TSTP Solution File: COL066-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : COL066-1 : TPTP v6.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n056.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 00:20:02 EDT 2014
% Result : Timeout 300.11s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : COL066-1 : TPTP v6.0.0. Released v1.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n056.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 : Fri Jun 6 00:53:53 CDT 2014
% % CPUTime : 300.11
% Processing problem /tmp/CiME_64520_n056.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " w,q,b : constant; h : 1; g : 1; f : 1; apply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z));
% apply(apply(apply(q,X),Y),Z) = apply(Y,apply(X,Z));
% apply(apply(w,X),Y) = apply(apply(X,Y),Y);
% ";
%
% let s1 = status F "
% h lr_lex;
% g lr_lex;
% f lr_lex;
% w lr_lex;
% q lr_lex;
% apply lr_lex;
% b lr_lex;
% ";
%
% let p1 = precedence F "
% apply > f > g > h > b > q > w";
%
% let s2 = status F "
% h mul;
% g mul;
% f mul;
% w mul;
% q mul;
% apply mul;
% b mul;
% ";
%
% let p2 = precedence F "
% apply > f > g > h > b = q = w";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " apply(apply(apply(apply(X,f(X)),g(X)),g(X)),h(X)) = apply(apply(f(X),g(X)),apply(apply(f(X),g(X)),h(X)));"
% ;
% (*
% 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(q,X),Y),Z) =
% apply(Y,apply(X,Z)),
% apply(apply(w,X),Y) = apply(apply(X,Y),Y) }
% (3 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
%
% [w] = 1;
% [q] = 2;
% [b] = 3;
% [h](x1) = 4 + x1;
% [g](x1) = 5 + x1;
% [f](x1) = 6 + x1;
% [apply](x1,x2) = 1 + x1 + x2;
% Chosen ordering : KBO
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { apply(apply(apply(apply(X,f(X)),g(X)),g(X)),
% h(X)) =
% apply(apply(f(X),g(X)),apply(apply(
% f(X),g(X)),
% h(X))) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] (eq)(X,X) -> (true)
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 1
% New rule produced : [2] apply(apply(X,Y),Y) <-> apply(apply(w,X),Y)
% Current number of equations to process: 1
% Current number of ordered equations: 3
% Current number of rules: 2
% New rule produced : [3] apply(apply(w,X),Y) <-> apply(apply(X,Y),Y)
% 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(q,X),Y),Z) -> apply(Y,apply(X,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced :
% [6]
% (eq)(apply(apply(apply(w,apply(X,f(X))),g(X)),h(X)),apply(apply(f(X),g(X)),
% apply(apply(f(X),g(X)),
% h(X)))) -> (false)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] apply(apply(w,w),X) <-> apply(apply(X,X),X)
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced : [8] apply(apply(X,X),X) <-> apply(apply(w,w),X)
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] apply(X,apply(X,Y)) <-> apply(apply(apply(w,b),X),Y)
% Current number of equations to process: 6
% Current number of ordered equations: 3
% Current number of rules: 9
% New rule produced : [10] apply(X,apply(Y,Y)) <-> apply(apply(w,apply(b,X)),Y)
% Current number of equations to process: 6
% Current number of ordered equations: 2
% Current number of rules: 10
% New rule produced : [11] apply(apply(apply(w,b),X),Y) <-> apply(X,apply(X,Y))
% Current number of equations to process: 6
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced : [12] apply(apply(w,apply(b,X)),Y) <-> apply(X,apply(Y,Y))
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] apply(X,apply(X,Y)) <-> apply(apply(apply(w,q),X),Y)
% Current number of equations to process: 4
% Current number of ordered equations: 3
% Current number of rules: 13
% New rule produced : [14] apply(Y,apply(X,Y)) <-> apply(apply(w,apply(q,X)),Y)
% Current number of equations to process: 4
% Current number of ordered equations: 2
% Current number of rules: 14
% New rule produced : [15] apply(apply(apply(w,q),X),Y) <-> apply(X,apply(X,Y))
% Current number of equations to process: 4
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced : [16] apply(apply(w,apply(q,X)),Y) <-> apply(Y,apply(X,Y))
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] apply(X,apply(X,X)) <-> apply(apply(w,apply(w,b)),X)
% Current number of equations to process: 42
% Current number of ordered equations: 2
% Current number of rules: 17
% New rule produced : [18] apply(apply(apply(w,w),b),X) -> apply(b,apply(b,X))
% Current number of equations to process: 42
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced : [19] apply(apply(w,apply(w,b)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20]
% (eq)(apply(apply(f(b),apply(g(b),g(b))),h(b)),apply(apply(f(b),g(b)),
% apply(apply(f(b),g(b)),
% h(b)))) -> (false)
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [21] apply(X,apply(X,X)) <-> apply(apply(w,apply(w,q)),X)
% Current number of equations to process: 98
% Current number of ordered equations: 2
% Current number of rules: 21
% New rule produced : [22] apply(apply(apply(w,w),q),X) -> apply(q,apply(q,X))
% Current number of equations to process: 98
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced : [23] apply(apply(w,apply(w,q)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24]
% (eq)(apply(apply(g(q),apply(f(q),g(q))),h(q)),apply(apply(f(q),g(q)),
% apply(apply(f(q),g(q)),
% h(q)))) -> (false)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [25] apply(apply(w,apply(w,w)),b) -> apply(b,apply(b,b))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [26] apply(apply(w,apply(w,w)),q) -> apply(q,apply(q,q))
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27] apply(apply(apply(w,X),Y),Y) -> apply(apply(w,apply(X,Y)),Y)
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [28] apply(apply(apply(X,Y),Y),Y) <-> apply(apply(w,apply(w,X)),Y)
% Current number of equations to process: 244
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [29] apply(apply(w,apply(w,X)),Y) <-> apply(apply(apply(X,Y),Y),Y)
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [30] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(w,w)),X)
% Current number of equations to process: 297
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [31] apply(apply(w,apply(w,w)),X) <-> apply(apply(apply(X,X),X),X)
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [32] apply(apply(w,apply(w,X)),X) <-> apply(apply(w,apply(X,X)),X)
% Current number of equations to process: 319
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [33] apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(w,X)),X)
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 33
% Rule [9] apply(X,apply(X,Y)) <-> apply(apply(apply(w,b),X),Y) is composed into
% [9] apply(X,apply(X,Y)) <-> apply(apply(apply(w,q),X),Y)
% New rule produced :
% [34] apply(apply(apply(w,b),X),Y) -> apply(apply(apply(w,q),X),Y)
% Rule [11] apply(apply(apply(w,b),X),Y) <-> apply(X,apply(X,Y)) collapsed.
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35] apply(apply(w,apply(b,X)),X) -> apply(apply(w,apply(q,X)),X)
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [36] apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(w,b)),X)
% Current number of equations to process: 347
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [37] apply(apply(w,apply(w,b)),X) <-> apply(apply(w,apply(q,X)),X)
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38] apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(w,q)),X)
% Current number of equations to process: 358
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [39] apply(apply(w,apply(w,q)),X) <-> apply(apply(w,apply(q,X)),X)
% Current number of equations to process: 360
% Current number of ordered equations: 0
% Current number of rules: 38
% Rule [36] apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(w,b)),X) is composed into
% [36] apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(w,q)),X)
% Rule [17] apply(X,apply(X,X)) <-> apply(apply(w,apply(w,b)),X) is composed into
% [17] apply(X,apply(X,X)) <-> apply(apply(w,apply(w,q)),X)
% New rule produced :
% [40] apply(apply(w,apply(w,b)),X) -> apply(apply(w,apply(w,q)),X)
% Rule [19] apply(apply(w,apply(w,b)),X) <-> apply(X,apply(X,X)) collapsed.
% Rule [37] apply(apply(w,apply(w,b)),X) <-> apply(apply(w,apply(q,X)),X)
% collapsed.
% Current number of equations to process: 377
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [41] apply(apply(w,apply(X,Y)),Y) <-> apply(apply(w,apply(w,X)),Y)
% Rule [33] apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(w,X)),X)
% collapsed.
% Rule [36] apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(w,q)),X)
% collapsed.
% Rule [38] apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(w,q)),X)
% collapsed.
% Current number of equations to process: 385
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [42] apply(apply(w,apply(w,X)),Y) <-> apply(apply(w,apply(X,Y)),Y)
% Rule [32] apply(apply(w,apply(w,X)),X) <-> apply(apply(w,apply(X,X)),X)
% collapsed.
% Rule [39] apply(apply(w,apply(w,q)),X) <-> apply(apply(w,apply(q,X)),X)
% collapsed.
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [43]
% (eq)(apply(apply(apply(w,apply(f(w),g(w))),g(w)),h(w)),apply(apply(f(w),g(w)),
% apply(apply(f(w),g(w)),
% h(w)))) -> (false)
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [44] apply(apply(w,apply(w,w)),X) <-> apply(apply(w,apply(X,X)),X)
% Current number of equations to process: 421
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [45] apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(w,w)),X)
% Current number of equations to process: 421
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [46] apply(apply(X,apply(Y,Z)),Z) <-> apply(apply(w,apply(apply(b,X),Y)),Z)
% Current number of equations to process: 435
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [47] apply(apply(w,apply(apply(b,X),Y)),Z) <-> apply(apply(X,apply(Y,Z)),Z)
% Current number of equations to process: 435
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [48] apply(X,apply(X,X)) <-> apply(apply(w,apply(apply(b,w),b)),X)
% Current number of equations to process: 505
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [49] apply(apply(w,apply(apply(b,w),b)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 505
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [50] apply(X,apply(X,X)) <-> apply(apply(w,apply(apply(b,w),q)),X)
% Current number of equations to process: 504
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [51] apply(apply(w,apply(apply(b,w),q)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 504
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [52] apply(apply(w,apply(apply(w,b),w)),q) -> apply(q,apply(q,q))
% Current number of equations to process: 503
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [53] apply(apply(w,apply(apply(w,b),w)),b) -> apply(b,apply(b,b))
% Current number of equations to process: 502
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [54] apply(apply(w,apply(w,apply(b,w))),b) -> apply(b,apply(b,b))
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [55] apply(apply(w,apply(w,apply(b,w))),q) -> apply(q,apply(q,q))
% Current number of equations to process: 629
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [56] apply(apply(X,apply(Y,Z)),Z) <-> apply(apply(w,apply(apply(q,Y),X)),Z)
% Current number of equations to process: 650
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [57] apply(apply(w,apply(apply(q,Y),X)),Z) <-> apply(apply(X,apply(Y,Z)),Z)
% Current number of equations to process: 650
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [58] apply(X,apply(X,X)) <-> apply(apply(w,apply(apply(q,b),w)),X)
% Current number of equations to process: 719
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [59] apply(apply(w,apply(apply(q,b),w)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [60] apply(X,apply(X,X)) <-> apply(apply(w,apply(apply(q,q),w)),X)
% Current number of equations to process: 718
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [61] apply(apply(w,apply(apply(q,q),w)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [62] apply(apply(w,apply(apply(w,q),w)),q) -> apply(q,apply(q,q))
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [63] apply(apply(w,apply(apply(w,q),w)),b) -> apply(b,apply(b,b))
% Current number of equations to process: 716
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [64] apply(apply(w,apply(w,apply(q,b))),w) -> apply(w,apply(w,w))
% Current number of equations to process: 836
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [65] apply(apply(w,apply(w,apply(q,q))),w) -> apply(w,apply(w,w))
% Current number of equations to process: 920
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [66] apply(X,apply(apply(b,X),apply(b,X))) <-> apply(apply(w,w),apply(b,X))
% Current number of equations to process: 948
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [67] apply(apply(w,w),apply(b,X)) <-> apply(X,apply(apply(b,X),apply(b,X)))
% Current number of equations to process: 948
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [68] apply(apply(q,X),apply(X,apply(q,X))) <-> apply(apply(w,w),apply(q,X))
% Current number of equations to process: 998
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [69] apply(apply(w,w),apply(q,X)) <-> apply(apply(q,X),apply(X,apply(q,X)))
% Current number of equations to process: 998
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [70] apply(apply(apply(w,apply(b,w)),X),Y) <-> apply(apply(apply(X,X),Y),Y)
% Current number of equations to process: 1024
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [71] apply(apply(apply(X,X),Y),Y) <-> apply(apply(apply(w,apply(b,w)),X),Y)
% Current number of equations to process: 1024
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [72] apply(apply(X,apply(X,Y)),Y) <-> apply(apply(w,apply(apply(w,b),X)),Y)
% Current number of equations to process: 1102
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [73] apply(apply(w,apply(apply(w,b),X)),Y) <-> apply(apply(X,apply(X,Y)),Y)
% Rule [52] apply(apply(w,apply(apply(w,b),w)),q) -> apply(q,apply(q,q))
% collapsed.
% Rule [53] apply(apply(w,apply(apply(w,b),w)),b) -> apply(b,apply(b,b))
% collapsed.
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [74] apply(apply(X,apply(Y,Y)),Y) <-> apply(apply(w,apply(w,apply(b,X))),Y)
% Current number of equations to process: 1195
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [75] apply(apply(w,apply(w,apply(b,X))),Y) <-> apply(apply(X,apply(Y,Y)),Y)
% Rule [54] apply(apply(w,apply(w,apply(b,w))),b) -> apply(b,apply(b,b))
% collapsed.
% Rule [55] apply(apply(w,apply(w,apply(b,w))),q) -> apply(q,apply(q,q))
% collapsed.
% Current number of equations to process: 1195
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [76] apply(apply(w,apply(q,apply(Y,X))),X) -> apply(X,apply(apply(w,Y),X))
% Current number of equations to process: 1294
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [77] apply(X,apply(apply(Y,X),X)) <-> apply(apply(w,apply(q,apply(w,Y))),X)
% Current number of equations to process: 1352
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [78] apply(apply(w,apply(q,apply(w,Y))),X) <-> apply(X,apply(apply(Y,X),X))
% Current number of equations to process: 1352
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [79] apply(X,apply(apply(X,X),X)) <-> apply(apply(w,apply(q,apply(w,w))),X)
% Current number of equations to process: 1445
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [80] apply(apply(w,apply(q,apply(w,w))),X) <-> apply(X,apply(apply(X,X),X))
% Current number of equations to process: 1445
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [81] apply(apply(X,apply(X,Y)),Y) <-> apply(apply(w,apply(apply(w,q),X)),Y)
% Current number of equations to process: 1484
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [82] apply(apply(w,apply(apply(w,q),X)),Y) <-> apply(apply(X,apply(X,Y)),Y)
% Rule [62] apply(apply(w,apply(apply(w,q),w)),q) -> apply(q,apply(q,q))
% collapsed.
% Rule [63] apply(apply(w,apply(apply(w,q),w)),b) -> apply(b,apply(b,b))
% collapsed.
% Current number of equations to process: 1484
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [83] apply(apply(X,apply(Y,X)),X) <-> apply(apply(w,apply(w,apply(q,Y))),X)
% Current number of equations to process: 1589
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [84] apply(apply(w,apply(w,apply(q,Y))),X) <-> apply(apply(X,apply(Y,X)),X)
% Rule [64] apply(apply(w,apply(w,apply(q,b))),w) -> apply(w,apply(w,w))
% collapsed.
% Rule [65] apply(apply(w,apply(w,apply(q,q))),w) -> apply(w,apply(w,w))
% collapsed.
% Current number of equations to process: 1589
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [85] apply(apply(b,apply(b,X)),X) <-> apply(apply(w,apply(apply(w,w),b)),X)
% Current number of equations to process: 1717
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [86] apply(apply(w,apply(apply(w,w),b)),X) <-> apply(apply(b,apply(b,X)),X)
% Current number of equations to process: 1717
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [87] apply(apply(X,apply(X,X)),X) <-> apply(apply(w,apply(w,apply(w,b))),X)
% Current number of equations to process: 1758
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [88] apply(apply(w,apply(w,apply(w,b))),X) <-> apply(apply(X,apply(X,X)),X)
% Current number of equations to process: 1758
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [89] apply(apply(q,apply(q,X)),X) <-> apply(apply(w,apply(apply(w,w),q)),X)
% Current number of equations to process: 1826
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [90] apply(apply(w,apply(apply(w,w),q)),X) <-> apply(apply(q,apply(q,X)),X)
% Current number of equations to process: 1826
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [91] apply(apply(X,apply(X,X)),X) <-> apply(apply(w,apply(w,apply(w,q))),X)
% Current number of equations to process: 1872
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [92] apply(apply(w,apply(w,apply(w,q))),X) <-> apply(apply(X,apply(X,X)),X)
% Current number of equations to process: 1872
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [93] apply(apply(w,apply(w,apply(w,w))),b) -> apply(apply(b,apply(b,b)),b)
% Current number of equations to process: 1939
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [94] apply(apply(w,apply(w,apply(w,w))),q) -> apply(apply(q,apply(q,q)),q)
% Current number of equations to process: 1942
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [95] apply(apply(w,apply(apply(b,w),X)),X) -> apply(apply(w,apply(w,X)),X)
% Current number of equations to process: 1935
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [96] apply(apply(w,apply(w,q)),apply(w,b)) -> apply(apply(w,w),apply(w,b))
% Current number of equations to process: 1948
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [97] apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(apply(b,w),b)),X)
% Current number of equations to process: 1951
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [98] apply(apply(w,apply(apply(b,w),b)),X) <-> apply(apply(w,apply(q,X)),X)
% Current number of equations to process: 1951
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [99] apply(apply(apply(w,w),apply(b,w)),b) -> apply(b,apply(b,b))
% Current number of equations to process: 1984
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [100] apply(apply(apply(X,Y),Y),Y) <-> apply(apply(w,apply(apply(b,w),X)),Y)
% Current number of equations to process: 2002
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [101] apply(apply(w,apply(apply(b,w),X)),Y) <-> apply(apply(apply(X,Y),Y),Y)
% Current number of equations to process: 2002
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [102] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(apply(w,b),w)),X)
% Current number of equations to process: 2100
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [103] apply(apply(w,apply(apply(w,b),w)),X) <-> apply(apply(apply(X,X),X),X)
% Current number of equations to process: 2100
% Current number of ordered equations: 0
% Current number of rules: 87
% Rule [100]
% apply(apply(apply(X,Y),Y),Y) <-> apply(apply(w,apply(apply(b,w),X)),Y) is composed into
% [100] apply(apply(apply(X,Y),Y),Y) <-> apply(apply(w,apply(w,X)),Y)
% Rule [97]
% apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(apply(b,w),b)),X) is composed into
% [97] apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(w,b)),X)
% Rule [50] apply(X,apply(X,X)) <-> apply(apply(w,apply(apply(b,w),q)),X) is composed into
% [50] apply(X,apply(X,X)) <-> apply(apply(w,apply(w,q)),X)
% Rule [48] apply(X,apply(X,X)) <-> apply(apply(w,apply(apply(b,w),b)),X) is composed into
% [48] apply(X,apply(X,X)) <-> apply(apply(w,apply(w,b)),X)
% New rule produced :
% [104] apply(apply(w,apply(apply(b,w),X)),Y) -> apply(apply(w,apply(w,X)),Y)
% Rule [49] apply(apply(w,apply(apply(b,w),b)),X) <-> apply(X,apply(X,X))
% collapsed.
% Rule [51] apply(apply(w,apply(apply(b,w),q)),X) <-> apply(X,apply(X,X))
% collapsed.
% Rule
% [95] apply(apply(w,apply(apply(b,w),X)),X) -> apply(apply(w,apply(w,X)),X)
% collapsed.
% Rule
% [98] apply(apply(w,apply(apply(b,w),b)),X) <-> apply(apply(w,apply(q,X)),X)
% collapsed.
% Rule
% [101] apply(apply(w,apply(apply(b,w),X)),Y) <-> apply(apply(apply(X,Y),Y),Y)
% collapsed.
% Current number of equations to process: 2145
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [105] apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(apply(w,b),w)),X)
% Current number of equations to process: 2173
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [106] apply(apply(w,apply(apply(w,b),w)),X) <-> apply(apply(w,apply(X,X)),X)
% Current number of equations to process: 2173
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [107] apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(apply(q,b),w)),X)
% Current number of equations to process: 2202
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [108] apply(apply(w,apply(apply(q,b),w)),X) <-> apply(apply(w,apply(q,X)),X)
% Current number of equations to process: 2202
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [109] apply(apply(apply(X,Y),Y),Y) <-> apply(apply(w,apply(apply(q,X),w)),Y)
% Current number of equations to process: 2244
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [110] apply(apply(w,apply(apply(q,X),w)),Y) <-> apply(apply(apply(X,Y),Y),Y)
% Current number of equations to process: 2244
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [111] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(apply(w,q),w)),X)
% Current number of equations to process: 2338
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [112] apply(apply(w,apply(apply(w,q),w)),X) <-> apply(apply(apply(X,X),X),X)
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 91
% Rule [109]
% apply(apply(apply(X,Y),Y),Y) <-> apply(apply(w,apply(apply(q,X),w)),Y) is composed into
% [109] apply(apply(apply(X,Y),Y),Y) <-> apply(apply(w,apply(w,X)),Y)
% Rule [107]
% apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(apply(q,b),w)),X) is composed into
% [107] apply(apply(w,apply(q,X)),X) <-> apply(apply(w,apply(w,b)),X)
% Rule [60] apply(X,apply(X,X)) <-> apply(apply(w,apply(apply(q,q),w)),X) is composed into
% [60] apply(X,apply(X,X)) <-> apply(apply(w,apply(w,q)),X)
% Rule [58] apply(X,apply(X,X)) <-> apply(apply(w,apply(apply(q,b),w)),X) is composed into
% [58] apply(X,apply(X,X)) <-> apply(apply(w,apply(w,b)),X)
% New rule produced :
% [113] apply(apply(w,apply(apply(q,X),w)),Y) -> apply(apply(w,apply(w,X)),Y)
% Rule [59] apply(apply(w,apply(apply(q,b),w)),X) <-> apply(X,apply(X,X))
% collapsed.
% Rule [61] apply(apply(w,apply(apply(q,q),w)),X) <-> apply(X,apply(X,X))
% collapsed.
% Rule
% [108] apply(apply(w,apply(apply(q,b),w)),X) <-> apply(apply(w,apply(q,X)),X)
% collapsed.
% Rule
% [110] apply(apply(w,apply(apply(q,X),w)),Y) <-> apply(apply(apply(X,Y),Y),Y)
% collapsed.
% Current number of equations to process: 2388
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [114] apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(apply(w,q),w)),X)
% Current number of equations to process: 2409
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [115] apply(apply(w,apply(apply(w,q),w)),X) <-> apply(apply(w,apply(X,X)),X)
% Current number of equations to process: 2409
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [116] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(w,apply(b,w))),X)
% Current number of equations to process: 2435
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [117] apply(apply(w,apply(w,apply(b,w))),X) <-> apply(apply(apply(X,X),X),X)
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 92
% Rule [105]
% apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(apply(w,b),w)),X) is composed into
% [105] apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(w,w)),X)
% Rule [102]
% apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(apply(w,b),w)),X) is composed into
% [102] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(w,w)),X)
% New rule produced :
% [118] apply(apply(w,apply(apply(w,b),w)),X) -> apply(apply(w,apply(w,w)),X)
% Rule
% [103] apply(apply(w,apply(apply(w,b),w)),X) <-> apply(apply(apply(X,X),X),X)
% collapsed.
% Rule
% [106] apply(apply(w,apply(apply(w,b),w)),X) <-> apply(apply(w,apply(X,X)),X)
% collapsed.
% Current number of equations to process: 2472
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [119] apply(apply(w,apply(w,X)),X) <-> apply(apply(w,apply(w,apply(b,w))),X)
% Current number of equations to process: 2487
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [120] apply(apply(w,apply(w,apply(b,w))),X) <-> apply(apply(w,apply(w,X)),X)
% Current number of equations to process: 2487
% Current number of ordered equations: 0
% Current number of rules: 93
% Rule [119]
% apply(apply(w,apply(w,X)),X) <-> apply(apply(w,apply(w,apply(b,w))),X) is composed into
% [119] apply(apply(w,apply(w,X)),X) <-> apply(apply(w,apply(w,w)),X)
% Rule [116]
% apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(w,apply(b,w))),X) is composed into
% [116] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(w,w)),X)
% New rule produced :
% [121] apply(apply(w,apply(w,apply(b,w))),X) -> apply(apply(w,apply(w,w)),X)
% Rule
% [117] apply(apply(w,apply(w,apply(b,w))),X) <-> apply(apply(apply(X,X),X),X)
% collapsed.
% Rule
% [120] apply(apply(w,apply(w,apply(b,w))),X) <-> apply(apply(w,apply(w,X)),X)
% collapsed.
% Current number of equations to process: 2528
% Current number of ordered equations: 0
% Current number of rules: 92
% Rule [114]
% apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(apply(w,q),w)),X) is composed into
% [114] apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(w,w)),X)
% Rule [111]
% apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(apply(w,q),w)),X) is composed into
% [111] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(w,w)),X)
% New rule produced :
% [122] apply(apply(w,apply(apply(w,q),w)),X) -> apply(apply(w,apply(w,w)),X)
% Rule
% [112] apply(apply(w,apply(apply(w,q),w)),X) <-> apply(apply(apply(X,X),X),X)
% collapsed.
% Rule
% [115] apply(apply(w,apply(apply(w,q),w)),X) <-> apply(apply(w,apply(X,X)),X)
% collapsed.
% Current number of equations to process: 2544
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [123] apply(apply(w,apply(w,X)),X) <-> apply(apply(apply(w,w),apply(b,w)),X)
% Current number of equations to process: 2557
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [124] apply(apply(apply(w,w),apply(b,w)),X) <-> apply(apply(w,apply(w,X)),X)
% Rule [99] apply(apply(apply(w,w),apply(b,w)),b) -> apply(b,apply(b,b))
% collapsed.
% Current number of equations to process: 2557
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [125] apply(apply(w,apply(X,X)),X) <-> apply(apply(apply(w,w),apply(b,w)),X)
% Current number of equations to process: 2599
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [126] apply(apply(apply(w,w),apply(b,w)),X) <-> apply(apply(w,apply(X,X)),X)
% Current number of equations to process: 2599
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [127] apply(apply(apply(X,X),X),X) <-> apply(apply(apply(w,w),apply(b,w)),X)
% Current number of equations to process: 2637
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [128] apply(apply(apply(w,w),apply(b,w)),X) <-> apply(apply(apply(X,X),X),X)
% Current number of equations to process: 2637
% Current number of ordered equations: 0
% Current number of rules: 96
% Rule [127]
% apply(apply(apply(X,X),X),X) <-> apply(apply(apply(w,w),apply(b,w)),X) is composed into
% [127] apply(apply(apply(X,X),X),X) <-> apply(apply(w,apply(w,w)),X)
% Rule [125]
% apply(apply(w,apply(X,X)),X) <-> apply(apply(apply(w,w),apply(b,w)),X) is composed into
% [125] apply(apply(w,apply(X,X)),X) <-> apply(apply(w,apply(w,w)),X)
% Rule [123]
% apply(apply(w,apply(w,X)),X) <-> apply(apply(apply(w,w),apply(b,w)),X) is composed into
% [123] apply(apply(w,apply(w,X)),X) <-> apply(apply(w,apply(w,w)),X)
% New rule produced :
% [129] apply(apply(apply(w,w),apply(b,w)),X) -> apply(apply(w,apply(w,w)),X)
% Rule
% [124] apply(apply(apply(w,w),apply(b,w)),X) <-> apply(apply(w,apply(w,X)),X)
% collapsed.
% Rule
% [126] apply(apply(apply(w,w),apply(b,w)),X) <-> apply(apply(w,apply(X,X)),X)
% collapsed.
% Rule
% [128] apply(apply(apply(w,w),apply(b,w)),X) <-> apply(apply(apply(X,X),X),X)
% collapsed.
% Current number of equations to process: 2655
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [130]
% apply(apply(apply(w,q),X),apply(X,Y)) ->
% apply(X,apply(apply(apply(w,q),X),Y))
% Current number of equations to process: 2667
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [131]
% apply(apply(X,Y),apply(apply(w,X),Y)) <->
% apply(apply(apply(w,q),apply(X,Y)),Y)
% Current number of equations to process: 2764
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [132]
% apply(apply(apply(w,q),apply(X,Y)),Y) <->
% apply(apply(X,Y),apply(apply(w,X),Y))
% Current number of equations to process: 2764
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [133]
% apply(apply(w,X),apply(apply(X,Y),Y)) <->
% apply(apply(apply(w,q),apply(w,X)),Y)
% Current number of equations to process: 2993
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [134]
% apply(apply(apply(w,q),apply(w,X)),Y) <->
% apply(apply(w,X),apply(apply(X,Y),Y))
% Current number of equations to process: 2993
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [135]
% apply(apply(apply(w,q),apply(X,X)),X) ->
% apply(apply(X,X),apply(apply(w,w),X))
% Current number of equations to process: 3116
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [136]
% apply(apply(X,apply(Y,Y)),apply(Y,Y)) <->
% apply(apply(w,apply(b,apply(w,X))),Y)
% Current number of equations to process: 3140
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [137]
% apply(apply(w,apply(b,apply(w,X))),Y) <->
% apply(apply(X,apply(Y,Y)),apply(Y,Y))
% Current number of equations to process: 3140
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [138]
% apply(X,apply(apply(w,apply(b,X)),Y)) <->
% apply(apply(apply(w,q),X),apply(Y,Y))
% Current number of equations to process: 3260
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [139]
% apply(apply(apply(w,q),X),apply(Y,Y)) <->
% apply(X,apply(apply(w,apply(b,X)),Y))
% Current number of equations to process: 3260
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [140]
% apply(apply(apply(w,q),X),apply(Y,X)) ->
% apply(X,apply(apply(w,apply(q,Y)),X))
% Current number of equations to process: 3395
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [141]
% apply(apply(w,apply(apply(w,X),Y)),Y) ->
% apply(apply(w,apply(w,apply(X,Y))),Y)
% Current number of equations to process: 3479
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [142]
% apply(apply(apply(apply(X,Y),Y),Y),Y) <->
% apply(apply(w,apply(w,apply(w,X))),Y)
% Current number of equations to process: 3525
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [143]
% apply(apply(w,apply(w,apply(w,X))),Y) <->
% apply(apply(apply(apply(X,Y),Y),Y),Y)
% Current number of equations to process: 3525
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [144]
% apply(apply(apply(apply(X,X),X),X),X) <->
% apply(apply(w,apply(w,apply(w,w))),X)
% Current number of equations to process: 3642
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [145]
% apply(apply(w,apply(w,apply(w,w))),X) <->
% apply(apply(apply(apply(X,X),X),X),X)
% Current number of equations to process: 3642
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [146]
% apply(apply(w,apply(apply(X,Y),Y)),Y) <->
% apply(apply(w,apply(w,apply(w,X))),Y)
% Current number of equations to process: 3699
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [147]
% apply(apply(w,apply(w,apply(w,X))),Y) <->
% apply(apply(w,apply(apply(X,Y),Y)),Y)
% Current number of equations to process: 3699
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [148]
% apply(apply(w,apply(w,apply(w,w))),X) <->
% apply(apply(w,apply(w,apply(X,X))),X)
% Current number of equations to process: 3820
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [149]
% apply(apply(w,apply(w,apply(X,X))),X) <->
% apply(apply(w,apply(w,apply(w,w))),X)
% Current number of equations to process: 3820
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [150]
% apply(apply(w,apply(w,apply(w,X))),X) <->
% apply(apply(w,apply(w,apply(X,X))),X)
% Current number of equations to process: 3867
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [151]
% apply(apply(w,apply(w,apply(X,X))),X) <->
% apply(apply(w,apply(w,apply(w,X))),X)
% Current number of equations to process: 3867
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [152]
% apply(apply(apply(apply(w,q),X),Y),Y) <->
% apply(apply(w,apply(apply(w,b),X)),Y)
% Current number of equations to process: 3907
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [153]
% apply(apply(w,apply(apply(w,b),X)),Y) <->
% apply(apply(apply(apply(w,q),X),Y),Y)
% Current number of equations to process: 3907
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [154]
% apply(apply(w,apply(w,apply(b,X))),X) <->
% apply(apply(w,apply(apply(q,X),X)),X)
% Current number of equations to process: 3970
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [155]
% apply(apply(w,apply(apply(q,X),X)),X) <->
% apply(apply(w,apply(w,apply(b,X))),X)
% Current number of equations to process: 3970
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [156]
% apply(apply(w,apply(apply(b,X),X)),X) ->
% apply(apply(w,apply(apply(q,X),X)),X)
% Current number of equations to process: 4009
% Current number of ordered equations: 0
% Current number of rules: 121
% Rule [155]
% apply(apply(w,apply(apply(q,X),X)),X) <->
% apply(apply(w,apply(w,apply(b,X))),X) is composed into [155]
% apply(apply(w,
% apply(
% apply(q,X),X)),X)
% <->
% apply(apply(w,
% apply(w,
% apply(q,X))),X)
% New rule produced :
% [157]
% apply(apply(w,apply(w,apply(b,X))),X) ->
% apply(apply(w,apply(w,apply(q,X))),X)
% Rule
% [154]
% apply(apply(w,apply(w,apply(b,X))),X) <->
% apply(apply(w,apply(apply(q,X),X)),X) collapsed.
% Current number of equations to process: 4022
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [158]
% apply(apply(w,apply(w,apply(w,b))),X) <->
% apply(apply(w,apply(apply(q,X),X)),X)
% Current number of equations to process: 4038
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [159]
% apply(apply(w,apply(apply(q,X),X)),X) <->
% apply(apply(w,apply(w,apply(w,b))),X)
% Current number of equations to process: 4038
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [160]
% apply(apply(w,apply(w,apply(q,X))),X) <->
% apply(apply(w,apply(w,apply(w,b))),X)
% Current number of equations to process: 4078
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [161]
% apply(apply(w,apply(w,apply(w,b))),X) <->
% apply(apply(w,apply(w,apply(q,X))),X)
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [162]
% apply(apply(w,apply(apply(X,X),X)),X) <->
% apply(apply(w,apply(w,apply(w,w))),X)
% Current number of equations to process: 4112
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [163]
% apply(apply(w,apply(w,apply(w,w))),X) <->
% apply(apply(w,apply(apply(X,X),X)),X)
% Current number of equations to process: 4112
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [164]
% apply(apply(apply(apply(w,q),X),Y),Y) <->
% apply(apply(w,apply(apply(b,X),X)),Y)
% Current number of equations to process: 4154
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [165]
% apply(apply(w,apply(apply(b,X),X)),Y) <->
% apply(apply(apply(apply(w,q),X),Y),Y)
% Current number of equations to process: 4154
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [166]
% apply(apply(w,apply(apply(b,Y),X)),Y) <->
% apply(apply(w,apply(apply(q,X),Y)),Y)
% Rule
% [156]
% apply(apply(w,apply(apply(b,X),X)),X) ->
% apply(apply(w,apply(apply(q,X),X)),X) collapsed.
% Current number of equations to process: 4228
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [167]
% apply(apply(w,apply(apply(q,X),Y)),Y) <->
% apply(apply(w,apply(apply(b,Y),X)),Y)
% Current number of equations to process: 4228
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [168]
% apply(apply(w,apply(apply(b,X),Y)),Y) <->
% apply(apply(w,apply(apply(q,Y),X)),Y)
% Current number of equations to process: 4279
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [169]
% apply(apply(w,apply(apply(q,Y),X)),Y) <->
% apply(apply(w,apply(apply(b,X),Y)),Y)
% Current number of equations to process: 4279
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [170]
% apply(apply(apply(apply(w,q),X),Y),Y) <->
% apply(apply(w,apply(apply(q,X),X)),Y)
% Current number of equations to process: 4333
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [171]
% apply(apply(w,apply(apply(q,X),X)),Y) <->
% apply(apply(apply(apply(w,q),X),Y),Y)
% Current number of equations to process: 4333
% Current number of ordered equations: 0
% Current number of rules: 134
% Rule [164]
% apply(apply(apply(apply(w,q),X),Y),Y) <->
% apply(apply(w,apply(apply(b,X),X)),Y) is composed into [164]
% apply(apply(
% apply(
% apply(w,q),X),Y),Y)
% <->
% apply(apply(w,
% apply(
% apply(q,X),X)),Y)
% New rule produced :
% [172]
% apply(apply(w,apply(apply(b,X),Y)),Z) <->
% apply(apply(w,apply(apply(q,Y),X)),Z)
% Rule
% [165]
% apply(apply(w,apply(apply(b,X),X)),Y) <->
% apply(apply(apply(apply(w,q),X),Y),Y) collapsed.
% Rule
% [166]
% apply(apply(w,apply(apply(b,Y),X)),Y) <->
% apply(apply(w,apply(apply(q,X),Y)),Y) collapsed.
% Rule
% [168]
% apply(apply(w,apply(apply(b,X),Y)),Y) <->
% apply(apply(w,apply(apply(q,Y),X)),Y) collapsed.
% Current number of equations to process: 4403
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [173]
% apply(apply(w,apply(apply(q,Y),X)),Z) <->
% apply(apply(w,apply(apply(b,X),Y)),Z)
% Rule
% [167]
% apply(apply(w,apply(apply(q,X),Y)),Y) <->
% apply(apply(w,apply(apply(b,Y),X)),Y) collapsed.
% Rule
% [169]
% apply(apply(w,apply(apply(q,Y),X)),Y) <->
% apply(apply(w,apply(apply(b,X),Y)),Y) collapsed.
% Current number of equations to process: 4403
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [174]
% apply(apply(apply(w,w),apply(q,X)),Y) <->
% apply(apply(X,apply(q,X)),apply(X,Y))
% Current number of equations to process: 4467
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [175]
% apply(apply(X,apply(q,X)),apply(X,Y)) <->
% apply(apply(apply(w,w),apply(q,X)),Y)
% Current number of equations to process: 4467
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [176]
% apply(apply(w,apply(apply(w,b),X)),Y) <->
% apply(apply(w,apply(apply(q,X),X)),Y)
% Current number of equations to process: 4614
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [177]
% apply(apply(w,apply(apply(q,X),X)),Y) <->
% apply(apply(w,apply(apply(w,b),X)),Y)
% Current number of equations to process: 4614
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [178]
% apply(apply(w,apply(w,apply(b,Y))),X) <->
% apply(apply(w,apply(apply(q,X),Y)),X)
% Current number of equations to process: 4679
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [179]
% apply(apply(w,apply(apply(q,X),Y)),X) <->
% apply(apply(w,apply(w,apply(b,Y))),X)
% Current number of equations to process: 4679
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [180]
% apply(apply(apply(apply(X,w),w),Y),Y) <->
% apply(apply(w,apply(apply(w,X),w)),Y)
% Current number of equations to process: 4729
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [181]
% apply(apply(w,apply(apply(w,X),w)),Y) <->
% apply(apply(apply(apply(X,w),w),Y),Y)
% Current number of equations to process: 4729
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [182]
% apply(apply(w,apply(w,apply(w,X))),w) <->
% apply(apply(w,apply(w,apply(X,w))),w)
% Current number of equations to process: 4791
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [183]
% apply(apply(w,apply(w,apply(X,w))),w) <->
% apply(apply(w,apply(w,apply(w,X))),w)
% Current number of equations to process: 4791
% Current number of ordered equations: 0
% Current number of rules: 141
% Rule [177]
% apply(apply(w,apply(apply(q,X),X)),Y) <->
% apply(apply(w,apply(apply(w,b),X)),Y) is composed into [177]
% apply(apply(w,
% apply(
% apply(q,X),X)),Y)
% <->
% apply(apply(w,
% apply(
% apply(w,q),X)),Y)
% Rule [152]
% apply(apply(apply(apply(w,q),X),Y),Y) <->
% apply(apply(w,apply(apply(w,b),X)),Y) is composed into [152]
% apply(apply(
% apply(
% apply(w,q),X),Y),Y)
% <->
% apply(apply(w,
% apply(
% apply(w,q),X)),Y)
% Rule [72]
% apply(apply(X,apply(X,Y)),Y) <-> apply(apply(w,apply(apply(w,b),X)),Y) is composed into
% [72] apply(apply(X,apply(X,Y)),Y) <-> apply(apply(w,apply(apply(w,q),X)),Y)
% New rule produced :
% [184]
% apply(apply(w,apply(apply(w,b),X)),Y) ->
% apply(apply(w,apply(apply(w,q),X)),Y)
% Rule
% [73] apply(apply(w,apply(apply(w,b),X)),Y) <-> apply(apply(X,apply(X,Y)),Y)
% collapsed.
% Rule
% [118] apply(apply(w,apply(apply(w,b),w)),X) -> apply(apply(w,apply(w,w)),X)
% collapsed.
% Rule
% [153]
% apply(apply(w,apply(apply(w,b),X)),Y) <->
% apply(apply(apply(apply(w,q),X),Y),Y) collapsed.
% Rule
% [176]
% apply(apply(w,apply(apply(w,b),X)),Y) <->
% apply(apply(w,apply(apply(q,X),X)),Y) collapsed.
% Current number of equations to process: 4837
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [185]
% apply(apply(w,apply(apply(b,X),Y)),X) <->
% apply(apply(w,apply(w,apply(q,Y))),X)
% Current number of equations to process: 4867
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [186]
% apply(apply(w,apply(w,apply(q,Y))),X) <->
% apply(apply(w,apply(apply(b,X),Y)),X)
% Current number of equations to process: 4867
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [187]
% apply(apply(w,apply(apply(w,q),b)),X) ->
% apply(apply(w,apply(apply(w,w),b)),X)
% Current number of equations to process: 4916
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [188]
% apply(apply(w,apply(w,apply(q,X))),X) <->
% apply(apply(w,apply(w,apply(w,q))),X)
% Current number of equations to process: 4927
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [189]
% apply(apply(w,apply(w,apply(w,q))),X) <->
% apply(apply(w,apply(w,apply(q,X))),X)
% Current number of equations to process: 4927
% Current number of ordered equations: 0
% Current number of rules: 143
% Rule [160]
% apply(apply(w,apply(w,apply(q,X))),X) <->
% apply(apply(w,apply(w,apply(w,b))),X) is composed into [160]
% apply(apply(w,
% apply(w,
% apply(q,X))),X)
% <->
% apply(apply(w,
% apply(w,
% apply(w,q))),X)
% Rule [159]
% apply(apply(w,apply(apply(q,X),X)),X) <->
% apply(apply(w,apply(w,apply(w,b))),X) is composed into [159]
% apply(apply(w,
% apply(
% apply(q,X),X)),X)
% <->
% apply(apply(w,
% apply(w,
% apply(w,q))),X)
% Rule [87]
% apply(apply(X,apply(X,X)),X) <-> apply(apply(w,apply(w,apply(w,b))),X) is composed into
% [87] apply(apply(X,apply(X,X)),X) <-> apply(apply(w,apply(w,apply(w,q))),X)
% New rule produced :
% [190]
% apply(apply(w,apply(w,apply(w,b))),X) ->
% apply(apply(w,apply(w,apply(w,q))),X)
% Rule
% [88] apply(apply(w,apply(w,apply(w,b))),X) <-> apply(apply(X,apply(X,X)),X)
% collapsed.
% Rule
% [158]
% apply(apply(w,apply(w,apply(w,b))),X) <->
% apply(apply(w,apply(apply(q,X),X)),X) collapsed.
% Rule
% [161]
% apply(apply(w,apply(w,apply(w,b))),X) <->
% apply(apply(w,apply(w,apply(q,X))),X) collapsed.
% Current number of equations to process: 4970
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [191]
% apply(apply(w,apply(w,apply(X,Y))),Y) <->
% apply(apply(w,apply(w,apply(w,X))),Y)
% Rule
% [151]
% apply(apply(w,apply(w,apply(X,X))),X) <->
% apply(apply(w,apply(w,apply(w,X))),X) collapsed.
% Rule
% [160]
% apply(apply(w,apply(w,apply(q,X))),X) <->
% apply(apply(w,apply(w,apply(w,q))),X) collapsed.
% Rule
% [183]
% apply(apply(w,apply(w,apply(X,w))),w) <->
% apply(apply(w,apply(w,apply(w,X))),w) collapsed.
% Rule
% [188]
% apply(apply(w,apply(w,apply(q,X))),X) <->
% apply(apply(w,apply(w,apply(w,q))),X) collapsed.
% Current number of equations to process: 4956
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [192]
% apply(apply(w,apply(w,apply(w,X))),Y) <->
% apply(apply(w,apply(w,apply(X,Y))),Y)
% Rule
% [150]
% apply(apply(w,apply(w,apply(w,X))),X) <->
% apply(apply(w,apply(w,apply(X,X))),X) collapsed.
% Rule
% [182]
% apply(apply(w,apply(w,apply(w,X))),w) <->
% apply(apply(w,apply(w,apply(X,w))),w) collapsed.
% Rule
% [189]
% apply(apply(w,apply(w,apply(w,q))),X) <->
% apply(apply(w,apply(w,apply(q,X))),X) collapsed.
% Current number of equations to process: 4956
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [193]
% apply(apply(apply(apply(w,q),X),Y),apply(X,Y)) ->
% apply(apply(w,X),apply(X,Y))
% Current number of equations to process: 1821
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [194]
% apply(X,apply(X,apply(Y,Z))) <->
% apply(apply(apply(apply(w,q),apply(b,X)),Y),Z)
% Current number of equations to process: 1970
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [195]
% apply(apply(apply(apply(w,q),apply(b,X)),Y),Z) <->
% apply(X,apply(X,apply(Y,Z)))
% Current number of equations to process: 1970
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [196]
% apply(Y,apply(X,apply(X,Z))) <->
% apply(apply(apply(apply(w,q),apply(q,X)),Y),Z)
% Current number of equations to process: 2299
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [197]
% apply(apply(apply(apply(w,q),apply(q,X)),Y),Z) <->
% apply(Y,apply(X,apply(X,Z)))
% Current number of equations to process: 2299
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [198]
% apply(apply(apply(w,apply(b,X)),Y),apply(Y,Y)) ->
% apply(apply(w,X),apply(Y,Y))
% Current number of equations to process: 2633
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [199]
% apply(apply(w,apply(b,apply(X,apply(Y,Y)))),Y) ->
% apply(apply(w,X),apply(Y,Y))
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [200]
% apply(X,apply(Y,apply(Z,Z))) <->
% apply(apply(w,apply(b,apply(apply(b,X),Y))),Z)
% Current number of equations to process: 2787
% Current number of ordered equations: 5
% Current number of rules: 144
% New rule produced :
% [201]
% apply(X,apply(apply(Y,Y),Z)) <->
% apply(apply(apply(w,apply(b,apply(b,X))),Y),Z)
% Current number of equations to process: 2787
% Current number of ordered equations: 4
% Current number of rules: 145
% New rule produced :
% [202]
% apply(apply(X,X),apply(Y,Z)) <->
% apply(apply(apply(apply(w,apply(b,b)),X),Y),Z)
% Current number of equations to process: 2787
% Current number of ordered equations: 3
% Current number of rules: 146
% New rule produced :
% [203]
% apply(apply(apply(apply(w,apply(b,b)),X),Y),Z) <->
% apply(apply(X,X),apply(Y,Z))
% Current number of equations to process: 2787
% Current number of ordered equations: 2
% Current number of rules: 147
% New rule produced :
% [204]
% apply(apply(apply(w,apply(b,apply(b,X))),Y),Z) <->
% apply(X,apply(apply(Y,Y),Z))
% Current number of equations to process: 2787
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [205]
% apply(apply(w,apply(b,apply(apply(b,X),Y))),Z) <->
% apply(X,apply(Y,apply(Z,Z)))
% Current number of equations to process: 2787
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [206]
% apply(X,apply(Y,apply(Z,Z))) <->
% apply(apply(w,apply(b,apply(apply(q,Y),X))),Z)
% Current number of equations to process: 3854
% Current number of ordered equations: 5
% Current number of rules: 150
% New rule produced :
% [207]
% apply(Y,apply(apply(X,X),Z)) <->
% apply(apply(apply(apply(w,apply(b,q)),X),Y),Z)
% Current number of equations to process: 3854
% Current number of ordered equations: 4
% Current number of rules: 151
% New rule produced :
% [208]
% apply(apply(Y,Y),apply(X,Z)) <->
% apply(apply(apply(w,apply(b,apply(q,X))),Y),Z)
% Current number of equations to process: 3854
% Current number of ordered equations: 3
% Current number of rules: 152
% New rule produced :
% [209]
% apply(apply(apply(apply(w,apply(b,q)),X),Y),Z) <->
% apply(Y,apply(apply(X,X),Z))
% Current number of equations to process: 3854
% Current number of ordered equations: 2
% Current number of rules: 153
% New rule produced :
% [210]
% apply(apply(apply(w,apply(b,apply(q,X))),Y),Z) <->
% apply(apply(Y,Y),apply(X,Z))
% Current number of equations to process: 3854
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [211]
% apply(apply(w,apply(b,apply(apply(q,Y),X))),Z) <->
% apply(X,apply(Y,apply(Z,Z)))
% Current number of equations to process: 3854
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [212]
% apply(X,apply(X,apply(Y,Y))) <->
% apply(apply(w,apply(b,apply(apply(w,b),X))),Y)
% Current number of equations to process: 1219
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced :
% [213]
% apply(apply(w,apply(b,apply(apply(w,b),X))),Y) <->
% apply(X,apply(X,apply(Y,Y)))
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [214]
% apply(apply(X,X),apply(Y,Y)) <->
% apply(apply(w,apply(apply(w,apply(b,b)),X)),Y)
% Current number of equations to process: 1552
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [215]
% apply(apply(w,apply(apply(w,apply(b,b)),X)),Y) <->
% apply(apply(X,X),apply(Y,Y))
% Current number of equations to process: 1552
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [216]
% apply(apply(apply(w,apply(q,X)),Y),apply(X,Y)) ->
% apply(apply(w,Y),apply(X,Y))
% Current number of equations to process: 1822
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [217]
% apply(X,apply(Y,apply(Z,X))) <->
% apply(apply(w,apply(q,apply(apply(b,Y),Z))),X)
% Current number of equations to process: 2016
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [218]
% apply(apply(w,apply(q,apply(apply(b,Y),Z))),X) <->
% apply(X,apply(Y,apply(Z,X)))
% Current number of equations to process: 2016
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [219]
% apply(X,apply(Y,apply(Z,X))) <->
% apply(apply(w,apply(q,apply(apply(q,Z),Y))),X)
% Current number of equations to process: 2474
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [220]
% apply(apply(w,apply(q,apply(apply(q,Z),Y))),X) <->
% apply(X,apply(Y,apply(Z,X)))
% Current number of equations to process: 2474
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [221]
% apply(X,apply(Y,apply(Y,X))) <->
% apply(apply(w,apply(q,apply(apply(w,b),Y))),X)
% Current number of equations to process: 2966
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [222]
% apply(apply(w,apply(q,apply(apply(w,b),Y))),X) <->
% apply(X,apply(Y,apply(Y,X)))
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [223]
% apply(X,apply(Y,apply(X,X))) <->
% apply(apply(w,apply(q,apply(w,apply(b,Y)))),X)
% Current number of equations to process: 3324
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [224]
% apply(apply(w,apply(q,apply(w,apply(b,Y)))),X) <->
% apply(X,apply(Y,apply(X,X)))
% Current number of equations to process: 3324
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [225]
% apply(X,apply(X,apply(Y,Y))) <->
% apply(apply(w,apply(b,apply(apply(w,q),X))),Y)
% Current number of equations to process: 3585
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [226]
% apply(apply(w,apply(b,apply(apply(w,q),X))),Y) <->
% apply(X,apply(X,apply(Y,Y)))
% Current number of equations to process: 3585
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [227]
% apply(X,apply(Y,apply(Y,X))) <->
% apply(apply(w,apply(q,apply(apply(w,q),Y))),X)
% Current number of equations to process: 3965
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [228]
% apply(apply(w,apply(q,apply(apply(w,q),Y))),X) <->
% apply(X,apply(Y,apply(Y,X)))
% Current number of equations to process: 3965
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [229]
% apply(Y,apply(apply(X,X),Y)) <->
% apply(apply(w,apply(apply(w,apply(b,q)),X)),Y)
% Current number of equations to process: 4352
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [230]
% apply(apply(w,apply(apply(w,apply(b,q)),X)),Y) <->
% apply(Y,apply(apply(X,X),Y))
% Current number of equations to process: 4352
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [231]
% apply(X,apply(X,apply(Y,X))) <->
% apply(apply(w,apply(q,apply(w,apply(q,Y)))),X)
% Current number of equations to process: 4725
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [232]
% apply(apply(w,apply(q,apply(w,apply(q,Y)))),X) <->
% apply(X,apply(X,apply(Y,X)))
% Current number of equations to process: 4725
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [233]
% apply(apply(apply(w,apply(w,q)),X),apply(X,X)) ->
% apply(apply(w,X),apply(X,X))
% Current number of equations to process: 2259
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [234]
% apply(b,apply(b,apply(X,X))) <->
% apply(apply(w,apply(b,apply(apply(w,w),b))),X)
% Current number of equations to process: 2361
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [235]
% apply(apply(w,apply(b,apply(apply(w,w),b))),X) <->
% apply(b,apply(b,apply(X,X)))
% Current number of equations to process: 2361
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [236]
% apply(X,apply(b,apply(b,X))) <->
% apply(apply(w,apply(q,apply(apply(w,w),b))),X)
% Current number of equations to process: 2496
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [237]
% apply(apply(w,apply(q,apply(apply(w,w),b))),X) <->
% apply(X,apply(b,apply(b,X)))
% Current number of equations to process: 2496
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [238]
% apply(X,apply(X,apply(X,X))) <->
% apply(apply(w,apply(q,apply(w,apply(w,b)))),X)
% Current number of equations to process: 2686
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [239]
% apply(apply(w,apply(q,apply(w,apply(w,b)))),X) <->
% apply(X,apply(X,apply(X,X)))
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [240]
% apply(q,apply(q,apply(X,X))) <->
% apply(apply(w,apply(b,apply(apply(w,w),q))),X)
% Current number of equations to process: 2848
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [241]
% apply(apply(w,apply(b,apply(apply(w,w),q))),X) <->
% apply(q,apply(q,apply(X,X)))
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [242]
% apply(X,apply(q,apply(q,X))) <->
% apply(apply(w,apply(q,apply(apply(w,w),q))),X)
% Current number of equations to process: 2985
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [243]
% apply(apply(w,apply(q,apply(apply(w,w),q))),X) <->
% apply(X,apply(q,apply(q,X)))
% Current number of equations to process: 2985
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [244]
% apply(X,apply(X,apply(X,X))) <->
% apply(apply(w,apply(q,apply(w,apply(w,q)))),X)
% Current number of equations to process: 3181
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [245]
% apply(apply(w,apply(q,apply(w,apply(w,q)))),X) <->
% apply(X,apply(X,apply(X,X)))
% Current number of equations to process: 3181
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [246]
% apply(apply(b,X),apply(X,X)) <->
% apply(apply(w,apply(w,apply(apply(w,w),b))),X)
% Current number of equations to process: 3319
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced :
% [247]
% apply(apply(w,apply(w,apply(apply(w,w),b))),X) <->
% apply(apply(b,X),apply(X,X))
% Current number of equations to process: 3319
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [248]
% apply(X,apply(apply(q,X),X)) <->
% apply(apply(w,apply(w,apply(apply(w,w),q))),X)
% Current number of equations to process: 3545
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [249]
% apply(apply(w,apply(w,apply(apply(w,w),q))),X) <->
% apply(X,apply(apply(q,X),X))
% Current number of equations to process: 3545
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [250]
% apply(apply(w,apply(w,apply(w,apply(w,w)))),b) ->
% apply(apply(b,b),apply(b,b))
% Current number of equations to process: 3650
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [251]
% apply(apply(w,apply(w,apply(w,apply(w,w)))),q) ->
% apply(q,apply(apply(w,w),q))
% Current number of equations to process: 3661
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [252]
% apply(X,apply(apply(Y,Z),Z)) <->
% apply(apply(w,apply(apply(b,apply(b,X)),Y)),Z)
% Current number of equations to process: 3671
% Current number of ordered equations: 3
% Current number of rules: 196
% New rule produced :
% [253]
% apply(apply(X,Y),apply(Y,Z)) <->
% apply(apply(apply(w,apply(apply(b,b),X)),Y),Z)
% Current number of equations to process: 3671
% Current number of ordered equations: 2
% Current number of rules: 197
% New rule produced :
% [254]
% apply(apply(apply(w,apply(apply(b,b),X)),Y),Z) <->
% apply(apply(X,Y),apply(Y,Z))
% Current number of equations to process: 3671
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [255]
% apply(apply(w,apply(apply(b,apply(b,X)),Y)),Z) <->
% apply(X,apply(apply(Y,Z),Z))
% Current number of equations to process: 3671
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [256]
% apply(Y,apply(apply(X,Y),Z)) <->
% apply(apply(apply(w,apply(apply(b,q),X)),Y),Z)
% Current number of equations to process: 4865
% Current number of ordered equations: 3
% Current number of rules: 200
% New rule produced :
% [257]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(w,apply(apply(b,apply(q,Z)),X)),Y)
% Current number of equations to process: 4865
% Current number of ordered equations: 2
% Current number of rules: 201
% New rule produced :
% [258]
% apply(apply(apply(w,apply(apply(b,q),X)),Y),Z) <->
% apply(Y,apply(apply(X,Y),Z))
% Current number of equations to process: 4865
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [259]
% apply(apply(w,apply(apply(b,apply(q,Z)),X)),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 4865
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [260]
% apply(apply(X,apply(X,X)),X) <->
% apply(apply(w,apply(w,apply(apply(b,w),b))),X)
% Current number of equations to process: 3164
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [261]
% apply(apply(w,apply(w,apply(apply(b,w),b))),X) <->
% apply(apply(X,apply(X,X)),X)
% Current number of equations to process: 3164
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [262]
% apply(apply(X,apply(X,X)),X) <->
% apply(apply(w,apply(w,apply(apply(b,w),q))),X)
% Current number of equations to process: 3315
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [263]
% apply(apply(w,apply(w,apply(apply(b,w),q))),X) <->
% apply(apply(X,apply(X,X)),X)
% Current number of equations to process: 3315
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [264]
% apply(apply(w,apply(w,apply(apply(w,b),w))),q) ->
% apply(apply(q,apply(q,q)),q)
% Current number of equations to process: 3468
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [265]
% apply(apply(w,apply(w,apply(apply(w,b),w))),b) ->
% apply(apply(b,apply(b,b)),b)
% Current number of equations to process: 3480
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [266]
% apply(apply(w,apply(w,apply(w,apply(b,w)))),b) ->
% apply(apply(b,apply(b,b)),b)
% Current number of equations to process: 3492
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [267]
% apply(apply(w,apply(w,apply(w,apply(b,w)))),q) ->
% apply(apply(q,apply(q,q)),q)
% Current number of equations to process: 3504
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [268]
% apply(X,apply(apply(Y,Z),Z)) <->
% apply(apply(w,apply(apply(q,Y),apply(b,X))),Z)
% Current number of equations to process: 3515
% Current number of ordered equations: 3
% Current number of rules: 212
% New rule produced :
% [269]
% apply(apply(X,Y),apply(Y,Z)) <->
% apply(apply(apply(w,apply(apply(q,X),b)),Y),Z)
% Current number of equations to process: 3515
% Current number of ordered equations: 2
% Current number of rules: 213
% New rule produced :
% [270]
% apply(apply(w,apply(apply(q,Y),apply(b,X))),Z) <->
% apply(X,apply(apply(Y,Z),Z))
% Current number of equations to process: 3515
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [271]
% apply(apply(apply(w,apply(apply(q,X),b)),Y),Z) <->
% apply(apply(X,Y),apply(Y,Z))
% Current number of equations to process: 3515
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [272]
% apply(Y,apply(apply(X,Y),Z)) <->
% apply(apply(apply(w,apply(apply(q,X),q)),Y),Z)
% Current number of equations to process: 4774
% Current number of ordered equations: 3
% Current number of rules: 216
% New rule produced :
% [273]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(w,apply(apply(q,X),apply(q,Z))),Y)
% Current number of equations to process: 4774
% Current number of ordered equations: 2
% Current number of rules: 217
% New rule produced :
% [274]
% apply(apply(w,apply(apply(q,X),apply(q,Z))),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 4774
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [275]
% apply(apply(apply(w,apply(apply(q,X),q)),Y),Z) <->
% apply(Y,apply(apply(X,Y),Z))
% Current number of equations to process: 4774
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [276]
% apply(apply(X,Y),apply(X,Y)) <->
% apply(apply(apply(w,apply(b,w)),apply(q,X)),Y)
% Current number of equations to process: 3029
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [277]
% apply(apply(apply(w,apply(b,w)),apply(q,X)),Y) <->
% apply(apply(X,Y),apply(X,Y))
% Current number of equations to process: 3029
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [278]
% apply(apply(X,apply(X,X)),X) <->
% apply(apply(w,apply(w,apply(apply(q,b),w))),X)
% Current number of equations to process: 3671
% Current number of ordered equations: 1
% Current number of rules: 222
% New rule produced :
% [279]
% apply(apply(w,apply(w,apply(apply(q,b),w))),X) <->
% apply(apply(X,apply(X,X)),X)
% Current number of equations to process: 3671
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [280]
% apply(apply(X,apply(X,X)),X) <->
% apply(apply(w,apply(w,apply(apply(q,q),w))),X)
% Current number of equations to process: 3837
% Current number of ordered equations: 1
% Current number of rules: 224
% New rule produced :
% [281]
% apply(apply(w,apply(w,apply(apply(q,q),w))),X) <->
% apply(apply(X,apply(X,X)),X)
% Current number of equations to process: 3837
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [282]
% apply(apply(w,apply(w,apply(apply(w,q),w))),q) ->
% apply(apply(q,apply(q,q)),q)
% Current number of equations to process: 4010
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [283]
% apply(apply(w,apply(w,apply(apply(w,q),w))),b) ->
% apply(apply(b,apply(b,b)),b)
% Current number of equations to process: 4024
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [284]
% apply(apply(w,apply(w,apply(w,apply(q,b)))),w) ->
% apply(apply(w,apply(w,w)),w)
% Current number of equations to process: 4038
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [285]
% apply(apply(w,apply(w,apply(w,apply(q,q)))),w) ->
% apply(apply(w,apply(w,w)),w)
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [286]
% apply(apply(q,X),apply(apply(w,apply(q,q)),X)) ->
% apply(apply(w,w),apply(q,X))
% Current number of equations to process: 4066
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [287]
% apply(X,apply(X,apply(Y,Y))) <->
% apply(apply(w,apply(apply(w,q),apply(b,X))),Y)
% Current number of equations to process: 4143
% Current number of ordered equations: 3
% Current number of rules: 231
% New rule produced :
% [288]
% apply(apply(b,X),apply(X,Y)) <->
% apply(apply(apply(w,apply(apply(w,w),b)),X),Y)
% Current number of equations to process: 4143
% Current number of ordered equations: 2
% Current number of rules: 232
% New rule produced :
% [289]
% apply(apply(w,apply(apply(w,q),apply(b,X))),Y) <->
% apply(X,apply(X,apply(Y,Y)))
% Current number of equations to process: 4143
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [290]
% apply(apply(apply(w,apply(apply(w,w),b)),X),Y) <->
% apply(apply(b,X),apply(X,Y))
% Current number of equations to process: 4143
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [291]
% apply(X,apply(apply(q,X),Y)) <->
% apply(apply(apply(w,apply(apply(w,w),q)),X),Y)
% Current number of equations to process: 1311
% Current number of ordered equations: 3
% Current number of rules: 235
% New rule produced :
% [292]
% apply(X,apply(Y,apply(Y,X))) <->
% apply(apply(w,apply(apply(w,q),apply(q,Y))),X)
% Current number of equations to process: 1311
% Current number of ordered equations: 2
% Current number of rules: 236
% New rule produced :
% [293]
% apply(apply(w,apply(apply(w,q),apply(q,Y))),X) <->
% apply(X,apply(Y,apply(Y,X)))
% Current number of equations to process: 1311
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [294]
% apply(apply(apply(w,apply(apply(w,w),q)),X),Y) <->
% apply(X,apply(apply(q,X),Y))
% Current number of equations to process: 1311
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [295]
% apply(apply(w,apply(w,apply(b,apply(b,X)))),Y) <->
% apply(X,apply(apply(Y,Y),Y))
% Current number of equations to process: 2245
% Current number of ordered equations: 3
% Current number of rules: 239
% New rule produced :
% [296]
% apply(apply(apply(w,apply(w,apply(b,b))),X),Y) <->
% apply(apply(X,X),apply(X,Y))
% Current number of equations to process: 2245
% Current number of ordered equations: 2
% Current number of rules: 240
% New rule produced :
% [297]
% apply(X,apply(apply(Y,Y),Y)) <->
% apply(apply(w,apply(w,apply(b,apply(b,X)))),Y)
% Current number of equations to process: 2245
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [298]
% apply(apply(X,X),apply(X,Y)) <->
% apply(apply(apply(w,apply(w,apply(b,b))),X),Y)
% Current number of equations to process: 2245
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [299]
% apply(apply(apply(w,apply(w,apply(b,q))),X),Y) <->
% apply(X,apply(apply(X,X),Y))
% Current number of equations to process: 3287
% Current number of ordered equations: 3
% Current number of rules: 243
% New rule produced :
% [300]
% apply(apply(w,apply(w,apply(b,apply(q,Y)))),X) <->
% apply(apply(X,X),apply(Y,X))
% Current number of equations to process: 3287
% Current number of ordered equations: 2
% Current number of rules: 244
% New rule produced :
% [301]
% apply(X,apply(apply(X,X),Y)) <->
% apply(apply(apply(w,apply(w,apply(b,q))),X),Y)
% Current number of equations to process: 3287
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [302]
% apply(apply(X,X),apply(Y,X)) <->
% apply(apply(w,apply(w,apply(b,apply(q,Y)))),X)
% Current number of equations to process: 3287
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [303]
% apply(X,apply(apply(w,X),X)) <->
% apply(apply(w,apply(w,apply(apply(b,q),X))),X)
% Current number of equations to process: 4265
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [304]
% apply(apply(w,apply(w,apply(apply(b,q),X))),X) <->
% apply(X,apply(apply(w,X),X))
% Current number of equations to process: 4265
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [305]
% apply(apply(w,apply(apply(w,w),apply(b,w))),b) ->
% apply(apply(b,apply(b,b)),b)
% Current number of equations to process: 4385
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [306]
% apply(apply(apply(w,apply(w,q)),apply(q,q)),q) ->
% apply(apply(w,w),apply(q,q))
% Current number of equations to process: 4377
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [307]
% apply(apply(w,apply(apply(w,w),apply(b,b))),b) ->
% apply(apply(w,w),apply(b,b))
% Current number of equations to process: 4388
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [308]
% apply(apply(w,apply(apply(b,apply(b,X)),Y)),Y) ->
% apply(X,apply(apply(w,Y),Y))
% Current number of equations to process: 4404
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [309]
% apply(apply(w,apply(apply(q,X),apply(b,X))),X) ->
% apply(X,apply(apply(w,w),X))
% Current number of equations to process: 4505
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [310]
% apply(apply(apply(apply(w,apply(b,q)),Y),X),Y) ->
% apply(X,apply(apply(w,Y),Y))
% Current number of equations to process: 4585
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [311]
% apply(apply(X,X),apply(X,X)) <->
% apply(apply(w,apply(w,apply(w,apply(b,b)))),X)
% Current number of equations to process: 4699
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced :
% [312]
% apply(apply(w,apply(w,apply(w,apply(b,b)))),X) <->
% apply(apply(X,X),apply(X,X))
% Current number of equations to process: 4699
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [313]
% apply(apply(X,X),apply(X,X)) <->
% apply(apply(w,apply(w,apply(apply(b,b),X))),X)
% Current number of equations to process: 1426
% Current number of ordered equations: 1
% Current number of rules: 257
% New rule produced :
% [314]
% apply(apply(w,apply(w,apply(apply(b,b),X))),X) <->
% apply(apply(X,X),apply(X,X))
% Current number of equations to process: 1426
% Current number of ordered equations: 0
% Current number of rules: 258
% Rule [303]
% apply(X,apply(apply(w,X),X)) <->
% apply(apply(w,apply(w,apply(apply(b,q),X))),X) is composed into
% [303] apply(X,apply(apply(w,X),X)) <-> apply(X,apply(apply(w,w),X))
% New rule produced :
% [315]
% apply(apply(w,apply(w,apply(apply(b,q),X))),X) ->
% apply(X,apply(apply(w,w),X))
% Rule
% [304]
% apply(apply(w,apply(w,apply(apply(b,q),X))),X) <->
% apply(X,apply(apply(w,X),X)) collapsed.
% Current number of equations to process: 1775
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [316]
% apply(apply(w,apply(w,apply(w,apply(b,q)))),X) <->
% apply(X,apply(apply(X,X),X))
% Current number of equations to process: 1841
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced :
% [317]
% apply(X,apply(apply(X,X),X)) <->
% apply(apply(w,apply(w,apply(w,apply(b,q)))),X)
% Current number of equations to process: 1841
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [318]
% apply(X,apply(apply(w,q),X)) <->
% apply(apply(w,apply(w,apply(apply(w,w),q))),X)
% Current number of equations to process: 1987
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [319]
% apply(apply(w,apply(w,apply(apply(w,w),q))),X) <->
% apply(X,apply(apply(w,q),X))
% Current number of equations to process: 1987
% Current number of ordered equations: 0
% Current number of rules: 262
% Rule [252]
% apply(X,apply(apply(Y,Z),Z)) <->
% apply(apply(w,apply(apply(b,apply(b,X)),Y)),Z) is composed into
% [252] apply(X,apply(apply(Y,Z),Z)) <-> apply(X,apply(apply(w,Y),Z))
% New rule produced :
% [320]
% apply(apply(w,apply(apply(b,apply(b,X)),Y)),Z) ->
% apply(X,apply(apply(w,Y),Z))
% Rule
% [255]
% apply(apply(w,apply(apply(b,apply(b,X)),Y)),Z) <->
% apply(X,apply(apply(Y,Z),Z)) collapsed.
% Rule
% [308]
% apply(apply(w,apply(apply(b,apply(b,X)),Y)),Y) ->
% apply(X,apply(apply(w,Y),Y)) collapsed.
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [321]
% apply(X,apply(apply(Y,Y),Y)) <->
% apply(apply(w,apply(apply(q,w),apply(b,X))),Y)
% Current number of equations to process: 2447
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced :
% [322]
% apply(apply(w,apply(apply(q,w),apply(b,X))),Y) <->
% apply(X,apply(apply(Y,Y),Y))
% Current number of equations to process: 2447
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [323]
% apply(apply(X,Y),apply(Y,Y)) <->
% apply(apply(w,apply(w,apply(apply(b,b),X))),Y)
% Rule
% [313]
% apply(apply(X,X),apply(X,X)) <->
% apply(apply(w,apply(w,apply(apply(b,b),X))),X) collapsed.
% Current number of equations to process: 2959
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [324]
% apply(apply(w,apply(w,apply(apply(b,b),X))),Y) <->
% apply(apply(X,Y),apply(Y,Y))
% Rule
% [314]
% apply(apply(w,apply(w,apply(apply(b,b),X))),X) <->
% apply(apply(X,X),apply(X,X)) collapsed.
% Current number of equations to process: 2959
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [325]
% apply(X,apply(apply(X,Y),Y)) <->
% apply(apply(apply(w,apply(apply(q,w),q)),X),Y)
% Current number of equations to process: 3629
% Current number of ordered equations: 1
% Current number of rules: 264
% New rule produced :
% [326]
% apply(apply(apply(w,apply(apply(q,w),q)),X),Y) <->
% apply(X,apply(apply(X,Y),Y))
% Current number of equations to process: 3629
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [327]
% apply(apply(apply(apply(w,X),X),Y),Y) <->
% apply(apply(w,apply(apply(w,w),X)),Y)
% Current number of equations to process: 3721
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [328]
% apply(apply(w,apply(apply(w,w),X)),Y) <->
% apply(apply(apply(apply(w,X),X),Y),Y)
% Current number of equations to process: 3721
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [329]
% apply(apply(w,apply(apply(w,w),X)),Y) <->
% apply(apply(apply(apply(X,X),X),Y),Y)
% Current number of equations to process: 4028
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [330]
% apply(apply(apply(apply(X,X),X),Y),Y) <->
% apply(apply(w,apply(apply(w,w),X)),Y)
% Current number of equations to process: 4028
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [331]
% apply(apply(apply(apply(w,X),X),Y),Y) <->
% apply(apply(w,apply(apply(X,X),X)),Y)
% Current number of equations to process: 4142
% Current number of ordered equations: 1
% Current number of rules: 270
% New rule produced :
% [332]
% apply(apply(w,apply(apply(X,X),X)),Y) <->
% apply(apply(apply(apply(w,X),X),Y),Y)
% Current number of equations to process: 4142
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [333]
% apply(apply(w,apply(apply(w,X),X)),Y) <->
% apply(apply(apply(apply(X,X),X),Y),Y)
% Current number of equations to process: 4282
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [334]
% apply(apply(apply(apply(X,X),X),Y),Y) <->
% apply(apply(w,apply(apply(w,X),X)),Y)
% Current number of equations to process: 4282
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [335]
% apply(apply(w,apply(apply(X,X),X)),Y) <->
% apply(apply(apply(apply(w,w),X),Y),Y)
% Current number of equations to process: 4523
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [336]
% apply(apply(apply(apply(w,w),X),Y),Y) <->
% apply(apply(w,apply(apply(X,X),X)),Y)
% Current number of equations to process: 4523
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [337]
% apply(apply(w,apply(apply(w,X),X)),Y) <->
% apply(apply(apply(apply(w,w),X),Y),Y)
% Current number of equations to process: 4875
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [338]
% apply(apply(apply(apply(w,w),X),Y),Y) <->
% apply(apply(w,apply(apply(w,X),X)),Y)
% Current number of equations to process: 4875
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [339]
% apply(Y,apply(apply(X,Y),Y)) <->
% apply(apply(w,apply(w,apply(apply(b,q),X))),Y)
% Current number of equations to process: 2654
% Current number of ordered equations: 1
% Current number of rules: 278
% New rule produced :
% [340]
% apply(apply(w,apply(w,apply(apply(b,q),X))),Y) <->
% apply(Y,apply(apply(X,Y),Y))
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 279
% Rule [321]
% apply(X,apply(apply(Y,Y),Y)) <->
% apply(apply(w,apply(apply(q,w),apply(b,X))),Y) is composed into
% [321] apply(X,apply(apply(Y,Y),Y)) <-> apply(X,apply(apply(w,w),Y))
% Rule [268]
% apply(X,apply(apply(Y,Z),Z)) <->
% apply(apply(w,apply(apply(q,Y),apply(b,X))),Z) is composed into
% [268] apply(X,apply(apply(Y,Z),Z)) <-> apply(X,apply(apply(w,Y),Z))
% New rule produced :
% [341]
% apply(apply(w,apply(apply(q,Y),apply(b,X))),Z) ->
% apply(X,apply(apply(w,Y),Z))
% Rule
% [270]
% apply(apply(w,apply(apply(q,Y),apply(b,X))),Z) <->
% apply(X,apply(apply(Y,Z),Z)) collapsed.
% Rule
% [309]
% apply(apply(w,apply(apply(q,X),apply(b,X))),X) ->
% apply(X,apply(apply(w,w),X)) collapsed.
% Rule
% [322]
% apply(apply(w,apply(apply(q,w),apply(b,X))),Y) <->
% apply(X,apply(apply(Y,Y),Y)) collapsed.
% Current number of equations to process: 2968
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [342]
% apply(apply(X,Y),apply(Y,Y)) <->
% apply(apply(w,apply(w,apply(apply(q,X),b))),Y)
% Current number of equations to process: 3105
% Current number of ordered equations: 1
% Current number of rules: 278
% New rule produced :
% [343]
% apply(apply(w,apply(w,apply(apply(q,X),b))),Y) <->
% apply(apply(X,Y),apply(Y,Y))
% Current number of equations to process: 3105
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [344]
% apply(Y,apply(apply(X,Y),Y)) <->
% apply(apply(w,apply(w,apply(apply(q,X),q))),Y)
% Current number of equations to process: 3817
% Current number of ordered equations: 1
% Current number of rules: 280
% New rule produced :
% [345]
% apply(apply(w,apply(w,apply(apply(q,X),q))),Y) <->
% apply(Y,apply(apply(X,Y),Y))
% Current number of equations to process: 3817
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [346]
% apply(apply(w,apply(w,apply(b,apply(b,X)))),Y) <->
% apply(X,apply(apply(w,Y),Y))
% Current number of equations to process: 4129
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [347]
% apply(X,apply(apply(w,Y),Y)) <->
% apply(apply(w,apply(w,apply(b,apply(b,X)))),Y)
% Current number of equations to process: 4129
% Current number of ordered equations: 0
% Current number of rules: 283
% Rule [347]
% apply(X,apply(apply(w,Y),Y)) <->
% apply(apply(w,apply(w,apply(b,apply(b,X)))),Y) is composed into
% [347] apply(X,apply(apply(w,Y),Y)) <-> apply(X,apply(apply(w,w),Y))
% Rule [297]
% apply(X,apply(apply(Y,Y),Y)) <->
% apply(apply(w,apply(w,apply(b,apply(b,X)))),Y) is composed into
% [297] apply(X,apply(apply(Y,Y),Y)) <-> apply(X,apply(apply(w,w),Y))
% New rule produced :
% [348]
% apply(apply(w,apply(w,apply(b,apply(b,X)))),Y) ->
% apply(X,apply(apply(w,w),Y))
% Rule
% [295]
% apply(apply(w,apply(w,apply(b,apply(b,X)))),Y) <->
% apply(X,apply(apply(Y,Y),Y)) collapsed.
% Rule
% [346]
% apply(apply(w,apply(w,apply(b,apply(b,X)))),Y) <->
% apply(X,apply(apply(w,Y),Y)) collapsed.
% Current number of equations to process: 4678
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [349]
% apply(apply(w,apply(w,apply(w,apply(w,b)))),q) ->
% apply(q,apply(apply(w,w),q))
% Current number of equations to process: 4769
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [350]
% apply(apply(w,apply(w,apply(w,apply(b,q)))),X) <->
% apply(X,apply(apply(w,X),X))
% Current number of equations to process: 4784
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced :
% [351]
% apply(X,apply(apply(w,X),X)) <->
% apply(apply(w,apply(w,apply(w,apply(b,q)))),X)
% Current number of equations to process: 4784
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [352]
% apply(apply(w,apply(w,apply(w,apply(b,q)))),X) <->
% apply(X,apply(apply(w,w),X))
% Current number of equations to process: 4931
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced :
% [353]
% apply(X,apply(apply(w,w),X)) <->
% apply(apply(w,apply(w,apply(w,apply(b,q)))),X)
% Current number of equations to process: 4931
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [354]
% apply(X,apply(apply(X,X),X)) <->
% apply(apply(w,apply(w,apply(apply(q,w),q))),X)
% Current number of equations to process: 1592
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [355]
% apply(apply(w,apply(w,apply(apply(q,w),q))),X) <->
% apply(X,apply(apply(X,X),X))
% Current number of equations to process: 1592
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [356]
% apply(X,apply(apply(w,w),X)) <->
% apply(apply(w,apply(w,apply(apply(b,q),w))),X)
% Current number of equations to process: 1751
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced :
% [357]
% apply(apply(w,apply(w,apply(apply(b,q),w))),X) <->
% apply(X,apply(apply(w,w),X))
% Current number of equations to process: 1751
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [358]
% apply(apply(w,apply(w,apply(apply(b,q),Y))),X) <->
% apply(X,apply(apply(w,Y),X))
% Rule
% [357]
% apply(apply(w,apply(w,apply(apply(b,q),w))),X) <->
% apply(X,apply(apply(w,w),X)) collapsed.
% Current number of equations to process: 2063
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [359]
% apply(X,apply(apply(w,Y),X)) <->
% apply(apply(w,apply(w,apply(apply(b,q),Y))),X)
% Rule
% [356]
% apply(X,apply(apply(w,w),X)) <->
% apply(apply(w,apply(w,apply(apply(b,q),w))),X) collapsed.
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [360]
% apply(apply(apply(apply(w,X),w),Y),Y) <->
% apply(apply(w,apply(apply(X,w),w)),Y)
% Current number of equations to process: 2328
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced :
% [361]
% apply(apply(w,apply(apply(X,w),w)),Y) <->
% apply(apply(apply(apply(w,X),w),Y),Y)
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [362]
% apply(X,apply(apply(X,X),X)) <->
% apply(apply(w,apply(w,apply(apply(b,q),w))),X)
% Current number of equations to process: 2865
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [363]
% apply(apply(w,apply(w,apply(apply(b,q),w))),X) <->
% apply(X,apply(apply(X,X),X))
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [364]
% apply(apply(w,apply(w,apply(apply(w,b),q))),X) <->
% apply(X,apply(apply(w,q),X))
% Current number of equations to process: 3018
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced :
% [365]
% apply(X,apply(apply(w,q),X)) <->
% apply(apply(w,apply(w,apply(apply(w,b),q))),X)
% Current number of equations to process: 3018
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [366]
% apply(apply(w,apply(w,apply(apply(w,b),q))),X) <->
% apply(X,apply(apply(q,X),X))
% Current number of equations to process: 3354
% Current number of ordered equations: 1
% Current number of rules: 298
% New rule produced :
% [367]
% apply(X,apply(apply(q,X),X)) <->
% apply(apply(w,apply(w,apply(apply(w,b),q))),X)
% Current number of equations to process: 3354
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [368]
% apply(apply(b,X),apply(X,X)) <->
% apply(apply(w,apply(w,apply(apply(w,q),b))),X)
% Current number of equations to process: 3485
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [369]
% apply(apply(w,apply(w,apply(apply(w,q),b))),X) <->
% apply(apply(b,X),apply(X,X))
% Current number of equations to process: 3485
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [370]
% apply(apply(w,apply(w,apply(w,apply(q,X)))),b) ->
% apply(apply(X,b),apply(b,b))
% Current number of equations to process: 3782
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [371]
% apply(apply(w,apply(w,apply(apply(q,X),q))),X) ->
% apply(X,apply(apply(w,w),X))
% Current number of equations to process: 3812
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [372]
% apply(X,apply(apply(w,w),X)) <->
% apply(apply(w,apply(w,apply(apply(q,w),q))),X)
% Current number of equations to process: 3897
% Current number of ordered equations: 1
% Current number of rules: 304
% New rule produced :
% [373]
% apply(apply(w,apply(w,apply(apply(q,w),q))),X) <->
% apply(X,apply(apply(w,w),X))
% Current number of equations to process: 3897
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [374]
% apply(X,apply(apply(w,Y),X)) <->
% apply(apply(w,apply(w,apply(apply(q,Y),q))),X)
% Rule
% [372]
% apply(X,apply(apply(w,w),X)) <->
% apply(apply(w,apply(w,apply(apply(q,w),q))),X) collapsed.
% Current number of equations to process: 4224
% Current number of ordered equations: 1
% Current number of rules: 305
% New rule produced :
% [375]
% apply(apply(w,apply(w,apply(apply(q,Y),q))),X) <->
% apply(X,apply(apply(w,Y),X))
% Rule
% [373]
% apply(apply(w,apply(w,apply(apply(q,w),q))),X) <->
% apply(X,apply(apply(w,w),X)) collapsed.
% Current number of equations to process: 4224
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [376]
% apply(apply(w,apply(w,apply(w,apply(q,X)))),q) ->
% apply(q,apply(apply(X,q),q))
% Current number of equations to process: 4799
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [377]
% apply(apply(w,apply(w,apply(w,apply(w,q)))),b) ->
% apply(apply(b,b),apply(b,b))
% Current number of equations to process: 4813
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [378]
% apply(X,apply(Y,apply(X,apply(Y,Z)))) <->
% apply(apply(apply(w,q),apply(apply(b,X),Y)),Z)
% Current number of equations to process: 4828
% Current number of ordered equations: 1
% Current number of rules: 308
% New rule produced :
% [379]
% apply(apply(apply(w,q),apply(apply(b,X),Y)),Z) <->
% apply(X,apply(Y,apply(X,apply(Y,Z))))
% Current number of equations to process: 4828
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [380]
% apply(X,apply(Y,apply(X,apply(Y,Z)))) <->
% apply(apply(apply(w,q),apply(apply(q,Y),X)),Z)
% Current number of equations to process: 2552
% Current number of ordered equations: 1
% Current number of rules: 310
% New rule produced :
% [381]
% apply(apply(apply(w,q),apply(apply(q,Y),X)),Z) <->
% apply(X,apply(Y,apply(X,apply(Y,Z))))
% Current number of equations to process: 2552
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [382]
% apply(X,apply(apply(w,apply(b,apply(Y,Y))),Y)) ->
% apply(apply(w,apply(b,X)),apply(Y,Y))
% Current number of equations to process: 3746
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [383]
% apply(apply(X,X),apply(apply(X,X),Y)) <->
% apply(apply(apply(w,apply(b,apply(w,b))),X),Y)
% Current number of equations to process: 4119
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [384]
% apply(apply(apply(w,apply(b,apply(w,b))),X),Y) <->
% apply(apply(X,X),apply(apply(X,X),Y))
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [385]
% apply(X,apply(apply(Y,Y),apply(Y,Y))) <->
% apply(apply(w,apply(b,apply(w,apply(b,X)))),Y)
% Current number of equations to process: 4679
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [386]
% apply(apply(w,apply(b,apply(w,apply(b,X)))),Y) <->
% apply(X,apply(apply(Y,Y),apply(Y,Y)))
% Current number of equations to process: 4679
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [387]
% apply(apply(X,Y),apply(apply(w,apply(q,X)),Y)) ->
% apply(apply(w,apply(q,Y)),apply(X,Y))
% Rule
% [286]
% apply(apply(q,X),apply(apply(w,apply(q,q)),X)) ->
% apply(apply(w,w),apply(q,X)) collapsed.
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [388]
% apply(Y,apply(apply(X,apply(b,Y)),Z)) <->
% apply(apply(apply(w,apply(q,X)),apply(b,Y)),Z)
% Current number of equations to process: 1433
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [389]
% apply(apply(apply(w,apply(q,X)),apply(b,Y)),Z) <->
% apply(Y,apply(apply(X,apply(b,Y)),Z))
% Current number of equations to process: 1433
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [390]
% apply(apply(apply(w,apply(q,w)),apply(b,X)),Y) <->
% apply(X,apply(X,apply(Y,Y)))
% Current number of equations to process: 1612
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced :
% [391]
% apply(X,apply(X,apply(Y,Y))) <->
% apply(apply(apply(w,apply(q,w)),apply(b,X)),Y)
% Current number of equations to process: 1612
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [392]
% apply(apply(X,apply(q,Y)),apply(Y,Z)) <->
% apply(apply(apply(w,apply(q,X)),apply(q,Y)),Z)
% Current number of equations to process: 2958
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [393]
% apply(apply(apply(w,apply(q,X)),apply(q,Y)),Z) <->
% apply(apply(X,apply(q,Y)),apply(Y,Z))
% Current number of equations to process: 2958
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [394]
% apply(apply(X,Y),apply(apply(apply(w,q),X),Y)) ->
% apply(apply(w,apply(q,X)),apply(X,Y))
% Current number of equations to process: 3891
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [395]
% apply(apply(X,X),apply(apply(w,apply(b,Y)),X)) ->
% apply(apply(w,apply(q,Y)),apply(X,X))
% Current number of equations to process: 4319
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [396]
% apply(apply(X,X),apply(apply(X,X),Y)) <->
% apply(apply(apply(w,apply(b,apply(w,q))),X),Y)
% Current number of equations to process: 4550
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [397]
% apply(apply(apply(w,apply(b,apply(w,q))),X),Y) <->
% apply(apply(X,X),apply(apply(X,X),Y))
% Current number of equations to process: 4550
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [398]
% apply(apply(Y,Y),apply(X,apply(Y,Y))) <->
% apply(apply(w,apply(b,apply(w,apply(q,X)))),Y)
% Current number of equations to process: 2800
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [399]
% apply(apply(w,apply(b,apply(w,apply(q,X)))),Y) <->
% apply(apply(Y,Y),apply(X,apply(Y,Y)))
% Current number of equations to process: 2800
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [400]
% apply(X,apply(X,apply(apply(b,X),Y))) <->
% apply(apply(apply(w,apply(w,q)),apply(b,X)),Y)
% Current number of equations to process: 3319
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [401]
% apply(apply(apply(w,apply(w,q)),apply(b,X)),Y) <->
% apply(X,apply(X,apply(apply(b,X),Y)))
% Current number of equations to process: 3319
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [402]
% apply(apply(q,X),apply(X,apply(X,Y))) <->
% apply(apply(apply(w,apply(w,q)),apply(q,X)),Y)
% Current number of equations to process: 3838
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [403]
% apply(apply(apply(w,apply(w,q)),apply(q,X)),Y) <->
% apply(apply(q,X),apply(X,apply(X,Y)))
% Rule
% [306]
% apply(apply(apply(w,apply(w,q)),apply(q,q)),q) ->
% apply(apply(w,w),apply(q,q)) collapsed.
% Current number of equations to process: 3838
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [404]
% apply(apply(X,X),apply(apply(w,apply(w,q)),X)) ->
% apply(apply(w,apply(q,X)),apply(X,X))
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [405]
% apply(apply(apply(w,q),apply(apply(w,w),b)),X) ->
% apply(b,apply(b,apply(b,apply(b,X))))
% Current number of equations to process: 4511
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [406]
% apply(apply(apply(w,q),apply(apply(w,w),q)),X) ->
% apply(q,apply(q,apply(q,apply(q,X))))
% Current number of equations to process: 4611
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [407]
% apply(apply(apply(apply(w,apply(b,w)),X),Y),Y) <->
% apply(apply(w,apply(apply(X,X),Y)),Y)
% Current number of equations to process: 4713
% Current number of ordered equations: 1
% Current number of rules: 335
% New rule produced :
% [408]
% apply(apply(w,apply(apply(X,X),Y)),Y) <->
% apply(apply(apply(apply(w,apply(b,w)),X),Y),Y)
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [409]
% apply(apply(apply(X,apply(Y,Z)),Z),Z) <->
% apply(apply(w,apply(w,apply(apply(b,X),Y))),Z)
% Current number of equations to process: 2164
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [410]
% apply(apply(w,apply(w,apply(apply(b,X),Y))),Z) <->
% apply(apply(apply(X,apply(Y,Z)),Z),Z)
% Current number of equations to process: 2164
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [411]
% apply(apply(apply(X,apply(Y,Z)),Z),Z) <->
% apply(apply(w,apply(w,apply(apply(q,Y),X))),Z)
% Current number of equations to process: 3166
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [412]
% apply(apply(w,apply(w,apply(apply(q,Y),X))),Z) <->
% apply(apply(apply(X,apply(Y,Z)),Z),Z)
% Current number of equations to process: 3166
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [413]
% apply(apply(apply(X,apply(X,Y)),Y),Y) <->
% apply(apply(w,apply(w,apply(apply(w,b),X))),Y)
% Current number of equations to process: 4135
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [414]
% apply(apply(w,apply(w,apply(apply(w,b),X))),Y) <->
% apply(apply(apply(X,apply(X,Y)),Y),Y)
% Rule
% [264]
% apply(apply(w,apply(w,apply(apply(w,b),w))),q) ->
% apply(apply(q,apply(q,q)),q) collapsed.
% Rule
% [265]
% apply(apply(w,apply(w,apply(apply(w,b),w))),b) ->
% apply(apply(b,apply(b,b)),b) collapsed.
% Current number of equations to process: 4135
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [415]
% apply(apply(apply(X,apply(Y,Y)),Y),Y) <->
% apply(apply(w,apply(w,apply(w,apply(b,X)))),Y)
% Current number of equations to process: 4610
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [416]
% apply(apply(w,apply(w,apply(w,apply(b,X)))),Y) <->
% apply(apply(apply(X,apply(Y,Y)),Y),Y)
% Rule
% [266]
% apply(apply(w,apply(w,apply(w,apply(b,w)))),b) ->
% apply(apply(b,apply(b,b)),b) collapsed.
% Rule
% [267]
% apply(apply(w,apply(w,apply(w,apply(b,w)))),q) ->
% apply(apply(q,apply(q,q)),q) collapsed.
% Current number of equations to process: 4610
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [417]
% apply(apply(apply(X,apply(X,Y)),Y),Y) <->
% apply(apply(w,apply(w,apply(apply(w,q),X))),Y)
% Current number of equations to process: 1620
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [418]
% apply(apply(w,apply(w,apply(apply(w,q),X))),Y) <->
% apply(apply(apply(X,apply(X,Y)),Y),Y)
% Rule
% [282]
% apply(apply(w,apply(w,apply(apply(w,q),w))),q) ->
% apply(apply(q,apply(q,q)),q) collapsed.
% Rule
% [283]
% apply(apply(w,apply(w,apply(apply(w,q),w))),b) ->
% apply(apply(b,apply(b,b)),b) collapsed.
% Current number of equations to process: 1620
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [419]
% apply(apply(apply(X,apply(Y,X)),X),X) <->
% apply(apply(w,apply(w,apply(w,apply(q,Y)))),X)
% Current number of equations to process: 2046
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [420]
% apply(apply(w,apply(w,apply(w,apply(q,Y)))),X) <->
% apply(apply(apply(X,apply(Y,X)),X),X)
% Rule
% [284]
% apply(apply(w,apply(w,apply(w,apply(q,b)))),w) ->
% apply(apply(w,apply(w,w)),w) collapsed.
% Rule
% [285]
% apply(apply(w,apply(w,apply(w,apply(q,q)))),w) ->
% apply(apply(w,apply(w,w)),w) collapsed.
% Rule
% [370]
% apply(apply(w,apply(w,apply(w,apply(q,X)))),b) ->
% apply(apply(X,b),apply(b,b)) collapsed.
% Rule
% [376]
% apply(apply(w,apply(w,apply(w,apply(q,X)))),q) ->
% apply(q,apply(apply(X,q),q)) collapsed.
% Current number of equations to process: 2046
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [421]
% apply(apply(apply(X,apply(X,X)),X),X) <->
% apply(apply(w,apply(w,apply(w,apply(w,b)))),X)
% Current number of equations to process: 2557
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [422]
% apply(apply(w,apply(w,apply(w,apply(w,b)))),X) <->
% apply(apply(apply(X,apply(X,X)),X),X)
% Rule
% [349]
% apply(apply(w,apply(w,apply(w,apply(w,b)))),q) ->
% apply(q,apply(apply(w,w),q)) collapsed.
% Current number of equations to process: 2557
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [423]
% apply(apply(apply(X,apply(X,X)),X),X) <->
% apply(apply(w,apply(w,apply(w,apply(w,q)))),X)
% Current number of equations to process: 2789
% Current number of ordered equations: 1
% Current number of rules: 340
% New rule produced :
% [424]
% apply(apply(w,apply(w,apply(w,apply(w,q)))),X) <->
% apply(apply(apply(X,apply(X,X)),X),X)
% Rule
% [377]
% apply(apply(w,apply(w,apply(w,apply(w,q)))),b) ->
% apply(apply(b,b),apply(b,b)) collapsed.
% Current number of equations to process: 2789
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [425]
% apply(apply(apply(apply(X,X),Y),Y),Y) <->
% apply(apply(w,apply(apply(w,apply(b,w)),X)),Y)
% Current number of equations to procCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------