TSTP Solution File: COL044-7 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : COL044-7 : TPTP v6.0.0. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n166.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:19:52 EDT 2014
% Result : Timeout 300.08s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : COL044-7 : TPTP v6.0.0. Released v2.1.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n166.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 20:48:38 CDT 2014
% % CPUTime : 300.08
% Processing problem /tmp/CiME_15095_n166.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " fixed_pt,strong_fixed_point,n,b : constant; apply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z));
% apply(apply(apply(n,X),Y),Z) = apply(apply(apply(X,Z),Y),Z);
% strong_fixed_point = apply(apply(b,apply(apply(b,apply(apply(n,apply(apply(b,b),apply(apply(n,apply(n,apply(b,b))),n))),n)),b)),b);
% ";
%
% let s1 = status F "
% fixed_pt lr_lex;
% strong_fixed_point lr_lex;
% n lr_lex;
% apply lr_lex;
% b lr_lex;
% ";
%
% let p1 = precedence F "
% apply > b > n > strong_fixed_point > fixed_pt";
%
% let s2 = status F "
% fixed_pt mul;
% strong_fixed_point mul;
% n mul;
% apply mul;
% b mul;
% ";
%
% let p2 = precedence F "
% apply > b = n = strong_fixed_point = fixed_pt";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " apply(strong_fixed_point,fixed_pt) = apply(fixed_pt,apply(strong_fixed_point,fixed_pt));"
% ;
% (*
% 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(n,X),Y),Z) =
% apply(apply(apply(X,Z),Y),Z),
% strong_fixed_point =
% apply(apply(b,apply(apply(b,apply(apply(n,
% apply(
% apply(b,b),
% apply(
% apply(n,
% apply(n,
% apply(b,b))),n))),n)),b)),b) }
% (3 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
%
% [fixed_pt] = 1;
% [strong_fixed_point] = 2;
% [n] = 3;
% [b] = 4;
% [apply](x1,x2) = 1 + x1 + x2;
% Chosen ordering : RPO
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { apply(strong_fixed_point,fixed_pt) =
% apply(fixed_pt,apply(strong_fixed_point,fixed_pt)) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] apply(X,apply(Y,Z)) <-> apply(apply(apply(b,X),Y),Z)
% The conjecture has been reduced.
% Conjecture is now:
% apply(strong_fixed_point,fixed_pt) = apply(apply(apply(b,fixed_pt),strong_fixed_point),fixed_pt)
%
% Current number of equations to process: 2
% Current number of ordered equations: 3
% Current number of rules: 1
% New rule produced : [2] apply(apply(apply(b,X),Y),Z) <-> apply(X,apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 2
% New rule produced :
% [3] apply(apply(apply(X,Z),Y),Z) <-> apply(apply(apply(n,X),Y),Z)
% Current number of equations to process: 5
% Current number of ordered equations: 3
% Current number of rules: 3
% New rule produced :
% [4] apply(apply(apply(n,X),Y),Z) <-> apply(apply(apply(X,Z),Y),Z)
% Current number of equations to process: 5
% Current number of ordered equations: 2
% Current number of rules: 4
% New rule produced :
% [5]
% strong_fixed_point <->
% apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(b,b),b),b),
% apply(b,b)),b),n))),
% apply(apply(apply(apply(apply(apply(b,b),b),b),
% apply(b,b)),b),b)),apply(
% apply(b,n),n)),
% apply(b,b)),n),n),b),b)
% Current number of equations to process: 0
% Current number of ordered equations: 39
% Current number of rules: 5
% New rule produced :
% [6]
% apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(b,b),b),b),
% apply(b,b)),b),n))),
% apply(apply(apply(apply(apply(apply(b,b),b),b),
% apply(b,b)),b),b)),apply(
% apply(b,n),n)),
% apply(b,b)),n),n),b),b) <-> strong_fixed_point
% Current number of equations to process: 0
% Current number of ordered equations: 38
% Current number of rules: 6
% New rule produced :
% [7] apply(apply(apply(Y,Y),X),Y) <-> apply(apply(apply(n,n),X),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 37
% Current number of rules: 7
% New rule produced :
% [8] apply(apply(apply(n,n),X),Y) <-> apply(apply(apply(Y,Y),X),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 36
% Current number of rules: 8
% New rule produced :
% [9] apply(apply(X,apply(Y,Z)),Y) <-> apply(apply(apply(n,apply(b,X)),Z),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 35
% Current number of rules: 9
% New rule produced :
% [10] apply(apply(apply(n,apply(b,X)),Z),Y) <-> apply(apply(X,apply(Y,Z)),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 34
% Current number of rules: 10
% New rule produced :
% [11]
% apply(X,apply(apply(apply(b,Y),Z),V_3)) <->
% apply(apply(apply(b,X),Y),apply(Z,V_3))
% Current number of equations to process: 0
% Current number of ordered equations: 33
% Current number of rules: 11
% New rule produced :
% [12]
% apply(apply(apply(b,X),Y),apply(Z,V_3)) <->
% apply(X,apply(apply(apply(b,Y),Z),V_3))
% Current number of equations to process: 0
% Current number of ordered equations: 32
% Current number of rules: 12
% New rule produced :
% [13]
% apply(apply(apply(apply(n,X),Y),Z),Y) <->
% apply(apply(apply(n,apply(X,Z)),Z),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 31
% Current number of rules: 13
% New rule produced :
% [14]
% apply(apply(apply(n,apply(X,Z)),Z),Y) <->
% apply(apply(apply(apply(n,X),Y),Z),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 30
% Current number of rules: 14
% New rule produced :
% [15]
% apply(X,apply(Y,apply(Z,V_3))) <->
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3)
% Current number of equations to process: 0
% Current number of ordered equations: 29
% Current number of rules: 15
% New rule produced :
% [16]
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3) <->
% apply(X,apply(Y,apply(Z,V_3)))
% Current number of equations to process: 0
% Current number of ordered equations: 28
% Current number of rules: 16
% New rule produced :
% [17]
% apply(apply(X,Y),apply(Z,V_3)) <->
% apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3)
% Current number of equations to process: 6
% Current number of ordered equations: 21
% Current number of rules: 17
% New rule produced :
% [18]
% apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3) <->
% apply(apply(X,Y),apply(Z,V_3))
% Current number of equations to process: 6
% Current number of ordered equations: 20
% Current number of rules: 18
% New rule produced :
% [19]
% apply(X,apply(apply(apply(n,Y),Z),V_3)) <->
% apply(apply(apply(b,X),apply(apply(Y,V_3),Z)),V_3)
% Current number of equations to process: 6
% Current number of ordered equations: 19
% Current number of rules: 19
% New rule produced :
% [20]
% apply(apply(apply(b,X),apply(apply(Y,V_3),Z)),V_3) <->
% apply(X,apply(apply(apply(n,Y),Z),V_3))
% Current number of equations to process: 6
% Current number of ordered equations: 18
% Current number of rules: 20
% New rule produced :
% [21]
% apply(apply(apply(X,apply(Y,Z)),V_3),Z) <->
% apply(apply(apply(n,apply(apply(b,X),Y)),V_3),Z)
% Current number of equations to process: 6
% Current number of ordered equations: 17
% Current number of rules: 21
% New rule produced :
% [22]
% apply(apply(apply(n,apply(apply(b,X),Y)),V_3),Z) <->
% apply(apply(apply(X,apply(Y,Z)),V_3),Z)
% Current number of equations to process: 6
% Current number of ordered equations: 16
% Current number of rules: 22
% New rule produced :
% [23]
% apply(X,apply(apply(apply(Y,Z),V_3),Z)) <->
% apply(apply(apply(b,X),apply(apply(n,Y),V_3)),Z)
% Current number of equations to process: 6
% Current number of ordered equations: 15
% Current number of rules: 23
% New rule produced :
% [24]
% apply(apply(apply(b,X),apply(apply(n,Y),V_3)),Z) <->
% apply(X,apply(apply(apply(Y,Z),V_3),Z))
% Current number of equations to process: 6
% Current number of ordered equations: 14
% Current number of rules: 24
% New rule produced :
% [25]
% apply(apply(apply(apply(X,Y),V_3),Z),V_3) <->
% apply(apply(apply(apply(apply(b,n),X),Y),Z),V_3)
% Current number of equations to process: 6
% Current number of ordered equations: 13
% Current number of rules: 25
% New rule produced :
% [26]
% apply(apply(apply(apply(apply(b,n),X),Y),Z),V_3) <->
% apply(apply(apply(apply(X,Y),V_3),Z),V_3)
% Current number of equations to process: 6
% Current number of ordered equations: 12
% Current number of rules: 26
% New rule produced :
% [27]
% apply(apply(apply(apply(X,Y),Z),Y),Z) <->
% apply(apply(apply(apply(apply(b,n),n),X),Y),Z)
% Current number of equations to process: 6
% Current number of ordered equations: 11
% Current number of rules: 27
% New rule produced :
% [28]
% apply(apply(apply(apply(apply(b,n),n),X),Y),Z) <->
% apply(apply(apply(apply(X,Y),Z),Y),Z)
% Current number of equations to process: 6
% Current number of ordered equations: 10
% Current number of rules: 28
% New rule produced :
% [29]
% apply(X,apply(Y,apply(Z,V_3))) <->
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),b),X),Y),Z),V_3)
% Current number of equations to process: 4
% Current number of ordered equations: 11
% Current number of rules: 29
% New rule produced :
% [30]
% apply(X,apply(apply(Y,Z),V_3)) <->
% apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3)
% Current number of equations to process: 4
% Current number of ordered equations: 10
% Current number of rules: 30
% New rule produced :
% [31]
% apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3) <->
% apply(X,apply(apply(Y,Z),V_3))
% Current number of equations to process: 4
% Current number of ordered equations: 9
% Current number of rules: 31
% New rule produced :
% [32]
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),b),X),Y),Z),V_3)
% <-> apply(X,apply(Y,apply(Z,V_3)))
% Current number of equations to process: 4
% Current number of ordered equations: 8
% Current number of rules: 32
% New rule produced :
% [33]
% apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Y) <->
% apply(apply(apply(n,X),apply(Z,V_3)),Y)
% Current number of equations to process: 4
% Current number of ordered equations: 7
% Current number of rules: 33
% New rule produced :
% [34]
% apply(apply(apply(n,X),V_3),apply(Y,Z)) <->
% apply(apply(apply(apply(apply(b,X),Y),Z),V_3),apply(Y,Z))
% Current number of equations to process: 4
% Current number of ordered equations: 6
% Current number of rules: 34
% New rule produced :
% [35]
% apply(apply(apply(apply(apply(b,X),Y),Z),V_3),apply(Y,Z)) <->
% apply(apply(apply(n,X),V_3),apply(Y,Z))
% Current number of equations to process: 4
% Current number of ordered equations: 5
% Current number of rules: 35
% New rule produced :
% [36]
% apply(apply(apply(n,X),apply(Z,V_3)),Y) <->
% apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),Y)
% Current number of equations to process: 4
% Current number of ordered equations: 4
% Current number of rules: 36
% New rule produced :
% [37]
% apply(apply(apply(X,V_3),apply(Y,Z)),V_3) <->
% apply(apply(apply(apply(apply(apply(b,b),n),X),Y),Z),V_3)
% Current number of equations to process: 4
% Current number of ordered equations: 3
% Current number of rules: 37
% New rule produced :
% [38]
% apply(apply(apply(apply(apply(apply(b,b),n),X),Y),Z),V_3) <->
% apply(apply(apply(X,V_3),apply(Y,Z)),V_3)
% Current number of equations to process: 4
% Current number of ordered equations: 2
% Current number of rules: 38
% New rule produced :
% [39]
% apply(apply(apply(X,apply(Z,V_3)),Y),apply(Z,V_3)) <->
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),n),X),Y),Z),V_3)
% Current number of equations to process: 2
% Current number of ordered equations: 3
% Current number of rules: 39
% New rule produced :
% [40]
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),n),X),Y),Z),V_3)
% <-> apply(apply(apply(X,apply(Z,V_3)),Y),apply(Z,V_3))
% Current number of equations to process: 2
% Current number of ordered equations: 2
% Current number of rules: 40
% New rule produced :
% [41]
% apply(apply(apply(apply(apply(X,Y),Z),Y),V_3),Y) <->
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),n),n),X),Z),V_3),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 41
% New rule produced :
% [42]
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),n),n),X),Z),V_3),Y)
% <-> apply(apply(apply(apply(apply(X,Y),Z),Y),V_3),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 42
% New rule produced :
% [43]
% apply(apply(apply(n,X),V_3),apply(Y,Z)) <->
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),X),apply(Y,Z)),V_3),Y),Z)
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [44]
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),X),apply(Y,Z)),V_3),Y),Z)
% <-> apply(apply(apply(n,X),V_3),apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [45]
% apply(apply(apply(apply(n,n),X),Y),X) <->
% apply(apply(apply(n,apply(Y,Y)),Y),X)
% Current number of equations to process: 49
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [46]
% apply(apply(apply(n,apply(Y,Y)),Y),X) <->
% apply(apply(apply(apply(n,n),X),Y),X)
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [47]
% apply(X,apply(apply(apply(n,n),Y),Z)) <->
% apply(apply(apply(b,X),apply(apply(Z,Z),Y)),Z)
% Current number of equations to process: 48
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [48]
% apply(apply(apply(b,X),apply(apply(Z,Z),Y)),Z) <->
% apply(X,apply(apply(apply(n,n),Y),Z))
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [49]
% apply(apply(apply(n,n),apply(Y,Z)),X) <->
% apply(apply(apply(apply(apply(apply(b,b),X),X),Y),Z),X)
% Current number of equations to process: 47
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [50]
% apply(apply(apply(apply(apply(apply(b,b),X),X),Y),Z),X) <->
% apply(apply(apply(n,n),apply(Y,Z)),X)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [51]
% apply(X,apply(apply(apply(Y,Y),Z),Y)) <->
% apply(apply(apply(b,X),apply(apply(n,n),Z)),Y)
% Current number of equations to process: 65
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [52]
% apply(apply(apply(b,X),apply(apply(n,n),Z)),Y) <->
% apply(X,apply(apply(apply(Y,Y),Z),Y))
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [53]
% apply(apply(apply(apply(X,X),Y),X),Y) <->
% apply(apply(apply(apply(apply(b,n),n),n),X),Y)
% Current number of equations to process: 64
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [54]
% apply(apply(apply(apply(apply(b,n),n),n),X),Y) <->
% apply(apply(apply(apply(X,X),Y),X),Y)
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [55]
% apply(apply(apply(Z,Z),apply(X,Y)),Z) <->
% apply(apply(apply(apply(apply(apply(b,b),n),n),X),Y),Z)
% Current number of equations to process: 63
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [56]
% apply(apply(apply(apply(apply(apply(b,b),n),n),X),Y),Z) <->
% apply(apply(apply(Z,Z),apply(X,Y)),Z)
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [57]
% apply(X,apply(apply(apply(n,apply(b,Y)),Z),V_3)) <->
% apply(apply(apply(b,X),apply(Y,apply(V_3,Z))),V_3)
% Current number of equations to process: 73
% Current number of ordered equations: 3
% Current number of rules: 57
% New rule produced :
% [58]
% apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),Y) <->
% apply(apply(apply(n,apply(b,X)),apply(Z,V_3)),Y)
% Current number of equations to process: 73
% Current number of ordered equations: 2
% Current number of rules: 58
% New rule produced :
% [59]
% apply(apply(apply(b,X),apply(Y,apply(V_3,Z))),V_3) <->
% apply(X,apply(apply(apply(n,apply(b,Y)),Z),V_3))
% Current number of equations to process: 73
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [60]
% apply(apply(apply(n,apply(b,X)),apply(Z,V_3)),Y) <->
% apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),Y)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [61]
% apply(X,apply(apply(Y,Z),Y)) <->
% apply(apply(apply(n,apply(apply(apply(b,b),b),X)),Z),Y)
% Current number of equations to process: 72
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [62]
% apply(apply(apply(n,apply(apply(apply(b,b),b),X)),Z),Y) <->
% apply(X,apply(apply(Y,Z),Y))
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [63]
% apply(apply(apply(apply(n,apply(b,X)),Y),Z),apply(Z,Y)) ->
% apply(apply(apply(n,X),Z),apply(Z,Y))
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [64]
% apply(apply(apply(apply(Y,X),Z),Y),Z) <->
% apply(apply(apply(apply(apply(apply(b,n),b),n),X),Y),Z)
% Current number of equations to process: 70
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [65]
% apply(apply(apply(apply(apply(apply(b,n),b),n),X),Y),Z) <->
% apply(apply(apply(apply(Y,X),Z),Y),Z)
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [66]
% apply(apply(X,apply(Z,Y)),Z) <->
% apply(apply(apply(apply(apply(b,n),b),X),Y),Z)
% Current number of equations to process: 88
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [67]
% apply(apply(apply(apply(apply(b,n),b),X),Y),Z) <->
% apply(apply(X,apply(Z,Y)),Z)
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [68]
% apply(X,apply(apply(Y,apply(Z,V_3)),Z)) <->
% apply(apply(apply(b,X),apply(apply(n,apply(b,Y)),V_3)),Z)
% Current number of equations to process: 86
% Current number of ordered equations: 3
% Current number of rules: 68
% New rule produced :
% [69]
% apply(apply(apply(n,apply(apply(apply(b,b),X),Y)),Z),V_3) <->
% apply(apply(apply(X,Y),apply(V_3,Z)),V_3)
% Current number of equations to process: 86
% Current number of ordered equations: 2
% Current number of rules: 69
% New rule produced :
% [70]
% apply(apply(apply(b,X),apply(apply(n,apply(b,Y)),V_3)),Z) <->
% apply(X,apply(apply(Y,apply(Z,V_3)),Z))
% Current number of equations to process: 86
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [71]
% apply(apply(apply(X,Y),apply(V_3,Z)),V_3) <->
% apply(apply(apply(n,apply(apply(apply(b,b),X),Y)),Z),V_3)
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [72]
% apply(apply(apply(X,apply(Y,Z)),Y),Z) <->
% apply(apply(apply(apply(apply(b,n),n),apply(b,X)),Y),Z)
% Current number of equations to process: 85
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [73]
% apply(apply(apply(apply(apply(b,n),n),apply(b,X)),Y),Z) <->
% apply(apply(apply(X,apply(Y,Z)),Y),Z)
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [74]
% apply(X,apply(apply(apply(n,b),Y),Z)) <->
% apply(apply(apply(b,X),Z),apply(Y,Z))
% Current number of equations to process: 104
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [75]
% apply(apply(apply(b,X),Z),apply(Y,Z)) <->
% apply(X,apply(apply(apply(n,b),Y),Z))
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [76]
% apply(apply(apply(b,X),Y),apply(Z,V_3)) <->
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3)
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [77]
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3) <->
% apply(apply(apply(b,X),Y),apply(Z,V_3))
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [78]
% apply(X,apply(apply(apply(b,Y),Z),apply(V_3,V_4))) <->
% apply(apply(apply(b,X),Y),apply(apply(apply(b,Z),V_3),V_4))
% Current number of equations to process: 101
% Current number of ordered equations: 3
% Current number of rules: 78
% New rule produced :
% [79]
% apply(X,apply(apply(apply(apply(apply(b,b),Y),Z),V_3),V_4)) <->
% apply(apply(apply(b,X),apply(Y,Z)),apply(V_3,V_4))
% Current number of equations to process: 101
% Current number of ordered equations: 2
% Current number of rules: 79
% New rule produced :
% [80]
% apply(apply(apply(b,X),Y),apply(apply(apply(b,Z),V_3),V_4)) <->
% apply(X,apply(apply(apply(b,Y),Z),apply(V_3,V_4)))
% Current number of equations to process: 101
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [81]
% apply(apply(apply(b,X),apply(Y,Z)),apply(V_3,V_4)) <->
% apply(X,apply(apply(apply(apply(apply(b,b),Y),Z),V_3),V_4))
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [82]
% apply(apply(apply(b,X),b),apply(Y,b)) <->
% apply(X,apply(apply(apply(n,n),Y),b))
% Current number of equations to process: 125
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [83]
% apply(X,apply(apply(apply(n,n),Y),b)) <->
% apply(apply(apply(b,X),b),apply(Y,b))
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [84]
% apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))) <->
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),apply(V_3,V_4))
% Current number of equations to process: 123
% Current number of ordered equations: 3
% Current number of rules: 84
% New rule produced :
% [85]
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),apply(V_3,V_4)) <->
% apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4)))
% Current number of equations to process: 123
% Current number of ordered equations: 2
% Current number of rules: 85
% New rule produced :
% [86]
% apply(apply(X,Y),apply(apply(apply(b,Z),V_3),V_4)) <->
% apply(apply(apply(apply(apply(b,b),X),Y),Z),apply(V_3,V_4))
% Current number of equations to process: 123
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [87]
% apply(apply(apply(apply(apply(b,b),X),Y),Z),apply(V_3,V_4)) <->
% apply(apply(X,Y),apply(apply(apply(b,Z),V_3),V_4))
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [88]
% apply(X,apply(apply(apply(b,Y),apply(apply(b,Z),V_3)),V_4)) <->
% apply(apply(apply(b,X),Y),apply(Z,apply(V_3,V_4)))
% Current number of equations to process: 122
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [89]
% apply(apply(apply(b,X),Y),apply(Z,apply(V_3,V_4))) <->
% apply(X,apply(apply(apply(b,Y),apply(apply(b,Z),V_3)),V_4))
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [90]
% apply(apply(apply(n,apply(X,Y)),Y),Z) <->
% apply(apply(apply(apply(apply(b,n),n),X),Y),Z)
% Current number of equations to process: 141
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [91]
% apply(apply(apply(apply(apply(b,n),n),X),Y),Z) <->
% apply(apply(apply(n,apply(X,Y)),Y),Z)
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [92]
% apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))) <->
% apply(apply(apply(b,X),Y),apply(Z,apply(V_3,V_4)))
% Current number of equations to process: 140
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [93]
% apply(apply(apply(b,X),Y),apply(Z,apply(V_3,V_4))) <->
% apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4)))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [94]
% apply(apply(apply(n,apply(apply(X,Y),V_3)),V_3),Z) <->
% apply(apply(apply(apply(apply(apply(b,n),X),Y),Z),V_3),Z)
% Current number of equations to process: 138
% Current number of ordered equations: 3
% Current number of rules: 94
% New rule produced :
% [95]
% apply(apply(apply(b,X),apply(apply(apply(n,Y),V_3),Z)),V_3) <->
% apply(X,apply(apply(apply(n,apply(Y,Z)),Z),V_3))
% Current number of equations to process: 138
% Current number of ordered equations: 2
% Current number of rules: 95
% New rule produced :
% [96]
% apply(X,apply(apply(apply(n,apply(Y,Z)),Z),V_3)) <->
% apply(apply(apply(b,X),apply(apply(apply(n,Y),V_3),Z)),V_3)
% Current number of equations to process: 138
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [97]
% apply(apply(apply(apply(apply(apply(b,n),X),Y),Z),V_3),Z) <->
% apply(apply(apply(n,apply(apply(X,Y),V_3)),V_3),Z)
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [98]
% apply(apply(apply(apply(n,X),Z),Y),Z) <->
% apply(apply(apply(apply(apply(b,n),X),Y),Y),Z)
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [99]
% apply(apply(apply(apply(apply(b,n),X),Y),Y),Z) <->
% apply(apply(apply(apply(n,X),Z),Y),Z)
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [100]
% apply(apply(apply(b,X),apply(apply(n,apply(Y,V_3)),V_3)),Z) <->
% apply(X,apply(apply(apply(apply(n,Y),Z),V_3),Z))
% Current number of equations to process: 154
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [101]
% apply(X,apply(apply(apply(apply(n,Y),Z),V_3),Z)) <->
% apply(apply(apply(b,X),apply(apply(n,apply(Y,V_3)),V_3)),Z)
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [102]
% apply(apply(apply(n,apply(X,apply(Y,Z))),Z),V_3) <->
% apply(apply(apply(apply(n,apply(apply(b,X),Y)),V_3),Z),V_3)
% Current number of equations to process: 153
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [103]
% apply(apply(apply(apply(n,apply(apply(b,X),Y)),V_3),Z),V_3) <->
% apply(apply(apply(n,apply(X,apply(Y,Z))),Z),V_3)
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [104]
% apply(apply(apply(apply(n,X),Y),X),Y) <->
% apply(apply(apply(apply(apply(apply(b,n),b),n),X),X),Y)
% Current number of equations to process: 180
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [105]
% apply(apply(apply(apply(apply(apply(b,n),b),n),X),X),Y) <->
% apply(apply(apply(apply(n,X),Y),X),Y)
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [106]
% apply(X,apply(Y,apply(apply(apply(n,Z),V_3),V_4))) <->
% apply(apply(apply(b,X),Y),apply(apply(apply(Z,V_4),V_3),V_4))
% Current number of equations to process: 179
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [107]
% apply(apply(apply(b,X),Y),apply(apply(apply(Z,V_4),V_3),V_4)) <->
% apply(X,apply(Y,apply(apply(apply(n,Z),V_3),V_4)))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [108]
% apply(apply(X,apply(Y,apply(Z,V_3))),apply(apply(b,Y),Z)) <->
% apply(apply(apply(n,apply(b,X)),V_3),apply(apply(b,Y),Z))
% Current number of equations to process: 178
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [109]
% apply(apply(apply(n,apply(b,X)),V_3),apply(apply(b,Y),Z)) <->
% apply(apply(X,apply(Y,apply(Z,V_3))),apply(apply(b,Y),Z))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [110]
% apply(apply(X,apply(V_3,apply(Y,Z))),V_3) <->
% apply(apply(apply(apply(apply(apply(b,b),n),apply(b,X)),Y),Z),V_3)
% Current number of equations to process: 177
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [111]
% apply(apply(apply(apply(apply(apply(b,b),n),apply(b,X)),Y),Z),V_3) <->
% apply(apply(X,apply(V_3,apply(Y,Z))),V_3)
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [112]
% apply(apply(apply(apply(apply(b,n),X),apply(Y,Z)),V_3),V_4) <->
% apply(apply(apply(apply(apply(apply(b,X),Y),Z),V_4),V_3),V_4)
% Current number of equations to process: 176
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [113]
% apply(apply(apply(apply(apply(apply(b,X),Y),Z),V_4),V_3),V_4) <->
% apply(apply(apply(apply(apply(b,n),X),apply(Y,Z)),V_3),V_4)
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [114]
% apply(X,apply(apply(apply(b,Y),apply(apply(Z,V_4),V_3)),V_4)) <->
% apply(apply(apply(b,X),Y),apply(apply(apply(n,Z),V_3),V_4))
% Current number of equations to process: 175
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [115]
% apply(apply(apply(b,X),Y),apply(apply(apply(n,Z),V_3),V_4)) <->
% apply(X,apply(apply(apply(b,Y),apply(apply(Z,V_4),V_3)),V_4))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [116]
% apply(X,apply(apply(apply(b,Y),apply(apply(n,Z),V_4)),V_3)) <->
% apply(apply(apply(b,X),Y),apply(apply(apply(Z,V_3),V_4),V_3))
% Current number of equations to process: 174
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [117]
% apply(apply(apply(b,X),Y),apply(apply(apply(Z,V_3),V_4),V_3)) <->
% apply(X,apply(apply(apply(b,Y),apply(apply(n,Z),V_4)),V_3))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [118]
% apply(X,apply(apply(apply(b,Y),apply(apply(V_3,V_3),Z)),V_3)) <->
% apply(apply(apply(b,X),Y),apply(apply(apply(n,n),Z),V_3))
% Current number of equations to process: 173
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [119]
% apply(apply(apply(b,X),Y),apply(apply(apply(n,n),Z),V_3)) <->
% apply(X,apply(apply(apply(b,Y),apply(apply(V_3,V_3),Z)),V_3))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [120]
% apply(X,apply(apply(apply(b,Y),apply(apply(n,n),V_3)),Z)) <->
% apply(apply(apply(b,X),Y),apply(apply(apply(Z,Z),V_3),Z))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [121]
% apply(apply(apply(b,X),Y),apply(apply(apply(Z,Z),V_3),Z)) <->
% apply(X,apply(apply(apply(b,Y),apply(apply(n,n),V_3)),Z))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [122]
% apply(apply(apply(apply(apply(b,n),X),apply(Y,Z)),Z),V_3) <->
% apply(apply(apply(apply(n,apply(apply(b,X),Y)),V_3),Z),V_3)
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [123]
% apply(apply(apply(apply(n,apply(apply(b,X),Y)),V_3),Z),V_3) <->
% apply(apply(apply(apply(apply(b,n),X),apply(Y,Z)),Z),V_3)
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [124]
% apply(X,apply(apply(apply(b,Y),apply(apply(b,Z),V_3)),V_4)) <->
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),apply(V_3,V_4))
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [125]
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),apply(V_3,V_4)) <->
% apply(X,apply(apply(apply(b,Y),apply(apply(b,Z),V_3)),V_4))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [126]
% apply(X,apply(Y,apply(Z,apply(V_3,V_4)))) <->
% apply(apply(apply(b,X),apply(apply(b,Y),apply(apply(b,Z),V_3))),V_4)
% Current number of equations to process: 169
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [127]
% apply(apply(apply(b,X),apply(apply(b,Y),apply(apply(b,Z),V_3))),V_4) <->
% apply(X,apply(Y,apply(Z,apply(V_3,V_4))))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [128]
% apply(apply(apply(n,b),apply(apply(b,X),Y)),Z) <->
% apply(apply(apply(b,Z),X),apply(Y,Z))
% Current number of equations to process: 214
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [129]
% apply(apply(apply(b,Z),X),apply(Y,Z)) <->
% apply(apply(apply(n,b),apply(apply(b,X),Y)),Z)
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [130]
% apply(X,apply(Y,apply(apply(apply(n,n),Z),V_3))) <->
% apply(apply(apply(b,X),Y),apply(apply(apply(V_3,V_3),Z),V_3))
% Current number of equations to process: 213
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [131]
% apply(apply(apply(b,X),Y),apply(apply(apply(V_3,V_3),Z),V_3)) <->
% apply(X,apply(Y,apply(apply(apply(n,n),Z),V_3)))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [132]
% apply(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),Y) <->
% apply(apply(apply(n,apply(b,X)),apply(Z,V_3)),Y)
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [133]
% apply(apply(apply(n,apply(b,X)),apply(Z,V_3)),Y) <->
% apply(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),Y)
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [134]
% apply(X,apply(Y,apply(Z,V_3))) <->
% apply(apply(apply(apply(apply(apply(b,b),b),X),apply(b,Y)),Z),V_3)
% Current number of equations to process: 211
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [135]
% apply(apply(apply(apply(apply(apply(b,b),b),X),apply(b,Y)),Z),V_3) <->
% apply(X,apply(Y,apply(Z,V_3)))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [136]
% apply(X,apply(Y,apply(apply(apply(n,apply(b,Z)),V_3),V_4))) <->
% apply(apply(apply(b,X),Y),apply(apply(Z,apply(V_4,V_3)),V_4))
% Current number of equations to process: 210
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [137]
% apply(apply(apply(b,X),Y),apply(apply(Z,apply(V_4,V_3)),V_4)) <->
% apply(X,apply(Y,apply(apply(apply(n,apply(b,Z)),V_3),V_4)))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [138]
% apply(X,apply(apply(Y,Z),apply(V_3,V_4))) <->
% apply(apply(apply(b,X),apply(apply(apply(apply(b,b),Y),Z),V_3)),V_4)
% Current number of equations to process: 208
% Current number of ordered equations: 3
% Current number of rules: 138
% New rule produced :
% [139]
% apply(apply(X,Y),apply(Z,apply(V_3,V_4))) <->
% apply(apply(apply(apply(apply(b,b),X),Y),apply(apply(b,Z),V_3)),V_4)
% Current number of equations to process: 208
% Current number of ordered equations: 2
% Current number of rules: 139
% New rule produced :
% [140]
% apply(apply(apply(b,X),apply(apply(apply(apply(b,b),Y),Z),V_3)),V_4) <->
% apply(X,apply(apply(Y,Z),apply(V_3,V_4)))
% Current number of equations to process: 208
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [141]
% apply(apply(apply(apply(apply(b,b),X),Y),apply(apply(b,Z),V_3)),V_4) <->
% apply(apply(X,Y),apply(Z,apply(V_3,V_4)))
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [142]
% apply(X,apply(Y,apply(Z,apply(V_3,V_4)))) <->
% apply(apply(apply(b,X),Y),apply(apply(apply(b,Z),V_3),V_4))
% Current number of equations to process: 228
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [143]
% apply(apply(apply(b,X),Y),apply(apply(apply(b,Z),V_3),V_4)) <->
% apply(X,apply(Y,apply(Z,apply(V_3,V_4))))
% Current number of equations to process: 228
% Current number of ordered equations: 0
% Current number of rules: 143
% Rule [5]
% strong_fixed_point <->
% apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),n))),
% apply(apply(apply(apply(apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(apply(b,n),n)),apply(b,b)),n),n),b),b) is composed into
% [5]
% strong_fixed_point <->
% apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% apply(b,b)),b),b),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% apply(b,b)),b),b),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% apply(b,b)),b),b),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% apply(b,b)),b),b),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% apply(b,b)),b),b),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% apply(b,b)),b),b),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(
% apply(b,b),b),
% apply(b,b)),b),b),b),n))),
% apply(apply(apply(apply(apply(apply(
% apply(b,b),b),
% apply(b,b)),b),b),b),b)),
% apply(apply(b,n),n)),apply(b,b)),n),n),b),b)
% New rule produced :
% [144]
% apply(apply(apply(apply(b,X),Y),Z),apply(V_3,V_4)) <->
% apply(apply(apply(apply(apply(b,b),X),apply(Y,Z)),V_3),V_4)
% Rule
% [6]
% apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(b,b),b),b),
% apply(b,b)),b),n))),
% apply(apply(apply(apply(apply(apply(b,b),b),b),
% apply(b,b)),b),b)),apply(
% apply(b,n),n)),
% apply(b,b)),n),n),b),b) <-> strong_fixed_point
% collapsed.
% Current number of equations to process: 228
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [145]
% strong_fixed_point <->
% apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),n))),
% apply(apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b)),
% apply(apply(b,n),n)),apply(b,b)),n),n),b),b)
% Current number of equations to process: 0
% Current number of ordered equations: 8845
% Current number of rules: 144
% New rule produced :
% [146]
% apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b)),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b)),
% apply(
% apply(
% apply(b,b),b),b)),
% apply(b,b)),b),b),
% apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),n))),
% apply(apply(apply(apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),b),b),b),b),b),b),b),b)),
% apply(apply(b,n),n)),apply(b,b)),n),n),b),b)
% <-> strong_fixed_point
% Current number of equations to process: 0
% Current number of ordered equations: 8844
% Current number of rules: 145
% New rule produced :
% [147]
% apply(apply(apply(apply(n,apply(b,b)),X),Y),Z) <->
% apply(apply(Y,X),apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 8843
% Current number of rules: 146
% New rule produced :
% [148]
% apply(apply(X,Z),apply(Y,Z)) <->
% apply(apply(apply(n,apply(apply(b,b),X)),Y),Z)
% Current number of equations to process: 0
% Current number of ordered equations: 8839
% Current number of rules: 147
% New rule produced :
% [149]
% apply(apply(Y,X),apply(Y,Z)) <->
% apply(apply(apply(apply(n,apply(b,b)),X),Y),Z)
% Current number of equations to process: 0
% Current number of ordered equations: 8838
% Current number of rules: 148
% New rule produced :
% [150]
% apply(apply(apply(apply(apply(n,b),X),b),Y),Z) <->
% apply(apply(X,b),apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 8837
% Current number of rules: 149
% New rule produced :
% [151]
% apply(apply(apply(n,apply(apply(b,b),X)),Y),Z) <->
% apply(apply(X,Z),apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 8833
% Current number of rules: 150
% New rule produced :
% [152]
% apply(apply(X,b),apply(Y,Z)) <->
% apply(apply(apply(apply(apply(n,b),X),b),Y),Z)
% Current number of equations to process: 0
% Current number of ordered equations: 8832
% Current number of rules: 151
% New rule produced :
% [153]
% apply(apply(apply(apply(apply(n,n),X),b),Y),Z) <->
% apply(apply(X,b),apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 8831
% Current number of rules: 152
% New rule produced :
% [154]
% apply(apply(X,b),apply(Y,Z)) <->
% apply(apply(apply(apply(apply(n,n),X),b),Y),Z)
% Current number of equations to process: 0
% Current number of ordered equations: 8830
% Current number of rules: 153
% New rule produced :
% [155]
% apply(apply(apply(apply(apply(n,b),b),n),X),Y) <->
% apply(apply(n,apply(Y,X)),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 8829
% Current number of rules: 154
% New rule produced :
% [156]
% apply(apply(n,apply(Y,X)),Y) <->
% apply(apply(apply(apply(apply(n,b),b),n),X),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 8828
% Current number of rules: 155
% New rule produced :
% [157]
% apply(apply(apply(b,X),Y),apply(Z,Y)) <->
% apply(apply(apply(b,X),apply(apply(n,b),Z)),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 8824
% Current number of rules: 156
% New rule produced :
% [158]
% apply(apply(apply(b,X),apply(apply(n,b),Z)),Y) <->
% apply(apply(apply(b,X),Y),apply(Z,Y))
% Current number of equations to process: 0
% Current number of ordered equations: 8820
% Current number of rules: 157
% New rule produced :
% [159]
% apply(apply(apply(apply(apply(b,n),Y),Y),Y),X) <->
% apply(apply(apply(apply(n,n),X),Y),X)
% Current number of equations to process: 0
% Current number of ordered equations: 8813
% Current number of rules: 158
% New rule produced :
% [160]
% apply(apply(apply(apply(n,n),X),Y),X) <->
% apply(apply(apply(apply(apply(b,n),Y),Y),Y),X)
% Current number of equations to process: 0
% Current number of ordered equations: 8806
% Current number of rules: 159
% New rule produced :
% [161]
% apply(apply(apply(apply(X,n),Z),Y),Z) <->
% apply(apply(apply(apply(apply(n,b),X),n),Y),Z)
% Current number of equations to process: 0
% Current number of ordered equations: 8803
% Current number of rules: 160
% New rule produced :
% [162]
% apply(apply(apply(apply(apply(n,b),X),n),Y),Z) <->
% apply(apply(apply(apply(X,n),Z),Y),Z)
% Current number of equations to process: 0
% Current number of ordered equations: 8800
% Current number of rules: 161
% New rule produced :
% [163]
% apply(apply(apply(n,apply(X,X)),X),Y) <->
% apply(apply(apply(apply(apply(b,n),n),n),X),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 8794
% Current number of rules: 162
% New rule produced :
% [164]
% apply(apply(apply(apply(apply(b,n),n),n),X),Y) <->
% apply(apply(apply(n,apply(X,X)),X),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 8788
% Current number of rules: 163
% New rule produced :
% [165]
% apply(apply(apply(apply(n,X),Y),X),Y) <->
% apply(apply(apply(apply(apply(n,b),n),n),X),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 8787
% Current number of rules: 164
% New rule produced :
% [166]
% apply(apply(apply(apply(apply(n,b),n),n),X),Y) <->
% apply(apply(apply(apply(n,X),Y),X),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 8786
% Current number of rules: 165
% New rule produced :
% [167]
% apply(apply(apply(b,X),b),apply(Y,b)) <->
% apply(apply(apply(b,X),apply(apply(n,n),Y)),b)
% Current number of equations to process: 0
% Current number of ordered equations: 8781
% Current number of rules: 166
% New rule produced :
% [168]
% apply(apply(apply(b,X),apply(apply(n,n),Y)),b) <->
% apply(apply(apply(b,X),b),apply(Y,b))
% Current number of equations to process: 0
% Current number of ordered equations: 8776
% Current number of rules: 167
% New rule produced :
% [169]
% apply(apply(apply(apply(X,X),Y),X),Y) <->
% apply(apply(apply(apply(apply(n,b),n),n),X),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 8775
% Current number of rules: 168
% New rule produced :
% [170]
% apply(apply(apply(apply(apply(n,b),n),n),X),Y) <->
% apply(apply(apply(apply(X,X),Y),X),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 8774
% Current number of rules: 169
% New rule produced :
% [171]
% apply(apply(apply(n,apply(Y,X)),X),apply(n,Y)) <->
% apply(apply(apply(n,n),X),apply(n,Y))
% Current number of equations to process: 0
% Current number of ordered equations: 8773
% Current number of rules: 170
% New rule produced :
% [172]
% apply(apply(apply(n,n),X),apply(n,Y)) <->
% apply(apply(apply(n,apply(Y,X)),X),apply(n,Y))
% Current number of equations to process: 0
% Current number of ordered equations: 8772
% Current number of rules: 171
% New rule produced :
% [173]
% apply(apply(apply(apply(apply(n,b),X),n),n),Y) <->
% apply(apply(apply(apply(n,X),Y),n),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 8770
% Current number of rules: 172
% New rule produced :
% [174]
% apply(apply(apply(apply(n,X),Y),n),Y) <->
% apply(apply(apply(apply(apply(n,b),X),n),n),Y)
% Current number of equations to process: 0
% Current number of ordered equations: 8768
% Current number of rules: 173
% New rule produced :
% [175]
% apply(apply(apply(b,X),apply(apply(Y,V_3),Z)),V_3) <->
% apply(apply(apply(b,X),apply(apply(n,Y),Z)),V_3)
% Current number of equations to process: 0
% Current number of ordered equations: 8759
% Current number of rules: 174
% New rule produced :
% [176]
% apply(apply(apply(b,X),apply(apply(n,Y),Z)),V_3) <->
% apply(apply(apply(b,X),apply(apply(Y,V_3),Z)),V_3)
% Current number of equations to process: 16
% Current number of ordered equations: 8734
% Current number of rules: 175
% New rule produced :
% [177]
% apply(apply(apply(b,X),apply(apply(n,n),Z)),Y) <->
% apply(apply(apply(b,X),apply(apply(Y,Y),Z)),Y)
% Current number of equations to process: 16
% Current number of ordered equations: 8727
% Current number of rules: 176
% New rule produced :
% [178]
% apply(apply(apply(b,X),apply(apply(Y,Y),Z)),Y) <->
% apply(apply(apply(b,X),apply(apply(n,n),Z)),Y)
% Current number of equations to process: 16
% Current number of ordered equations: 8720
% Current number of rules: 177
% New rule produced :
% [179]
% apply(apply(apply(apply(apply(apply(b,n),b),b),X),Y),Z) <->
% apply(apply(Y,X),apply(Y,Z))
% Current number of equations to process: 16
% Current number of ordered equations: 8719
% Current number of rules: 178
% New rule produced :
% [180]
% apply(apply(X,Y),apply(Z,Y)) <->
% apply(apply(apply(apply(apply(b,n),apply(b,b)),X),Z),Y)
% Current number of equations to process: 16
% Current number of ordered equations: 8717
% Current number of rules: 179
% New rule produced :
% [181]
% apply(apply(Y,X),apply(Y,Z)) <->
% apply(apply(apply(apply(apply(apply(b,n),b),b),X),Y),Z)
% Current number of equations to process: 16
% Current number of ordered equations: 8716
% Current number of rules: 180
% New rule produced :
% [182]
% apply(apply(apply(apply(apply(b,n),apply(b,b)),X),Z),Y) <->
% apply(apply(X,Y),apply(Z,Y))
% Current number of equations to process: 16
% Current number of ordered equations: 8714
% Current number of rules: 181
% New rule produced :
% [183]
% apply(apply(apply(apply(apply(b,n),n),X),Y),Z) <->
% apply(apply(apply(apply(apply(b,n),X),Y),Y),Z)
% Current number of equations to process: 54
% Current number of ordered equations: 8662
% Current number of rules: 182
% New rule produced :
% [184]
% apply(apply(apply(apply(apply(b,n),X),Y),Y),Z) <->
% apply(apply(apply(apply(apply(b,n),n),X),Y),Z)
% Current number of equations to process: 54
% Current number of ordered equations: 8648
% Current number of rules: 183
% New rule produced :
% [185]
% apply(apply(apply(apply(apply(b,n),X),X),X),Y) <->
% apply(apply(apply(apply(apply(b,n),n),n),X),Y)
% Current number of equations to process: 54
% Current number of ordered equations: 8645
% Current number of rules: 184
% New rule produced :
% [186]
% apply(apply(apply(apply(apply(b,n),n),n),X),Y) <->
% apply(apply(apply(apply(apply(b,n),X),X),X),Y)
% Current number of equations to process: 54
% Current number of ordered equations: 8642
% Current number of rules: 185
% New rule produced :
% [187]
% apply(X,apply(apply(apply(apply(b,Y),Z),V_3),Z)) <->
% apply(apply(apply(b,X),apply(Y,apply(Z,V_3))),Z)
% Current number of equations to process: 54
% Current number of ordered equations: 8641
% Current number of rules: 186
% New rule produced :
% [188]
% apply(apply(apply(b,X),apply(Y,apply(Z,V_3))),Z) <->
% apply(X,apply(apply(apply(apply(b,Y),Z),V_3),Z))
% Current number of equations to process: 54
% Current number of ordered equations: 8640
% Current number of rules: 187
% New rule produced :
% [189]
% apply(apply(apply(n,apply(b,X)),apply(Y,Z)),Z) <->
% apply(apply(X,apply(apply(apply(n,b),Y),Z)),Z)
% Current number of equations to process: 54
% Current number of ordered equations: 8637
% Current number of rules: 188
% New rule produced :
% [190]
% apply(apply(X,apply(apply(apply(n,b),Y),Z)),Z) <->
% apply(apply(apply(n,apply(b,X)),apply(Y,Z)),Z)
% Current number of equations to process: 54
% Current number of ordered equations: 8634
% Current number of rules: 189
% New rule produced :
% [191]
% apply(X,apply(apply(Z,Y),Z)) <->
% apply(apply(apply(apply(apply(b,n),b),apply(b,X)),Y),Z)
% Current number of equations to process: 54
% Current number of ordered equations: 8626
% Current number of rules: 190
% New rule produced :
% [192]
% apply(apply(apply(apply(apply(b,n),b),apply(b,X)),Y),Z) <->
% apply(X,apply(apply(Z,Y),Z))
% Current number of equations to process: 54
% Current number of ordered equations: 8618
% Current number of rules: 191
% New rule produced :
% [193]
% apply(apply(apply(apply(X,Y),Y),apply(b,n)),Y) <->
% apply(apply(apply(apply(n,n),X),apply(b,n)),Y)
% Current number of equations to process: 54
% Current number of ordered equations: 8616
% Current number of rules: 192
% New rule produced :
% [194]
% apply(apply(apply(apply(n,n),X),apply(b,n)),Y) <->
% apply(apply(apply(apply(X,Y),Y),apply(b,n)),Y)
% Current number of equations to process: 54
% Current number of ordered equations: 8614
% Current number of rules: 193
% New rule produced :
% [195]
% apply(apply(apply(apply(apply(b,n),n),X),X),Y) <->
% apply(apply(apply(apply(apply(n,b),n),n),X),Y)
% Current number of equations to process: 54
% Current number of ordered equations: 8613
% Current number of rules: 194
% New rule produced :
% [196]
% apply(apply(apply(apply(apply(n,b),n),n),X),Y) <->
% apply(apply(apply(apply(apply(b,n),n),X),X),Y)
% Current number of equations to process: 54
% Current number of ordered equations: 8612
% Current number of rules: 195
% New rule produced :
% [197]
% apply(X,apply(apply(apply(apply(b,Y),Z),V_3),V_4)) <->
% apply(apply(apply(b,X),apply(Y,apply(Z,V_3))),V_4)
% Rule
% [187]
% apply(X,apply(apply(apply(apply(b,Y),Z),V_3),Z)) <->
% apply(apply(apCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------