%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : COL027-1 : TPTP v6.0.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n072.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 00:19:45 EDT 2014

% Result   : Unsatisfiable 6.44s
% Output   : Refutation 6.44s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : COL027-1 : TPTP v6.0.0. Released v1.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n072.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 17:56:53 CDT 2014
% % CPUTime  : 6.44 
% Processing problem /tmp/CiME_47590_n072.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " combinator,h,b : constant;  apply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z));
% apply(apply(apply(h,X),Y),Z) = apply(apply(apply(X,Y),Z),Y);
% ";
% 
% let s1 = status F "
% combinator lr_lex;
% h lr_lex;
% apply lr_lex;
% b lr_lex;
% ";
% 
% let p1 = precedence F "
% apply > b > h > combinator";
% 
% let s2 = status F "
% combinator mul;
% h mul;
% apply mul;
% b mul;
% ";
% 
% let p2 = precedence F "
% apply > b = h = 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(b,X),Y),Z) =
% apply(X,apply(Y,Z)),
% apply(apply(apply(h,X),Y),Z) =
% apply(apply(apply(X,Y),Z),Y) } (2 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% 
% [combinator] = 1;
% [h] = 2;
% [b] = 3;
% [apply](x1,x2) = 1 + x1 + x2;
% Chosen ordering : RPO
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { 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: 5
% 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: 4
% Current number of rules: 2
% New rule produced : [3] apply(X,apply(Y,Z)) <-> apply(apply(apply(b,X),Y),Z)
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 3
% New rule produced : [4] apply(apply(apply(b,X),Y),Z) <-> apply(X,apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 4
% New rule produced :
% [5] apply(apply(apply(X,Y),Z),Y) <-> apply(apply(apply(h,X),Y),Z)
% Current number of equations to process: 5
% Current number of ordered equations: 2
% Current number of rules: 5
% New rule produced :
% [6] apply(apply(apply(h,X),Y),Z) <-> apply(apply(apply(X,Y),Z),Y)
% Current number of equations to process: 5
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [7] (eq)(apply(X,Y),apply(apply(apply(b,combinator),X),Y)) -> (false)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(apply(apply(b,combinator),X),
% apply(Y,Z))) -> (false)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% (eq)(apply(X,apply(Y,Z)),apply(apply(apply(b,combinator),apply(apply(b,X),Y)),Z))
% -> (false)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% (eq)(apply(X,combinator),apply(apply(apply(h,b),combinator),X)) -> (false)
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [11]
% (eq)(apply(apply(apply(h,X),Y),Z),apply(apply(apply(b,combinator),apply(
% apply(X,Y),Z)),Y))
% -> (false)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% (eq)(apply(apply(apply(X,Y),Z),Y),apply(apply(apply(b,combinator),apply(
% apply(h,X),Y)),Z))
% -> (false)
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13]
% (eq)(apply(X,apply(Y,Z)),apply(apply(apply(apply(apply(b,b),apply(b,combinator)),X),Y),Z))
% -> (false)
% Current number of equations to process: 20
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced :
% [14]
% (eq)(apply(apply(X,Y),Z),apply(apply(apply(apply(apply(apply(b,b),b),combinator),X),Y),Z))
% -> (false)
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(combinator,apply(X,apply(Y,Z)))) ->
% (false)
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),X),Y),Z))
% -> (false)
% Current number of equations to process: 25
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [17]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),apply(apply(apply(b,combinator),
% apply(X,Y)),
% apply(Z,V_3))) ->
% (false)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),apply(apply(apply(b,combinator),X),
% apply(Y,apply(Z,V_3))))
% -> (false)
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [19]
% (eq)(apply(apply(apply(h,b),X),Y),apply(apply(apply(b,combinator),X),
% apply(Y,X))) -> (false)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% (eq)(apply(X,apply(Y,Z)),apply(combinator,apply(apply(apply(b,X),Y),Z))) ->
% (false)
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(b,Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22]
% (eq)(apply(X,apply(Y,Z)),apply(apply(apply(apply(apply(apply(b,b),b),combinator),
% apply(b,X)),Y),Z)) -> (false)
% Current number of equations to process: 29
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [23]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(Z,V_3))) -> (false)
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24]
% (eq)(apply(X,apply(Y,combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(b,X),Y))) -> (false)
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [25]
% (eq)(apply(b,combinator),apply(apply(apply(h,h),b),combinator)) -> (false)
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26]
% (eq)(apply(apply(apply(X,Y),combinator),Y),apply(apply(apply(h,b),combinator),
% apply(apply(h,X),Y))) -> (false)
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27]
% (eq)(apply(apply(X,Y),combinator),apply(apply(apply(apply(apply(b,b),
% apply(h,b)),combinator),X),Y))
% -> (false)
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [28]
% (eq)(apply(apply(apply(h,X),Y),Z),apply(combinator,apply(apply(apply(X,Y),Z),Y)))
% -> (false)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [29]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),Z),apply(apply(apply(b,combinator),
% apply(X,apply(Y,Z))),Y)) ->
% (false)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [30]
% (eq)(apply(apply(apply(h,h),X),Y),apply(apply(apply(b,combinator),apply(
% apply(X,Y),X)),Y))
% -> (false)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [31]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(h,X),Y),Z)),Z))
% -> (false)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [32]
% (eq)(apply(apply(apply(X,Y),Z),Y),apply(combinator,apply(apply(apply(h,X),Y),Z)))
% -> (false)
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [33]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(apply(apply(b,combinator),apply(
% apply(h,
% apply(b,X)),Y)),Z))
% -> (false)
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [34]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),apply(apply(apply(b,combinator),
% apply(apply(h,apply(X,Y)),Z)),Y))
% -> (false)
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [35]
% (eq)(apply(apply(apply(X,Y),X),Y),apply(apply(apply(b,combinator),apply(
% apply(h,h),X)),Y))
% -> (false)
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [36]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(Y,Z),V_3)))
% -> (false)
% Current number of equations to process: 54
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [37]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(b,X)),Y),Z),V_3),apply(
% apply(
% apply(b,combinator),X),
% apply(Y,
% apply(Z,V_3))))
% -> (false)
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [38]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),apply(apply(apply(b,combinator),X),
% apply(apply(apply(h,Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [39]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),apply(apply(apply(b,combinator),X),
% apply(apply(apply(Y,Z),V_3),Z)))
% -> (false)
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [40]
% (eq)(apply(apply(X,Y),apply(Z,V_3)),apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,b),X),Y),Z)),V_3))
% -> (false)
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [41]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(apply(apply(b,combinator),apply(
% apply(b,X),
% apply(
% apply(b,Y),Z))),V_3))
% -> (false)
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [42]
% (eq)(apply(apply(apply(h,X),Y),Z),apply(apply(apply(apply(apply(apply(b,b),b),combinator),
% apply(X,Y)),Z),Y)) -> (false)
% Current number of equations to process: 48
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [43]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),apply(apply(apply(b,combinator),
% apply(apply(
% apply(X,Y),Z),V_3)),Z))
% -> (false)
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [44]
% (eq)(apply(apply(apply(h,apply(apply(b,X),Y)),Z),V_3),apply(apply(apply(b,combinator),
% apply(apply(X,
% apply(Y,Z)),V_3)),Z))
% -> (false)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [45]
% (eq)(apply(apply(apply(X,Y),Z),Y),apply(apply(apply(apply(apply(apply(b,b),b),combinator),
% apply(h,X)),Y),Z)) -> (false)
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [46]
% (eq)(apply(X,apply(apply(b,combinator),Y)),apply(apply(apply(apply(h,
% apply(b,b)),
% apply(b,combinator)),X),Y))
% -> (false)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [47]
% (eq)(apply(apply(b,X),Y),apply(apply(apply(apply(apply(h,apply(b,b)),b),combinator),X),Y))
% -> (false)
% Current number of equations to process: 56
% Current number of ordered equations: 2
% Current number of rules: 47
% New rule produced :
% [48]
% (eq)(apply(apply(X,Y),X),apply(apply(apply(h,apply(apply(apply(b,b),b),combinator)),X),Y))
% -> (false)
% Current number of equations to process: 56
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [49]
% (eq)(apply(apply(X,combinator),Y),apply(apply(apply(apply(h,apply(apply(b,b),b)),combinator),X),Y))
% -> (false)
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [50]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),apply(combinator,apply(X,
% apply(apply(
% apply(b,Y),Z),V_3))))
% -> (false)
% Current number of equations to process: 60
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [51]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),apply(combinator,
% apply(apply(X,Y),
% apply(Z,V_3)))) ->
% (false)
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [52]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),apply(combinator,
% apply(X,apply(Y,
% apply(Z,V_3)))))
% -> (false)
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [53]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),apply(combinator,
% apply(X,apply(apply(
% apply(h,Y),Z),V_3))))
% -> (false)
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [54]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),apply(combinator,
% apply(X,apply(apply(
% apply(Y,Z),V_3),Z))))
% -> (false)
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [55]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3),apply(combinator,
% apply(X,
% apply(
% apply(Y,Z),V_3))))
% -> (false)
% Current number of equations to process: 57
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [56]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(b,X)),Y),Z),V_3),apply(combinator,
% apply(X,
% apply(Y,
% apply(Z,V_3)))))
% -> (false)
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [57]
% (eq)(apply(apply(apply(h,b),X),Y),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),X),Y),X))
% -> (false)
% Current number of equations to process: 65
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [58]
% (eq)(apply(apply(apply(b,X),Y),X),apply(apply(apply(h,apply(apply(b,b),
% apply(b,combinator))),X),Y))
% -> (false)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [59]
% (eq)(apply(apply(apply(b,X),apply(b,combinator)),Y),apply(apply(apply(
% apply(h,
% apply(b,b)),
% apply(b,combinator)),X),Y))
% -> (false)
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [60]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),apply(apply(apply(b,combinator),
% apply(X,b)),
% apply(Y,Z))) -> (false)
% Current number of equations to process: 76
% Current number of ordered equations: 2
% Current number of rules: 60
% New rule produced :
% [61]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),apply(apply(apply(b,combinator),
% apply(X,Y)),
% apply(X,Z))) -> (false)
% Current number of equations to process: 76
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [62]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),apply(apply(apply(b,combinator),
% apply(X,Y)),
% apply(Z,Y))) -> (false)
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [63]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(apply(apply(b,combinator),X),
% apply(Y,apply(Z,V_3)))) ->
% (false)
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [64]
% (eq)(apply(apply(apply(h,b),X),apply(apply(b,Y),Z)),apply(apply(apply(b,combinator),X),
% apply(Y,apply(Z,X)))) ->
% (false)
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [65]
% (eq)(apply(apply(apply(h,h),b),X),apply(apply(apply(b,combinator),X),
% apply(b,X))) -> (false)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [66]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(combinator,apply(apply(
% apply(b,X),Y),
% apply(Z,V_3))))
% -> (false)
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [67]
% (eq)(apply(apply(X,Y),apply(Z,V_3)),apply(combinator,apply(apply(apply(
% apply(
% apply(b,b),X),Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [68]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(combinator,apply(apply(apply(b,X),
% apply(apply(b,Y),Z)),V_3)))
% -> (false)
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [69]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),apply(combinator,apply(apply(
% apply(b,X),
% apply(
% apply(Y,Z),V_3)),Z)))
% -> (false)
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [70]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),apply(combinator,apply(apply(
% apply(b,X),
% apply(
% apply(h,Y),Z)),V_3)))
% -> (false)
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [71]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(h,b)),X),Y),Z),apply(apply(
% apply(b,combinator),X),
% apply(apply(Y,Z),X)))
% -> (false)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [72]
% (eq)(apply(apply(apply(h,b),X),apply(apply(h,Y),Z)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(Y,Z),X),Z)))
% -> (false)
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [73]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(combinator,apply(apply(apply(
% apply(
% apply(b,b),
% apply(b,X)),Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 91
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [74]
% (eq)(apply(X,apply(apply(Y,Z),V_3)),apply(combinator,apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),X),Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [75]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(apply(apply(b,combinator),X),
% apply(apply(apply(b,Y),Z),V_3))) ->
% (false)
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [76]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),apply(apply(apply(b,combinator),
% apply(apply(b,X),apply(
% apply(Y,Z),V_3))),Z))
% -> (false)
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [77]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),apply(apply(apply(b,combinator),
% apply(apply(b,X),apply(
% apply(h,Y),Z))),V_3))
% -> (false)
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [78]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(h,X)),Y),Z),V_3),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(X,Y),
% apply(Z,V_3))),Y))
% -> (false)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [79]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),apply(Y,Z)),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,X),
% apply(Y,Z))),V_3))
% -> (false)
% Current number of equations to process: 95
% Current number of ordered equations: 2
% Current number of rules: 79
% New rule produced :
% [80]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Y),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,X),Y)),
% apply(Z,V_3)))
% -> (false)
% Current number of equations to process: 95
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [81]
% (eq)(apply(apply(apply(apply(X,Y),Z),V_3),Z),apply(apply(apply(b,combinator),
% apply(apply(apply(
% apply(b,h),X),Y),Z)),V_3))
% -> (false)
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [82]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),apply(apply(apply(b,combinator),
% apply(apply(h,apply(
% apply(b,X),Y)),Z)),V_3))
% -> (false)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [83]
% (eq)(apply(X,apply(Y,Z)),apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),b),combinator),X),Y),Z))
% -> (false)
% Current number of equations to process: 92
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [84]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(apply(apply(apply(
% apply(b,b),
% apply(b,combinator)),X),Y),
% apply(Z,V_3))) -> (false)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [85]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),V_3),apply(apply(apply(apply(
% apply(
% apply(b,b),b),combinator),X),
% apply(Y,Z)),V_3)) ->
% (false)
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [86]
% (eq)(apply(apply(apply(h,b),apply(X,Y)),Z),apply(apply(apply(b,combinator),
% apply(X,Y)),apply(apply(
% apply(b,Z),X),Y)))
% -> (false)
% Current number of equations to process: 89
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [87]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),b),X),Y),Z),apply(apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(Z,
% apply(X,Y)))) ->
% (false)
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [88]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(b,X)),Y),Z),V_3),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(
% apply(b,Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [89]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,Y)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(h,b),Y),Z))) ->
% (false)
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [90]
% (eq)(apply(X,apply(combinator,Y)),apply(apply(apply(apply(h,apply(apply(b,b),b)),combinator),
% apply(b,X)),Y)) -> (false)
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [91]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(Z,V_3))) ->
% (false)
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [92]
% (eq)(apply(X,apply(apply(apply(h,b),Y),Z)),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(Z,Y))) -> (false)
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [93]
% (eq)(apply(X,apply(Y,combinator)),apply(apply(apply(apply(apply(b,b),
% apply(h,b)),combinator),
% apply(b,X)),Y)) -> (false)
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [94]
% (eq)(apply(apply(X,apply(Y,combinator)),Y),apply(apply(apply(h,b),combinator),
% apply(apply(h,apply(b,X)),Y))) ->
% (false)
% Current number of equations to process: 119
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [95]
% (eq)(apply(apply(apply(X,combinator),X),combinator),apply(apply(apply(h,b),combinator),
% apply(apply(h,h),X))) ->
% (false)
% Current number of equations to process: 120
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [96]
% (eq)(apply(apply(X,Y),apply(Z,combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(apply(apply(b,b),X),Y),Z)))
% -> (false)
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [97]
% (eq)(apply(X,apply(Y,apply(Z,combinator))),apply(apply(apply(h,b),combinator),
% apply(apply(b,X),apply(apply(b,Y),Z))))
% -> (false)
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [98]
% (eq)(apply(apply(apply(X,Y),combinator),Y),apply(apply(apply(apply(apply(b,b),
% apply(h,b)),combinator),
% apply(h,X)),Y)) -> (false)
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [99]
% (eq)(apply(apply(apply(h,b),X),combinator),apply(apply(apply(apply(h,
% apply(b,b)),
% apply(h,b)),combinator),X))
% -> (false)
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [100]
% (eq)(apply(apply(X,combinator),combinator),apply(apply(apply(apply(apply(b,h),
% apply(b,b)),
% apply(h,b)),combinator),X))
% -> (false)
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [101]
% (eq)(apply(apply(apply(h,X),combinator),Y),apply(apply(apply(apply(apply(b,b),
% apply(h,b)),combinator),
% apply(X,combinator)),Y)) ->
% (false)
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [102]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),Z),apply(combinator,apply(apply(X,
% apply(Y,Z)),Y)))
% -> (false)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [103]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),apply(combinator,
% apply(apply(apply(
% apply(X,Y),Z),V_3),Z)))
% -> (false)
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [104]
% (eq)(apply(apply(apply(h,apply(apply(b,X),Y)),Z),V_3),apply(combinator,
% apply(apply(apply(X,
% apply(Y,Z)),V_3),Z)))
% -> (false)
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [105]
% (eq)(apply(apply(apply(h,h),X),Y),apply(combinator,apply(apply(apply(X,Y),X),Y)))
% -> (false)
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [106]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),Y),apply(combinator,apply(apply(
% apply(
% apply(h,X),Y),Z),Z)))
% -> (false)
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [107]
% (eq)(apply(apply(apply(apply(apply(b,h),b),X),Y),Z),apply(apply(apply(b,combinator),
% apply(X,apply(Y,Z))),Y))
% -> (false)
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [108]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(h,X)),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(X,Y),
% apply(Z,V_3)),Y)))
% -> (false)
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [109]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Z)),Y),V_3),apply(combinator,
% apply(apply(apply(
% apply(
% apply(h,X),Y),Z),V_3),Y)))
% -> (false)
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [110]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),Y),apply(apply(apply(b,combinator),
% apply(X,apply(Y,Z))),Y)) ->
% (false)
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [111]
% (eq)(apply(apply(apply(h,h),h),X),apply(apply(apply(b,combinator),apply(
% apply(X,h),X)),h))
% -> (false)
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [112]
% (eq)(apply(apply(apply(h,h),X),Y),apply(apply(apply(apply(apply(apply(b,b),b),combinator),
% apply(X,Y)),X),Y)) -> (false)
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [113]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),Y),apply(apply(apply(b,combinator),
% apply(apply(
% apply(h,X),Y),Z)),Z))
% -> (false)
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [114]
% (eq)(apply(X,apply(apply(apply(Y,Z),combinator),Z)),apply(apply(apply(h,b),combinator),
% apply(apply(b,X),
% apply(apply(h,Y),Z)))) ->
% (false)
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [115]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),combinator),apply(Y,Z)),
% apply(apply(apply(h,b),combinator),apply(apply(h,X),apply(Y,Z)))) -> (false)
% Current number of equations to process: 152
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [116]
% (eq)(apply(apply(apply(apply(X,Y),Z),combinator),Z),apply(apply(apply(h,b),combinator),
% apply(apply(apply(
% apply(b,h),X),Y),Z)))
% -> (false)
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [117]
% (eq)(apply(apply(apply(X,apply(Y,Z)),combinator),Z),apply(apply(apply(h,b),combinator),
% apply(apply(h,apply(
% apply(b,X),Y)),Z)))
% -> (false)
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [118]
% (eq)(apply(apply(X,Y),combinator),apply(apply(apply(apply(apply(apply(
% apply(
% apply(b,b),b),b),h),b),combinator),X),Y))
% -> (false)
% Current number of equations to process: 149
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [119]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),combinator),apply(apply(apply(
% apply(
% apply(b,b),
% apply(h,b)),combinator),X),
% apply(Y,Z))) -> (false)
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [120]
% (eq)(apply(apply(apply(h,X),apply(Y,Z)),V_3),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,X),Y),Z),V_3),
% apply(Y,Z))))
% -> (false)
% Current number of equations to process: 146
% Current number of ordered equations: 2
% Current number of rules: 120
% New rule produced :
% [121]
% (eq)(apply(apply(apply(h,X),Y),apply(Z,V_3)),apply(combinator,apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),X),Y),Z),V_3),Y)))
% -> (false)
% Current number of equations to process: 146
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [122]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),X),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(X,
% apply(Y,Z)),V_3),
% apply(Y,Z))))
% -> (false)
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [123]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),Z),apply(apply(apply(apply(apply(
% apply(b,b),b),combinator),X),
% apply(Y,Z)),Y)) -> (false)
% Current number of equations to process: 144
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [124]
% (eq)(apply(apply(apply(h,apply(apply(apply(b,b),X),Y)),Z),V_3),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(X,Y),
% apply(Z,V_3))),Z))
% -> (false)
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [125]
% (eq)(apply(apply(apply(h,h),apply(h,X)),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(X,Y),
% apply(h,X)),Y)),Y)) ->
% (false)
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [126]
% (eq)(apply(apply(apply(apply(X,Y),X),Y),X),apply(apply(apply(b,combinator),
% apply(apply(apply(h,h),X),Y)),X))
% -> (false)
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [127]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(combinator,apply(apply(apply(h,
% apply(b,X)),Y),Z)))
% -> (false)
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [128]
% (eq)(apply(apply(apply(X,Y),X),Y),apply(combinator,apply(apply(apply(h,h),X),Y)))
% -> (false)
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [129]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),apply(combinator,apply(apply(
% apply(h,
% apply(X,Y)),Z),Y)))
% -> (false)
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [130]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Z),apply(apply(apply(b,combinator),
% apply(apply(apply(h,X),Y),Z)),Z))
% -> (false)
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [131]
% (eq)(apply(apply(apply(apply(X,Y),Z),V_3),Z),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,h),X),Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [132]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),apply(combinator,apply(apply(
% apply(h,
% apply(
% apply(b,X),Y)),Z),V_3)))
% -> (false)
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [133]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),apply(Y,Z)),apply(combinator,
% apply(
% apply(
% apply(h,X),
% apply(Y,Z)),V_3)))
% -> (false)
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [134]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Y),apply(combinator,
% apply(
% apply(
% apply(h,X),Y),
% apply(Z,V_3))))
% -> (false)
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [135]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),apply(combinator,
% apply(apply(apply(h,
% apply(
% apply(X,Y),Z)),Y),V_3)))
% -> (false)
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [136]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,h),b),X),Y)),Z))
% -> (false)
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [137]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),Y),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(h,X)),Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [138]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(b,h),X),Y),Z)),Y))
% -> (false)
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [139]
% (eq)(apply(apply(apply(apply(h,h),X),Y),X),apply(apply(apply(b,combinator),
% apply(apply(h,apply(X,Y)),X)),Y))
% -> (false)
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [140]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Y),apply(apply(apply(b,combinator),
% apply(apply(h,
% apply(X,Y)),Y)),Y))
% -> (false)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [141]
% (eq)(apply(apply(apply(X,h),X),h),apply(apply(apply(b,combinator),apply(
% apply(h,h),h)),X))
% -> (false)
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [142]
% (eq)(apply(apply(apply(X,Y),X),Y),apply(apply(apply(apply(apply(apply(b,b),b),combinator),
% apply(h,h)),X),Y)) -> (false)
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [143]
% (eq)(apply(apply(apply(apply(X,Y),apply(h,X)),Y),Y),apply(apply(apply(b,combinator),
% apply(apply(h,h),
% apply(h,X))),Y)) ->
% (false)
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [144]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),X),apply(Y,Z)),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,h),X)),
% apply(Y,Z))) ->
% (false)
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [145]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),b),X),Y),Z),apply(apply(
% apply(b,combinator),b),
% apply(apply(X,Y),Z)))
% -> (false)
% Current number of equations to process: 184
% Current number of ordered equations: 3
% Current number of rules: 145
% New rule produced :
% [146]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),b),X),Y),Z),apply(apply(
% apply(b,combinator),X),
% apply(apply(b,Y),Z)))
% -> (false)
% Current number of equations to process: 184
% Current number of ordered equations: 2
% Current number of rules: 146
% New rule produced :
% [147]
% (eq)(apply(apply(apply(apply(h,apply(apply(b,b),b)),X),Y),Z),apply(apply(
% apply(b,combinator),X),
% apply(apply(Y,X),Z)))
% -> (false)
% Current number of equations to process: 184
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [148]
% (eq)(apply(apply(apply(h,apply(apply(apply(b,b),b),X)),Y),Z),apply(apply(
% apply(b,combinator),X),
% apply(apply(Y,Z),Y)))
% -> (false)
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [149]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),apply(b,X)),Y),Z),apply(apply(
% apply(b,combinator),X),
% apply(Y,
% apply(apply(b,X),Z))))
% -> (false)
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [150]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(h,Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [151]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),Y)),Z),apply(apply(apply(b,combinator),X),
% apply(apply(apply(h,h),Y),Z)))
% -> (false)
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [152]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(Y,Z),V_3),Z)))
% -> (false)
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [153]
% (eq)(apply(apply(apply(b,X),apply(apply(h,apply(b,Y)),Z)),V_3),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(Y,
% apply(Z,V_3)),Z)))
% -> (false)
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [154]
% (eq)(apply(apply(apply(b,X),apply(apply(h,h),Y)),Z),apply(apply(apply(b,combinator),X),
% apply(apply(apply(Y,Z),Y),Z)))
% -> (false)
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [155]
% (eq)(apply(apply(X,b),apply(Y,Z)),apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(h,b),b),X),Y)),Z))
% -> (false)
% Current number of equations to process: 236
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [156]
% (eq)(apply(apply(X,Y),apply(X,Z)),apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,
% apply(b,b)),X),Y)),Z))
% -> (false)
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [157]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),apply(apply(apply(b,combinator),
% apply(apply(b,X),apply(
% apply(b,Y),Z))),V_3))
% -> (false)
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [158]
% (eq)(apply(apply(apply(h,X),Y),combinator),apply(apply(apply(apply(h,
% apply(apply(b,b),b)),combinator),
% apply(X,Y)),Y)) -> (false)
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [159]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,X)),Y),Z),V_3),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(X,
% apply(Y,Z)),V_3)),Z))
% -> (false)
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [160]
% (eq)(apply(apply(apply(apply(apply(h,b),h),X),Y),Z),apply(apply(apply(b,combinator),
% apply(apply(
% apply(X,h),Y),Z)),Y))
% -> (false)
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [161]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),X),Y),Z),apply(apply(
% apply(b,combinator),
% apply(
% apply(
% apply(X,Y),X),Z)),X))
% -> (false)
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [162]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Z),apply(apply(apply(b,combinator),
% apply(apply(
% apply(X,Y),Z),Y)),Y))
% -> (false)
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [163]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),Z),apply(apply(apply(b,combinator),
% apply(apply(X,
% apply(Y,Z)),V_3)),Z))
% -> (false)
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [164]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),combinator),X),Y),
% apply(Z,V_3))) ->
% (false)
% Current number of equations to process: 291
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [165]
% (eq)(apply(apply(apply(X,combinator),Y),combinator),apply(apply(apply(
% apply(h,
% apply(
% apply(b,b),b)),combinator),
% apply(h,X)),Y)) ->
% (false)
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [166]
% (eq)(apply(apply(apply(X,Y),apply(h,X)),Y),apply(apply(apply(h,apply(
% apply(
% apply(b,b),b),combinator)),
% apply(h,X)),Y)) -> (false)
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [167]
% (eq)(apply(X,apply(apply(b,combinator),Y)),apply(apply(apply(apply(apply(
% apply(b,h),b),b),
% apply(b,combinator)),X),Y))
% -> (false)
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [168]
% (eq)(apply(apply(b,b),apply(apply(b,combinator),X)),apply(apply(apply(
% apply(h,h),
% apply(b,b)),
% apply(b,combinator)),X))
% -> (false)
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [169]
% (eq)(apply(apply(b,X),Y),apply(apply(apply(apply(apply(apply(apply(b,h),b),b),b),combinator),X),Y))
% -> (false)
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [170]
% (eq)(apply(apply(b,b),X),apply(apply(apply(apply(apply(apply(b,h),h),
% apply(b,b)),b),combinator),X)) ->
% (false)
% Current number of equations to process: 304
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [171]
% (eq)(apply(apply(b,X),combinator),apply(apply(apply(apply(apply(b,h),
% apply(h,apply(b,b))),b),combinator),X))
% -> (false)
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [172]
% (eq)(apply(apply(X,Y),X),apply(apply(apply(apply(apply(b,h),apply(apply(b,b),b)),combinator),X),Y))
% -> (false)
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [173]
% (eq)(apply(apply(X,apply(apply(apply(b,b),b),combinator)),X),apply(apply(
% apply(h,h),
% apply(
% apply(
% apply(b,b),b),combinator)),X))
% -> (false)
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [174]
% (eq)(apply(apply(X,combinator),Y),apply(apply(apply(apply(apply(apply(b,h),
% apply(b,b)),b),combinator),X),Y))
% -> (false)
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [175]
% (eq)(apply(apply(apply(apply(b,b),b),combinator),X),apply(apply(apply(
% apply(h,h),
% apply(
% apply(b,b),b)),combinator),X))
% -> (false)
% Current number of equations to process: 316
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [176]
% (eq)(apply(apply(X,combinator),combinator),apply(apply(apply(apply(apply(b,h),h),
% apply(apply(b,b),b)),combinator),X))
% -> (false)
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [177]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),apply(combinator,apply(apply(
% apply(b,X),
% apply(
% apply(b,Y),Z)),V_3)))
% -> (false)
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [178]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(combinator,apply(X,apply(apply(
% apply(b,Y),Z),V_3))))
% -> (false)
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [179]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(b,X)),Y),Z),V_3),apply(combinator,
% apply(X,
% apply(
% apply(
% apply(b,Y),Z),V_3))))
% -> (false)
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [180]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,Y)),apply(combinator,apply(X,apply(
% apply(
% apply(h,b),Y),Z))))
% -> (false)
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [181]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),apply(combinator,
% apply(apply(X,b),
% apply(Y,Z)))) -> (false)
% Current number of equations to process: 336
% Current number of ordered equations: 2
% Current number of rules: 181
% New rule produced :
% [182]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),apply(combinator,
% apply(apply(X,Y),
% apply(X,Z)))) -> (false)
% Current number of equations to process: 336
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [183]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),apply(combinator,
% apply(apply(X,Y),
% apply(Z,Y)))) -> (false)
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [184]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),apply(combinator,
% apply(apply(apply(b,X),Y),
% apply(Z,V_3)))) ->
% (false)
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [185]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(combinator,apply(X,
% apply(Y,
% apply(Z,V_3)))))
% -> (false)
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [186]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),apply(combinator,apply(X,
% apply(apply(
% apply(h,Y),Z),V_3))))
% -> (false)
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [187]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),apply(combinator,
% apply(apply(apply(b,X),
% apply(apply(h,Y),Z)),V_3)))
% -> (false)
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [188]
% (eq)(apply(apply(apply(b,X),apply(Y,apply(Z,V_3))),Z),apply(combinator,
% apply(X,apply(apply(
% apply(h,
% apply(b,Y)),Z),V_3))))
% -> (false)
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [189]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),Y)),Z),apply(combinator,
% apply(X,apply(apply(
% apply(h,h),Y),Z))))
% -> (false)
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [190]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),apply(combinator,apply(X,
% apply(apply(
% apply(Y,Z),V_3),Z))))
% -> (false)
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [191]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),apply(combinator,
% apply(apply(apply(b,X),
% apply(apply(Y,Z),V_3)),Z)))
% -> (false)
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [192]
% (eq)(apply(apply(apply(b,X),apply(apply(h,apply(b,Y)),Z)),V_3),apply(combinator,
% apply(X,
% apply(
% apply(Y,
% apply(Z,V_3)),Z))))
% -> (false)
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [193]
% (eq)(apply(apply(apply(b,X),apply(apply(h,h),Y)),Z),apply(combinator,
% apply(X,apply(apply(
% apply(Y,Z),Y),Z))))
% -> (false)
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [194]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(b,X),
% apply(Y,Z)),V_3)))
% -> (false)
% Current number of equations to process: 374
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [195]
% (eq)(apply(apply(apply(apply(b,b),X),Y),Z),apply(apply(apply(apply(apply(h,
% apply(b,b)),b),combinator),
% apply(X,Y)),Z)) -> (false)
% Current number of equations to process: 376
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [196]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),X),apply(apply(apply(h,apply(
% apply(
% apply(b,b),b),combinator)),X),
% apply(Y,Z))) -> (false)
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [197]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),apply(V_3,V_4)),apply(combinator,
% apply(
% apply(X,Y),
% apply(
% apply(
% apply(b,Z),V_3),V_4))))
% -> (false)
% Current number of equations to process: 373
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [198]
% (eq)(apply(apply(apply(b,X),Y),apply(apply(apply(b,Z),V_3),V_4)),apply(combinator,
% apply(X,
% apply(
% apply(
% apply(b,Y),Z),
% apply(V_3,V_4)))))
% -> (false)
% Current number of equations to process: 373
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [199]
% (eq)(apply(apply(apply(apply(apply(b,b),X),apply(Y,Z)),V_3),V_4),apply(combinator,
% apply(
% apply(
% apply(
% apply(b,X),Y),Z),
% apply(V_3,V_4))))
% -> (false)
% Current number of equations to process: 371
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [200]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),apply(V_3,V_4)),apply(combinator,
% apply(X,
% apply(Y,
% apply(
% apply(
% apply(b,Z),V_3),V_4)))))
% -> (false)
% Current number of equations to process: 369
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [201]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(b,Y)),Z),V_3),
% apply(combinator,apply(X,apply(Y,apply(Z,V_3))))) -> (false)
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [202]
% (eq)(apply(apply(apply(b,X),apply(apply(apply(h,Y),Z),V_3)),V_3),apply(combinator,
% apply(X,
% apply(
% apply(
% apply(h,
% apply(Y,Z)),V_3),Z))))
% -> (false)
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [203]
% (eq)(apply(apply(apply(b,X),apply(apply(h,apply(Y,Z)),V_3)),Z),apply(combinator,
% apply(X,
% apply(
% apply(
% apply(
% apply(h,Y),Z),V_3),V_3))))
% -> (false)
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [204]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),b),X),Y),Z),apply(combinator,
% apply(X,
% apply(apply(b,Y),Z))))
% -> (false)
% Current number of equations to process: 368
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [205]
% (eq)(apply(apply(apply(h,apply(apply(apply(b,b),b),X)),Y),Z),apply(combinator,
% apply(X,
% apply(apply(Y,Z),Y))))
% -> (false)
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [206]
% (eq)(apply(apply(apply(h,b),X),Y),apply(apply(apply(h,apply(apply(b,b),
% apply(b,combinator))),X),Y))
% -> (false)
% Current number of equations to process: 388
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [207]
% (eq)(apply(apply(apply(h,h),b),X),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),X),b),X))
% -> (false)
% Current number of equations to process: 388
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [208]
% (eq)(apply(apply(apply(h,b),X),apply(b,combinator)),apply(apply(apply(
% apply(h,
% apply(b,b)),
% apply(b,combinator)),X),X))
% -> (false)
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [209]
% (eq)(apply(apply(apply(b,X),Y),X),apply(apply(apply(apply(apply(b,h),
% apply(b,b)),apply(b,combinator)),X),Y))
% -> (false)
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [210]
% (eq)(apply(apply(apply(b,X),apply(apply(b,b),apply(b,combinator))),X),
% apply(apply(apply(h,h),apply(apply(b,b),apply(b,combinator))),X)) -> (false)
% Current number of equations to process: 399
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [211]
% (eq)(apply(apply(apply(b,X),apply(b,combinator)),Y),apply(apply(apply(
% apply(
% apply(
% apply(b,h),b),b),
% apply(b,combinator)),X),Y))
% -> (false)
% Current number of equations to process: 397
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [212]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),b),combinator),Y),
% apply(apply(apply(apply(h,apply(b,b)),apply(b,combinator)),X),Y)) -> (false)
% Current number of equations to process: 397
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [213]
% (eq)(apply(apply(apply(apply(apply(h,h),b),b),X),Y),apply(apply(apply(b,combinator),
% apply(b,b)),
% apply(X,Y))) -> (false)
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [214]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),h),b),b),X),Y),apply(apply(
% apply(b,combinator),
% apply(X,b)),
% apply(b,Y))) ->
% (false)
% Current number of equations to process: 408
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [215]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(h,b)),b),X),Y),apply(apply(
% apply(b,combinator),
% apply(X,b)),
% apply(Y,X))) ->
% (false)
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [216]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),b),X),Y),Z),apply(apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(X,Z))) ->
% (false)
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [217]
% (eq)(apply(apply(apply(apply(h,h),apply(b,b)),X),Y),apply(apply(apply(b,combinator),
% apply(X,apply(b,b))),
% apply(X,Y))) -> (false)
% Current number of equations to process: 421
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [218]
% (eq)(apply(apply(apply(apply(apply(b,h),h),apply(b,b)),X),Y),apply(apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(X,X))) ->
% (false)
% Current number of equations to process: 421
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [219]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,b)),X),Y),Z),apply(apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(Z,Y))) ->
% (false)
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [220]
% (eq)(apply(apply(apply(h,b),X),apply(apply(b,Y),Z)),apply(combinator,
% apply(apply(apply(b,X),Y),
% apply(Z,X)))) -> (false)
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [221]
% (eq)(apply(apply(apply(h,h),h),b),apply(apply(apply(b,combinator),h),
% apply(b,h))) -> (false)
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [222]
% (eq)(apply(X,apply(apply(apply(h,b),Y),Z)),apply(combinator,apply(apply(
% apply(b,X),Y),
% apply(Z,Y)))) ->
% (false)
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [223]
% (eq)(apply(apply(X,b),apply(Y,Z)),apply(combinator,apply(apply(apply(
% apply(
% apply(h,b),b),X),Y),Z)))
% -> (false)
% Current number of equations to process: 478
% Current number of ordered equations: 2
% Current number of rules: 223
% New rule produced :
% [224]
% (eq)(apply(apply(X,Y),apply(X,Z)),apply(combinator,apply(apply(apply(
% apply(h,
% apply(b,b)),X),Y),Z)))
% -> (false)
% Current number of equations to process: 478
% Current number of ordered equations: 1
% Current number of rules: 224
% New rule produced :
% [225]
% (eq)(apply(apply(X,Y),apply(Z,Y)),apply(combinator,apply(apply(apply(h,
% apply(
% apply(b,b),X)),Y),Z)))
% -> (false)
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [226]
% (eq)(apply(X,apply(apply(apply(h,apply(b,Y)),Z),V_3)),apply(combinator,
% apply(apply(apply(b,X),
% apply(Y,apply(Z,V_3))),Z)))
% -> (false)
% Current number of equations to process: 497
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [227]
% (eq)(apply(X,apply(apply(apply(apply(apply(b,b),Y),Z),V_3),V_4)),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(Y,Z),
% apply(V_3,V_4))))
% -> (false)
% Current number of equations to process: 496
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [228]
% (eq)(apply(X,apply(apply(apply(b,Y),apply(apply(b,Z),V_3)),V_4)),apply(
% apply(
% apply(b,combinator),X),
% apply(Y,
% apply(Z,
% apply(V_3,V_4)))))
% -> (false)
% Current number of equations to process: 495
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [229]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(b,X)),Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 493
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [230]
% (eq)(apply(X,apply(apply(apply(apply(apply(b,b),Y),Z),V_3),V_4)),apply(combinator,
% apply(
% apply(
% apply(b,X),
% apply(Y,Z)),
% apply(V_3,V_4))))
% -> (false)
% Current number of equations to process: 493
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [231]
% (eq)(apply(X,apply(apply(apply(b,Y),apply(apply(b,Z),V_3)),V_4)),apply(combinator,
% apply(
% apply(
% apply(b,X),Y),
% apply(Z,
% apply(V_3,V_4)))))
% -> (false)
% Current number of equations to process: 492
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [232]
% (eq)(apply(X,apply(apply(apply(h,h),Y),Z)),apply(combinator,apply(apply(
% apply(b,X),
% apply(
% apply(Y,Z),Y)),Z)))
% -> (false)
% Current number of equations to process: 494
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [233]
% (eq)(apply(X,apply(apply(Y,apply(Z,V_3)),Z)),apply(combinator,apply(apply(
% apply(b,X),
% apply(
% apply(h,
% apply(b,Y)),Z)),V_3)))
% -> (false)
% Current number of equations to process: 503
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [234]
% (eq)(apply(X,apply(apply(apply(Y,Z),Y),Z)),apply(combinator,apply(apply(
% apply(b,X),
% apply(
% apply(h,h),Y)),Z)))
% -> (false)
% Current number of equations to process: 505
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [235]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),
% apply(apply(b,X),Y)),Z),V_3))
% -> (false)
% Current number of equations to process: 513
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [236]
% (eq)(apply(X,apply(apply(Y,Z),V_3)),apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(
% apply(b,b),b),X),Y),Z)),V_3))
% -> (false)
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [237]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Z)),Y),V_3),apply(apply(apply(b,combinator),
% apply(apply(
% apply(
% apply(h,X),Y),Z),V_3)),Y))
% -> (false)
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [238]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),apply(apply(apply(b,combinator),
% apply(apply(h,
% apply(
% apply(X,Y),Z)),Y)),V_3))
% -> (false)
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [239]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),X),
% apply(apply(b,Y),Z)),V_3)) ->
% (false)
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [240]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),apply(h,b)),X),Y),apply(apply(
% apply(b,combinator),X),
% apply(apply(
% apply(h,b),Y),X)))
% -> (false)
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [241]
% (eq)(apply(apply(apply(h,b),X),apply(apply(h,apply(b,Y)),Z)),apply(apply(
% apply(b,combinator),X),
% apply(apply(Y,
% apply(Z,X)),Z)))
% -> (false)
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [242]
% (eq)(apply(apply(apply(h,b),X),apply(apply(h,h),Y)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(Y,X),Y),X)))
% -> (false)
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [243]
% (eq)(apply(apply(apply(b,X),apply(Y,Z)),V_3),apply(combinator,apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),b),X),Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [244]
% (eq)(apply(X,apply(apply(b,Y),Z)),apply(combinator,apply(apply(apply(
% apply(
% apply(h,
% apply(b,b)),b),X),Y),Z)))
% -> (false)
% Current number of equations to process: 549
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [245]
% (eq)(apply(X,apply(apply(Y,Z),Y)),apply(combinator,apply(apply(apply(h,
% apply(
% apply(
% apply(b,b),b),X)),Y),Z)))
% -> (false)
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [246]
% (eq)(apply(apply(X,apply(Y,Z)),V_3),apply(apply(apply(apply(apply(apply(b,b),b),combinator),
% apply(apply(b,X),Y)),Z),V_3))
% -> (false)
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [247]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(apply(apply(apply(apply(apply(
% apply(
% apply(b,b),b),b),b),combinator),X),Y),Z))
% -> (false)
% Current number of equations to process: 571
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [248]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),apply(apply(apply(
% apply(
% apply(b,b),
% apply(b,combinator)),
% apply(X,Y)),Z),V_3))
% -> (false)
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [249]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),apply(apply(apply(
% apply(
% apply(b,b),
% apply(b,combinator)),X),Y),
% apply(Z,V_3))) ->
% (false)
% Current number of equations to process: 567
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [250]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(b,Y)),Z),V_3),
% apply(apply(apply(b,combinator),X),apply(Y,apply(Z,V_3)))) -> (false)
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [251]
% (eq)(apply(X,apply(apply(Y,Z),combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(apply(apply(apply(b,b),b),X),Y),Z)))
% -> (false)
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [252]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),combinator),Y),apply(apply(
% apply(h,b),combinator),
% apply(apply(h,
% apply(
% apply(X,Y),Z)),Y)))
% -> (false)
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [253]
% (eq)(apply(apply(X,apply(Y,Z)),combinator),apply(apply(apply(apply(apply(b,b),
% apply(h,b)),combinator),
% apply(apply(b,X),Y)),Z)) ->
% (false)
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [254]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),apply(Z,V_3)),apply(apply(apply(b,combinator),
% apply(X,apply(
% apply(
% apply(b,Y),Z),V_3))),Y))
% -> (false)
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [255]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),apply(Y,Z)),apply(combinator,
% apply(apply(apply(
% apply(
% apply(
% apply(b,b),h),X),Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 562
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [256]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(apply(apply(apply(apply(apply(b,b),b),combinator),
% apply(h,apply(b,X))),Y),Z)) ->
% (false)
% Current number of equations to process: 560
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [257]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),Y),apply(apply(apply(b,combinator),
% apply(apply(h,
% apply(b,X)),Y)),
% apply(Z,V_3))) ->
% (false)
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [258]
% (eq)(apply(apply(apply(b,X),apply(Y,apply(Z,V_3))),Z),apply(apply(apply(b,combinator),X),
% apply(apply(apply(h,
% apply(b,Y)),Z),V_3)))
% -> (false)
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [259]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,b),
% apply(b,X)),Y),Z)),V_3))
% -> (false)
% Current number of equations to process: 557
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [260]
% (eq)(apply(X,apply(apply(b,combinator),Y)),apply(apply(apply(apply(apply(
% apply(
% apply(b,b),h),
% apply(b,b)),b),combinator),X),Y))
% -> (false)
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [261]
% (eq)(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),apply(apply(apply(
% apply(
% apply(h,
% apply(b,b)),b),combinator),X),
% apply(Y,Z))) -> (false)
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [262]
% (eq)(apply(apply(apply(apply(apply(b,b),X),combinator),Y),Z),apply(apply(
% apply(
% apply(h,
% apply(
% apply(b,b),b)),combinator),X),
% apply(Y,Z))) ->
% (false)
% Current number of equations to process: 553
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [263]
% (eq)(apply(apply(X,apply(Y,combinator)),Z),apply(apply(apply(apply(h,
% apply(apply(b,b),b)),combinator),
% apply(apply(b,X),Y)),Z)) ->
% (false)
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [264]
% (eq)(apply(apply(apply(b,X),apply(Y,Z)),apply(V_3,V_4)),apply(combinator,
% apply(X,apply(
% apply(
% apply(
% apply(
% apply(b,b),Y),Z),V_3),V_4))))
% -> (false)
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [265]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,apply(V_3,V_4))),apply(combinator,
% apply(X,apply(
% apply(
% apply(b,Y),
% apply(
% apply(b,Z),V_3)),V_4))))
% -> (false)
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [266]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(apply(b,X),Y)),Z),V_3),V_4),
% apply(combinator,apply(apply(X,apply(Y,Z)),apply(V_3,V_4)))) -> (false)
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [267]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),apply(apply(b,Z),V_3)),V_4),
% apply(combinator,apply(apply(X,Y),apply(Z,apply(V_3,V_4))))) -> (false)
% Current number of equations to process: 547
% Current number of ordered equations: 1
% Current number of rules: 267
% New rule produced :
% [268]
% (eq)(apply(apply(apply(b,X),apply(apply(apply(apply(b,b),Y),Z),V_3)),V_4),
% apply(combinator,apply(X,apply(apply(Y,Z),apply(V_3,V_4))))) -> (false)
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [269]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),apply(apply(b,Z),V_3))),V_4),
% apply(combinator,apply(X,apply(Y,apply(Z,apply(V_3,V_4)))))) -> (false)
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [270]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(Y,Z)),V_3),Z),
% apply(combinator,apply(X,apply(apply(apply(h,Y),Z),V_3)))) -> (false)
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [271]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(h,Y)),Z),V_3),
% apply(combinator,apply(X,apply(apply(apply(Y,Z),V_3),Z)))) -> (false)
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [272]
% (eq)(apply(apply(apply(h,b),X),Y),apply(apply(apply(apply(apply(apply(
% apply(
% apply(b,b),b),b),b),combinator),X),Y),X))
% -> (false)
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [273]
% (eq)(apply(apply(apply(b,X),Y),X),apply(apply(apply(h,apply(apply(apply(
% apply(
% apply(b,b),b),b),b),combinator)),X),Y))
% -> (false)
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [274]
% (eq)(apply(apply(apply(b,X),apply(b,combinator)),apply(b,combinator)),
% apply(apply(apply(apply(apply(b,h),h),apply(b,b)),apply(b,combinator)),X)) ->
% (false)
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [275]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),combinator),X),b),
% apply(Y,Z))) -> (false)
% Current number of equations to process: 537
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [276]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),apply(apply(apply(
% apply(
% apply(b,b),
% apply(b,combinator)),
% apply(X,b)),Y),Z))
% -> (false)
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [277]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),combinator),X),Y),
% apply(X,Z))) -> (false)
% Current number of equations to process: 535
% Current number of ordered equations: 1
% Current number of rules: 277
% New rule produced :
% [278]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),apply(apply(apply(
% apply(
% apply(b,b),
% apply(b,combinator)),
% apply(X,Y)),X),Z))
% -> (false)
% Current number of equations to process: 535
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [279]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),combinator),X),Y),
% apply(Z,Y))) -> (false)
% Current number of equations to process: 533
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [280]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),apply(apply(apply(
% apply(
% apply(b,b),
% apply(b,combinator)),
% apply(X,Y)),Z),Y))
% -> (false)
% Current number of equations to process: 533
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [281]
% (eq)(apply(apply(apply(h,h),apply(apply(b,b),X)),Y),apply(apply(apply(b,combinator),
% apply(X,Y)),
% apply(apply(apply(b,b),X),Y)))
% -> (false)
% Current number of equations to process: 532
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [282]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),apply(V_3,V_4))),apply(apply(apply(b,combinator),X),
% apply(Y,apply(
% apply(
% apply(b,Z),V_3),V_4))))
% -> (false)
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [283]
% (eq)(apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(Z,apply(V_3,V_4))))
% -> (false)
% Current number of equations to process: 530
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [284]
% (eq)(apply(apply(apply(h,b),X),apply(apply(b,Y),Z)),apply(apply(apply(
% apply(
% apply(b,b),
% apply(b,combinator)),X),Y),
% apply(Z,X))) -> (false)
% Current number of equations to process: 528
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced :
% [285]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(h,b)),X),apply(b,Y)),Z),
% apply(apply(apply(b,combinator),X),apply(Y,apply(Z,X)))) -> (false)
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [286]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),apply(V_3,V_4))),apply(combinator,
% apply(apply(apply(b,X),Y),
% apply(apply(apply(b,Z),V_3),V_4))))
% -> (false)
% Current number of equations to process: 525
% Current number of ordered equations: 2
% Current number of rules: 286
% New rule produced :
% [287]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),apply(V_3,V_4)),apply(combinator,
% apply(apply(apply(
% apply(
% apply(b,b),X),
% apply(Y,Z)),V_3),V_4)))
% -> (false)
% Current number of equations to process: 525
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [288]
% (eq)(apply(apply(X,Y),apply(apply(apply(b,Z),V_3),V_4)),apply(combinator,
% apply(apply(apply(
% apply(
% apply(b,b),X),Y),Z),
% apply(V_3,V_4)))) ->
% (false)
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [289]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(combinator,apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),X),
% apply(b,Y)),Z),V_3)))
% -> (false)
% Current number of equations to process: 523
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [290]
% (eq)(apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))),apply(combinator,
% apply(apply(apply(b,X),
% apply(apply(b,Y),Z)),
% apply(V_3,V_4)))) ->
% (false)
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [291]
% (eq)(apply(X,apply(apply(apply(h,apply(Y,Z)),V_3),Z)),apply(combinator,
% apply(apply(apply(b,X),
% apply(apply(
% apply(h,Y),Z),V_3)),V_3)))
% -> (false)
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [292]
% (eq)(apply(X,apply(apply(apply(apply(h,Y),Z),V_3),V_3)),apply(combinator,
% apply(apply(apply(b,X),
% apply(apply(h,
% apply(Y,Z)),V_3)),Z)))
% -> (false)
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [293]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(h,b)),X),Y),
% apply(apply(apply(b,combinator),X),apply(apply(Y,X),X))) -> (false)
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [294]
% (eq)(apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))),apply(apply(apply(b,combinator),X),
% apply(apply(apply(b,Y),Z),
% apply(V_3,V_4)))) ->
% (false)
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [295]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),apply(apply(apply(b,combinator),
% apply(apply(b,X),
% apply(apply(Y,Z),V_3))),Z))
% -> (false)
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [296]
% (eq)(apply(X,apply(apply(apply(h,apply(b,Y)),Z),V_3)),apply(apply(apply(b,combinator),
% apply(apply(b,X),
% apply(Y,apply(Z,V_3)))),Z))
% -> (false)
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [297]
% (eq)(apply(X,apply(apply(apply(h,h),Y),Z)),apply(apply(apply(b,combinator),
% apply(apply(b,X),apply(
% apply(Y,Z),Y))),Z))
% -> (false)
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [298]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),apply(apply(apply(b,combinator),
% apply(apply(b,X),
% apply(apply(h,Y),Z))),V_3))
% -> (false)
% Current number of equations to process: 527
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [299]
% (eq)(apply(X,apply(apply(apply(Y,Z),Y),Z)),apply(apply(apply(b,combinator),
% apply(apply(b,X),apply(
% apply(h,h),Y))),Z))
% -> (false)
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [300]
% (eq)(apply(apply(apply(apply(apply(h,b),X),Y),Z),apply(Y,X)),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,X),
% apply(Y,X))),Z))
% -> (false)
% Current number of equations to process: 559
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [301]
% (eq)(apply(apply(apply(apply(h,apply(b,X)),Y),Z),apply(Y,Z)),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,X),
% apply(Y,Z))),Y))
% -> (false)
% Current number of equations to process: 559
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [302]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),b),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,X),b)),
% apply(Y,Z))) ->
% (false)
% Current number of equations to process: 573
% Current number of ordered equations: 3
% Current number of rules: 302
% New rule produced :
% [303]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,X),Y)),
% apply(X,Z))) ->
% (false)
% Current number of equations to process: 573
% Current number of ordered equations: 2
% Current number of rules: 303
% New rule produced :
% [304]
% (eq)(apply(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,X),Y)),
% apply(Z,Y))) ->
% (false)
% Current number of equations to process: 573
% Current number of ordered equations: 1
% Current number of rules: 304
% New rule produced :
% [305]
% (eq)(apply(apply(apply(h,apply(apply(apply(b,b),X),Y)),Y),Z),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,X),Y)),
% apply(Y,Z))) ->
% (false)
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [306]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),V_3),apply(apply(apply(b,combinator),
% apply(apply(apply(
% apply(b,h),X),Y),Z)),V_3))
% -> (false)
% Current number of equations to process: 588
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [307]
% (eq)(apply(apply(apply(apply(X,h),Y),Z),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(h,b),h),X),Y)),Z))
% -> (false)
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [308]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(b,h),h),X),Y)),Z))
% -> (false)
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [309]
% (eq)(apply(X,apply(Y,Z)),apply(apply(apply(apply(apply(apply(apply(apply(h,b),b),b),b),combinator),X),Y),Z))
% -> (false)
% Current number of equations to process: 609
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [310]
% (eq)(apply(X,apply(combinator,Y)),apply(apply(apply(apply(h,apply(apply(
% apply(
% apply(b,b),b),b),b)),combinator),X),Y))
% -> (false)
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [311]
% (eq)(apply(X,apply(apply(apply(h,b),Y),Z)),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),X),Y),
% apply(Z,Y))) -> (false)
% Current number of equations to process: 622
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [312]
% (eq)(apply(apply(apply(apply(h,b),X),Y),Z),apply(apply(apply(apply(apply(
% apply(b,b),b),combinator),X),
% apply(Y,X)),Z)) -> (false)
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [313]
% (eq)(apply(apply(apply(h,b),apply(X,Y)),Y),apply(apply(apply(b,combinator),
% apply(X,Y)),apply(apply(
% apply(h,b),Y),X)))
% -> (false)
% Current number of equations to process: 649
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [314]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),h),X),Y),Z),apply(apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(Z,
% apply(X,Y)))) ->
% (false)
% Current number of equations to process: 668
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [315]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),h),b),X),Y),apply(apply(
% apply(b,combinator),
% apply(h,X)),
% apply(Y,
% apply(h,X)))) ->
% (false)
% Current number of equations to process: 668
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [316]
% (eq)(apply(apply(apply(h,apply(apply(b,b),apply(b,X))),Y),Z),apply(apply(
% apply(b,combinator),X),
% apply(apply(
% apply(b,Y),Z),Y)))
% -> (false)
% Current number of equations to process: 682
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [317]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(b,X)),Y),Z),Y),apply(apply(
% apply(b,combinator),X),
% apply(apply(
% apply(h,b),Y),Z)))
% -> (false)
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [318]
% (eq)(apply(apply(apply(b,X),Y),apply(b,Y)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(h,h),b),Y))) ->
% (false)
% Current number of equations to process: 691
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [319]
% (eq)(apply(X,apply(combinator,Y)),apply(apply(apply(apply(apply(apply(b,h),
% apply(b,b)),b),combinator),
% apply(b,X)),Y)) -> (false)
% Current number of equations to process: 696
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [320]
% (eq)(apply(X,apply(combinator,combinator)),apply(apply(apply(apply(apply(b,h),h),
% apply(apply(b,b),b)),combinator),
% apply(b,X))) -> (false)
% Current number of equations to process: 696
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [321]
% (eq)(apply(apply(apply(h,b),X),apply(apply(b,Y),Z)),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(Z,X))) -> (false)
% Current number of equations to process: 707
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [322]
% (eq)(apply(apply(apply(b,X),apply(apply(h,b),Y)),Z),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(Z,Y))) -> (false)
% Current number of equations to process: 715
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [323]
% (eq)(apply(X,apply(apply(apply(h,h),b),Y)),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(b,Y))) -> (false)
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [324]
% (eq)(apply(X,apply(combinator,combinator)),apply(apply(apply(apply(apply(b,h),
% apply(b,b)),
% apply(h,b)),combinator),
% apply(b,X))) -> (false)
% Current number of equations to process: 724
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [325]
% (eq)(apply(apply(X,apply(Y,combinator)),Y),apply(apply(apply(h,b),combinator),
% apply(apply(apply(apply(b,h),b),X),Y)))
% -> (false)
% Current number of equations to process: 730
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [326]
% (eq)(apply(apply(apply(combinator,h),combinator),h),apply(apply(apply(h,b),combinator),
% apply(apply(h,h),h))) ->
% (false)
% Current number of equations to process: 737
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [327]
% (eq)(apply(apply(apply(X,combinator),X),combinator),apply(apply(apply(
% apply(
% apply(b,b),
% apply(h,b)),combinator),
% apply(h,h)),X)) ->
% (false)
% Current number of equations to process: 736
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [328]
% (eq)(apply(apply(apply(apply(X,combinator),apply(h,X)),combinator),combinator),
% apply(apply(apply(h,b),combinator),apply(apply(h,h),apply(h,X)))) -> (false)
% Current number of equations to process: 735
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [329]
% (eq)(apply(apply(X,b),apply(Y,combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(apply(apply(h,b),b),X),Y)))
% -> (false)
% Current number of equations to process: 745
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [330]
% (eq)(apply(apply(X,Y),apply(X,combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(apply(h,apply(b,b)),X),Y)))
% -> (false)
% Current number of equations to process: 745
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [331]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(b,X),
% apply(apply(b,Y),Z)))) ->
% (false)
% Current number of equations to process: 753
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [332]
% (eq)(apply(apply(apply(b,X),combinator),X),apply(apply(apply(apply(h,
% apply(b,b)),
% apply(h,b)),combinator),X))
% -> (false)
% Current number of equations to process: 766
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [333]
% (eq)(apply(apply(apply(h,b),X),combinator),apply(apply(apply(apply(apply(
% apply(b,h),b),b),
% apply(h,b)),combinator),X))
% -> (false)
% Current number of equations to process: 769
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [334]
% (eq)(apply(apply(apply(h,h),X),combinator),apply(apply(apply(apply(apply(b,b),
% apply(h,b)),combinator),
% apply(X,combinator)),X)) ->
% (false)
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [335]
% (eq)(apply(apply(apply(apply(apply(b,h),b),X),Y),Z),apply(combinator,
% apply(apply(X,apply(Y,Z)),Y)))
% -> (false)
% Current number of equations to process: 791
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [336]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),Y),apply(combinator,apply(apply(X,
% apply(Y,Z)),Y)))
% -> (false)
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [337]
% (eq)(apply(apply(apply(h,apply(apply(apply(b,b),X),Y)),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(X,Y),
% apply(Z,V_3)),Z)))
% -> (false)
% Current number of equations to process: 802
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [338]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),apply(Z,V_3)),apply(combinator,
% apply(apply(X,apply(
% apply(
% apply(b,Y),Z),V_3)),Y)))
% -> (false)
% Current number of equations to process: 802
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [339]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,X)),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(X,
% apply(Y,Z)),V_3),Z)))
% -> (false)
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [340]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),apply(combinator,
% apply(apply(apply(h,
% apply(X,Y)),Z),V_3)))
% -> (false)
% Current number of equations to process: 805
% Current number of ordered equations: 2
% Current number of rules: 340
% New rule produced :
% [341]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),Y),apply(combinator,
% apply(apply(apply(
% apply(h,X),Y),Z),Z)))
% -> (false)
% Current number of equations to process: 805
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [342]
% (eq)(apply(apply(apply(apply(apply(h,b),h),X),Y),Z),apply(combinator,
% apply(apply(apply(
% apply(X,h),Y),Z),Y)))
% -> (false)
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [343]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),X),Y),Z),apply(combinator,
% apply(apply(
% apply(
% apply(X,Y),X),Z),X)))
% -> (false)
% Current number of equations to process: 804
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [344]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Z),apply(combinator,
% apply(apply(apply(
% apply(X,Y),Z),Y),Y)))
% -> (false)
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [345]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),Z),apply(combinator,
% apply(apply(apply(X,
% apply(Y,Z)),V_3),Z)))
% -> (false)
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [346]
% (eq)(apply(apply(apply(h,h),h),X),apply(combinator,apply(apply(apply(X,h),X),h)))
% -> (false)
% Current number of equations to process: 822
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [347]
% (eq)(apply(apply(apply(h,h),apply(h,X)),Y),apply(combinator,apply(apply(
% apply(
% apply(X,Y),
% apply(h,X)),Y),Y)))
% -> (false)
% Current number of equations to process: 823
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [348]
% (eq)(apply(apply(apply(apply(X,Y),X),Y),X),apply(combinator,apply(apply(
% apply(
% apply(h,h),X),Y),X)))
% -> (false)
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [349]
% (eq)(apply(apply(apply(apply(X,Y),Y),Y),Y),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,h),h),X),Y),Y)))
% -> (false)
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [350]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Z),apply(combinator,apply(apply(
% apply(
% apply(h,X),Y),Z),Z)))
% -> (false)
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [351]
% (eq)(apply(apply(apply(apply(apply(h,b),h),b),X),Y),apply(apply(apply(b,combinator),
% apply(h,apply(X,Y))),X))
% -> (false)
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [352]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),b),X),Y),apply(apply(
% apply(b,combinator),
% apply(X,
% apply(b,Y))),b))
% -> (false)
% Current number of equations to process: 842
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [353]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(X,Y)),Z),Y),V_3),apply(combinator,
% apply(
% apply(
% apply(
% apply(
% apply(h,X),Y),Z),V_3),Y)))
% -> (false)
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [354]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(h,X)),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(
% apply(
% apply(X,Y),Z),Y),V_3),Z)))
% -> (false)
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [355]
% (eq)(apply(apply(apply(h,h),X),apply(Y,Z)),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,X),Y),Z),X),
% apply(Y,Z)))) ->
% (false)
% Current number of equations to process: 849
% Current number of ordered equations: 2
% Current number of rules: 355
% New rule produced :
% [356]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),h),X),Y),Z),apply(combinator,
% apply(apply(
% apply(
% apply(X,Y),Z),
% apply(X,Y)),Z)))
% -> (false)
% Current number of equations to process: 849
% Current number of ordered equations: 1
% Current number of rules: 356
% New rule produced :
% [357]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(h,h)),X),Y),Z),apply(combinator,
% apply(apply(
% apply(X,
% apply(Y,Z)),X),
% apply(Y,Z)))) ->
% (false)
% Current number of equations to process: 849
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [358]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),apply(h,X)),Y),Z),apply(combinator,
% apply(apply(
% apply(X,Y),
% apply(
% apply(h,X),Z)),Y)))
% -> (false)
% Current number of equations to process: 851
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [359]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),X)),Y),Z),apply(combinator,
% apply(apply(apply(
% apply(
% apply(h,h),X),Y),Z),Y)))
% -> (false)
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [360]
% (eq)(apply(apply(apply(apply(apply(X,Y),Z),Y),V_3),Y),apply(combinator,
% apply(apply(apply(
% apply(
% apply(h,X),Y),Z),V_3),Y)))
% -> (false)
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [361]
% (eq)(apply(apply(apply(h,h),h),X),apply(apply(apply(apply(apply(apply(b,b),b),combinator),
% apply(X,h)),X),h)) -> (false)
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [362]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Z),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(X,Y),
% apply(Z,V_3))),Z))
% -> (false)
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [363]
% (eq)(apply(apply(apply(apply(apply(h,b),h),X),Y),h),apply(apply(apply(b,combinator),
% apply(apply(
% apply(h,X),h),Y)),Y))
% -> (false)
% Current number of equations to process: 901
% Current number of ordered equations: 1
% Current number of rules: 363
% New rule produced :
% [364]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),X),Y),apply(apply(apply(b,combinator),
% apply(apply(
% apply(h,h),X),Y)),X))
% -> (false)
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [365]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),X),Y),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(
% apply(h,X),Y),X)),X))
% -> (false)
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [366]
% (eq)(apply(apply(X,apply(Y,combinator)),Y),apply(apply(apply(apply(apply(b,b),
% apply(h,b)),combinator),
% apply(h,apply(b,X))),Y)) ->
% (false)
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [367]
% (eq)(apply(X,apply(Y,apply(Z,combinator))),apply(apply(apply(h,b),combinator),
% apply(apply(apply(apply(b,b),
% apply(b,X)),Y),Z))) ->
% (false)
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [368]
% (eq)(apply(apply(apply(X,combinator),combinator),combinator),apply(apply(
% apply(
% apply(
% apply(b,h),
% apply(b,b)),
% apply(h,b)),combinator),
% apply(h,X))) ->
% (false)
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [369]
% (eq)(apply(apply(apply(h,b),X),combinator),apply(apply(apply(apply(apply(
% apply(
% apply(b,b),h),
% apply(b,b)),h),b),combinator),X))
% -> (false)
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [370]
% (eq)(apply(apply(apply(h,X),combinator),combinator),apply(apply(apply(
% apply(
% apply(b,h),
% apply(b,b)),
% apply(h,b)),combinator),
% apply(X,combinator))) ->
% (false)
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [371]
% (eq)(apply(apply(apply(h,h),apply(apply(b,X),Y)),Z),apply(combinator,
% apply(apply(apply(X,
% apply(Y,Z)),
% apply(apply(b,X),Y)),Z)))
% -> (false)
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [372]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Z)),V_3),Z),apply(combinator,
% apply(apply(apply(
% apply(
% apply(
% apply(b,h),X),Y),Z),V_3),V_3)))
% -> (false)
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [373]
% (eq)(apply(apply(apply(h,apply(X,apply(Y,Z))),V_3),Z),apply(combinator,
% apply(apply(apply(
% apply(h,
% apply(
% apply(b,X),Y)),Z),V_3),V_3)))
% -> (false)
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [374]
% (eq)(apply(apply(apply(apply(apply(b,h),b),X),Y),Z),apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),combinator),X),
% apply(Y,Z)),Y)) ->
% (false)
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [375]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(h,X)),Y),Z),
% apply(combinator,apply(apply(apply(X,Y),apply(Z,Y)),Y))) -> (false)
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [376]
% (eq)(apply(apply(apply(h,apply(X,apply(Y,Z))),Y),V_3),apply(combinator,
% apply(apply(apply(
% apply(
% apply(h,
% apply(b,X)),Y),Z),V_3),Y)))
% -> (false)
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [377]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Y)),Y),Z),apply(combinator,
% apply(apply(apply(
% apply(
% apply(b,h),
% apply(h,X)),Y),Y),Z)))
% -> (false)
% Current number of equations to process: 894
% Current number of ordered equations: 1
% Current number of rules: 377
% New rule produced :
% [378]
% (eq)(apply(apply(apply(apply(apply(X,Y),Z),Y),Y),Y),apply(combinator,
% apply(apply(apply(
% apply(
% apply(
% apply(b,h),h),X),Y),Z),Y)))
% -> (false)
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [379]
% (eq)(apply(apply(apply(apply(b,X),Y),apply(Z,V_3)),Y),apply(apply(apply(b,combinator),
% apply(X,apply(
% apply(
% apply(b,Y),Z),V_3))),Y))
% -> (false)
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [380]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),combinator)),Z),apply(apply(
% apply(h,b),combinator),
% apply(apply(b,X),
% apply(apply(h,Y),Z))))
% -> (false)
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [381]
% (eq)(apply(X,apply(apply(apply(Y,combinator),Y),combinator)),apply(apply(
% apply(h,b),combinator),
% apply(apply(b,X),
% apply(apply(h,h),Y))))
% -> (false)
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [382]
% (eq)(apply(apply(apply(apply(apply(h,b),X),Y),combinator),apply(Y,X)),
% apply(apply(apply(h,b),combinator),apply(apply(h,X),apply(Y,X)))) -> (false)
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [383]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),combinator),apply(apply(apply(h,b),combinator),
% apply(apply(apply(
% apply(b,h),X),Y),Z)))
% -> (false)
% Current number of equations to process: 920
% Current number of ordered equations: 1
% Current number of rules: 383
% New rule produced :
% [384]
% (eq)(apply(apply(apply(apply(X,h),Y),combinator),Y),apply(apply(apply(h,b),combinator),
% apply(apply(apply(
% apply(h,b),h),X),Y)))
% -> (false)
% Current number of equations to process: 920
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [385]
% (eq)(apply(apply(apply(apply(X,Y),combinator),Y),Y),apply(apply(apply(h,b),combinator),
% apply(apply(apply(
% apply(b,h),h),X),Y)))
% -> (false)
% Current number of equations to process: 922
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [386]
% (eq)(apply(apply(X,Y),combinator),apply(apply(apply(apply(apply(apply(
% apply(
% apply(h,b),b),b),h),b),combinator),X),Y))
% -> (false)
% Current number of equations to process: 940
% Current number of ordered equations: 1
% Current number of rules: 386
% New rule produced :
% [387]
% (eq)(apply(apply(X,Y),combinator),apply(apply(apply(apply(apply(apply(h,
% apply(
% apply(b,b),b)),b),h),combinator),X),Y))
% -> (false)
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [388]
% (eq)(apply(apply(apply(apply(h,b),X),Y),combinator),apply(apply(apply(
% apply(
% apply(b,b),
% apply(h,b)),combinator),X),
% apply(Y,X))) -> (false)
% Current number of equations to process: 950
% Current number of ordered equations: 1
% Current number of rules: 388
% New rule produced :
% [389]
% (eq)(apply(apply(apply(h,apply(b,X)),combinator),Y),apply(apply(apply(
% apply(
% apply(b,b),
% apply(h,b)),combinator),X),
% apply(combinator,Y))) ->
% (false)
% Current number of equations to process: 950
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [390]
% (eq)(apply(apply(apply(h,X),apply(Y,X)),Z),apply(combinator,apply(apply(
% apply(
% apply(
% apply(h,b),X),Y),Z),
% apply(Y,X)))) ->
% (false)
% Current number of equations to process: 966
% Current number of ordered equations: 1
% Current number of rules: 390
% New rule produced :
% [391]
% (eq)(apply(apply(apply(h,X),apply(Y,Z)),Y),apply(combinator,apply(apply(
% apply(
% apply(h,
% apply(b,X)),Y),Z),
% apply(Y,Z)))) ->
% (false)
% Current number of equations to process: 966
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [392]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),apply(Y,Z)),apply(combinator,
% apply(apply(apply(
% apply(
% apply(b,X),Y),Z),V_3),
% apply(Y,Z)))) ->
% (false)
% Current number of equations to process: 979
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [393]
% (eq)(apply(apply(apply(X,b),apply(Y,Z)),b),apply(combinator,apply(apply(
% apply(
% apply(
% apply(
% apply(h,b),b),X),Y),Z),b)))
% -> (false)
% Current number of equations to process: 981
% Current number of ordered equations: 3
% Current number of rules: 393
% New rule produced :
% [394]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),Y),apply(combinator,apply(apply(
% apply(
% apply(h,
% apply(
% apply(b,b),X)),Y),Z),Y)))
% -> (false)
% Current number of equations to process: 981
% Current number of ordered equations: 2
% Current number of rules: 394
% New rule produced :
% [395]
% (eq)(apply(apply(apply(h,X),Y),apply(X,Z)),apply(combinator,apply(apply(
% apply(
% apply(
% apply(h,
% apply(b,b)),X),Y),Z),Y)))
% -> (false)
% Current number of equations to process: 981
% Current number of ordered equations: 1
% Current number of rules: 395
% New rule produced :
% [396]
% (eq)(apply(apply(apply(X,Y),apply(Y,Z)),Y),apply(combinator,apply(apply(
% apply(h,
% apply(
% apply(
% apply(b,b),X),Y)),Y),Z)))
% -> (false)
% Current number of equations to process: 981
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [397]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),Y),apply(combinator,apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),X),Y),Z),V_3),Y)))
% -> (false)
% Current number of equations to process: 982
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [398]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),X),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(h,X),
% apply(Y,Z)),V_3)))
% -> (false)
% Current number of equations to process: 1001
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [399]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),h),X),Y),Z),apply(combinator,
% apply(apply(
% apply(X,
% apply(h,Y)),Z),
% apply(h,Y)))) ->
% (false)
% Current number of equations to process: 1000
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [400]
% (eq)(apply(apply(apply(h,apply(b,b)),X),Y),apply(apply(apply(apply(apply(h,
% apply(b,b)),b),combinator),
% apply(X,Y)),X)) -> (false)
% Current number of equations to process: 1014
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [401]
% (eq)(apply(apply(apply(apply(h,X),Y),X),X),apply(apply(apply(b,combinator),
% apply(apply(apply(h,h),X),Y)),X))
% -> (false)
% Current number of equations to process: 1050
% Current number of ordered equations: 1
% Current number of rules: 401
% New rule produced :
% [402]
% (eq)(apply(apply(apply(apply(X,h),X),h),X),apply(apply(apply(b,combinator),
% apply(apply(apply(h,h),h),X)),X))
% -> (false)
% Current number of equations to process: 1050
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [403]
% (eq)(apply(apply(apply(apply(X,h),X),h),h),apply(apply(apply(b,combinator),
% apply(apply(apply(h,h),h),X)),h))
% -> (false)
% Current number of equations to process: 1052
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [404]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(combinator,apply(apply(apply(
% apply(
% apply(b,h),b),X),Y),Z)))
% -> (false)
% Current number of equations to process: 1057
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [405]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(combinator,apply(apply(apply(
% apply(b,X),Y),Z),Y)))
% -> (false)
% Current number of equations to process: 1060
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [406]
% (eq)(apply(apply(apply(X,h),X),h),apply(combinator,apply(apply(apply(h,h),h),X)))
% -> (false)
% Current number of equations to process: 1067
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [407]
% (eq)(apply(apply(apply(apply(X,Y),apply(h,X)),Y),Y),apply(combinator,
% apply(apply(apply(h,h),
% apply(h,X)),Y))) ->
% (false)
% Current number of equations to process: 1068
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [408]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,h),X),Y),Z),Y)))
% -> (false)
% Current number of equations to process: 1075
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [409]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),Y),apply(combinator,
% apply(apply(apply(h,
% apply(b,X)),Y),
% apply(Z,V_3)))) ->
% (false)
% Current number of equations to process: 1075
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [410]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),X),apply(Y,Z)),apply(combinator,
% apply(apply(
% apply(h,h),X),
% apply(Y,Z)))) ->
% (false)
% Current number of equations to process: 1074
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [411]
% (eq)(apply(apply(apply(apply(h,h),X),Y),X),apply(combinator,apply(apply(
% apply(
% apply(X,Y),X),Y),X)))
% -> (false)
% Current number of equations to process: 1075
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [412]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),apply(combinator,apply(apply(
% apply(
% apply(X,Y),Z),Y),Z)))
% -> (false)
% Current number of equations to process: 1075
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [413]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),Z),apply(combinator,apply(apply(
% apply(h,
% apply(
% apply(
% apply(b,b),X),Y)),Z),V_3)))
% -> (false)
% Rule
% [396]
% (eq)(apply(apply(apply(X,Y),apply(Y,Z)),Y),apply(combinator,apply(apply(
% apply(h,
% apply(
% apply(
% apply(b,b),X),Y)),Y),Z)))
% -> (false) collapsed.
% Current number of equations to process: 1085
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [414]
% (eq)(apply(apply(apply(X,apply(Y,Z)),apply(apply(b,X),Y)),Z),apply(combinator,
% apply(apply(
% apply(h,h),
% apply(
% apply(b,X),Y)),Z)))
% -> (false)
% Current number of equations to process: 1084
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [415]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),V_3),apply(combinator,
% apply(
% apply(
% apply(h,
% apply(
% apply(X,Y),Z)),V_3),Z)))
% -> (false)
% Current number of equations to process: 1083
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [416]
% (eq)(apply(apply(apply(apply(h,apply(apply(b,X),Y)),Z),V_3),V_3),apply(combinator,
% apply(
% apply(
% apply(h,
% apply(X,
% apply(Y,Z))),V_3),Z)))
% -> (false)
% Current number of equations to process: 1082
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [417]
% (eq)(apply(apply(apply(X,apply(Y,Z)),Y),Z),apply(apply(apply(b,combinator),
% apply(apply(apply(h,
% apply(b,X)),Y),Z)),Z))
% -> (false)
% Current number of equations to process: 1081
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [418]
% (eq)(apply(apply(apply(apply(X,Y),X),Y),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(h,h),X),Y)),Y))
% -> (false)
% Current number of equations to process: 1083
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [419]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,h),
% apply(b,X)),Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 1092
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [420]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),V_3),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,h),X),Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 1096
% Current number of ordered equations: 1
% Current number of rules: 419
% New rule produced :
% [421]
% (eq)(apply(apply(apply(apply(X,h),Y),Z),Y),apply(combinator,apply(apply(
% apply(
% apply(
% apply(h,b),h),X),Y),Z)))
% -> (false)
% Current number of equations to process: 1096
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [422]
% (eq)(apply(apply(apply(apply(X,Y),X),Z),X),apply(combinator,apply(apply(
% apply(
% apply(
% apply(
% apply(b,h),b),h),X),Y),Z)))
% -> (false)
% Current number of equations to process: 1095
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [423]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Y),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,h),h),X),Y),Z)))
% -> (false)
% Rule
% [349]
% (eq)(apply(apply(apply(apply(X,Y),Y),Y),Y),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,h),h),X),Y),Y)))
% -> (false) collapsed.
% Current number of equations to process: 1097
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [424]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,X),Y),Z),V_3),Z)))
% -> (false)
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [425]
% (eq)(apply(apply(apply(apply(apply(h,b),X),Y),Z),apply(Y,X)),apply(combinator,
% apply(apply(
% apply(h,X),
% apply(Y,X)),Z)))
% -> (false)
% Current number of equations to process: 1120
% Current number of ordered equations: 1
% Current number of rules: 423
% New rule produced :
% [426]
% (eq)(apply(apply(apply(apply(h,apply(b,X)),Y),Z),apply(Y,Z)),apply(combinator,
% apply(apply(
% apply(h,X),
% apply(Y,Z)),Y)))
% -> (false)
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [427]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),apply(Y,Z)),apply(combinator,
% apply(
% apply(
% apply(X,
% apply(Y,Z)),V_3),
% apply(Y,Z))))
% -> (false)
% Current number of equations to process: 1132
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [428]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),b),apply(combinator,
% apply(apply(
% apply(X,b),
% apply(Y,Z)),b)))
% -> (false)
% Current number of equations to process: 1134
% Current number of ordered equations: 2
% Current number of rules: 426
% New rule produced :
% [429]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),Y),apply(combinator,
% apply(apply(
% apply(h,X),Y),
% apply(X,Z)))) ->
% (false)
% Current number of equations to process: 1134
% Current number of ordered equations: 1
% Current number of rules: 427
% New rule produced :
% [430]
% (eq)(apply(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),Y),apply(combinator,
% apply(apply(
% apply(X,Y),
% apply(Z,Y)),Y)))
% -> (false)
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [431]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Y),apply(combinator,
% apply(
% apply(
% apply(X,Y),
% apply(Z,V_3)),Y)))
% -> (false)
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [432]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,X)),Y),Z),V_3),Y),apply(combinator,
% apply(
% apply(
% apply(h,
% apply(X,
% apply(Y,Z))),Y),V_3)))
% -> (false)
% Current number of equations to process: 1146
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [433]
% (eq)(apply(apply(apply(apply(apply(h,h),X),Y),Z),Y),apply(combinator,
% apply(apply(apply(h,
% apply(
% apply(X,Y),X)),Y),Z)))
% -> (false)
% Current number of equations to process: 1151
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [434]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),h),X),Y),Z),Y),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(X,Y),Z),Y),Y),Y)))
% -> (false)
% Current number of equations to process: 1149
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [435]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(h,X)),Y),Y),Z),apply(combinator,
% apply(apply(
% apply(h,
% apply(
% apply(X,Y),Y)),Y),Z)))
% -> (false)
% Current number of equations to process: 1149
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [436]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),apply(combinator,
% apply(apply(apply(
% apply(
% apply(X,Y),Z),Y),V_3),Y)))
% -> (false)
% Current number of equations to process: 1149
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [437]
% (eq)(apply(apply(h,apply(X,Y)),X),apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(h,b),h),b),X)),Y))
% -> (false)
% Current number of equations to process: 1161
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [438]
% (eq)(apply(apply(apply(apply(X,Y),Z),apply(X,Y)),Z),apply(combinator,
% apply(apply(apply(
% apply(
% apply(
% apply(b,b),h),h),X),Y),Z)))
% -> (false)
% Current number of equations to process: 1172
% Current number of ordered equations: 2
% Current number of rules: 436
% New rule produced :
% [439]
% (eq)(apply(apply(apply(X,apply(Y,Z)),X),apply(Y,Z)),apply(combinator,
% apply(apply(apply(
% apply(
% apply(b,b),
% apply(h,h)),X),Y),Z)))
% -> (false)
% Current number of equations to process: 1172
% Current number of ordered equations: 1
% Current number of rules: 437
% New rule produced :
% [440]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),apply(X,Y)),Z),X),Y),Z),
% apply(combinator,apply(apply(apply(h,h),apply(X,Y)),Z))) -> (false)
% Current number of equations to process: 1172
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [441]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),Z),Y),apply(apply(apply(b,combinator),
% apply(apply(
% apply(h,
% apply(X,Y)),Z),Y)),Y))
% -> (false)
% Current number of equations to process: 1171
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [442]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),apply(combinator,
% apply(apply(apply(
% apply(
% apply(b,h),
% apply(X,Y)),Z),Y),V_3)))
% -> (false)
% Current number of equations to process: 1170
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [443]
% (eq)(apply(apply(apply(apply(apply(X,Y),Z),Y),V_3),Z),apply(combinator,
% apply(apply(apply(
% apply(
% apply(b,h),
% apply(h,X)),Y),Z),V_3)))
% -> (false)
% Current number of equations to process: 1169
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [444]
% (eq)(apply(X,apply(apply(Y,Z),Y)),apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,h),b),
% apply(b,X)),Y)),Z))
% -> (false)
% Current number of equations to process: 1166
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [445]
% (eq)(apply(apply(X,apply(b,Y)),b),apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(
% apply(b,h),b),h),b),X)),Y))
% -> (false)
% Current number of equations to process: 1165
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [446]
% (eq)(apply(apply(apply(X,Y),apply(apply(h,X),Z)),Y),apply(combinator,
% apply(apply(apply(
% apply(h,
% apply(b,b)),
% apply(h,X)),Y),Z)))
% -> (false)
% Current number of equations to process: 1167
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [447]
% (eq)(apply(apply(apply(apply(h,h),X),Y),X),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(b,h),X),Y),X)),Y))
% -> (false)
% Current number of equations to process: 1179
% Current number of ordered equations: 1
% Current number of rules: 445
% New rule produced :
% [448]
% (eq)(apply(apply(apply(apply(h,X),h),Y),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(h,b),h),X),Y)),h))
% -> (false)
% Current number of equations to process: 1179
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [449]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Y),apply(apply(apply(b,combinator),
% apply(apply(
% apply(
% apply(b,h),X),Y),Y)),Y))
% -> (false)
% Current number of equations to process: 1178
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [450]
% (eq)(apply(apply(apply(apply(apply(b,h),h),h),X),Y),apply(apply(apply(b,combinator),
% apply(apply(h,
% apply(X,Y)),X)),Y))
% -> (false)
% Current number of equations to process: 1187
% Current number of ordered equations: 0
% Current number of rules: 448
% Rule [450]
% (eq)(apply(apply(apply(apply(apply(b,h),h),h),X),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,
% apply(X,Y)),X)),Y))
% -> (false) is composed into [450]
% (eq)(apply(apply(apply(apply(apply(b,h),h),h),X),Y),
% apply(apply(apply(b,combinator),apply(
% apply(h,
% apply(X,Y)),X)),Y))
% -> (true)
% Rule [449]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(
% apply(
% apply(b,h),X),Y),Y)),Y))
% -> (false) is composed into [449]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Y),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,h),X),Y),Y)),Y))
% -> (true)
% Rule [448]
% (eq)(apply(apply(apply(apply(h,X),h),Y),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(
% apply(h,b),h),X),Y)),h))
% -> (false) is composed into [448]
% (eq)(apply(apply(apply(apply(h,X),h),Y),Y),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(h,b),h),X),Y)),h))
% -> (true)
% Rule [447]
% (eq)(apply(apply(apply(apply(h,h),X),Y),X),apply(apply(apply(b,combinator),
% apply(apply(apply(
% apply(b,h),X),Y),X)),Y))
% -> (false) is composed into [447]
% (eq)(apply(apply(apply(apply(h,h),X),Y),X),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,h),X),Y),X)),Y))
% -> (true)
% Rule [446]
% (eq)(apply(apply(apply(X,Y),apply(apply(h,X),Z)),Y),apply(combinator,
% apply(apply(
% apply(
% apply(h,
% apply(b,b)),
% apply(h,X)),Y),Z)))
% -> (false) is composed into [446]
% (eq)(apply(apply(apply(X,Y),apply(apply(h,X),Z)),Y),
% apply(combinator,apply(apply(apply(apply(h,
% apply(b,b)),
% apply(h,X)),Y),Z)))
% -> (true)
% Rule [445]
% (eq)(apply(apply(X,apply(b,Y)),b),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(
% apply(b,h),b),h),b),X)),Y))
% -> (false) is composed into [445]
% (eq)(apply(apply(X,apply(b,Y)),b),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(
% apply(
% apply(
% apply(b,h),b),h),b),X)),Y))
% -> (true)
% Rule [444]
% (eq)(apply(X,apply(apply(Y,Z),Y)),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(b,h),b),
% apply(b,X)),Y)),Z)) ->
% (false) is composed into [444]
% (eq)(apply(X,apply(apply(Y,Z),Y)),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(
% apply(
% apply(b,h),b),
% apply(b,X)),Y)),Z))
% -> (true)
% Rule [443]
% (eq)(apply(apply(apply(apply(apply(X,Y),Z),Y),V_3),Z),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(b,h),
% apply(h,X)),Y),Z),V_3)))
% -> (false) is composed into [443]
% (eq)(apply(apply(apply(apply(apply(X,Y),Z),Y),V_3),Z),
% apply(combinator,apply(apply(apply(apply(
% apply(b,h),
% apply(h,X)),Y),Z),V_3)))
% -> (true)
% Rule [442]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(b,h),
% apply(X,Y)),Z),Y),V_3)))
% -> (false) is composed into [442]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),
% apply(combinator,apply(apply(apply(apply(
% apply(b,h),
% apply(X,Y)),Z),Y),V_3)))
% -> (true)
% Rule [441]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),Z),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(
% apply(h,
% apply(X,Y)),Z),Y)),Y))
% -> (false) is composed into [441]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),Z),Y),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,
% apply(X,Y)),Z),Y)),Y))
% -> (true)
% Rule [440]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),apply(X,Y)),Z),X),Y),Z),
% apply(combinator,apply(apply(apply(h,h),apply(X,Y)),Z))) -> (false) is composed into 
% [440]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),apply(X,Y)),Z),X),Y),Z),
% apply(combinator,apply(apply(apply(h,h),apply(X,Y)),Z))) -> (true)
% Rule [439]
% (eq)(apply(apply(apply(X,apply(Y,Z)),X),apply(Y,Z)),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(h,h)),X),Y),Z)))
% -> (false) is composed into [439]
% (eq)(apply(apply(apply(X,apply(Y,Z)),X),
% apply(Y,Z)),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,b),
% apply(h,h)),X),Y),Z)))
% -> (true)
% Rule [438]
% (eq)(apply(apply(apply(apply(X,Y),Z),apply(X,Y)),Z),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),h),h),X),Y),Z)))
% -> (false) is composed into [438]
% (eq)(apply(apply(apply(apply(X,Y),Z),
% apply(X,Y)),Z),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),h),h),X),Y),Z)))
% -> (true)
% Rule [437]
% (eq)(apply(apply(h,apply(X,Y)),X),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(h,b),h),b),X)),Y))
% -> (false) is composed into [437]
% (eq)(apply(apply(h,apply(X,Y)),X),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(
% apply(
% apply(h,b),h),b),X)),Y))
% -> (true)
% Rule [436]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(X,Y),Z),Y),V_3),Y)))
% -> (false) is composed into [436]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),
% apply(combinator,apply(apply(apply(apply(
% apply(X,Y),Z),Y),V_3),Y)))
% -> (true)
% Rule [435]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(h,X)),Y),Y),Z),apply(combinator,
% apply(
% apply(
% apply(h,
% apply(
% apply(X,Y),Y)),Y),Z)))
% -> (false) is composed into [435]
% (eq)(apply(apply(apply(apply(apply(b,h),
% apply(h,X)),Y),Y),Z),
% apply(combinator,apply(apply(apply(h,
% apply(apply(X,Y),Y)),Y),Z)))
% -> (true)
% Rule [434]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),h),X),Y),Z),Y),apply(combinator,
% apply(
% apply(
% apply(
% apply(
% apply(X,Y),Z),Y),Y),Y)))
% -> (false) is composed into [434]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),h),X),Y),Z),Y),
% apply(combinator,apply(apply(apply(apply(
% apply(X,Y),Z),Y),Y),Y)))
% -> (true)
% Rule [433]
% (eq)(apply(apply(apply(apply(apply(h,h),X),Y),Z),Y),apply(combinator,
% apply(apply(
% apply(h,
% apply(
% apply(X,Y),X)),Y),Z)))
% -> (false) is composed into [433]
% (eq)(apply(apply(apply(apply(apply(h,h),X),Y),Z),Y),
% apply(combinator,apply(apply(apply(h,
% apply(apply(X,Y),X)),Y),Z)))
% -> (true)
% Rule [432]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,X)),Y),Z),V_3),Y),apply(combinator,
% apply(
% apply(
% apply(h,
% apply(X,
% apply(Y,Z))),Y),V_3)))
% -> (false) is composed into [432]
% (eq)(apply(apply(apply(apply(apply(h,
% apply(b,X)),Y),Z),V_3),Y),
% apply(combinator,apply(apply(apply(h,
% apply(X,
% apply(Y,Z))),Y),V_3)))
% -> (true)
% Rule [431]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Y),apply(combinator,
% apply(
% apply(
% apply(X,Y),
% apply(Z,V_3)),Y)))
% -> (false) is composed into [431]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Y),
% apply(combinator,apply(apply(apply(X,Y),
% apply(Z,V_3)),Y))) ->
% (true)
% Rule [430]
% (eq)(apply(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),Y),apply(combinator,
% apply(
% apply(
% apply(X,Y),
% apply(Z,Y)),Y)))
% -> (false) is composed into [430]
% (eq)(apply(apply(apply(apply(h,apply(
% apply(b,b),X)),Y),Z),Y),
% apply(combinator,apply(apply(apply(X,Y),
% apply(Z,Y)),Y))) ->
% (true)
% Rule [429]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),Y),apply(combinator,
% apply(
% apply(
% apply(h,X),Y),
% apply(X,Z))))
% -> (false) is composed into [429]
% (eq)(apply(apply(apply(apply(apply(h,
% apply(b,b)),X),Y),Z),Y),
% apply(combinator,apply(apply(apply(h,X),Y),
% apply(X,Z)))) -> (true)
% Rule [428]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),b),apply(combinator,
% apply(
% apply(
% apply(X,b),
% apply(Y,Z)),b)))
% -> (false) is composed into [428]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),b),
% apply(combinator,apply(apply(apply(X,b),
% apply(Y,Z)),b))) ->
% (true)
% Rule [427]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),apply(Y,Z)),apply(combinator,
% apply(
% apply(
% apply(X,
% apply(Y,Z)),V_3),
% apply(Y,Z))))
% -> (false) is composed into [427]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),
% apply(Y,Z)),apply(combinator,apply(
% apply(
% apply(X,
% apply(Y,Z)),V_3),
% apply(Y,Z))))
% -> (true)
% Rule [426]
% (eq)(apply(apply(apply(apply(h,apply(b,X)),Y),Z),apply(Y,Z)),apply(combinator,
% apply(
% apply(
% apply(h,X),
% apply(Y,Z)),Y)))
% -> (false) is composed into [426]
% (eq)(apply(apply(apply(apply(h,apply(b,X)),Y),Z),
% apply(Y,Z)),apply(combinator,apply(
% apply(
% apply(h,X),
% apply(Y,Z)),Y)))
% -> (true)
% Rule [425]
% (eq)(apply(apply(apply(apply(apply(h,b),X),Y),Z),apply(Y,X)),apply(combinator,
% apply(
% apply(
% apply(h,X),
% apply(Y,X)),Z)))
% -> (false) is composed into [425]
% (eq)(apply(apply(apply(apply(apply(h,b),X),Y),Z),
% apply(Y,X)),apply(combinator,apply(
% apply(
% apply(h,X),
% apply(Y,X)),Z)))
% -> (true)
% Rule [424]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,X),Y),Z),V_3),Z)))
% -> (false) is composed into [424]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),
% apply(combinator,apply(apply(apply(apply(
% apply(b,X),Y),Z),V_3),Z)))
% -> (true)
% Rule [423]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Y),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,h),h),X),Y),Z)))
% -> (false) is composed into [423]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Y),
% apply(combinator,apply(apply(apply(apply(
% apply(b,h),h),X),Y),Z)))
% -> (true)
% Rule [422]
% (eq)(apply(apply(apply(apply(X,Y),X),Z),X),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,h),b),h),X),Y),Z)))
% -> (false) is composed into [422]
% (eq)(apply(apply(apply(apply(X,Y),X),Z),X),
% apply(combinator,apply(apply(apply(apply(
% apply(
% apply(b,h),b),h),X),Y),Z)))
% -> (true)
% Rule [421]
% (eq)(apply(apply(apply(apply(X,h),Y),Z),Y),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(h,b),h),X),Y),Z)))
% -> (false) is composed into [421]
% (eq)(apply(apply(apply(apply(X,h),Y),Z),Y),
% apply(combinator,apply(apply(apply(apply(
% apply(h,b),h),X),Y),Z)))
% -> (true)
% Rule [420]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),V_3),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,h),X),Y),Z),V_3)))
% -> (false) is composed into [420]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),V_3),
% apply(combinator,apply(apply(apply(apply(
% apply(b,h),X),Y),Z),V_3)))
% -> (true)
% Rule [419]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,h),
% apply(b,X)),Y),Z),V_3)))
% -> (false) is composed into [419]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),
% apply(combinator,apply(apply(apply(apply(
% apply(b,h),
% apply(b,X)),Y),Z),V_3)))
% -> (true)
% Rule [418]
% (eq)(apply(apply(apply(apply(X,Y),X),Y),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(h,h),X),Y)),Y))
% -> (false) is composed into [418]
% (eq)(apply(apply(apply(apply(X,Y),X),Y),Y),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,h),X),Y)),Y))
% -> (true)
% Rule [417]
% (eq)(apply(apply(apply(X,apply(Y,Z)),Y),Z),apply(apply(apply(b,combinator),
% apply(apply(apply(h,
% apply(b,X)),Y),Z)),Z))
% -> (false) is composed into [417]
% (eq)(apply(apply(apply(X,apply(Y,Z)),Y),Z),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,
% apply(b,X)),Y),Z)),Z))
% -> (true)
% Rule [416]
% (eq)(apply(apply(apply(apply(h,apply(apply(b,X),Y)),Z),V_3),V_3),
% apply(combinator,apply(apply(apply(h,apply(X,apply(Y,Z))),V_3),Z))) ->
% (false) is composed into [416]
% (eq)(apply(apply(apply(apply(h,apply(apply(b,X),Y)),Z),V_3),V_3),
% apply(combinator,apply(apply(apply(h,apply(X,
% apply(Y,Z))),V_3),Z)))
% -> (true)
% Rule [415]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),V_3),
% apply(combinator,apply(apply(apply(h,apply(apply(X,Y),Z)),V_3),Z))) ->
% (false) is composed into [415]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),V_3),
% apply(combinator,apply(apply(apply(h,apply(
% apply(X,Y),Z)),V_3),Z)))
% -> (true)
% Rule [414]
% (eq)(apply(apply(apply(X,apply(Y,Z)),apply(apply(b,X),Y)),Z),apply(combinator,
% apply(
% apply(
% apply(h,h),
% apply(
% apply(b,X),Y)),Z)))
% -> (false) is composed into [414]
% (eq)(apply(apply(apply(X,apply(Y,Z)),
% apply(apply(b,X),Y)),Z),apply(combinator,
% apply(
% apply(
% apply(h,h),
% apply(
% apply(b,X),Y)),Z)))
% -> (true)
% Rule [413]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),Z),apply(combinator,apply(
% apply(
% apply(h,
% apply(
% apply(
% apply(b,b),X),Y)),Z),V_3)))
% -> (false) is composed into [413]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),Z),
% apply(combinator,apply(apply(apply(h,
% apply(apply(
% apply(b,b),X),Y)),Z),V_3)))
% -> (true)
% Rule [412]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),apply(combinator,apply(
% apply(
% apply(
% apply(X,Y),Z),Y),Z)))
% -> (false) is composed into [412]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),
% apply(combinator,apply(apply(apply(apply(X,Y),Z),Y),Z)))
% -> (true)
% Rule [411]
% (eq)(apply(apply(apply(apply(h,h),X),Y),X),apply(combinator,apply(
% apply(
% apply(
% apply(X,Y),X),Y),X)))
% -> (false) is composed into [411]
% (eq)(apply(apply(apply(apply(h,h),X),Y),X),
% apply(combinator,apply(apply(apply(apply(X,Y),X),Y),X)))
% -> (true)
% Rule [410]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),X),apply(Y,Z)),apply(combinator,
% apply(
% apply(
% apply(h,h),X),
% apply(Y,Z))))
% -> (false) is composed into [410]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),X),
% apply(Y,Z)),apply(combinator,apply(
% apply(
% apply(h,h),X),
% apply(Y,Z))))
% -> (true)
% Rule [409]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),Y),apply(combinator,
% apply(apply(
% apply(h,
% apply(b,X)),Y),
% apply(Z,V_3)))) ->
% (false) is composed into [409]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),Y),
% apply(combinator,apply(apply(apply(h,apply(b,X)),Y),
% apply(Z,V_3)))) -> (true)
% Rule [408]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,h),X),Y),Z),Y)))
% -> (false) is composed into [408]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),
% apply(combinator,apply(apply(apply(apply(
% apply(b,h),X),Y),Z),Y)))
% -> (true)
% Rule [407]
% (eq)(apply(apply(apply(apply(X,Y),apply(h,X)),Y),Y),apply(combinator,
% apply(apply(
% apply(h,h),
% apply(h,X)),Y)))
% -> (false) is composed into [407]
% (eq)(apply(apply(apply(apply(X,Y),apply(h,X)),Y),Y),
% apply(combinator,apply(apply(apply(h,h),
% apply(h,X)),Y))) ->
% (true)
% Rule [406]
% (eq)(apply(apply(apply(X,h),X),h),apply(combinator,apply(apply(apply(h,h),h),X)))
% -> (false) is composed into [406]
% (eq)(apply(apply(apply(X,h),X),h),apply(combinator,
% apply(
% apply(
% apply(h,h),h),X)))
% -> (true)
% Rule [405]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(combinator,apply(apply(apply(
% apply(b,X),Y),Z),Y)))
% -> (false) is composed into [405]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(combinator,
% apply(
% apply(
% apply(
% apply(b,X),Y),Z),Y)))
% -> (true)
% Rule [404]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(combinator,apply(apply(apply(
% apply(
% apply(b,h),b),X),Y),Z)))
% -> (false) is composed into [404]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(combinator,
% apply(
% apply(
% apply(
% apply(
% apply(b,h),b),X),Y),Z)))
% -> (true)
% Rule [403]
% (eq)(apply(apply(apply(apply(X,h),X),h),h),apply(apply(apply(b,combinator),
% apply(apply(apply(h,h),h),X)),h))
% -> (false) is composed into [403]
% (eq)(apply(apply(apply(apply(X,h),X),h),h),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,h),h),X)),h))
% -> (true)
% Rule [402]
% (eq)(apply(apply(apply(apply(X,h),X),h),X),apply(apply(apply(b,combinator),
% apply(apply(apply(h,h),h),X)),X))
% -> (false) is composed into [402]
% (eq)(apply(apply(apply(apply(X,h),X),h),X),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,h),h),X)),X))
% -> (true)
% Rule [401]
% (eq)(apply(apply(apply(apply(h,X),Y),X),X),apply(apply(apply(b,combinator),
% apply(apply(apply(h,h),X),Y)),X))
% -> (false) is composed into [401]
% (eq)(apply(apply(apply(apply(h,X),Y),X),X),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,h),X),Y)),X))
% -> (true)
% Rule [400]
% (eq)(apply(apply(apply(h,apply(b,b)),X),Y),apply(apply(apply(apply(
% apply(h,
% apply(b,b)),b),combinator),
% apply(X,Y)),X)) ->
% (false) is composed into [400]
% (eq)(apply(apply(apply(h,apply(b,b)),X),Y),
% apply(apply(apply(apply(apply(h,apply(b,b)),b),combinator),
% apply(X,Y)),X)) -> (true)
% Rule [399]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),h),X),Y),Z),apply(combinator,
% apply(
% apply(
% apply(X,
% apply(h,Y)),Z),
% apply(h,Y))))
% -> (false) is composed into [399]
% (eq)(apply(apply(apply(apply(apply(h,
% apply(b,b)),h),X),Y),Z),
% apply(combinator,apply(apply(apply(X,
% apply(h,Y)),Z),
% apply(h,Y)))) -> (true)
% Rule [398]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),X),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(h,X),
% apply(Y,Z)),V_3)))
% -> (false) is composed into [398]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),X),Y),Z),V_3),
% apply(combinator,apply(apply(apply(h,X),
% apply(Y,Z)),V_3))) ->
% (true)
% Rule [397]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),Y),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),X),Y),Z),V_3),Y)))
% -> (false) is composed into [397]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),Y),
% apply(combinator,apply(apply(apply(apply(
% apply(
% apply(b,b),X),Y),Z),V_3),Y)))
% -> (true)
% Rule [395]
% (eq)(apply(apply(apply(h,X),Y),apply(X,Z)),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(h,
% apply(b,b)),X),Y),Z),Y)))
% -> (false) is composed into [395]
% (eq)(apply(apply(apply(h,X),Y),apply(X,Z)),
% apply(combinator,apply(apply(apply(apply(
% apply(h,
% apply(b,b)),X),Y),Z),Y)))
% -> (true)
% Rule [394]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),Y),apply(combinator,apply(
% apply(
% apply(
% apply(h,
% apply(
% apply(b,b),X)),Y),Z),Y)))
% -> (false) is composed into [394]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),Y),
% apply(combinator,apply(apply(apply(apply(h,
% apply(
% apply(b,b),X)),Y),Z),Y)))
% -> (true)
% Rule [393]
% (eq)(apply(apply(apply(X,b),apply(Y,Z)),b),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(
% apply(h,b),b),X),Y),Z),b)))
% -> (false) is composed into [393]
% (eq)(apply(apply(apply(X,b),apply(Y,Z)),b),
% apply(combinator,apply(apply(apply(apply(
% apply(
% apply(h,b),b),X),Y),Z),b)))
% -> (true)
% Rule [392]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),apply(Y,Z)),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(b,X),Y),Z),V_3),
% apply(Y,Z)))) ->
% (false) is composed into [392]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),
% apply(Y,Z)),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,X),Y),Z),V_3),
% apply(Y,Z))))
% -> (true)
% Rule [391]
% (eq)(apply(apply(apply(h,X),apply(Y,Z)),Y),apply(combinator,apply(
% apply(
% apply(
% apply(h,
% apply(b,X)),Y),Z),
% apply(Y,Z))))
% -> (false) is composed into [391]
% (eq)(apply(apply(apply(h,X),apply(Y,Z)),Y),
% apply(combinator,apply(apply(apply(apply(h,
% apply(b,X)),Y),Z),
% apply(Y,Z)))) -> (true)
% Rule [390]
% (eq)(apply(apply(apply(h,X),apply(Y,X)),Z),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(h,b),X),Y),Z),
% apply(Y,X))))
% -> (false) is composed into [390]
% (eq)(apply(apply(apply(h,X),apply(Y,X)),Z),
% apply(combinator,apply(apply(apply(apply(
% apply(h,b),X),Y),Z),
% apply(Y,X)))) -> (true)
% Rule [389]
% (eq)(apply(apply(apply(h,apply(b,X)),combinator),Y),apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(h,b)),combinator),X),
% apply(combinator,Y)))
% -> (false) is composed into [389]
% (eq)(apply(apply(apply(h,apply(b,X)),combinator),Y),
% apply(apply(apply(apply(apply(b,b),apply(h,b)),combinator),X),
% apply(combinator,Y))) -> (true)
% Rule [388]
% (eq)(apply(apply(apply(apply(h,b),X),Y),combinator),apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(h,b)),combinator),X),
% apply(Y,X))) ->
% (false) is composed into [388]
% (eq)(apply(apply(apply(apply(h,b),X),Y),combinator),
% apply(apply(apply(apply(apply(b,b),apply(h,b)),combinator),X),
% apply(Y,X))) -> (true)
% Rule [387]
% (eq)(apply(apply(X,Y),combinator),apply(apply(apply(apply(apply(
% apply(h,
% apply(
% apply(b,b),b)),b),h),combinator),X),Y))
% -> (false) is composed into [387]
% (eq)(apply(apply(X,Y),combinator),apply(
% apply(
% apply(
% apply(
% apply(
% apply(h,
% apply(
% apply(b,b),b)),b),h),combinator),X),Y))
% -> (true)
% Rule [386]
% (eq)(apply(apply(X,Y),combinator),apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(h,b),b),b),h),b),combinator),X),Y))
% -> (false) is composed into [386]
% (eq)(apply(apply(X,Y),combinator),apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(h,b),b),b),h),b),combinator),X),Y))
% -> (true)
% Rule [385]
% (eq)(apply(apply(apply(apply(X,Y),combinator),Y),Y),apply(apply(
% apply(h,b),combinator),
% apply(apply(
% apply(
% apply(b,h),h),X),Y)))
% -> (false) is composed into [385]
% (eq)(apply(apply(apply(apply(X,Y),combinator),Y),Y),
% apply(apply(apply(h,b),combinator),apply(
% apply(
% apply(
% apply(b,h),h),X),Y)))
% -> (true)
% Rule [384]
% (eq)(apply(apply(apply(apply(X,h),Y),combinator),Y),apply(apply(
% apply(h,b),combinator),
% apply(apply(
% apply(
% apply(h,b),h),X),Y)))
% -> (false) is composed into [384]
% (eq)(apply(apply(apply(apply(X,h),Y),combinator),Y),
% apply(apply(apply(h,b),combinator),apply(
% apply(
% apply(
% apply(h,b),h),X),Y)))
% -> (true)
% Rule [383]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),combinator),apply(apply(
% apply(h,b),combinator),
% apply(apply(
% apply(
% apply(b,h),X),Y),Z)))
% -> (false) is composed into [383]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),combinator),
% apply(apply(apply(h,b),combinator),apply(
% apply(
% apply(
% apply(b,h),X),Y),Z)))
% -> (true)
% Rule [382]
% (eq)(apply(apply(apply(apply(apply(h,b),X),Y),combinator),apply(Y,X)),
% apply(apply(apply(h,b),combinator),apply(apply(h,X),apply(Y,X)))) ->
% (false) is composed into [382]
% (eq)(apply(apply(apply(apply(apply(h,b),X),Y),combinator),
% apply(Y,X)),apply(apply(apply(h,b),combinator),
% apply(apply(h,X),apply(Y,X))))
% -> (true)
% Rule [381]
% (eq)(apply(X,apply(apply(apply(Y,combinator),Y),combinator)),apply(
% apply(
% apply(h,b),combinator),
% apply(
% apply(b,X),
% apply(
% apply(h,h),Y))))
% -> (false) is composed into [381]
% (eq)(apply(X,apply(apply(apply(Y,combinator),Y),combinator)),
% apply(apply(apply(h,b),combinator),apply(
% apply(b,X),
% apply(
% apply(h,h),Y))))
% -> (true)
% Rule [380]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),combinator)),Z),apply(
% apply(
% apply(h,b),combinator),
% apply(
% apply(b,X),
% apply(
% apply(h,Y),Z))))
% -> (false) is composed into [380]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),combinator)),Z),
% apply(apply(apply(h,b),combinator),apply(
% apply(b,X),
% apply(
% apply(h,Y),Z))))
% -> (true)
% Rule [379]
% (eq)(apply(apply(apply(apply(b,X),Y),apply(Z,V_3)),Y),apply(apply(
% apply(b,combinator),
% apply(X,
% apply(
% apply(
% apply(b,Y),Z),V_3))),Y))
% -> (false) is composed into [379]
% (eq)(apply(apply(apply(apply(b,X),Y),
% apply(Z,V_3)),Y),apply(apply(
% apply(b,combinator),
% apply(X,
% apply(
% apply(
% apply(b,Y),Z),V_3))),Y))
% -> (true)
% Rule [378]
% (eq)(apply(apply(apply(apply(apply(X,Y),Z),Y),Y),Y),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(
% apply(b,h),h),X),Y),Z),Y)))
% -> (false) is composed into [378]
% (eq)(apply(apply(apply(apply(apply(X,Y),Z),Y),Y),Y),
% apply(combinator,apply(apply(apply(apply(
% apply(
% apply(b,h),h),X),Y),Z),Y)))
% -> (true)
% Rule [377]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Y)),Y),Z),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(b,h),
% apply(h,X)),Y),Y),Z)))
% -> (false) is composed into [377]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Y)),Y),Z),
% apply(combinator,apply(apply(apply(apply(
% apply(b,h),
% apply(h,X)),Y),Y),Z)))
% -> (true)
% Rule [376]
% (eq)(apply(apply(apply(h,apply(X,apply(Y,Z))),Y),V_3),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(h,
% apply(b,X)),Y),Z),V_3),Y)))
% -> (false) is composed into [376]
% (eq)(apply(apply(apply(h,apply(X,apply(Y,Z))),Y),V_3),
% apply(combinator,apply(apply(apply(apply(
% apply(h,
% apply(b,X)),Y),Z),V_3),Y)))
% -> (true)
% Rule [375]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(h,X)),Y),Z),
% apply(combinator,apply(apply(apply(X,Y),apply(Z,Y)),Y))) -> (false) is composed into 
% [375]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(h,X)),Y),Z),
% apply(combinator,apply(apply(apply(X,Y),apply(Z,Y)),Y))) -> (true)
% Rule [374]
% (eq)(apply(apply(apply(apply(apply(b,h),b),X),Y),Z),apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),X),
% apply(Y,Z)),Y))
% -> (false) is composed into [374]
% (eq)(apply(apply(apply(apply(apply(b,h),b),X),Y),Z),
% apply(apply(apply(apply(apply(apply(b,b),b),combinator),X),
% apply(Y,Z)),Y)) -> (true)
% Rule [373]
% (eq)(apply(apply(apply(h,apply(X,apply(Y,Z))),V_3),Z),apply(combinator,
% apply(apply(
% apply(
% apply(h,
% apply(
% apply(b,X),Y)),Z),V_3),V_3)))
% -> (false) is composed into [373]
% (eq)(apply(apply(apply(h,apply(X,apply(Y,Z))),V_3),Z),
% apply(combinator,apply(apply(apply(apply(h,
% apply(
% apply(b,X),Y)),Z),V_3),V_3)))
% -> (true)
% Rule [372]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Z)),V_3),Z),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(
% apply(b,h),X),Y),Z),V_3),V_3)))
% -> (false) is composed into [372]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Z)),V_3),Z),
% apply(combinator,apply(apply(apply(apply(
% apply(
% apply(b,h),X),Y),Z),V_3),V_3)))
% -> (true)
% Rule [371]
% (eq)(apply(apply(apply(h,h),apply(apply(b,X),Y)),Z),apply(combinator,
% apply(apply(
% apply(X,
% apply(Y,Z)),
% apply(
% apply(b,X),Y)),Z)))
% -> (false) is composed into [371]
% (eq)(apply(apply(apply(h,h),apply(apply(b,X),Y)),Z),
% apply(combinator,apply(apply(apply(X,
% apply(Y,Z)),
% apply(apply(b,X),Y)),Z)))
% -> (true)
% Rule [370]
% (eq)(apply(apply(apply(h,X),combinator),combinator),apply(apply(
% apply(
% apply(
% apply(b,h),
% apply(b,b)),
% apply(h,b)),combinator),
% apply(X,combinator)))
% -> (false) is composed into [370]
% (eq)(apply(apply(apply(h,X),combinator),combinator),
% apply(apply(apply(apply(apply(b,h),apply(b,b)),
% apply(h,b)),combinator),
% apply(X,combinator))) -> (true)
% Rule [369]
% (eq)(apply(apply(apply(h,b),X),combinator),apply(apply(apply(apply(
% apply(
% apply(
% apply(b,b),h),
% apply(b,b)),h),b),combinator),X))
% -> (false) is composed into [369]
% (eq)(apply(apply(apply(h,b),X),combinator),
% apply(apply(apply(apply(apply(apply(
% apply(b,b),h),
% apply(b,b)),h),b),combinator),X))
% -> (true)
% Rule [368]
% (eq)(apply(apply(apply(X,combinator),combinator),combinator),apply(
% apply(
% apply(
% apply(
% apply(b,h),
% apply(b,b)),
% apply(h,b)),combinator),
% apply(h,X)))
% -> (false) is composed into [368]
% (eq)(apply(apply(apply(X,combinator),combinator),combinator),
% apply(apply(apply(apply(apply(b,h),apply(b,b)),
% apply(h,b)),combinator),
% apply(h,X))) -> (true)
% Rule [367]
% (eq)(apply(X,apply(Y,apply(Z,combinator))),apply(apply(apply(h,b),combinator),
% apply(apply(apply(apply(b,b),
% apply(b,X)),Y),Z)))
% -> (false) is composed into [367]
% (eq)(apply(X,apply(Y,apply(Z,combinator))),
% apply(apply(apply(h,b),combinator),apply(
% apply(
% apply(
% apply(b,b),
% apply(b,X)),Y),Z)))
% -> (true)
% Rule [366]
% (eq)(apply(apply(X,apply(Y,combinator)),Y),apply(apply(apply(apply(
% apply(b,b),
% apply(h,b)),combinator),
% apply(h,apply(b,X))),Y))
% -> (false) is composed into [366]
% (eq)(apply(apply(X,apply(Y,combinator)),Y),
% apply(apply(apply(apply(apply(b,b),apply(h,b)),combinator),
% apply(h,apply(b,X))),Y)) -> (true)
% Rule [365]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),X),Y),Y),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(
% apply(h,X),Y),X)),X))
% -> (false) is composed into [365]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),X),Y),Y),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,X),Y),X)),X))
% -> (true)
% Rule [364]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),X),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(
% apply(h,h),X),Y)),X))
% -> (false) is composed into [364]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),X),Y),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,h),X),Y)),X))
% -> (true)
% Rule [363]
% (eq)(apply(apply(apply(apply(apply(h,b),h),X),Y),h),apply(apply(
% apply(b,combinator),
% apply(
% apply(
% apply(h,X),h),Y)),Y))
% -> (false) is composed into [363]
% (eq)(apply(apply(apply(apply(apply(h,b),h),X),Y),h),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,X),h),Y)),Y))
% -> (true)
% Rule [362]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Z),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(X,Y),
% apply(Z,V_3))),Z))
% -> (false) is composed into [362]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Z),
% apply(apply(apply(b,combinator),apply(
% apply(X,Y),
% apply(Z,V_3))),Z))
% -> (true)
% Rule [361]
% (eq)(apply(apply(apply(h,h),h),X),apply(apply(apply(apply(apply(
% apply(b,b),b),combinator),
% apply(X,h)),X),h)) ->
% (false) is composed into [361]
% (eq)(apply(apply(apply(h,h),h),X),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),
% apply(X,h)),X),h))
% -> (true)
% Rule [360]
% (eq)(apply(apply(apply(apply(apply(X,Y),Z),Y),V_3),Y),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(h,X),Y),Z),V_3),Y)))
% -> (false) is composed into [360]
% (eq)(apply(apply(apply(apply(apply(X,Y),Z),Y),V_3),Y),
% apply(combinator,apply(apply(apply(apply(
% apply(h,X),Y),Z),V_3),Y)))
% -> (true)
% Rule [359]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),X)),Y),Z),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(h,h),X),Y),Z),Y)))
% -> (false) is composed into [359]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),X)),Y),Z),
% apply(combinator,apply(apply(apply(apply(
% apply(h,h),X),Y),Z),Y)))
% -> (true)
% Rule [358]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),apply(h,X)),Y),Z),apply(combinator,
% apply(
% apply(
% apply(X,Y),
% apply(
% apply(h,X),Z)),Y)))
% -> (false) is composed into [358]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),
% apply(h,X)),Y),Z),apply(combinator,
% apply(
% apply(
% apply(X,Y),
% apply(
% apply(h,X),Z)),Y)))
% -> (true)
% Rule [357]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(h,h)),X),Y),Z),apply(combinator,
% apply(
% apply(
% apply(X,
% apply(Y,Z)),X),
% apply(Y,Z))))
% -> (false) is composed into [357]
% (eq)(apply(apply(apply(apply(apply(b,b),
% apply(h,h)),X),Y),Z),
% apply(combinator,apply(apply(apply(X,
% apply(Y,Z)),X),
% apply(Y,Z)))) -> (true)
% Rule [356]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),h),X),Y),Z),apply(combinator,
% apply(
% apply(
% apply(
% apply(X,Y),Z),
% apply(X,Y)),Z)))
% -> (false) is composed into [356]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),h),X),Y),Z),
% apply(combinator,apply(apply(apply(apply(X,Y),Z),
% apply(X,Y)),Z))) ->
% (true)
% Rule [355]
% (eq)(apply(apply(apply(h,h),X),apply(Y,Z)),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,X),Y),Z),X),
% apply(Y,Z))))
% -> (false) is composed into [355]
% (eq)(apply(apply(apply(h,h),X),apply(Y,Z)),
% apply(combinator,apply(apply(apply(apply(
% apply(b,X),Y),Z),X),
% apply(Y,Z)))) -> (true)
% Rule [354]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(h,X)),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(
% apply(
% apply(X,Y),Z),Y),V_3),Z)))
% -> (false) is composed into [354]
% (eq)(apply(apply(apply(apply(apply(b,h),
% apply(h,X)),Y),Z),V_3),
% apply(combinator,apply(apply(apply(apply(
% apply(X,Y),Z),Y),V_3),Z)))
% -> (true)
% Rule [353]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(X,Y)),Z),Y),V_3),apply(combinator,
% apply(
% apply(
% apply(
% apply(
% apply(h,X),Y),Z),V_3),Y)))
% -> (false) is composed into [353]
% (eq)(apply(apply(apply(apply(apply(b,h),
% apply(X,Y)),Z),Y),V_3),
% apply(combinator,apply(apply(apply(apply(
% apply(h,X),Y),Z),V_3),Y)))
% -> (true)
% Rule [352]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),b),X),Y),apply(
% apply(
% apply(b,combinator),
% apply(X,
% apply(b,Y))),b))
% -> (false) is composed into [352]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),b),X),Y),
% apply(apply(apply(b,combinator),apply(X,
% apply(b,Y))),b))
% -> (true)
% Rule [351]
% (eq)(apply(apply(apply(apply(apply(h,b),h),b),X),Y),apply(apply(
% apply(b,combinator),
% apply(h,
% apply(X,Y))),X))
% -> (false) is composed into [351]
% (eq)(apply(apply(apply(apply(apply(h,b),h),b),X),Y),
% apply(apply(apply(b,combinator),apply(h,
% apply(X,Y))),X))
% -> (true)
% Rule [350]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Z),apply(combinator,apply(
% apply(
% apply(
% apply(h,X),Y),Z),Z)))
% -> (false) is composed into [350]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Z),
% apply(combinator,apply(apply(apply(apply(h,X),Y),Z),Z)))
% -> (true)
% Rule [348]
% (eq)(apply(apply(apply(apply(X,Y),X),Y),X),apply(combinator,apply(
% apply(
% apply(
% apply(h,h),X),Y),X)))
% -> (false) is composed into [348]
% (eq)(apply(apply(apply(apply(X,Y),X),Y),X),
% apply(combinator,apply(apply(apply(apply(h,h),X),Y),X)))
% -> (true)
% Rule [347]
% (eq)(apply(apply(apply(h,h),apply(h,X)),Y),apply(combinator,apply(
% apply(
% apply(
% apply(X,Y),
% apply(h,X)),Y),Y)))
% -> (false) is composed into [347]
% (eq)(apply(apply(apply(h,h),apply(h,X)),Y),
% apply(combinator,apply(apply(apply(apply(X,Y),
% apply(h,X)),Y),Y)))
% -> (true)
% Rule [346]
% (eq)(apply(apply(apply(h,h),h),X),apply(combinator,apply(apply(apply(X,h),X),h)))
% -> (false) is composed into [346]
% (eq)(apply(apply(apply(h,h),h),X),apply(combinator,
% apply(
% apply(
% apply(X,h),X),h)))
% -> (true)
% Rule [345]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),Z),apply(combinator,
% apply(apply(
% apply(X,
% apply(Y,Z)),V_3),Z)))
% -> (false) is composed into [345]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),Z),
% apply(combinator,apply(apply(apply(X,
% apply(Y,Z)),V_3),Z)))
% -> (true)
% Rule [344]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Z),apply(combinator,
% apply(apply(
% apply(
% apply(X,Y),Z),Y),Y)))
% -> (false) is composed into [344]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Z),
% apply(combinator,apply(apply(apply(apply(X,Y),Z),Y),Y)))
% -> (true)
% Rule [343]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),X),Y),Z),apply(combinator,
% apply(
% apply(
% apply(
% apply(X,Y),X),Z),X)))
% -> (false) is composed into [343]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),X),Y),Z),
% apply(combinator,apply(apply(apply(apply(X,Y),X),Z),X)))
% -> (true)
% Rule [342]
% (eq)(apply(apply(apply(apply(apply(h,b),h),X),Y),Z),apply(combinator,
% apply(apply(
% apply(
% apply(X,h),Y),Z),Y)))
% -> (false) is composed into [342]
% (eq)(apply(apply(apply(apply(apply(h,b),h),X),Y),Z),
% apply(combinator,apply(apply(apply(apply(X,h),Y),Z),Y)))
% -> (true)
% Rule [341]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),Y),apply(combinator,
% apply(apply(
% apply(
% apply(h,X),Y),Z),Z)))
% -> (false) is composed into [341]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),Y),
% apply(combinator,apply(apply(apply(apply(h,X),Y),Z),Z)))
% -> (true)
% Rule [340]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),apply(combinator,
% apply(apply(
% apply(h,
% apply(X,Y)),Z),V_3)))
% -> (false) is composed into [340]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),
% apply(combinator,apply(apply(apply(h,
% apply(X,Y)),Z),V_3)))
% -> (true)
% Rule [339]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,X)),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(X,
% apply(Y,Z)),V_3),Z)))
% -> (false) is composed into [339]
% (eq)(apply(apply(apply(apply(apply(b,h),
% apply(b,X)),Y),Z),V_3),
% apply(combinator,apply(apply(apply(X,
% apply(Y,Z)),V_3),Z)))
% -> (true)
% Rule [338]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),apply(Z,V_3)),apply(combinator,
% apply(apply(X,
% apply(
% apply(
% apply(b,Y),Z),V_3)),Y)))
% -> (false) is composed into [338]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),
% apply(Z,V_3)),apply(combinator,
% apply(apply(X,apply(
% apply(
% apply(b,Y),Z),V_3)),Y)))
% -> (true)
% Rule [337]
% (eq)(apply(apply(apply(h,apply(apply(apply(b,b),X),Y)),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(X,Y),
% apply(Z,V_3)),Z)))
% -> (false) is composed into [337]
% (eq)(apply(apply(apply(h,apply(apply(
% apply(b,b),X),Y)),Z),V_3),
% apply(combinator,apply(apply(apply(X,Y),
% apply(Z,V_3)),Z))) ->
% (true)
% Rule [336]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),Y),apply(combinator,apply(
% apply(X,
% apply(Y,Z)),Y)))
% -> (false) is composed into [336]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),Y),
% apply(combinator,apply(apply(X,apply(Y,Z)),Y)))
% -> (true)
% Rule [335]
% (eq)(apply(apply(apply(apply(apply(b,h),b),X),Y),Z),apply(combinator,
% apply(apply(X,
% apply(Y,Z)),Y)))
% -> (false) is composed into [335]
% (eq)(apply(apply(apply(apply(apply(b,h),b),X),Y),Z),
% apply(combinator,apply(apply(X,apply(Y,Z)),Y)))
% -> (true)
% Rule [334]
% (eq)(apply(apply(apply(h,h),X),combinator),apply(apply(apply(apply(
% apply(b,b),
% apply(h,b)),combinator),
% apply(X,combinator)),X))
% -> (false) is composed into [334]
% (eq)(apply(apply(apply(h,h),X),combinator),
% apply(apply(apply(apply(apply(b,b),apply(h,b)),combinator),
% apply(X,combinator)),X)) -> (true)
% Rule [333]
% (eq)(apply(apply(apply(h,b),X),combinator),apply(apply(apply(apply(
% apply(
% apply(b,h),b),b),
% apply(h,b)),combinator),X))
% -> (false) is composed into [333]
% (eq)(apply(apply(apply(h,b),X),combinator),
% apply(apply(apply(apply(apply(apply(b,h),b),b),
% apply(h,b)),combinator),X)) ->
% (true)
% Rule [332]
% (eq)(apply(apply(apply(b,X),combinator),X),apply(apply(apply(apply(h,
% apply(b,b)),
% apply(h,b)),combinator),X))
% -> (false) is composed into [332]
% (eq)(apply(apply(apply(b,X),combinator),X),
% apply(apply(apply(apply(h,apply(b,b)),
% apply(h,b)),combinator),X)) ->
% (true)
% Rule [331]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,combinator)),apply(apply(
% apply(h,b),combinator),
% apply(apply(b,X),
% apply(apply(b,Y),Z))))
% -> (false) is composed into [331]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,combinator)),
% apply(apply(apply(h,b),combinator),apply(
% apply(b,X),
% apply(
% apply(b,Y),Z))))
% -> (true)
% Rule [330]
% (eq)(apply(apply(X,Y),apply(X,combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(apply(h,apply(b,b)),X),Y)))
% -> (false) is composed into [330]
% (eq)(apply(apply(X,Y),apply(X,combinator)),
% apply(apply(apply(h,b),combinator),apply(
% apply(
% apply(h,
% apply(b,b)),X),Y)))
% -> (true)
% Rule [329]
% (eq)(apply(apply(X,b),apply(Y,combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(apply(apply(h,b),b),X),Y)))
% -> (false) is composed into [329]
% (eq)(apply(apply(X,b),apply(Y,combinator)),
% apply(apply(apply(h,b),combinator),apply(
% apply(
% apply(
% apply(h,b),b),X),Y)))
% -> (true)
% Rule [328]
% (eq)(apply(apply(apply(apply(X,combinator),apply(h,X)),combinator),combinator),
% apply(apply(apply(h,b),combinator),apply(apply(h,h),apply(h,X)))) ->
% (false) is composed into [328]
% (eq)(apply(apply(apply(apply(X,combinator),
% apply(h,X)),combinator),combinator),
% apply(apply(apply(h,b),combinator),apply(
% apply(h,h),
% apply(h,X))))
% -> (true)
% Rule [327]
% (eq)(apply(apply(apply(X,combinator),X),combinator),apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(h,b)),combinator),
% apply(h,h)),X))
% -> (false) is composed into [327]
% (eq)(apply(apply(apply(X,combinator),X),combinator),
% apply(apply(apply(apply(apply(b,b),apply(h,b)),combinator),
% apply(h,h)),X)) -> (true)
% Rule [326]
% (eq)(apply(apply(apply(combinator,h),combinator),h),apply(apply(
% apply(h,b),combinator),
% apply(apply(h,h),h)))
% -> (false) is composed into [326]
% (eq)(apply(apply(apply(combinator,h),combinator),h),
% apply(apply(apply(h,b),combinator),apply(
% apply(h,h),h)))
% -> (true)
% Rule [325]
% (eq)(apply(apply(X,apply(Y,combinator)),Y),apply(apply(apply(h,b),combinator),
% apply(apply(apply(apply(b,h),b),X),Y)))
% -> (false) is composed into [325]
% (eq)(apply(apply(X,apply(Y,combinator)),Y),
% apply(apply(apply(h,b),combinator),apply(
% apply(
% apply(
% apply(b,h),b),X),Y)))
% -> (true)
% Rule [324]
% (eq)(apply(X,apply(combinator,combinator)),apply(apply(apply(apply(
% apply(b,h),
% apply(b,b)),
% apply(h,b)),combinator),
% apply(b,X))) -> (false) is composed into 
% [324]
% (eq)(apply(X,apply(combinator,combinator)),apply(apply(apply(apply(apply(b,h),
% apply(b,b)),
% apply(h,b)),combinator),
% apply(b,X))) -> (true)
% Rule [323]
% (eq)(apply(X,apply(apply(apply(h,h),b),Y)),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(b,Y))) -> (false) is composed into 
% [323]
% (eq)(apply(X,apply(apply(apply(h,h),b),Y)),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(b,Y))) -> (true)
% Rule [322]
% (eq)(apply(apply(apply(b,X),apply(apply(h,b),Y)),Z),apply(apply(
% apply(b,combinator),
% apply(
% apply(b,X),Y)),
% apply(Z,Y))) ->
% (false) is composed into [322]
% (eq)(apply(apply(apply(b,X),apply(apply(h,b),Y)),Z),
% apply(apply(apply(b,combinator),apply(apply(b,X),Y)),
% apply(Z,Y))) -> (true)
% Rule [321]
% (eq)(apply(apply(apply(h,b),X),apply(apply(b,Y),Z)),apply(apply(
% apply(b,combinator),
% apply(
% apply(b,X),Y)),
% apply(Z,X))) ->
% (false) is composed into [321]
% (eq)(apply(apply(apply(h,b),X),apply(apply(b,Y),Z)),
% apply(apply(apply(b,combinator),apply(apply(b,X),Y)),
% apply(Z,X))) -> (true)
% Rule [320]
% (eq)(apply(X,apply(combinator,combinator)),apply(apply(apply(apply(
% apply(b,h),h),
% apply(apply(b,b),b)),combinator),
% apply(b,X))) -> (false) is composed into 
% [320]
% (eq)(apply(X,apply(combinator,combinator)),apply(apply(apply(apply(apply(b,h),h),
% apply(apply(b,b),b)),combinator),
% apply(b,X))) -> (true)
% Rule [319]
% (eq)(apply(X,apply(combinator,Y)),apply(apply(apply(apply(apply(
% apply(b,h),
% apply(b,b)),b),combinator),
% apply(b,X)),Y)) -> (false) is composed into 
% [319]
% (eq)(apply(X,apply(combinator,Y)),apply(apply(apply(apply(apply(apply(b,h),
% apply(b,b)),b),combinator),
% apply(b,X)),Y)) -> (true)
% Rule [318]
% (eq)(apply(apply(apply(b,X),Y),apply(b,Y)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(h,h),b),Y)))
% -> (false) is composed into [318]
% (eq)(apply(apply(apply(b,X),Y),apply(b,Y)),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(h,h),b),Y)))
% -> (true)
% Rule [317]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(b,X)),Y),Z),Y),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(
% apply(h,b),Y),Z)))
% -> (false) is composed into [317]
% (eq)(apply(apply(apply(apply(apply(b,b),
% apply(b,X)),Y),Z),Y),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(h,b),Y),Z)))
% -> (true)
% Rule [316]
% (eq)(apply(apply(apply(h,apply(apply(b,b),apply(b,X))),Y),Z),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(
% apply(b,Y),Z),Y)))
% -> (false) is composed into [316]
% (eq)(apply(apply(apply(h,apply(apply(b,b),
% apply(b,X))),Y),Z),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(b,Y),Z),Y)))
% -> (true)
% Rule [315]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),h),b),X),Y),apply(
% apply(
% apply(b,combinator),
% apply(h,X)),
% apply(Y,
% apply(h,X))))
% -> (false) is composed into [315]
% (eq)(apply(apply(apply(apply(apply(h,
% apply(b,b)),h),b),X),Y),
% apply(apply(apply(b,combinator),apply(h,X)),
% apply(Y,apply(h,X)))) -> (true)
% Rule [314]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),h),X),Y),Z),apply(
% apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(Z,
% apply(X,Y))))
% -> (false) is composed into [314]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),h),X),Y),Z),
% apply(apply(apply(b,combinator),apply(X,Y)),
% apply(Z,apply(X,Y)))) -> (true)
% Rule [313]
% (eq)(apply(apply(apply(h,b),apply(X,Y)),Y),apply(apply(apply(b,combinator),
% apply(X,Y)),apply(
% apply(
% apply(h,b),Y),X)))
% -> (false) is composed into [313]
% (eq)(apply(apply(apply(h,b),apply(X,Y)),Y),
% apply(apply(apply(b,combinator),apply(X,Y)),
% apply(apply(apply(h,b),Y),X))) -> (true)
% Rule [312]
% (eq)(apply(apply(apply(apply(h,b),X),Y),Z),apply(apply(apply(apply(
% apply(
% apply(b,b),b),combinator),X),
% apply(Y,X)),Z)) ->
% (false) is composed into [312]
% (eq)(apply(apply(apply(apply(h,b),X),Y),Z),
% apply(apply(apply(apply(apply(apply(b,b),b),combinator),X),
% apply(Y,X)),Z)) -> (true)
% Rule [311]
% (eq)(apply(X,apply(apply(apply(h,b),Y),Z)),apply(apply(apply(apply(
% apply(b,b),
% apply(b,combinator)),X),Y),
% apply(Z,Y))) -> (false) is composed into 
% [311]
% (eq)(apply(X,apply(apply(apply(h,b),Y),Z)),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),X),Y),
% apply(Z,Y))) -> (true)
% Rule [310]
% (eq)(apply(X,apply(combinator,Y)),apply(apply(apply(apply(h,apply(
% apply(
% apply(
% apply(b,b),b),b),b)),combinator),X),Y))
% -> (false) is composed into [310]
% (eq)(apply(X,apply(combinator,Y)),apply(
% apply(
% apply(
% apply(h,
% apply(
% apply(
% apply(
% apply(b,b),b),b),b)),combinator),X),Y))
% -> (true)
% Rule [309]
% (eq)(apply(X,apply(Y,Z)),apply(apply(apply(apply(apply(apply(apply(
% apply(h,b),b),b),b),combinator),X),Y),Z))
% -> (false) is composed into [309]
% (eq)(apply(X,apply(Y,Z)),apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(h,b),b),b),b),combinator),X),Y),Z))
% -> (true)
% Rule [308]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(
% apply(b,h),h),X),Y)),Z))
% -> (false) is composed into [308]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Y),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,h),h),X),Y)),Z))
% -> (true)
% Rule [307]
% (eq)(apply(apply(apply(apply(X,h),Y),Z),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(
% apply(h,b),h),X),Y)),Z))
% -> (false) is composed into [307]
% (eq)(apply(apply(apply(apply(X,h),Y),Z),Y),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(h,b),h),X),Y)),Z))
% -> (true)
% Rule [306]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),V_3),apply(apply(apply(b,combinator),
% apply(apply(apply(
% apply(b,h),X),Y),Z)),V_3))
% -> (false) is composed into [306]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),V_3),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,h),X),Y),Z)),V_3))
% -> (true)
% Rule [305]
% (eq)(apply(apply(apply(h,apply(apply(apply(b,b),X),Y)),Y),Z),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,X),Y)),
% apply(Y,Z)))
% -> (false) is composed into [305]
% (eq)(apply(apply(apply(h,apply(apply(
% apply(b,b),X),Y)),Y),Z),
% apply(apply(apply(b,combinator),apply(
% apply(h,X),Y)),
% apply(Y,Z))) -> (true)
% Rule [304]
% (eq)(apply(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),Y),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,X),Y)),
% apply(Z,Y)))
% -> (false) is composed into [304]
% (eq)(apply(apply(apply(apply(h,apply(
% apply(b,b),X)),Y),Z),Y),
% apply(apply(apply(b,combinator),apply(
% apply(h,X),Y)),
% apply(Z,Y))) -> (true)
% Rule [303]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),Y),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,X),Y)),
% apply(X,Z)))
% -> (false) is composed into [303]
% (eq)(apply(apply(apply(apply(apply(h,
% apply(b,b)),X),Y),Z),Y),
% apply(apply(apply(b,combinator),apply(
% apply(h,X),Y)),
% apply(X,Z))) -> (true)
% Rule [302]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),b),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,X),b)),
% apply(Y,Z)))
% -> (false) is composed into [302]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),b),
% apply(apply(apply(b,combinator),apply(
% apply(h,X),b)),
% apply(Y,Z))) -> (true)
% Rule [301]
% (eq)(apply(apply(apply(apply(h,apply(b,X)),Y),Z),apply(Y,Z)),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,X),
% apply(Y,Z))),Y))
% -> (false) is composed into [301]
% (eq)(apply(apply(apply(apply(h,apply(b,X)),Y),Z),
% apply(Y,Z)),apply(apply(apply(b,combinator),
% apply(apply(h,X),
% apply(Y,Z))),Y)) ->
% (true)
% Rule [300]
% (eq)(apply(apply(apply(apply(apply(h,b),X),Y),Z),apply(Y,X)),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,X),
% apply(Y,X))),Z))
% -> (false) is composed into [300]
% (eq)(apply(apply(apply(apply(apply(h,b),X),Y),Z),
% apply(Y,X)),apply(apply(apply(b,combinator),
% apply(apply(h,X),
% apply(Y,X))),Z)) ->
% (true)
% Rule [299]
% (eq)(apply(X,apply(apply(apply(Y,Z),Y),Z)),apply(apply(apply(b,combinator),
% apply(apply(b,X),
% apply(apply(h,h),Y))),Z))
% -> (false) is composed into [299]
% (eq)(apply(X,apply(apply(apply(Y,Z),Y),Z)),
% apply(apply(apply(b,combinator),apply(
% apply(b,X),
% apply(
% apply(h,h),Y))),Z))
% -> (true)
% Rule [298]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),apply(apply(
% apply(b,combinator),
% apply(
% apply(b,X),
% apply(
% apply(h,Y),Z))),V_3))
% -> (false) is composed into [298]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),
% apply(apply(apply(b,combinator),apply(
% apply(b,X),
% apply(
% apply(h,Y),Z))),V_3))
% -> (true)
% Rule [297]
% (eq)(apply(X,apply(apply(apply(h,h),Y),Z)),apply(apply(apply(b,combinator),
% apply(apply(b,X),
% apply(apply(Y,Z),Y))),Z))
% -> (false) is composed into [297]
% (eq)(apply(X,apply(apply(apply(h,h),Y),Z)),
% apply(apply(apply(b,combinator),apply(
% apply(b,X),
% apply(
% apply(Y,Z),Y))),Z))
% -> (true)
% Rule [296]
% (eq)(apply(X,apply(apply(apply(h,apply(b,Y)),Z),V_3)),apply(apply(
% apply(b,combinator),
% apply(
% apply(b,X),
% apply(Y,
% apply(Z,V_3)))),Z))
% -> (false) is composed into [296]
% (eq)(apply(X,apply(apply(apply(h,apply(b,Y)),Z),V_3)),
% apply(apply(apply(b,combinator),apply(
% apply(b,X),
% apply(Y,
% apply(Z,V_3)))),Z))
% -> (true)
% Rule [295]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),apply(apply(
% apply(b,combinator),
% apply(
% apply(b,X),
% apply(
% apply(Y,Z),V_3))),Z))
% -> (false) is composed into [295]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),
% apply(apply(apply(b,combinator),apply(
% apply(b,X),
% apply(
% apply(Y,Z),V_3))),Z))
% -> (true)
% Rule [294]
% (eq)(apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))),apply(apply(
% apply(b,combinator),X),
% apply(apply(
% apply(b,Y),Z),
% apply(V_3,V_4))))
% -> (false) is composed into [294]
% (eq)(apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(b,Y),Z),
% apply(V_3,V_4))))
% -> (true)
% Rule [293]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(h,b)),X),Y),
% apply(apply(apply(b,combinator),X),apply(apply(Y,X),X))) -> (false) is composed into 
% [293]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,b)),apply(h,b)),X),Y),
% apply(apply(apply(b,combinator),X),apply(apply(Y,X),X))) -> (true)
% Rule [292]
% (eq)(apply(X,apply(apply(apply(apply(h,Y),Z),V_3),V_3)),apply(combinator,
% apply(apply(
% apply(b,X),
% apply(
% apply(h,
% apply(Y,Z)),V_3)),Z)))
% -> (false) is composed into [292]
% (eq)(apply(X,apply(apply(apply(apply(h,Y),Z),V_3),V_3)),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(h,
% apply(Y,Z)),V_3)),Z)))
% -> (true)
% Rule [291]
% (eq)(apply(X,apply(apply(apply(h,apply(Y,Z)),V_3),Z)),apply(combinator,
% apply(apply(
% apply(b,X),
% apply(
% apply(
% apply(h,Y),Z),V_3)),V_3)))
% -> (false) is composed into [291]
% (eq)(apply(X,apply(apply(apply(h,apply(Y,Z)),V_3),Z)),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(apply(h,Y),Z),V_3)),V_3)))
% -> (true)
% Rule [290]
% (eq)(apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))),apply(combinator,
% apply(apply(
% apply(b,X),
% apply(
% apply(b,Y),Z)),
% apply(V_3,V_4))))
% -> (false) is composed into [290]
% (eq)(apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(b,Y),Z)),
% apply(V_3,V_4)))) -> (true)
% Rule [289]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(combinator,apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),b),X),
% apply(b,Y)),Z),V_3)))
% -> (false) is composed into [289]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),
% apply(combinator,apply(apply(apply(apply(
% apply(
% apply(b,b),b),X),
% apply(b,Y)),Z),V_3)))
% -> (true)
% Rule [288]
% (eq)(apply(apply(X,Y),apply(apply(apply(b,Z),V_3),V_4)),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(b,b),X),Y),Z),
% apply(V_3,V_4))))
% -> (false) is composed into [288]
% (eq)(apply(apply(X,Y),apply(apply(apply(b,Z),V_3),V_4)),
% apply(combinator,apply(apply(apply(apply(
% apply(b,b),X),Y),Z),
% apply(V_3,V_4)))) -> (true)
% Rule [287]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),apply(V_3,V_4)),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(b,b),X),
% apply(Y,Z)),V_3),V_4)))
% -> (false) is composed into [287]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),
% apply(V_3,V_4)),apply(combinator,
% apply(apply(apply(
% apply(
% apply(b,b),X),
% apply(Y,Z)),V_3),V_4)))
% -> (true)
% Rule [286]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),apply(V_3,V_4))),apply(combinator,
% apply(apply(
% apply(b,X),Y),
% apply(apply(
% apply(b,Z),V_3),V_4))))
% -> (false) is composed into [286]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),
% apply(V_3,V_4))),apply(combinator,
% apply(
% apply(
% apply(b,X),Y),
% apply(
% apply(
% apply(b,Z),V_3),V_4))))
% -> (true)
% Rule [285]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(h,b)),X),apply(b,Y)),Z),
% apply(apply(apply(b,combinator),X),apply(Y,apply(Z,X)))) -> (false) is composed into 
% [285]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(h,b)),X),apply(b,Y)),Z),
% apply(apply(apply(b,combinator),X),apply(Y,apply(Z,X)))) -> (true)
% Rule [284]
% (eq)(apply(apply(apply(h,b),X),apply(apply(b,Y),Z)),apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(b,combinator)),X),Y),
% apply(Z,X))) ->
% (false) is composed into [284]
% (eq)(apply(apply(apply(h,b),X),apply(apply(b,Y),Z)),
% apply(apply(apply(apply(apply(b,b),apply(b,combinator)),X),Y),
% apply(Z,X))) -> (true)
% Rule [283]
% (eq)(apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))),apply(apply(
% apply(b,combinator),
% apply(
% apply(b,X),Y)),
% apply(Z,
% apply(V_3,V_4))))
% -> (false) is composed into [283]
% (eq)(apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))),
% apply(apply(apply(b,combinator),apply(
% apply(b,X),Y)),
% apply(Z,apply(V_3,V_4)))) -> (true)
% Rule [282]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),apply(V_3,V_4))),apply(apply(
% apply(b,combinator),X),
% apply(Y,
% apply(apply(
% apply(b,Z),V_3),V_4))))
% -> (false) is composed into [282]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),
% apply(V_3,V_4))),apply(
% apply(
% apply(b,combinator),X),
% apply(Y,
% apply(
% apply(
% apply(b,Z),V_3),V_4))))
% -> (true)
% Rule [281]
% (eq)(apply(apply(apply(h,h),apply(apply(b,b),X)),Y),apply(apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(apply(
% apply(b,b),X),Y)))
% -> (false) is composed into [281]
% (eq)(apply(apply(apply(h,h),apply(apply(b,b),X)),Y),
% apply(apply(apply(b,combinator),apply(X,Y)),
% apply(apply(apply(b,b),X),Y))) -> (true)
% Rule [280]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(b,combinator)),
% apply(X,Y)),Z),Y))
% -> (false) is composed into [280]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),
% apply(apply(apply(apply(apply(b,b),apply(b,combinator)),
% apply(X,Y)),Z),Y)) -> (true)
% Rule [279]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),X),Y),
% apply(Z,Y))) ->
% (false) is composed into [279]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),
% apply(apply(apply(apply(apply(apply(b,b),b),combinator),X),Y),
% apply(Z,Y))) -> (true)
% Rule [278]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(b,combinator)),
% apply(X,Y)),X),Z))
% -> (false) is composed into [278]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),
% apply(apply(apply(apply(apply(b,b),apply(b,combinator)),
% apply(X,Y)),X),Z)) -> (true)
% Rule [277]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),X),Y),
% apply(X,Z))) ->
% (false) is composed into [277]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),
% apply(apply(apply(apply(apply(apply(b,b),b),combinator),X),Y),
% apply(X,Z))) -> (true)
% Rule [276]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(b,combinator)),
% apply(X,b)),Y),Z))
% -> (false) is composed into [276]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),
% apply(apply(apply(apply(apply(b,b),apply(b,combinator)),
% apply(X,b)),Y),Z)) -> (true)
% Rule [275]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),X),b),
% apply(Y,Z))) ->
% (false) is composed into [275]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),
% apply(apply(apply(apply(apply(apply(b,b),b),combinator),X),b),
% apply(Y,Z))) -> (true)
% Rule [274]
% (eq)(apply(apply(apply(b,X),apply(b,combinator)),apply(b,combinator)),
% apply(apply(apply(apply(apply(b,h),h),apply(b,b)),apply(b,combinator)),X))
% -> (false) is composed into [274]
% (eq)(apply(apply(apply(b,X),apply(b,combinator)),
% apply(b,combinator)),apply(apply(
% apply(
% apply(
% apply(b,h),h),
% apply(b,b)),
% apply(b,combinator)),X))
% -> (true)
% Rule [273]
% (eq)(apply(apply(apply(b,X),Y),X),apply(apply(apply(h,apply(apply(
% apply(
% apply(
% apply(b,b),b),b),b),combinator)),X),Y))
% -> (false) is composed into [273]
% (eq)(apply(apply(apply(b,X),Y),X),apply(
% apply(
% apply(h,
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),combinator)),X),Y))
% -> (true)
% Rule [272]
% (eq)(apply(apply(apply(h,b),X),Y),apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),b),b),combinator),X),Y),X))
% -> (false) is composed into [272]
% (eq)(apply(apply(apply(h,b),X),Y),apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),combinator),X),Y),X))
% -> (true)
% Rule [271]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(h,Y)),Z),V_3),
% apply(combinator,apply(X,apply(apply(apply(Y,Z),V_3),Z)))) -> (false) is composed into 
% [271]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(h,Y)),Z),V_3),
% apply(combinator,apply(X,apply(apply(apply(Y,Z),V_3),Z)))) -> (true)
% Rule [270]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(Y,Z)),V_3),Z),
% apply(combinator,apply(X,apply(apply(apply(h,Y),Z),V_3)))) -> (false) is composed into 
% [270]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(Y,Z)),V_3),Z),
% apply(combinator,apply(X,apply(apply(apply(h,Y),Z),V_3)))) -> (true)
% Rule [269]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),apply(apply(b,Z),V_3))),V_4),
% apply(combinator,apply(X,apply(Y,apply(Z,apply(V_3,V_4)))))) -> (false) is composed into 
% [269]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),apply(apply(b,Z),V_3))),V_4),
% apply(combinator,apply(X,apply(Y,apply(Z,apply(V_3,V_4)))))) -> (true)
% Rule [268]
% (eq)(apply(apply(apply(b,X),apply(apply(apply(apply(b,b),Y),Z),V_3)),V_4),
% apply(combinator,apply(X,apply(apply(Y,Z),apply(V_3,V_4))))) -> (false) is composed into 
% [268]
% (eq)(apply(apply(apply(b,X),apply(apply(apply(apply(b,b),Y),Z),V_3)),V_4),
% apply(combinator,apply(X,apply(apply(Y,Z),apply(V_3,V_4))))) -> (true)
% Rule [267]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),apply(apply(b,Z),V_3)),V_4),
% apply(combinator,apply(apply(X,Y),apply(Z,apply(V_3,V_4))))) -> (false) is composed into 
% [267]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),apply(apply(b,Z),V_3)),V_4),
% apply(combinator,apply(apply(X,Y),apply(Z,apply(V_3,V_4))))) -> (true)
% Rule [266]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(apply(b,X),Y)),Z),V_3),V_4),
% apply(combinator,apply(apply(X,apply(Y,Z)),apply(V_3,V_4)))) -> (false) is composed into 
% [266]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(apply(b,X),Y)),Z),V_3),V_4),
% apply(combinator,apply(apply(X,apply(Y,Z)),apply(V_3,V_4)))) -> (true)
% Rule [265]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,apply(V_3,V_4))),apply(combinator,
% apply(X,
% apply(apply(
% apply(b,Y),
% apply(
% apply(b,Z),V_3)),V_4))))
% -> (false) is composed into [265]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,
% apply(V_3,V_4))),
% apply(combinator,apply(X,apply(apply(
% apply(b,Y),
% apply(
% apply(b,Z),V_3)),V_4))))
% -> (true)
% Rule [264]
% (eq)(apply(apply(apply(b,X),apply(Y,Z)),apply(V_3,V_4)),apply(combinator,
% apply(X,
% apply(apply(
% apply(
% apply(
% apply(b,b),Y),Z),V_3),V_4))))
% -> (false) is composed into [264]
% (eq)(apply(apply(apply(b,X),apply(Y,Z)),
% apply(V_3,V_4)),apply(combinator,
% apply(X,apply(apply(
% apply(
% apply(
% apply(b,b),Y),Z),V_3),V_4))))
% -> (true)
% Rule [263]
% (eq)(apply(apply(X,apply(Y,combinator)),Z),apply(apply(apply(apply(h,
% apply(
% apply(b,b),b)),combinator),
% apply(apply(b,X),Y)),Z))
% -> (false) is composed into [263]
% (eq)(apply(apply(X,apply(Y,combinator)),Z),
% apply(apply(apply(apply(h,apply(apply(b,b),b)),combinator),
% apply(apply(b,X),Y)),Z)) -> (true)
% Rule [262]
% (eq)(apply(apply(apply(apply(apply(b,b),X),combinator),Y),Z),apply(
% apply(
% apply(
% apply(h,
% apply(
% apply(b,b),b)),combinator),X),
% apply(Y,Z)))
% -> (false) is composed into [262]
% (eq)(apply(apply(apply(apply(apply(b,b),X),combinator),Y),Z),
% apply(apply(apply(apply(h,apply(apply(b,b),b)),combinator),X),
% apply(Y,Z))) -> (true)
% Rule [261]
% (eq)(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),apply(apply(
% apply(
% apply(
% apply(h,
% apply(b,b)),b),combinator),X),
% apply(Y,Z))) ->
% (false) is composed into [261]
% (eq)(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),
% apply(apply(apply(apply(apply(h,apply(b,b)),b),combinator),X),
% apply(Y,Z))) -> (true)
% Rule [260]
% (eq)(apply(X,apply(apply(b,combinator),Y)),apply(apply(apply(apply(
% apply(
% apply(
% apply(b,b),h),
% apply(b,b)),b),combinator),X),Y))
% -> (false) is composed into [260]
% (eq)(apply(X,apply(apply(b,combinator),Y)),
% apply(apply(apply(apply(apply(apply(
% apply(b,b),h),
% apply(b,b)),b),combinator),X),Y))
% -> (true)
% Rule [259]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(b,b),
% apply(b,X)),Y),Z)),V_3))
% -> (false) is composed into [259]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,b),
% apply(b,X)),Y),Z)),V_3))
% -> (true)
% Rule [258]
% (eq)(apply(apply(apply(b,X),apply(Y,apply(Z,V_3))),Z),apply(apply(
% apply(b,combinator),X),
% apply(apply(
% apply(h,
% apply(b,Y)),Z),V_3)))
% -> (false) is composed into [258]
% (eq)(apply(apply(apply(b,X),apply(Y,
% apply(Z,V_3))),Z),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(h,
% apply(b,Y)),Z),V_3)))
% -> (true)
% Rule [257]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,
% apply(b,X)),Y)),
% apply(Z,V_3))) ->
% (false) is composed into [257]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),Y),
% apply(apply(apply(b,combinator),apply(apply(h,
% apply(b,X)),Y)),
% apply(Z,V_3))) -> (true)
% Rule [256]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(apply(apply(apply(apply(
% apply(b,b),b),combinator),
% apply(h,apply(b,X))),Y),Z))
% -> (false) is composed into [256]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),
% apply(h,
% apply(b,X))),Y),Z))
% -> (true)
% Rule [255]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),apply(Y,Z)),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),h),X),Y),Z),V_3)))
% -> (false) is composed into [255]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),
% apply(Y,Z)),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),h),X),Y),Z),V_3)))
% -> (true)
% Rule [254]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),apply(Z,V_3)),apply(apply(
% apply(b,combinator),
% apply(X,
% apply(
% apply(
% apply(b,Y),Z),V_3))),Y))
% -> (false) is composed into [254]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),
% apply(Z,V_3)),apply(apply(apply(b,combinator),
% apply(X,apply(
% apply(
% apply(b,Y),Z),V_3))),Y))
% -> (true)
% Rule [253]
% (eq)(apply(apply(X,apply(Y,Z)),combinator),apply(apply(apply(apply(
% apply(b,b),
% apply(h,b)),combinator),
% apply(apply(b,X),Y)),Z))
% -> (false) is composed into [253]
% (eq)(apply(apply(X,apply(Y,Z)),combinator),
% apply(apply(apply(apply(apply(b,b),apply(h,b)),combinator),
% apply(apply(b,X),Y)),Z)) -> (true)
% Rule [252]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),combinator),Y),apply(
% apply(
% apply(h,b),combinator),
% apply(
% apply(h,
% apply(
% apply(X,Y),Z)),Y)))
% -> (false) is composed into [252]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),combinator),Y),
% apply(apply(apply(h,b),combinator),apply(
% apply(h,
% apply(
% apply(X,Y),Z)),Y)))
% -> (true)
% Rule [251]
% (eq)(apply(X,apply(apply(Y,Z),combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(apply(apply(
% apply(b,b),b),X),Y),Z)))
% -> (false) is composed into [251]
% (eq)(apply(X,apply(apply(Y,Z),combinator)),
% apply(apply(apply(h,b),combinator),apply(
% apply(
% apply(
% apply(
% apply(b,b),b),X),Y),Z)))
% -> (true)
% Rule [250]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(b,Y)),Z),V_3),
% apply(apply(apply(b,combinator),X),apply(Y,apply(Z,V_3)))) -> (false) is composed into 
% [250]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(b,Y)),Z),V_3),
% apply(apply(apply(b,combinator),X),apply(Y,apply(Z,V_3)))) -> (true)
% Rule [249]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(b,combinator)),X),Y),
% apply(Z,V_3))) ->
% (false) is composed into [249]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),
% apply(apply(apply(apply(apply(b,b),apply(b,combinator)),X),Y),
% apply(Z,V_3))) -> (true)
% Rule [248]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(b,combinator)),
% apply(X,Y)),Z),V_3))
% -> (false) is composed into [248]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),
% apply(apply(apply(apply(apply(b,b),apply(b,combinator)),
% apply(X,Y)),Z),V_3)) -> (true)
% Rule [247]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),b),b),combinator),X),Y),Z))
% -> (false) is composed into [247]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),combinator),X),Y),Z))
% -> (true)
% Rule [246]
% (eq)(apply(apply(X,apply(Y,Z)),V_3),apply(apply(apply(apply(apply(
% apply(b,b),b),combinator),
% apply(apply(b,X),Y)),Z),V_3))
% -> (false) is composed into [246]
% (eq)(apply(apply(X,apply(Y,Z)),V_3),
% apply(apply(apply(apply(apply(apply(b,b),b),combinator),
% apply(apply(b,X),Y)),Z),V_3)) ->
% (true)
% Rule [245]
% (eq)(apply(X,apply(apply(Y,Z),Y)),apply(combinator,apply(apply(apply(h,
% apply(
% apply(
% apply(b,b),b),X)),Y),Z)))
% -> (false) is composed into [245]
% (eq)(apply(X,apply(apply(Y,Z),Y)),apply(combinator,
% apply(
% apply(
% apply(h,
% apply(
% apply(
% apply(b,b),b),X)),Y),Z)))
% -> (true)
% Rule [244]
% (eq)(apply(X,apply(apply(b,Y),Z)),apply(combinator,apply(apply(apply(
% apply(
% apply(h,
% apply(b,b)),b),X),Y),Z)))
% -> (false) is composed into [244]
% (eq)(apply(X,apply(apply(b,Y),Z)),apply(combinator,
% apply(
% apply(
% apply(
% apply(
% apply(h,
% apply(b,b)),b),X),Y),Z)))
% -> (true)
% Rule [243]
% (eq)(apply(apply(apply(b,X),apply(Y,Z)),V_3),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),X),Y),Z),V_3)))
% -> (false) is composed into [243]
% (eq)(apply(apply(apply(b,X),apply(Y,Z)),V_3),
% apply(combinator,apply(apply(apply(apply(
% apply(
% apply(b,b),b),X),Y),Z),V_3)))
% -> (true)
% Rule [242]
% (eq)(apply(apply(apply(h,b),X),apply(apply(h,h),Y)),apply(apply(
% apply(b,combinator),X),
% apply(apply(
% apply(Y,X),Y),X)))
% -> (false) is composed into [242]
% (eq)(apply(apply(apply(h,b),X),apply(
% apply(h,h),Y)),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(Y,X),Y),X)))
% -> (true)
% Rule [241]
% (eq)(apply(apply(apply(h,b),X),apply(apply(h,apply(b,Y)),Z)),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(Y,
% apply(Z,X)),Z)))
% -> (false) is composed into [241]
% (eq)(apply(apply(apply(h,b),X),apply(
% apply(h,
% apply(b,Y)),Z)),
% apply(apply(apply(b,combinator),X),apply(
% apply(Y,
% apply(Z,X)),Z)))
% -> (true)
% Rule [240]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),apply(h,b)),X),Y),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(
% apply(h,b),Y),X)))
% -> (false) is composed into [240]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),
% apply(h,b)),X),Y),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(
% apply(h,b),Y),X)))
% -> (true)
% Rule [239]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),X),
% apply(apply(b,Y),Z)),V_3)) ->
% (false) is composed into [239]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(
% apply(
% apply(
% apply(
% apply(b,b),
% apply(b,combinator)),X),
% apply(
% apply(b,Y),Z)),V_3))
% -> (true)
% Rule [238]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,
% apply(
% apply(X,Y),Z)),Y)),V_3))
% -> (false) is composed into [238]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),
% apply(apply(apply(b,combinator),apply(
% apply(h,
% apply(
% apply(X,Y),Z)),Y)),V_3))
% -> (true)
% Rule [237]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Z)),Y),V_3),apply(apply(
% apply(b,combinator),
% apply(
% apply(
% apply(
% apply(h,X),Y),Z),V_3)),Y))
% -> (false) is composed into [237]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Z)),Y),V_3),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(h,X),Y),Z),V_3)),Y))
% -> (true)
% Rule [236]
% (eq)(apply(X,apply(apply(Y,Z),V_3)),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(
% apply(b,b),b),X),Y),Z)),V_3))
% -> (false) is composed into [236]
% (eq)(apply(X,apply(apply(Y,Z),V_3)),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(
% apply(b,b),b),X),Y),Z)),V_3))
% -> (true)
% Rule [235]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),
% apply(apply(b,X),Y)),Z),V_3))
% -> (false) is composed into [235]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),
% apply(apply(apply(apply(apply(b,b),apply(b,combinator)),
% apply(apply(b,X),Y)),Z),V_3)) ->
% (true)
% Rule [234]
% (eq)(apply(X,apply(apply(apply(Y,Z),Y),Z)),apply(combinator,apply(
% apply(
% apply(b,X),
% apply(
% apply(h,h),Y)),Z)))
% -> (false) is composed into [234]
% (eq)(apply(X,apply(apply(apply(Y,Z),Y),Z)),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(h,h),Y)),Z)))
% -> (true)
% Rule [233]
% (eq)(apply(X,apply(apply(Y,apply(Z,V_3)),Z)),apply(combinator,apply(
% apply(
% apply(b,X),
% apply(
% apply(h,
% apply(b,Y)),Z)),V_3)))
% -> (false) is composed into [233]
% (eq)(apply(X,apply(apply(Y,apply(Z,V_3)),Z)),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(h,
% apply(b,Y)),Z)),V_3)))
% -> (true)
% Rule [232]
% (eq)(apply(X,apply(apply(apply(h,h),Y),Z)),apply(combinator,apply(
% apply(
% apply(b,X),
% apply(
% apply(Y,Z),Y)),Z)))
% -> (false) is composed into [232]
% (eq)(apply(X,apply(apply(apply(h,h),Y),Z)),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(Y,Z),Y)),Z)))
% -> (true)
% Rule [231]
% (eq)(apply(X,apply(apply(apply(b,Y),apply(apply(b,Z),V_3)),V_4)),
% apply(combinator,apply(apply(apply(b,X),Y),apply(Z,apply(V_3,V_4))))) ->
% (false) is composed into [231]
% (eq)(apply(X,apply(apply(apply(b,Y),apply(
% apply(b,Z),V_3)),V_4)),
% apply(combinator,apply(apply(apply(b,X),Y),
% apply(Z,apply(V_3,V_4))))) ->
% (true)
% Rule [230]
% (eq)(apply(X,apply(apply(apply(apply(apply(b,b),Y),Z),V_3),V_4)),
% apply(combinator,apply(apply(apply(b,X),apply(Y,Z)),apply(V_3,V_4)))) ->
% (false) is composed into [230]
% (eq)(apply(X,apply(apply(apply(apply(apply(b,b),Y),Z),V_3),V_4)),
% apply(combinator,apply(apply(apply(b,X),
% apply(Y,Z)),apply(V_3,V_4))))
% -> (true)
% Rule [229]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,b),
% apply(b,X)),Y),Z),V_3)))
% -> (false) is composed into [229]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),
% apply(combinator,apply(apply(apply(apply(
% apply(b,b),
% apply(b,X)),Y),Z),V_3)))
% -> (true)
% Rule [228]
% (eq)(apply(X,apply(apply(apply(b,Y),apply(apply(b,Z),V_3)),V_4)),
% apply(apply(apply(b,combinator),X),apply(Y,apply(Z,apply(V_3,V_4))))) ->
% (false) is composed into [228]
% (eq)(apply(X,apply(apply(apply(b,Y),apply(
% apply(b,Z),V_3)),V_4)),
% apply(apply(apply(b,combinator),X),apply(Y,
% apply(Z,
% apply(V_3,V_4)))))
% -> (true)
% Rule [227]
% (eq)(apply(X,apply(apply(apply(apply(apply(b,b),Y),Z),V_3),V_4)),
% apply(apply(apply(b,combinator),X),apply(apply(Y,Z),apply(V_3,V_4)))) ->
% (false) is composed into [227]
% (eq)(apply(X,apply(apply(apply(apply(apply(b,b),Y),Z),V_3),V_4)),
% apply(apply(apply(b,combinator),X),apply(
% apply(Y,Z),
% apply(V_3,V_4))))
% -> (true)
% Rule [226]
% (eq)(apply(X,apply(apply(apply(h,apply(b,Y)),Z),V_3)),apply(combinator,
% apply(apply(
% apply(b,X),
% apply(Y,
% apply(Z,V_3))),Z)))
% -> (false) is composed into [226]
% (eq)(apply(X,apply(apply(apply(h,apply(b,Y)),Z),V_3)),
% apply(combinator,apply(apply(apply(b,X),
% apply(Y,apply(Z,V_3))),Z)))
% -> (true)
% Rule [225]
% (eq)(apply(apply(X,Y),apply(Z,Y)),apply(combinator,apply(apply(apply(h,
% apply(
% apply(b,b),X)),Y),Z)))
% -> (false) is composed into [225]
% (eq)(apply(apply(X,Y),apply(Z,Y)),apply(combinator,
% apply(
% apply(
% apply(h,
% apply(
% apply(b,b),X)),Y),Z)))
% -> (true)
% Rule [224]
% (eq)(apply(apply(X,Y),apply(X,Z)),apply(combinator,apply(apply(apply(
% apply(h,
% apply(b,b)),X),Y),Z)))
% -> (false) is composed into [224]
% (eq)(apply(apply(X,Y),apply(X,Z)),apply(combinator,
% apply(
% apply(
% apply(
% apply(h,
% apply(b,b)),X),Y),Z)))
% -> (true)
% Rule [223]
% (eq)(apply(apply(X,b),apply(Y,Z)),apply(combinator,apply(apply(apply(
% apply(
% apply(h,b),b),X),Y),Z)))
% -> (false) is composed into [223]
% (eq)(apply(apply(X,b),apply(Y,Z)),apply(combinator,
% apply(
% apply(
% apply(
% apply(
% apply(h,b),b),X),Y),Z)))
% -> (true)
% Rule [222]
% (eq)(apply(X,apply(apply(apply(h,b),Y),Z)),apply(combinator,apply(
% apply(
% apply(b,X),Y),
% apply(Z,Y))))
% -> (false) is composed into [222]
% (eq)(apply(X,apply(apply(apply(h,b),Y),Z)),
% apply(combinator,apply(apply(apply(b,X),Y),
% apply(Z,Y)))) -> (true)
% Rule [221]
% (eq)(apply(apply(apply(h,h),h),b),apply(apply(apply(b,combinator),h),
% apply(b,h))) -> (false) is composed into 
% [221]
% (eq)(apply(apply(apply(h,h),h),b),apply(apply(apply(b,combinator),h),
% apply(b,h))) -> (true)
% Rule [220]
% (eq)(apply(apply(apply(h,b),X),apply(apply(b,Y),Z)),apply(combinator,
% apply(apply(
% apply(b,X),Y),
% apply(Z,X)))) ->
% (false) is composed into [220]
% (eq)(apply(apply(apply(h,b),X),apply(apply(b,Y),Z)),
% apply(combinator,apply(apply(apply(b,X),Y),
% apply(Z,X)))) -> (true)
% Rule [219]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,b)),X),Y),Z),apply(
% apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(Z,Y)))
% -> (false) is composed into [219]
% (eq)(apply(apply(apply(apply(apply(b,h),
% apply(b,b)),X),Y),Z),
% apply(apply(apply(b,combinator),apply(X,Y)),
% apply(Z,Y))) -> (true)
% Rule [218]
% (eq)(apply(apply(apply(apply(apply(b,h),h),apply(b,b)),X),Y),apply(
% apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(X,X)))
% -> (false) is composed into [218]
% (eq)(apply(apply(apply(apply(apply(b,h),h),
% apply(b,b)),X),Y),apply(
% apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(X,X)))
% -> (true)
% Rule [217]
% (eq)(apply(apply(apply(apply(h,h),apply(b,b)),X),Y),apply(apply(
% apply(b,combinator),
% apply(X,
% apply(b,b))),
% apply(X,Y))) ->
% (false) is composed into [217]
% (eq)(apply(apply(apply(apply(h,h),apply(b,b)),X),Y),
% apply(apply(apply(b,combinator),apply(X,
% apply(b,b))),
% apply(X,Y))) -> (true)
% Rule [216]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),b),X),Y),Z),apply(
% apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(X,Z)))
% -> (false) is composed into [216]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),b),X),Y),Z),
% apply(apply(apply(b,combinator),apply(X,Y)),
% apply(X,Z))) -> (true)
% Rule [215]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(h,b)),b),X),Y),apply(
% apply(
% apply(b,combinator),
% apply(X,b)),
% apply(Y,X)))
% -> (false) is composed into [215]
% (eq)(apply(apply(apply(apply(apply(b,h),
% apply(h,b)),b),X),Y),
% apply(apply(apply(b,combinator),apply(X,b)),
% apply(Y,X))) -> (true)
% Rule [214]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),h),b),b),X),Y),apply(
% apply(
% apply(b,combinator),
% apply(X,b)),
% apply(b,Y)))
% -> (false) is composed into [214]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),h),b),b),X),Y),
% apply(apply(apply(b,combinator),apply(X,b)),
% apply(b,Y))) -> (true)
% Rule [213]
% (eq)(apply(apply(apply(apply(apply(h,h),b),b),X),Y),apply(apply(
% apply(b,combinator),
% apply(b,b)),
% apply(X,Y))) ->
% (false) is composed into [213]
% (eq)(apply(apply(apply(apply(apply(h,h),b),b),X),Y),
% apply(apply(apply(b,combinator),apply(b,b)),
% apply(X,Y))) -> (true)
% Rule [212]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),b),combinator),Y),
% apply(apply(apply(apply(h,apply(b,b)),apply(b,combinator)),X),Y)) ->
% (false) is composed into [212]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),b),combinator),Y),
% apply(apply(apply(apply(h,apply(b,b)),apply(b,combinator)),X),Y))
% -> (true)
% Rule [211]
% (eq)(apply(apply(apply(b,X),apply(b,combinator)),Y),apply(apply(
% apply(
% apply(
% apply(
% apply(b,h),b),b),
% apply(b,combinator)),X),Y))
% -> (false) is composed into [211]
% (eq)(apply(apply(apply(b,X),apply(b,combinator)),Y),
% apply(apply(apply(apply(apply(apply(b,h),b),b),
% apply(b,combinator)),X),Y)) ->
% (true)
% Rule [210]
% (eq)(apply(apply(apply(b,X),apply(apply(b,b),apply(b,combinator))),X),
% apply(apply(apply(h,h),apply(apply(b,b),apply(b,combinator))),X)) ->
% (false) is composed into [210]
% (eq)(apply(apply(apply(b,X),apply(apply(b,b),
% apply(b,combinator))),X),
% apply(apply(apply(h,h),apply(apply(b,b),
% apply(b,combinator))),X))
% -> (true)
% Rule [209]
% (eq)(apply(apply(apply(b,X),Y),X),apply(apply(apply(apply(apply(b,h),
% apply(b,b)),
% apply(b,combinator)),X),Y))
% -> (false) is composed into [209]
% (eq)(apply(apply(apply(b,X),Y),X),apply(
% apply(
% apply(
% apply(
% apply(b,h),
% apply(b,b)),
% apply(b,combinator)),X),Y))
% -> (true)
% Rule [208]
% (eq)(apply(apply(apply(h,b),X),apply(b,combinator)),apply(apply(
% apply(
% apply(h,
% apply(b,b)),
% apply(b,combinator)),X),X))
% -> (false) is composed into [208]
% (eq)(apply(apply(apply(h,b),X),apply(b,combinator)),
% apply(apply(apply(apply(h,apply(b,b)),
% apply(b,combinator)),X),X)) ->
% (true)
% Rule [207]
% (eq)(apply(apply(apply(h,h),b),X),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),X),b),X))
% -> (false) is composed into [207]
% (eq)(apply(apply(apply(h,h),b),X),apply(
% apply(
% apply(
% apply(
% apply(b,b),
% apply(b,combinator)),X),b),X))
% -> (true)
% Rule [206]
% (eq)(apply(apply(apply(h,b),X),Y),apply(apply(apply(h,apply(apply(b,b),
% apply(b,combinator))),X),Y))
% -> (false) is composed into [206]
% (eq)(apply(apply(apply(h,b),X),Y),apply(
% apply(
% apply(h,
% apply(
% apply(b,b),
% apply(b,combinator))),X),Y))
% -> (true)
% Rule [205]
% (eq)(apply(apply(apply(h,apply(apply(apply(b,b),b),X)),Y),Z),apply(combinator,
% apply(X,
% apply(
% apply(Y,Z),Y))))
% -> (false) is composed into [205]
% (eq)(apply(apply(apply(h,apply(apply(
% apply(b,b),b),X)),Y),Z),
% apply(combinator,apply(X,apply(apply(Y,Z),Y))))
% -> (true)
% Rule [204]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),b),X),Y),Z),apply(combinator,
% apply(X,
% apply(
% apply(b,Y),Z))))
% -> (false) is composed into [204]
% (eq)(apply(apply(apply(apply(apply(h,
% apply(b,b)),b),X),Y),Z),
% apply(combinator,apply(X,apply(apply(b,Y),Z))))
% -> (true)
% Rule [203]
% (eq)(apply(apply(apply(b,X),apply(apply(h,apply(Y,Z)),V_3)),Z),apply(combinator,
% apply(X,
% apply(
% apply(
% apply(
% apply(h,Y),Z),V_3),V_3))))
% -> (false) is composed into [203]
% (eq)(apply(apply(apply(b,X),apply(apply(h,
% apply(Y,Z)),V_3)),Z),
% apply(combinator,apply(X,apply(apply(
% apply(
% apply(h,Y),Z),V_3),V_3))))
% -> (true)
% Rule [202]
% (eq)(apply(apply(apply(b,X),apply(apply(apply(h,Y),Z),V_3)),V_3),
% apply(combinator,apply(X,apply(apply(apply(h,apply(Y,Z)),V_3),Z)))) ->
% (false) is composed into [202]
% (eq)(apply(apply(apply(b,X),apply(apply(
% apply(h,Y),Z),V_3)),V_3),
% apply(combinator,apply(X,apply(apply(apply(h,
% apply(Y,Z)),V_3),Z))))
% -> (true)
% Rule [201]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(b,Y)),Z),V_3),
% apply(combinator,apply(X,apply(Y,apply(Z,V_3))))) -> (false) is composed into 
% [201]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),apply(b,Y)),Z),V_3),
% apply(combinator,apply(X,apply(Y,apply(Z,V_3))))) -> (true)
% Rule [200]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),apply(V_3,V_4)),
% apply(combinator,apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))))) ->
% (false) is composed into [200]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),
% apply(V_3,V_4)),apply(combinator,apply(X,
% apply(Y,
% apply(
% apply(
% apply(b,Z),V_3),V_4)))))
% -> (true)
% Rule [199]
% (eq)(apply(apply(apply(apply(apply(b,b),X),apply(Y,Z)),V_3),V_4),
% apply(combinator,apply(apply(apply(apply(b,X),Y),Z),apply(V_3,V_4)))) ->
% (false) is composed into [199]
% (eq)(apply(apply(apply(apply(apply(b,b),X),
% apply(Y,Z)),V_3),V_4),
% apply(combinator,apply(apply(apply(apply(b,X),Y),Z),
% apply(V_3,V_4)))) -> (true)
% Rule [198]
% (eq)(apply(apply(apply(b,X),Y),apply(apply(apply(b,Z),V_3),V_4)),
% apply(combinator,apply(X,apply(apply(apply(b,Y),Z),apply(V_3,V_4))))) ->
% (false) is composed into [198]
% (eq)(apply(apply(apply(b,X),Y),apply(apply(
% apply(b,Z),V_3),V_4)),
% apply(combinator,apply(X,apply(apply(apply(b,Y),Z),
% apply(V_3,V_4))))) ->
% (true)
% Rule [197]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),apply(V_3,V_4)),
% apply(combinator,apply(apply(X,Y),apply(apply(apply(b,Z),V_3),V_4)))) ->
% (false) is composed into [197]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),
% apply(V_3,V_4)),apply(combinator,apply(
% apply(X,Y),
% apply(
% apply(
% apply(b,Z),V_3),V_4))))
% -> (true)
% Rule [196]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),X),apply(apply(apply(h,apply(
% apply(
% apply(b,b),b),combinator)),X),
% apply(Y,Z))) -> (false) is composed into 
% [196]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),X),apply(apply(apply(h,apply(
% apply(
% apply(b,b),b),combinator)),X),
% apply(Y,Z))) -> (true)
% Rule [195]
% (eq)(apply(apply(apply(apply(b,b),X),Y),Z),apply(apply(apply(apply(
% apply(h,
% apply(b,b)),b),combinator),
% apply(X,Y)),Z)) ->
% (false) is composed into [195]
% (eq)(apply(apply(apply(apply(b,b),X),Y),Z),
% apply(apply(apply(apply(apply(h,apply(b,b)),b),combinator),
% apply(X,Y)),Z)) -> (true)
% Rule [194]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(b,X),
% apply(Y,Z)),V_3)))
% -> (false) is composed into [194]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3),
% apply(combinator,apply(apply(apply(b,X),
% apply(Y,Z)),V_3))) ->
% (true)
% Rule [193]
% (eq)(apply(apply(apply(b,X),apply(apply(h,h),Y)),Z),apply(combinator,
% apply(X,apply(
% apply(
% apply(Y,Z),Y),Z))))
% -> (false) is composed into [193]
% (eq)(apply(apply(apply(b,X),apply(apply(h,h),Y)),Z),
% apply(combinator,apply(X,apply(apply(
% apply(Y,Z),Y),Z))))
% -> (true)
% Rule [192]
% (eq)(apply(apply(apply(b,X),apply(apply(h,apply(b,Y)),Z)),V_3),apply(combinator,
% apply(X,
% apply(
% apply(Y,
% apply(Z,V_3)),Z))))
% -> (false) is composed into [192]
% (eq)(apply(apply(apply(b,X),apply(apply(h,
% apply(b,Y)),Z)),V_3),
% apply(combinator,apply(X,apply(apply(Y,
% apply(Z,V_3)),Z))))
% -> (true)
% Rule [191]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),apply(combinator,
% apply(apply(
% apply(b,X),
% apply(
% apply(Y,Z),V_3)),Z)))
% -> (false) is composed into [191]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(Y,Z),V_3)),Z)))
% -> (true)
% Rule [190]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),apply(combinator,apply(X,
% apply(
% apply(
% apply(Y,Z),V_3),Z))))
% -> (false) is composed into [190]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),
% apply(combinator,apply(X,apply(apply(
% apply(Y,Z),V_3),Z))))
% -> (true)
% Rule [189]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),Y)),Z),apply(combinator,
% apply(X,apply(
% apply(
% apply(h,h),Y),Z))))
% -> (false) is composed into [189]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),Y)),Z),
% apply(combinator,apply(X,apply(apply(
% apply(h,h),Y),Z))))
% -> (true)
% Rule [188]
% (eq)(apply(apply(apply(b,X),apply(Y,apply(Z,V_3))),Z),apply(combinator,
% apply(X,apply(
% apply(
% apply(h,
% apply(b,Y)),Z),V_3))))
% -> (false) is composed into [188]
% (eq)(apply(apply(apply(b,X),apply(Y,
% apply(Z,V_3))),Z),
% apply(combinator,apply(X,apply(apply(
% apply(h,
% apply(b,Y)),Z),V_3))))
% -> (true)
% Rule [187]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),apply(combinator,
% apply(apply(
% apply(b,X),
% apply(
% apply(h,Y),Z)),V_3)))
% -> (false) is composed into [187]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(h,Y),Z)),V_3)))
% -> (true)
% Rule [186]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),apply(combinator,apply(X,
% apply(
% apply(
% apply(h,Y),Z),V_3))))
% -> (false) is composed into [186]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),
% apply(combinator,apply(X,apply(apply(
% apply(h,Y),Z),V_3))))
% -> (true)
% Rule [185]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(combinator,apply(X,
% apply(Y,
% apply(Z,V_3)))))
% -> (false) is composed into [185]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),
% apply(combinator,apply(X,apply(Y,apply(Z,V_3)))))
% -> (true)
% Rule [184]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),apply(combinator,
% apply(apply(
% apply(b,X),Y),
% apply(Z,V_3)))) ->
% (false) is composed into [184]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),
% apply(combinator,apply(apply(apply(b,X),Y),
% apply(Z,V_3)))) -> (true)
% Rule [183]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),apply(combinator,
% apply(apply(X,Y),
% apply(Z,Y)))) ->
% (false) is composed into [183]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),
% apply(combinator,apply(apply(X,Y),apply(Z,Y))))
% -> (true)
% Rule [182]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),apply(combinator,
% apply(apply(X,Y),
% apply(X,Z)))) ->
% (false) is composed into [182]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),
% apply(combinator,apply(apply(X,Y),apply(X,Z))))
% -> (true)
% Rule [181]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),apply(combinator,
% apply(apply(X,b),
% apply(Y,Z)))) ->
% (false) is composed into [181]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),
% apply(combinator,apply(apply(X,b),apply(Y,Z))))
% -> (true)
% Rule [180]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,Y)),apply(combinator,apply(X,
% apply(
% apply(
% apply(h,b),Y),Z))))
% -> (false) is composed into [180]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,Y)),
% apply(combinator,apply(X,apply(apply(
% apply(h,b),Y),Z))))
% -> (true)
% Rule [179]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(b,X)),Y),Z),V_3),apply(combinator,
% apply(X,
% apply(
% apply(
% apply(b,Y),Z),V_3))))
% -> (false) is composed into [179]
% (eq)(apply(apply(apply(apply(apply(b,b),
% apply(b,X)),Y),Z),V_3),
% apply(combinator,apply(X,apply(apply(
% apply(b,Y),Z),V_3))))
% -> (true)
% Rule [178]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(combinator,apply(X,apply(
% apply(
% apply(b,Y),Z),V_3))))
% -> (false) is composed into [178]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),
% apply(combinator,apply(X,apply(apply(
% apply(b,Y),Z),V_3))))
% -> (true)
% Rule [177]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),apply(combinator,apply(
% apply(
% apply(b,X),
% apply(
% apply(b,Y),Z)),V_3)))
% -> (false) is composed into [177]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(b,Y),Z)),V_3)))
% -> (true)
% Rule [176]
% (eq)(apply(apply(X,combinator),combinator),apply(apply(apply(apply(
% apply(b,h),h),
% apply(apply(b,b),b)),combinator),X))
% -> (false) is composed into [176]
% (eq)(apply(apply(X,combinator),combinator),
% apply(apply(apply(apply(apply(b,h),h),
% apply(apply(b,b),b)),combinator),X))
% -> (true)
% Rule [175]
% (eq)(apply(apply(apply(apply(b,b),b),combinator),X),apply(apply(
% apply(
% apply(h,h),
% apply(
% apply(b,b),b)),combinator),X))
% -> (false) is composed into [175]
% (eq)(apply(apply(apply(apply(b,b),b),combinator),X),
% apply(apply(apply(apply(h,h),apply(apply(b,b),b)),combinator),X))
% -> (true)
% Rule [174]
% (eq)(apply(apply(X,combinator),Y),apply(apply(apply(apply(apply(
% apply(b,h),
% apply(b,b)),b),combinator),X),Y))
% -> (false) is composed into [174]
% (eq)(apply(apply(X,combinator),Y),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,h),
% apply(b,b)),b),combinator),X),Y))
% -> (true)
% Rule [173]
% (eq)(apply(apply(X,apply(apply(apply(b,b),b),combinator)),X),apply(
% apply(
% apply(h,h),
% apply(
% apply(
% apply(b,b),b),combinator)),X))
% -> (false) is composed into [173]
% (eq)(apply(apply(X,apply(apply(apply(b,b),b),combinator)),X),
% apply(apply(apply(h,h),apply(apply(apply(b,b),b),combinator)),X))
% -> (true)
% Rule [172]
% (eq)(apply(apply(X,Y),X),apply(apply(apply(apply(apply(b,h),apply(
% apply(b,b),b)),combinator),X),Y))
% -> (false) is composed into [172]
% (eq)(apply(apply(X,Y),X),apply(apply(
% apply(
% apply(
% apply(b,h),
% apply(
% apply(b,b),b)),combinator),X),Y))
% -> (true)
% Rule [171]
% (eq)(apply(apply(b,X),combinator),apply(apply(apply(apply(apply(b,h),
% apply(h,apply(b,b))),b),combinator),X))
% -> (false) is composed into [171]
% (eq)(apply(apply(b,X),combinator),apply(
% apply(
% apply(
% apply(
% apply(b,h),
% apply(h,
% apply(b,b))),b),combinator),X))
% -> (true)
% Rule [170]
% (eq)(apply(apply(b,b),X),apply(apply(apply(apply(apply(apply(b,h),h),
% apply(b,b)),b),combinator),X))
% -> (false) is composed into [170]
% (eq)(apply(apply(b,b),X),apply(apply(
% apply(
% apply(
% apply(
% apply(b,h),h),
% apply(b,b)),b),combinator),X))
% -> (true)
% Rule [169]
% (eq)(apply(apply(b,X),Y),apply(apply(apply(apply(apply(apply(apply(b,h),b),b),b),combinator),X),Y))
% -> (false) is composed into [169]
% (eq)(apply(apply(b,X),Y),apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,h),b),b),b),combinator),X),Y))
% -> (true)
% Rule [168]
% (eq)(apply(apply(b,b),apply(apply(b,combinator),X)),apply(apply(
% apply(
% apply(h,h),
% apply(b,b)),
% apply(b,combinator)),X))
% -> (false) is composed into [168]
% (eq)(apply(apply(b,b),apply(apply(b,combinator),X)),
% apply(apply(apply(apply(h,h),apply(b,b)),
% apply(b,combinator)),X)) -> (true)
% Rule [167]
% (eq)(apply(X,apply(apply(b,combinator),Y)),apply(apply(apply(apply(
% apply(
% apply(b,h),b),b),
% apply(b,combinator)),X),Y))
% -> (false) is composed into [167]
% (eq)(apply(X,apply(apply(b,combinator),Y)),
% apply(apply(apply(apply(apply(apply(b,h),b),b),
% apply(b,combinator)),X),Y)) ->
% (true)
% Rule [166]
% (eq)(apply(apply(apply(X,Y),apply(h,X)),Y),apply(apply(apply(h,apply(
% apply(
% apply(b,b),b),combinator)),
% apply(h,X)),Y)) ->
% (false) is composed into [166]
% (eq)(apply(apply(apply(X,Y),apply(h,X)),Y),
% apply(apply(apply(h,apply(apply(apply(b,b),b),combinator)),
% apply(h,X)),Y)) -> (true)
% Rule [165]
% (eq)(apply(apply(apply(X,combinator),Y),combinator),apply(apply(
% apply(
% apply(h,
% apply(
% apply(b,b),b)),combinator),
% apply(h,X)),Y))
% -> (false) is composed into [165]
% (eq)(apply(apply(apply(X,combinator),Y),combinator),
% apply(apply(apply(apply(h,apply(apply(b,b),b)),combinator),
% apply(h,X)),Y)) -> (true)
% Rule [164]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),X),Y),
% apply(Z,V_3))) ->
% (false) is composed into [164]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),
% apply(apply(apply(apply(apply(apply(b,b),b),combinator),X),Y),
% apply(Z,V_3))) -> (true)
% Rule [163]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),Z),apply(apply(
% apply(b,combinator),
% apply(
% apply(X,
% apply(Y,Z)),V_3)),Z))
% -> (false) is composed into [163]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),Z),
% apply(apply(apply(b,combinator),apply(
% apply(X,
% apply(Y,Z)),V_3)),Z))
% -> (true)
% Rule [162]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Z),apply(apply(
% apply(b,combinator),
% apply(
% apply(
% apply(X,Y),Z),Y)),Y))
% -> (false) is composed into [162]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Z),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(X,Y),Z),Y)),Y))
% -> (true)
% Rule [161]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),X),Y),Z),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(
% apply(X,Y),X),Z)),X))
% -> (false) is composed into [161]
% (eq)(apply(apply(apply(apply(apply(apply(b,h),b),h),X),Y),Z),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(X,Y),X),Z)),X))
% -> (true)
% Rule [160]
% (eq)(apply(apply(apply(apply(apply(h,b),h),X),Y),Z),apply(apply(
% apply(b,combinator),
% apply(
% apply(
% apply(X,h),Y),Z)),Y))
% -> (false) is composed into [160]
% (eq)(apply(apply(apply(apply(apply(h,b),h),X),Y),Z),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(X,h),Y),Z)),Y))
% -> (true)
% Rule [159]
% (eq)(apply(apply(apply(apply(apply(b,h),apply(b,X)),Y),Z),V_3),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(X,
% apply(Y,Z)),V_3)),Z))
% -> (false) is composed into [159]
% (eq)(apply(apply(apply(apply(apply(b,h),
% apply(b,X)),Y),Z),V_3),
% apply(apply(apply(b,combinator),apply(
% apply(X,
% apply(Y,Z)),V_3)),Z))
% -> (true)
% Rule [158]
% (eq)(apply(apply(apply(h,X),Y),combinator),apply(apply(apply(apply(h,
% apply(
% apply(b,b),b)),combinator),
% apply(X,Y)),Y)) ->
% (false) is composed into [158]
% (eq)(apply(apply(apply(h,X),Y),combinator),
% apply(apply(apply(apply(h,apply(apply(b,b),b)),combinator),
% apply(X,Y)),Y)) -> (true)
% Rule [157]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),apply(apply(apply(b,combinator),
% apply(apply(b,X),
% apply(apply(b,Y),Z))),V_3))
% -> (false) is composed into [157]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),
% apply(apply(apply(b,combinator),apply(
% apply(b,X),
% apply(
% apply(b,Y),Z))),V_3))
% -> (true)
% Rule [156]
% (eq)(apply(apply(X,Y),apply(X,Z)),apply(apply(apply(b,combinator),
% apply(apply(apply(h,apply(b,b)),X),Y)),Z))
% -> (false) is composed into [156]
% (eq)(apply(apply(X,Y),apply(X,Z)),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(
% apply(h,
% apply(b,b)),X),Y)),Z))
% -> (true)
% Rule [155]
% (eq)(apply(apply(X,b),apply(Y,Z)),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(h,b),b),X),Y)),Z))
% -> (false) is composed into [155]
% (eq)(apply(apply(X,b),apply(Y,Z)),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(
% apply(
% apply(h,b),b),X),Y)),Z))
% -> (true)
% Rule [154]
% (eq)(apply(apply(apply(b,X),apply(apply(h,h),Y)),Z),apply(apply(
% apply(b,combinator),X),
% apply(apply(
% apply(Y,Z),Y),Z)))
% -> (false) is composed into [154]
% (eq)(apply(apply(apply(b,X),apply(apply(h,h),Y)),Z),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(Y,Z),Y),Z)))
% -> (true)
% Rule [153]
% (eq)(apply(apply(apply(b,X),apply(apply(h,apply(b,Y)),Z)),V_3),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(Y,
% apply(Z,V_3)),Z)))
% -> (false) is composed into [153]
% (eq)(apply(apply(apply(b,X),apply(apply(h,
% apply(b,Y)),Z)),V_3),
% apply(apply(apply(b,combinator),X),apply(
% apply(Y,
% apply(Z,V_3)),Z)))
% -> (true)
% Rule [152]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(Y,Z),V_3),Z)))
% -> (false) is composed into [152]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(Y,Z),V_3),Z)))
% -> (true)
% Rule [151]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),Y)),Z),apply(apply(
% apply(b,combinator),X),
% apply(apply(
% apply(h,h),Y),Z)))
% -> (false) is composed into [151]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),Y)),Z),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(h,h),Y),Z)))
% -> (true)
% Rule [150]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(h,Y),Z),V_3)))
% -> (false) is composed into [150]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(h,Y),Z),V_3)))
% -> (true)
% Rule [149]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),apply(b,X)),Y),Z),apply(
% apply(
% apply(b,combinator),X),
% apply(Y,
% apply(
% apply(b,X),Z))))
% -> (false) is composed into [149]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),
% apply(b,X)),Y),Z),apply(
% apply(
% apply(b,combinator),X),
% apply(Y,
% apply(
% apply(b,X),Z))))
% -> (true)
% Rule [148]
% (eq)(apply(apply(apply(h,apply(apply(apply(b,b),b),X)),Y),Z),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(Y,Z),Y)))
% -> (false) is composed into [148]
% (eq)(apply(apply(apply(h,apply(apply(
% apply(b,b),b),X)),Y),Z),
% apply(apply(apply(b,combinator),X),apply(
% apply(Y,Z),Y)))
% -> (true)
% Rule [147]
% (eq)(apply(apply(apply(apply(h,apply(apply(b,b),b)),X),Y),Z),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(Y,X),Z)))
% -> (false) is composed into [147]
% (eq)(apply(apply(apply(apply(h,apply(
% apply(b,b),b)),X),Y),Z),
% apply(apply(apply(b,combinator),X),apply(
% apply(Y,X),Z)))
% -> (true)
% Rule [146]
% (eq)(apply(apply(apply(apply(apply(h,apply(b,b)),b),X),Y),Z),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(b,Y),Z)))
% -> (false) is composed into [146]
% (eq)(apply(apply(apply(apply(apply(h,
% apply(b,b)),b),X),Y),Z),
% apply(apply(apply(b,combinator),X),apply(
% apply(b,Y),Z)))
% -> (true)
% Rule [145]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),b),X),Y),Z),apply(
% apply(
% apply(b,combinator),b),
% apply(
% apply(X,Y),Z)))
% -> (false) is composed into [145]
% (eq)(apply(apply(apply(apply(apply(apply(h,b),b),b),X),Y),Z),
% apply(apply(apply(b,combinator),b),apply(
% apply(X,Y),Z)))
% -> (true)
% Rule [144]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),X),apply(Y,Z)),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,h),X)),
% apply(Y,Z)))
% -> (false) is composed into [144]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),X),
% apply(Y,Z)),apply(apply(apply(b,combinator),
% apply(apply(h,h),X)),
% apply(Y,Z))) -> (true)
% Rule [143]
% (eq)(apply(apply(apply(apply(X,Y),apply(h,X)),Y),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,h),
% apply(h,X))),Y))
% -> (false) is composed into [143]
% (eq)(apply(apply(apply(apply(X,Y),apply(h,X)),Y),Y),
% apply(apply(apply(b,combinator),apply(
% apply(h,h),
% apply(h,X))),Y))
% -> (true)
% Rule [142]
% (eq)(apply(apply(apply(X,Y),X),Y),apply(apply(apply(apply(apply(
% apply(b,b),b),combinator),
% apply(h,h)),X),Y)) ->
% (false) is composed into [142]
% (eq)(apply(apply(apply(X,Y),X),Y),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),
% apply(h,h)),X),Y))
% -> (true)
% Rule [141]
% (eq)(apply(apply(apply(X,h),X),h),apply(apply(apply(b,combinator),
% apply(apply(h,h),h)),X)) ->
% (false) is composed into [141]
% (eq)(apply(apply(apply(X,h),X),h),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,h),h)),X))
% -> (true)
% Rule [140]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(h,
% apply(X,Y)),Y)),Y))
% -> (false) is composed into [140]
% (eq)(apply(apply(apply(apply(apply(b,h),h),X),Y),Y),
% apply(apply(apply(b,combinator),apply(
% apply(h,
% apply(X,Y)),Y)),Y))
% -> (true)
% Rule [139]
% (eq)(apply(apply(apply(apply(h,h),X),Y),X),apply(apply(apply(b,combinator),
% apply(apply(h,apply(X,Y)),X)),Y))
% -> (false) is composed into [139]
% (eq)(apply(apply(apply(apply(h,h),X),Y),X),
% apply(apply(apply(b,combinator),apply(
% apply(h,
% apply(X,Y)),X)),Y))
% -> (true)
% Rule [138]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),apply(apply(apply(b,combinator),
% apply(apply(apply(
% apply(b,h),X),Y),Z)),Y))
% -> (false) is composed into [138]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,h),X),Y),Z)),Y))
% -> (true)
% Rule [137]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),Y),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,b),
% apply(h,X)),Y),Z),V_3)))
% -> (false) is composed into [137]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),Y),
% apply(combinator,apply(apply(apply(apply(
% apply(b,b),
% apply(h,X)),Y),Z),V_3)))
% -> (true)
% Rule [136]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(b,h),b),X),Y)),Z))
% -> (false) is composed into [136]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(
% apply(
% apply(b,h),b),X),Y)),Z))
% -> (true)
% Rule [135]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),apply(combinator,
% apply(apply(
% apply(h,
% apply(
% apply(X,Y),Z)),Y),V_3)))
% -> (false) is composed into [135]
% (eq)(apply(apply(apply(apply(apply(h,X),Y),Z),V_3),Y),
% apply(combinator,apply(apply(apply(h,
% apply(apply(X,Y),Z)),Y),V_3)))
% -> (true)
% Rule [134]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Y),apply(combinator,
% apply(
% apply(
% apply(h,X),Y),
% apply(Z,V_3))))
% -> (false) is composed into [134]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Y),
% apply(combinator,apply(apply(apply(h,X),Y),
% apply(Z,V_3)))) -> (true)
% Rule [133]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),apply(Y,Z)),apply(combinator,
% apply(
% apply(
% apply(h,X),
% apply(Y,Z)),V_3)))
% -> (false) is composed into [133]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),
% apply(Y,Z)),apply(combinator,apply(
% apply(
% apply(h,X),
% apply(Y,Z)),V_3)))
% -> (true)
% Rule [132]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),apply(combinator,apply(
% apply(
% apply(h,
% apply(
% apply(b,X),Y)),Z),V_3)))
% -> (false) is composed into [132]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),
% apply(combinator,apply(apply(apply(h,
% apply(apply(b,X),Y)),Z),V_3)))
% -> (true)
% Rule [131]
% (eq)(apply(apply(apply(apply(X,Y),Z),V_3),Z),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,h),X),Y),Z),V_3)))
% -> (false) is composed into [131]
% (eq)(apply(apply(apply(apply(X,Y),Z),V_3),Z),
% apply(combinator,apply(apply(apply(apply(
% apply(b,h),X),Y),Z),V_3)))
% -> (true)
% Rule [130]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Z),apply(apply(apply(b,combinator),
% apply(apply(apply(h,X),Y),Z)),Z))
% -> (false) is composed into [130]
% (eq)(apply(apply(apply(apply(X,Y),Z),Y),Z),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,X),Y),Z)),Z))
% -> (true)
% Rule [129]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),apply(combinator,apply(
% apply(
% apply(h,
% apply(X,Y)),Z),Y)))
% -> (false) is composed into [129]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),
% apply(combinator,apply(apply(apply(h,
% apply(X,Y)),Z),Y)))
% -> (true)
% Rule [128]
% (eq)(apply(apply(apply(X,Y),X),Y),apply(combinator,apply(apply(apply(h,h),X),Y)))
% -> (false) is composed into [128]
% (eq)(apply(apply(apply(X,Y),X),Y),apply(combinator,
% apply(
% apply(
% apply(h,h),X),Y)))
% -> (true)
% Rule [127]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(combinator,apply(apply(apply(h,
% apply(b,X)),Y),Z)))
% -> (false) is composed into [127]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(combinator,
% apply(
% apply(
% apply(h,
% apply(b,X)),Y),Z)))
% -> (true)
% Rule [126]
% (eq)(apply(apply(apply(apply(X,Y),X),Y),X),apply(apply(apply(b,combinator),
% apply(apply(apply(h,h),X),Y)),X))
% -> (false) is composed into [126]
% (eq)(apply(apply(apply(apply(X,Y),X),Y),X),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,h),X),Y)),X))
% -> (true)
% Rule [125]
% (eq)(apply(apply(apply(h,h),apply(h,X)),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(X,Y),
% apply(h,X)),Y)),Y))
% -> (false) is composed into [125]
% (eq)(apply(apply(apply(h,h),apply(h,X)),Y),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(X,Y),
% apply(h,X)),Y)),Y))
% -> (true)
% Rule [124]
% (eq)(apply(apply(apply(h,apply(apply(apply(b,b),X),Y)),Z),V_3),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(X,Y),
% apply(Z,V_3))),Z))
% -> (false) is composed into [124]
% (eq)(apply(apply(apply(h,apply(apply(
% apply(b,b),X),Y)),Z),V_3),
% apply(apply(apply(b,combinator),apply(
% apply(X,Y),
% apply(Z,V_3))),Z))
% -> (true)
% Rule [123]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),Z),apply(apply(apply(apply(
% apply(
% apply(b,b),b),combinator),X),
% apply(Y,Z)),Y)) ->
% (false) is composed into [123]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),Z),
% apply(apply(apply(apply(apply(apply(b,b),b),combinator),X),
% apply(Y,Z)),Y)) -> (true)
% Rule [122]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),X),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(X,
% apply(Y,Z)),V_3),
% apply(Y,Z))))
% -> (false) is composed into [122]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),X),Y),Z),V_3),
% apply(combinator,apply(apply(apply(X,
% apply(Y,Z)),V_3),
% apply(Y,Z)))) -> (true)
% Rule [121]
% (eq)(apply(apply(apply(h,X),Y),apply(Z,V_3)),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),X),Y),Z),V_3),Y)))
% -> (false) is composed into [121]
% (eq)(apply(apply(apply(h,X),Y),apply(Z,V_3)),
% apply(combinator,apply(apply(apply(apply(
% apply(
% apply(b,b),X),Y),Z),V_3),Y)))
% -> (true)
% Rule [120]
% (eq)(apply(apply(apply(h,X),apply(Y,Z)),V_3),apply(combinator,apply(
% apply(
% apply(
% apply(
% apply(b,X),Y),Z),V_3),
% apply(Y,Z))))
% -> (false) is composed into [120]
% (eq)(apply(apply(apply(h,X),apply(Y,Z)),V_3),
% apply(combinator,apply(apply(apply(apply(
% apply(b,X),Y),Z),V_3),
% apply(Y,Z)))) -> (true)
% Rule [119]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),combinator),apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(h,b)),combinator),X),
% apply(Y,Z))) ->
% (false) is composed into [119]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),combinator),
% apply(apply(apply(apply(apply(b,b),apply(h,b)),combinator),X),
% apply(Y,Z))) -> (true)
% Rule [118]
% (eq)(apply(apply(X,Y),combinator),apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),b),h),b),combinator),X),Y))
% -> (false) is composed into [118]
% (eq)(apply(apply(X,Y),combinator),apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),h),b),combinator),X),Y))
% -> (true)
% Rule [117]
% (eq)(apply(apply(apply(X,apply(Y,Z)),combinator),Z),apply(apply(
% apply(h,b),combinator),
% apply(apply(h,
% apply(
% apply(b,X),Y)),Z)))
% -> (false) is composed into [117]
% (eq)(apply(apply(apply(X,apply(Y,Z)),combinator),Z),
% apply(apply(apply(h,b),combinator),apply(
% apply(h,
% apply(
% apply(b,X),Y)),Z)))
% -> (true)
% Rule [116]
% (eq)(apply(apply(apply(apply(X,Y),Z),combinator),Z),apply(apply(
% apply(h,b),combinator),
% apply(apply(
% apply(
% apply(b,h),X),Y),Z)))
% -> (false) is composed into [116]
% (eq)(apply(apply(apply(apply(X,Y),Z),combinator),Z),
% apply(apply(apply(h,b),combinator),apply(
% apply(
% apply(
% apply(b,h),X),Y),Z)))
% -> (true)
% Rule [115]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),combinator),apply(Y,Z)),
% apply(apply(apply(h,b),combinator),apply(apply(h,X),apply(Y,Z)))) ->
% (false) is composed into [115]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),combinator),
% apply(Y,Z)),apply(apply(apply(h,b),combinator),
% apply(apply(h,X),apply(Y,Z))))
% -> (true)
% Rule [114]
% (eq)(apply(X,apply(apply(apply(Y,Z),combinator),Z)),apply(apply(
% apply(h,b),combinator),
% apply(apply(b,X),
% apply(apply(h,Y),Z))))
% -> (false) is composed into [114]
% (eq)(apply(X,apply(apply(apply(Y,Z),combinator),Z)),
% apply(apply(apply(h,b),combinator),apply(
% apply(b,X),
% apply(
% apply(h,Y),Z))))
% -> (true)
% Rule [113]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),Y),apply(apply(
% apply(b,combinator),
% apply(
% apply(
% apply(h,X),Y),Z)),Z))
% -> (false) is composed into [113]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),Y),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,X),Y),Z)),Z))
% -> (true)
% Rule [112]
% (eq)(apply(apply(apply(h,h),X),Y),apply(apply(apply(apply(apply(
% apply(b,b),b),combinator),
% apply(X,Y)),X),Y)) ->
% (false) is composed into [112]
% (eq)(apply(apply(apply(h,h),X),Y),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),
% apply(X,Y)),X),Y))
% -> (true)
% Rule [111]
% (eq)(apply(apply(apply(h,h),h),X),apply(apply(apply(b,combinator),
% apply(apply(X,h),X)),h)) ->
% (false) is composed into [111]
% (eq)(apply(apply(apply(h,h),h),X),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(X,h),X)),h))
% -> (true)
% Rule [110]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),Y),apply(apply(apply(b,combinator),
% apply(X,apply(Y,Z))),Y))
% -> (false) is composed into [110]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),Y),
% apply(apply(apply(b,combinator),apply(X,
% apply(Y,Z))),Y))
% -> (true)
% Rule [109]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Z)),Y),V_3),apply(combinator,
% apply(apply(
% apply(
% apply(
% apply(h,X),Y),Z),V_3),Y)))
% -> (false) is composed into [109]
% (eq)(apply(apply(apply(h,apply(apply(X,Y),Z)),Y),V_3),
% apply(combinator,apply(apply(apply(apply(
% apply(h,X),Y),Z),V_3),Y)))
% -> (true)
% Rule [108]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(h,X)),Y),Z),V_3),apply(combinator,
% apply(
% apply(
% apply(X,Y),
% apply(Z,V_3)),Y)))
% -> (false) is composed into [108]
% (eq)(apply(apply(apply(apply(apply(b,b),
% apply(h,X)),Y),Z),V_3),
% apply(combinator,apply(apply(apply(X,Y),
% apply(Z,V_3)),Y))) ->
% (true)
% Rule [107]
% (eq)(apply(apply(apply(apply(apply(b,h),b),X),Y),Z),apply(apply(
% apply(b,combinator),
% apply(X,
% apply(Y,Z))),Y))
% -> (false) is composed into [107]
% (eq)(apply(apply(apply(apply(apply(b,h),b),X),Y),Z),
% apply(apply(apply(b,combinator),apply(X,
% apply(Y,Z))),Y))
% -> (true)
% Rule [106]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),Y),apply(combinator,apply(
% apply(
% apply(
% apply(h,X),Y),Z),Z)))
% -> (false) is composed into [106]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),Y),
% apply(combinator,apply(apply(apply(apply(h,X),Y),Z),Z)))
% -> (true)
% Rule [105]
% (eq)(apply(apply(apply(h,h),X),Y),apply(combinator,apply(apply(apply(X,Y),X),Y)))
% -> (false) is composed into [105]
% (eq)(apply(apply(apply(h,h),X),Y),apply(combinator,
% apply(
% apply(
% apply(X,Y),X),Y)))
% -> (true)
% Rule [104]
% (eq)(apply(apply(apply(h,apply(apply(b,X),Y)),Z),V_3),apply(combinator,
% apply(apply(
% apply(X,
% apply(Y,Z)),V_3),Z)))
% -> (false) is composed into [104]
% (eq)(apply(apply(apply(h,apply(apply(b,X),Y)),Z),V_3),
% apply(combinator,apply(apply(apply(X,
% apply(Y,Z)),V_3),Z)))
% -> (true)
% Rule [103]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),apply(combinator,
% apply(apply(
% apply(
% apply(X,Y),Z),V_3),Z)))
% -> (false) is composed into [103]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),
% apply(combinator,apply(apply(apply(apply(X,Y),Z),V_3),Z)))
% -> (true)
% Rule [102]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),Z),apply(combinator,apply(
% apply(X,
% apply(Y,Z)),Y)))
% -> (false) is composed into [102]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),Z),
% apply(combinator,apply(apply(X,apply(Y,Z)),Y)))
% -> (true)
% Rule [101]
% (eq)(apply(apply(apply(h,X),combinator),Y),apply(apply(apply(apply(
% apply(b,b),
% apply(h,b)),combinator),
% apply(X,combinator)),Y))
% -> (false) is composed into [101]
% (eq)(apply(apply(apply(h,X),combinator),Y),
% apply(apply(apply(apply(apply(b,b),apply(h,b)),combinator),
% apply(X,combinator)),Y)) -> (true)
% Rule [100]
% (eq)(apply(apply(X,combinator),combinator),apply(apply(apply(apply(
% apply(b,h),
% apply(b,b)),
% apply(h,b)),combinator),X))
% -> (false) is composed into [100]
% (eq)(apply(apply(X,combinator),combinator),
% apply(apply(apply(apply(apply(b,h),apply(b,b)),
% apply(h,b)),combinator),X)) ->
% (true)
% Rule [99]
% (eq)(apply(apply(apply(h,b),X),combinator),apply(apply(apply(apply(h,
% apply(b,b)),
% apply(h,b)),combinator),X))
% -> (false) is composed into [99]
% (eq)(apply(apply(apply(h,b),X),combinator),
% apply(apply(apply(apply(h,apply(b,b)),
% apply(h,b)),combinator),X)) ->
% (true)
% Rule [98]
% (eq)(apply(apply(apply(X,Y),combinator),Y),apply(apply(apply(apply(
% apply(b,b),
% apply(h,b)),combinator),
% apply(h,X)),Y)) ->
% (false) is composed into [98]
% (eq)(apply(apply(apply(X,Y),combinator),Y),
% apply(apply(apply(apply(apply(b,b),apply(h,b)),combinator),
% apply(h,X)),Y)) -> (true)
% Rule [97]
% (eq)(apply(X,apply(Y,apply(Z,combinator))),apply(apply(apply(h,b),combinator),
% apply(apply(b,X),apply(
% apply(b,Y),Z))))
% -> (false) is composed into [97]
% (eq)(apply(X,apply(Y,apply(Z,combinator))),
% apply(apply(apply(h,b),combinator),apply(
% apply(b,X),
% apply(
% apply(b,Y),Z))))
% -> (true)
% Rule [96]
% (eq)(apply(apply(X,Y),apply(Z,combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(apply(apply(b,b),X),Y),Z)))
% -> (false) is composed into [96]
% (eq)(apply(apply(X,Y),apply(Z,combinator)),
% apply(apply(apply(h,b),combinator),apply(
% apply(
% apply(
% apply(b,b),X),Y),Z)))
% -> (true)
% Rule [95]
% (eq)(apply(apply(apply(X,combinator),X),combinator),apply(apply(
% apply(h,b),combinator),
% apply(apply(h,h),X)))
% -> (false) is composed into [95]
% (eq)(apply(apply(apply(X,combinator),X),combinator),
% apply(apply(apply(h,b),combinator),apply(
% apply(h,h),X)))
% -> (true)
% Rule [94]
% (eq)(apply(apply(X,apply(Y,combinator)),Y),apply(apply(apply(h,b),combinator),
% apply(apply(h,apply(b,X)),Y)))
% -> (false) is composed into [94]
% (eq)(apply(apply(X,apply(Y,combinator)),Y),
% apply(apply(apply(h,b),combinator),apply(
% apply(h,
% apply(b,X)),Y)))
% -> (true)
% Rule [93]
% (eq)(apply(X,apply(Y,combinator)),apply(apply(apply(apply(apply(b,b),
% apply(h,b)),combinator),
% apply(b,X)),Y)) -> (false) is composed into 
% [93]
% (eq)(apply(X,apply(Y,combinator)),apply(apply(apply(apply(apply(b,b),
% apply(h,b)),combinator),
% apply(b,X)),Y)) -> (true)
% Rule [92]
% (eq)(apply(X,apply(apply(apply(h,b),Y),Z)),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(Z,Y))) -> (false) is composed into 
% [92]
% (eq)(apply(X,apply(apply(apply(h,b),Y),Z)),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(Z,Y))) -> (true)
% Rule [91]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),apply(apply(
% apply(b,combinator),
% apply(
% apply(b,X),Y)),
% apply(Z,V_3))) ->
% (false) is composed into [91]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),
% apply(apply(apply(b,combinator),apply(apply(b,X),Y)),
% apply(Z,V_3))) -> (true)
% Rule [90]
% (eq)(apply(X,apply(combinator,Y)),apply(apply(apply(apply(h,apply(
% apply(b,b),b)),combinator),
% apply(b,X)),Y)) -> (false) is composed into 
% [90]
% (eq)(apply(X,apply(combinator,Y)),apply(apply(apply(apply(h,apply(apply(b,b),b)),combinator),
% apply(b,X)),Y)) -> (true)
% Rule [89]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,Y)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(h,b),Y),Z)))
% -> (false) is composed into [89]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,Y)),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(h,b),Y),Z)))
% -> (true)
% Rule [88]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(b,X)),Y),Z),V_3),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(
% apply(b,Y),Z),V_3)))
% -> (false) is composed into [88]
% (eq)(apply(apply(apply(apply(apply(b,b),
% apply(b,X)),Y),Z),V_3),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(b,Y),Z),V_3)))
% -> (true)
% Rule [87]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),b),X),Y),Z),apply(
% apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(Z,
% apply(X,Y))))
% -> (false) is composed into [87]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),h),b),X),Y),Z),
% apply(apply(apply(b,combinator),apply(X,Y)),
% apply(Z,apply(X,Y)))) -> (true)
% Rule [86]
% (eq)(apply(apply(apply(h,b),apply(X,Y)),Z),apply(apply(apply(b,combinator),
% apply(X,Y)),apply(
% apply(
% apply(b,Z),X),Y)))
% -> (false) is composed into [86]
% (eq)(apply(apply(apply(h,b),apply(X,Y)),Z),
% apply(apply(apply(b,combinator),apply(X,Y)),
% apply(apply(apply(b,Z),X),Y))) -> (true)
% Rule [85]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),V_3),apply(apply(apply(apply(
% apply(
% apply(b,b),b),combinator),X),
% apply(Y,Z)),V_3)) ->
% (false) is composed into [85]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),V_3),
% apply(apply(apply(apply(apply(apply(b,b),b),combinator),X),
% apply(Y,Z)),V_3)) -> (true)
% Rule [84]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(apply(apply(apply(
% apply(b,b),
% apply(b,combinator)),X),Y),
% apply(Z,V_3))) -> (false) is composed into 
% [84]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(apply(apply(apply(
% apply(b,b),
% apply(b,combinator)),X),Y),
% apply(Z,V_3))) -> (true)
% Rule [83]
% (eq)(apply(X,apply(Y,Z)),apply(apply(apply(apply(apply(apply(apply(
% apply(b,b),b),b),b),combinator),X),Y),Z))
% -> (false) is composed into [83]
% (eq)(apply(X,apply(Y,Z)),apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),combinator),X),Y),Z))
% -> (true)
% Rule [82]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),apply(apply(apply(b,combinator),
% apply(apply(h,
% apply(apply(b,X),Y)),Z)),V_3))
% -> (false) is composed into [82]
% (eq)(apply(apply(apply(X,apply(Y,Z)),V_3),Z),
% apply(apply(apply(b,combinator),apply(
% apply(h,
% apply(
% apply(b,X),Y)),Z)),V_3))
% -> (true)
% Rule [81]
% (eq)(apply(apply(apply(apply(X,Y),Z),V_3),Z),apply(apply(apply(b,combinator),
% apply(apply(apply(
% apply(b,h),X),Y),Z)),V_3))
% -> (false) is composed into [81]
% (eq)(apply(apply(apply(apply(X,Y),Z),V_3),Z),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,h),X),Y),Z)),V_3))
% -> (true)
% Rule [80]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Y),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,X),Y)),
% apply(Z,V_3)))
% -> (false) is composed into [80]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Y),
% apply(apply(apply(b,combinator),apply(
% apply(h,X),Y)),
% apply(Z,V_3))) -> (true)
% Rule [79]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),apply(Y,Z)),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,X),
% apply(Y,Z))),V_3))
% -> (false) is composed into [79]
% (eq)(apply(apply(apply(apply(apply(b,X),Y),Z),V_3),
% apply(Y,Z)),apply(apply(apply(b,combinator),
% apply(apply(h,X),
% apply(Y,Z))),V_3)) ->
% (true)
% Rule [78]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(h,X)),Y),Z),V_3),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(X,Y),
% apply(Z,V_3))),Y))
% -> (false) is composed into [78]
% (eq)(apply(apply(apply(apply(apply(b,b),
% apply(h,X)),Y),Z),V_3),
% apply(apply(apply(b,combinator),apply(
% apply(X,Y),
% apply(Z,V_3))),Y))
% -> (true)
% Rule [77]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),apply(apply(apply(b,combinator),
% apply(apply(b,X),
% apply(apply(h,Y),Z))),V_3))
% -> (false) is composed into [77]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),
% apply(apply(apply(b,combinator),apply(
% apply(b,X),
% apply(
% apply(h,Y),Z))),V_3))
% -> (true)
% Rule [76]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),apply(apply(apply(b,combinator),
% apply(apply(b,X),
% apply(apply(Y,Z),V_3))),Z))
% -> (false) is composed into [76]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),
% apply(apply(apply(b,combinator),apply(
% apply(b,X),
% apply(
% apply(Y,Z),V_3))),Z))
% -> (true)
% Rule [75]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(apply(apply(b,combinator),X),
% apply(apply(apply(b,Y),Z),V_3))) ->
% (false) is composed into [75]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(
% apply(b,Y),Z),V_3)))
% -> (true)
% Rule [74]
% (eq)(apply(X,apply(apply(Y,Z),V_3)),apply(combinator,apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),b),X),Y),Z),V_3)))
% -> (false) is composed into [74]
% (eq)(apply(X,apply(apply(Y,Z),V_3)),
% apply(combinator,apply(apply(apply(apply(
% apply(
% apply(b,b),b),X),Y),Z),V_3)))
% -> (true)
% Rule [73]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(b,X)),Y),Z),V_3)))
% -> (false) is composed into [73]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),
% apply(combinator,apply(apply(apply(apply(
% apply(b,b),
% apply(b,X)),Y),Z),V_3)))
% -> (true)
% Rule [72]
% (eq)(apply(apply(apply(h,b),X),apply(apply(h,Y),Z)),apply(apply(
% apply(b,combinator),X),
% apply(apply(
% apply(Y,Z),X),Z)))
% -> (false) is composed into [72]
% (eq)(apply(apply(apply(h,b),X),apply(
% apply(h,Y),Z)),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(Y,Z),X),Z)))
% -> (true)
% Rule [71]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(h,b)),X),Y),Z),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(Y,Z),X)))
% -> (false) is composed into [71]
% (eq)(apply(apply(apply(apply(apply(b,b),
% apply(h,b)),X),Y),Z),
% apply(apply(apply(b,combinator),X),apply(
% apply(Y,Z),X)))
% -> (true)
% Rule [70]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),apply(combinator,apply(
% apply(
% apply(b,X),
% apply(
% apply(h,Y),Z)),V_3)))
% -> (false) is composed into [70]
% (eq)(apply(X,apply(apply(apply(Y,Z),V_3),Z)),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(h,Y),Z)),V_3)))
% -> (true)
% Rule [69]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),apply(combinator,apply(
% apply(
% apply(b,X),
% apply(
% apply(Y,Z),V_3)),Z)))
% -> (false) is composed into [69]
% (eq)(apply(X,apply(apply(apply(h,Y),Z),V_3)),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(Y,Z),V_3)),Z)))
% -> (true)
% Rule [68]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(combinator,apply(apply(
% apply(b,X),
% apply(
% apply(b,Y),Z)),V_3)))
% -> (false) is composed into [68]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),
% apply(combinator,apply(apply(apply(b,X),
% apply(apply(b,Y),Z)),V_3)))
% -> (true)
% Rule [67]
% (eq)(apply(apply(X,Y),apply(Z,V_3)),apply(combinator,apply(apply(
% apply(
% apply(
% apply(b,b),X),Y),Z),V_3)))
% -> (false) is composed into [67]
% (eq)(apply(apply(X,Y),apply(Z,V_3)),
% apply(combinator,apply(apply(apply(apply(
% apply(b,b),X),Y),Z),V_3)))
% -> (true)
% Rule [66]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(combinator,apply(
% apply(
% apply(b,X),Y),
% apply(Z,V_3))))
% -> (false) is composed into [66]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),
% apply(combinator,apply(apply(apply(b,X),Y),
% apply(Z,V_3)))) -> (true)
% Rule [65]
% (eq)(apply(apply(apply(h,h),b),X),apply(apply(apply(b,combinator),X),
% apply(b,X))) -> (false) is composed into 
% [65]
% (eq)(apply(apply(apply(h,h),b),X),apply(apply(apply(b,combinator),X),
% apply(b,X))) -> (true)
% Rule [64]
% (eq)(apply(apply(apply(h,b),X),apply(apply(b,Y),Z)),apply(apply(
% apply(b,combinator),X),
% apply(Y,apply(Z,X))))
% -> (false) is composed into [64]
% (eq)(apply(apply(apply(h,b),X),apply(
% apply(b,Y),Z)),
% apply(apply(apply(b,combinator),X),apply(Y,
% apply(Z,X))))
% -> (true)
% Rule [63]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(apply(apply(b,combinator),X),
% apply(Y,apply(Z,V_3)))) ->
% (false) is composed into [63]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),
% apply(apply(apply(b,combinator),X),apply(Y,
% apply(Z,V_3))))
% -> (true)
% Rule [62]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),apply(apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(Z,Y))) ->
% (false) is composed into [62]
% (eq)(apply(apply(apply(h,apply(apply(b,b),X)),Y),Z),
% apply(apply(apply(b,combinator),apply(X,Y)),
% apply(Z,Y))) -> (true)
% Rule [61]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),apply(apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(X,Z))) ->
% (false) is composed into [61]
% (eq)(apply(apply(apply(apply(h,apply(b,b)),X),Y),Z),
% apply(apply(apply(b,combinator),apply(X,Y)),
% apply(X,Z))) -> (true)
% Rule [60]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),apply(apply(
% apply(b,combinator),
% apply(X,b)),
% apply(Y,Z))) ->
% (false) is composed into [60]
% (eq)(apply(apply(apply(apply(apply(h,b),b),X),Y),Z),
% apply(apply(apply(b,combinator),apply(X,b)),
% apply(Y,Z))) -> (true)
% Rule [59]
% (eq)(apply(apply(apply(b,X),apply(b,combinator)),Y),apply(apply(
% apply(
% apply(h,
% apply(b,b)),
% apply(b,combinator)),X),Y))
% -> (false) is composed into [59]
% (eq)(apply(apply(apply(b,X),apply(b,combinator)),Y),
% apply(apply(apply(apply(h,apply(b,b)),
% apply(b,combinator)),X),Y)) ->
% (true)
% Rule [58]
% (eq)(apply(apply(apply(b,X),Y),X),apply(apply(apply(h,apply(apply(b,b),
% apply(b,combinator))),X),Y))
% -> (false) is composed into [58]
% (eq)(apply(apply(apply(b,X),Y),X),apply(
% apply(
% apply(h,
% apply(
% apply(b,b),
% apply(b,combinator))),X),Y))
% -> (true)
% Rule [57]
% (eq)(apply(apply(apply(h,b),X),Y),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),X),Y),X))
% -> (false) is composed into [57]
% (eq)(apply(apply(apply(h,b),X),Y),apply(
% apply(
% apply(
% apply(
% apply(b,b),
% apply(b,combinator)),X),Y),X))
% -> (true)
% Rule [56]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(b,X)),Y),Z),V_3),apply(combinator,
% apply(X,
% apply(Y,
% apply(Z,V_3)))))
% -> (false) is composed into [56]
% (eq)(apply(apply(apply(apply(apply(b,b),
% apply(b,X)),Y),Z),V_3),
% apply(combinator,apply(X,apply(Y,apply(Z,V_3)))))
% -> (true)
% Rule [55]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3),apply(combinator,
% apply(X,
% apply(
% apply(Y,Z),V_3))))
% -> (false) is composed into [55]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3),
% apply(combinator,apply(X,apply(apply(Y,Z),V_3))))
% -> (true)
% Rule [54]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),apply(combinator,
% apply(X,apply(
% apply(
% apply(Y,Z),V_3),Z))))
% -> (false) is composed into [54]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),
% apply(combinator,apply(X,apply(apply(
% apply(Y,Z),V_3),Z))))
% -> (true)
% Rule [53]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),apply(combinator,
% apply(X,apply(
% apply(
% apply(h,Y),Z),V_3))))
% -> (false) is composed into [53]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),
% apply(combinator,apply(X,apply(apply(
% apply(h,Y),Z),V_3))))
% -> (true)
% Rule [52]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),apply(combinator,
% apply(X,apply(Y,
% apply(Z,V_3)))))
% -> (false) is composed into [52]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),
% apply(combinator,apply(X,apply(Y,apply(Z,V_3)))))
% -> (true)
% Rule [51]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),apply(combinator,
% apply(apply(X,Y),
% apply(Z,V_3)))) ->
% (false) is composed into [51]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),
% apply(combinator,apply(apply(X,Y),apply(Z,V_3))))
% -> (true)
% Rule [50]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),apply(combinator,apply(X,
% apply(
% apply(
% apply(b,Y),Z),V_3))))
% -> (false) is composed into [50]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),
% apply(combinator,apply(X,apply(apply(
% apply(b,Y),Z),V_3))))
% -> (true)
% Rule [49]
% (eq)(apply(apply(X,combinator),Y),apply(apply(apply(apply(h,apply(
% apply(b,b),b)),combinator),X),Y))
% -> (false) is composed into [49]
% (eq)(apply(apply(X,combinator),Y),apply(
% apply(
% apply(
% apply(h,
% apply(
% apply(b,b),b)),combinator),X),Y))
% -> (true)
% Rule [48]
% (eq)(apply(apply(X,Y),X),apply(apply(apply(h,apply(apply(apply(b,b),b),combinator)),X),Y))
% -> (false) is composed into [48]
% (eq)(apply(apply(X,Y),X),apply(apply(
% apply(h,
% apply(
% apply(
% apply(b,b),b),combinator)),X),Y))
% -> (true)
% Rule [47]
% (eq)(apply(apply(b,X),Y),apply(apply(apply(apply(apply(h,apply(b,b)),b),combinator),X),Y))
% -> (false) is composed into [47]
% (eq)(apply(apply(b,X),Y),apply(apply(
% apply(
% apply(
% apply(h,
% apply(b,b)),b),combinator),X),Y))
% -> (true)
% Rule [46]
% (eq)(apply(X,apply(apply(b,combinator),Y)),apply(apply(apply(apply(h,
% apply(b,b)),
% apply(b,combinator)),X),Y))
% -> (false) is composed into [46]
% (eq)(apply(X,apply(apply(b,combinator),Y)),
% apply(apply(apply(apply(h,apply(b,b)),
% apply(b,combinator)),X),Y)) ->
% (true)
% Rule [45]
% (eq)(apply(apply(apply(X,Y),Z),Y),apply(apply(apply(apply(apply(
% apply(b,b),b),combinator),
% apply(h,X)),Y),Z)) ->
% (false) is composed into [45]
% (eq)(apply(apply(apply(X,Y),Z),Y),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),
% apply(h,X)),Y),Z))
% -> (true)
% Rule [44]
% (eq)(apply(apply(apply(h,apply(apply(b,X),Y)),Z),V_3),apply(apply(
% apply(b,combinator),
% apply(
% apply(X,
% apply(Y,Z)),V_3)),Z))
% -> (false) is composed into [44]
% (eq)(apply(apply(apply(h,apply(apply(b,X),Y)),Z),V_3),
% apply(apply(apply(b,combinator),apply(
% apply(X,
% apply(Y,Z)),V_3)),Z))
% -> (true)
% Rule [43]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),apply(apply(
% apply(b,combinator),
% apply(
% apply(
% apply(X,Y),Z),V_3)),Z))
% -> (false) is composed into [43]
% (eq)(apply(apply(apply(apply(apply(b,h),X),Y),Z),V_3),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(X,Y),Z),V_3)),Z))
% -> (true)
% Rule [42]
% (eq)(apply(apply(apply(h,X),Y),Z),apply(apply(apply(apply(apply(
% apply(b,b),b),combinator),
% apply(X,Y)),Z),Y)) ->
% (false) is composed into [42]
% (eq)(apply(apply(apply(h,X),Y),Z),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),
% apply(X,Y)),Z),Y))
% -> (true)
% Rule [41]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),apply(apply(apply(b,combinator),
% apply(apply(b,X),apply(
% apply(b,Y),Z))),V_3))
% -> (false) is composed into [41]
% (eq)(apply(X,apply(Y,apply(Z,V_3))),
% apply(apply(apply(b,combinator),apply(
% apply(b,X),
% apply(
% apply(b,Y),Z))),V_3))
% -> (true)
% Rule [40]
% (eq)(apply(apply(X,Y),apply(Z,V_3)),apply(apply(apply(b,combinator),
% apply(apply(apply(apply(b,b),X),Y),Z)),V_3))
% -> (false) is composed into [40]
% (eq)(apply(apply(X,Y),apply(Z,V_3)),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(
% apply(b,b),X),Y),Z)),V_3))
% -> (true)
% Rule [39]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),apply(apply(
% apply(b,combinator),X),
% apply(apply(
% apply(Y,Z),V_3),Z)))
% -> (false) is composed into [39]
% (eq)(apply(apply(apply(b,X),apply(apply(h,Y),Z)),V_3),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(Y,Z),V_3),Z)))
% -> (true)
% Rule [38]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),apply(apply(
% apply(b,combinator),X),
% apply(apply(
% apply(h,Y),Z),V_3)))
% -> (false) is composed into [38]
% (eq)(apply(apply(apply(b,X),apply(apply(Y,Z),V_3)),Z),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(h,Y),Z),V_3)))
% -> (true)
% Rule [37]
% (eq)(apply(apply(apply(apply(apply(b,b),apply(b,X)),Y),Z),V_3),apply(
% apply(
% apply(b,combinator),X),
% apply(Y,
% apply(Z,V_3))))
% -> (false) is composed into [37]
% (eq)(apply(apply(apply(apply(apply(b,b),
% apply(b,X)),Y),Z),V_3),
% apply(apply(apply(b,combinator),X),apply(Y,
% apply(Z,V_3))))
% -> (true)
% Rule [36]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3),apply(
% apply(
% apply(b,combinator),X),
% apply(
% apply(Y,Z),V_3)))
% -> (false) is composed into [36]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3),
% apply(apply(apply(b,combinator),X),apply(
% apply(Y,Z),V_3)))
% -> (true)
% Rule [35]
% (eq)(apply(apply(apply(X,Y),X),Y),apply(apply(apply(b,combinator),
% apply(apply(h,h),X)),Y)) ->
% (false) is composed into [35]
% (eq)(apply(apply(apply(X,Y),X),Y),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,h),X)),Y))
% -> (true)
% Rule [34]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),apply(apply(apply(b,combinator),
% apply(apply(h,apply(X,Y)),Z)),Y))
% -> (false) is composed into [34]
% (eq)(apply(apply(apply(apply(h,X),Y),Z),Z),
% apply(apply(apply(b,combinator),apply(
% apply(h,
% apply(X,Y)),Z)),Y))
% -> (true)
% Rule [33]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(apply(apply(b,combinator),
% apply(apply(h,apply(b,X)),Y)),Z))
% -> (false) is composed into [33]
% (eq)(apply(apply(X,apply(Y,Z)),Y),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,
% apply(b,X)),Y)),Z))
% -> (true)
% Rule [32]
% (eq)(apply(apply(apply(X,Y),Z),Y),apply(combinator,apply(apply(apply(h,X),Y),Z)))
% -> (false) is composed into [32]
% (eq)(apply(apply(apply(X,Y),Z),Y),apply(combinator,
% apply(
% apply(
% apply(h,X),Y),Z)))
% -> (true)
% Rule [31]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),Y),apply(apply(apply(b,combinator),
% apply(apply(apply(h,X),Y),Z)),Z))
% -> (false) is composed into [31]
% (eq)(apply(apply(apply(h,apply(X,Y)),Z),Y),
% apply(apply(apply(b,combinator),apply(
% apply(
% apply(h,X),Y),Z)),Z))
% -> (true)
% Rule [30]
% (eq)(apply(apply(apply(h,h),X),Y),apply(apply(apply(b,combinator),
% apply(apply(X,Y),X)),Y)) ->
% (false) is composed into [30]
% (eq)(apply(apply(apply(h,h),X),Y),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(X,Y),X)),Y))
% -> (true)
% Rule [29]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),Z),apply(apply(apply(b,combinator),
% apply(X,apply(Y,Z))),Y))
% -> (false) is composed into [29]
% (eq)(apply(apply(apply(h,apply(b,X)),Y),Z),
% apply(apply(apply(b,combinator),apply(X,
% apply(Y,Z))),Y))
% -> (true)
% Rule [28]
% (eq)(apply(apply(apply(h,X),Y),Z),apply(combinator,apply(apply(apply(X,Y),Z),Y)))
% -> (false) is composed into [28]
% (eq)(apply(apply(apply(h,X),Y),Z),apply(combinator,
% apply(
% apply(
% apply(X,Y),Z),Y)))
% -> (true)
% Rule [27]
% (eq)(apply(apply(X,Y),combinator),apply(apply(apply(apply(apply(b,b),
% apply(h,b)),combinator),X),Y))
% -> (false) is composed into [27]
% (eq)(apply(apply(X,Y),combinator),apply(
% apply(
% apply(
% apply(
% apply(b,b),
% apply(h,b)),combinator),X),Y))
% -> (true)
% Rule [26]
% (eq)(apply(apply(apply(X,Y),combinator),Y),apply(apply(apply(h,b),combinator),
% apply(apply(h,X),Y))) ->
% (false) is composed into [26]
% (eq)(apply(apply(apply(X,Y),combinator),Y),
% apply(apply(apply(h,b),combinator),apply(
% apply(h,X),Y)))
% -> (true)
% Rule [25]
% (eq)(apply(b,combinator),apply(apply(apply(h,h),b),combinator)) ->
% (false) is composed into [25]
% (eq)(apply(b,combinator),apply(apply(apply(h,h),b),combinator))
% -> (true)
% Rule [24]
% (eq)(apply(X,apply(Y,combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(b,X),Y))) -> (false) is composed into 
% [24]
% (eq)(apply(X,apply(Y,combinator)),apply(apply(apply(h,b),combinator),
% apply(apply(b,X),Y))) -> (true)
% Rule [23]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(Z,V_3))) -> (false) is composed into 
% [23]
% (eq)(apply(X,apply(apply(apply(b,Y),Z),V_3)),apply(apply(apply(b,combinator),
% apply(apply(b,X),Y)),
% apply(Z,V_3))) -> (true)
% Rule [22]
% (eq)(apply(X,apply(Y,Z)),apply(apply(apply(apply(apply(apply(b,b),b),combinator),
% apply(b,X)),Y),Z)) -> (false) is composed into 
% [22]
% (eq)(apply(X,apply(Y,Z)),apply(apply(apply(apply(apply(apply(b,b),b),combinator),
% apply(b,X)),Y),Z)) -> (true)
% Rule [21]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),apply(apply(apply(b,combinator),X),
% apply(apply(apply(b,Y),Z),V_3)))
% -> (false) is composed into [21]
% (eq)(apply(apply(apply(b,X),Y),apply(Z,V_3)),
% apply(apply(apply(b,combinator),X),apply(
% apply(
% apply(b,Y),Z),V_3)))
% -> (true)
% Rule [20]
% (eq)(apply(X,apply(Y,Z)),apply(combinator,apply(apply(apply(b,X),Y),Z)))
% -> (false) is composed into [20]
% (eq)(apply(X,apply(Y,Z)),apply(combinator,
% apply(apply(
% apply(b,X),Y),Z)))
% -> (true)
% Rule [19]
% (eq)(apply(apply(apply(h,b),X),Y),apply(apply(apply(b,combinator),X),
% apply(Y,X))) -> (false) is composed into 
% [19]
% (eq)(apply(apply(apply(h,b),X),Y),apply(apply(apply(b,combinator),X),
% apply(Y,X))) -> (true)
% Rule [18]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),apply(apply(
% apply(b,combinator),X),
% apply(Y,apply(Z,V_3))))
% -> (false) is composed into [18]
% (eq)(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),
% apply(apply(apply(b,combinator),X),apply(Y,
% apply(Z,V_3))))
% -> (true)
% Rule [17]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),apply(apply(
% apply(b,combinator),
% apply(X,Y)),
% apply(Z,V_3))) ->
% (false) is composed into [17]
% (eq)(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),
% apply(apply(apply(b,combinator),apply(X,Y)),
% apply(Z,V_3))) -> (true)
% Rule [16]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(apply(apply(apply(apply(b,b),
% apply(b,combinator)),X),Y),Z))
% -> (false) is composed into [16]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(
% apply(
% apply(
% apply(
% apply(b,b),
% apply(b,combinator)),X),Y),Z))
% -> (true)
% Rule [15]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(combinator,apply(X,apply(Y,Z))))
% -> (false) is composed into [15]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(combinator,
% apply(X,
% apply(Y,Z))))
% -> (true)
% Rule [14]
% (eq)(apply(apply(X,Y),Z),apply(apply(apply(apply(apply(apply(b,b),b),combinator),X),Y),Z))
% -> (false) is composed into [14]
% (eq)(apply(apply(X,Y),Z),apply(apply(
% apply(
% apply(
% apply(
% apply(b,b),b),combinator),X),Y),Z))
% -> (true)
% Rule [13]
% (eq)(apply(X,apply(Y,Z)),apply(apply(apply(apply(apply(b,b),apply(b,combinator)),X),Y),Z))
% -> (false) is composed into [13]
% (eq)(apply(X,apply(Y,Z)),apply(apply(
% apply(
% apply(
% apply(b,b),
% apply(b,combinator)),X),Y),Z))
% -> (true)
% Rule [12]
% (eq)(apply(apply(apply(X,Y),Z),Y),apply(apply(apply(b,combinator),
% apply(apply(h,X),Y)),Z)) ->
% (false) is composed into [12]
% (eq)(apply(apply(apply(X,Y),Z),Y),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(h,X),Y)),Z))
% -> (true)
% Rule [11]
% (eq)(apply(apply(apply(h,X),Y),Z),apply(apply(apply(b,combinator),
% apply(apply(X,Y),Z)),Y)) ->
% (false) is composed into [11]
% (eq)(apply(apply(apply(h,X),Y),Z),apply(
% apply(
% apply(b,combinator),
% apply(
% apply(X,Y),Z)),Y))
% -> (true)
% Rule [10]
% (eq)(apply(X,combinator),apply(apply(apply(h,b),combinator),X)) ->
% (false) is composed into [10]
% (eq)(apply(X,combinator),apply(apply(apply(h,b),combinator),X))
% -> (true)
% Rule [9]
% (eq)(apply(X,apply(Y,Z)),apply(apply(apply(b,combinator),apply(apply(b,X),Y)),Z))
% -> (false) is composed into [9]
% (eq)(apply(X,apply(Y,Z)),apply(apply(
% apply(b,combinator),
% apply(
% apply(b,X),Y)),Z))
% -> (true)
% Rule [8]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(apply(apply(b,combinator),X),
% apply(Y,Z))) -> (false) is composed into 
% [8]
% (eq)(apply(apply(apply(b,X),Y),Z),apply(apply(apply(b,combinator),X),
% apply(Y,Z))) -> (true)
% Rule [7] (eq)(apply(X,Y),apply(apply(apply(b,combinator),X),Y)) -> (false) is composed into 
% [7] (eq)(apply(X,Y),apply(apply(apply(b,combinator),X),Y)) -> (true)
% Rule [1] (eq)(Y,apply(combinator,Y)) -> (false) is composed into [1]
% (eq)(Y,
% apply(combinator,Y))
% -> (true)
% New rule produced : [451] (false) -> (true)
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 1204
% Current number of ordered equations: 0
% Current number of rules: 449
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 9 rules have been used:
% [1] 
% (eq)(Y,apply(combinator,Y)) -> (false); trace = in the starting set
% [2] (eq)(X,X) -> (true); trace = in the starting set
% [3] apply(X,apply(Y,Z)) <-> apply(apply(apply(b,X),Y),Z); trace = in the starting set
% [6] apply(apply(apply(h,X),Y),Z) <-> apply(apply(apply(X,Y),Z),Y); trace = in the starting set
% [7] (eq)(apply(X,Y),apply(apply(apply(b,combinator),X),Y)) -> (false); trace = Cp of 3 and 1
% [12] (eq)(apply(apply(apply(X,Y),Z),Y),apply(apply(apply(b,combinator),
% apply(apply(h,X),Y)),Z)) ->
% (false); trace = Cp of 7 and 6
% [35] (eq)(apply(apply(apply(X,Y),X),Y),apply(apply(apply(b,combinator),
% apply(apply(h,h),X)),Y)) ->
% (false); trace = Cp of 12 and 6
% [142] (eq)(apply(apply(apply(X,Y),X),Y),apply(apply(apply(apply(apply(
% apply(b,b),b),combinator),
% apply(h,h)),X),Y)) ->
% (false); trace = Cp of 35 and 3
% [451] (false) -> (true); trace = Cp of 142 and 2
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 5.270000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------