TSTP Solution File: ALG005-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : ALG005-1 : TPTP v6.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n049.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 00:18:01 EDT 2014
% Result : Timeout 300.09s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : ALG005-1 : TPTP v6.0.0. Released v2.2.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n049.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 15:31:53 CDT 2014
% % CPUTime : 300.09
% Processing problem /tmp/CiME_34944_n049.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant; multiply : 2; difference : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% difference(X,difference(Y,X)) = X;
% difference(X,difference(X,Y)) = difference(Y,difference(Y,X));
% difference(difference(X,Y),Z) = difference(difference(X,Z),difference(Y,Z));
% multiply(X,Y) = difference(X,difference(X,Y));
% ";
%
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% multiply lr_lex;
% difference mul;
% ";
%
% let p1 = precedence F "
% multiply > difference > a > b > c";
%
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% multiply mul;
% difference mul;
% ";
%
% let p2 = precedence F "
% multiply > difference > a = b = c";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(multiply(a,b),c) = multiply(a,multiply(b,c));"
% ;
% (*
% 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 = { difference(X,difference(Y,X)) = X,
% difference(X,difference(X,Y)) =
% difference(Y,difference(Y,X)),
% difference(difference(X,Y),Z) =
% difference(difference(X,Z),difference(Y,Z)),
% multiply(X,Y) = difference(X,difference(X,Y)) }
% (4 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(multiply(a,b),c) =
% multiply(a,multiply(b,c)) } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] difference(X,difference(Y,X)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 1
% New rule produced : [2] multiply(X,Y) -> difference(X,difference(X,Y))
% The conjecture has been reduced.
% Conjecture is now:
% difference(difference(a,difference(a,b)),difference(difference(a,difference(a,b)),c)) =
% difference(a,difference(a,difference(b,difference(b,c))))
%
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 2
% New rule produced :
% [3] difference(X,difference(X,Y)) <-> difference(Y,difference(Y,X))
% The conjecture has been reduced.
% Conjecture is now:
% difference(c,difference(c,difference(b,difference(b,a)))) = difference(a,
% difference(a,
% difference(c,
% difference(c,b))))
%
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 3
% New rule produced :
% [4]
% difference(difference(X,Y),Z) <-> difference(difference(X,Z),difference(Y,Z))
% Current number of equations to process: 1
% Current number of ordered equations: 2
% Current number of rules: 4
% New rule produced :
% [5]
% difference(difference(X,Z),difference(Y,Z)) <-> difference(difference(X,Y),Z)
% Current number of equations to process: 1
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced : [6] difference(difference(X,Y),Y) -> difference(X,Y)
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7] difference(difference(X,Y),difference(X,Y)) -> difference(Y,Y)
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] difference(Y,Y) <-> difference(difference(X,X),Y)
% Current number of equations to process: 28
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced : [9] difference(difference(X,X),Y) <-> difference(Y,Y)
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10] difference(difference(X,difference(X,Y)),Y) -> difference(Y,Y)
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] difference(difference(X,Y),X) -> difference(X,X)
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [12] difference(Z,Z) <-> difference(difference(difference(X,X),Y),Z)
% Current number of equations to process: 43
% Current number of ordered equations: 2
% Current number of rules: 12
% New rule produced :
% [13] difference(difference(Y,Y),difference(Z,X)) -> difference(X,X)
% Current number of equations to process: 43
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced :
% [14] difference(difference(difference(X,X),Y),Z) <-> difference(Z,Z)
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15] difference(X,difference(X,difference(Y,Y))) -> difference(X,X)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16] difference(difference(X,difference(Z,Z)),Y) -> difference(X,Y)
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17] difference(difference(difference(X,Y),Z),X) -> difference(X,X)
% Current number of equations to process: 45
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [18] difference(difference(X,difference(Y,Z)),Y) -> difference(X,Y)
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] difference(X,X) <-> difference(Y,Y)
% Rule [7] difference(difference(X,Y),difference(X,Y)) -> difference(Y,Y)
% collapsed.
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [20] difference(X,difference(Y,Y)) -> X
% Rule [15] difference(X,difference(X,difference(Y,Y))) -> difference(X,X)
% collapsed.
% Rule [16] difference(difference(X,difference(Z,Z)),Y) -> difference(X,Y)
% collapsed.
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 17
% Rule [12] difference(Z,Z) <-> difference(difference(difference(X,X),Y),Z) is composed into
% [12] difference(Z,Z) <-> difference(Y,Y)
% New rule produced :
% [21] difference(difference(difference(X,X),Y),Z) -> difference(Y,Y)
% Rule [14] difference(difference(difference(X,X),Y),Z) <-> difference(Z,Z)
% collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [22] difference(Z,Z) <-> difference(difference(X,X),Y)
% Rule [8] difference(Y,Y) <-> difference(difference(X,X),Y) collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 1
% Current number of rules: 17
% Rule [22] difference(Z,Z) <-> difference(difference(X,X),Y) is composed into
% [22] difference(Z,Z) <-> difference(c,c)
% New rule produced : [23] difference(difference(X,X),Y) <-> difference(Z,Z)
% Rule [9] difference(difference(X,X),Y) <-> difference(Y,Y) collapsed.
% Rule [13] difference(difference(Y,Y),difference(Z,X)) -> difference(X,X)
% collapsed.
% Rule [21] difference(difference(difference(X,X),Y),Z) -> difference(Y,Y)
% collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [24] difference(X,difference(difference(Y,X),difference(Z,X))) -> X
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [25]
% difference(difference(X,difference(Y,Z)),Z) -> difference(difference(X,Y),Z)
% Rule [10] difference(difference(X,difference(X,Y)),Y) -> difference(Y,Y)
% collapsed.
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [26]
% difference(difference(difference(X,Y),Z),Y) -> difference(difference(X,Z),Y)
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [27]
% difference(difference(X,Y),difference(Y,difference(Y,X))) -> difference(X,Y)
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [28]
% difference(difference(X,Y),difference(difference(Z,X),Y)) -> difference(X,Y)
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [29]
% difference(X,difference(Y,difference(Z,X))) ->
% difference(difference(X,Y),difference(Z,X))
% Rule [24] difference(X,difference(difference(Y,X),difference(Z,X))) -> X
% collapsed.
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [30]
% difference(difference(difference(Y,difference(Y,X)),Z),X) -> difference(X,X)
% Current number of equations to process: 183
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [31]
% difference(difference(X,difference(Z,difference(Z,Y))),Y) -> difference(X,Y)
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [32] difference(X,difference(X,difference(X,Y))) -> difference(X,Y)
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [33] difference(difference(X,Y),difference(Y,X)) -> difference(X,Y)
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [34]
% difference(difference(difference(X,Y),Z),difference(X,Z)) -> difference(Z,Z)
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [35]
% difference(difference(X,difference(X,difference(Y,Z))),Y) -> difference(Y,Y)
% Current number of equations to process: 261
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [36]
% difference(difference(difference(difference(X,Y),Z),V_3),X) ->
% difference(X,X)
% Current number of equations to process: 283
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [37]
% difference(difference(X,difference(difference(Y,Z),V_3)),Y) ->
% difference(X,Y)
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [38]
% difference(difference(X,Y),difference(X,difference(Y,Z))) -> difference(Y,Y)
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [39]
% difference(difference(X,difference(Z,difference(X,Y))),Y) -> difference(X,Y)
% Current number of equations to process: 383
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [40]
% difference(X,difference(X,difference(difference(Y,X),Z))) -> difference(Y,Y)
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [41] difference(X,difference(difference(Y,X),Z)) -> X
% Rule
% [40]
% difference(X,difference(X,difference(difference(Y,X),Z))) -> difference(Y,Y)
% collapsed.
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [42] difference(difference(X,Y),Z) <-> difference(difference(X,Z),Y)
% Rule [18] difference(difference(X,difference(Y,Z)),Y) -> difference(X,Y)
% collapsed.
% Rule
% [25]
% difference(difference(X,difference(Y,Z)),Z) -> difference(difference(X,Y),Z)
% collapsed.
% Rule
% [31]
% difference(difference(X,difference(Z,difference(Z,Y))),Y) -> difference(X,Y)
% collapsed.
% Rule
% [35]
% difference(difference(X,difference(X,difference(Y,Z))),Y) -> difference(Y,Y)
% collapsed.
% Rule
% [37]
% difference(difference(X,difference(difference(Y,Z),V_3)),Y) ->
% difference(X,Y) collapsed.
% Rule
% [39]
% difference(difference(X,difference(Z,difference(X,Y))),Y) -> difference(X,Y)
% collapsed.
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [43] difference(difference(X,Y),difference(Y,Z)) -> difference(X,Y)
% Rule
% [27]
% difference(difference(X,Y),difference(Y,difference(Y,X))) -> difference(X,Y)
% collapsed.
% Rule [33] difference(difference(X,Y),difference(Y,X)) -> difference(X,Y)
% collapsed.
% Current number of equations to process: 422
% Current number of ordered equations: 0
% Current number of rules: 24
% Rule [29]
% difference(X,difference(Y,difference(Z,X))) ->
% difference(difference(X,Y),difference(Z,X)) is composed into [29]
% difference(X,
% difference(Y,
% difference(Z,X)))
% ->
% difference(X,Y)
% New rule produced :
% [44] difference(difference(X,Y),difference(Z,X)) -> difference(X,Y)
% Current number of equations to process: 453
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [45] difference(X,difference(Y,difference(Y,difference(Z,X)))) -> X
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [46] difference(X,difference(difference(Y,Z),difference(X,Z))) -> X
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 27
% Rule [4]
% difference(difference(X,Y),Z) <->
% difference(difference(X,Z),difference(Y,Z)) is composed into [4]
% difference(
% difference(X,Y),Z)
% <->
% difference(
% difference(X,Z),Y)
% New rule produced :
% [47]
% difference(difference(X,Y),difference(Z,Y)) -> difference(difference(X,Y),Z)
% Rule
% [5]
% difference(difference(X,Z),difference(Y,Z)) <-> difference(difference(X,Y),Z)
% collapsed.
% Rule
% [28]
% difference(difference(X,Y),difference(difference(Z,X),Y)) -> difference(X,Y)
% collapsed.
% Rule
% [34]
% difference(difference(difference(X,Y),Z),difference(X,Z)) -> difference(Z,Z)
% collapsed.
% Rule [46] difference(X,difference(difference(Y,Z),difference(X,Z))) -> X
% collapsed.
% Current number of equations to process: 505
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [48] difference(X,difference(difference(difference(Y,X),Z),V_3)) -> X
% Current number of equations to process: 504
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [49]
% difference(difference(X,Y),difference(Z,difference(Z,Y))) -> difference(X,Y)
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [50]
% difference(difference(X,Y),difference(difference(Y,Z),V_3)) ->
% difference(X,Y)
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [51]
% difference(difference(difference(X,Y),Z),V_3) <->
% difference(difference(difference(X,Z),V_3),Y)
% Current number of equations to process: 633
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [52]
% difference(difference(difference(X,Z),V_3),Y) <->
% difference(difference(difference(X,Y),Z),V_3)
% Rule
% [30]
% difference(difference(difference(Y,difference(Y,X)),Z),X) -> difference(X,X)
% collapsed.
% Current number of equations to process: 633
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [53]
% difference(difference(X,difference(X,Y)),Z) <->
% difference(difference(Y,Z),difference(Y,X))
% Current number of equations to process: 758
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [54]
% difference(difference(Y,Z),difference(Y,X)) <->
% difference(difference(X,difference(X,Y)),Z)
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [55]
% difference(X,difference(Y,difference(difference(Z,X),V_3))) ->
% difference(X,Y)
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [56]
% difference(difference(X,Y),difference(difference(Z,X),V_3)) ->
% difference(X,Y)
% Current number of equations to process: 954
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [57]
% difference(difference(difference(X,Y),Z),V_3) <->
% difference(difference(difference(X,V_3),Z),Y)
% Current number of equations to process: 992
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [58]
% difference(difference(X,Y),difference(X,Z)) <->
% difference(difference(Z,Y),difference(Z,X))
% Current number of equations to process: 1086
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [59]
% difference(X,difference(X,difference(difference(X,Y),Z))) ->
% difference(difference(X,Y),Z)
% Current number of equations to process: 1169
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [60]
% difference(X,difference(X,difference(Y,Z))) <->
% difference(difference(X,difference(X,Y)),Z)
% The conjecture has been reduced.
% Conjecture is now:
% difference(difference(c,difference(c,b)),difference(b,a)) = difference(
% difference(c,
% difference(c,b)),
% difference(c,a))
%
% Current number of equations to process: 1195
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [61]
% difference(difference(X,difference(X,Y)),Z) <->
% difference(X,difference(X,difference(Y,Z)))
% Current number of equations to process: 1195
% Current number of ordered equations: 0
% Current number of rules: 37
% Rule [61]
% difference(difference(X,difference(X,Y)),Z) <->
% difference(X,difference(X,difference(Y,Z))) is composed into [61]
% difference(
% difference(X,
% difference(X,Y)),Z)
% <->
% difference(
% difference(X,Z),
% difference(X,Y))
% New rule produced :
% [62]
% difference(X,difference(X,difference(Y,Z))) ->
% difference(difference(X,Z),difference(X,Y))
% Rule [32] difference(X,difference(X,difference(X,Y))) -> difference(X,Y)
% collapsed.
% Rule [45] difference(X,difference(Y,difference(Y,difference(Z,X)))) -> X
% collapsed.
% Rule
% [59]
% difference(X,difference(X,difference(difference(X,Y),Z))) ->
% difference(difference(X,Y),Z) collapsed.
% Rule
% [60]
% difference(X,difference(X,difference(Y,Z))) <->
% difference(difference(X,difference(X,Y)),Z) collapsed.
% Current number of equations to process: 1297
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [63]
% difference(difference(X,Y),Z) <->
% difference(difference(X,Z),difference(Y,difference(Z,V_3)))
% Current number of equations to process: 1419
% Current number of ordered equations: 2
% Current number of rules: 35
% New rule produced :
% [64]
% difference(difference(X,Z),difference(Y,difference(Z,V_3))) <->
% difference(difference(X,Y),Z)
% Current number of equations to process: 1419
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [65]
% difference(difference(difference(X,Y),Z),difference(Y,V_3)) ->
% difference(difference(X,Y),Z)
% Current number of equations to process: 1584
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [66]
% difference(X,difference(difference(Y,difference(Z,X)),V_3)) ->
% difference(X,difference(Y,V_3))
% Current number of equations to process: 1639
% Current number of ordered equations: 2
% Current number of rules: 38
% New rule produced :
% [67]
% difference(difference(X,Z),difference(Y,difference(V_3,X))) ->
% difference(difference(X,Y),Z)
% Current number of equations to process: 1639
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [68]
% difference(difference(X,Z),difference(X,difference(X,Y))) ->
% difference(difference(X,Y),Z)
% Current number of equations to process: 1839
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [69]
% difference(difference(X,difference(X,Y)),difference(Z,Y)) ->
% difference(Y,difference(Y,X))
% Current number of equations to process: 1914
% Current number of ordered equations: 0
% Current number of rules: 41
% Rule [63]
% difference(difference(X,Y),Z) <->
% difference(difference(X,Z),difference(Y,difference(Z,V_3))) is composed into
% [63] difference(difference(X,Y),Z) <-> difference(difference(X,Z),Y)
% New rule produced :
% [70]
% difference(difference(X,Y),difference(Z,difference(Y,V_3))) ->
% difference(difference(X,Y),Z)
% Rule
% [38]
% difference(difference(X,Y),difference(X,difference(Y,Z))) -> difference(Y,Y)
% collapsed.
% Rule
% [64]
% difference(difference(X,Z),difference(Y,difference(Z,V_3))) <->
% difference(difference(X,Y),Z) collapsed.
% Current number of equations to process: 2002
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [71]
% difference(difference(difference(X,Y),Z),difference(V_3,X)) ->
% difference(difference(X,Y),Z)
% Current number of equations to process: 2082
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [72]
% difference(X,difference(difference(difference(difference(Y,X),Z),V_3),V_4))
% -> X
% Current number of equations to process: 2152
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [73]
% difference(X,difference(difference(Y,V_3),difference(Y,difference(Z,X)))) ->
% X
% Current number of equations to process: 2216
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [74]
% difference(difference(Y,difference(Z,X)),difference(Y,X)) ->
% difference(X,difference(X,Y))
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [75]
% difference(X,difference(difference(X,difference(X,Y)),Z)) ->
% difference(X,difference(Y,Z))
% Current number of equations to process: 2395
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [76]
% difference(X,difference(Z,difference(X,Y))) <->
% difference(X,difference(Y,difference(X,Z)))
% Current number of equations to process: 2399
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [77]
% difference(X,difference(difference(X,Y),difference(X,Z))) ->
% difference(X,difference(Z,Y))
% Current number of equations to process: 2553
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [78]
% difference(X,difference(Y,difference(Z,difference(V_3,X)))) ->
% difference(X,difference(Y,Z))
% Rule
% [73]
% difference(X,difference(difference(Y,V_3),difference(Y,difference(Z,X)))) ->
% X collapsed.
% Current number of equations to process: 2637
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [79]
% difference(X,difference(Y,difference(Y,Z))) <->
% difference(X,difference(Y,difference(X,Z)))
% Current number of equations to process: 2749
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [80]
% difference(X,difference(Y,difference(X,Z))) <->
% difference(X,difference(Y,difference(Y,Z)))
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [81]
% difference(X,difference(Z,difference(X,Y))) <->
% difference(X,difference(Y,difference(Y,Z)))
% Current number of equations to process: 2814
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [82]
% difference(X,difference(Y,difference(Y,Z))) <->
% difference(X,difference(Z,difference(X,Y)))
% Current number of equations to process: 2814
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [83]
% difference(X,difference(Y,difference(X,difference(X,Z)))) ->
% difference(X,difference(Y,Z))
% Current number of equations to process: 3117
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [84]
% difference(X,difference(difference(difference(Y,Z),V_3),difference(X,Z))) ->
% X
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [85]
% difference(difference(difference(difference(X,Y),Z),V_3),difference(X,Z)) ->
% difference(c,c)
% Current number of equations to process: 3309
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [86]
% difference(difference(difference(X,Y),Z),difference(X,difference(Y,V_3))) ->
% difference(Y,Y)
% Current number of equations to process: 3416
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [87]
% difference(difference(X,V_3),difference(Y,difference(Z,V_3))) <->
% difference(difference(X,difference(Y,Z)),V_3)
% Current number of equations to process: 3515
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [88]
% difference(difference(X,difference(Y,Z)),V_3) <->
% difference(difference(X,V_3),difference(Y,difference(Z,V_3)))
% Current number of equations to process: 3515
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [89]
% difference(difference(difference(difference(X,V_3),Y),Z),V_3) ->
% difference(difference(difference(X,Y),Z),V_3)
% Current number of equations to process: 3903
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [90]
% difference(difference(difference(X,Y),Z),difference(difference(X,Z),Y)) ->
% difference(Y,Y)
% Current number of equations to process: 4035
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [91]
% difference(difference(X,V_3),difference(difference(Y,V_3),Z)) <->
% difference(difference(X,difference(Y,Z)),V_3)
% Current number of equations to process: 4150
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [92]
% difference(difference(X,difference(Y,Z)),V_3) <->
% difference(difference(X,V_3),difference(difference(Y,V_3),Z))
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [93]
% difference(difference(difference(difference(X,difference(X,Y)),Z),V_3),Y) ->
% difference(Y,Y)
% Current number of equations to process: 4600
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [94]
% difference(difference(X,Y),difference(X,difference(Z,difference(Z,Y)))) ->
% difference(Y,Y)
% Current number of equations to process: 4652
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [95]
% difference(difference(X,Y),difference(difference(Z,V_3),difference(Z,Y))) ->
% difference(X,Y)
% Current number of equations to process: 4744
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [96]
% difference(difference(difference(difference(difference(X,Y),Z),V_3),V_4),X)
% -> difference(X,X)
% Current number of equations to process: 4885
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [97]
% difference(difference(X,Y),difference(X,difference(difference(Y,Z),V_3))) ->
% difference(Y,Y)
% Current number of equations to process: 4964
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [98]
% difference(difference(X,Y),difference(Z,difference(X,difference(Y,V_3)))) ->
% difference(X,Y)
% Current number of equations to process: 2563
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [99]
% difference(difference(X,Y),difference(difference(difference(Z,X),Y),V_3)) ->
% difference(X,Y)
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [100]
% difference(difference(difference(X,Y),Z),V_3) <->
% difference(difference(difference(X,Z),V_3),difference(Y,Z))
% Current number of equations to process: 2839
% Current number of ordered equations: 3
% Current number of rules: 69
% New rule produced :
% [101]
% difference(difference(difference(X,Y),Z),difference(V_3,Y)) <->
% difference(difference(difference(X,Z),V_3),Y)
% Current number of equations to process: 2839
% Current number of ordered equations: 2
% Current number of rules: 70
% New rule produced :
% [102]
% difference(difference(difference(X,Z),V_3),Y) <->
% difference(difference(difference(X,Y),Z),difference(V_3,Y))
% Current number of equations to process: 2839
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [103]
% difference(difference(difference(X,Z),V_3),difference(Y,Z)) <->
% difference(difference(difference(X,Y),Z),V_3)
% Current number of equations to process: 2839
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [104]
% difference(difference(X,Y),difference(X,difference(Z,Y))) ->
% difference(difference(X,Y),difference(X,Z))
% Current number of equations to process: 3884
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [105]
% difference(difference(Y,difference(Y,X)),difference(Y,difference(Z,X))) ->
% difference(X,X)
% Current number of equations to process: 4069
% Current number of ordered equations: 0
% Current number of rules: 74
% Rule [92]
% difference(difference(X,difference(Y,Z)),V_3) <->
% difference(difference(X,V_3),difference(difference(Y,V_3),Z)) is composed into
% [92]
% difference(difference(X,difference(Y,Z)),V_3) <->
% difference(difference(X,V_3),difference(Y,Z))
% New rule produced :
% [106]
% difference(difference(X,Y),difference(difference(Z,Y),V_3)) ->
% difference(difference(X,Y),difference(Z,V_3))
% Rule
% [90]
% difference(difference(difference(X,Y),Z),difference(difference(X,Z),Y)) ->
% difference(Y,Y) collapsed.
% Rule
% [91]
% difference(difference(X,V_3),difference(difference(Y,V_3),Z)) <->
% difference(difference(X,difference(Y,Z)),V_3) collapsed.
% Rule
% [99]
% difference(difference(X,Y),difference(difference(difference(Z,X),Y),V_3)) ->
% difference(X,Y) collapsed.
% Current number of equations to process: 4173
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [107]
% difference(difference(X,Y),difference(difference(Z,difference(Z,Y)),V_3)) ->
% difference(X,Y)
% Current number of equations to process: 4389
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [108]
% difference(difference(X,Y),difference(difference(difference(Y,Z),V_3),V_4))
% -> difference(X,Y)
% Current number of equations to process: 4503
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [109]
% difference(difference(difference(X,Y),Z),V_3) <->
% difference(difference(difference(X,Y),V_3),difference(Z,Y))
% Current number of equations to process: 4650
% Current number of ordered equations: 3
% Current number of rules: 75
% New rule produced :
% [110]
% difference(difference(difference(X,Y),Z),difference(V_3,Y)) <->
% difference(difference(difference(X,Z),Y),V_3)
% Current number of equations to process: 4650
% Current number of ordered equations: 2
% Current number of rules: 76
% New rule produced :
% [111]
% difference(difference(difference(X,Z),Y),V_3) <->
% difference(difference(difference(X,Y),Z),difference(V_3,Y))
% Current number of equations to process: 4650
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [112]
% difference(difference(difference(X,Y),V_3),difference(Z,Y)) <->
% difference(difference(difference(X,Y),Z),V_3)
% Current number of equations to process: 4650
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [113]
% difference(difference(X,difference(Y,Z)),difference(Z,difference(Z,Y))) ->
% difference(X,Y)
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [114]
% difference(difference(X,Y),difference(difference(difference(Z,X),V_3),V_4))
% -> difference(X,Y)
% Current number of equations to process: 2224
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [115]
% difference(X,difference(Y,difference(difference(difference(Z,X),V_3),V_4)))
% -> difference(X,Y)
% Current number of equations to process: 2390
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [116]
% difference(X,difference(Y,difference(Z,difference(Y,difference(V_3,X))))) ->
% difference(X,Y)
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 82
% Rule [111]
% difference(difference(difference(X,Z),Y),V_3) <->
% difference(difference(difference(X,Y),Z),difference(V_3,Y)) is composed into
% [111]
% difference(difference(difference(X,Z),Y),V_3) <->
% difference(difference(difference(X,Y),Z),V_3)
% Rule [109]
% difference(difference(difference(X,Y),Z),V_3) <->
% difference(difference(difference(X,Y),V_3),difference(Z,Y)) is composed into
% [109]
% difference(difference(difference(X,Y),Z),V_3) <->
% difference(difference(difference(X,Y),V_3),Z)
% Rule [102]
% difference(difference(difference(X,Z),V_3),Y) <->
% difference(difference(difference(X,Y),Z),difference(V_3,Y)) is composed into
% [102]
% difference(difference(difference(X,Z),V_3),Y) <->
% difference(difference(difference(X,Y),Z),V_3)
% Rule [100]
% difference(difference(difference(X,Y),Z),V_3) <->
% difference(difference(difference(X,Z),V_3),difference(Y,Z)) is composed into
% [100]
% difference(difference(difference(X,Y),Z),V_3) <->
% difference(difference(difference(X,Z),V_3),Y)
% New rule produced :
% [117]
% difference(difference(difference(X,Y),Z),difference(V_3,Y)) ->
% difference(difference(difference(X,Y),Z),V_3)
% Rule
% [84]
% difference(X,difference(difference(difference(Y,Z),V_3),difference(X,Z))) ->
% X collapsed.
% Rule
% [85]
% difference(difference(difference(difference(X,Y),Z),V_3),difference(X,Z)) ->
% difference(c,c) collapsed.
% Rule
% [101]
% difference(difference(difference(X,Y),Z),difference(V_3,Y)) <->
% difference(difference(difference(X,Z),V_3),Y) collapsed.
% Rule
% [103]
% difference(difference(difference(X,Z),V_3),difference(Y,Z)) <->
% difference(difference(difference(X,Y),Z),V_3) collapsed.
% Rule
% [110]
% difference(difference(difference(X,Y),Z),difference(V_3,Y)) <->
% difference(difference(difference(X,Z),Y),V_3) collapsed.
% Rule
% [112]
% difference(difference(difference(X,Y),V_3),difference(Z,Y)) <->
% difference(difference(difference(X,Y),Z),V_3) collapsed.
% Current number of equations to process: 2690
% Current number of ordered equations: 0
% Current number of rules: 77
% Rule [88]
% difference(difference(X,difference(Y,Z)),V_3) <->
% difference(difference(X,V_3),difference(Y,difference(Z,V_3))) is composed into
% [88]
% difference(difference(X,difference(Y,Z)),V_3) <->
% difference(difference(X,V_3),difference(Y,Z))
% New rule produced :
% [118]
% difference(difference(X,Y),difference(Z,difference(V_3,Y))) ->
% difference(difference(X,Y),difference(Z,V_3))
% Rule
% [49]
% difference(difference(X,Y),difference(Z,difference(Z,Y))) -> difference(X,Y)
% collapsed.
% Rule
% [87]
% difference(difference(X,V_3),difference(Y,difference(Z,V_3))) <->
% difference(difference(X,difference(Y,Z)),V_3) collapsed.
% Rule
% [95]
% difference(difference(X,Y),difference(difference(Z,V_3),difference(Z,Y))) ->
% difference(X,Y) collapsed.
% Rule
% [104]
% difference(difference(X,Y),difference(X,difference(Z,Y))) ->
% difference(difference(X,Y),difference(X,Z)) collapsed.
% Current number of equations to process: 2824
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [119]
% difference(difference(X,difference(Y,Z)),difference(Y,difference(V_3,Z))) ->
% difference(X,Y)
% Rule
% [105]
% difference(difference(Y,difference(Y,X)),difference(Y,difference(Z,X))) ->
% difference(X,X) collapsed.
% Current number of equations to process: 3010
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [120]
% difference(difference(X,difference(Y,Z)),difference(Z,difference(X,Y))) ->
% difference(X,Y)
% Current number of equations to process: 3231
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [121]
% difference(difference(X,difference(Y,V_3)),difference(difference(Y,Z),V_3))
% -> difference(X,difference(Y,V_3))
% Current number of equations to process: 3336
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [122]
% difference(difference(X,Y),Z) <->
% difference(difference(X,Z),difference(Y,difference(V_3,difference(V_3,Z))))
% Current number of equations to process: 3524
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [123]
% difference(difference(X,Z),difference(Y,difference(V_3,difference(V_3,Z))))
% <-> difference(difference(X,Y),Z)
% Current number of equations to process: 3524
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [124]
% difference(difference(X,Y),Z) <->
% difference(difference(X,Z),difference(Y,difference(difference(Z,V_3),V_4)))
% Current number of equations to process: 3928
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [125]
% difference(difference(X,Z),difference(Y,difference(difference(Z,V_3),V_4)))
% <-> difference(difference(X,Y),Z)
% Current number of equations to process: 3928
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [126]
% difference(difference(X,Y),Z) <->
% difference(difference(X,Z),difference(Y,difference(V_3,difference(Y,Z))))
% Current number of equations to process: 4373
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [127]
% difference(difference(X,Z),difference(Y,difference(V_3,difference(Y,Z)))) <->
% difference(difference(X,Y),Z)
% Current number of equations to process: 4373
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [128]
% difference(difference(difference(X,Y),Z),difference(V_3,difference(V_3,Y)))
% -> difference(difference(X,Y),Z)
% Current number of equations to process: 4821
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [129]
% difference(difference(difference(X,Y),Z),difference(difference(Y,V_3),V_4))
% -> difference(difference(X,Y),Z)
% Current number of equations to process: 4943
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [130]
% difference(difference(X,difference(X,Y)),difference(difference(Z,Y),V_3)) ->
% difference(X,difference(X,Y))
% Current number of equations to process: 2158
% Current number of ordered equations: 0
% Current number of rules: 85
% Rule [122]
% difference(difference(X,Y),Z) <->
% difference(difference(X,Z),difference(Y,difference(V_3,difference(V_3,Z)))) is composed into
% [122] difference(difference(X,Y),Z) <-> difference(difference(X,Z),Y)
% New rule produced :
% [131]
% difference(difference(X,Y),difference(Z,difference(V_3,difference(V_3,Y))))
% -> difference(difference(X,Y),Z)
% Rule
% [94]
% difference(difference(X,Y),difference(X,difference(Z,difference(Z,Y)))) ->
% difference(Y,Y) collapsed.
% Rule
% [123]
% difference(difference(X,Z),difference(Y,difference(V_3,difference(V_3,Z))))
% <-> difference(difference(X,Y),Z) collapsed.
% Current number of equations to process: 2286
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [132]
% difference(X,difference(difference(Y,V_4),difference(Y,difference(difference(Z,X),V_3))))
% -> X
% Current number of equations to process: 2428
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [133]
% difference(difference(difference(X,Y),Z),difference(difference(V_3,X),V_4))
% -> difference(difference(X,Y),Z)
% Current number of equations to process: 2617
% Current number of ordered equations: 0
% Current number of rules: 86
% Rule [124]
% difference(difference(X,Y),Z) <->
% difference(difference(X,Z),difference(Y,difference(difference(Z,V_3),V_4))) is composed into
% [124] difference(difference(X,Y),Z) <-> difference(difference(X,Z),Y)
% New rule produced :
% [134]
% difference(difference(X,Y),difference(Z,difference(difference(Y,V_3),V_4)))
% -> difference(difference(X,Y),Z)
% Rule
% [97]
% difference(difference(X,Y),difference(X,difference(difference(Y,Z),V_3))) ->
% difference(Y,Y) collapsed.
% Rule
% [125]
% difference(difference(X,Z),difference(Y,difference(difference(Z,V_3),V_4)))
% <-> difference(difference(X,Y),Z) collapsed.
% Current number of equations to process: 2778
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [135]
% difference(X,difference(difference(difference(difference(difference(Y,X),Z),V_3),V_4),V_5))
% -> X
% Current number of equations to process: 2971
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [136]
% difference(difference(difference(difference(X,Y),Z),V_3),V_4) <->
% difference(difference(difference(difference(X,V_3),Z),V_4),Y)
% Current number of equations to process: 3111
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [137]
% difference(difference(difference(difference(X,V_3),Z),V_4),Y) <->
% difference(difference(difference(difference(X,Y),Z),V_3),V_4)
% Rule
% [93]
% difference(difference(difference(difference(X,difference(X,Y)),Z),V_3),Y) ->
% difference(Y,Y) collapsed.
% Current number of equations to process: 3111
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [138]
% difference(difference(difference(difference(X,Y),Z),V_3),V_4) <->
% difference(difference(difference(difference(X,Z),V_3),V_4),Y)
% Current number of equations to process: 3830
% Current number of ordered equations: 3
% Current number of rules: 88
% New rule produced :
% [139]
% difference(difference(difference(difference(X,Y),Z),V_3),V_4) <->
% difference(difference(difference(difference(X,V_3),Y),V_4),Z)
% Current number of equations to process: 3830
% Current number of ordered equations: 2
% Current number of rules: 89
% New rule produced :
% [140]
% difference(difference(difference(difference(X,Z),V_3),V_4),Y) <->
% difference(difference(difference(difference(X,Y),Z),V_3),V_4)
% Current number of equations to process: 3830
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [141]
% difference(difference(difference(difference(X,V_3),Y),V_4),Z) <->
% difference(difference(difference(difference(X,Y),Z),V_3),V_4)
% Current number of equations to process: 3830
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [142]
% difference(difference(difference(X,difference(X,Y)),Z),V_3) <->
% difference(difference(difference(Y,Z),V_3),difference(Y,X))
% Current number of equations to process: 1694
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [143]
% difference(difference(difference(Y,Z),V_3),difference(Y,X)) <->
% difference(difference(difference(X,difference(X,Y)),Z),V_3)
% Current number of equations to process: 1694
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [144]
% difference(difference(difference(difference(X,Y),Z),V_3),V_4) <->
% difference(difference(difference(difference(X,Z),V_4),V_3),Y)
% Current number of equations to process: 2338
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [145]
% difference(difference(difference(difference(X,Z),V_4),V_3),Y) <->
% difference(difference(difference(difference(X,Y),Z),V_3),V_4)
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [146]
% difference(difference(difference(X,difference(X,Y)),Z),V_3) <->
% difference(difference(difference(Y,V_3),difference(Y,X)),Z)
% Current number of equations to process: 3109
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [147]
% difference(difference(difference(Y,V_3),difference(Y,X)),Z) <->
% difference(difference(difference(X,difference(X,Y)),Z),V_3)
% Current number of equations to process: 3109
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [148]
% difference(difference(difference(difference(X,Y),Z),V_3),V_4) <->
% difference(difference(difference(difference(X,V_3),V_4),Y),Z)
% Current number of equations to process: 3802
% Current number of ordered equations: 2
% Current number of rules: 98
% New rule produced :
% [149]
% difference(difference(difference(difference(X,Y),Z),V_3),V_4) <->
% difference(difference(difference(difference(X,Z),Y),V_4),V_3)
% Current number of equations to process: 3802
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [150]
% difference(difference(Z,V_3),difference(Z,difference(X,Y))) <->
% difference(difference(difference(X,Y),difference(X,Z)),V_3)
% Current number of equations to process: 4583
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [151]
% difference(difference(difference(X,Y),difference(X,Z)),V_3) <->
% difference(difference(Z,V_3),difference(Z,difference(X,Y)))
% Current number of equations to process: 4583
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [152]
% difference(difference(difference(Z,Y),V_3),difference(Z,X)) <->
% difference(difference(difference(X,Y),difference(X,Z)),V_3)
% Current number of equations to process: 933
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [153]
% difference(difference(difference(X,Y),difference(X,Z)),V_3) <->
% difference(difference(difference(Z,Y),V_3),difference(Z,X))
% Current number of equations to process: 933
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [154]
% difference(difference(difference(X,Y),difference(X,Z)),V_3) <->
% difference(difference(difference(Z,V_3),difference(Z,X)),Y)
% Current number of equations to process: 1820
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [155]
% difference(difference(X,difference(X,Y)),difference(Y,Z)) <->
% difference(difference(Z,difference(Z,Y)),difference(Y,X))
% Current number of equations to process: 2273
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [156]
% difference(difference(difference(X,difference(X,Y)),Z),V_3) <->
% difference(difference(difference(Y,difference(Y,X)),V_3),Z)
% Current number of equations to process: 2518
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [157]
% difference(difference(difference(Y,V_3),Z),difference(Y,X)) <->
% difference(difference(difference(X,difference(X,Y)),Z),V_3)
% Current number of equations to process: 2817
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [158]
% difference(difference(difference(X,difference(X,Y)),Z),V_3) <->
% difference(difference(difference(Y,V_3),Z),difference(Y,X))
% Current number of equations to process: 2817
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [159]
% difference(difference(X,difference(Y,Z)),difference(X,Y)) <->
% difference(difference(Z,difference(Z,Y)),difference(Y,X))
% Current number of equations to process: 3579
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [160]
% difference(difference(Z,difference(Z,Y)),difference(Y,X)) <->
% difference(difference(X,difference(Y,Z)),difference(X,Y))
% Current number of equations to process: 3579
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [161]
% difference(X,difference(difference(Y,difference(difference(V_3,X),V_4)),Z))
% -> difference(X,difference(Y,Z))
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [162]
% difference(difference(X,Z),difference(Y,difference(difference(V_3,X),V_4)))
% -> difference(difference(X,Y),Z)
% Current number of equations to process: 4585
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [163]
% difference(difference(Y,difference(difference(Z,X),V_3)),difference(Y,X)) ->
% difference(X,difference(X,Y))
% Current number of equations to process: 4989
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [164]
% difference(difference(difference(difference(X,Y),Z),V_3),V_4) <->
% difference(difference(difference(difference(X,V_3),V_4),Z),Y)
% Current number of equations to process: 1807
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [165]
% difference(difference(difference(difference(X,V_3),V_4),Z),Y) <->
% difference(difference(difference(difference(X,Y),Z),V_3),V_4)
% Current number of equations to process: 1807
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [166]
% difference(difference(difference(Z,V_3),Y),difference(Z,X)) <->
% difference(difference(difference(X,Y),difference(X,Z)),V_3)
% Current number of equations to process: 2834
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [167]
% difference(difference(difference(X,Y),difference(X,Z)),V_3) <->
% difference(difference(difference(Z,V_3),Y),difference(Z,X))
% Current number of equations to process: 2834
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [168]
% difference(difference(X,difference(Y,Z)),difference(X,Y)) <->
% difference(difference(Z,difference(Y,X)),difference(Z,Y))
% Current number of equations to process: 3851
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [169]
% difference(difference(X,V_3),difference(X,difference(Y,Z))) <->
% difference(difference(difference(X,difference(X,Y)),Z),V_3)
% Current number of equations to process: 4306
% Current number of ordered equations: 3
% Current number of rules: 119
% New rule produced :
% [170]
% difference(difference(X,V_3),difference(X,difference(Y,Z))) <->
% difference(difference(difference(X,V_3),difference(X,Y)),Z)
% Current number of equations to process: 4306
% Current number of ordered equations: 2
% Current number of rules: 120
% New rule produced :
% [171]
% difference(difference(difference(X,difference(X,Y)),Z),V_3) <->
% difference(difference(X,V_3),difference(X,difference(Y,Z)))
% Current number of equations to process: 4306
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [172]
% difference(difference(difference(X,V_3),difference(X,Y)),Z) <->
% difference(difference(X,V_3),difference(X,difference(Y,Z)))
% Current number of equations to process: 4306
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [173]
% difference(difference(X,difference(X,Z)),difference(Z,Y)) <->
% difference(difference(X,difference(Y,Z)),difference(X,Y))
% Current number of equations to process: 4354
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [174]
% difference(difference(X,difference(Y,Z)),difference(X,Y)) <->
% difference(difference(X,difference(X,Z)),difference(Z,Y))
% Current number of equations to process: 4354
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [175]
% difference(difference(X,Y),difference(X,difference(Z,V_3))) <->
% difference(difference(X,V_3),difference(X,difference(Z,Y)))
% Current number of equations to process: 2218
% Current number of ordered equations: 2
% Current number of rules: 125
% New rule produced :
% [176]
% difference(difference(X,V_3),difference(X,difference(Z,Y))) <->
% difference(difference(difference(X,Y),difference(X,Z)),V_3)
% Current number of equations to process: 2218
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [177]
% difference(difference(difference(X,Y),difference(X,Z)),V_3) <->
% difference(difference(X,V_3),difference(X,difference(Z,Y)))
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [178]
% difference(difference(X,difference(Y,Z)),difference(X,Y)) <->
% difference(difference(X,difference(Z,Y)),difference(X,Z))
% Current number of equations to process: 3889
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [179]
% difference(X,difference(Y,difference(Z,difference(difference(V_3,X),V_4))))
% -> difference(X,difference(Y,Z))
% Rule
% [132]
% difference(X,difference(difference(Y,V_4),difference(Y,difference(difference(Z,X),V_3))))
% -> X collapsed.
% Current number of equations to process: 4373
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [180]
% difference(difference(X,Y),difference(Z,difference(Z,V_3))) <->
% difference(difference(X,difference(V_3,difference(V_3,Z))),Y)
% Current number of equations to process: 4800
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [181]
% difference(difference(X,difference(V_3,difference(V_3,Z))),Y) <->
% difference(difference(X,Y),difference(Z,difference(Z,V_3)))
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [182]
% difference(X,difference(difference(difference(Y,Z),difference(Y,difference(V_3,X))),V_4))
% -> X
% Current number of equations to process: 1540
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [183]
% difference(X,difference(difference(Y,difference(Z,difference(V_3,X))),
% difference(Y,Z))) -> X
% Current number of equations to process: 2007
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [184]
% difference(X,difference(Z,difference(X,difference(Y,V_3)))) <->
% difference(X,difference(difference(Y,difference(X,Z)),V_3))
% Current number of equations to process: 2507
% Current number of ordered equations: 3
% Current number of rules: 133
% New rule produced :
% [185]
% difference(X,difference(difference(Y,difference(X,Z)),V_3)) <->
% difference(X,difference(Z,difference(X,difference(Y,V_3))))
% Current number of equations to process: 2507
% Current number of ordered equations: 2
% Current number of rules: 134
% New rule produced :
% [186]
% difference(difference(X,V_3),difference(Z,difference(X,Y))) <->
% difference(difference(X,difference(Y,difference(X,Z))),V_3)
% Current number of equations to process: 2507
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [187]
% difference(difference(X,difference(Y,difference(X,Z))),V_3) <->
% difference(difference(X,V_3),difference(Z,difference(X,Y)))
% Current number of equations to process: 2507
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [188]
% difference(difference(X,Y),difference(Z,difference(X,V_3))) <->
% difference(difference(X,Y),difference(V_3,difference(X,Z)))
% Current number of equations to process: 4643
% Current number of ordered equations: 0
% Current number of rules: 137
% Rule [126]
% difference(difference(X,Y),Z) <->
% difference(difference(X,Z),difference(Y,difference(V_3,difference(Y,Z)))) is composed into
% [126] difference(difference(X,Y),Z) <-> difference(difference(X,Z),Y)
% New rule produced :
% [189]
% difference(difference(X,Y),difference(Z,difference(V_3,difference(Z,Y)))) ->
% difference(difference(X,Y),Z)
% Rule
% [127]
% difference(difference(X,Z),difference(Y,difference(V_3,difference(Y,Z)))) <->
% difference(difference(X,Y),Z) collapsed.
% Current number of equations to process: 2475
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [190]
% difference(X,difference(Y,difference(V_3,difference(X,Z)))) <->
% difference(X,difference(Y,difference(Z,difference(X,V_3))))
% Current number of equations to process: 2906
% Current number of ordered equations: 2
% Current number of rules: 138
% New rule produced :
% [191]
% difference(X,difference(difference(Z,difference(X,Y)),V_3)) <->
% difference(X,difference(difference(Y,difference(X,Z)),V_3))
% Current number of equations to process: 2906
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [192]
% difference(difference(X,V_3),difference(Y,difference(Y,Z))) <->
% difference(difference(X,difference(Y,difference(X,Z))),V_3)
% Current number of equations to process: 4030
% Current number of ordered equations: 3
% Current number of rules: 140
% New rule produced :
% [193]
% difference(difference(X,difference(Y,difference(X,Z))),V_3) <->
% difference(difference(X,V_3),difference(Y,difference(Y,Z)))
% Current number of equations to process: 4030
% Current number of ordered equations: 2
% Current number of rules: 141
% New rule produced :
% [194]
% difference(X,difference(difference(Y,Z),difference(Y,V_3))) <->
% difference(X,difference(difference(Y,Z),difference(X,V_3)))
% Current number of equations to process: 4994
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [195]
% difference(X,difference(difference(Y,Z),difference(X,V_3))) <->
% difference(X,difference(difference(Y,Z),difference(Y,V_3)))
% Current number of equations to process: 4994
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [196]
% difference(X,difference(difference(difference(difference(Y,Z),V_3),V_4),
% difference(X,Z))) -> X
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [197]
% difference(X,difference(difference(Y,Z),difference(Y,V_3))) <->
% difference(X,difference(Y,difference(X,difference(V_3,Z))))
% Current number of equations to process: 3149
% Current number of ordered equations: 3
% Current number of rules: 145
% New rule produced :
% [198]
% difference(X,difference(Y,difference(X,difference(V_3,Z)))) <->
% difference(X,difference(difference(Y,Z),difference(Y,V_3)))
% Current number of equations to process: 3149
% Current number of ordered equations: 2
% Current number of rules: 146
% New rule produced :
% [199]
% difference(difference(X,difference(X,Y)),difference(X,Z)) <->
% difference(difference(X,difference(Z,Y)),difference(X,Z))
% Current number of equations to process: 3149
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [200]
% difference(difference(X,difference(Z,Y)),difference(X,Z)) <->
% difference(difference(X,difference(X,Y)),difference(X,Z))
% Current number of equations to process: 3149
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [201]
% difference(difference(X,Y),difference(Z,difference(X,V_3))) <->
% difference(difference(X,Y),difference(Z,difference(Z,V_3)))
% Current number of equations to process: 1638
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [202]
% difference(difference(X,Y),difference(Z,difference(Z,V_3))) <->
% difference(difference(X,Y),difference(Z,difference(X,V_3)))
% Current number of equations to process: 1638
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [203]
% difference(X,difference(Y,difference(Z,difference(X,V_3)))) <->
% difference(X,difference(Y,difference(Z,difference(Z,V_3))))
% Current number of equations to process: 2652
% Current number of ordered equations: 3
% Current number of rules: 151
% New rule produced :
% [204]
% difference(X,difference(Y,difference(Z,difference(Z,V_3)))) <->
% difference(X,difference(Y,difference(Z,difference(X,V_3))))
% Current number of equations to process: 2652
% Current number of ordered equations: 2
% Current number of rules: 152
% New rule produced :
% [205]
% difference(X,difference(difference(Y,difference(Y,Z)),V_3)) <->
% difference(X,difference(difference(Y,difference(X,Z)),V_3))
% Current number of equations to process: 2652
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [206]
% difference(X,difference(difference(Y,difference(X,Z)),V_3)) <->
% difference(X,difference(difference(Y,difference(Y,Z)),V_3))
% Current number of equations to process: 2652
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [207]
% difference(difference(X,V_3),difference(Y,difference(X,Z))) <->
% difference(difference(X,difference(Y,difference(Y,Z))),V_3)
% Current number of equations to process: 4803
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [208]
% difference(difference(X,difference(Y,difference(Y,Z))),V_3) <->
% difference(difference(X,V_3),difference(Y,difference(X,Z)))
% Current number of equations to process: 4803
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [209]
% difference(difference(X,difference(Y,Z)),difference(X,Y)) <->
% difference(difference(Y,difference(X,Z)),difference(Y,X))
% Current number of equations to process: 2163
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [210]
% difference(difference(X,V_3),difference(Z,difference(X,Y))) <->
% difference(difference(X,difference(Y,difference(Y,Z))),V_3)
% Current number of equations to process: 2782
% Current number of ordered equations: 3
% Current number of rules: 158
% New rule produced :
% [211]
% difference(difference(X,difference(Y,difference(Y,Z))),V_3) <->
% difference(difference(X,V_3),difference(Z,difference(X,Y)))
% Current number of equations to process: 2782
% Current number of ordered equations: 2
% Current number of rules: 159
% New rule produced :
% [212]
% difference(X,difference(difference(Y,difference(X,Z)),V_3)) <->
% difference(X,difference(difference(Z,V_3),difference(Z,Y)))
% Current number of equations to process: 3984
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [213]
% difference(X,difference(difference(Z,V_3),difference(Z,Y))) <->
% difference(X,difference(difference(Y,difference(X,Z)),V_3))
% Current number of equations to process: 3984
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [214]
% difference(X,difference(difference(Y,Z),difference(X,V_3))) <->
% difference(X,difference(difference(V_3,Z),difference(V_3,Y)))
% Current number of equations to process: 2703
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [215]
% difference(X,difference(difference(V_3,Z),difference(V_3,Y))) <->
% difference(X,difference(difference(Y,Z),difference(X,V_3)))
% Current number of equations to process: 2703
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [216]
% difference(difference(X,difference(Y,Z)),difference(X,Y)) <->
% difference(difference(Z,difference(X,Y)),difference(Z,X))
% Current number of equations to process: 4138
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [217]
% difference(difference(Z,difference(X,Y)),difference(Z,X)) <->
% difference(difference(X,difference(Y,Z)),difference(X,Y))
% Current number of equations to process: 4138
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [218]
% difference(difference(X,difference(X,Y)),difference(X,Z)) <->
% difference(difference(X,difference(Y,Z)),difference(X,Y))
% Current number of equations to process: 2275
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [219]
% difference(difference(X,difference(Y,Z)),difference(X,Y)) <->
% difference(difference(X,difference(X,Y)),difference(X,Z))
% Current number of equations to process: 2275
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [220]
% difference(difference(X,Y),difference(Z,difference(Z,V_3))) <->
% difference(difference(X,Y),difference(V_3,difference(X,Z)))
% Current number of equations to process: 3307
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [221]
% difference(difference(X,Y),difference(V_3,difference(X,Z))) <->
% difference(difference(X,Y),difference(Z,difference(Z,V_3)))
% Current number of equations to process: 3307
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [222]
% difference(X,difference(Y,difference(V_3,difference(X,Z)))) <->
% difference(X,difference(Y,difference(Z,difference(Z,V_3))))
% Current number of equations to process: 4501
% Current number of ordered equations: 3
% Current number of rules: 170
% New rule produced :
% [223]
% difference(X,difference(diffCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------