apply(apply(apply(apply(s,b),i),Y),X))
% Current number of equations to process: 2572
% Current number of ordered equations: 0
% Current number of rules: 865
% New rule produced :
% [908]
% (eq)(apply(X,apply(X,apply(Y,apply(Z,X)))),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(s,i),
% apply(
% apply(b,Y),Z))),X)))
% -> (false)
% Current number of equations to process: 2590
% Current number of ordered equations: 0
% Current number of rules: 866
% New rule produced :
% [909] apply(apply(X,Y),Y) <-> apply(apply(apply(s,apply(apply(b,i),X)),i),Y)
% Current number of equations to process: 2668
% Current number of ordered equations: 1
% Current number of rules: 867
% New rule produced :
% [910] apply(apply(apply(s,apply(apply(b,i),X)),i),Y) <-> apply(apply(X,Y),Y)
% Current number of equations to process: 2668
% Current number of ordered equations: 0
% Current number of rules: 868
% New rule produced :
% [911]
% apply(X,apply(X,Y)) <->
% apply(apply(apply(apply(s,apply(apply(b,s),k)),i),X),Y)
% Current number of equations to process: 2714
% Current number of ordered equations: 1
% Current number of rules: 869
% New rule produced :
% [912]
% apply(apply(apply(apply(s,apply(apply(b,s),k)),i),X),Y) <->
% apply(X,apply(X,Y))
% Current number of equations to process: 2714
% Current number of ordered equations: 0
% Current number of rules: 870
% New rule produced :
% [913]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,apply(apply(b,apply(s,X)),k)),i),Y)
% Current number of equations to process: 2713
% Current number of ordered equations: 1
% Current number of rules: 871
% New rule produced :
% [914]
% apply(apply(apply(s,apply(apply(b,apply(s,X)),k)),i),Y) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 872
% New rule produced :
% [915]
% apply(apply(apply(apply(s,apply(apply(b,b),X)),i),Y),Z) <->
% apply(apply(X,Y),apply(Y,Z))
% Current number of equations to process: 2730
% Current number of ordered equations: 3
% Current number of rules: 873
% New rule produced :
% [916]
% apply(X,apply(apply(Y,Z),Z)) <->
% apply(apply(apply(s,apply(apply(b,apply(b,X)),Y)),i),Z)
% Current number of equations to process: 2730
% Current number of ordered equations: 2
% Current number of rules: 874
% New rule produced :
% [917]
% apply(apply(X,Y),apply(Y,Z)) <->
% apply(apply(apply(apply(s,apply(apply(b,b),X)),i),Y),Z)
% Current number of equations to process: 2730
% Current number of ordered equations: 1
% Current number of rules: 875
% New rule produced :
% [918]
% apply(apply(apply(s,apply(apply(b,apply(b,X)),Y)),i),Z) <->
% apply(X,apply(apply(Y,Z),Z))
% Current number of equations to process: 2730
% Current number of ordered equations: 0
% Current number of rules: 876
% New rule produced :
% [919]
% apply(X,apply(apply(Y,X),X)) <->
% apply(apply(apply(s,apply(apply(b,apply(s,i)),Y)),i),X)
% Current number of equations to process: 2729
% Current number of ordered equations: 1
% Current number of rules: 877
% New rule produced :
% [920]
% apply(apply(apply(s,apply(apply(b,apply(s,i)),Y)),i),X) <->
% apply(X,apply(apply(Y,X),X))
% Current number of equations to process: 2729
% Current number of ordered equations: 0
% Current number of rules: 878
% New rule produced :
% [921]
% apply(apply(X,Y),apply(apply(Z,Y),Y)) <->
% apply(apply(apply(s,apply(apply(b,apply(s,X)),Z)),i),Y)
% Current number of equations to process: 2727
% Current number of ordered equations: 3
% Current number of rules: 879
% New rule produced :
% [922]
% apply(apply(apply(X,Y),Z),apply(Y,Z)) <->
% apply(apply(apply(apply(s,apply(apply(b,s),X)),i),Y),Z)
% Current number of equations to process: 2727
% Current number of ordered equations: 2
% Current number of rules: 880
% New rule produced :
% [923]
% apply(apply(apply(s,apply(apply(b,apply(s,X)),Z)),i),Y) <->
% apply(apply(X,Y),apply(apply(Z,Y),Y))
% Current number of equations to process: 2727
% Current number of ordered equations: 1
% Current number of rules: 881
% New rule produced :
% [924]
% apply(apply(apply(apply(s,apply(apply(b,s),X)),i),Y),Z) <->
% apply(apply(apply(X,Y),Z),apply(Y,Z))
% Current number of equations to process: 2727
% Current number of ordered equations: 0
% Current number of rules: 882
% New rule produced :
% [925]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,apply(apply(b,X),apply(apply(s,k),Z))),i),Y)
% Current number of equations to process: 2725
% Current number of ordered equations: 3
% Current number of rules: 883
% New rule produced :
% [926]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,apply(apply(b,apply(apply(s,k),Z)),X)),i),Y)
% Current number of equations to process: 2725
% Current number of ordered equations: 2
% Current number of rules: 884
% New rule produced :
% [927]
% apply(apply(apply(s,apply(apply(b,X),apply(apply(s,k),Z))),i),Y) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 2725
% Current number of ordered equations: 1
% Current number of rules: 885
% New rule produced :
% [928]
% apply(apply(apply(s,apply(apply(b,apply(apply(s,k),Z)),X)),i),Y) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 2725
% Current number of ordered equations: 0
% Current number of rules: 886
% New rule produced :
% [929]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,apply(apply(b,apply(s,apply(s,k))),X)),i),Y)
% Current number of equations to process: 2724
% Current number of ordered equations: 1
% Current number of rules: 887
% New rule produced :
% [930]
% apply(apply(apply(s,apply(apply(b,apply(s,apply(s,k))),X)),i),Y) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 2724
% Current number of ordered equations: 0
% Current number of rules: 888
% New rule produced :
% [931]
% (eq)(apply(X,apply(apply(apply(s,apply(apply(b,Y),Z)),i),X)),apply(combinator,
% apply(apply(
% apply(s,i),
% apply(Y,
% apply(Z,X))),X)))
% -> (false)
% Current number of equations to process: 2780
% Current number of ordered equations: 0
% Current number of rules: 889
% New rule produced :
% [932] apply(apply(apply(s,apply(apply(b,apply(s,i)),Y)),i),apply(k,X)) -> X
% Current number of equations to process: 2835
% Current number of ordered equations: 0
% Current number of rules: 890
% New rule produced :
% [933]
% apply(apply(apply(s,apply(apply(b,apply(apply(s,i),Y)),k)),i),X) <->
% apply(X,X)
% Current number of equations to process: 2842
% Current number of ordered equations: 1
% Current number of rules: 891
% New rule produced :
% [934]
% apply(X,X) <->
% apply(apply(apply(s,apply(apply(b,apply(apply(s,i),Y)),k)),i),X)
% Current number of equations to process: 2842
% Current number of ordered equations: 0
% Current number of rules: 892
% New rule produced :
% [935]
% apply(apply(apply(apply(apply(s,b),i),X),Y),Y) <->
% apply(apply(apply(s,apply(apply(b,X),X)),i),Y)
% Current number of equations to process: 2841
% Current number of ordered equations: 1
% Current number of rules: 893
% New rule produced :
% [936]
% apply(apply(apply(s,apply(apply(b,X),X)),i),Y) <->
% apply(apply(apply(apply(apply(s,b),i),X),Y),Y)
% Current number of equations to process: 2841
% Current number of ordered equations: 0
% Current number of rules: 894
% New rule produced :
% [937]
% apply(apply(apply(apply(s,apply(apply(b,apply(s,b)),X)),i),apply(k,Y)),Z) ->
% Y
% Current number of equations to process: 2840
% Current number of ordered equations: 0
% Current number of rules: 895
% New rule produced :
% [938]
% apply(X,apply(apply(apply(s,Y),i),X)) <->
% apply(apply(apply(s,apply(apply(b,apply(s,i)),Y)),i),X)
% Current number of equations to process: 2839
% Current number of ordered equations: 1
% Current number of rules: 896
% New rule produced :
% [939]
% apply(apply(apply(s,apply(apply(b,apply(s,i)),Y)),i),X) <->
% apply(X,apply(apply(apply(s,Y),i),X))
% Current number of equations to process: 2839
% Current number of ordered equations: 0
% Current number of rules: 897
% New rule produced :
% [940]
% apply(apply(apply(apply(s,apply(apply(b,s),b)),i),X),Y) <->
% apply(X,apply(apply(apply(s,i),X),Y))
% Current number of equations to process: 2838
% Current number of ordered equations: 1
% Current number of rules: 898
% New rule produced :
% [941]
% apply(X,apply(apply(apply(s,i),X),Y)) <->
% apply(apply(apply(apply(s,apply(apply(b,s),b)),i),X),Y)
% Current number of equations to process: 2838
% Current number of ordered equations: 0
% Current number of rules: 899
% New rule produced :
% [942]
% (eq)(apply(X,apply(apply(Y,apply(Z,X)),X)),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(s,
% apply(
% apply(b,Y),Z)),i)),X)))
% -> (false)
% Current number of equations to process: 2856
% Current number of ordered equations: 0
% Current number of rules: 900
% New rule produced :
% [943] apply(X,X) <-> apply(apply(apply(s,i),apply(apply(s,apply(s,k)),i)),X)
% Current number of equations to process: 2896
% Current number of ordered equations: 1
% Current number of rules: 901
% New rule produced :
% [944] apply(apply(apply(s,i),apply(apply(s,apply(s,k)),i)),X) <-> apply(X,X)
% Current number of equations to process: 2896
% Current number of ordered equations: 0
% Current number of rules: 902
% New rule produced :
% [945]
% apply(X,apply(Y,X)) <->
% apply(apply(apply(s,i),apply(apply(s,apply(k,Y)),i)),X)
% Current number of equations to process: 2924
% Current number of ordered equations: 1
% Current number of rules: 903
% New rule produced :
% [946]
% apply(apply(apply(s,i),apply(apply(s,apply(k,Y)),i)),X) <->
% apply(X,apply(Y,X))
% Current number of equations to process: 2924
% Current number of ordered equations: 0
% Current number of rules: 904
% New rule produced :
% [947]
% apply(X,apply(Y,apply(X,X))) <->
% apply(apply(apply(s,i),apply(apply(s,apply(b,Y)),i)),X)
% Current number of equations to process: 2937
% Current number of ordered equations: 1
% Current number of rules: 905
% New rule produced :
% [948]
% apply(apply(apply(s,i),apply(apply(s,apply(b,Y)),i)),X) <->
% apply(X,apply(Y,apply(X,X)))
% Current number of equations to process: 2937
% Current number of ordered equations: 0
% Current number of rules: 906
% New rule produced :
% [949]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,i),apply(apply(s,apply(apply(s,k),Y)),i)),X)
% Current number of equations to process: 2936
% Current number of ordered equations: 1
% Current number of rules: 907
% New rule produced :
% [950]
% apply(apply(apply(s,i),apply(apply(s,apply(apply(s,k),Y)),i)),X) <->
% apply(X,apply(X,X))
% Current number of equations to process: 2936
% Current number of ordered equations: 0
% Current number of rules: 908
% New rule produced :
% [951]
% apply(apply(apply(s,i),apply(apply(s,apply(s,apply(s,k))),i)),X) <->
% apply(X,apply(X,X))
% Current number of equations to process: 2935
% Current number of ordered equations: 1
% Current number of rules: 909
% New rule produced :
% [952]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,i),apply(apply(s,apply(s,apply(s,k))),i)),X)
% Current number of equations to process: 2935
% Current number of ordered equations: 0
% Current number of rules: 910
% New rule produced :
% [953]
% (eq)(apply(apply(apply(X,Y),Y),apply(apply(apply(s,i),apply(apply(s,X),i)),Y)),
% apply(combinator,apply(apply(apply(s,i),Y),apply(apply(X,Y),Y)))) -> (false)
% Current number of equations to process: 2965
% Current number of ordered equations: 0
% Current number of rules: 911
% New rule produced :
% [954]
% (eq)(apply(X,apply(apply(apply(s,Y),i),X)),apply(combinator,apply(X,apply(
% apply(Y,X),X))))
% -> (false)
% Current number of equations to process: 3031
% Current number of ordered equations: 0
% Current number of rules: 912
% New rule produced :
% [955]
% (eq)(apply(X,apply(X,apply(apply(Y,X),X))),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(s,i),
% apply(
% apply(s,Y),i))),X)))
% -> (false)
% Current number of equations to process: 3030
% Current number of ordered equations: 0
% Current number of rules: 913
% New rule produced :
% [956]
% apply(apply(X,X),apply(X,X)) <->
% apply(apply(apply(s,apply(apply(s,s),i)),i),X)
% Current number of equations to process: 3062
% Current number of ordered equations: 1
% Current number of rules: 914
% New rule produced :
% [957]
% apply(apply(apply(s,apply(apply(s,s),i)),i),X) <->
% apply(apply(X,X),apply(X,X))
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 915
% New rule produced :
% [958] apply(X,X) <-> apply(apply(apply(s,apply(apply(s,apply(s,k)),i)),i),X)
% Current number of equations to process: 3061
% Current number of ordered equations: 1
% Current number of rules: 916
% New rule produced :
% [959] apply(apply(apply(s,apply(apply(s,apply(s,k)),i)),i),X) <-> apply(X,X)
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 917
% New rule produced :
% [960] apply(X,X) <-> apply(apply(apply(s,apply(apply(s,s),i)),i),apply(k,X))
% Current number of equations to process: 3060
% Current number of ordered equations: 1
% Current number of rules: 918
% New rule produced :
% [961] apply(apply(apply(s,apply(apply(s,s),i)),i),apply(k,X)) <-> apply(X,X)
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 919
% New rule produced :
% [962]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,apply(apply(s,apply(k,X)),i)),i),Y)
% Current number of equations to process: 3088
% Current number of ordered equations: 1
% Current number of rules: 920
% New rule produced :
% [963]
% apply(apply(apply(s,apply(apply(s,apply(k,X)),i)),i),Y) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 3088
% Current number of ordered equations: 0
% Current number of rules: 921
% New rule produced :
% [964]
% apply(X,apply(apply(X,X),X)) <->
% apply(apply(apply(s,apply(apply(s,apply(s,b)),i)),i),X)
% Current number of equations to process: 3098
% Current number of ordered equations: 1
% Current number of rules: 922
% New rule produced :
% [965]
% apply(apply(apply(s,apply(apply(s,apply(s,b)),i)),i),X) <->
% apply(X,apply(apply(X,X),X))
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 923
% New rule produced :
% [966]
% apply(apply(X,apply(Y,Y)),Y) <->
% apply(apply(apply(s,apply(apply(s,apply(b,X)),i)),i),Y)
% Current number of equations to process: 3097
% Current number of ordered equations: 1
% Current number of rules: 924
% New rule produced :
% [967]
% apply(apply(apply(s,apply(apply(s,apply(b,X)),i)),i),Y) <->
% apply(apply(X,apply(Y,Y)),Y)
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 925
% New rule produced :
% [968]
% apply(apply(X,X),X) <->
% apply(apply(apply(s,apply(apply(s,apply(apply(s,k),Y)),i)),i),X)
% Current number of equations to process: 3096
% Current number of ordered equations: 1
% Current number of rules: 926
% New rule produced :
% [969]
% apply(apply(apply(s,apply(apply(s,apply(apply(s,k),Y)),i)),i),X) <->
% apply(apply(X,X),X)
% Current number of equations to process: 3096
% Current number of ordered equations: 0
% Current number of rules: 927
% New rule produced :
% [970]
% apply(apply(apply(s,apply(apply(s,apply(s,s)),i)),i),X) <->
% apply(apply(X,X),apply(apply(X,X),X))
% Current number of equations to process: 3095
% Current number of ordered equations: 1
% Current number of rules: 928
% New rule produced :
% [971]
% apply(apply(X,X),apply(apply(X,X),X)) <->
% apply(apply(apply(s,apply(apply(s,apply(s,s)),i)),i),X)
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 929
% New rule produced :
% [972]
% apply(apply(apply(s,apply(apply(s,apply(s,apply(s,k))),i)),i),X) <->
% apply(apply(X,X),X)
% Current number of equations to process: 3094
% Current number of ordered equations: 1
% Current number of rules: 930
% New rule produced :
% [973]
% apply(apply(X,X),X) <->
% apply(apply(apply(s,apply(apply(s,apply(s,apply(s,k))),i)),i),X)
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 931
% New rule produced :
% [974]
% apply(X,apply(apply(apply(s,X),i),X)) <->
% apply(apply(apply(s,apply(apply(s,apply(s,b)),i)),i),X)
% Current number of equations to process: 3181
% Current number of ordered equations: 1
% Current number of rules: 932
% New rule produced :
% [975]
% apply(apply(apply(s,apply(apply(s,apply(s,b)),i)),i),X) <->
% apply(X,apply(apply(apply(s,X),i),X))
% Current number of equations to process: 3181
% Current number of ordered equations: 0
% Current number of rules: 933
% New rule produced :
% [976]
% (eq)(apply(X,apply(apply(apply(Y,X),X),X)),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(s,
% apply(
% apply(s,Y),i)),i)),X)))
% -> (false)
% Current number of equations to process: 3193
% Current number of ordered equations: 0
% Current number of rules: 934
% New rule produced :
% [977]
% apply(X,apply(X,Y)) <->
% apply(apply(apply(s,i),apply(apply(s,i),apply(k,Y))),X)
% Current number of equations to process: 3253
% Current number of ordered equations: 1
% Current number of rules: 935
% New rule produced :
% [978]
% apply(apply(apply(s,i),apply(apply(s,i),apply(k,Y))),X) <->
% apply(X,apply(X,Y))
% Current number of equations to process: 3253
% Current number of ordered equations: 0
% Current number of rules: 936
% New rule produced :
% [979]
% apply(apply(apply(apply(X,Y),Y),Y),Y) <->
% apply(apply(apply(s,apply(apply(apply(s,X),i),Y)),i),Y)
% Current number of equations to process: 3264
% Current number of ordered equations: 1
% Current number of rules: 937
% New rule produced :
% [980]
% apply(apply(apply(s,apply(apply(apply(s,X),i),Y)),i),Y) <->
% apply(apply(apply(apply(X,Y),Y),Y),Y)
% Current number of equations to process: 3264
% Current number of ordered equations: 0
% Current number of rules: 938
% New rule produced :
% [981]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,i),apply(apply(s,i),apply(apply(s,k),Y))),X)
% Current number of equations to process: 3263
% Current number of ordered equations: 1
% Current number of rules: 939
% New rule produced :
% [982]
% apply(apply(apply(s,i),apply(apply(s,i),apply(apply(s,k),Y))),X) <->
% apply(X,apply(X,X))
% Current number of equations to process: 3263
% Current number of ordered equations: 0
% Current number of rules: 940
% New rule produced :
% [983]
% (eq)(apply(apply(X,apply(Y,X)),apply(apply(apply(s,i),apply(apply(s,i),Y)),X)),
% apply(combinator,apply(apply(apply(s,i),X),apply(X,apply(Y,X))))) -> (false)
% Current number of equations to process: 3286
% Current number of ordered equations: 0
% Current number of rules: 941
% New rule produced :
% [984]
% (eq)(apply(X,apply(apply(apply(s,i),Y),X)),apply(combinator,apply(X,apply(X,
% apply(Y,X)))))
% -> (false)
% Current number of equations to process: 3367
% Current number of ordered equations: 0
% Current number of rules: 942
% New rule produced :
% [985]
% (eq)(apply(X,apply(X,apply(X,apply(Y,X)))),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(s,i),
% apply(
% apply(s,i),Y))),X)))
% -> (false)
% Current number of equations to process: 3366
% Current number of ordered equations: 0
% Current number of rules: 943
% New rule produced :
% [986]
% apply(apply(X,Y),X) <->
% apply(apply(apply(s,apply(apply(s,i),apply(k,Y))),i),X)
% Current number of equations to process: 3430
% Current number of ordered equations: 1
% Current number of rules: 944
% New rule produced :
% [987]
% apply(apply(apply(s,apply(apply(s,i),apply(k,Y))),i),X) <->
% apply(apply(X,Y),X)
% Current number of equations to process: 3430
% Current number of ordered equations: 0
% Current number of rules: 945
% New rule produced :
% [988]
% apply(apply(X,X),X) <->
% apply(apply(apply(s,apply(apply(s,i),apply(apply(s,k),Y))),i),X)
% Current number of equations to process: 3440
% Current number of ordered equations: 1
% Current number of rules: 946
% New rule produced :
% [989]
% apply(apply(apply(s,apply(apply(s,i),apply(apply(s,k),Y))),i),X) <->
% apply(apply(X,X),X)
% Current number of equations to process: 3440
% Current number of ordered equations: 0
% Current number of rules: 947
% New rule produced :
% [990]
% apply(apply(X,apply(s,X)),apply(s,X)) <->
% apply(apply(apply(s,apply(apply(s,i),k)),i),apply(s,X))
% Current number of equations to process: 3439
% Current number of ordered equations: 1
% Current number of rules: 948
% New rule produced :
% [991]
% apply(apply(apply(s,apply(apply(s,i),k)),i),apply(s,X)) <->
% apply(apply(X,apply(s,X)),apply(s,X))
% Current number of equations to process: 3439
% Current number of ordered equations: 0
% Current number of rules: 949
% New rule produced :
% [992]
% (eq)(apply(X,apply(apply(apply(s,apply(apply(s,i),Y)),i),X)),apply(combinator,
% apply(apply(
% apply(s,i),
% apply(X,
% apply(Y,X))),X)))
% -> (false)
% Current number of equations to process: 3463
% Current number of ordered equations: 0
% Current number of rules: 950
% New rule produced :
% [993]
% (eq)(apply(X,apply(apply(X,apply(Y,X)),X)),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(s,
% apply(
% apply(s,i),Y)),i)),X)))
% -> (false)
% Current number of equations to process: 3533
% Current number of ordered equations: 0
% Current number of rules: 951
% New rule produced :
% [994]
% (eq)(apply(X,apply(Y,X)),apply(apply(apply(s,apply(s,apply(k,combinator))),Y),X))
% -> (false)
% Current number of equations to process: 3557
% Current number of ordered equations: 0
% Current number of rules: 952
% New rule produced :
% [995] apply(apply(apply(s,apply(s,apply(k,i))),Y),X) <-> apply(X,apply(Y,X))
% Current number of equations to process: 3599
% Current number of ordered equations: 1
% Current number of rules: 953
% New rule produced :
% [996] apply(X,apply(Y,X)) <-> apply(apply(apply(s,apply(s,apply(k,i))),Y),X)
% Current number of equations to process: 3599
% Current number of ordered equations: 0
% Current number of rules: 954
% New rule produced :
% [997] apply(apply(apply(s,apply(s,apply(k,apply(k,X)))),Y),Z) -> X
% Current number of equations to process: 3598
% Current number of ordered equations: 0
% Current number of rules: 955
% New rule produced :
% [998] apply(apply(apply(s,apply(s,apply(k,X))),Z),apply(k,Y)) -> apply(X,Y)
% Current number of equations to process: 3606
% Current number of ordered equations: 0
% Current number of rules: 956
% New rule produced :
% [999]
% apply(apply(apply(s,apply(s,apply(k,X))),Y),Y) ->
% apply(X,apply(apply(apply(s,i),Y),Y))
% Current number of equations to process: 3652
% Current number of ordered equations: 0
% Current number of rules: 957
% Rule [996]
% apply(X,apply(Y,X)) <-> apply(apply(apply(s,apply(s,apply(k,i))),Y),X) is composed into
% [996] apply(X,apply(Y,X)) <-> apply(i,apply(apply(apply(s,i),Y),X))
% Rule [560]
% apply(X,apply(Y,apply(apply(Z,Y),apply(V_3,Y)))) <->
% apply(apply(apply(s,apply(s,apply(k,X))),apply(apply(s,Z),V_3)),Y) is composed into
% [560]
% apply(X,apply(Y,apply(apply(Z,Y),apply(V_3,Y)))) <->
% apply(X,apply(apply(apply(s,i),apply(apply(s,Z),V_3)),Y))
% Rule [441]
% apply(X,apply(Y,apply(Z,apply(V_3,Y)))) <->
% apply(apply(apply(s,apply(s,apply(k,X))),apply(apply(b,Z),V_3)),Y) is composed into
% [441]
% apply(X,apply(Y,apply(Z,apply(V_3,Y)))) <->
% apply(X,apply(apply(apply(s,i),apply(apply(b,Z),V_3)),Y))
% Rule [99]
% apply(X,apply(Z,apply(Y,Z))) <->
% apply(apply(apply(s,apply(s,apply(k,X))),Y),Z) is composed into
% [99] apply(X,apply(Z,apply(Y,Z))) <-> apply(X,apply(apply(apply(s,i),Y),Z))
% New rule produced :
% [1000]
% apply(apply(apply(s,apply(s,apply(k,X))),Y),Z) ->
% apply(X,apply(apply(apply(s,i),Y),Z))
% Rule
% [100]
% apply(apply(apply(s,apply(s,apply(k,X))),Y),Z) <->
% apply(X,apply(Z,apply(Y,Z))) collapsed.
% Rule
% [442]
% apply(apply(apply(s,apply(s,apply(k,X))),apply(apply(b,Z),V_3)),Y) <->
% apply(X,apply(Y,apply(Z,apply(V_3,Y)))) collapsed.
% Rule
% [563]
% apply(apply(apply(s,apply(s,apply(k,X))),apply(apply(s,Z),V_3)),Y) <->
% apply(X,apply(Y,apply(apply(Z,Y),apply(V_3,Y)))) collapsed.
% Rule
% [751]
% apply(apply(apply(s,apply(s,apply(k,X))),i),Y) ->
% apply(X,apply(apply(apply(s,i),i),Y)) collapsed.
% Rule
% [994]
% (eq)(apply(X,apply(Y,X)),apply(apply(apply(s,apply(s,apply(k,combinator))),Y),X))
% -> (false) collapsed.
% Rule
% [995] apply(apply(apply(s,apply(s,apply(k,i))),Y),X) <-> apply(X,apply(Y,X))
% collapsed.
% Rule [997] apply(apply(apply(s,apply(s,apply(k,apply(k,X)))),Y),Z) -> X
% collapsed.
% Rule
% [998] apply(apply(apply(s,apply(s,apply(k,X))),Z),apply(k,Y)) -> apply(X,Y)
% collapsed.
% Rule
% [999]
% apply(apply(apply(s,apply(s,apply(k,X))),Y),Y) ->
% apply(X,apply(apply(apply(s,i),Y),Y)) collapsed.
% Current number of equations to process: 3651
% Current number of ordered equations: 0
% Current number of rules: 949
% New rule produced :
% [1001]
% apply(apply(apply(apply(s,i),k),apply(s,X)),X) ->
% apply(apply(apply(s,X),s),X)
% Current number of equations to process: 3760
% Current number of ordered equations: 0
% Current number of rules: 950
% New rule produced :
% [1002]
% apply(X,apply(s,apply(k,X))) <->
% apply(apply(apply(apply(s,i),k),apply(s,apply(k,X))),Y)
% Current number of equations to process: 3796
% Current number of ordered equations: 1
% Current number of rules: 951
% New rule produced :
% [1003]
% apply(apply(apply(apply(s,i),k),apply(s,apply(k,X))),Y) <->
% apply(X,apply(s,apply(k,X)))
% Current number of equations to process: 3796
% Current number of ordered equations: 0
% Current number of rules: 952
% New rule produced :
% [1004]
% apply(X,apply(Y,apply(s,apply(b,X)))) <->
% apply(apply(apply(apply(s,i),k),apply(s,apply(b,X))),Y)
% Current number of equations to process: 3795
% Current number of ordered equations: 1
% Current number of rules: 953
% New rule produced :
% [1005]
% apply(apply(apply(apply(s,i),k),apply(s,apply(b,X))),Y) <->
% apply(X,apply(Y,apply(s,apply(b,X))))
% Current number of equations to process: 3795
% Current number of ordered equations: 0
% Current number of rules: 954
% New rule produced :
% [1006]
% apply(apply(apply(apply(s,i),k),apply(s,X)),apply(s,X)) ->
% apply(apply(apply(s,X),i),apply(s,X))
% Current number of equations to process: 3794
% Current number of ordered equations: 0
% Current number of rules: 955
% New rule produced :
% [1007]
% (eq)(apply(apply(s,X),apply(apply(apply(apply(s,i),k),apply(s,X)),Y)),
% apply(combinator,apply(apply(apply(s,i),apply(X,Y)),apply(s,X)))) -> (false)
% Current number of equations to process: 3835
% Current number of ordered equations: 0
% Current number of rules: 956
% New rule produced :
% [1008]
% apply(apply(apply(apply(s,i),k),apply(s,apply(apply(s,b),Y))),apply(k,X)) ->
% X
% Current number of equations to process: 3910
% Current number of ordered equations: 0
% Current number of rules: 957
% New rule produced :
% [1009]
% (eq)(apply(X,apply(apply(Y,X),apply(s,Y))),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(
% apply(s,i),k),
% apply(s,Y))),X)))
% -> (false)
% Current number of equations to process: 3928
% Current number of ordered equations: 0
% Current number of rules: 958
% New rule produced :
% [1010] apply(apply(apply(s,apply(s,apply(s,k))),i),apply(k,X)) -> X
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 959
% New rule produced :
% [1011] apply(apply(apply(s,apply(s,apply(b,X))),i),apply(k,Y)) -> apply(X,Y)
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 960
% New rule produced :
% [1012] apply(X,X) <-> apply(apply(apply(s,apply(s,apply(s,i))),i),apply(k,X))
% Current number of equations to process: 4015
% Current number of ordered equations: 1
% Current number of rules: 961
% New rule produced :
% [1013] apply(apply(apply(s,apply(s,apply(s,i))),i),apply(k,X)) <-> apply(X,X)
% Current number of equations to process: 4015
% Current number of ordered equations: 0
% Current number of rules: 962
% New rule produced :
% [1014]
% apply(apply(apply(s,apply(s,apply(s,X))),i),apply(k,Y)) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 4044
% Current number of ordered equations: 1
% Current number of rules: 963
% New rule produced :
% [1015]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,apply(s,apply(s,X))),i),apply(k,Y))
% Current number of equations to process: 4044
% Current number of ordered equations: 0
% Current number of rules: 964
% New rule produced :
% [1016]
% apply(X,apply(X,Y)) <->
% apply(apply(apply(apply(s,apply(s,s)),i),apply(k,X)),Y)
% Current number of equations to process: 4041
% Current number of ordered equations: 1
% Current number of rules: 965
% New rule produced :
% [1017]
% apply(apply(apply(apply(s,apply(s,s)),i),apply(k,X)),Y) <->
% apply(X,apply(X,Y))
% Current number of equations to process: 4041
% Current number of ordered equations: 0
% Current number of rules: 966
% New rule produced :
% [1018] apply(apply(apply(s,apply(s,apply(apply(s,b),Y))),i),apply(k,X)) -> X
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 967
% New rule produced :
% [1019]
% apply(apply(apply(s,apply(s,X)),i),apply(k,X)) ->
% apply(apply(apply(apply(s,i),k),X),X)
% Current number of equations to process: 4039
% Current number of ordered equations: 0
% Current number of rules: 968
% New rule produced :
% [1020] apply(apply(apply(s,apply(s,apply(apply(s,k),Y))),i),apply(k,X)) -> X
% Current number of equations to process: 4038
% Current number of ordered equations: 0
% Current number of rules: 969
% New rule produced :
% [1021] apply(apply(apply(apply(s,apply(s,s)),i),apply(k,apply(k,X))),Y) -> X
% Current number of equations to process: 4034
% Current number of ordered equations: 0
% Current number of rules: 970
% New rule produced :
% [1022] apply(apply(apply(s,apply(s,apply(s,apply(s,k)))),i),apply(k,X)) -> X
% Current number of equations to process: 4043
% Current number of ordered equations: 0
% Current number of rules: 971
% New rule produced :
% [1023]
% apply(apply(apply(s,apply(s,apply(apply(s,i),Y))),i),apply(k,X)) <->
% apply(X,X)
% Current number of equations to process: 4042
% Current number of ordered equations: 1
% Current number of rules: 972
% New rule produced :
% [1024]
% apply(X,X) <->
% apply(apply(apply(s,apply(s,apply(apply(s,i),Y))),i),apply(k,X))
% Current number of equations to process: 4042
% Current number of ordered equations: 0
% Current number of rules: 973
% New rule produced :
% [1025]
% apply(apply(apply(s,apply(s,apply(s,apply(k,X)))),i),apply(k,Y)) ->
% apply(X,Y)
% Current number of equations to process: 4041
% Current number of ordered equations: 0
% Current number of rules: 974
% New rule produced :
% [1026]
% apply(apply(apply(s,apply(s,apply(X,Y))),i),apply(k,Y)) ->
% apply(apply(apply(apply(s,X),k),Y),Y)
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 975
% New rule produced :
% [1027]
% (eq)(apply(X,apply(apply(apply(s,apply(s,Y)),i),apply(k,X))),apply(combinator,
% apply(apply(
% apply(s,i),
% apply(Y,
% apply(k,X))),X)))
% -> (false)
% Current number of equations to process: 4067
% Current number of ordered equations: 0
% Current number of rules: 976
% New rule produced :
% [1028] apply(X,apply(X,Y)) <-> apply(apply(apply(apply(s,b),apply(b,i)),X),Y)
% Current number of equations to process: 4134
% Current number of ordered equations: 1
% Current number of rules: 977
% New rule produced :
% [1029] apply(apply(apply(apply(s,b),apply(b,i)),X),Y) <-> apply(X,apply(X,Y))
% Current number of equations to process: 4134
% Current number of ordered equations: 0
% Current number of rules: 978
% New rule produced :
% [1030] apply(X,X) <-> apply(apply(apply(s,i),apply(apply(s,apply(k,i)),i)),X)
% Current number of equations to process: 4140
% Current number of ordered equations: 1
% Current number of rules: 979
% New rule produced :
% [1031] apply(apply(apply(s,i),apply(apply(s,apply(k,i)),i)),X) <-> apply(X,X)
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 980
% New rule produced :
% [1032] apply(X,X) <-> apply(apply(apply(s,apply(apply(s,apply(k,i)),i)),i),X)
% Current number of equations to process: 4139
% Current number of ordered equations: 1
% Current number of rules: 981
% New rule produced :
% [1033] apply(apply(apply(s,apply(apply(s,apply(k,i)),i)),i),X) <-> apply(X,X)
% Current number of equations to process: 4139
% Current number of ordered equations: 0
% Current number of rules: 982
% New rule produced :
% [1034] apply(apply(apply(apply(s,b),apply(b,apply(k,Y))),X),Z) -> apply(X,Y)
% Current number of equations to process: 4138
% Current number of ordered equations: 0
% Current number of rules: 983
% New rule produced :
% [1035] apply(apply(apply(s,apply(s,apply(s,i))),i),apply(k,apply(k,X))) -> X
% Current number of equations to process: 4179
% Current number of ordered equations: 0
% Current number of rules: 984
% New rule produced :
% [1036]
% apply(X,apply(apply(apply(s,i),X),Y)) <->
% apply(apply(apply(apply(s,b),apply(b,Y)),X),Y)
% Current number of equations to process: 4178
% Current number of ordered equations: 1
% Current number of rules: 985
% New rule produced :
% [1037]
% apply(apply(apply(apply(s,b),apply(b,Y)),X),Y) <->
% apply(X,apply(apply(apply(s,i),X),Y))
% Current number of equations to process: 4178
% Current number of ordered equations: 0
% Current number of rules: 986
% Rule [934]
% apply(X,X) <->
% apply(apply(apply(s,apply(apply(b,apply(apply(s,i),Y)),k)),i),X) is composed into
% [934]
% apply(X,X) <->
% apply(apply(apply(s,apply(s,apply(apply(s,i),Y))),i),apply(k,X))
% Rule [913]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,apply(apply(b,apply(s,X)),k)),i),Y) is composed into
% [913]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,apply(s,apply(s,X))),i),apply(k,Y))
% Rule [911]
% apply(X,apply(X,Y)) <->
% apply(apply(apply(apply(s,apply(apply(b,s),k)),i),X),Y) is composed into
% [911]
% apply(X,apply(X,Y)) <->
% apply(apply(apply(apply(s,apply(s,s)),i),apply(k,X)),Y)
% New rule produced :
% [1038]
% apply(apply(apply(s,apply(apply(b,X),k)),i),Y) ->
% apply(apply(apply(s,apply(s,X)),i),apply(k,Y))
% Rule
% [912]
% apply(apply(apply(apply(s,apply(apply(b,s),k)),i),X),Y) <->
% apply(X,apply(X,Y)) collapsed.
% Rule
% [914]
% apply(apply(apply(s,apply(apply(b,apply(s,X)),k)),i),Y) <->
% apply(apply(X,Y),Y) collapsed.
% Rule
% [933]
% apply(apply(apply(s,apply(apply(b,apply(apply(s,i),Y)),k)),i),X) <->
% apply(X,X) collapsed.
% Current number of equations to process: 4195
% Current number of ordered equations: 0
% Current number of rules: 984
% New rule produced :
% [1039]
% apply(X,apply(k,X)) <->
% apply(apply(apply(s,apply(s,apply(apply(s,s),k))),i),apply(k,X))
% Current number of equations to process: 4194
% Current number of ordered equations: 1
% Current number of rules: 985
% New rule produced :
% [1040]
% apply(apply(apply(s,apply(s,apply(apply(s,s),k))),i),apply(k,X)) <->
% apply(X,apply(k,X))
% Current number of equations to process: 4194
% Current number of ordered equations: 0
% Current number of rules: 986
% New rule produced :
% [1041]
% apply(apply(apply(s,apply(s,apply(s,apply(s,i)))),i),apply(k,X)) <->
% apply(X,apply(X,X))
% Current number of equations to process: 4193
% Current number of ordered equations: 1
% Current number of rules: 987
% New rule produced :
% [1042]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,apply(s,apply(s,apply(s,i)))),i),apply(k,X))
% Current number of equations to process: 4193
% Current number of ordered equations: 0
% Current number of rules: 988
% New rule produced :
% [1043]
% apply(X,apply(Y,Y)) <->
% apply(apply(apply(s,apply(s,apply(s,apply(b,X)))),i),apply(k,Y))
% Current number of equations to process: 4192
% Current number of ordered equations: 1
% Current number of rules: 989
% New rule produced :
% [1044]
% apply(apply(apply(s,apply(s,apply(s,apply(b,X)))),i),apply(k,Y)) <->
% apply(X,apply(Y,Y))
% Current number of equations to process: 4192
% Current number of ordered equations: 0
% Current number of rules: 990
% New rule produced :
% [1045]
% apply(X,apply(apply(apply(s,Y),X),Z)) <->
% apply(apply(apply(apply(s,b),apply(b,apply(Y,Z))),X),Z)
% Current number of equations to process: 4191
% Current number of ordered equations: 1
% Current number of rules: 991
% New rule produced :
% [1046]
% apply(apply(apply(apply(s,b),apply(b,apply(Y,Z))),X),Z) <->
% apply(X,apply(apply(apply(s,Y),X),Z))
% Current number of equations to process: 4191
% Current number of ordered equations: 0
% Current number of rules: 992
% New rule produced :
% [1047]
% apply(X,apply(X,Y)) <->
% apply(apply(apply(apply(s,b),apply(b,apply(apply(s,k),Z))),X),Y)
% Current number of equations to process: 4190
% Current number of ordered equations: 1
% Current number of rules: 993
% New rule produced :
% [1048]
% apply(apply(apply(apply(s,b),apply(b,apply(apply(s,k),Z))),X),Y) <->
% apply(X,apply(X,Y))
% Current number of equations to process: 4190
% Current number of ordered equations: 0
% Current number of rules: 994
% New rule produced :
% [1049]
% (eq)(apply(apply(X,apply(Y,Z)),apply(apply(apply(apply(s,b),apply(b,X)),Y),Z)),
% apply(combinator,apply(apply(apply(s,i),Y),apply(X,apply(Y,Z))))) -> (false)
% Current number of equations to process: 4242
% Current number of ordered equations: 0
% Current number of rules: 995
% New rule produced :
% [1050]
% apply(apply(apply(s,apply(apply(s,b),apply(b,X))),i),Y) <->
% apply(Y,apply(X,apply(Y,Y)))
% Current number of equations to process: 4355
% Current number of ordered equations: 1
% Current number of rules: 996
% New rule produced :
% [1051]
% apply(Y,apply(X,apply(Y,Y))) <->
% apply(apply(apply(s,apply(apply(s,b),apply(b,X))),i),Y)
% Current number of equations to process: 4355
% Current number of ordered equations: 0
% Current number of rules: 997
% New rule produced :
% [1052]
% apply(apply(apply(s,apply(apply(s,b),apply(b,X))),Y),Z) <->
% apply(Z,apply(X,apply(Z,apply(Y,Z))))
% Current number of equations to process: 4354
% Current number of ordered equations: 1
% Current number of rules: 998
% New rule produced :
% [1053]
% apply(Z,apply(X,apply(Z,apply(Y,Z)))) <->
% apply(apply(apply(s,apply(apply(s,b),apply(b,X))),Y),Z)
% Current number of equations to process: 4354
% Current number of ordered equations: 0
% Current number of rules: 999
% New rule produced :
% [1054]
% (eq)(apply(X,apply(Y,apply(Z,apply(Y,X)))),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(
% apply(s,b),
% apply(b,Z)),Y)),X)))
% -> (false)
% Current number of equations to process: 4373
% Current number of ordered equations: 0
% Current number of rules: 1000
% New rule produced :
% [1055] apply(X,apply(X,i)) <-> apply(apply(apply(apply(s,b),apply(s,i)),X),i)
% Current number of equations to process: 4425
% Current number of ordered equations: 1
% Current number of rules: 1001
% New rule produced :
% [1056] apply(apply(apply(apply(s,b),apply(s,i)),X),i) <-> apply(X,apply(X,i))
% Current number of equations to process: 4425
% Current number of ordered equations: 0
% Current number of rules: 1002
% New rule produced :
% [1057]
% (eq)(apply(apply(X,apply(Y,X)),apply(apply(apply(apply(s,b),apply(s,i)),Y),X)),
% apply(combinator,apply(apply(apply(s,i),Y),apply(X,apply(Y,X))))) -> (false)
% Current number of equations to process: 4521
% Current number of ordered equations: 0
% Current number of rules: 1003
% Rule [1055]
% apply(X,apply(X,i)) <-> apply(apply(apply(apply(s,b),apply(s,i)),X),i) is composed into
% [1055] apply(X,apply(X,i)) <-> apply(apply(apply(apply(s,b),apply(b,i)),X),i)
% New rule produced :
% [1058]
% apply(apply(apply(apply(s,b),apply(s,i)),Y),X) <->
% apply(apply(apply(apply(s,b),apply(b,X)),Y),X)
% Rule
% [1056] apply(apply(apply(apply(s,b),apply(s,i)),X),i) <-> apply(X,apply(X,i))
% collapsed.
% Current number of equations to process: 4632
% Current number of ordered equations: 1
% Current number of rules: 1003
% New rule produced :
% [1059]
% apply(apply(apply(apply(s,b),apply(b,X)),Y),X) <->
% apply(apply(apply(apply(s,b),apply(s,i)),Y),X)
% Current number of equations to process: 4632
% Current number of ordered equations: 0
% Current number of rules: 1004
% New rule produced :
% [1060]
% apply(apply(apply(s,apply(apply(s,b),apply(s,i))),i),X) <->
% apply(X,apply(X,apply(X,X)))
% Current number of equations to process: 4631
% Current number of ordered equations: 1
% Current number of rules: 1005
% New rule produced :
% [1061]
% apply(X,apply(X,apply(X,X))) <->
% apply(apply(apply(s,apply(apply(s,b),apply(s,i))),i),X)
% Current number of equations to process: 4631
% Current number of ordered equations: 0
% Current number of rules: 1006
% New rule produced :
% [1062]
% (eq)(apply(X,apply(Y,apply(X,apply(Y,X)))),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(
% apply(s,b),
% apply(s,i)),Y)),X)))
% -> (false)
% Current number of equations to process: 4648
% Current number of ordered equations: 0
% Current number of rules: 1007
% New rule produced :
% [1063]
% apply(X,apply(apply(apply(s,X),Y),X)) <->
% apply(apply(apply(s,apply(apply(s,b),X)),Y),X)
% Current number of equations to process: 4724
% Current number of ordered equations: 1
% Current number of rules: 1008
% New rule produced :
% [1064]
% apply(apply(apply(s,apply(apply(s,b),X)),Y),X) <->
% apply(X,apply(apply(apply(s,X),Y),X))
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 1009
% New rule produced :
% [1065] apply(apply(apply(apply(s,apply(s,b)),i),apply(apply(s,k),Y)),X) -> X
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 1010
% New rule produced :
% [1066]
% (eq)(apply(apply(apply(X,X),Y),apply(apply(apply(apply(s,apply(s,b)),i),X),Y)),
% apply(combinator,apply(apply(apply(s,i),X),apply(apply(X,X),Y)))) -> (false)
% Current number of equations to process: 4751
% Current number of ordered equations: 0
% Current number of rules: 1011
% New rule produced :
% [1067] apply(X,X) <-> apply(apply(apply(s,apply(apply(s,b),k)),i),X)
% Current number of equations to process: 4800
% Current number of ordered equations: 1
% Current number of rules: 1012
% New rule produced :
% [1068] apply(apply(apply(s,apply(apply(s,b),k)),i),X) <-> apply(X,X)
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 1013
% New rule produced :
% [1069]
% apply(X,apply(Y,X)) <->
% apply(apply(apply(s,apply(apply(s,b),apply(k,Y))),i),X)
% Current number of equations to process: 4842
% Current number of ordered equations: 1
% Current number of rules: 1014
% New rule produced :
% [1070]
% apply(apply(apply(s,apply(apply(s,b),apply(k,Y))),i),X) <->
% apply(X,apply(Y,X))
% Current number of equations to process: 4842
% Current number of ordered equations: 0
% Current number of rules: 1015
% Rule [809]
% apply(X,apply(apply(apply(s,X),i),X)) <->
% apply(apply(apply(apply(s,apply(s,b)),i),X),X) is composed into
% [809]
% apply(X,apply(apply(apply(s,X),i),X)) <->
% apply(apply(apply(s,i),apply(apply(s,X),i)),X)
% New rule produced :
% [1071]
% apply(apply(apply(apply(s,apply(s,b)),i),X),X) ->
% apply(apply(apply(s,i),apply(apply(s,X),i)),X)
% Rule
% [812]
% apply(apply(apply(apply(s,apply(s,b)),i),X),X) <->
% apply(X,apply(apply(apply(s,X),i),X)) collapsed.
% Current number of equations to process: 4855
% Current number of ordered equations: 0
% Current number of rules: 1015
% New rule produced :
% [1072]
% apply(apply(apply(s,apply(apply(s,b),apply(s,Y))),i),X) <->
% apply(X,apply(apply(Y,X),apply(X,X)))
% Current number of equations to process: 4854
% Current number of ordered equations: 1
% Current number of rules: 1016
% New rule produced :
% [1073]
% apply(X,apply(apply(Y,X),apply(X,X))) <->
% apply(apply(apply(s,apply(apply(s,b),apply(s,Y))),i),X)
% Current number of equations to process: 4854
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [1074]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,apply(apply(s,b),apply(apply(s,k),Y))),i),X)
% Current number of equations to process: 4853
% Current number of ordered equations: 1
% Current number of rules: 1018
% New rule produced :
% [1075]
% apply(apply(apply(s,apply(apply(s,b),apply(apply(s,k),Y))),i),X) <->
% apply(X,apply(X,X))
% Current number of equations to process: 4853
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1076]
% apply(apply(apply(s,apply(apply(s,b),apply(s,apply(s,k)))),i),X) <->
% apply(X,apply(X,X))
% Current number of equations to process: 4852
% Current number of ordered equations: 1
% Current number of rules: 1020
% New rule produced :
% [1077]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,apply(apply(s,b),apply(s,apply(s,k)))),i),X)
% Current number of equations to process: 4852
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [1078]
% (eq)(apply(apply(apply(apply(s,s),apply(b,X)),apply(Y,X)),X),apply(combinator,
% apply(apply(
% apply(s,i),X),
% apply(apply(Y,X),X))))
% -> (false)
% Current number of equations to process: 4882
% Current number of ordered equations: 0
% Current number of rules: 1022
% Rule [1077]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,apply(apply(s,b),apply(s,apply(s,k)))),i),X) is composed into
% [1077]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,i),apply(apply(s,apply(s,apply(s,k))),i)),X)
% Rule [1074]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,apply(apply(s,b),apply(apply(s,k),Y))),i),X) is composed into
% [1074]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,i),apply(apply(s,apply(apply(s,k),Y)),i)),X)
% Rule [1073]
% apply(X,apply(apply(Y,X),apply(X,X))) <->
% apply(apply(apply(s,apply(apply(s,b),apply(s,Y))),i),X) is composed into
% [1073]
% apply(X,apply(apply(Y,X),apply(X,X))) <->
% apply(apply(apply(s,i),apply(apply(s,apply(s,Y)),i)),X)
% Rule [1069]
% apply(X,apply(Y,X)) <->
% apply(apply(apply(s,apply(apply(s,b),apply(k,Y))),i),X) is composed into
% [1069]
% apply(X,apply(Y,X)) <->
% apply(apply(apply(s,i),apply(apply(s,apply(k,Y)),i)),X)
% Rule [1067] apply(X,X) <-> apply(apply(apply(s,apply(apply(s,b),k)),i),X) is composed into
% [1067] apply(X,X) <-> apply(apply(apply(s,i),apply(apply(s,k),i)),X)
% Rule [1061]
% apply(X,apply(X,apply(X,X))) <->
% apply(apply(apply(s,apply(apply(s,b),apply(s,i))),i),X) is composed into
% [1061]
% apply(X,apply(X,apply(X,X))) <->
% apply(apply(apply(s,i),apply(apply(s,apply(s,i)),i)),X)
% Rule [1051]
% apply(Y,apply(X,apply(Y,Y))) <->
% apply(apply(apply(s,apply(apply(s,b),apply(b,X))),i),Y) is composed into
% [1051]
% apply(Y,apply(X,apply(Y,Y))) <->
% apply(apply(apply(s,i),apply(apply(s,apply(b,X)),i)),Y)
% Rule [810]
% apply(Y,apply(apply(apply(s,X),i),Y)) <->
% apply(apply(apply(s,apply(apply(s,b),X)),i),Y) is composed into
% [810]
% apply(Y,apply(apply(apply(s,X),i),Y)) <->
% apply(apply(apply(s,i),apply(apply(s,X),i)),Y)
% Rule [717]
% apply(X,X) <-> apply(apply(apply(s,apply(apply(s,b),apply(s,k))),i),X) is composed into
% [717] apply(X,X) <-> apply(apply(apply(s,i),apply(apply(s,apply(s,k)),i)),X)
% Rule [610]
% apply(X,apply(X,X)) <-> apply(apply(apply(s,apply(apply(s,b),i)),i),X) is composed into
% [610] apply(X,apply(X,X)) <-> apply(apply(apply(s,i),apply(apply(s,i),i)),X)
% Rule [110]
% apply(Y,apply(apply(X,Y),Y)) <->
% apply(apply(apply(s,apply(apply(s,b),X)),i),Y) is composed into
% [110]
% apply(Y,apply(apply(X,Y),Y)) <->
% apply(apply(apply(s,i),apply(apply(s,X),i)),Y)
% New rule produced :
% [1079]
% apply(apply(apply(s,apply(apply(s,b),X)),i),Y) ->
% apply(apply(apply(s,i),apply(apply(s,X),i)),Y)
% Rule
% [111]
% apply(apply(apply(s,apply(apply(s,b),X)),i),Y) <->
% apply(Y,apply(apply(X,Y),Y)) collapsed.
% Rule
% [611] apply(apply(apply(s,apply(apply(s,b),i)),i),X) <-> apply(X,apply(X,X))
% collapsed.
% Rule
% [718] apply(apply(apply(s,apply(apply(s,b),apply(s,k))),i),X) <-> apply(X,X)
% collapsed.
% Rule
% [811]
% apply(apply(apply(s,apply(apply(s,b),X)),i),Y) <->
% apply(Y,apply(apply(apply(s,X),i),Y)) collapsed.
% Rule
% [1050]
% apply(apply(apply(s,apply(apply(s,b),apply(b,X))),i),Y) <->
% apply(Y,apply(X,apply(Y,Y))) collapsed.
% Rule
% [1060]
% apply(apply(apply(s,apply(apply(s,b),apply(s,i))),i),X) <->
% apply(X,apply(X,apply(X,X))) collapsed.
% Rule [1068] apply(apply(apply(s,apply(apply(s,b),k)),i),X) <-> apply(X,X)
% collapsed.
% Rule
% [1070]
% apply(apply(apply(s,apply(apply(s,b),apply(k,Y))),i),X) <->
% apply(X,apply(Y,X)) collapsed.
% Rule
% [1072]
% apply(apply(apply(s,apply(apply(s,b),apply(s,Y))),i),X) <->
% apply(X,apply(apply(Y,X),apply(X,X))) collapsed.
% Rule
% [1075]
% apply(apply(apply(s,apply(apply(s,b),apply(apply(s,k),Y))),i),X) <->
% apply(X,apply(X,X)) collapsed.
% Rule
% [1076]
% apply(apply(apply(s,apply(apply(s,b),apply(s,apply(s,k)))),i),X) <->
% apply(X,apply(X,X)) collapsed.
% Current number of equations to process: 4966
% Current number of ordered equations: 0
% Current number of rules: 1012
% New rule produced :
% [1080]
% apply(Y,apply(apply(Y,Y),apply(X,Y))) <->
% apply(apply(apply(s,apply(apply(s,apply(s,b)),i)),X),Y)
% Current number of equations to process: 2394
% Current number of ordered equations: 1
% Current number of rules: 1013
% New rule produced :
% [1081]
% apply(apply(apply(s,apply(apply(s,apply(s,b)),i)),X),Y) <->
% apply(Y,apply(apply(Y,Y),apply(X,Y)))
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 1014
% New rule produced :
% [1082]
% (eq)(apply(X,apply(Y,apply(apply(Y,Y),X))),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(
% apply(s,
% apply(s,b)),i),Y)),X)))
% -> (false)
% Current number of equations to process: 2413
% Current number of ordered equations: 0
% Current number of rules: 1015
% New rule produced :
% [1083]
% (eq)(apply(X,apply(X,X)),apply(apply(apply(s,apply(s,apply(b,combinator))),i),X))
% -> (false)
% Current number of equations to process: 2450
% Current number of ordered equations: 0
% Current number of rules: 1016
% New rule produced :
% [1084] apply(X,apply(X,X)) <-> apply(apply(apply(s,apply(s,apply(b,i))),i),X)
% Current number of equations to process: 2479
% Current number of ordered equations: 1
% Current number of rules: 1017
% New rule produced :
% [1085] apply(apply(apply(s,apply(s,apply(b,i))),i),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 2479
% Current number of ordered equations: 0
% Current number of rules: 1018
% New rule produced :
% [1086] apply(apply(apply(s,apply(s,apply(b,apply(k,X)))),i),Y) -> X
% Current number of equations to process: 2478
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1087]
% apply(X,apply(X,X)) <->
% apply(apply(apply(apply(s,apply(s,apply(b,k))),i),X),Y)
% Current number of equations to process: 2516
% Current number of ordered equations: 1
% Current number of rules: 1020
% New rule produced :
% [1088]
% apply(apply(apply(apply(s,apply(s,apply(b,k))),i),X),Y) <->
% apply(X,apply(X,X))
% Current number of equations to process: 2516
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [1089] apply(apply(apply(apply(s,apply(s,apply(b,apply(s,k)))),i),X),Y) -> Y
% Current number of equations to process: 2515
% Current number of ordered equations: 0
% Current number of rules: 1022
% New rule produced :
% [1090]
% apply(apply(apply(s,apply(s,apply(apply(s,apply(s,b)),i))),i),apply(k,X)) ->
% X
% Current number of equations to process: 2528
% Current number of ordered equations: 0
% Current number of rules: 1023
% New rule produced :
% [1091]
% apply(apply(apply(s,apply(s,apply(b,apply(X,X)))),i),X) ->
% apply(apply(apply(s,i),X),apply(X,X))
% Current number of equations to process: 2527
% Current number of ordered equations: 0
% Current number of rules: 1024
% New rule produced :
% [1092]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,apply(s,apply(b,apply(apply(s,k),Y)))),i),X)
% Current number of equations to process: 2526
% Current number of ordered equations: 1
% Current number of rules: 1025
% New rule produced :
% [1093]
% apply(apply(apply(s,apply(s,apply(b,apply(apply(s,k),Y)))),i),X) <->
% apply(X,apply(X,X))
% Current number of equations to process: 2526
% Current number of ordered equations: 0
% Current number of rules: 1026
% New rule produced :
% [1094]
% (eq)(apply(X,apply(apply(Y,apply(Y,Y)),X)),apply(combinator,apply(apply(
% apply(
% apply(s,
% apply(s,
% apply(b,
% apply(s,i)))),i),Y),X)))
% -> (false)
% Current number of equations to process: 2568
% Current number of ordered equations: 0
% Current number of rules: 1027
% New rule produced :
% [1095]
% (eq)(apply(apply(X,apply(X,X)),apply(Y,apply(X,apply(X,X)))),apply(combinator,
% apply(apply(
% apply(s,
% apply(s,
% apply(b,
% apply(
% apply(s,i),Y)))),i),X)))
% -> (false)
% Current number of equations to process: 2567
% Current number of ordered equations: 0
% Current number of rules: 1028
% Rule [1092]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,apply(s,apply(b,apply(apply(s,k),Y)))),i),X) is composed into
% [1092]
% apply(X,apply(X,X)) <->
% apply(apply(apply(s,k),Y),apply(apply(apply(s,apply(s,i)),i),X))
% Rule [1087]
% apply(X,apply(X,X)) <->
% apply(apply(apply(apply(s,apply(s,apply(b,k))),i),X),Y) is composed into
% [1087]
% apply(X,apply(X,X)) <->
% apply(apply(k,apply(apply(apply(s,apply(s,i)),i),X)),Y)
% Rule [1084]
% apply(X,apply(X,X)) <-> apply(apply(apply(s,apply(s,apply(b,i))),i),X) is composed into
% [1084] apply(X,apply(X,X)) <-> apply(i,apply(apply(apply(s,apply(s,i)),i),X))
% Rule [752]
% apply(X,apply(apply(apply(s,i),Y),Y)) <->
% apply(apply(apply(s,apply(s,apply(b,X))),i),Y) is composed into
% [752]
% apply(X,apply(apply(apply(s,i),Y),Y)) <->
% apply(X,apply(apply(apply(s,apply(s,i)),i),Y))
% Rule [113]
% apply(X,apply(Y,apply(Y,Y))) <->
% apply(apply(apply(s,apply(s,apply(b,X))),i),Y) is composed into
% [113]
% apply(X,apply(Y,apply(Y,Y))) <->
% apply(X,apply(apply(apply(s,apply(s,i)),i),Y))
% New rule produced :
% [1096]
% apply(apply(apply(s,apply(s,apply(b,X))),i),Y) ->
% apply(X,apply(apply(apply(s,apply(s,i)),i),Y))
% Rule
% [114]
% apply(apply(apply(s,apply(s,apply(b,X))),i),Y) <->
% apply(X,apply(Y,apply(Y,Y))) collapsed.
% Rule
% [753]
% apply(apply(apply(s,apply(s,apply(b,X))),i),Y) <->
% apply(X,apply(apply(apply(s,i),Y),Y)) collapsed.
% Rule
% [1011] apply(apply(apply(s,apply(s,apply(b,X))),i),apply(k,Y)) -> apply(X,Y)
% collapsed.
% Rule
% [1083]
% (eq)(apply(X,apply(X,X)),apply(apply(apply(s,apply(s,apply(b,combinator))),i),X))
% -> (false) collapsed.
% Rule
% [1085] apply(apply(apply(s,apply(s,apply(b,i))),i),X) <-> apply(X,apply(X,X))
% collapsed.
% Rule [1086] apply(apply(apply(s,apply(s,apply(b,apply(k,X)))),i),Y) -> X
% collapsed.
% Rule
% [1088]
% apply(apply(apply(apply(s,apply(s,apply(b,k))),i),X),Y) <->
% apply(X,apply(X,X)) collapsed.
% Rule
% [1089] apply(apply(apply(apply(s,apply(s,apply(b,apply(s,k)))),i),X),Y) -> Y
% collapsed.
% Rule
% [1091]
% apply(apply(apply(s,apply(s,apply(b,apply(X,X)))),i),X) ->
% apply(apply(apply(s,i),X),apply(X,X)) collapsed.
% Rule
% [1093]
% apply(apply(apply(s,apply(s,apply(b,apply(apply(s,k),Y)))),i),X) <->
% apply(X,apply(X,X)) collapsed.
% Rule
% [1094]
% (eq)(apply(X,apply(apply(Y,apply(Y,Y)),X)),apply(combinator,apply(apply(
% apply(
% apply(s,
% apply(s,
% apply(b,
% apply(s,i)))),i),Y),X)))
% -> (false) collapsed.
% Rule
% [1095]
% (eq)(apply(apply(X,apply(X,X)),apply(Y,apply(X,apply(X,X)))),apply(combinator,
% apply(apply(
% apply(s,
% apply(s,
% apply(b,
% apply(
% apply(s,i),Y)))),i),X)))
% -> (false) collapsed.
% Current number of equations to process: 2655
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [1097]
% (eq)(apply(X,apply(apply(Y,apply(Y,Y)),X)),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(
% apply(s,
% apply(s,i)),i),Y)),X)))
% -> (false)
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 1018
% New rule produced :
% [1098]
% (eq)(apply(apply(X,apply(X,X)),apply(Y,apply(X,apply(X,X)))),apply(combinator,
% apply(apply(
% apply(s,i),Y),
% apply(apply(
% apply(s,
% apply(s,i)),i),X))))
% -> (false)
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1099]
% apply(apply(apply(s,apply(apply(s,s),X)),Y),apply(s,k)) ->
% apply(apply(apply(s,X),Y),apply(s,k))
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 1020
% New rule produced :
% [1100]
% (eq)(apply(X,apply(apply(Y,apply(s,k)),X)),apply(combinator,apply(apply(
% apply(s,i),
% apply(
% apply(
% apply(s,s),Y),
% apply(s,k))),X)))
% -> (false)
% Current number of equations to process: 2694
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [1101] apply(X,apply(Y,X)) <-> apply(apply(apply(s,apply(apply(b,i),i)),Y),X)
% Current number of equations to process: 2759
% Current number of ordered equations: 1
% Current number of rules: 1022
% New rule produced :
% [1102] apply(apply(apply(s,apply(apply(b,i),i)),Y),X) <-> apply(X,apply(Y,X))
% Current number of equations to process: 2759
% Current number of ordered equations: 0
% Current number of rules: 1023
% New rule produced :
% [1103]
% apply(apply(apply(s,apply(apply(b,X),i)),Y),Y) ->
% apply(apply(apply(s,X),Y),Y)
% Current number of equations to process: 2766
% Current number of ordered equations: 0
% Current number of rules: 1024
% Rule [1101]
% apply(X,apply(Y,X)) <-> apply(apply(apply(s,apply(apply(b,i),i)),Y),X) is composed into
% [1101] apply(X,apply(Y,X)) <-> apply(apply(apply(s,i),Y),X)
% Rule [116]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(b,X),i)),Z),Y) is composed into
% [116] apply(apply(X,Y),apply(Z,Y)) <-> apply(apply(apply(s,X),Z),Y)
% New rule produced :
% [1104]
% apply(apply(apply(s,apply(apply(b,X),i)),Y),Z) ->
% apply(apply(apply(s,X),Y),Z)
% Rule
% [118]
% apply(apply(apply(s,apply(apply(b,X),i)),Z),Y) <->
% apply(apply(X,Y),apply(Z,Y)) collapsed.
% Rule
% [1102] apply(apply(apply(s,apply(apply(b,i),i)),Y),X) <-> apply(X,apply(Y,X))
% collapsed.
% Rule
% [1103]
% apply(apply(apply(s,apply(apply(b,X),i)),Y),Y) ->
% apply(apply(apply(s,X),Y),Y) collapsed.
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 1022
% New rule produced :
% [1105] apply(apply(apply(s,apply(apply(b,i),k)),Y),X) -> X
% Current number of equations to process: 2891
% Current number of ordered equations: 0
% Current number of rules: 1023
% New rule produced :
% [1106]
% apply(apply(apply(s,apply(apply(b,i),X)),Y),Y) ->
% apply(apply(apply(s,X),Y),Y)
% Current number of equations to process: 2932
% Current number of ordered equations: 0
% Current number of rules: 1024
% Rule [909]
% apply(apply(X,Y),Y) <-> apply(apply(apply(s,apply(apply(b,i),X)),i),Y) is composed into
% [909] apply(apply(X,Y),Y) <-> apply(apply(apply(s,X),i),Y)
% Rule [117]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,apply(apply(b,i),X)),Z),Y) is composed into
% [117] apply(apply(X,Y),apply(Z,Y)) <-> apply(apply(apply(s,X),Z),Y)
% New rule produced :
% [1107]
% apply(apply(apply(s,apply(apply(b,i),X)),Y),Z) ->
% apply(apply(apply(s,X),Y),Z)
% Rule
% [119]
% apply(apply(apply(s,apply(apply(b,i),X)),Z),Y) <->
% apply(apply(X,Y),apply(Z,Y)) collapsed.
% Rule
% [910] apply(apply(apply(s,apply(apply(b,i),X)),i),Y) <-> apply(apply(X,Y),Y)
% collapsed.
% Rule [1105] apply(apply(apply(s,apply(apply(b,i),k)),Y),X) -> X collapsed.
% Rule
% [1106]
% apply(apply(apply(s,apply(apply(b,i),X)),Y),Y) ->
% apply(apply(apply(s,X),Y),Y) collapsed.
% Current number of equations to process: 2931
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [1108]
% apply(apply(apply(s,apply(apply(apply(s,b),X),apply(s,k))),Y),Z) ->
% apply(Y,Z)
% Current number of equations to process: 3087
% Current number of ordered equations: 0
% Current number of rules: 1022
% New rule produced :
% [1109]
% apply(Y,Y) <->
% apply(apply(apply(s,apply(s,apply(apply(b,apply(s,k)),X))),i),Y)
% Current number of equations to process: 3086
% Current number of ordered equations: 1
% Current number of rules: 1023
% New rule produced :
% [1110]
% apply(apply(apply(s,apply(s,apply(apply(b,apply(s,k)),X))),i),Y) <->
% apply(Y,Y)
% Current number of equations to process: 3086
% Current number of ordered equations: 0
% Current number of rules: 1024
% New rule produced :
% [1111]
% apply(Z,apply(Y,Z)) <->
% apply(apply(apply(s,apply(s,apply(apply(b,apply(s,k)),X))),Y),Z)
% Current number of equations to process: 3085
% Current number of ordered equations: 1
% Current number of rules: 1025
% New rule produced :
% [1112]
% apply(apply(apply(s,apply(s,apply(apply(b,apply(s,k)),X))),Y),Z) <->
% apply(Z,apply(Y,Z))
% Current number of equations to process: 3085
% Current number of ordered equations: 0
% Current number of rules: 1026
% New rule produced :
% [1113]
% (eq)(apply(X,apply(Y,X)),apply(combinator,apply(apply(apply(s,i),apply(
% apply(s,
% apply(
% apply(b,
% apply(s,k)),Z)),Y)),X)))
% -> (false)
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 1027
% New rule produced :
% [1114] apply(apply(X,Y),Y) <-> apply(apply(apply(s,X),apply(apply(b,i),i)),Y)
% Current number of equations to process: 3173
% Current number of ordered equations: 1
% Current number of rules: 1028
% New rule produced :
% [1115] apply(apply(apply(s,X),apply(apply(b,i),i)),Y) <-> apply(apply(X,Y),Y)
% Current number of equations to process: 3173
% Current number of ordered equations: 0
% Current number of rules: 1029
% Rule [1114]
% apply(apply(X,Y),Y) <-> apply(apply(apply(s,X),apply(apply(b,i),i)),Y) is composed into
% [1114] apply(apply(X,Y),Y) <-> apply(apply(apply(s,X),i),Y)
% Rule [121]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,X),apply(apply(b,Z),i)),Y) is composed into
% [121] apply(apply(X,Y),apply(Z,Y)) <-> apply(apply(apply(s,X),Z),Y)
% New rule produced :
% [1116]
% apply(apply(apply(s,X),apply(apply(b,Y),i)),Z) ->
% apply(apply(apply(s,X),Y),Z)
% Rule
% [123]
% apply(apply(apply(s,X),apply(apply(b,Z),i)),Y) <->
% apply(apply(X,Y),apply(Z,Y)) collapsed.
% Rule
% [1115] apply(apply(apply(s,X),apply(apply(b,i),i)),Y) <-> apply(apply(X,Y),Y)
% collapsed.
% Current number of equations to process: 3182
% Current number of ordered equations: 0
% Current number of rules: 1028
% New rule produced :
% [1117]
% apply(apply(apply(s,X),apply(apply(b,i),Y)),Y) ->
% apply(apply(apply(s,X),Y),Y)
% Current number of equations to process: 3350
% Current number of ordered equations: 0
% Current number of rules: 1029
% Rule [816]
% apply(X,apply(Y,X)) <-> apply(apply(apply(s,i),apply(apply(b,i),Y)),X) is composed into
% [816] apply(X,apply(Y,X)) <-> apply(apply(apply(s,i),Y),X)
% Rule [122]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,X),apply(apply(b,i),Z)),Y) is composed into
% [122] apply(apply(X,Y),apply(Z,Y)) <-> apply(apply(apply(s,X),Z),Y)
% New rule produced :
% [1118]
% apply(apply(apply(s,X),apply(apply(b,i),Y)),Z) ->
% apply(apply(apply(s,X),Y),Z)
% Rule
% [124]
% apply(apply(apply(s,X),apply(apply(b,i),Z)),Y) <->
% apply(apply(X,Y),apply(Z,Y)) collapsed.
% Rule
% [817] apply(apply(apply(s,i),apply(apply(b,i),Y)),X) <-> apply(X,apply(Y,X))
% collapsed.
% Rule
% [1117]
% apply(apply(apply(s,X),apply(apply(b,i),Y)),Y) ->
% apply(apply(apply(s,X),Y),Y) collapsed.
% Current number of equations to process: 3349
% Current number of ordered equations: 0
% Current number of rules: 1027
% New rule produced :
% [1119] apply(apply(apply(s,apply(s,apply(s,k))),Y),apply(k,X)) -> X
% Rule [1010] apply(apply(apply(s,apply(s,apply(s,k))),i),apply(k,X)) -> X
% collapsed.
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 1027
% New rule produced :
% [1120]
% apply(apply(apply(s,apply(s,apply(s,k))),X),X) ->
% apply(apply(apply(s,i),X),X)
% Current number of equations to process: 3517
% Current number of ordered equations: 0
% Current number of rules: 1028
% Rule [583]
% apply(apply(Z,Y),apply(apply(apply(s,X),Z),Y)) <->
% apply(apply(apply(s,apply(s,apply(s,k))),apply(X,Y)),apply(Z,Y)) is composed into
% [583]
% apply(apply(Z,Y),apply(apply(apply(s,X),Z),Y)) <->
% apply(apply(apply(s,i),apply(X,Y)),apply(Z,Y))
% Rule [484]
% apply(Z,apply(apply(X,Z),apply(Y,Z))) <->
% apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(s,X),Y)),Z) is composed into
% [484]
% apply(Z,apply(apply(X,Z),apply(Y,Z))) <->
% apply(apply(apply(s,i),apply(apply(s,X),Y)),Z)
% Rule [381]
% apply(Z,apply(X,apply(Y,Z))) <->
% apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(b,X),Y)),Z) is composed into
% [381]
% apply(Z,apply(X,apply(Y,Z))) <->
% apply(apply(apply(s,i),apply(apply(b,X),Y)),Z)
% Rule [274] apply(X,X) <-> apply(apply(apply(s,apply(s,apply(s,k))),i),X) is composed into
% [274] apply(X,X) <-> apply(apply(apply(s,i),i),X)
% Rule [125]
% apply(X,apply(Y,X)) <-> apply(apply(apply(s,apply(s,apply(s,k))),Y),X) is composed into
% [125] apply(X,apply(Y,X)) <-> apply(apply(apply(s,i),Y),X)
% New rule produced :
% [1121]
% apply(apply(apply(s,apply(s,apply(s,k))),X),Y) ->
% apply(apply(apply(s,i),X),Y)
% Rule
% [126] apply(apply(apply(s,apply(s,apply(s,k))),Y),X) <-> apply(X,apply(Y,X))
% collapsed.
% Rule [275] apply(apply(apply(s,apply(s,apply(s,k))),i),X) <-> apply(X,X)
% collapsed.
% Rule
% [382]
% apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(b,X),Y)),Z) <->
% apply(Z,apply(X,apply(Y,Z))) collapsed.
% Rule
% [487]
% apply(apply(apply(s,apply(s,apply(s,k))),apply(apply(s,X),Y)),Z) <->
% apply(Z,apply(apply(X,Z),apply(Y,Z))) collapsed.
% Rule
% [584]
% apply(apply(apply(s,apply(s,apply(s,k))),apply(X,Y)),apply(Z,Y)) <->
% apply(apply(Z,Y),apply(apply(apply(s,X),Z),Y)) collapsed.
% Rule [1119] apply(apply(apply(s,apply(s,apply(s,k))),Y),apply(k,X)) -> X
% collapsed.
% Rule
% [1120]
% apply(apply(apply(s,apply(s,apply(s,k))),X),X) ->
% apply(apply(apply(s,i),X),X) collapsed.
% Current number of equations to process: 3516
% Current number of ordered equations: 0
% Current number of rules: 1022
% New rule produced :
% [1122]
% apply(apply(apply(s,i),Y),apply(X,Y)) <->
% apply(apply(apply(s,X),apply(apply(s,i),X)),Y)
% Current number of equations to process: 3644
% Current number of ordered equations: 1
% Current number of rules: 1023
% New rule produced :
% [1123]
% apply(apply(apply(s,X),apply(apply(s,i),X)),Y) <->
% apply(apply(apply(s,i),Y),apply(X,Y))
% Current number of equations to process: 3644
% Current number of ordered equations: 0
% Current number of rules: 1024
% New rule produced :
% [1124]
% apply(apply(apply(s,i),Y),apply(X,Y)) <->
% apply(apply(apply(apply(s,s),apply(s,i)),X),Y)
% Current number of equations to process: 3643
% Current number of ordered equations: 1
% Current number of rules: 1025
% New rule produced :
% [1125]
% apply(apply(apply(apply(s,s),apply(s,i)),X),Y) <->
% apply(apply(apply(s,i),Y),apply(X,Y))
% Current number of equations to process: 3643
% Current number of ordered equations: 0
% Current number of rules: 1026
% New rule produced :
% [1126]
% apply(apply(apply(apply(s,i),X),apply(b,X)),Y) ->
% apply(X,apply(apply(apply(apply(s,i),b),X),Y))
% Current number of equations to process: 3654
% Current number of ordered equations: 0
% Current number of rules: 1027
% New rule produced :
% [1127] apply(X,apply(b,X)) <-> apply(apply(apply(apply(s,i),k),apply(b,X)),Y)
% Current number of equations to process: 3771
% Current number of ordered equations: 2
% Current number of rules: 1028
% New rule produced :
% [1128] apply(apply(apply(apply(s,i),Y),apply(b,apply(k,X))),Z) -> X
% Current number of equations to process: 3771
% Current number of ordered equations: 1
% Current number of rules: 1029
% New rule produced :
% [1129] apply(apply(apply(apply(s,i),k),apply(b,X)),Y) <-> apply(X,apply(b,X))
% Current number of equations to process: 3771
% Current number of ordered equations: 0
% Current number of rules: 1030
% New rule produced :
% [1130] apply(apply(apply(apply(s,i),apply(s,k)),apply(b,X)),Y) -> apply(X,Y)
% Current number of equations to process: 3781
% Current number of ordered equations: 0
% Current number of rules: 1031
% New rule produced :
% [1131]
% apply(apply(apply(apply(s,i),X),apply(b,Y)),Y) ->
% apply(apply(apply(s,i),apply(X,apply(b,Y))),Y)
% Current number of equations to process: 3813
% Current number of ordered equations: 0
% Current number of rules: 1032
% New rule produced :
% [1132]
% apply(X,apply(Y,apply(apply(b,X),Z))) <->
% apply(apply(apply(apply(s,i),apply(b,Y)),apply(b,X)),Z)
% Current number of equations to process: 3831
% Current number of ordered equations: 1
% Current number of rules: 1033
% New rule produced :
% [1133]
% apply(apply(apply(apply(s,i),apply(b,Y)),apply(b,X)),Z) <->
% apply(X,apply(Y,apply(apply(b,X),Z)))
% Current number of equations to process: 3831
% Current number of ordered equations: 0
% Current number of rules: 1034
% New rule produced :
% [1134]
% apply(X,apply(Y,apply(apply(b,X),Y))) <->
% apply(apply(apply(apply(s,i),apply(s,i)),apply(b,X)),Y)
% Current number of equations to process: 3830
% Current number of ordered equations: 1
% Current number of rules: 1035
% New rule produced :
% [1135]
% apply(apply(apply(apply(s,i),apply(s,i)),apply(b,X)),Y) <->
% apply(X,apply(Y,apply(apply(b,X),Y)))
% Current number of equations to process: 3830
% Current number of ordered equations: 0
% Current number of rules: 1036
% New rule produced :
% [1136]
% apply(apply(apply(apply(s,i),apply(s,i)),apply(b,X)),apply(k,Y)) ->
% apply(X,Y)
% Current number of equations to process: 3984
% Current number of ordered equations: 0
% Current number of rules: 1037
% New rule produced :
% [1137]
% (eq)(apply(X,apply(Y,apply(apply(Z,apply(b,Y)),X))),apply(combinator,
% apply(apply(apply(s,i),
% apply(apply(
% apply(s,i),Z),
% apply(b,Y))),X)))
% -> (false)
% Current number of equations to process: 4010
% Current number of ordered equations: 0
% Current number of rules: 1038
% New rule produced :
% [1138]
% apply(X,apply(apply(apply(s,i),i),apply(Y,X))) <->
% apply(apply(apply(s,i),apply(apply(s,Y),Y)),X)
% Current number of equations to process: 4110
% Current number of ordered equations: 1
% Current number of rules: 1039
% New rule produced :
% [1139]
% apply(apply(apply(s,i),apply(apply(s,Y),Y)),X) <->
% apply(X,apply(apply(apply(s,i),i),apply(Y,X)))
% Current number of equations to process: 4110
% Current number of ordered equations: 0
% Current number of rules: 1040
% New rule produced :
% [1140]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),apply(apply(apply(s,i),apply(
% apply(s,X),Z)),Y)),
% apply(combinator,apply(apply(apply(s,i),Y),apply(apply(X,Y),apply(Z,Y))))) ->
% (false)
% Current number of equations to process: 4167
% Current number of ordered equations: 0
% Current number of rules: 1041
% New rule produced :
% [1141] apply(X,X) <-> apply(apply(apply(s,i),apply(apply(s,apply(s,i)),k)),X)
% Current number of equations to process: 4169
% Current number of ordered equations: 1
% Current number of rules: 1042
% New rule produced :
% [1142] apply(apply(apply(s,i),apply(apply(s,apply(s,i)),k)),X) <-> apply(X,X)
% Current number of equations to process: 4169
% Current number of ordered equations: 0
% Current number of rules: 1043
% Rule [1063]
% apply(X,apply(apply(apply(s,X),Y),X)) <->
% apply(apply(apply(s,apply(apply(s,b),X)),Y),X) is composed into
% [1063]
% apply(X,apply(apply(apply(s,X),Y),X)) <->
% apply(apply(apply(s,i),apply(apply(s,X),Y)),X)
% New rule produced :
% [1143]
% apply(apply(apply(s,apply(apply(s,b),X)),Y),X) ->
% apply(apply(apply(s,i),apply(apply(s,X),Y)),X)
% Rule
% [1064]
% apply(apply(apply(s,apply(apply(s,b),X)),Y),X) <->
% apply(X,apply(apply(apply(s,X),Y),X)) collapsed.
% Current number of equations to process: 4268
% Current number of ordered equations: 0
% Current number of rules: 1043
% New rule produced :
% [1144]
% apply(Y,apply(apply(X,Y),apply(X,Y))) <->
% apply(apply(apply(s,i),apply(apply(apply(s,s),i),X)),Y)
% Current number of equations to process: 4279
% Current number of ordered equations: 1
% Current number of rules: 1044
% New rule produced :
% [1145]
% apply(apply(apply(s,i),apply(apply(apply(s,s),i),X)),Y) <->
% apply(Y,apply(apply(X,Y),apply(X,Y)))
% Current number of equations to process: 4279
% Current number of ordered equations: 0
% Current number of rules: 1045
% New rule produced :
% [1146]
% (eq)(apply(X,apply(X,apply(apply(Y,X),apply(Z,X)))),apply(combinator,
% apply(apply(apply(s,i),
% apply(apply(s,i),
% apply(apply(s,Y),Z))),X)))
% -> (false)
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 1046
% New rule produced :
% [1147]
% apply(apply(apply(s,X),apply(apply(s,Y),i)),Z) <->
% apply(apply(apply(s,X),apply(Y,Z)),Z)
% Current number of equations to process: 4391
% Current number of ordered equations: 1
% Current number of rules: 1047
% New rule produced :
% [1148]
% apply(apply(apply(s,X),apply(Y,Z)),Z) <->
% apply(apply(apply(s,X),apply(apply(s,Y),i)),Z)
% Current number of equations to process: 4391
% Current number of ordered equations: 0
% Current number of rules: 1048
% New rule produced :
% [1149]
% apply(apply(apply(s,Y),apply(X,Y)),Y) <->
% apply(apply(apply(s,apply(apply(s,i),i)),apply(X,Y)),Y)
% Current number of equations to process: 4412
% Current number of ordered equations: 1
% Current number of rules: 1049
% New rule produced :
% [1150]
% apply(apply(apply(s,apply(apply(s,i),i)),apply(X,Y)),Y) <->
% apply(apply(apply(s,Y),apply(X,Y)),Y)
% Current number of equations to process: 4412
% Current number of ordered equations: 0
% Current number of rules: 1050
% New rule produced :
% [1151]
% apply(apply(apply(s,apply(apply(s,X),i)),Y),Y) <->
% apply(apply(apply(s,apply(X,Y)),Y),Y)
% Current number of equations to process: 4548
% Current number of ordered equations: 1
% Current number of rules: 1051
% New rule produced :
% [1152]
% apply(apply(apply(s,apply(X,Y)),Y),Y) <->
% apply(apply(apply(s,apply(apply(s,X),i)),Y),Y)
% Current number of equations to process: 4548
% Current number of ordered equations: 0
% Current number of rules: 1052
% New rule produced :
% [1153]
% apply(apply(apply(s,apply(apply(s,X),i)),Y),Z) <->
% apply(apply(apply(s,apply(X,Z)),Y),Z)
% Rule
% [728]
% apply(apply(apply(s,apply(apply(s,X),i)),i),Y) <->
% apply(apply(apply(s,apply(X,Y)),i),Y) collapsed.
% Rule
% [1151]
% apply(apply(apply(s,apply(apply(s,X),i)),Y),Y) <->
% apply(apply(apply(s,apply(X,Y)),Y),Y) collapsed.
% Current number of equations to process: 4547
% Current number of ordered equations: 1
% Current number of rules: 1051
% New rule produced :
% [1154]
% apply(apply(apply(s,apply(X,Z)),Y),Z) <->
% apply(apply(apply(s,apply(apply(s,X),i)),Y),Z)
% Rule
% [727]
% apply(apply(apply(s,apply(X,Y)),i),Y) <->
% apply(apply(apply(s,apply(apply(s,X),i)),i),Y) collapsed.
% Rule
% [1152]
% apply(apply(apply(s,apply(X,Y)),Y),Y) <->
% apply(apply(apply(s,apply(apply(s,X),i)),Y),Y) collapsed.
% Current number of equations to process: 4547
% Current number of ordered equations: 0
% Current number of rules: 1050
% New rule produced :
% [1155]
% (eq)(apply(apply(X,Y),apply(apply(apply(s,apply(Z,Y)),X),Y)),apply(combinator,
% apply(apply(
% apply(s,i),
% apply(
% apply(
% apply(s,Z),i),Y)),
% apply(X,Y)))) ->
% (false)
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 1051
% New rule produced :
% [1156]
% apply(apply(apply(apply(s,i),i),apply(X,Y)),Y) <->
% apply(apply(apply(s,apply(apply(s,X),X)),i),Y)
% Current number of equations to process: 4738
% Current number of ordered equations: 1
% Current number of rules: 1052
% New rule produced :
% [1157]
% apply(apply(apply(s,apply(apply(s,X),X)),i),Y) <->
% apply(apply(apply(apply(s,i),i),apply(X,Y)),Y)
% Current number of equations to process: 4738
% Current number of ordered equations: 0
% Current number of rules: 1053
% New rule produced :
% [1158]
% apply(apply(apply(s,apply(X,Y)),apply(apply(s,i),i)),Y) <->
% apply(apply(apply(s,apply(X,Y)),Y),Y)
% Current number of equations to process: 4737
% Current number of ordered equations: 1
% Current number of rules: 1054
% New rule produced :
% [1159]
% apply(apply(apply(s,apply(X,Y)),Y),Y) <->
% apply(apply(apply(s,apply(X,Y)),apply(apply(s,i),i)),Y)
% Current number of equations to process: 4737
% Current number of ordered equations: 0
% Current number of rules: 1055
% New rule produced :
% [1160]
% apply(apply(apply(s,apply(s,apply(apply(s,X),i))),i),Y) <->
% apply(apply(apply(s,apply(X,Y)),Y),Y)
% Current number of equations to process: 4736
% Current number of ordered equations: 1
% Current number of rules: 1056
% New rule produced :
% [1161]
% apply(apply(apply(s,apply(X,Y)),Y),Y) <->
% apply(apply(apply(s,apply(s,apply(apply(s,X),i))),i),Y)
% Current number of equations to process: 4736
% Current number of ordered equations: 0
% Current number of rules: 1057
% New rule produced :
% [1162]
% apply(apply(X,X),apply(Y,apply(X,X))) <->
% apply(apply(apply(s,apply(apply(s,s),apply(b,Y))),i),X)
% Current number of equations to process: 4735
% Current number of ordered equations: 1
% Current number of rules: 1058
% New rule produced :
% [1163]
% apply(apply(apply(s,apply(apply(s,s),apply(b,Y))),i),X) <->
% apply(apply(X,X),apply(Y,apply(X,X)))
% Current number of equations to process: 4735
% Current number of ordered equations: 0
% Current number of rules: 1059
% New rule produced :
% [1164]
% (eq)(apply(X,apply(apply(apply(s,apply(apply(s,Y),Z)),i),X)),apply(combinator,
% apply(apply(
% apply(s,i),
% apply(
% apply(Y,X),
% apply(Z,X))),X)))
% -> (false)
% Current number of equations to process: 4785
% Current number of ordered equations: 0
% Current number of rules: 1060
% New rule produced :
% [1165] apply(X,X) <-> apply(apply(apply(s,apply(apply(s,apply(s,i)),k)),i),X)
% Current number of equations to process: 4787
% Current number of ordered equations: 1
% Current number of rules: 1061
% New rule produced :
% [1166] apply(apply(apply(s,apply(apply(s,apply(s,i)),k)),i),X) <-> apply(X,X)
% Current number of equations to process: 4787
% Current number of ordered equations: 0
% Current number of rules: 1062
% New rule produced :
% [1167]
% apply(X,apply(apply(X,apply(b,X)),X)) <->
% apply(apply(apply(s,apply(apply(s,apply(s,i)),b)),i),X)
% Current number of equations to process: 4895
% Current number of ordered equations: 1
% Current number of rules: 1063
% New rule produced :
% [1168]
% apply(apply(apply(s,apply(apply(s,apply(s,i)),b)),i),X) <->
% apply(X,apply(apply(X,apply(b,X)),X))
% Current number of equations to process: 4895
% Current number of ordered equations: 0
% Current number of rules: 1064
% New rule produced :
% [1169]
% apply(apply(apply(X,Y),apply(X,Y)),Y) <->
% apply(apply(apply(s,apply(apply(apply(s,s),i),X)),i),Y)
% Current number of equations to process: 4894
% Current number of ordered equations: 1
% Current number of rules: 1065
% New rule produced :
% [1170]
% apply(apply(apply(s,apply(apply(apply(s,s),i),X)),i),Y) <->
% apply(apply(apply(X,Y),apply(X,Y)),Y)
% Current number of equations to process: 4894
% Current number of ordered equations: 0
% Current number of rules: 1066
% New rule produced :
% [1171]
% (eq)(apply(X,apply(apply(apply(Y,X),apply(Z,X)),X)),apply(combinator,
% apply(apply(apply(s,i),
% apply(apply(s,
% apply(
% apply(s,Y),Z)),i)),X)))
% -> (false)
% Current number of equations to process: 4913
% Current number of ordered equations: 0
% Current number of rules: 1067
% New rule produced :
% [1172]
% apply(apply(apply(s,Y),i),apply(X,Y)) <->
% apply(apply(apply(s,apply(apply(s,i),X)),X),Y)
% Current number of equations to process: 2270
% Current number of ordered equations: 1
% Current number of rules: 1068
% New rule produced :
% [1173]
% apply(apply(apply(s,apply(apply(s,i),X)),X),Y) <->
% apply(apply(apply(s,Y),i),apply(X,Y))
% Current number of equations to process: 2270
% Current number of ordered equations: 0
% Current number of rules: 1069
% New rule produced :
% [1174]
% (eq)(apply(apply(X,Y),apply(apply(apply(s,Y),i),apply(X,Y))),apply(combinator,
% apply(apply(
% apply(s,i),
% apply(
% apply(
% apply(s,i),X),Y)),
% apply(X,Y)))) ->
% (false)
% Current number of equations to process: 2321
% Current number of ordered equations: 0
% Current number of rules: 1070
% New rule produced :
% [1175]
% apply(apply(apply(s,X),apply(apply(s,apply(s,k)),i)),Y) <->
% apply(apply(X,Y),Y)
% Current number of equations to process: 2462
% Current number of ordered equations: 1
% Current number of rules: 1071
% New rule produced :
% [1176]
% apply(apply(X,Y),Y) <->
% apply(apply(apply(s,X),apply(apply(s,apply(s,k)),i)),Y)
% Current number of equations to process: 2462
% Current number of ordered equations: 0
% Current number of rules: 1072
% New rule produced :
% [1177]
% apply(apply(apply(s,Y),apply(apply(s,X),i)),Y) ->
% apply(apply(apply(apply(s,s),X),Y),Y)
% Current number of equations to process: 2461
% Current number of ordered equations: 0
% Current number of rules: 1073
% New rule produced :
% [1178]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(s,X),apply(apply(s,apply(k,Z)),i)),Y)
% Current number of equations to process: 2476
% Current number of ordered equations: 1
% Current number of rules: 1074
% New rule produced :
% [1179]
% apply(apply(apply(s,X),apply(apply(s,apply(k,Z)),i)),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 2476
% Current number of ordered equations: 0
% Current number of rules: 1075
% New rule produced :
% [1180]
% apply(apply(apply(s,X),i),apply(X,X)) <->
% apply(apply(apply(s,apply(s,apply(apply(s,i),X))),i),X)
% Current number of equations to process: 2492
% Current number of ordered equations: 1
% Current number of rules: 1076
% New rule produced :
% [1181]
% apply(apply(apply(s,apply(s,apply(apply(s,i),X))),i),X) <->
% apply(apply(apply(s,X),i),apply(X,X))
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 1077
% New rule produced :
% [1182]
% apply(apply(X,Y),apply(Z,apply(Y,Y))) <->
% apply(apply(apply(s,X),apply(apply(s,apply(b,Z)),Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------