TSTP Solution File: COL036-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : COL036-1 : TPTP v6.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n095.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 00:19:47 EDT 2014
% Result : Timeout 300.06s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : COL036-1 : TPTP v6.0.0. Released v1.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n095.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 18:19:33 CDT 2014
% % CPUTime : 300.06
% Processing problem /tmp/CiME_36802_n095.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " t,b,s : constant; f : 1; apply : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z));
% apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z));
% apply(apply(t,X),Y) = apply(Y,X);
% ";
%
% let s1 = status F "
% f lr_lex;
% t lr_lex;
% b lr_lex;
% apply lr_lex;
% s lr_lex;
% ";
%
% let p1 = precedence F "
% apply > f > s > b > t";
%
% let s2 = status F "
% f mul;
% t mul;
% b mul;
% apply mul;
% s mul;
% ";
%
% let p2 = precedence F "
% apply > f > s = b = t";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " apply(Y,f(Y)) = apply(f(Y),apply(Y,f(Y)));"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { apply(apply(apply(s,X),Y),Z) =
% apply(apply(X,Z),apply(Y,Z)),
% apply(apply(apply(b,X),Y),Z) =
% apply(X,apply(Y,Z)),
% apply(apply(t,X),Y) = apply(Y,X) }
% (3 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
%
% [t] = 1;
% [b] = 2;
% [s] = 3;
% [f](x1) = 4 + 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(Y,f(Y)) = apply(f(Y),apply(Y,f(Y))) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] (eq)(X,X) -> (true)
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 1
% New rule produced :
% [2] (eq)(apply(Y,f(Y)),apply(f(Y),apply(Y,f(Y)))) -> (false)
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 2
% New rule produced : [3] apply(apply(t,X),Y) -> apply(Y,X)
% 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(X,Z),apply(Y,Z)) <-> apply(apply(apply(s,X),Y),Z)
% Current number of equations to process: 1
% Current number of ordered equations: 2
% Current number of rules: 5
% New rule produced :
% [6] apply(apply(apply(s,X),Y),Z) <-> apply(apply(X,Z),apply(Y,Z))
% Current number of equations to process: 1
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [7]
% (eq)(apply(f(apply(t,X)),X),apply(f(apply(t,X)),apply(f(apply(t,X)),X))) ->
% (false)
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] apply(apply(X,Y),Y) <-> apply(apply(apply(s,t),X),Y)
% Current number of equations to process: 5
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced : [9] apply(apply(apply(s,t),X),Y) <-> apply(apply(X,Y),Y)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] apply(X,X) <-> apply(apply(apply(s,t),t),X)
% Current number of equations to process: 16
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced : [11] apply(apply(apply(s,t),t),X) <-> apply(X,X)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12]
% (eq)(apply(X,apply(Y,f(apply(apply(b,X),Y)))),apply(f(apply(apply(b,X),Y)),
% apply(X,apply(Y,f(apply(
% apply(b,X),Y))))))
% -> (false)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] apply(X,X) <-> apply(apply(apply(s,t),t),apply(t,X))
% Current number of equations to process: 57
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced : [14] apply(apply(apply(s,t),t),apply(t,X)) <-> apply(X,X)
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(b,X),X)),
% apply(X,apply(X,
% f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16] apply(apply(X,Y),X) <-> apply(apply(apply(s,t),apply(t,Y)),X)
% Current number of equations to process: 75
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [17] apply(apply(apply(s,t),apply(t,Y)),X) <-> apply(apply(X,Y),X)
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18] apply(X,apply(X,Y)) <-> apply(apply(apply(apply(s,t),b),X),Y)
% Current number of equations to process: 99
% Current number of ordered equations: 3
% Current number of rules: 18
% New rule produced :
% [19] apply(X,apply(Y,Y)) <-> apply(apply(apply(s,t),apply(b,X)),Y)
% Current number of equations to process: 99
% Current number of ordered equations: 2
% Current number of rules: 19
% New rule produced :
% [20] apply(apply(apply(apply(s,t),b),X),Y) <-> apply(X,apply(X,Y))
% Current number of equations to process: 99
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [21] apply(apply(apply(s,t),apply(b,X)),Y) <-> apply(X,apply(Y,Y))
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22] apply(apply(X,X),X) <-> apply(apply(apply(s,t),apply(s,t)),X)
% Current number of equations to process: 203
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [23] apply(apply(apply(s,t),apply(s,t)),X) <-> apply(apply(X,X),X)
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(apply(s,t),b),X)),
% apply(X,apply(X,f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 227
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [25]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(b,X),X)),
% apply(X,apply(X,f(apply(
% apply(
% apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(b,X),X))),apply(
% f(apply(
% apply(b,X),X)),
% apply(X,
% apply(X,
% f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27]
% (eq)(apply(f(apply(apply(apply(s,t),apply(b,t)),X)),apply(X,X)),apply(
% f(apply(t,
% apply(X,X))),
% apply(
% f(apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false)
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [28]
% (eq)(apply(apply(apply(s,t),apply(b,f(apply(t,apply(X,X))))),X),apply(
% f(apply(t,
% apply(X,X))),
% apply(
% f(apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false)
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [29]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(
% apply(s,t),b),X)),
% apply(X,apply(X,
% f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 307
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [30]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(b,X),X)),
% apply(X,apply(X,
% f(apply(
% apply(
% apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [31]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(apply(s,t),b),X))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(b,X),X)))))) ->
% (false)
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [32]
% (eq)(apply(f(apply(apply(apply(s,t),apply(b,t)),apply(t,X))),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [33]
% (eq)(apply(apply(apply(s,t),apply(b,f(apply(t,apply(X,X))))),apply(t,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [34] apply(apply(apply(s,apply(t,Y)),Z),X) <-> apply(apply(X,Y),apply(Z,X))
% Current number of equations to process: 378
% Current number of ordered equations: 3
% Current number of rules: 34
% New rule produced :
% [35] apply(apply(X,Y),apply(Y,Z)) <-> apply(apply(apply(s,X),apply(t,Z)),Y)
% Current number of equations to process: 378
% Current number of ordered equations: 2
% Current number of rules: 35
% New rule produced :
% [36] apply(apply(X,Y),apply(Z,X)) <-> apply(apply(apply(s,apply(t,Y)),Z),X)
% Current number of equations to process: 378
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [37] apply(apply(apply(s,X),apply(t,Z)),Y) <-> apply(apply(X,Y),apply(Y,Z))
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [38] apply(X,apply(Y,apply(Z,Y))) <-> apply(apply(apply(s,apply(b,X)),Z),Y)
% Current number of equations to process: 572
% Current number of ordered equations: 3
% Current number of rules: 38
% New rule produced :
% [39] apply(Y,apply(apply(X,Y),Z)) <-> apply(apply(apply(apply(s,b),X),Y),Z)
% Current number of equations to process: 572
% Current number of ordered equations: 2
% Current number of rules: 39
% New rule produced :
% [40] apply(apply(apply(apply(s,b),X),Y),Z) <-> apply(Y,apply(apply(X,Y),Z))
% Current number of equations to process: 572
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [41] apply(apply(apply(s,apply(b,X)),Z),Y) <-> apply(X,apply(Y,apply(Z,Y)))
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [42] apply(X,apply(Y,X)) <-> apply(apply(apply(apply(s,b),t),X),Y)
% Current number of equations to process: 747
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [43] apply(apply(apply(apply(s,b),t),X),Y) <-> apply(X,apply(Y,X))
% Current number of equations to process: 747
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [44] apply(apply(X,Y),apply(X,Y)) <-> apply(apply(apply(apply(s,t),s),X),Y)
% Current number of equations to process: 953
% Current number of ordered equations: 3
% Current number of rules: 44
% New rule produced :
% [45] apply(apply(X,Y),apply(Y,Y)) <-> apply(apply(apply(s,t),apply(s,X)),Y)
% Current number of equations to process: 953
% Current number of ordered equations: 2
% Current number of rules: 45
% New rule produced :
% [46] apply(apply(apply(apply(s,t),s),X),Y) <-> apply(apply(X,Y),apply(X,Y))
% Current number of equations to process: 953
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [47] apply(apply(apply(s,t),apply(s,X)),Y) <-> apply(apply(X,Y),apply(Y,Y))
% Current number of equations to process: 953
% Current number of ordered equations: 0
% Current number of rules: 47
% Rule [13] apply(X,X) <-> apply(apply(apply(s,t),t),apply(t,X)) is composed into
% [13] apply(X,X) <-> apply(apply(apply(s,t),t),X)
% New rule produced :
% [48] apply(apply(apply(s,t),t),apply(X,Y)) <-> apply(apply(apply(s,X),X),Y)
% Rule [14] apply(apply(apply(s,t),t),apply(t,X)) <-> apply(X,X) collapsed.
% Current number of equations to process: 1218
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [49] apply(apply(apply(s,X),X),Y) <-> apply(apply(apply(s,t),t),apply(X,Y))
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [50] apply(apply(apply(apply(s,t),t),X),X) -> apply(apply(apply(s,t),X),X)
% Current number of equations to process: 1326
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [51] apply(apply(apply(s,t),apply(t,X)),X) -> apply(apply(apply(s,t),X),X)
% Current number of equations to process: 1348
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [52]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(b,X),X)),
% apply(apply(apply(apply(s,t),b),X),
% f(apply(apply(b,X),X))))) ->
% (false)
% Current number of equations to process: 1366
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [53]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(apply(apply(s,t),
% apply(b,t)),X)),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 1384
% Current number of ordered equations: 2
% Current number of rules: 52
% New rule produced :
% [54]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(apply(apply(s,t),
% apply(b,t)),X)),
% apply(X,X)))) -> (false)
% Current number of equations to process: 1389
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [55]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(apply(apply(s,t),
% apply(b,f(apply(t,
% apply(X,X))))),X)))
% -> (false)
% Current number of equations to process: 1389
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [56]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(apply(s,t),b),X)),
% apply(X,apply(X,f(apply(
% apply(
% apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 1531
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [57]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(b,X),X))),apply(
% f(apply(
% apply(
% apply(s,t),b),X)),
% apply(X,
% apply(X,
% f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 1545
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [58]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(b,X),X))),apply(
% f(apply(
% apply(b,X),X)),
% apply(X,
% apply(X,
% f(apply(
% apply(
% apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 1561
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [59] apply(apply(apply(s,X),apply(t,Y)),Y) -> apply(apply(apply(s,X),Y),Y)
% Rule
% [51] apply(apply(apply(s,t),apply(t,X)),X) -> apply(apply(apply(s,t),X),X)
% collapsed.
% Current number of equations to process: 1575
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [60] apply(apply(apply(s,apply(t,X)),Y),X) -> apply(apply(apply(s,X),Y),X)
% Current number of equations to process: 1602
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [61] apply(apply(X,Y),apply(Y,X)) <-> apply(apply(apply(apply(s,s),t),X),Y)
% Current number of equations to process: 1633
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [62] apply(apply(apply(apply(s,s),t),X),Y) <-> apply(apply(X,Y),apply(Y,X))
% Current number of equations to process: 1638
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [63] apply(apply(apply(s,X),X),X) <-> apply(apply(apply(apply(s,s),t),X),X)
% Current number of equations to process: 1822
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [64] apply(apply(apply(apply(s,s),t),X),X) <-> apply(apply(apply(s,X),X),X)
% Current number of equations to process: 1822
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [65]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,Y))),Y)),apply(f(apply(
% apply(b,X),
% apply(t,Y))),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(t,Y))),Y))))
% -> (false)
% Current number of equations to process: 1881
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [66]
% (eq)(apply(apply(X,f(apply(apply(b,apply(t,Y)),X))),Y),apply(f(apply(
% apply(b,
% apply(t,Y)),X)),
% apply(apply(X,
% f(apply(
% apply(b,
% apply(t,Y)),X))),Y)))
% -> (false)
% Current number of equations to process: 1881
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [67]
% (eq)(apply(X,f(apply(apply(b,apply(t,X)),t))),apply(f(apply(apply(b,apply(t,X)),t)),
% apply(X,f(apply(apply(b,
% apply(t,X)),t)))))
% -> (false)
% Current number of equations to process: 1947
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [68]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(b,X),X)),
% apply(apply(apply(
% apply(s,t),b),X),
% f(apply(apply(b,X),X)))))
% -> (false)
% Current number of equations to process: 2009
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [69]
% (eq)(apply(f(apply(apply(apply(s,t),apply(b,t)),X)),apply(apply(apply(s,t),t),X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2027
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [70]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(s,t),t),X)),apply(
% f(apply(t,
% apply(X,X))),
% apply(
% f(apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false)
% Current number of equations to process: 2040
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [71]
% (eq)(apply(apply(apply(s,t),apply(b,f(apply(apply(apply(s,t),apply(b,t)),X)))),X),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2114
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [72]
% (eq)(apply(apply(apply(s,t),apply(b,f(apply(t,apply(apply(apply(s,t),t),X))))),X),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2154
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [73]
% (eq)(apply(f(apply(t,apply(apply(apply(s,t),t),X))),apply(X,X)),apply(
% f(apply(t,
% apply(X,X))),
% apply(
% f(apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false)
% Current number of equations to process: 2165
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [74]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(
% apply(s,t),b),X)),
% apply(X,apply(X,
% f(apply(
% apply(
% apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 2237
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [75]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(apply(s,t),b),X))),
% apply(f(apply(apply(apply(s,t),b),X)),apply(X,apply(X,f(apply(apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [76]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(apply(s,t),b),X))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 2268
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [77]
% (eq)(apply(f(apply(apply(apply(s,t),apply(b,t)),apply(t,apply(t,X)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2279
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [78]
% (eq)(apply(apply(apply(s,t),apply(b,f(apply(t,apply(X,X))))),apply(t,
% apply(t,X))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2322
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [79]
% (eq)(apply(X,apply(f(apply(apply(apply(s,b),t),X)),X)),apply(f(apply(
% apply(b,X),
% apply(t,X))),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(t,X))),X))))
% -> (false)
% Current number of equations to process: 2359
% Current number of ordered equations: 2
% Current number of rules: 77
% New rule produced :
% [80]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,X))),X)),apply(f(apply(
% apply(
% apply(s,b),t),X)),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(t,X))),X))))
% -> (false)
% Current number of equations to process: 2360
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [81]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,X))),X)),apply(f(apply(
% apply(b,X),
% apply(t,X))),
% apply(X,apply(
% f(apply(
% apply(
% apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 2360
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [82]
% (eq)(apply(f(apply(t,apply(apply(apply(s,t),t),X))),apply(apply(apply(s,t),t),X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 2398
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [83]
% (eq)(apply(X,apply(f(apply(apply(apply(s,b),t),X)),X)),apply(f(apply(
% apply(b,X),
% apply(t,X))),
% apply(X,apply(
% f(apply(
% apply(
% apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 2436
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [84]
% (eq)(apply(X,apply(f(apply(apply(apply(s,b),t),X)),X)),apply(f(apply(
% apply(
% apply(s,b),t),X)),
% apply(X,apply(
% f(apply(
% apply(b,X),
% apply(t,X))),X))))
% -> (false)
% Current number of equations to process: 2445
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [85]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,X))),X)),apply(f(apply(
% apply(
% apply(s,b),t),X)),
% apply(X,apply(
% f(apply(
% apply(
% apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 2445
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [86]
% (eq)(apply(X,apply(f(apply(apply(apply(s,b),t),X)),X)),apply(f(apply(
% apply(
% apply(s,b),t),X)),
% apply(X,apply(
% f(apply(
% apply(
% apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 2460
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [87]
% apply(apply(Y,Z),apply(apply(X,Y),Z)) <->
% apply(apply(apply(apply(s,s),X),Y),Z)
% Current number of equations to process: 2485
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [88]
% apply(apply(apply(apply(s,s),X),Y),Z) <->
% apply(apply(Y,Z),apply(apply(X,Y),Z))
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [89]
% apply(apply(apply(apply(s,t),X),Y),Y) ->
% apply(apply(apply(s,t),apply(X,Y)),Y)
% Rule
% [50] apply(apply(apply(apply(s,t),t),X),X) -> apply(apply(apply(s,t),X),X)
% collapsed.
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [90]
% apply(apply(Y,apply(X,Y)),apply(X,Y)) <->
% apply(apply(apply(s,apply(s,t)),X),Y)
% Current number of equations to process: 2746
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [91]
% apply(apply(apply(s,apply(s,t)),X),Y) <->
% apply(apply(Y,apply(X,Y)),apply(X,Y))
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [92] apply(apply(X,X),X) <-> apply(apply(apply(s,t),apply(apply(s,t),t)),X)
% Current number of equations to process: 2935
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [93] apply(apply(apply(s,t),apply(apply(s,t),t)),X) <-> apply(apply(X,X),X)
% Current number of equations to process: 2937
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [94] apply(apply(X,Y),Y) <-> apply(apply(apply(apply(s,t),b),apply(t,Y)),X)
% Current number of equations to process: 3017
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [95] apply(apply(apply(apply(s,t),b),apply(t,Y)),X) <-> apply(apply(X,Y),Y)
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [96]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(b,X),X)))))) ->
% (false)
% Current number of equations to process: 3042
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [97] apply(X,X) <-> apply(apply(apply(apply(s,t),b),apply(t,X)),t)
% Current number of equations to process: 3065
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [98] apply(apply(apply(apply(s,t),b),apply(t,X)),t) <-> apply(X,X)
% Current number of equations to process: 3065
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [99]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(f(apply(apply(apply(s,t),b),X)),apply(X,apply(X,f(apply(apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 3130
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [100]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 3129
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [101]
% apply(apply(apply(s,t),apply(b,X)),X) ->
% apply(X,apply(apply(apply(s,t),t),X))
% Current number of equations to process: 3392
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [102] apply(X,apply(Y,Y)) <-> apply(apply(apply(s,t),apply(b,X)),apply(t,Y))
% Current number of equations to process: 3417
% Current number of ordered equations: 5
% Current number of rules: 99
% New rule produced :
% [103] apply(Y,apply(X,X)) <-> apply(apply(apply(apply(s,t),apply(b,t)),X),Y)
% Current number of equations to process: 3423
% Current number of ordered equations: 4
% Current number of rules: 100
% New rule produced :
% [104] apply(apply(X,X),Y) <-> apply(apply(apply(s,t),apply(b,apply(t,Y))),X)
% Current number of equations to process: 3423
% Current number of ordered equations: 3
% Current number of rules: 101
% New rule produced :
% [105] apply(apply(apply(s,t),apply(b,X)),apply(t,Y)) <-> apply(X,apply(Y,Y))
% Current number of equations to process: 3423
% Current number of ordered equations: 2
% Current number of rules: 102
% New rule produced :
% [106] apply(apply(apply(apply(s,t),apply(b,t)),X),Y) <-> apply(Y,apply(X,X))
% Current number of equations to process: 3423
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [107] apply(apply(apply(s,t),apply(b,apply(t,Y))),X) <-> apply(apply(X,X),Y)
% Current number of equations to process: 3423
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [108]
% (eq)(apply(apply(apply(apply(s,t),apply(b,t)),X),f(apply(t,apply(X,X)))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 3878
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [109]
% (eq)(apply(f(apply(apply(apply(apply(s,t),apply(b,t)),X),t)),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 3878
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [110]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X),apply(
% f(apply(X,X)),
% apply(
% apply(X,X),
% f(apply(X,X)))))
% -> (false)
% Current number of equations to process: 4275
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [111]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),X)))
% -> (false)
% Current number of equations to process: 4274
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [112]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,X)),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 4794
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [113]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X),apply(
% f(apply(
% apply(
% apply(s,t),t),X)),
% apply(
% apply(X,X),
% f(apply(X,X)))))
% -> (false)
% Current number of equations to process: 4815
% Current number of ordered equations: 2
% Current number of rules: 110
% New rule produced :
% [114]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X),apply(
% f(apply(X,X)),
% apply(
% apply(
% apply(
% apply(s,t),t),X),
% f(apply(X,X)))))
% -> (false)
% Current number of equations to process: 4815
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [115]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X),apply(
% f(apply(X,X)),
% apply(
% apply(X,X),
% f(apply(
% apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 4815
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [116]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(apply(apply(s,t),t),X))))),X),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 4880
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [117]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),X)))
% -> (false)
% Current number of equations to process: 4878
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [118]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),X)))
% -> (false)
% Current number of equations to process: 4878
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [119]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),
% apply(t,X)))) ->
% (false)
% Current number of equations to process: 4877
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [120]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,X)),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4936
% Current number of ordered equations: 2
% Current number of rules: 117
% New rule produced :
% [121]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,X)),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4936
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [122]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,X)),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 4936
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [123]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,
% apply(t,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 4935
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [124]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4964
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [125]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(s,t),t),X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1924
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [126]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 1975
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [127]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2031
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [128]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X),apply(
% f(apply(X,X)),
% apply(
% apply(
% apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),X)))
% -> (false)
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [129]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2087
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [130]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(
% apply(
% apply(s,t),t),X)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2476
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [131]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(
% apply(
% apply(s,t),t),X)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2476
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [132]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(s,t),t),X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2539
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [133]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(s,t),t),X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2539
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [134]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2600
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [135]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [136]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 2699
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [137]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(apply(apply(s,t),t),X),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 2720
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [138]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(X,X),f(apply(apply(apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2720
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [139]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2716
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [140]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2716
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [141]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(s,t),t),X),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2714
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [142]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2710
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [143]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [144]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 2704
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [145]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [146]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [147]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2955
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [148]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 3057
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [149]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 3311
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [150]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 3368
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [151]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t),f(
% apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 3859
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [152]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 3917
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [153]
% (eq)(apply(apply(apply(apply(s,t),apply(b,t)),apply(t,X)),f(apply(t,apply(X,X)))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false)
% Current number of equations to process: 4069
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [154]
% (eq)(apply(f(apply(apply(apply(apply(s,t),apply(b,t)),apply(t,X)),t)),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [155]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(apply(s,t),apply(b,apply(t,
% f(
% apply(X,X))))),X)))
% -> (false)
% Current number of equations to process: 4111
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [156]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(s,t),
% apply(b,
% apply(t,
% f(apply(
% apply(
% apply(s,t),t),X))))),X)))
% -> (false)
% Current number of equations to process: 4111
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [157]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X)))
% -> (false)
% Current number of equations to process: 4107
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [158]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X)))
% -> (false)
% Current number of equations to process: 4107
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [159]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(apply(apply(s,t),t),X))))),
% apply(t,X)),apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4106
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [160]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,X)),
% apply(f(apply(X,X)),apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X)))
% -> (false)
% Current number of equations to process: 4105
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [161]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(apply(apply(s,t),t),X))))),X),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [162]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(apply(apply(s,t),t),X))))),X),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4103
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [163]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(apply(apply(s,t),t),X))))),X),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [164]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X)))
% -> (false)
% Current number of equations to process: 4094
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [165]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),
% apply(t,X)))) ->
% (false)
% Current number of equations to process: 4093
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [166]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),
% apply(t,X)))) ->
% (false)
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [167]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),
% apply(t,apply(t,X)))))
% -> (false)
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [168]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,
% apply(t,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [169]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,
% apply(t,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4083
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [170]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,
% apply(t,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [171]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,
% apply(t,
% apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [172]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 4070
% Current number of ordered equations: 3
% Current number of rules: 169
% New rule produced :
% [173]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4070
% Current number of ordered equations: 2
% Current number of rules: 170
% New rule produced :
% [174]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4070
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [175]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)))))
% -> (false)
% Current number of equations to process: 4070
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [176]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))),apply(
% f(apply(X,X)),
% apply(
% apply(X,X),
% f(apply(X,X)))))
% -> (false)
% Current number of equations to process: 4066
% Current number of ordered equations: 3
% Current number of rules: 173
% New rule produced :
% [177]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4066
% Current number of ordered equations: 2
% Current number of rules: 174
% New rule produced :
% [178]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4066
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced :
% [179]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)))))
% -> (false)
% Current number of equations to process: 4066
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [180]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(
% apply(
% apply(s,t),t),X)),
% apply(apply(apply(
% apply(s,t),t),X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4064
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [181]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(
% apply(
% apply(s,t),t),X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 4064
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [182]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(
% apply(
% apply(s,t),t),X)),
% apply(apply(apply(
% apply(s,t),t),X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4060
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [183]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(
% apply(
% apply(s,t),t),X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 4060
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [184]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(s,t),t),X),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 4057
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [185]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(s,t),t),X),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [186]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t),f(
% apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4033
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [187]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4032
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [188]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t),f(
% apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4029
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [189]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4028
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [190]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t),f(
% apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 4027
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [191]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 4026
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [192]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,apply(t,X)))),t),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4018
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [193]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,
% apply(t,X)))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 4011
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [194]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t)),apply(
% apply(X,X),
% f(
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 2844
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [195]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2901
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [196]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)))))
% -> (false)
% Current number of equations to process: 2955
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [197]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(apply(s,t),b),
% apply(t,apply(t,X))),t)),
% apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4114
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [198]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4158
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [199]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t)))))
% -> (false)
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 196
% Rule [104]
% apply(apply(X,X),Y) <-> apply(apply(apply(s,t),apply(b,apply(t,Y))),X) is composed into
% [104] apply(apply(X,X),Y) <-> apply(apply(t,Y),apply(apply(apply(s,t),t),X))
% Rule [103]
% apply(Y,apply(X,X)) <-> apply(apply(apply(apply(s,t),apply(b,t)),X),Y) is composed into
% [103] apply(Y,apply(X,X)) <-> apply(apply(t,apply(apply(apply(s,t),t),X)),Y)
% Rule [102]
% apply(X,apply(Y,Y)) <-> apply(apply(apply(s,t),apply(b,X)),apply(t,Y)) is composed into
% [102] apply(X,apply(Y,Y)) <-> apply(X,apply(apply(apply(s,t),t),apply(t,Y)))
% Rule [19] apply(X,apply(Y,Y)) <-> apply(apply(apply(s,t),apply(b,X)),Y) is composed into
% [19] apply(X,apply(Y,Y)) <-> apply(X,apply(apply(apply(s,t),t),Y))
% New rule produced :
% [200]
% apply(apply(apply(s,t),apply(b,X)),Y) ->
% apply(X,apply(apply(apply(s,t),t),Y))
% Rule [21] apply(apply(apply(s,t),apply(b,X)),Y) <-> apply(X,apply(Y,Y))
% collapsed.
% Rule
% [27]
% (eq)(apply(f(apply(apply(apply(s,t),apply(b,t)),X)),apply(X,X)),apply(
% f(apply(t,
% apply(X,X))),
% apply(
% f(apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false) collapsed.
% Rule
% [28]
% (eq)(apply(apply(apply(s,t),apply(b,f(apply(t,apply(X,X))))),X),apply(
% f(apply(t,
% apply(X,X))),
% apply(
% f(apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false) collapsed.
% Rule
% [32]
% (eq)(apply(f(apply(apply(apply(s,t),apply(b,t)),apply(t,X))),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [33]
% (eq)(apply(apply(apply(s,t),apply(b,f(apply(t,apply(X,X))))),apply(t,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [53]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(apply(apply(s,t),
% apply(b,t)),X)),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [54]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(apply(apply(s,t),
% apply(b,t)),X)),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [55]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(apply(apply(s,t),
% apply(b,f(apply(t,
% apply(X,X))))),X)))
% -> (false) collapsed.
% Rule
% [69]
% (eq)(apply(f(apply(apply(apply(s,t),apply(b,t)),X)),apply(apply(apply(s,t),t),X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [71]
% (eq)(apply(apply(apply(s,t),apply(b,f(apply(apply(apply(s,t),apply(b,t)),X)))),X),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [72]
% (eq)(apply(apply(apply(s,t),apply(b,f(apply(t,apply(apply(apply(s,t),t),X))))),X),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [77]
% (eq)(apply(f(apply(apply(apply(s,t),apply(b,t)),apply(t,apply(t,X)))),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [78]
% (eq)(apply(apply(apply(s,t),apply(b,f(apply(t,apply(X,X))))),apply(t,
% apply(t,X))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [101]
% apply(apply(apply(s,t),apply(b,X)),X) ->
% apply(X,apply(apply(apply(s,t),t),X)) collapsed.
% Rule
% [105] apply(apply(apply(s,t),apply(b,X)),apply(t,Y)) <-> apply(X,apply(Y,Y))
% collapsed.
% Rule
% [106] apply(apply(apply(apply(s,t),apply(b,t)),X),Y) <-> apply(Y,apply(X,X))
% collapsed.
% Rule
% [107] apply(apply(apply(s,t),apply(b,apply(t,Y))),X) <-> apply(apply(X,X),Y)
% collapsed.
% Rule
% [108]
% (eq)(apply(apply(apply(apply(s,t),apply(b,t)),X),f(apply(t,apply(X,X)))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [109]
% (eq)(apply(f(apply(apply(apply(apply(s,t),apply(b,t)),X),t)),apply(X,X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [110]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X),apply(
% f(apply(X,X)),
% apply(
% apply(X,X),
% f(apply(X,X)))))
% -> (false) collapsed.
% Rule
% [111]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),X)))
% -> (false) collapsed.
% Rule
% [112]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,X)),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [113]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X),apply(
% f(apply(
% apply(
% apply(s,t),t),X)),
% apply(
% apply(X,X),
% f(apply(X,X)))))
% -> (false) collapsed.
% Rule
% [114]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X),apply(
% f(apply(X,X)),
% apply(
% apply(
% apply(
% apply(s,t),t),X),
% f(apply(X,X)))))
% -> (false) collapsed.
% Rule
% [115]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X),apply(
% f(apply(X,X)),
% apply(
% apply(X,X),
% f(apply(
% apply(
% apply(s,t),t),X)))))
% -> (false) collapsed.
% Rule
% [116]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(apply(apply(s,t),t),X))))),X),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [117]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),X)))
% -> (false) collapsed.
% Rule
% [118]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),X)))
% -> (false) collapsed.
% Rule
% [119]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),
% apply(t,X)))) ->
% (false) collapsed.
% Rule
% [120]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,X)),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [121]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,X)),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [122]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,X)),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false) collapsed.
% Rule
% [123]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,
% apply(t,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [128]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X),apply(
% f(apply(X,X)),
% apply(
% apply(
% apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),X)))
% -> (false) collapsed.
% Rule
% [153]
% (eq)(apply(apply(apply(apply(s,t),apply(b,t)),apply(t,X)),f(apply(t,apply(X,X)))),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(X,X)))) ->
% (false) collapsed.
% Rule
% [154]
% (eq)(apply(f(apply(apply(apply(apply(s,t),apply(b,t)),apply(t,X)),t)),
% apply(X,X)),apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% collapsed.
% Rule
% [155]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(apply(s,t),apply(b,apply(t,
% f(
% apply(X,X))))),X)))
% -> (false) collapsed.
% Rule
% [156]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(s,t),
% apply(b,
% apply(t,
% f(apply(
% apply(
% apply(s,t),t),X))))),X)))
% -> (false) collapsed.
% Rule
% [157]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X)))
% -> (false) collapsed.
% Rule
% [158]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X)))
% -> (false) collapsed.
% Rule
% [159]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(apply(apply(s,t),t),X))))),
% apply(t,X)),apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [160]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,X)),
% apply(f(apply(X,X)),apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X)))
% -> (false) collapsed.
% Rule
% [161]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(apply(apply(s,t),t),X))))),X),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [162]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(apply(apply(s,t),t),X))))),X),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [163]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(apply(apply(s,t),t),X))))),X),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false) collapsed.
% Rule
% [164]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),X)))
% -> (false) collapsed.
% Rule
% [165]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),
% apply(t,X)))) ->
% (false) collapsed.
% Rule
% [166]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),
% apply(t,X)))) ->
% (false) collapsed.
% Rule
% [167]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(s,t),
% apply(b,
% apply(t,
% f(apply(X,X))))),
% apply(t,apply(t,X)))))
% -> (false) collapsed.
% Rule
% [168]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,
% apply(t,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [169]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,
% apply(t,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [170]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,
% apply(t,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false) collapsed.
% Rule
% [171]
% (eq)(apply(apply(apply(s,t),apply(b,apply(t,f(apply(X,X))))),apply(t,
% apply(t,
% apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Current number of equations to process: 4313
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [201]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4310
% Current number of ordered equations: 2
% Current number of rules: 145
% New rule produced :
% [202]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(apply(
% apply(s,t),t),X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 4310
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [203]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(X,X))),
% apply(apply(apply(s,t),t),X))))
% -> (false)
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [204] apply(X,apply(X,X)) <-> apply(apply(apply(s,t),apply(apply(s,t),b)),X)
% Current number of equations to process: 4506
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [205] apply(apply(apply(s,t),apply(apply(s,t),b)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 4506
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [206]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(apply(s,t),b),X)),
% apply(apply(apply(apply(s,t),b),X),
% f(apply(apply(b,X),X))))) ->
% (false)
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [207]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(b,X),X)),
% apply(apply(apply(apply(s,t),b),X),
% f(apply(apply(apply(s,t),b),X)))))
% -> (false)
% Current number of equations to process: 4627
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [208]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(b,X),X))),apply(
% f(apply(
% apply(b,X),X)),
% apply(
% apply(
% apply(
% apply(s,t),b),X),
% f(apply(
% apply(b,X),X)))))
% -> (false)
% Current number of equations to process: 4652
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [209]
% (eq)(apply(f(apply(t,apply(apply(apply(s,t),t),X))),apply(X,X)),apply(
% f(apply(t,
% apply(
% apply(
% apply(s,t),t),X))),
% apply(
% f(apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false)
% Current number of equations to process: 4684
% Current number of ordered equations: 2
% Current number of rules: 153
% New rule produced :
% [210]
% (eq)(apply(f(apply(t,apply(apply(apply(s,t),t),X))),apply(X,X)),apply(
% f(apply(t,
% apply(X,X))),
% apply(
% f(apply(t,
% apply(
% apply(
% apply(s,t),t),X))),
% apply(X,X))))
% -> (false)
% Current number of equations to process: 4684
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [211]
% (eq)(apply(f(apply(t,apply(apply(apply(s,t),t),X))),apply(X,X)),apply(
% f(apply(t,
% apply(X,X))),
% apply(
% f(apply(t,
% apply(X,X))),
% apply(
% apply(
% apply(s,t),t),X))))
% -> (false)
% Current number of equations to process: 4684
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [212]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(s,t),t),X)),apply(
% f(apply(t,
% apply(
% apply(
% apply(s,t),t),X))),
% apply(
% f(apply(t,
% apply(X,X))),
% apply(X,X))))
% -> (false)
% Current number of equations to process: 4811
% Current number of ordered equations: 2
% Current number of rules: 156
% New rule produced :
% [213]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(s,t),t),X)),apply(
% f(apply(t,
% apply(X,X))),
% apply(
% f(apply(t,
% apply(
% apply(
% apply(s,t),t),X))),
% apply(X,X))))
% -> (false)
% Current number of equations to process: 4811
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [214]
% (eq)(apply(f(apply(t,apply(X,X))),apply(apply(apply(s,t),t),X)),apply(
% f(apply(t,
% apply(X,X))),
% apply(
% f(apply(t,
% apply(X,X))),
% apply(
% apply(
% apply(s,t),t),X))))
% -> (false)
% Current number of equations to process: 4811
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [215]
% apply(apply(apply(s,apply(t,Y)),Y),X) <->
% apply(apply(apply(s,X),apply(t,X)),Y)
% Current number of equations to process: 4934
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [216]
% apply(apply(apply(s,X),apply(t,X)),Y) <->
% apply(apply(apply(s,apply(t,Y)),Y),X)
% Current number of equations to process: 4934
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [217]
% apply(apply(apply(apply(s,b),Y),X),X) ->
% apply(X,apply(apply(apply(s,t),Y),X))
% Current number of equations to process: 774
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [218] apply(X,apply(X,Y)) <-> apply(apply(apply(apply(s,b),t),X),apply(t,Y))
% Current number of equations to process: 821
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [219] apply(apply(apply(apply(s,b),t),X),apply(t,Y)) <-> apply(X,apply(X,Y))
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [220]
% (eq)(apply(apply(apply(apply(s,b),t),X),apply(t,f(apply(apply(b,X),X)))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(b,X),X)))))) ->
% (false)
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [221]
% (eq)(apply(apply(apply(apply(s,b),t),X),apply(t,f(apply(apply(apply(s,t),b),X)))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(b,X),X)))))) ->
% (false)
% Current number of equations to process: 927
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [222]
% (eq)(apply(apply(apply(apply(s,b),t),X),apply(t,f(apply(apply(b,X),X)))),
% apply(f(apply(apply(apply(s,t),b),X)),apply(X,apply(X,f(apply(apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 926
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [223]
% (eq)(apply(apply(apply(apply(s,b),t),X),apply(t,f(apply(apply(b,X),X)))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 925
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [224] apply(apply(apply(s,t),apply(apply(s,b),t)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 1129
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [225] apply(X,apply(X,X)) <-> apply(apply(apply(s,t),apply(apply(s,b),t)),X)
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 169
% Rule [44]
% apply(apply(X,Y),apply(X,Y)) <-> apply(apply(apply(apply(s,t),s),X),Y) is composed into
% [44] apply(apply(X,Y),apply(X,Y)) <-> apply(apply(apply(s,t),t),apply(X,Y))
% New rule produced :
% [226]
% apply(apply(apply(apply(s,t),s),X),Y) ->
% apply(apply(apply(s,t),t),apply(X,Y))
% Rule
% [46] apply(apply(apply(apply(s,t),s),X),Y) <-> apply(apply(X,Y),apply(X,Y))
% collapsed.
% Current number of equations to process: 1229
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [227]
% apply(apply(apply(s,t),apply(s,X)),X) ->
% apply(apply(apply(s,t),t),apply(X,X))
% Current number of equations to process: 1275
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [228]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(b,X),X))),apply(
% f(apply(
% apply(
% apply(s,t),b),X)),
% apply(X,
% apply(X,
% f(apply(
% apply(
% apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 1272
% Current number of ordered equations: 0
% Current number of rules: 171
% Rule [63]
% apply(apply(apply(s,X),X),X) <-> apply(apply(apply(apply(s,s),t),X),X) is composed into
% [63] apply(apply(apply(s,X),X),X) <-> apply(apply(apply(s,t),t),apply(X,X))
% New rule produced :
% [229]
% apply(apply(apply(apply(s,s),t),X),X) ->
% apply(apply(apply(s,t),t),apply(X,X))
% Rule
% [64] apply(apply(apply(apply(s,s),t),X),X) <-> apply(apply(apply(s,X),X),X)
% collapsed.
% Current number of equations to process: 1298
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [230]
% apply(apply(apply(apply(s,s),t),Y),X) <->
% apply(apply(apply(s,apply(t,X)),X),Y)
% Current number of equations to process: 1332
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [231]
% apply(apply(apply(s,apply(t,X)),X),Y) <->
% apply(apply(apply(apply(s,s),t),Y),X)
% Current number of equations to process: 1332
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [232]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(apply(
% apply(s,t),b),
% apply(t,X)),b)),
% apply(X,apply(X,f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 1413
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [233]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(b,X),X)),
% apply(X,apply(X,f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),b))))))
% -> (false)
% Current number of equations to process: 1413
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [234] apply(X,apply(X,X)) <-> apply(apply(apply(s,t),apply(apply(b,t),X)),X)
% Current number of equations to process: 1466
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [235] apply(apply(apply(s,t),apply(apply(b,t),X)),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 1466
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [236]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(b,X),X)),
% apply(apply(apply(apply(s,b),t),X),
% apply(t,f(apply(apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 1517
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [237]
% (eq)(apply(apply(apply(apply(s,b),t),X),apply(t,f(apply(apply(apply(s,t),b),X)))),
% apply(f(apply(apply(apply(s,t),b),X)),apply(X,apply(X,f(apply(apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 1557
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [238]
% (eq)(apply(apply(apply(apply(s,b),t),X),apply(t,f(apply(apply(apply(s,t),b),X)))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 1584
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [239] apply(X,apply(X,X)) <-> apply(apply(apply(s,apply(apply(s,b),t)),t),X)
% Current number of equations to process: 1611
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [240] apply(apply(apply(s,apply(apply(s,b),t)),t),X) <-> apply(X,apply(X,X))
% Current number of equations to process: 1611
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [241]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(apply(s,t),b),X))),
% apply(f(apply(apply(apply(s,t),b),X)),apply(X,apply(X,f(apply(apply(apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 1701
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [242]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(
% apply(s,t),b),X)),
% apply(apply(apply(
% apply(s,t),b),X),
% f(apply(apply(b,X),X)))))
% -> (false)
% Current number of equations to process: 1724
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [243]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(b,X),X)),
% apply(apply(apply(
% apply(s,t),b),X),
% f(apply(apply(
% apply(s,t),b),X)))))
% -> (false)
% Current number of equations to process: 1753
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [244]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(apply(s,t),b),X))),
% apply(f(apply(apply(b,X),X)),apply(apply(apply(apply(s,t),b),X),f(apply(
% apply(b,X),X)))))
% -> (false)
% Current number of equations to process: 1779
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [245]
% (eq)(apply(apply(apply(apply(s,b),t),X),f(apply(apply(apply(s,b),t),X))),
% apply(f(apply(apply(apply(s,b),t),X)),apply(X,apply(f(apply(apply(apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 1790
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [246]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,X))),X)),apply(apply(apply(s,
% apply(b,
% f(
% apply(
% apply(b,X),
% apply(t,X))))),
% f(apply(
% apply(b,X),
% apply(t,X)))),X))
% -> (false)
% Current number of equations to process: 1822
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [247]
% (eq)(apply(apply(apply(apply(s,b),t),X),f(apply(apply(b,X),apply(t,X)))),
% apply(f(apply(apply(b,X),apply(t,X))),apply(X,apply(f(apply(apply(b,X),
% apply(t,X))),X)))) ->
% (false)
% Current number of equations to process: 1834
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [248]
% (eq)(apply(apply(apply(s,t),apply(t,f(apply(apply(b,apply(t,X)),X)))),X),
% apply(f(apply(apply(b,apply(t,X)),X)),apply(apply(X,f(apply(apply(b,apply(t,X)),X))),X)))
% -> (false)
% Current number of equations to process: 1855
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [249]
% (eq)(apply(f(apply(apply(b,apply(t,apply(t,X))),t)),X),apply(f(apply(
% apply(b,
% apply(t,
% apply(t,X))),t)),
% apply(f(apply(
% apply(b,
% apply(t,
% apply(t,X))),t)),X)))
% -> (false)
% Current number of equations to process: 1888
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [250]
% (eq)(apply(X,apply(f(apply(apply(apply(s,b),t),X)),X)),apply(apply(apply(s,
% apply(b,
% f(
% apply(
% apply(b,X),
% apply(t,X))))),
% f(apply(
% apply(b,X),
% apply(t,X)))),X))
% -> (false)
% Current number of equations to process: 1895
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [251]
% (eq)(apply(apply(apply(apply(s,b),t),X),f(apply(apply(apply(s,b),t),X))),
% apply(f(apply(apply(b,X),apply(t,X))),apply(X,apply(f(apply(apply(b,X),
% apply(t,X))),X)))) ->
% (false)
% Current number of equations to process: 1911
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [252]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,X))),X)),apply(apply(apply(s,
% apply(b,
% f(
% apply(
% apply(
% apply(s,b),t),X)))),
% f(apply(
% apply(b,X),
% apply(t,X)))),X))
% -> (false)
% Current number of equations to process: 1922
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [253]
% (eq)(apply(apply(apply(apply(s,b),t),X),f(apply(apply(b,X),apply(t,X)))),
% apply(f(apply(apply(apply(s,b),t),X)),apply(X,apply(f(apply(apply(b,X),
% apply(t,X))),X)))) ->
% (false)
% Current number of equations to process: 1933
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [254]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,X))),X)),apply(apply(apply(s,
% apply(b,
% f(
% apply(
% apply(b,X),
% apply(t,X))))),
% f(apply(
% apply(
% apply(s,b),t),X))),X))
% -> (false)
% Current number of equations to process: 1944
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [255]
% (eq)(apply(apply(apply(apply(s,b),t),X),f(apply(apply(b,X),apply(t,X)))),
% apply(f(apply(apply(b,X),apply(t,X))),apply(X,apply(f(apply(apply(apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 1955
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [256]
% (eq)(apply(X,apply(f(apply(apply(apply(s,b),t),X)),X)),apply(apply(apply(s,
% apply(b,
% f(
% apply(
% apply(b,X),
% apply(t,X))))),
% f(apply(
% apply(
% apply(s,b),t),X))),X))
% -> (false)
% Current number of equations to process: 1970
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [257]
% (eq)(apply(apply(apply(apply(s,b),t),X),f(apply(apply(apply(s,b),t),X))),
% apply(f(apply(apply(b,X),apply(t,X))),apply(X,apply(f(apply(apply(apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 1981
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [258]
% (eq)(apply(X,apply(f(apply(apply(apply(s,b),t),X)),X)),apply(apply(apply(s,
% apply(b,
% f(
% apply(
% apply(
% apply(s,b),t),X)))),
% f(apply(
% apply(b,X),
% apply(t,X)))),X))
% -> (false)
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [259]
% (eq)(apply(apply(apply(apply(s,b),t),X),f(apply(apply(apply(s,b),t),X))),
% apply(f(apply(apply(apply(s,b),t),X)),apply(X,apply(f(apply(apply(b,X),
% apply(t,X))),X)))) ->
% (false)
% Current number of equations to process: 2000
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [260]
% (eq)(apply(X,apply(f(apply(apply(b,X),apply(t,X))),X)),apply(apply(apply(s,
% apply(b,
% f(
% apply(
% apply(
% apply(s,b),t),X)))),
% f(apply(
% apply(
% apply(s,b),t),X))),X))
% -> (false)
% Current number of equations to process: 2008
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [261]
% (eq)(apply(apply(apply(apply(s,b),t),X),f(apply(apply(b,X),apply(t,X)))),
% apply(f(apply(apply(apply(s,b),t),X)),apply(X,apply(f(apply(apply(apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 2016
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [262]
% (eq)(apply(X,apply(f(apply(apply(apply(s,b),t),X)),X)),apply(apply(apply(s,
% apply(b,
% f(
% apply(
% apply(
% apply(s,b),t),X)))),
% f(apply(
% apply(
% apply(s,b),t),X))),X))
% -> (false)
% Current number of equations to process: 2031
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [263]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),b)),
% apply(X,apply(X,
% f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 2059
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [264]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(b,X),X)),
% apply(X,apply(X,
% f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),b))))))
% -> (false)
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [265]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),b))),apply(
% f(apply(
% apply(b,X),X)),
% apply(X,
% apply(X,
% f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 2112
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [266]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(f(apply(apply(b,X),X)),apply(apply(apply(apply(s,t),b),X),f(apply(
% apply(b,X),X)))))
% -> (false)
% Current number of equations to process: 2142
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [267]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(f(apply(apply(apply(s,t),b),X)),apply(X,apply(X,f(apply(apply(apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [268]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t),f(apply(X,X)))))
% -> (false)
% Current number of equations to process: 2129
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [269]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(X,X),f(apply(apply(apply(
% apply(s,t),b),
% apply(t,X)),t)))))
% -> (false)
% Current number of equations to process: 2129
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [270]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t)),apply(
% apply(
% apply(
% apply(s,t),t),X),
% f(
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 2228
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [271]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(s,t),t),X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)))))
% -> (false)
% Current number of equations to process: 2228
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [272]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t)),apply(
% apply(X,X),
% f(
% apply(
% apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2317
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [273]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [274]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))),apply(
% f(apply(
% apply(
% apply(s,t),t),X)),
% apply(
% apply(X,X),
% f(apply(X,X)))))
% -> (false)
% Current number of equations to process: 2407
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [275]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2445
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [276]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))),apply(
% f(apply(X,X)),
% apply(
% apply(
% apply(
% apply(s,t),t),X),
% f(apply(X,X)))))
% -> (false)
% Current number of equations to process: 2486
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [277]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2525
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [278]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))),apply(
% f(apply(X,X)),
% apply(
% apply(X,X),
% f(apply(
% apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2564
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [279]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [280]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(apply(apply(apply(s,t),b),apply(t,X)),t)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2639
% Current number of ordered equations: 2
% Current number of rules: 222
% New rule produced :
% [281]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 2639
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [282]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))))) -> (false)
% Current number of equations to process: 2639
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [283]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(apply(apply(s,t),t),X),
% f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [284]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(apply(apply(s,t),t),X),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 2789
% Current number of ordered equations: 1
% Current number of rules: 226
% New rule produced :
% [285]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(apply(apply(s,t),t),X),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 2789
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [286]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2859
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced :
% [287]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2859
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [288]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2925
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [289]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2925
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [290]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(apply(apply(s,t),t),X),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 2977
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [291]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 2977
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [292]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 3022
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [293]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(apply(apply(apply(s,t),b),apply(t,X)),t)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 3036
% Current number of ordered equations: 2
% Current number of rules: 235
% New rule produced :
% [294]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 3036
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [295]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))))) -> (false)
% Current number of equations to process: 3036
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [296]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(apply(apply(apply(s,t),b),apply(t,X)),t)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 3175
% Current number of ordered equations: 2
% Current number of rules: 238
% New rule produced :
% [297]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 3175
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [298]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))))) -> (false)
% Current number of equations to process: 3175
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [299]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t),f(
% apply(
% apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 3314
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [300]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,apply(t,X))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 3359
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [301]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 3359
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [302]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 3408
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [303]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t)))))
% -> (false)
% Current number of equations to process: 3451
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [304]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 3488
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [305]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 3533
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [306]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t)))))
% -> (false)
% Current number of equations to process: 3575
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [307]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,
% apply(t,X)))),t))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 3612
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [308]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,apply(t,X)))),t),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 3663
% Current number of ordered equations: 1
% Current number of rules: 250
% New rule produced :
% [309]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,
% apply(t,X)))),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 3708
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [310]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,apply(t,X)))),t),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 3758
% Current number of ordered equations: 1
% Current number of rules: 252
% New rule produced :
% [311]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,
% apply(t,X)))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 3799
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [312]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,apply(t,apply(t,X))))),t),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 3848
% Current number of ordered equations: 1
% Current number of rules: 254
% New rule produced :
% [313]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,apply(t,X)))),t),
% f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [314]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,
% apply(t,
% apply(t,X))))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 3946
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [315]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(apply(s,t),b),
% apply(t,apply(t,apply(t,X)))),t)),
% apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 3983
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [316]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,
% apply(t,X)))),t),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4043
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [317]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,
% apply(t,X)))),t)))))
% -> (false)
% Current number of equations to process: 4099
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [318]
% (eq)(apply(apply(apply(apply(s,b),t),X),apply(t,f(apply(apply(b,X),X)))),
% apply(f(apply(apply(b,X),X)),apply(apply(apply(apply(s,t),b),X),f(apply(
% apply(b,X),X)))))
% -> (false)
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [319]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(b,X),X)),
% apply(apply(apply(
% apply(s,b),t),X),
% apply(t,f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 4192
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [320]
% (eq)(apply(apply(apply(apply(s,b),t),X),apply(t,f(apply(apply(b,X),X)))),
% apply(f(apply(apply(apply(s,t),b),X)),apply(X,apply(X,f(apply(apply(apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 4230
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [321]
% apply(apply(X,apply(Y,Z)),Z) <->
% apply(apply(apply(s,t),apply(apply(b,X),Y)),Z)
% Current number of equations to process: 4225
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [322]
% apply(apply(apply(s,t),apply(apply(b,X),Y)),Z) <->
% apply(apply(X,apply(Y,Z)),Z)
% Current number of equations to process: 4225
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [323] apply(X,apply(Y,X)) <-> apply(apply(apply(s,t),apply(apply(b,t),Y)),X)
% Rule
% [234] apply(X,apply(X,X)) <-> apply(apply(apply(s,t),apply(apply(b,t),X)),X)
% collapsed.
% Current number of equations to process: 4349
% Current number of ordered equations: 1
% Current number of rules: 264
% New rule produced :
% [324] apply(apply(apply(s,t),apply(apply(b,t),Y)),X) <-> apply(X,apply(Y,X))
% Rule
% [235] apply(apply(apply(s,t),apply(apply(b,t),X)),X) <-> apply(X,apply(X,X))
% collapsed.
% Current number of equations to process: 4349
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [325]
% (eq)(apply(apply(X,f(apply(apply(apply(s,t),apply(apply(b,b),t)),X))),X),
% apply(f(apply(apply(b,apply(t,X)),X)),apply(apply(X,f(apply(apply(b,apply(t,X)),X))),X)))
% -> (false)
% Current number of equations to process: 4433
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [326]
% apply(apply(apply(X,Y),Y),Y) <->
% apply(apply(apply(s,t),apply(apply(s,t),X)),Y)
% Current number of equations to process: 4778
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [327]
% apply(apply(apply(s,t),apply(apply(s,t),X)),Y) <->
% apply(apply(apply(X,Y),Y),Y)
% Current number of equations to process: 4778
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [328]
% apply(apply(X,Y),apply(apply(apply(s,t),t),Y)) ->
% apply(apply(apply(s,X),Y),Y)
% Current number of equations to process: 4976
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [329]
% apply(apply(apply(apply(s,t),t),X),apply(Y,X)) ->
% apply(apply(apply(s,X),Y),X)
% Current number of equations to process: 4976
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [330]
% apply(apply(X,Y),apply(Y,Y)) <->
% apply(apply(apply(s,X),apply(apply(s,t),t)),Y)
% Current number of equations to process: 2282
% Current number of ordered equations: 3
% Current number of rules: 270
% New rule produced :
% [331]
% apply(apply(X,X),apply(Y,X)) <->
% apply(apply(apply(s,apply(apply(s,t),t)),Y),X)
% Current number of equations to process: 2282
% Current number of ordered equations: 2
% Current number of rules: 271
% New rule produced :
% [332]
% apply(apply(apply(s,apply(apply(s,t),t)),Y),X) <->
% apply(apply(X,X),apply(Y,X))
% Current number of equations to process: 2282
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [333]
% apply(apply(apply(s,X),apply(apply(s,t),t)),Y) <->
% apply(apply(X,Y),apply(Y,Y))
% Current number of equations to process: 2282
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [334]
% (eq)(apply(X,apply(apply(Y,X),f(apply(apply(apply(s,b),Y),X)))),apply(
% f(apply(
% apply(b,X),
% apply(Y,X))),
% apply(X,
% apply(
% apply(Y,X),
% f(apply(
% apply(b,X),
% apply(Y,X)))))))
% -> (false)
% Current number of equations to process: 3436
% Current number of ordered equations: 2
% Current number of rules: 274
% New rule produced :
% [335]
% (eq)(apply(X,apply(apply(Y,X),f(apply(apply(b,X),apply(Y,X))))),apply(
% f(apply(
% apply(
% apply(s,b),Y),X)),
% apply(X,
% apply(
% apply(Y,X),
% f(apply(
% apply(b,X),
% apply(Y,X)))))))
% -> (false)
% Current number of equations to process: 3436
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [336]
% (eq)(apply(X,apply(apply(Y,X),f(apply(apply(b,X),apply(Y,X))))),apply(
% f(apply(
% apply(b,X),
% apply(Y,X))),
% apply(X,
% apply(
% apply(Y,X),
% f(apply(
% apply(
% apply(s,b),Y),X))))))
% -> (false)
% Current number of equations to process: 3436
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [337]
% apply(apply(X,Y),apply(t,Y)) <->
% apply(apply(apply(s,t),apply(t,X)),apply(t,Y))
% Current number of equations to process: 4401
% Current number of ordered equations: 1
% Current number of rules: 277
% New rule produced :
% [338]
% apply(apply(apply(s,t),apply(t,X)),apply(t,Y)) <->
% apply(apply(X,Y),apply(t,Y))
% Current number of equations to process: 4401
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [339] apply(X,X) <-> apply(apply(apply(s,t),apply(t,t)),apply(t,X))
% Current number of equations to process: 4428
% Current number of ordered equations: 1
% Current number of rules: 279
% New rule produced :
% [340] apply(apply(apply(s,t),apply(t,t)),apply(t,X)) <-> apply(X,X)
% Current number of equations to process: 4428
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [341]
% (eq)(apply(X,apply(f(apply(apply(apply(s,t),apply(t,b)),apply(t,X))),X)),
% apply(f(apply(apply(b,X),apply(t,X))),apply(X,apply(f(apply(apply(b,X),
% apply(t,X))),X)))) ->
% (false)
% Current number of equations to process: 4545
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [342]
% (eq)(apply(X,apply(f(apply(apply(apply(s,t),apply(t,b)),apply(t,X))),X)),
% apply(f(apply(apply(apply(s,b),t),X)),apply(X,apply(f(apply(apply(b,X),
% apply(t,X))),X)))) ->
% (false)
% Current number of equations to process: 4544
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [343]
% (eq)(apply(X,apply(f(apply(apply(apply(s,t),apply(t,b)),apply(t,X))),X)),
% apply(f(apply(apply(b,X),apply(t,X))),apply(X,apply(f(apply(apply(apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 4543
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [344]
% (eq)(apply(X,apply(f(apply(apply(apply(s,t),apply(t,b)),apply(t,X))),X)),
% apply(f(apply(apply(apply(s,b),t),X)),apply(X,apply(f(apply(apply(apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 4542
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [345]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4747
% Current number of ordered equations: 1
% Current number of rules: 285
% New rule produced :
% [346]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4747
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [347]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4745
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [348]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4745
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [349]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 4743
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [350]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 4743
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [351]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 4914
% Current number of ordered equations: 3
% Current number of rules: 291
% New rule produced :
% [352]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(
% apply(
% apply(s,t),
% apply(t,t)),
% apply(t,X))),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4914
% Current number of ordered equations: 2
% Current number of rules: 292
% New rule produced :
% [353]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,X)),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4914
% Current number of ordered equations: 1
% Current number of rules: 293
% New rule produced :
% [354]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,X)))))) ->
% (false)
% Current number of equations to process: 4914
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [355]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4910
% Current number of ordered equations: 3
% Current number of rules: 295
% New rule produced :
% [356]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(
% apply(
% apply(s,t),
% apply(t,t)),
% apply(t,X))),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4910
% Current number of ordered equations: 2
% Current number of rules: 296
% New rule produced :
% [357]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,X)),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4910
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [358]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,X)))))) ->
% (false)
% Current number of equations to process: 4910
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [359] apply(apply(apply(s,apply(s,t)),t),apply(t,t)) -> apply(t,t)
% Current number of equations to process: 1712
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [360]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1740
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [361]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(X,X),f(apply(apply(apply(s,t),
% apply(t,t)),
% apply(t,X)))))) ->
% (false)
% Current number of equations to process: 1740
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [362]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X))),apply(apply(
% apply(
% apply(s,t),t),X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1738
% Current number of ordered equations: 1
% Current number of rules: 302
% New rule produced :
% [363]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(s,t),t),X),
% f(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,X)))))) ->
% (false)
% Current number of equations to process: 1738
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [364]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X))),apply(apply(X,X),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 1736
% Current number of ordered equations: 1
% Current number of rules: 304
% New rule produced :
% [365]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(s,t),
% apply(t,t)),
% apply(t,X)),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 1736
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [366]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)))),apply(f(apply(
% apply(
% apply(s,t),t),X)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1735
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [367]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1734
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [368]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(s,t),t),X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1733
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [369]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1732
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [370]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 1731
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [371]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 1730
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [372]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(apply(apply(s,t),apply(t,t)),apply(t,X))),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1727
% Current number of ordered equations: 2
% Current number of rules: 312
% New rule produced :
% [373]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 1727
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [374]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)))))) -> (false)
% Current number of equations to process: 1727
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [375]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(apply(apply(s,t),t),X),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 1725
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [376]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(apply(apply(s,t),t),X),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 1725
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [377]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 1723
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [378]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 1723
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [379]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 1721
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced :
% [380]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [381]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),apply(t,t)),apply(t,X))),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1718
% Current number of ordered equations: 2
% Current number of rules: 321
% New rule produced :
% [382]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 1718
% Current number of ordered equations: 1
% Current number of rules: 322
% New rule produced :
% [383]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)))))) -> (false)
% Current number of equations to process: 1718
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [384]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(apply(apply(s,t),apply(t,t)),apply(t,X))),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1715
% Current number of ordered equations: 2
% Current number of rules: 324
% New rule produced :
% [385]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 1715
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [386]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)))))) -> (false)
% Current number of equations to process: 1715
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [387]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(apply(apply(apply(s,t),b),apply(t,X)),t)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1713
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [388]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(apply(apply(apply(s,t),b),apply(t,X)),t)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1713
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [389]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 1711
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [390]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 1711
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [391]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))))) -> (false)
% Current number of equations to process: 1709
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [392]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))))) -> (false)
% Current number of equations to process: 1709
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [393]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 1801
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [394]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,X))),f(
% apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1814
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [395]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 1836
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [396]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,X))))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1851
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [397]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,X))),f(
% apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1884
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [398]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,X))))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1920
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [399]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,X))),f(
% apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 1954
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [400]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,X))))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [401]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X))),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2054
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [402]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(s,t),
% apply(t,t)),
% apply(t,X)),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2099
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [403]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),
% f(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,X)))))) ->
% (false)
% Current number of equations to process: 2145
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [404]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,X))),f(
% apply(
% apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 2401
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [405]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(
% apply(
% apply(s,t),
% apply(t,t)),
% apply(t,
% apply(t,X)))),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2400
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [406]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,
% apply(t,X))),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2399
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [407]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,apply(t,X)))))))
% -> (false)
% Current number of equations to process: 2398
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [408]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,apply(t,X))))),apply(
% f(apply(X,X)),
% apply(
% apply(X,X),
% f(apply(X,X)))))
% -> (false)
% Current number of equations to process: 2397
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [409]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(
% apply(
% apply(s,t),
% apply(t,t)),
% apply(t,
% apply(t,X)))),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2396
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [410]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,
% apply(t,X))),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 2395
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [411]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,apply(t,X)))))))
% -> (false)
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [412]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,X))),f(
% apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 3870
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [413]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,X))))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 3963
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [414]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,apply(t,X)))),apply(
% apply(X,X),
% f(
% apply(X,X)))))
% -> (false)
% Current number of equations to process: 4260
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [415]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(s,t),
% apply(t,t)),
% apply(t,
% apply(t,X))),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [416]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),
% f(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,apply(t,X)))))))
% -> (false)
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [417]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),apply(t,t)),apply(t,X))),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4397
% Current number of ordered equations: 2
% Current number of rules: 357
% New rule produced :
% [418]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 4397
% Current number of ordered equations: 1
% Current number of rules: 358
% New rule produced :
% [419]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)))))) -> (false)
% Current number of equations to process: 4397
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [420]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,apply(t,X)))),
% f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4396
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [421]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(apply(apply(s,t),apply(t,t)),apply(t,X))),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4393
% Current number of ordered equations: 2
% Current number of rules: 361
% New rule produced :
% [422]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 4393
% Current number of ordered equations: 1
% Current number of rules: 362
% New rule produced :
% [423]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)))))) -> (false)
% Current number of equations to process: 4393
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [424]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,
% apply(t,X)))))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4392
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [425]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,apply(t,X)))),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),
% f(apply(X,X))))) -> (false)
% Current number of equations to process: 4391
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [426]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,
% apply(t,X)))))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4390
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [427]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,apply(t,X)))),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false)
% Current number of equations to process: 4389
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [428]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,
% apply(t,X)))))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false)
% Current number of equations to process: 4388
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [429]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,apply(t,X)))),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 4784
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [430]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,
% apply(t,X)))))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 4830
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [431]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,apply(t,apply(t,X))))),
% apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 968
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [432]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(s,t),
% apply(t,t)),
% apply(t,
% apply(t,
% apply(t,X)))),
% f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 967
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [433]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),
% f(apply(apply(
% apply(s,t),
% apply(t,t)),
% apply(t,apply(t,
% apply(t,X))))))))
% -> (false)
% Current number of equations to process: 966
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [434]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,apply(t,
% apply(t,X))))),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false)
% Current number of equations to process: 1695
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [435]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,apply(t,
% apply(t,
% apply(t,X))))))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false)
% Current number of equations to process: 1694
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [436]
% apply(X,apply(Y,apply(b,X))) <->
% apply(apply(apply(s,t),apply(t,Y)),apply(b,X))
% Current number of equations to process: 1966
% Current number of ordered equations: 1
% Current number of rules: 376
% New rule produced :
% [437]
% apply(apply(apply(s,t),apply(t,Y)),apply(b,X)) <->
% apply(X,apply(Y,apply(b,X)))
% Current number of equations to process: 1966
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [438]
% apply(apply(X,X),apply(t,X)) <->
% apply(apply(apply(s,t),apply(s,t)),apply(t,X))
% Current number of equations to process: 2161
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [439]
% apply(apply(apply(s,t),apply(s,t)),apply(t,X)) <->
% apply(apply(X,X),apply(t,X))
% Current number of equations to process: 2161
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [440]
% apply(Y,apply(Y,apply(X,Y))) <->
% apply(apply(apply(s,apply(apply(s,t),b)),X),Y)
% Current number of equations to process: 2239
% Current number of ordered equations: 1
% Current number of rules: 380
% New rule produced :
% [441]
% apply(apply(apply(s,apply(apply(s,t),b)),X),Y) <->
% apply(Y,apply(Y,apply(X,Y)))
% Current number of equations to process: 2239
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [442]
% apply(apply(Y,X),apply(Y,Y)) <->
% apply(apply(apply(s,t),apply(s,apply(t,X))),Y)
% Current number of equations to process: 2490
% Current number of ordered equations: 1
% Current number of rules: 382
% New rule produced :
% [443]
% apply(apply(apply(s,t),apply(s,apply(t,X))),Y) <->
% apply(apply(Y,X),apply(Y,Y))
% Current number of equations to process: 2490
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [444]
% apply(apply(X,Y),apply(X,Z)) <->
% apply(apply(apply(s,apply(t,Y)),apply(t,Z)),X)
% Current number of equations to process: 3337
% Current number of ordered equations: 1
% Current number of rules: 384
% New rule produced :
% [445]
% apply(apply(apply(s,apply(t,Y)),apply(t,Z)),X) <->
% apply(apply(X,Y),apply(X,Z))
% Current number of equations to process: 3337
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [446]
% apply(X,apply(Y,apply(Y,Z))) <->
% apply(apply(apply(s,apply(b,X)),apply(t,Z)),Y)
% Current number of equations to process: 4329
% Current number of ordered equations: 3
% Current number of rules: 386
% New rule produced :
% [447]
% apply(Y,apply(apply(Y,X),Z)) <->
% apply(apply(apply(apply(s,b),apply(t,X)),Y),Z)
% Current number of equations to process: 4329
% Current number of ordered equations: 2
% Current number of rules: 387
% New rule produced :
% [448]
% apply(apply(apply(apply(s,b),apply(t,X)),Y),Z) <->
% apply(Y,apply(apply(Y,X),Z))
% Current number of equations to process: 4329
% Current number of ordered equations: 1
% Current number of rules: 388
% New rule produced :
% [449]
% apply(apply(apply(s,apply(b,X)),apply(t,Z)),Y) <->
% apply(X,apply(Y,apply(Y,Z)))
% Current number of equations to process: 4329
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [450]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(apply(apply(s,apply(b,
% f(apply(
% apply(b,X),X)))),
% apply(t,f(apply(apply(b,X),X)))),X))
% -> (false)
% Current number of equations to process: 4449
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [451]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(apply(apply(s,
% apply(b,
% f(
% apply(
% apply(b,X),X)))),
% apply(t,
% f(apply(
% apply(b,X),X)))),X))
% -> (false)
% Current number of equations to process: 4483
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [452]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(b,X),X))),apply(
% apply(
% apply(s,
% apply(b,
% f(apply(
% apply(b,X),X)))),
% apply(t,
% f(apply(
% apply(b,X),X)))),X))
% -> (false)
% Current number of equations to process: 4573
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [453]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(apply(apply(s,apply(b,
% f(apply(
% apply(
% apply(s,t),b),X)))),
% apply(t,f(apply(apply(b,X),X)))),X))
% -> (false)
% Current number of equations to process: 4572
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [454]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(apply(apply(s,apply(b,
% f(apply(
% apply(b,X),X)))),
% apply(t,f(apply(apply(
% apply(s,t),b),X)))),X))
% -> (false)
% Current number of equations to process: 4571
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [455]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(apply(s,t),b),X))),
% apply(apply(apply(s,apply(b,f(apply(apply(b,X),X)))),apply(t,f(apply(
% apply(b,X),X)))),X))
% -> (false)
% Current number of equations to process: 1295
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [456]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(apply(apply(s,
% apply(b,
% f(
% apply(
% apply(
% apply(s,t),b),X)))),
% apply(t,
% f(apply(
% apply(b,X),X)))),X))
% -> (false)
% Current number of equations to process: 1294
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [457]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(apply(apply(s,
% apply(b,
% f(
% apply(
% apply(b,X),X)))),
% apply(t,
% f(apply(
% apply(
% apply(s,t),b),X)))),X))
% -> (false)
% Current number of equations to process: 1293
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [458]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(apply(apply(s,apply(b,f(apply(apply(b,X),X)))),apply(t,f(apply(
% apply(b,X),X)))),X))
% -> (false)
% Current number of equations to process: 1292
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [459]
% (eq)(apply(apply(apply(apply(s,b),t),X),apply(t,f(apply(apply(b,X),X)))),
% apply(apply(apply(s,apply(b,f(apply(apply(b,X),X)))),apply(t,f(apply(
% apply(b,X),X)))),X))
% -> (false)
% Current number of equations to process: 1291
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [460]
% apply(Z,apply(Y,apply(X,Y))) <->
% apply(apply(apply(apply(s,apply(b,t)),X),Y),Z)
% Current number of equations to process: 2998
% Current number of ordered equations: 3
% Current number of rules: 400
% New rule produced :
% [461]
% apply(apply(X,apply(Y,X)),Z) <->
% apply(apply(apply(s,apply(b,apply(t,Z))),Y),X)
% Current number of equations to process: 2998
% Current number of ordered equations: 2
% Current number of rules: 401
% New rule produced :
% [462]
% apply(apply(apply(apply(s,apply(b,t)),X),Y),Z) <->
% apply(Z,apply(Y,apply(X,Y)))
% Current number of equations to process: 2998
% Current number of ordered equations: 1
% Current number of rules: 402
% New rule produced :
% [463]
% apply(apply(apply(s,apply(b,apply(t,Z))),Y),X) <->
% apply(apply(X,apply(Y,X)),Z)
% Current number of equations to process: 2998
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [464]
% (eq)(apply(apply(apply(s,apply(b,apply(t,f(apply(X,apply(Y,X)))))),Y),X),
% apply(f(apply(X,apply(Y,X))),apply(apply(X,apply(Y,X)),f(apply(X,apply(Y,X))))))
% -> (false)
% Current number of equations to process: 4862
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [465]
% (eq)(apply(apply(X,apply(Y,X)),f(apply(X,apply(Y,X)))),apply(f(apply(X,
% apply(Y,X))),
% apply(apply(apply(s,
% apply(b,
% apply(t,
% f(
% apply(X,
% apply(Y,X)))))),Y),X)))
% -> (false)
% Current number of equations to process: 2512
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [466]
% (eq)(apply(apply(apply(s,apply(b,apply(t,f(apply(X,apply(X,Y)))))),apply(t,Y)),X),
% apply(f(apply(X,apply(X,Y))),apply(apply(X,apply(X,Y)),f(apply(X,apply(X,Y))))))
% -> (false)
% Current number of equations to process: 3635
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [467]
% (eq)(apply(apply(apply(s,t),apply(s,apply(b,apply(t,f(apply(X,apply(X,X))))))),X),
% apply(f(apply(X,apply(X,X))),apply(apply(X,apply(X,X)),f(apply(X,apply(X,X))))))
% -> (false)
% Current number of equations to process: 3634
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [468]
% apply(X,apply(Y,apply(X,Z))) <->
% apply(apply(apply(apply(s,b),apply(b,Y)),X),Z)
% Current number of equations to process: 4685
% Current number of ordered equations: 1
% Current number of rules: 408
% New rule produced :
% [469]
% apply(apply(apply(apply(s,b),apply(b,Y)),X),Z) <->
% apply(X,apply(Y,apply(X,Z)))
% Current number of equations to process: 4685
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [470]
% apply(X,apply(apply(X,Y),Y)) <->
% apply(apply(apply(apply(s,b),apply(s,t)),X),Y)
% Current number of equations to process: 1915
% Current number of ordered equations: 1
% Current number of rules: 410
% New rule produced :
% [471]
% apply(apply(apply(apply(s,b),apply(s,t)),X),Y) <->
% apply(X,apply(apply(X,Y),Y))
% Current number of equations to process: 1915
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [472]
% apply(X,apply(apply(X,X),Y)) <->
% apply(apply(apply(apply(s,t),apply(s,b)),X),Y)
% Current number of equations to process: 2312
% Current number of ordered equations: 3
% Current number of rules: 412
% New rule produced :
% [473]
% apply(Y,apply(apply(X,Y),Y)) <->
% apply(apply(apply(s,t),apply(apply(s,b),X)),Y)
% Current number of equations to process: 2312
% Current number of ordered equations: 2
% Current number of rules: 413
% New rule produced :
% [474]
% apply(apply(apply(apply(s,t),apply(s,b)),X),Y) <->
% apply(X,apply(apply(X,X),Y))
% Current number of equations to process: 2312
% Current number of ordered equations: 1
% Current number of rules: 414
% New rule produced :
% [475]
% apply(apply(apply(s,t),apply(apply(s,b),X)),Y) <->
% apply(Y,apply(apply(X,Y),Y))
% Current number of equations to process: 2312
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [476]
% apply(X,apply(Y,apply(Y,Y))) <->
% apply(apply(apply(s,t),apply(s,apply(b,X))),Y)
% Current number of equations to process: 2955
% Current number of ordered equations: 1
% Current number of rules: 416
% New rule produced :
% [477]
% apply(apply(apply(s,t),apply(s,apply(b,X))),Y) <->
% apply(X,apply(Y,apply(Y,Y)))
% Current number of equations to process: 2955
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [478]
% apply(apply(apply(apply(s,b),t),apply(t,Y)),X) <->
% apply(apply(X,apply(t,Y)),Y)
% Current number of equations to process: 4783
% Current number of ordered equations: 1
% Current number of rules: 418
% New rule produced :
% [479]
% apply(apply(X,apply(t,Y)),Y) <->
% apply(apply(apply(apply(s,b),t),apply(t,Y)),X)
% Current number of equations to process: 4783
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [480] apply(apply(apply(apply(s,b),t),apply(t,X)),t) <-> apply(X,apply(t,X))
% Current number of equations to process: 4969
% Current number of ordered equations: 1
% Current number of rules: 420
% New rule produced :
% [481] apply(X,apply(t,X)) <-> apply(apply(apply(apply(s,b),t),apply(t,X)),t)
% Current number of equations to process: 4969
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [482]
% (eq)(apply(apply(X,f(apply(apply(apply(apply(s,b),t),apply(t,X)),b))),X),
% apply(f(apply(apply(b,apply(t,X)),X)),apply(apply(X,f(apply(apply(b,apply(t,X)),X))),X)))
% -> (false)
% Current number of equations to process: 2145
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [483]
% apply(apply(apply(s,apply(apply(s,b),t)),X),Y) <->
% apply(Y,apply(apply(X,Y),Y))
% Current number of equations to process: 2477
% Current number of ordered equations: 1
% Current number of rules: 423
% New rule produced :
% [484]
% apply(Y,apply(apply(X,Y),Y)) <->
% apply(apply(apply(s,apply(apply(s,b),t)),X),Y)
% Current number of equations to process: 2477
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [485]
% apply(apply(apply(s,t),apply(apply(s,t),s)),X) <->
% apply(apply(X,X),apply(X,X))
% Current number of equations to process: 2835
% Current number of ordered equations: 1
% Current number of rules: 425
% New rule produced :
% [486]
% apply(apply(X,X),apply(X,X)) <->
% apply(apply(apply(s,t),apply(apply(s,t),s)),X)
% Current number of equations to process: 2835
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [487]
% apply(apply(apply(s,t),X),X) <->
% apply(apply(apply(s,t),apply(apply(s,t),t)),X)
% Current number of equations to process: 3686
% Current number of ordered equations: 1
% Current number of rules: 427
% New rule produced :
% [488]
% apply(apply(apply(s,t),apply(apply(s,t),t)),X) <->
% apply(apply(apply(s,t),X),X)
% Current number of equations to process: 3686
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [489]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(t,apply(apply(
% apply(s,t),t),X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 3893
% Current number of ordered equations: 1
% Current number of rules: 429
% New rule produced :
% [490]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(t,apply(X,X))),
% apply(apply(apply(s,t),t),X))))
% -> (false)
% Current number of equations to process: 3893
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [491]
% (eq)(apply(f(apply(t,apply(X,X))),apply(X,X)),apply(f(apply(t,apply(X,X))),
% apply(f(apply(t,apply(apply(
% apply(s,t),t),X))),
% apply(apply(apply(s,t),t),X))))
% -> (false)
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [492]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(apply(s,t),b),X)),
% apply(apply(apply(apply(s,t),b),X),
% f(apply(apply(apply(s,t),b),X)))))
% -> (false)
% Current number of equations to process: 4107
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [493]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(b,X),X))),apply(
% f(apply(
% apply(
% apply(s,t),b),X)),
% apply(
% apply(
% apply(
% apply(s,t),b),X),
% f(apply(
% apply(b,X),X)))))
% -> (false)
% Current number of equations to process: 4145
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [494]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(b,X),X))),apply(
% f(apply(
% apply(b,X),X)),
% apply(
% apply(
% apply(
% apply(s,t),b),X),
% f(apply(
% apply(
% apply(s,t),b),X)))))
% -> (false)
% Current number of equations to process: 4191
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [495]
% apply(apply(apply(s,X),X),X) <->
% apply(apply(apply(s,t),apply(s,apply(t,X))),X)
% Current number of equations to process: 4238
% Current number of ordered equations: 1
% Current number of rules: 435
% New rule produced :
% [496]
% apply(apply(apply(s,t),apply(s,apply(t,X))),X) <->
% apply(apply(apply(s,X),X),X)
% Current number of equations to process: 4238
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [497]
% apply(apply(X,X),apply(X,X)) <->
% apply(apply(apply(s,t),apply(apply(s,s),t)),X)
% Current number of equations to process: 4426
% Current number of ordered equations: 1
% Current number of rules: 437
% New rule produced :
% [498]
% apply(apply(apply(s,t),apply(apply(s,s),t)),X) <->
% apply(apply(X,X),apply(X,X))
% Current number of equations to process: 4426
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [499]
% apply(apply(apply(s,X),X),X) <->
% apply(apply(apply(s,t),apply(apply(s,s),t)),X)
% Current number of equations to process: 2726
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced :
% [500]
% apply(apply(apply(s,t),apply(apply(s,s),t)),X) <->
% apply(apply(apply(s,X),X),X)
% Current number of equations to process: 2726
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [501]
% (eq)(apply(f(apply(t,apply(apply(apply(s,t),t),X))),apply(apply(apply(s,t),t),X)),
% apply(f(apply(t,apply(apply(apply(s,t),t),X))),apply(f(apply(t,apply(X,X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2930
% Current number of ordered equations: 2
% Current number of rules: 441
% New rule produced :
% [502]
% (eq)(apply(f(apply(t,apply(apply(apply(s,t),t),X))),apply(apply(apply(s,t),t),X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(apply(apply(s,t),t),X))),
% apply(X,X)))) -> (false)
% Current number of equations to process: 2930
% Current number of ordered equations: 1
% Current number of rules: 442
% New rule produced :
% [503]
% (eq)(apply(f(apply(t,apply(apply(apply(s,t),t),X))),apply(apply(apply(s,t),t),X)),
% apply(f(apply(t,apply(X,X))),apply(f(apply(t,apply(X,X))),apply(apply(
% apply(s,t),t),X))))
% -> (false)
% Current number of equations to process: 2930
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [504]
% apply(apply(apply(apply(s,t),b),apply(t,X)),X) ->
% apply(apply(apply(s,t),X),X)
% Current number of equations to process: 3069
% Current number of ordered equations: 0
% Current number of rules: 444
% Rule [97] apply(X,X) <-> apply(apply(apply(apply(s,t),b),apply(t,X)),t) is composed into
% [97] apply(X,X) <-> apply(apply(apply(s,t),t),X)
% Rule [94]
% apply(apply(X,Y),Y) <-> apply(apply(apply(apply(s,t),b),apply(t,Y)),X) is composed into
% [94] apply(apply(X,Y),Y) <-> apply(apply(apply(s,t),X),Y)
% New rule produced :
% [505]
% apply(apply(apply(apply(s,t),b),apply(t,Y)),X) ->
% apply(apply(apply(s,t),X),Y)
% Rule
% [95] apply(apply(apply(apply(s,t),b),apply(t,Y)),X) <-> apply(apply(X,Y),Y)
% collapsed.
% Rule
% [96]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(b,X),X)))))) ->
% (false) collapsed.
% Rule [98] apply(apply(apply(apply(s,t),b),apply(t,X)),t) <-> apply(X,X)
% collapsed.
% Rule
% [99]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(f(apply(apply(apply(s,t),b),X)),apply(X,apply(X,f(apply(apply(b,X),X))))))
% -> (false) collapsed.
% Rule
% [100]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(f(apply(apply(b,X),X)),apply(X,apply(X,f(apply(apply(apply(s,t),b),X))))))
% -> (false) collapsed.
% Rule
% [139]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [140]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [142]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [143]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [144]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false) collapsed.
% Rule
% [145]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false) collapsed.
% Rule
% [149]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [150]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [151]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t),f(
% apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [152]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [172]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [173]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [174]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [175]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)))))
% -> (false) collapsed.
% Rule
% [176]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))),apply(
% f(apply(X,X)),
% apply(
% apply(X,X),
% f(apply(X,X)))))
% -> (false) collapsed.
% Rule
% [177]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [178]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [179]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)))))
% -> (false) collapsed.
% Rule
% [186]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t),f(
% apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [187]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [188]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t),f(
% apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [189]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [190]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t),f(
% apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false) collapsed.
% Rule
% [191]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false) collapsed.
% Rule
% [192]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,apply(t,X)))),t),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [193]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,
% apply(t,X)))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [194]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t)),apply(
% apply(X,X),
% f(
% apply(X,X)))))
% -> (false) collapsed.
% Rule
% [195]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [196]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)))))
% -> (false) collapsed.
% Rule
% [197]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(apply(s,t),b),
% apply(t,apply(t,X))),t)),
% apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [198]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [199]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t)))))
% -> (false) collapsed.
% Rule
% [232]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(apply(
% apply(s,t),b),
% apply(t,X)),b)),
% apply(X,apply(X,f(apply(
% apply(b,X),X))))))
% -> (false) collapsed.
% Rule
% [233]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(b,X),X)),
% apply(X,apply(X,f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),b))))))
% -> (false) collapsed.
% Rule
% [263]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),b)),
% apply(X,apply(X,
% f(apply(
% apply(b,X),X))))))
% -> (false) collapsed.
% Rule
% [264]
% (eq)(apply(X,apply(X,f(apply(apply(apply(s,t),b),X)))),apply(f(apply(
% apply(b,X),X)),
% apply(X,apply(X,
% f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),b))))))
% -> (false) collapsed.
% Rule
% [265]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),b))),apply(
% f(apply(
% apply(b,X),X)),
% apply(X,
% apply(X,
% f(apply(
% apply(b,X),X))))))
% -> (false) collapsed.
% Rule
% [266]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(f(apply(apply(b,X),X)),apply(apply(apply(apply(s,t),b),X),f(apply(
% apply(b,X),X)))))
% -> (false) collapsed.
% Rule
% [267]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(f(apply(apply(apply(s,t),b),X)),apply(X,apply(X,f(apply(apply(apply(s,t),b),X))))))
% -> (false) collapsed.
% Rule
% [268]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t),f(apply(X,X)))))
% -> (false) collapsed.
% Rule
% [269]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),
% apply(apply(X,X),f(apply(apply(apply(
% apply(s,t),b),
% apply(t,X)),t)))))
% -> (false) collapsed.
% Rule
% [270]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t)),apply(
% apply(
% apply(
% apply(s,t),t),X),
% f(
% apply(X,X)))))
% -> (false) collapsed.
% Rule
% [271]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(s,t),t),X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t)))))
% -> (false) collapsed.
% Rule
% [272]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t)),apply(
% apply(X,X),
% f(
% apply(
% apply(
% apply(s,t),t),X)))))
% -> (false) collapsed.
% Rule
% [273]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,X)),t),
% f(apply(apply(
% apply(s,t),t),X)))))
% -> (false) collapsed.
% Rule
% [274]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))),apply(
% f(apply(
% apply(
% apply(s,t),t),X)),
% apply(
% apply(X,X),
% f(apply(X,X)))))
% -> (false) collapsed.
% Rule
% [275]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [276]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))),apply(
% f(apply(X,X)),
% apply(
% apply(
% apply(
% apply(s,t),t),X),
% f(apply(X,X)))))
% -> (false) collapsed.
% Rule
% [277]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [278]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))),apply(
% f(apply(X,X)),
% apply(
% apply(X,X),
% f(apply(
% apply(
% apply(s,t),t),X)))))
% -> (false) collapsed.
% Rule
% [279]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false) collapsed.
% Rule
% [280]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(apply(apply(apply(s,t),b),apply(t,X)),t)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [281]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),
% f(apply(X,X))))) -> (false) collapsed.
% Rule
% [282]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))))) -> (false)
% collapsed.
% Rule
% [284]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(apply(apply(s,t),t),X),
% f(apply(X,X))))) -> (false) collapsed.
% Rule
% [285]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(apply(apply(s,t),t),X),
% f(apply(X,X))))) -> (false) collapsed.
% Rule
% [286]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false) collapsed.
% Rule
% [287]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false) collapsed.
% Rule
% [288]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false) collapsed.
% Rule
% [289]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false) collapsed.
% Rule
% [293]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(apply(apply(apply(s,t),b),apply(t,X)),t)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [294]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),
% f(apply(X,X))))) -> (false) collapsed.
% Rule
% [295]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))))) -> (false)
% collapsed.
% Rule
% [296]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(apply(apply(apply(s,t),b),apply(t,X)),t)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [297]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),
% f(apply(X,X))))) -> (false) collapsed.
% Rule
% [298]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))))) -> (false)
% collapsed.
% Rule
% [299]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,X))),t),f(
% apply(
% apply(
% apply(s,t),t),X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [300]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(apply(apply(apply(s,t),b),
% apply(t,apply(t,X))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [301]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [302]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [303]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),t),X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t)))))
% -> (false) collapsed.
% Rule
% [304]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t)),
% apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [305]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [306]
% (eq)(apply(apply(apply(apply(s,t),t),X),f(apply(X,X))),apply(f(apply(X,X)),
% apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,X))),t)))))
% -> (false) collapsed.
% Rule
% [307]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,
% apply(t,X)))),t))),
% apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [308]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,apply(t,X)))),t),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),
% f(apply(X,X))))) -> (false)
% collapsed.
% Rule
% [309]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,
% apply(t,X)))),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),t),X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [310]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,apply(t,X)))),t),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(
% apply(s,t),t),X)))))
% -> (false) collapsed.
% Rule
% [311]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,
% apply(t,X)))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),t),X))))) ->
% (false) collapsed.
% Rule
% [312]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,apply(t,apply(t,X))))),t),
% f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [313]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,apply(t,apply(t,X)))),t),
% f(apply(X,X))),apply(f(apply(apply(apply(s,t),t),X)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [314]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,apply(t,
% apply(t,
% apply(t,X))))),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(X,X))))) -> (false) collapsed.
% Rule
% [315]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(apply(apply(apply(s,t),b),
% apply(t,apply(t,apply(t,X)))),t)),
% apply(apply(X,X),f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [316]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(
% apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,
% apply(t,X)))),t),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [317]
% (eq)(apply(apply(X,X),f(apply(X,X))),apply(f(apply(X,X)),apply(apply(X,X),
% f(apply(apply(
% apply(
% apply(s,t),b),
% apply(t,
% apply(t,
% apply(t,X)))),t)))))
% -> (false) collapsed.
% Rule
% [381]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(apply(apply(s,t),apply(t,t)),apply(t,X))),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [382]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),
% f(apply(X,X))))) -> (false) collapsed.
% Rule
% [383]
% (eq)(apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)))))) -> (false) collapsed.
% Rule
% [384]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(apply(apply(s,t),apply(t,t)),apply(t,X))),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [385]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),
% f(apply(X,X))))) -> (false) collapsed.
% Rule
% [386]
% (eq)(apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),apply(t,X)),t))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),
% apply(t,X)))))) -> (false) collapsed.
% Rule
% [387]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(apply(apply(apply(s,t),b),apply(t,X)),t)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [388]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(apply(apply(apply(s,t),b),apply(t,X)),t)),apply(apply(X,X),
% f(apply(X,X))))) ->
% (false) collapsed.
% Rule
% [389]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),
% f(apply(X,X))))) -> (false) collapsed.
% Rule
% [390]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(apply(apply(apply(s,t),b),apply(t,X)),t),
% f(apply(X,X))))) -> (false) collapsed.
% Rule
% [391]
% (eq)(apply(apply(apply(apply(s,t),apply(t,t)),apply(t,X)),f(apply(X,X))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))))) -> (false)
% collapsed.
% Rule
% [392]
% (eq)(apply(apply(X,X),f(apply(apply(apply(s,t),apply(t,t)),apply(t,X)))),
% apply(f(apply(X,X)),apply(apply(X,X),f(apply(apply(apply(apply(s,t),b),
% apply(t,X)),t))))) -> (false)
% collapsed.
% Rule
% [458]
% (eq)(apply(X,apply(X,f(apply(apply(apply(apply(s,t),b),apply(t,X)),b)))),
% apply(apply(apply(s,apply(b,f(apply(apply(b,X),X)))),apply(t,f(apply(
% apply(b,X),X)))),X))
% -> (false) collapsed.
% Rule
% [504]
% apply(apply(apply(apply(s,t),b),apply(t,X)),X) ->
% apply(apply(apply(s,t),X),X) collapsed.
% Current number of equations to process: 3130
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [506]
% (eq)(apply(X,apply(apply(b,X),f(apply(apply(apply(s,b),b),X)))),apply(
% f(apply(
% apply(
% apply(s,b),b),X)),
% apply(X,
% apply(
% apply(b,X),
% f(apply(
% apply(b,X),
% apply(b,X)))))))
% -> (false)
% Current number of equations to process: 3154
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [507]
% (eq)(apply(X,apply(apply(b,X),f(apply(apply(b,X),apply(b,X))))),apply(
% f(apply(
% apply(
% apply(s,b),b),X)),
% apply(X,
% apply(
% apply(b,X),
% f(apply(
% apply(
% apply(s,b),b),X))))))
% -> (false)
% Current number of equations to process: 3178
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [508]
% (eq)(apply(apply(apply(apply(s,t),b),X),f(apply(apply(b,X),X))),apply(
% f(apply(
% apply(b,X),X)),
% apply(
% apply(
% apply(
% apply(s,b),t),X),
% apply(t,
% f(apply(
% apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [509]
% (eq)(apply(apply(apply(apply(s,b),t),X),apply(t,f(apply(apply(apply(s,t),b),X)))),
% apply(f(apply(apply(b,X),X)),apply(apply(apply(apply(s,t),b),X),f(apply(
% apply(b,X),X)))))
% -> (false)
% Current number of equations to process: 3151
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [510]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(apply(s,t),b),X)),
% apply(apply(apply(apply(s,b),t),X),
% apply(t,f(apply(apply(b,X),X))))))
% -> (false)
% Current number of equations to process: 3202
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [511]
% (eq)(apply(X,apply(X,f(apply(apply(b,X),X)))),apply(f(apply(apply(b,X),X)),
% apply(apply(apply(apply(s,b),t),X),
% apply(t,f(apply(apply(apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 3254
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [512]
% (eq)(apply(apply(apply(apply(s,b),t),X),apply(t,f(apply(apply(apply(s,t),b),X)))),
% apply(f(apply(apply(apply(s,t),b),X)),apply(X,apply(X,f(apply(apply(apply(s,t),b),X))))))
% -> (false)
% Current number of equations to process: 3306
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [513]
% (eq)(apply(apply(apply(s,t),apply(apply(b,t),f(apply(apply(b,X),apply(t,X))))),X),
% apply(f(apply(apply(b,X),apply(t,X))),apply(X,apply(f(apply(apply(b,X),
% apply(t,X))),X)))) ->
% (false)
% Current number of equations to process: 3328
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [514]
% (eq)(apply(apply(apply(s,t),apply(apply(b,t),f(apply(apply(apply(s,b),t),X)))),X),
% apply(f(apply(apply(b,X),apply(t,X))),apply(X,apply(f(apply(apply(b,X),
% apply(t,X))),X)))) ->
% (false)
% Current number of equations to process: 3346
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [515]
% (eq)(apply(apply(apply(s,t),apply(apply(b,t),f(apply(apply(b,X),apply(t,X))))),X),
% apply(f(apply(apply(apply(s,b),t),X)),apply(X,apply(f(apply(apply(b,X),
% apply(t,X))),X)))) ->
% (false)
% Current number of equations to process: 3364
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [516]
% (eq)(apply(apply(apply(s,t),apply(apply(b,t),f(apply(apply(b,X),apply(t,X))))),X),
% apply(f(apply(apply(b,X),apply(t,X))),apply(X,apply(f(apply(apply(apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 3385
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [517]
% (eq)(apply(apply(apply(s,t),apply(apply(b,t),f(apply(apply(apply(s,b),t),X)))),X),
% apply(f(apply(apply(b,X),apply(t,X))),apply(X,apply(f(apply(apply(apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 3406
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [518]
% (eq)(apply(apply(apply(s,t),apply(apply(b,t),f(apply(apply(apply(s,b),t),X)))),X),
% apply(f(apply(apply(apply(s,b),t),X)),apply(X,apply(f(apply(apply(b,X),
% apply(t,X))),X)))) ->
% (false)
% Current number of equations to process: 3428
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [519]
% (eq)(apply(apply(apply(s,t),apply(apply(b,t),f(apply(apply(b,X),apply(t,X))))),X),
% apply(f(apply(apply(apply(s,b),t),X)),apply(X,apply(f(apply(apply(apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 3447
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [520]
% (eq)(apply(apply(apply(s,t),apply(apply(b,t),f(apply(apply(apply(s,b),t),X)))),X),
% apply(f(apply(apply(apply(s,b),t),X)),apply(X,apply(f(apply(apply(apply(s,b),t),X)),X))))
% -> (false)
% Current number of equations to process: 3460
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [521]
% apply(apply(apply(s,apply(apply(s,t),t)),X),X) <->
% apply(apply(apply(s,X),X),X)
% Current number of equations to process: 3505
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [522]
% apply(apply(apply(s,X),X),X) <->
% apply(apply(apply(s,apply(apply(s,t),t)),X),X)
% Current number of equations to process: 3505
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [523]
% apply(apply(apply(s,X),Y),Y) <->
% apply(apply(apply(s,X),apply(apply(s,t),t)),Y)
% Rule
% [487]
% apply(apply(apply(s,t),X),X) <->
% apply(apply(apply(s,t),apply(apply(s,t),t)),X) collapsed.
% Current number of equations to process: 3708
% Current number of ordered equations: 1
% Current number of rules: 358
% New rule produced :
% [524]
% apply(apply(apply(s,X),apply(apply(s,t),t)),Y) <->
% apply(apply(apply(s,X),Y),Y)
% Rule
% [488]
% apply(apply(apply(s,t),apply(apply(s,t),t)),X) <->
% apply(apply(apply(s,t),X),X) collapsed.
% Current number of equations to process: 3708
% Current number ofCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------