TSTP Solution File: COL067-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : COL067-1 : TPTP v6.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n164.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:20:02 EDT 2014
% Result : Timeout 300.05s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : COL067-1 : TPTP v6.0.0. Released v1.2.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n164.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun 6 01:00:53 CDT 2014
% % CPUTime : 300.05
% Processing problem /tmp/CiME_49789_n164.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " 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));
% ";
%
% let s1 = status F "
% f lr_lex;
% b lr_lex;
% apply lr_lex;
% s lr_lex;
% ";
%
% let p1 = precedence F "
% apply > f > s > b";
%
% let s2 = status F "
% f mul;
% b mul;
% apply mul;
% s mul;
% ";
%
% let p2 = precedence F "
% apply > f > s = b";
%
% 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)) } (2 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
%
% [b] = 1;
% [s] = 2;
% [f](x1) = 3 + x1;
% [apply](x1,x2) = 1 + x1 + x2;
% Chosen ordering : RPO
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { apply(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(X,apply(Y,Z)) <-> apply(apply(apply(b,X),Y),Z)
% Rule [2] (eq)(apply(Y,f(Y)),apply(f(Y),apply(Y,f(Y)))) -> (false) collapsed.
% Current number of equations to process: 1
% Current number of ordered equations: 3
% Current number of rules: 2
% New rule produced :
% [4] (eq)(apply(Y,f(Y)),apply(apply(apply(b,f(Y)),Y),f(Y))) -> (false)
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 3
% New rule produced : [5] apply(apply(apply(b,X),Y),Z) <-> apply(X,apply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 4
% New rule produced :
% [6] apply(apply(X,Z),apply(Y,Z)) <-> apply(apply(apply(s,X),Y),Z)
% Current number of equations to process: 6
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced :
% [7] apply(apply(apply(s,X),Y),Z) <-> apply(apply(X,Z),apply(Y,Z))
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% (eq)(apply(apply(X,Y),f(apply(X,Y))),apply(apply(apply(apply(apply(apply(b,b),b),
% f(apply(X,Y))),X),Y),
% f(apply(X,Y)))) -> (false)
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9]
% apply(X,apply(apply(apply(b,Y),Z),V_3)) <->
% apply(apply(apply(b,X),Y),apply(Z,V_3))
% Current number of equations to process: 38
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [10]
% apply(apply(apply(b,X),Y),apply(Z,V_3)) <->
% apply(X,apply(apply(apply(b,Y),Z),V_3))
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11]
% apply(X,apply(Y,apply(Z,V_3))) <->
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3)
% Current number of equations to process: 81
% Current number of ordered equations: 3
% Current number of rules: 10
% New rule produced :
% [12]
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3) <->
% apply(X,apply(Y,apply(Z,V_3)))
% Current number of equations to process: 81
% Current number of ordered equations: 2
% Current number of rules: 11
% New rule produced :
% [13]
% apply(apply(X,Y),apply(Z,V_3)) <->
% apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3)
% Current number of equations to process: 81
% Current number of ordered equations: 1
% Current number of rules: 12
% New rule produced :
% [14]
% apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3) <->
% apply(apply(X,Y),apply(Z,V_3))
% Rule
% [8]
% (eq)(apply(apply(X,Y),f(apply(X,Y))),apply(apply(apply(apply(apply(apply(b,b),b),
% f(apply(X,Y))),X),Y),
% f(apply(X,Y)))) -> (false) collapsed.
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [15]
% (eq)(apply(apply(apply(b,X),Y),f(apply(apply(b,X),Y))),apply(apply(apply(b,
% f(
% apply(
% apply(b,X),Y))),X),
% apply(Y,f(apply(
% apply(b,X),Y)))))
% -> (false)
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [16]
% apply(apply(apply(apply(apply(b,b),X),Y),Z),Y) ->
% apply(apply(apply(s,X),Z),Y)
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [17]
% apply(X,apply(apply(apply(s,Y),Z),V_3)) <->
% apply(apply(apply(b,X),apply(Y,V_3)),apply(Z,V_3))
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [18]
% apply(apply(apply(b,X),apply(Y,V_3)),apply(Z,V_3)) <->
% apply(X,apply(apply(apply(s,Y),Z),V_3))
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [19]
% apply(X,apply(apply(apply(b,Y),Z),Y)) <->
% apply(apply(apply(apply(apply(b,s),b),X),Z),Y)
% Current number of equations to process: 306
% Current number of ordered equations: 3
% Current number of rules: 17
% New rule produced :
% [20]
% apply(apply(X,Y),apply(Z,apply(V_3,Y))) <->
% apply(apply(apply(s,X),apply(apply(b,Z),V_3)),Y)
% Current number of equations to process: 308
% Current number of ordered equations: 2
% Current number of rules: 18
% New rule produced :
% [21]
% apply(apply(apply(s,X),apply(apply(b,Z),V_3)),Y) <->
% apply(apply(X,Y),apply(Z,apply(V_3,Y)))
% Current number of equations to process: 308
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [22]
% apply(apply(apply(apply(apply(b,s),b),X),Z),Y) <->
% apply(X,apply(apply(apply(b,Y),Z),Y))
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [23]
% apply(X,apply(apply(Y,Z),apply(V_3,Z))) <->
% apply(apply(apply(b,X),apply(apply(s,Y),V_3)),Z)
% Current number of equations to process: 477
% Current number of ordered equations: 3
% Current number of rules: 21
% New rule produced :
% [24]
% apply(apply(apply(b,X),apply(apply(s,Y),V_3)),Z) <->
% apply(X,apply(apply(Y,Z),apply(V_3,Z)))
% Current number of equations to process: 482
% Current number of ordered equations: 2
% Current number of rules: 22
% New rule produced :
% [25]
% apply(apply(apply(X,Y),V_3),apply(Z,V_3)) <->
% apply(apply(apply(apply(apply(b,s),X),Y),Z),V_3)
% Current number of equations to process: 482
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [26]
% apply(apply(apply(apply(apply(b,s),X),Y),Z),V_3) <->
% apply(apply(apply(X,Y),V_3),apply(Z,V_3))
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [27]
% (eq)(apply(apply(apply(s,X),Y),f(apply(apply(s,X),Y))),apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),s),s),b),X),Y),
% f(apply(apply(s,X),Y))))
% -> (false)
% Current number of equations to process: 581
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [28]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(b,
% f(apply(X,
% apply(Y,Z)))),
% apply(X,
% apply(Y,Z))),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 782
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [29]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(b,
% f(apply(X,
% apply(Y,Z)))),
% apply(X,
% apply(Y,Z))),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 790
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [30]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(b,f(apply(X,apply(Y,Z)))),apply(X,apply(Y,Z))),f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 808
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [31]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(b,
% f(apply(
% apply(
% apply(b,X),Y),Z))),
% apply(X,
% apply(Y,Z))),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 820
% Current number of ordered equations: 2
% Current number of rules: 29
% New rule produced :
% [32]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(b,
% f(apply(X,
% apply(Y,Z)))),
% apply(
% apply(
% apply(b,X),Y),Z)),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 820
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [33]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(b,
% f(apply(X,
% apply(Y,Z)))),
% apply(X,
% apply(Y,Z))),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [34]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(b,
% f(apply(
% apply(
% apply(b,X),Y),Z))),
% apply(X,
% apply(Y,Z))),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 945
% Current number of ordered equations: 2
% Current number of rules: 32
% New rule produced :
% [35]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(b,
% f(apply(X,
% apply(Y,Z)))),
% apply(
% apply(
% apply(b,X),Y),Z)),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 945
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [36]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(b,
% f(apply(X,
% apply(Y,Z)))),
% apply(X,
% apply(Y,Z))),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 945
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [37]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% f(apply(
% apply(
% apply(b,X),Y),Z)),
% apply(
% apply(X,
% apply(Y,Z)),
% f(apply(X,
% apply(Y,Z))))))
% -> (false)
% Current number of equations to process: 1174
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [38]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(b,
% f(
% apply(
% apply(
% apply(b,X),Y),Z))),
% apply(X,
% apply(Y,Z))),
% f(apply(X,apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 1187
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [39]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(b,
% f(
% apply(X,
% apply(Y,Z)))),
% apply(apply(
% apply(b,X),Y),Z)),
% f(apply(X,apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 1306
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [40]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% f(apply(X,
% apply(Y,Z))),
% apply(
% apply(X,
% apply(Y,Z)),
% f(apply(
% apply(
% apply(b,X),Y),Z)))))
% -> (false)
% Current number of equations to process: 1410
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [41]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(b,
% f(
% apply(X,
% apply(Y,Z)))),
% apply(X,
% apply(Y,Z))),
% f(apply(apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 1424
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [42]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% f(apply(
% apply(
% apply(b,X),Y),Z)),
% apply(
% apply(X,
% apply(Y,Z)),
% f(apply(X,
% apply(Y,Z))))))
% -> (false)
% Current number of equations to process: 1530
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [43]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% f(apply(X,
% apply(Y,Z))),
% apply(
% apply(X,
% apply(Y,Z)),
% f(apply(
% apply(
% apply(b,X),Y),Z)))))
% -> (false)
% Current number of equations to process: 1769
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [44]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(f(apply(
% apply(
% apply(b,X),Y),Z)),
% apply(apply(X,
% apply(Y,Z)),
% f(apply(X,apply(Y,Z))))))
% -> (false)
% Current number of equations to process: 1890
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [45]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(f(apply(apply(apply(b,X),Y),Z)),apply(apply(X,apply(Y,Z)),f(apply(X,
% apply(Y,Z))))))
% -> (false)
% Current number of equations to process: 1930
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [46]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% f(apply(
% apply(
% apply(b,X),Y),Z)),
% apply(
% apply(
% apply(
% apply(b,X),Y),Z),
% f(apply(X,
% apply(Y,Z))))))
% -> (false)
% Current number of equations to process: 2052
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [47]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(f(apply(X,
% apply(Y,Z))),
% apply(apply(X,
% apply(Y,Z)),
% f(apply(apply(
% apply(b,X),Y),Z)))))
% -> (false)
% Current number of equations to process: 2262
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [48]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(f(apply(X,apply(Y,Z))),apply(apply(X,apply(Y,Z)),f(apply(apply(
% apply(b,X),Y),Z)))))
% -> (false)
% Current number of equations to process: 2302
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [49]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% f(apply(X,
% apply(Y,Z))),
% apply(
% apply(
% apply(
% apply(b,X),Y),Z),
% f(apply(
% apply(
% apply(b,X),Y),Z)))))
% -> (false)
% Current number of equations to process: 2422
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [50]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(f(apply(
% apply(
% apply(b,X),Y),Z)),
% apply(apply(apply(
% apply(b,X),Y),Z),
% f(apply(X,apply(Y,Z))))))
% -> (false)
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [51]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% f(apply(
% apply(
% apply(b,X),Y),Z)),
% apply(
% apply(
% apply(
% apply(b,X),Y),Z),
% f(apply(X,
% apply(Y,Z))))))
% -> (false)
% Current number of equations to process: 2903
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [52]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% f(apply(X,
% apply(Y,Z))),
% apply(
% apply(
% apply(
% apply(b,X),Y),Z),
% f(apply(
% apply(
% apply(b,X),Y),Z)))))
% -> (false)
% Current number of equations to process: 2902
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [53]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(f(apply(X,
% apply(Y,Z))),
% apply(apply(apply(
% apply(b,X),Y),Z),
% f(apply(apply(
% apply(b,X),Y),Z)))))
% -> (false)
% Current number of equations to process: 3128
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [54]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(b,f(apply(apply(apply(b,X),Y),Z))),apply(X,apply(Y,Z))),
% f(apply(X,apply(Y,Z))))) -> (false)
% Current number of equations to process: 3594
% Current number of ordered equations: 2
% Current number of rules: 52
% New rule produced :
% [55]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(b,f(apply(X,apply(Y,Z)))),apply(apply(apply(b,X),Y),Z)),
% f(apply(X,apply(Y,Z))))) -> (false)
% Current number of equations to process: 3594
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [56]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(b,f(apply(X,apply(Y,Z)))),apply(X,apply(Y,Z))),f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3594
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [57]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(b,
% f(
% apply(
% apply(
% apply(b,X),Y),Z))),
% apply(apply(
% apply(b,X),Y),Z)),
% f(apply(X,apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 3907
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [58]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(b,
% f(
% apply(
% apply(
% apply(b,X),Y),Z))),
% apply(X,
% apply(Y,Z))),
% f(apply(apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3905
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [59]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(b,
% f(
% apply(X,
% apply(Y,Z)))),
% apply(apply(
% apply(b,X),Y),Z)),
% f(apply(apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [60]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(f(apply(apply(apply(b,X),Y),Z)),apply(apply(apply(apply(b,X),Y),Z),
% f(apply(X,apply(Y,Z)))))) -> (false)
% Current number of equations to process: 3902
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [61]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(f(apply(X,apply(Y,Z))),apply(apply(apply(apply(b,X),Y),Z),f(apply(
% apply(
% apply(b,X),Y),Z)))))
% -> (false)
% Current number of equations to process: 3899
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [62]
% apply(apply(apply(b,X),Y),apply(Z,V_3)) <->
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3)
% Rule
% [15]
% (eq)(apply(apply(apply(b,X),Y),f(apply(apply(b,X),Y))),apply(apply(apply(b,
% f(
% apply(
% apply(b,X),Y))),X),
% apply(Y,f(apply(
% apply(b,X),Y)))))
% -> (false) collapsed.
% Current number of equations to process: 4721
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [63]
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3) <->
% apply(apply(apply(b,X),Y),apply(Z,V_3))
% Current number of equations to process: 4721
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [64]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(b,
% f(apply(
% apply(
% apply(b,X),Y),Z))),
% apply(
% apply(
% apply(b,X),Y),Z)),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 3153
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [65]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(b,
% f(apply(
% apply(
% apply(b,X),Y),Z))),
% apply(X,
% apply(Y,Z))),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3275
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [66]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(b,
% f(apply(X,
% apply(Y,Z)))),
% apply(
% apply(
% apply(b,X),Y),Z)),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3275
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [67]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(b,
% f(apply(
% apply(
% apply(b,X),Y),Z))),
% apply(X,
% apply(Y,Z))),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3519
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [68]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(b,
% f(apply(
% apply(
% apply(b,X),Y),Z))),
% apply(
% apply(
% apply(b,X),Y),Z)),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 3641
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [69]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(b,
% f(apply(X,
% apply(Y,Z)))),
% apply(
% apply(
% apply(b,X),Y),Z)),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3641
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [70]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),
% f(
% apply(
% apply(
% apply(b,X),Y),Z))),X),
% apply(Y,Z)),
% f(apply(X,apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 3872
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [71]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),
% f(
% apply(X,
% apply(Y,Z)))),
% apply(
% apply(b,X),Y)),Z),
% f(apply(X,apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 4013
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [72]
% (eq)(apply(apply(apply(b,X),Y),f(apply(apply(b,X),Y))),apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),b),b),
% f(
% apply(
% apply(b,X),Y))),X),Y),
% f(apply(apply(b,X),Y))))
% -> (false)
% Current number of equations to process: 4151
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [73]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(b,f(apply(apply(apply(b,X),Y),Z))),apply(X,apply(Y,Z))),
% f(apply(apply(apply(b,X),Y),Z)))) -> (false)
% Current number of equations to process: 4182
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [74]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(b,
% f(
% apply(
% apply(
% apply(b,X),Y),Z))),
% apply(apply(
% apply(b,X),Y),Z)),
% f(apply(apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 4290
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [75]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(b,f(apply(apply(apply(b,X),Y),Z))),apply(apply(apply(b,X),Y),Z)),
% f(apply(X,apply(Y,Z))))) -> (false)
% Current number of equations to process: 4415
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [76]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(b,f(apply(X,apply(Y,Z)))),apply(apply(apply(b,X),Y),Z)),
% f(apply(apply(apply(b,X),Y),Z)))) -> (false)
% Current number of equations to process: 4524
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [77]
% apply(X,apply(Y,apply(Z,V_3))) <->
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),b),X),Y),Z),V_3)
% Current number of equations to process: 4622
% Current number of ordered equations: 3
% Current number of rules: 74
% New rule produced :
% [78]
% apply(X,apply(apply(Y,Z),V_3)) <->
% apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3)
% Current number of equations to process: 4622
% Current number of ordered equations: 2
% Current number of rules: 75
% New rule produced :
% [79]
% apply(apply(apply(apply(apply(apply(b,b),b),X),Y),Z),V_3) <->
% apply(X,apply(apply(Y,Z),V_3))
% Current number of equations to process: 4622
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [80]
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),b),X),Y),Z),V_3)
% <-> apply(X,apply(Y,apply(Z,V_3)))
% Current number of equations to process: 4622
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [81]
% apply(apply(X,Y),apply(apply(Z,Y),apply(V_3,Y))) <->
% apply(apply(apply(s,X),apply(apply(s,Z),V_3)),Y)
% Current number of equations to process: 4219
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [82]
% apply(apply(apply(s,X),apply(apply(s,Z),V_3)),Y) <->
% apply(apply(X,Y),apply(apply(Z,Y),apply(V_3,Y)))
% Current number of equations to process: 4219
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [83]
% apply(X,apply(apply(apply(apply(s,b),Y),Z),V_3)) <->
% apply(apply(apply(b,X),Z),apply(apply(Y,Z),V_3))
% Current number of equations to process: 4670
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [84]
% apply(apply(apply(b,X),Z),apply(apply(Y,Z),V_3)) <->
% apply(X,apply(apply(apply(apply(s,b),Y),Z),V_3))
% Current number of equations to process: 4670
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [85]
% apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))) <->
% apply(apply(apply(b,X),Y),apply(Z,apply(V_3,V_4)))
% Current number of equations to process: 3051
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [86]
% apply(apply(apply(b,X),Y),apply(Z,apply(V_3,V_4))) <->
% apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4)))
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [87]
% apply(apply(apply(b,X),apply(Y,V_3)),apply(Z,V_3)) <->
% apply(apply(apply(b,X),apply(apply(s,Y),Z)),V_3)
% Current number of equations to process: 4055
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [88]
% apply(apply(apply(b,X),apply(apply(s,Y),Z)),V_3) <->
% apply(apply(apply(b,X),apply(Y,V_3)),apply(Z,V_3))
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [89]
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),Y) <->
% apply(apply(apply(apply(apply(b,s),b),X),Z),Y)
% Current number of equations to process: 4719
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [90]
% apply(apply(apply(apply(apply(b,s),b),X),Z),Y) <->
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),Y)
% Current number of equations to process: 4719
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [91]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% f(apply(X,
% apply(Y,Z)))),
% apply(
% apply(b,X),Y)),Z),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 2593
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [92]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% f(apply(X,
% apply(Y,Z)))),
% apply(
% apply(b,X),Y)),Z),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [93]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% f(apply(
% apply(
% apply(b,X),Y),Z))),X),
% apply(Y,Z)),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [94]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% f(apply(
% apply(
% apply(b,X),Y),Z))),X),
% apply(Y,Z)),
% f(apply(X,
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 3198
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [95]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(b,
% f(apply(
% apply(
% apply(b,X),Y),Z))),
% apply(
% apply(
% apply(b,X),Y),Z)),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3401
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [96]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(b,
% f(apply(
% apply(
% apply(b,X),Y),Z))),
% apply(
% apply(
% apply(b,X),Y),Z)),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3581
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [97]
% apply(apply(apply(apply(s,b),X),Y),apply(Z,Y)) <->
% apply(apply(apply(b,Y),apply(apply(s,X),Z)),Y)
% Current number of equations to process: 3748
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [98]
% apply(apply(apply(b,Y),apply(apply(s,X),Z)),Y) <->
% apply(apply(apply(apply(s,b),X),Y),apply(Z,Y))
% Current number of equations to process: 3748
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [99]
% (eq)(apply(apply(apply(X,Y),Z),f(apply(apply(X,Y),Z))),apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(s,s),b),b),b),
% f(
% apply(
% apply(X,Y),Z))),X),Y),Z),
% f(apply(apply(X,Y),Z))))
% -> (false)
% Current number of equations to process: 4168
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [100]
% (eq)(apply(apply(apply(apply(s,s),X),Y),f(apply(apply(apply(s,s),X),Y))),
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),s),s),b),Y),apply(X,Y)),
% f(apply(apply(apply(s,s),X),Y)))) -> (false)
% Current number of equations to process: 4511
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [101]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(apply(apply(apply(b,b),b),f(apply(X,apply(Y,Z)))),apply(
% apply(b,X),Y)),Z),
% f(apply(X,apply(Y,Z))))) -> (false)
% Current number of equations to process: 4530
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [102]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),
% f(
% apply(X,
% apply(Y,Z)))),
% apply(
% apply(b,X),Y)),Z),
% f(apply(apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 4716
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [103]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 4925
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [104]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 2470
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [105]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(apply(apply(apply(b,b),b),f(apply(apply(apply(b,X),Y),Z))),X),
% apply(Y,Z)),f(apply(X,apply(Y,Z))))) -> (false)
% Current number of equations to process: 2857
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [106]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),
% f(
% apply(
% apply(
% apply(b,X),Y),Z))),X),
% apply(Y,Z)),
% f(apply(apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3048
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [107]
% apply(apply(X,apply(Y,Z)),apply(apply(apply(b,V_3),Y),Z)) <->
% apply(apply(apply(s,X),V_3),apply(Y,Z))
% Current number of equations to process: 3250
% Current number of ordered equations: 2
% Current number of rules: 104
% New rule produced :
% [108]
% apply(apply(apply(apply(b,X),Y),Z),apply(V_3,apply(Y,Z))) ->
% apply(apply(apply(s,X),V_3),apply(Y,Z))
% Current number of equations to process: 3250
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [109]
% apply(apply(apply(s,X),V_3),apply(Y,Z)) <->
% apply(apply(X,apply(Y,Z)),apply(apply(apply(b,V_3),Y),Z))
% Current number of equations to process: 3250
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [110]
% apply(apply(X,apply(Y,Z)),apply(V_3,Z)) <->
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),s),b),X),Y),V_3),Z)
% Current number of equations to process: 4106
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [111]
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),s),b),X),Y),V_3),Z)
% <-> apply(apply(X,apply(Y,Z)),apply(V_3,Z))
% Current number of equations to process: 4106
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [112]
% apply(apply(X,V_3),apply(apply(Y,Z),V_3)) <->
% apply(apply(apply(apply(apply(apply(b,b),s),X),Y),Z),V_3)
% Current number of equations to process: 4899
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [113]
% apply(apply(apply(apply(apply(apply(b,b),s),X),Y),Z),V_3) <->
% apply(apply(X,V_3),apply(apply(Y,Z),V_3))
% Current number of equations to process: 4899
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [114]
% apply(X,apply(apply(apply(b,Y),Z),V_3)) <->
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),b),X),Y),Z),V_3)
% Current number of equations to process: 2361
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [115]
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),b),X),Y),Z),V_3)
% <-> apply(X,apply(apply(apply(b,Y),Z),V_3))
% Current number of equations to process: 2361
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [116]
% apply(X,apply(Y,apply(Z,apply(V_3,V_4)))) <->
% apply(apply(apply(b,X),Y),apply(apply(apply(b,Z),V_3),V_4))
% Current number of equations to process: 3450
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [117]
% apply(apply(apply(b,X),Y),apply(apply(apply(b,Z),V_3),V_4)) <->
% apply(X,apply(Y,apply(Z,apply(V_3,V_4))))
% Current number of equations to process: 3450
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [118]
% apply(apply(apply(X,b),Y),apply(Z,V_3)) <->
% apply(apply(apply(apply(apply(apply(s,b),X),b),Y),Z),V_3)
% Current number of equations to process: 4796
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [119]
% apply(apply(apply(apply(apply(apply(s,b),X),b),Y),Z),V_3) <->
% apply(apply(apply(X,b),Y),apply(Z,V_3))
% Current number of equations to process: 4796
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [120]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(X,apply(Y,
% apply(Z,V_3))))),
% apply(apply(apply(b,f(apply(X,apply(Y,apply(Z,V_3))))),apply(X,apply(Y,
% apply(Z,V_3)))),
% f(apply(X,apply(Y,apply(Z,V_3)))))) -> (false)
% Current number of equations to process: 3573
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [121]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(apply(apply(b,Y),Z),V_3)))),
% apply(apply(apply(b,f(apply(X,apply(Y,apply(Z,V_3))))),apply(X,apply(Y,
% apply(Z,V_3)))),
% f(apply(X,apply(Y,apply(Z,V_3)))))) -> (false)
% Current number of equations to process: 4075
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [122]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% f(apply(X,
% apply(Y,Z)))),
% apply(
% apply(b,X),Y)),Z),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 4577
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [123]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% f(apply(X,
% apply(Y,Z)))),
% apply(
% apply(b,X),Y)),Z),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 4813
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [124]
% (eq)(apply(apply(apply(apply(b,X),Y),apply(Z,V_3)),f(apply(X,apply(Y,
% apply(Z,V_3))))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 2597
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [125]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(X,apply(Y,
% apply(Z,V_3))))),
% apply(f(apply(apply(apply(b,X),Y),apply(Z,V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 2597
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [126]
% (eq)(apply(apply(apply(apply(b,X),Y),apply(Z,V_3)),f(apply(X,apply(Y,
% apply(Z,V_3))))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 3259
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [127]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(X,apply(Y,
% apply(Z,V_3))))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(apply(apply(b,X),Y),apply(Z,V_3))))))
% -> (false)
% Current number of equations to process: 3259
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [128]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(apply(apply(b,Y),Z),V_3)))),
% apply(f(apply(apply(apply(b,X),Y),apply(Z,V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 3919
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [129]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(apply(apply(b,X),Y),
% apply(Z,V_3)))),apply(f(apply(X,
% apply(
% apply(
% apply(b,Y),Z),V_3))),
% apply(apply(X,
% apply(Y,
% apply(Z,V_3))),
% f(apply(X,
% apply(Y,
% apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 3919
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [130]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(apply(apply(b,Y),Z),V_3)))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(apply(apply(b,X),Y),apply(Z,V_3))))))
% -> (false)
% Current number of equations to process: 4581
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [131]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(apply(apply(b,X),Y),
% apply(Z,V_3)))),apply(f(apply(X,
% apply(Y,
% apply(Z,V_3)))),
% apply(apply(X,
% apply(Y,
% apply(Z,V_3))),
% f(apply(X,
% apply(apply(
% apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 4581
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [132]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% f(apply(
% apply(
% apply(b,X),Y),Z))),X),
% apply(Y,Z)),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3488
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [133]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% f(apply(
% apply(
% apply(b,X),Y),Z))),X),
% apply(Y,Z)),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [134]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(X,apply(Y,
% apply(Z,V_3))))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 3953
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [135]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(apply(apply(b,Y),Z),V_3)))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 3953
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [136]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(X,apply(Y,
% apply(Z,V_3))))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 4920
% Current number of ordered equations: 1
% Current number of rules: 133
% New rule produced :
% [137]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(apply(apply(b,Y),Z),V_3)))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 4920
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [138]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(apply(apply(apply(b,b),b),f(apply(X,apply(Y,Z)))),apply(
% apply(b,X),Y)),Z),
% f(apply(apply(apply(b,X),Y),Z)))) -> (false)
% Current number of equations to process: 2958
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [139]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(apply(apply(apply(b,b),b),f(apply(apply(apply(b,X),Y),Z))),X),
% apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z)))) -> (false)
% Current number of equations to process: 3167
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [140]
% (eq)(apply(apply(apply(b,X),apply(Y,Z)),f(apply(apply(b,X),apply(Y,Z)))),
% apply(apply(apply(b,f(apply(apply(apply(apply(apply(b,b),b),X),Y),Z))),
% apply(apply(b,X),apply(Y,Z))),f(apply(apply(b,X),apply(Y,Z))))) ->
% (false)
% Current number of equations to process: 3393
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [141]
% (eq)(apply(apply(apply(b,X),apply(Y,Z)),f(apply(apply(b,X),apply(Y,Z)))),
% apply(apply(apply(b,f(apply(apply(b,X),apply(Y,Z)))),apply(apply(b,X),
% apply(Y,Z))),f(apply(
% apply(
% apply(
% apply(
% apply(b,b),b),X),Y),Z))))
% -> (false)
% Current number of equations to process: 3393
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [142]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),s),X),Y),Z),f(apply(apply(s,X),
% apply(Y,Z)))),
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),s),s),b),X),apply(Y,Z)),
% f(apply(apply(s,X),apply(Y,Z))))) -> (false)
% Current number of equations to process: 3976
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [143]
% (eq)(apply(apply(apply(s,X),apply(Y,Z)),f(apply(apply(apply(apply(apply(b,b),s),X),Y),Z))),
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),s),s),b),X),apply(Y,Z)),
% f(apply(apply(s,X),apply(Y,Z))))) -> (false)
% Current number of equations to process: 3976
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [144]
% (eq)(apply(apply(apply(apply(b,X),Y),apply(Z,V_3)),f(apply(X,apply(apply(
% apply(b,Y),Z),V_3)))),
% apply(apply(apply(b,f(apply(X,apply(Y,apply(Z,V_3))))),apply(X,apply(Y,
% apply(Z,V_3)))),
% f(apply(X,apply(Y,apply(Z,V_3)))))) -> (false)
% Current number of equations to process: 4417
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [145]
% (eq)(apply(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3),f(apply(apply(X,Y),
% apply(Z,V_3)))),
% apply(apply(apply(b,f(apply(apply(X,Y),apply(Z,V_3)))),apply(apply(X,Y),
% apply(Z,V_3))),
% f(apply(apply(X,Y),apply(Z,V_3))))) -> (false)
% Current number of equations to process: 4417
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [146]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Y),Z))),apply(apply(X,Z),
% apply(Y,Z))),f(apply(
% apply(X,Z),
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 4965
% Current number of ordered equations: 3
% Current number of rules: 143
% New rule produced :
% [147]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(apply(apply(b,f(apply(apply(X,Z),apply(Y,Z)))),apply(apply(apply(s,X),Y),Z)),
% f(apply(apply(X,Z),apply(Y,Z))))) -> (false)
% Current number of equations to process: 4965
% Current number of ordered equations: 2
% Current number of rules: 144
% New rule produced :
% [148]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(apply(apply(b,f(apply(apply(X,Z),apply(Y,Z)))),apply(apply(X,Z),
% apply(Y,Z))),f(apply(
% apply(
% apply(s,X),Y),Z))))
% -> (false)
% Current number of equations to process: 4965
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [149]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(apply(s,X),Y),Z))),
% apply(apply(apply(b,f(apply(apply(X,Z),apply(Y,Z)))),apply(apply(X,Z),
% apply(Y,Z))),f(apply(
% apply(X,Z),
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 4965
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [150]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(apply(apply(b,f(apply(apply(X,Z),apply(Y,Z)))),apply(apply(X,Z),
% apply(Y,Z))),f(apply(
% apply(X,Z),
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 4964
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [151]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(f(apply(apply(apply(s,X),Y),Z)),apply(apply(apply(X,Z),apply(Y,Z)),
% f(apply(apply(X,Z),apply(Y,Z)))))) ->
% (false)
% Current number of equations to process: 3352
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [152]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(X,Y),apply(Z,Y)))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Z),Y))),apply(apply(X,Y),
% apply(Z,Y))),f(apply(
% apply(X,Y),
% apply(Z,Y)))))
% -> (false)
% Current number of equations to process: 3513
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [153]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Y),Z))),apply(apply(apply(s,X),Y),Z)),
% f(apply(apply(X,Z),apply(Y,Z))))) -> (false)
% Current number of equations to process: 3510
% Current number of ordered equations: 2
% Current number of rules: 150
% New rule produced :
% [154]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Y),Z))),apply(apply(X,Z),
% apply(Y,Z))),f(apply(
% apply(
% apply(s,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3510
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [155]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(apply(s,X),Y),Z))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Y),Z))),apply(apply(X,Z),
% apply(Y,Z))),f(apply(
% apply(X,Z),
% apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 3510
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [156]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(X,Y),apply(Z,Y)))),
% apply(apply(apply(b,f(apply(apply(X,Y),apply(Z,Y)))),apply(apply(apply(s,X),Z),Y)),
% f(apply(apply(X,Y),apply(Z,Y))))) -> (false)
% Current number of equations to process: 3812
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [157]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(apply(apply(b,f(apply(apply(X,Z),apply(Y,Z)))),apply(apply(apply(s,X),Y),Z)),
% f(apply(apply(apply(s,X),Y),Z)))) -> (false)
% Current number of equations to process: 3810
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [158]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(apply(s,X),Y),Z))),
% apply(apply(apply(b,f(apply(apply(X,Z),apply(Y,Z)))),apply(apply(apply(s,X),Y),Z)),
% f(apply(apply(X,Z),apply(Y,Z))))) -> (false)
% Current number of equations to process: 3810
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [159]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(f(apply(apply(X,Z),apply(Y,Z))),apply(apply(apply(X,Z),apply(Y,Z)),
% f(apply(apply(apply(s,X),Y),Z))))) ->
% (false)
% Current number of equations to process: 3950
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [160]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(X,Y),apply(Z,Y)))),
% apply(apply(apply(b,f(apply(apply(X,Y),apply(Z,Y)))),apply(apply(X,Y),
% apply(Z,Y))),f(apply(
% apply(
% apply(s,X),Z),Y))))
% -> (false)
% Current number of equations to process: 4111
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [161]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(apply(s,X),Y),Z))),
% apply(apply(apply(b,f(apply(apply(X,Z),apply(Y,Z)))),apply(apply(X,Z),
% apply(Y,Z))),f(apply(
% apply(
% apply(s,X),Y),Z))))
% -> (false)
% Current number of equations to process: 4110
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [162]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(apply(apply(b,f(apply(apply(X,Y),apply(Z,Y)))),apply(apply(X,Y),
% apply(Z,Y))),f(apply(
% apply(X,Y),
% apply(Z,Y)))))
% -> (false)
% Current number of equations to process: 4408
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [163]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(X,Y),apply(Z,Y)))),
% apply(f(apply(apply(apply(s,X),Z),Y)),apply(apply(apply(X,Y),apply(Z,Y)),
% f(apply(apply(X,Y),apply(Z,Y)))))) ->
% (false)
% Current number of equations to process: 4963
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [164]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(f(apply(apply(apply(s,X),Y),Z)),apply(apply(apply(apply(s,X),Y),Z),
% f(apply(apply(X,Z),apply(Y,Z)))))) ->
% (false)
% Current number of equations to process: 4961
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [165]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(apply(s,X),Y),Z))),
% apply(f(apply(apply(apply(s,X),Y),Z)),apply(apply(apply(X,Z),apply(Y,Z)),
% f(apply(apply(X,Z),apply(Y,Z)))))) ->
% (false)
% Current number of equations to process: 4961
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [166]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Z),Y))),apply(apply(X,Y),
% apply(Z,Y))),f(apply(
% apply(X,Y),
% apply(Z,Y)))))
% -> (false)
% Current number of equations to process: 2877
% Current number of ordered equations: 2
% Current number of rules: 163
% New rule produced :
% [167]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(X,Y),apply(Z,Y)))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Z),Y))),apply(apply(apply(s,X),Z),Y)),
% f(apply(apply(X,Y),apply(Z,Y))))) -> (false)
% Current number of equations to process: 2877
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [168]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(X,Y),apply(Z,Y)))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Z),Y))),apply(apply(X,Y),
% apply(Z,Y))),f(apply(
% apply(
% apply(s,X),Z),Y))))
% -> (false)
% Current number of equations to process: 2877
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [169]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Y),Z))),apply(apply(apply(s,X),Y),Z)),
% f(apply(apply(apply(s,X),Y),Z)))) -> (false)
% Current number of equations to process: 3146
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [170]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(apply(s,X),Y),Z))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Y),Z))),apply(apply(apply(s,X),Y),Z)),
% f(apply(apply(X,Z),apply(Y,Z))))) -> (false)
% Current number of equations to process: 3146
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [171]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(apply(s,X),Y),Z))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Y),Z))),apply(apply(X,Z),
% apply(Y,Z))),f(apply(
% apply(
% apply(s,X),Y),Z))))
% -> (false)
% Current number of equations to process: 3397
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [172]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(apply(apply(b,f(apply(apply(X,Y),apply(Z,Y)))),apply(apply(apply(s,X),Z),Y)),
% f(apply(apply(X,Y),apply(Z,Y))))) -> (false)
% Current number of equations to process: 3976
% Current number of ordered equations: 1
% Current number of rules: 169
% New rule produced :
% [173]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(X,Y),apply(Z,Y)))),
% apply(apply(apply(b,f(apply(apply(X,Y),apply(Z,Y)))),apply(apply(apply(s,X),Z),Y)),
% f(apply(apply(apply(s,X),Z),Y)))) -> (false)
% Current number of equations to process: 3976
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [174]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(X,Z),apply(Y,Z)))),
% apply(f(apply(apply(X,Z),apply(Y,Z))),apply(apply(apply(apply(s,X),Y),Z),
% f(apply(apply(apply(s,X),Y),Z))))) ->
% (false)
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [175]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(apply(s,X),Y),Z))),
% apply(apply(apply(b,f(apply(apply(X,Z),apply(Y,Z)))),apply(apply(apply(s,X),Y),Z)),
% f(apply(apply(apply(s,X),Y),Z)))) -> (false)
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [176]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(X,Y),apply(Z,Y)))),
% apply(f(apply(apply(X,Y),apply(Z,Y))),apply(apply(apply(X,Y),apply(Z,Y)),
% f(apply(apply(apply(s,X),Z),Y))))) ->
% (false)
% Current number of equations to process: 4693
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [177]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(apply(s,X),Y),Z))),
% apply(f(apply(apply(X,Z),apply(Y,Z))),apply(apply(apply(X,Z),apply(Y,Z)),
% f(apply(apply(apply(s,X),Y),Z))))) ->
% (false)
% Current number of equations to process: 4692
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [178]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(apply(apply(b,f(apply(apply(X,Y),apply(Z,Y)))),apply(apply(X,Y),
% apply(Z,Y))),f(apply(
% apply(
% apply(s,X),Z),Y))))
% -> (false)
% Current number of equations to process: 3741
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [179]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(f(apply(apply(apply(s,X),Z),Y)),apply(apply(apply(X,Y),apply(Z,Y)),
% f(apply(apply(X,Y),apply(Z,Y)))))) ->
% (false)
% Current number of equations to process: 4578
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [180]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(X,Y),apply(Z,Y)))),
% apply(f(apply(apply(apply(s,X),Z),Y)),apply(apply(apply(apply(s,X),Z),Y),
% f(apply(apply(X,Y),apply(Z,Y)))))) ->
% (false)
% Current number of equations to process: 4578
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [181]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(apply(s,X),Y),Z))),
% apply(f(apply(apply(apply(s,X),Y),Z)),apply(apply(apply(apply(s,X),Y),Z),
% f(apply(apply(X,Z),apply(Y,Z)))))) ->
% (false)
% Current number of equations to process: 4877
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [182]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Z),Y))),apply(apply(X,Y),
% apply(Z,Y))),f(apply(
% apply(
% apply(s,X),Z),Y))))
% -> (false)
% Current number of equations to process: 3570
% Current number of ordered equations: 1
% Current number of rules: 179
% New rule produced :
% [183]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Z),Y))),apply(apply(apply(s,X),Z),Y)),
% f(apply(apply(X,Y),apply(Z,Y))))) -> (false)
% Current number of equations to process: 3570
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [184]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(X,Y),apply(Z,Y)))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Z),Y))),apply(apply(apply(s,X),Z),Y)),
% f(apply(apply(apply(s,X),Z),Y)))) -> (false)
% Current number of equations to process: 3869
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [185]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(apply(apply(b,f(apply(apply(X,Y),apply(Z,Y)))),apply(apply(apply(s,X),Z),Y)),
% f(apply(apply(apply(s,X),Z),Y)))) -> (false)
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [186]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(X,Y),apply(Z,Y)))),
% apply(f(apply(apply(X,Y),apply(Z,Y))),apply(apply(apply(apply(s,X),Z),Y),
% f(apply(apply(apply(s,X),Z),Y))))) ->
% (false)
% Current number of equations to process: 2532
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [187]
% (eq)(apply(apply(apply(apply(s,X),Y),Z),f(apply(apply(apply(s,X),Y),Z))),
% apply(f(apply(apply(X,Z),apply(Y,Z))),apply(apply(apply(apply(s,X),Y),Z),
% f(apply(apply(apply(s,X),Y),Z))))) ->
% (false)
% Current number of equations to process: 2876
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [188]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(f(apply(apply(X,Y),apply(Z,Y))),apply(apply(apply(X,Y),apply(Z,Y)),
% f(apply(apply(apply(s,X),Z),Y))))) ->
% (false)
% Current number of equations to process: 3370
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [189]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(f(apply(apply(apply(s,X),Z),Y)),apply(apply(apply(apply(s,X),Z),Y),
% f(apply(apply(X,Y),apply(Z,Y)))))) ->
% (false)
% Current number of equations to process: 4235
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [190]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(apply(apply(b,f(apply(apply(apply(s,X),Z),Y))),apply(apply(apply(s,X),Z),Y)),
% f(apply(apply(apply(s,X),Z),Y)))) -> (false)
% Current number of equations to process: 3005
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [191]
% (eq)(apply(apply(apply(X,Y),apply(Z,Y)),f(apply(apply(apply(s,X),Z),Y))),
% apply(f(apply(apply(X,Y),apply(Z,Y))),apply(apply(apply(apply(s,X),Z),Y),
% f(apply(apply(apply(s,X),Z),Y))))) ->
% (false)
% Current number of equations to process: 3621
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [192]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(apply(apply(b,X),Y),
% apply(Z,V_3)))),
% apply(apply(apply(b,f(apply(X,apply(Y,apply(Z,V_3))))),apply(X,apply(Y,
% apply(Z,V_3)))),
% f(apply(X,apply(Y,apply(Z,V_3)))))) -> (false)
% Current number of equations to process: 3214
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [193]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),f(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3))),
% apply(apply(apply(b,f(apply(apply(X,Y),apply(Z,V_3)))),apply(apply(X,Y),
% apply(Z,V_3))),
% f(apply(apply(X,Y),apply(Z,V_3))))) -> (false)
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [194]
% (eq)(apply(apply(apply(apply(b,X),Y),apply(Z,V_3)),f(apply(X,apply(apply(
% apply(b,Y),Z),V_3)))),
% apply(f(apply(apply(apply(b,X),Y),apply(Z,V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [195]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(apply(apply(b,f(apply(X,apply(apply(apply(b,Y),Z),V_3)))),apply(X,
% apply(Y,
% apply(Z,V_3)))),
% f(apply(X,apply(Y,apply(Z,V_3)))))) -> (false)
% Current number of equations to process: 4297
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [196]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(apply(apply(b,f(apply(X,apply(Y,apply(Z,V_3))))),apply(X,apply(
% apply(
% apply(b,Y),Z),V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))) -> (false)
% Current number of equations to process: 4798
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [197]
% (eq)(apply(apply(apply(apply(b,X),Y),apply(Z,V_3)),f(apply(X,apply(apply(
% apply(b,Y),Z),V_3)))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(apply(apply(b,X),Y),apply(Z,V_3))))))
% -> (false)
% Current number of equations to process: 3291
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [198]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(apply(apply(b,f(apply(X,apply(Y,apply(Z,V_3))))),apply(X,apply(Y,
% apply(Z,V_3)))),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))) -> (false)
% Current number of equations to process: 3614
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [199]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(apply(apply(b,X),Y),
% apply(Z,V_3)))),
% apply(f(apply(apply(apply(b,X),Y),apply(Z,V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [200]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(apply(apply(b,X),Y),
% apply(Z,V_3)))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(apply(apply(b,X),Y),apply(Z,V_3))))))
% -> (false)
% Current number of equations to process: 4439
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [201]
% (eq)(apply(apply(apply(s,X),apply(Y,Z)),f(apply(apply(s,X),apply(Y,Z)))),
% apply(f(apply(apply(apply(apply(apply(b,b),s),X),Y),Z)),apply(apply(apply(s,X),
% apply(Y,Z)),
% f(apply(apply(s,X),
% apply(Y,Z)))))) ->
% (false)
% Current number of equations to process: 4762
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [202]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),f(apply(apply(X,Y),apply(Z,V_3)))),
% apply(f(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3)),apply(apply(
% apply(X,Y),
% apply(Z,V_3)),
% f(apply(apply(X,Y),
% apply(Z,V_3))))))
% -> (false)
% Rule
% [201]
% (eq)(apply(apply(apply(s,X),apply(Y,Z)),f(apply(apply(s,X),apply(Y,Z)))),
% apply(f(apply(apply(apply(apply(apply(b,b),s),X),Y),Z)),apply(apply(apply(s,X),
% apply(Y,Z)),
% f(apply(apply(s,X),
% apply(Y,Z)))))) ->
% (false) collapsed.
% Current number of equations to process: 2946
% Current number of ordered equations: 2
% Current number of rules: 198
% New rule produced :
% [203]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(apply(apply(b,X),Y),apply(Z,V_3))),apply(apply(X,apply(
% apply(
% apply(b,Y),Z),V_3)),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 2946
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [204]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(apply(apply(b,X),Y),apply(Z,V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(apply(
% apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 2946
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [205]
% (eq)(apply(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),f(apply(X,
% apply(Y,
% apply(Z,V_3))))),
% apply(f(apply(apply(apply(b,X),Y),apply(Z,V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 4051
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [206]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(apply(apply(b,X),apply(
% apply(b,Y),Z)),V_3))),
% apply(f(apply(apply(apply(b,X),Y),apply(Z,V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 4051
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [207]
% (eq)(apply(apply(apply(apply(b,X),Y),apply(Z,V_3)),f(apply(apply(apply(b,X),Y),
% apply(Z,V_3)))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 4682
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [208]
% (eq)(apply(apply(apply(s,X),apply(Y,Z)),f(apply(apply(s,X),apply(Y,Z)))),
% apply(f(apply(apply(s,X),apply(Y,Z))),apply(apply(apply(s,X),apply(Y,Z)),
% f(apply(apply(apply(apply(apply(b,b),s),X),Y),Z)))))
% -> (false)
% Current number of equations to process: 3237
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [209]
% (eq)(apply(apply(apply(X,Y),apply(Z,V_3)),f(apply(apply(X,Y),apply(Z,V_3)))),
% apply(f(apply(apply(X,Y),apply(Z,V_3))),apply(apply(apply(X,Y),apply(Z,V_3)),
% f(apply(apply(apply(apply(apply(b,b),X),Y),Z),V_3)))))
% -> (false)
% Rule
% [208]
% (eq)(apply(apply(apply(s,X),apply(Y,Z)),f(apply(apply(s,X),apply(Y,Z)))),
% apply(f(apply(apply(s,X),apply(Y,Z))),apply(apply(apply(s,X),apply(Y,Z)),
% f(apply(apply(apply(apply(apply(b,b),s),X),Y),Z)))))
% -> (false) collapsed.
% Current number of equations to process: 3519
% Current number of ordered equations: 2
% Current number of rules: 204
% New rule produced :
% [210]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(apply(apply(b,X),Y),
% apply(Z,V_3)))))) ->
% (false)
% Current number of equations to process: 3519
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [211]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),
% f(apply(apply(apply(b,X),Y),apply(Z,V_3))))))
% -> (false)
% Current number of equations to process: 3519
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [212]
% (eq)(apply(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),f(apply(X,
% apply(Y,
% apply(Z,V_3))))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(apply(apply(b,X),Y),apply(Z,V_3))))))
% -> (false)
% Current number of equations to process: 4619
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [213]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(apply(apply(b,X),apply(
% apply(b,Y),Z)),V_3))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(apply(apply(b,X),Y),apply(Z,V_3))))))
% -> (false)
% Current number of equations to process: 4619
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [214]
% (eq)(apply(apply(apply(apply(b,X),Y),apply(Z,V_3)),f(apply(apply(apply(b,X),Y),
% apply(Z,V_3)))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 2210
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [215]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(apply(apply(b,X),Y),
% apply(Z,V_3)),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 2535
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [216]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(apply(apply(b,X),Y),
% apply(Z,V_3)),f(apply(X,
% apply(apply(
% apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [217]
% (eq)(apply(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),f(apply(X,
% apply(Y,
% apply(Z,V_3))))),
% apply(apply(apply(b,f(apply(X,apply(Y,apply(Z,V_3))))),apply(X,apply(Y,
% apply(Z,V_3)))),
% f(apply(X,apply(Y,apply(Z,V_3)))))) -> (false)
% Current number of equations to process: 3194
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [218]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(apply(apply(b,X),apply(
% apply(b,Y),Z)),V_3))),
% apply(apply(apply(b,f(apply(X,apply(Y,apply(Z,V_3))))),apply(X,apply(Y,
% apply(Z,V_3)))),
% f(apply(X,apply(Y,apply(Z,V_3)))))) -> (false)
% Current number of equations to process: 3512
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [219]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3)),apply(apply(X,
% apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,
% apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 3826
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [220]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(apply(apply(b,X),apply(
% apply(b,Y),Z)),V_3)))))
% -> (false)
% Current number of equations to process: 4147
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [221]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(
% apply(
% apply(
% apply(
% apply(
% apply(
% apply(s,s),b),b),b),
% f(
% apply(X,
% apply(Y,Z)))),
% apply(b,X)),Y),Z),
% f(apply(X,apply(Y,Z)))))
% -> (false)
% Current number of equations to process: 4466
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [222]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(
% apply(
% apply(b,Y),Z),V_3)),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 4748
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [223]
% (eq)(apply(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),f(apply(X,
% apply(Y,
% apply(Z,V_3))))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 3184
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [224]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(apply(apply(b,X),apply(
% apply(b,Y),Z)),V_3))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 3184
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [225]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(X,apply(Y,apply(Z,V_3))))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 3775
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [226]
% (eq)(apply(apply(apply(apply(b,X),apply(apply(b,Y),Z)),V_3),f(apply(X,
% apply(Y,
% apply(Z,V_3))))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 4260
% Current number of ordered equations: 1
% Current number of rules: 221
% New rule produced :
% [227]
% (eq)(apply(apply(X,apply(Y,apply(Z,V_3))),f(apply(apply(apply(b,X),apply(
% apply(b,Y),Z)),V_3))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 4260
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [228]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(X,apply(apply(
% apply(b,Y),Z),V_3)))),
% apply(apply(apply(b,f(apply(X,apply(Y,apply(Z,V_3))))),apply(X,apply(Y,
% apply(Z,V_3)))),
% f(apply(X,apply(Y,apply(Z,V_3)))))) -> (false)
% Current number of equations to process: 4850
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [229]
% (eq)(apply(apply(apply(apply(b,X),Y),apply(Z,V_3)),f(apply(X,apply(apply(
% apply(b,Y),Z),V_3)))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 2731
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [230]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(X,apply(apply(
% apply(b,Y),Z),V_3)))),
% apply(f(apply(apply(apply(b,X),Y),apply(Z,V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 3033
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [231]
% (eq)(apply(apply(apply(apply(b,X),Y),apply(Z,V_3)),f(apply(X,apply(apply(
% apply(b,Y),Z),V_3)))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 3339
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [232]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(X,apply(apply(
% apply(b,Y),Z),V_3)))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(apply(apply(b,X),Y),apply(Z,V_3))))))
% -> (false)
% Current number of equations to process: 3642
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [233]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(apply(apply(b,X),Y),
% apply(Z,V_3)))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 3943
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [234]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(apply(apply(b,X),Y),
% apply(Z,V_3)))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 4244
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [235]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(X,apply(apply(
% apply(b,Y),Z),V_3)))),
% apply(f(apply(X,apply(apply(apply(b,Y),Z),V_3))),apply(apply(X,apply(Y,
% apply(Z,V_3))),
% f(apply(X,apply(Y,apply(Z,V_3)))))))
% -> (false)
% Current number of equations to process: 4546
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [236]
% (eq)(apply(apply(X,apply(apply(apply(b,Y),Z),V_3)),f(apply(X,apply(apply(
% apply(b,Y),Z),V_3)))),
% apply(f(apply(X,apply(Y,apply(Z,V_3)))),apply(apply(X,apply(Y,apply(Z,V_3))),
% f(apply(X,apply(apply(apply(b,Y),Z),V_3))))))
% -> (false)
% Current number of equations to process: 1817
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [237]
% apply(apply(X,apply(Y,Z)),apply(apply(apply(s,V_3),Y),Z)) <->
% apply(apply(apply(s,X),apply(V_3,Z)),apply(Y,Z))
% Current number of equations to process: 2248
% Current number of ordered equations: 1
% Current number of rules: 232
% New rule produced :
% [238]
% apply(apply(apply(s,X),apply(V_3,Z)),apply(Y,Z)) <->
% apply(apply(X,apply(Y,Z)),apply(apply(apply(s,V_3),Y),Z))
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [239]
% apply(apply(X,apply(Z,V_3)),apply(Y,apply(Z,V_3))) <->
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),s),X),Y),Z),V_3)
% Current number of equations to process: 3923
% Current number of ordered equations: 1
% Current number of rules: 234
% New rule produced :
% [240]
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),b),s),X),Y),Z),V_3)
% <-> apply(apply(X,apply(Z,V_3)),apply(Y,apply(Z,V_3)))
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [241]
% apply(apply(X,apply(Y,Z)),apply(apply(apply(b,Z),Y),Z)) <->
% apply(apply(apply(apply(apply(b,s),s),X),Y),Z)
% Current number of equations to process: 3569
% Current number of ordered equations: 3
% Current number of rules: 236
% New rule produced :
% [242]
% apply(apply(apply(X,Y),apply(Z,Y)),apply(V_3,Y)) <->
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),s),s),X),Z),V_3),Y)
% Current number of equations to process: 3569
% Current number of ordered equations: 2
% Current number of rules: 237
% New rule produced :
% [243]
% apply(apply(apply(apply(apply(b,s),s),X),Y),Z) <->
% apply(apply(X,apply(Y,Z)),apply(apply(apply(b,Z),Y),Z))
% Current number of equations to process: 3569
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [244]
% apply(apply(apply(apply(apply(apply(apply(apply(b,b),b),s),s),X),Z),V_3),Y)
% <-> apply(apply(apply(X,Y),apply(Z,Y)),apply(V_3,Y))
% Current number of equations to process: 3569
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [245]
% (eq)(apply(apply(apply(apply(s,s),X),Y),f(apply(apply(apply(s,s),X),Y))),
% apply(apply(apply(apply(apply(apply(apply(apply(apply(s,b),b),b),s),apply(s,b)),Y),X),Y),
% f(apply(apply(apply(s,s),X),Y)))) -> (false)
% Current number of equations to process: 4795
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [246]
% apply(X,apply(apply(apply(b,Y),Z),apply(V_3,V_4))) <->
% apply(apply(apply(b,X),Y),apply(apply(apply(b,Z),V_3),V_4))
% Current number of equations to process: 3517
% Current number of ordered equations: 3
% Current number of rules: 241
% New rule produced :
% [247]
% apply(X,apply(apply(apply(apply(apply(b,b),Y),Z),V_3),V_4)) <->
% apply(apply(apply(b,X),apply(Y,Z)),apply(V_3,V_4))
% Current number of equations to process: 3517
% Current number of ordered equations: 2
% Current number of rules: 242
% New rule produced :
% [248]
% apply(apply(apply(b,X),Y),apply(apply(apply(b,Z),V_3),V_4)) <->
% apply(X,apply(apply(apply(b,Y),Z),apply(V_3,V_4)))
% Current number of equations to process: 3517
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [249]
% apply(apply(apply(b,X),apply(Y,Z)),apply(V_3,V_4)) <->
% apply(X,apply(apply(apply(apply(apply(b,b),Y),Z),V_3),V_4))
% Current number of equations to process: 3517
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [250]
% apply(apply(apply(s,X),apply(apply(b,Y),Z)),V_3) <->
% apply(apply(apply(apply(apply(b,b),X),V_3),Y),apply(Z,V_3))
% Current number of equations to process: 3828
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced :
% [251]
% apply(apply(apply(apply(apply(b,b),X),V_3),Y),apply(Z,V_3)) <->
% apply(apply(apply(s,X),apply(apply(b,Y),Z)),V_3)
% Current number of equations to process: 3828
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [252]
% apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4))) <->
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),apply(V_3,V_4))
% Current number of equations to process: 3605
% Current number of ordered equations: 3
% Current number of rules: 247
% New rule produced :
% [253]
% apply(apply(apply(b,X),apply(apply(b,Y),Z)),apply(V_3,V_4)) <->
% apply(X,apply(Y,apply(apply(apply(b,Z),V_3),V_4)))
% Current number of equations to process: 3605
% Current number of ordered equations: 2
% Current number of rules: 248
% New rule produced :
% [254]
% apply(apply(X,Y),apply(apply(apply(b,Z),V_3),V_4)) <->
% apply(apply(apply(apply(apply(b,b),X),Y),Z),apply(V_3,V_4))
% Current number of equations to process: 3605
% Current number of ordered equations: 1
% Current number of rules: 249
% New rule produced :
% [255]
% apply(apply(apply(apply(apply(b,b),X),Y),Z),apply(V_3,V_4)) <->
% apply(apply(X,Y),apply(apply(apply(b,Z),V_3),V_4))
% Rule
% [70]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),
% f(
% apply(
% apply(
% apply(b,X),Y),Z))),X),
% apply(Y,Z)),
% f(apply(X,apply(Y,Z)))))
% -> (false) collapsed.
% Rule
% [93]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% f(apply(
% apply(
% apply(b,X),Y),Z))),X),
% apply(Y,Z)),
% f(apply(X,
% apply(Y,Z)))))
% -> (false) collapsed.
% Rule
% [94]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% f(apply(
% apply(
% apply(b,X),Y),Z))),X),
% apply(Y,Z)),
% f(apply(X,
% apply(Y,Z)))))
% -> (false) collapsed.
% Rule
% [105]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(apply(apply(b,X),Y),Z))),
% apply(apply(apply(apply(apply(apply(b,b),b),f(apply(apply(apply(b,X),Y),Z))),X),
% apply(Y,Z)),f(apply(X,apply(Y,Z))))) -> (false) collapsed.
% Rule
% [106]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(X,apply(Y,Z)))),apply(apply(apply(
% apply(
% apply(
% apply(b,b),b),
% f(
% apply(
% apply(
% apply(b,X),Y),Z))),X),
% apply(Y,Z)),
% f(apply(apply(
% apply(b,X),Y),Z))))
% -> (false) collapsed.
% Rule
% [132]
% (eq)(apply(apply(apply(apply(b,X),Y),Z),f(apply(X,apply(Y,Z)))),apply(
% apply(
% apply(
% apply(
% apply(
% apply(b,b),b),
% f(apply(
% apply(
% apply(b,X),Y),Z))),X),
% apply(Y,Z)),
% f(apply(
% apply(
% apply(b,X),Y),Z))))
% -> (false) collapsed.
% Rule
% [133]
% (eq)(apply(apply(X,apply(Y,Z)),f(apply(apply(apply(b,X),Y),Z))),apply(
% Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------