TSTP Solution File: BOO027-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : BOO027-1 : TPTP v6.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n068.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:19:14 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 : BOO027-1 : TPTP v6.0.0. Released v2.2.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n068.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 18:05:03 CDT 2014
% % CPUTime : 300.05
% Processing problem /tmp/CiME_11062_n068.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a,one : constant; inverse : 1; multiply : 2; add : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% multiply(X,add(Y,Z)) = add(multiply(Y,X),multiply(Z,X));
% add(X,inverse(X)) = one;
% add(multiply(X,inverse(X)),add(multiply(X,Y),multiply(inverse(X),Y))) = Y;
% add(multiply(X,inverse(Y)),add(multiply(X,Y),multiply(inverse(Y),Y))) = X;
% add(multiply(X,inverse(Y)),add(multiply(X,X),multiply(inverse(Y),X))) = X;
% ";
%
% let s1 = status F "
% a lr_lex;
% one lr_lex;
% inverse lr_lex;
% multiply mul;
% add mul;
% ";
%
% let p1 = precedence F "
% multiply > add > inverse > one > a";
%
% let s2 = status F "
% a mul;
% one mul;
% inverse mul;
% multiply mul;
% add mul;
% ";
%
% let p2 = precedence F "
% multiply > add > inverse > one = a";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " add(a,a) = a;"
% ;
% (*
% 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 = { multiply(X,add(Y,Z)) =
% add(multiply(Y,X),multiply(Z,X)),
% add(X,inverse(X)) = one,
% add(multiply(X,inverse(X)),add(multiply(X,Y),
% multiply(inverse(X),Y)))
% = Y,
% add(multiply(X,inverse(Y)),add(multiply(X,Y),
% multiply(inverse(Y),Y)))
% = X,
% add(multiply(X,inverse(Y)),add(multiply(X,X),
% multiply(inverse(Y),X)))
% = X } (5 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 = { add(a,a) = a } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] add(X,inverse(X)) -> one
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 1
% New rule produced :
% [2] multiply(X,add(Y,Z)) -> add(multiply(Y,X),multiply(Z,X))
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 2
% New rule produced :
% [3]
% add(multiply(X,inverse(X)),add(multiply(X,Y),multiply(inverse(X),Y))) -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 3
% New rule produced :
% [4]
% add(multiply(X,inverse(Y)),add(multiply(X,Y),multiply(inverse(Y),Y))) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [5]
% add(multiply(X,inverse(Y)),add(multiply(X,X),multiply(inverse(Y),X))) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6] add(multiply(Y,X),multiply(inverse(Y),X)) -> multiply(X,one)
% Rule
% [3]
% add(multiply(X,inverse(X)),add(multiply(X,Y),multiply(inverse(X),Y))) -> Y
% collapsed.
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [7] add(multiply(X,inverse(X)),multiply(Y,one)) -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% add(multiply(multiply(Z,inverse(Z)),X),multiply(multiply(Y,one),X)) ->
% multiply(X,Y)
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9]
% add(multiply(multiply(Z,Y),X),multiply(multiply(inverse(Z),Y),X)) ->
% multiply(X,multiply(Y,one))
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10]
% add(multiply(multiply(Y,inverse(Z)),X),multiply(add(multiply(Y,Z),multiply(
% inverse(Z),Z)),X))
% -> multiply(X,Y)
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11]
% add(multiply(multiply(Y,inverse(Z)),X),multiply(add(multiply(Y,Y),multiply(
% inverse(Z),Y)),X))
% -> multiply(X,Y)
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [12]
% add(multiply(multiply(multiply(V_3,inverse(V_3)),Y),X),multiply(multiply(
% multiply(Z,one),Y),X))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [13]
% multiply(add(X,Z),one) <->
% add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y))))
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [14]
% add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y))))
% <->
% add(add(multiply(X,a),multiply(Z,a)),add(multiply(X,inverse(a)),multiply(Z,
% inverse(a))))
% Current number of equations to process: 15
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced :
% [15]
% add(add(multiply(X,a),multiply(Z,a)),add(multiply(X,inverse(a)),multiply(Z,
% inverse(a))))
% <->
% add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y))))
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [16]
% add(multiply(multiply(multiply(V_3,Z),Y),X),multiply(multiply(multiply(
% inverse(V_3),Z),Y),X))
% -> multiply(X,multiply(Y,multiply(Z,one)))
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [17]
% add(multiply(multiply(multiply(Z,inverse(V_3)),Y),X),multiply(multiply(
% add(multiply(Z,V_3),
% multiply(
% inverse(V_3),V_3)),Y),X))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [18]
% add(multiply(multiply(multiply(Z,inverse(V_3)),Y),X),multiply(multiply(
% add(multiply(Z,Z),
% multiply(
% inverse(V_3),Z)),Y),X))
% -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [19]
% add(multiply(multiply(multiply(multiply(V_4,inverse(V_4)),Z),Y),X),multiply(
% multiply(
% multiply(
% multiply(V_3,one),Z),Y),X))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [20]
% add(multiply(X,inverse(X)),add(add(multiply(Y,Z),multiply(V_3,Z)),add(
% multiply(Y,
% inverse(Z)),
% multiply(V_3,
% inverse(Z)))))
% -> add(Y,V_3)
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [21]
% add(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),multiply(add(multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3))
% <->
% add(multiply(add(multiply(X,a),multiply(Z,a)),V_3),multiply(add(multiply(X,
% inverse(a)),
% multiply(Z,
% inverse(a))),V_3))
% Current number of equations to process: 60
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [22]
% add(multiply(add(multiply(X,a),multiply(Z,a)),V_3),multiply(add(multiply(X,
% inverse(a)),
% multiply(Z,
% inverse(a))),V_3))
% <->
% add(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),multiply(add(multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3))
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23]
% add(multiply(multiply(multiply(multiply(V_4,V_3),Z),Y),X),multiply(multiply(
% multiply(
% multiply(
% inverse(V_4),V_3),Z),Y),X))
% -> multiply(X,multiply(Y,multiply(Z,multiply(V_3,one))))
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [24]
% add(add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y)))),
% multiply(inverse(add(X,Z)),one)) -> multiply(one,one)
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25]
% multiply(add(X,Z),V_3) <->
% add(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,multiply(Y,inverse(Y)))),
% add(multiply(X,multiply(V_3,one)),multiply(Z,multiply(V_3,one))))
% Current number of equations to process: 117
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [26]
% add(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,multiply(Y,inverse(Y)))),
% add(multiply(X,multiply(V_3,one)),multiply(Z,multiply(V_3,one)))) <->
% multiply(add(X,Z),V_3)
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27]
% add(multiply(X,inverse(add(Y,Z))),add(add(multiply(Y,X),multiply(Z,X)),
% add(multiply(Y,inverse(add(Y,Z))),multiply(Z,
% inverse(
% add(Y,Z))))))
% -> X
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28]
% multiply(add(X,V_3),multiply(Z,one)) <->
% add(add(multiply(X,multiply(Y,Z)),multiply(V_3,multiply(Y,Z))),add(multiply(X,
% multiply(
% inverse(Y),Z)),
% multiply(V_3,
% multiply(
% inverse(Y),Z))))
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [29]
% add(add(multiply(X,multiply(Y,Z)),multiply(V_3,multiply(Y,Z))),add(multiply(X,
% multiply(
% inverse(Y),Z)),
% multiply(V_3,
% multiply(
% inverse(Y),Z))))
% <-> multiply(add(X,V_3),multiply(Z,one))
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30]
% add(multiply(multiply(multiply(multiply(V_3,inverse(V_4)),Z),Y),X),multiply(
% multiply(
% multiply(
% add(
% multiply(V_3,V_4),
% multiply(
% inverse(V_4),V_4)),Z),Y),X))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31]
% add(multiply(multiply(multiply(multiply(V_3,inverse(V_4)),Z),Y),X),multiply(
% multiply(
% multiply(
% add(
% multiply(V_3,V_3),
% multiply(
% inverse(V_4),V_3)),Z),Y),X))
% -> multiply(X,multiply(Y,multiply(Z,V_3)))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32]
% add(multiply(multiply(multiply(multiply(multiply(V_5,inverse(V_5)),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(V_4,one),V_3),Z),Y),X)) ->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,V_4))))
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33]
% add(multiply(multiply(X,inverse(X)),Y),multiply(add(add(multiply(Z,V_3),
% multiply(V_4,V_3)),
% add(multiply(Z,inverse(V_3)),
% multiply(V_4,inverse(V_3)))),Y))
% -> add(multiply(Z,Y),multiply(V_4,Y))
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [34]
% add(multiply(multiply(multiply(multiply(multiply(V_5,V_4),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(inverse(V_5),V_4),V_3),Z),Y),X))
% -> multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,one)))))
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35]
% add(multiply(add(X,Y),inverse(one)),add(add(add(multiply(X,Z),multiply(Y,Z)),
% add(multiply(X,inverse(Z)),multiply(Y,
% inverse(Z)))),
% multiply(inverse(one),one))) -> add(X,Y)
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [36]
% add(multiply(add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),
% multiply(Z,inverse(Y)))),V_3),
% multiply(multiply(inverse(add(X,Z)),one),V_3)) ->
% multiply(V_3,multiply(one,one))
% Current number of equations to process: 376
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [37]
% multiply(V_3,multiply(add(X,Z),V_4)) <->
% add(multiply(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,multiply(Y,
% inverse(Y)))),V_3),
% multiply(add(multiply(X,multiply(V_4,one)),multiply(Z,multiply(V_4,one))),V_3))
% Current number of equations to process: 407
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [38]
% add(multiply(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,multiply(Y,
% inverse(Y)))),V_3),
% multiply(add(multiply(X,multiply(V_4,one)),multiply(Z,multiply(V_4,one))),V_3))
% <-> multiply(V_3,multiply(add(X,Z),V_4))
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [39]
% add(multiply(add(X,Y),inverse(Z)),add(add(add(multiply(X,X),multiply(Y,X)),
% add(multiply(X,Y),multiply(Y,Y))),
% add(multiply(X,inverse(Z)),multiply(Y,
% inverse(Z)))))
% -> add(X,Y)
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [40]
% add(multiply(multiply(X,inverse(add(Y,Z))),V_3),multiply(add(add(multiply(Y,X),
% multiply(Z,X)),
% add(multiply(Y,
% inverse(
% add(Y,Z))),
% multiply(Z,inverse(
% add(Y,Z))))),V_3))
% -> multiply(V_3,X)
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [41]
% multiply(V_4,multiply(add(X,V_3),multiply(Z,one))) <->
% add(multiply(add(multiply(X,multiply(Y,Z)),multiply(V_3,multiply(Y,Z))),V_4),
% multiply(add(multiply(X,multiply(inverse(Y),Z)),multiply(V_3,multiply(
% inverse(Y),Z))),V_4))
% Current number of equations to process: 672
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [42]
% add(multiply(add(multiply(X,multiply(Y,Z)),multiply(V_3,multiply(Y,Z))),V_4),
% multiply(add(multiply(X,multiply(inverse(Y),Z)),multiply(V_3,multiply(
% inverse(Y),Z))),V_4))
% <-> multiply(V_4,multiply(add(X,V_3),multiply(Z,one)))
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43]
% add(add(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,multiply(Y,
% inverse(Y)))),
% add(multiply(X,multiply(V_3,one)),multiply(Z,multiply(V_3,one)))),
% multiply(inverse(add(X,Z)),V_3)) -> multiply(V_3,one)
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44]
% add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y))))
% <->
% add(add(multiply(X,multiply(V_3,inverse(V_3))),multiply(Z,multiply(V_3,
% inverse(V_3)))),
% add(multiply(X,multiply(one,one)),multiply(Z,multiply(one,one))))
% Current number of equations to process: 938
% Current number of ordered equations: 1
% Current number of rules: 43
% Rule [44]
% add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),
% multiply(Z,inverse(Y)))) <->
% add(add(multiply(X,multiply(V_3,inverse(V_3))),multiply(Z,multiply(V_3,
% inverse(V_3)))),
% add(multiply(X,multiply(one,one)),multiply(Z,multiply(one,one)))) is composed into
% [44]
% add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y))))
% <->
% add(add(multiply(X,a),multiply(Z,a)),add(multiply(X,inverse(a)),multiply(Z,
% inverse(a))))
% New rule produced :
% [45]
% add(add(multiply(X,multiply(V_3,inverse(V_3))),multiply(Z,multiply(V_3,
% inverse(V_3)))),
% add(multiply(X,multiply(one,one)),multiply(Z,multiply(one,one)))) <->
% add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y))))
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46]
% add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y))))
% <->
% add(add(multiply(X,V_3),multiply(Z,V_3)),add(multiply(X,inverse(V_3)),
% multiply(Z,inverse(V_3))))
% Rule
% [14]
% add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y))))
% <->
% add(add(multiply(X,a),multiply(Z,a)),add(multiply(X,inverse(a)),multiply(Z,
% inverse(a))))
% collapsed.
% Rule
% [15]
% add(add(multiply(X,a),multiply(Z,a)),add(multiply(X,inverse(a)),multiply(Z,
% inverse(a))))
% <->
% add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y))))
% collapsed.
% Rule
% [44]
% add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y))))
% <->
% add(add(multiply(X,a),multiply(Z,a)),add(multiply(X,inverse(a)),multiply(Z,
% inverse(a))))
% collapsed.
% Current number of equations to process: 984
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [47]
% add(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),multiply(add(multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3))
% <->
% add(multiply(add(multiply(X,V_4),multiply(Z,V_4)),V_3),multiply(add(multiply(X,
% inverse(V_4)),
% multiply(Z,
% inverse(V_4))),V_3))
% Rule
% [21]
% add(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),multiply(add(multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3))
% <->
% add(multiply(add(multiply(X,a),multiply(Z,a)),V_3),multiply(add(multiply(X,
% inverse(a)),
% multiply(Z,
% inverse(a))),V_3))
% collapsed.
% Rule
% [22]
% add(multiply(add(multiply(X,a),multiply(Z,a)),V_3),multiply(add(multiply(X,
% inverse(a)),
% multiply(Z,
% inverse(a))),V_3))
% <->
% add(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),multiply(add(multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3))
% collapsed.
% Current number of equations to process: 1033
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [48]
% add(multiply(multiply(multiply(multiply(multiply(V_4,inverse(V_5)),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(add(multiply(V_4,V_5),multiply(inverse(V_5),V_5)),V_3),Z),Y),X))
% -> multiply(X,multiply(Y,multiply(Z,multiply(V_3,V_4))))
% Current number of equations to process: 1104
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [49]
% add(multiply(multiply(multiply(multiply(multiply(V_4,inverse(V_5)),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(add(multiply(V_4,V_4),multiply(inverse(V_5),V_4)),V_3),Z),Y),X))
% -> multiply(X,multiply(Y,multiply(Z,multiply(V_3,V_4))))
% Current number of equations to process: 1147
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [50]
% add(multiply(multiply(multiply(multiply(multiply(multiply(V_6,inverse(V_6)),V_4),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(multiply(V_5,one),V_4),V_3),Z),Y),X))
% -> multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,V_5)))))
% Current number of equations to process: 1186
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [51]
% add(multiply(multiply(multiply(multiply(multiply(multiply(V_6,V_5),V_4),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(multiply(inverse(V_6),V_5),V_4),V_3),Z),Y),X))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,multiply(V_5,one))))))
% Current number of equations to process: 1223
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [52]
% add(multiply(multiply(X,inverse(Y)),one),add(add(multiply(multiply(X,Y),Z),
% multiply(multiply(inverse(Y),Y),Z)),
% add(multiply(multiply(X,Y),inverse(Z)),
% multiply(multiply(inverse(Y),Y),
% inverse(Z))))) -> multiply(one,X)
% Current number of equations to process: 1268
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [53]
% add(multiply(multiply(X,inverse(Y)),one),add(add(multiply(multiply(X,X),Z),
% multiply(multiply(inverse(Y),X),Z)),
% add(multiply(multiply(X,X),inverse(Z)),
% multiply(multiply(inverse(Y),X),
% inverse(Z))))) -> multiply(one,X)
% Current number of equations to process: 1299
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [54]
% add(multiply(multiply(multiply(X,inverse(X)),Y),Z),multiply(multiply(
% add(add(multiply(V_3,V_4),
% multiply(V_5,V_4)),
% add(multiply(V_3,
% inverse(V_4)),
% multiply(V_5,
% inverse(V_4)))),Y),Z))
% -> add(multiply(multiply(V_3,Y),Z),multiply(multiply(V_5,Y),Z))
% Current number of equations to process: 1323
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [55]
% add(multiply(multiply(add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y)))),V_3),V_4),
% multiply(multiply(multiply(inverse(add(X,Z)),one),V_3),V_4)) ->
% multiply(V_4,multiply(V_3,multiply(one,one)))
% Current number of equations to process: 1370
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [56]
% add(multiply(X,inverse(X)),add(add(add(multiply(Y,Z),multiply(V_3,Z)),
% add(multiply(Y,V_4),multiply(V_3,V_4))),
% add(multiply(Z,inverse(add(Y,V_3))),multiply(V_4,
% inverse(
% add(Y,V_3))))))
% -> add(Z,V_4)
% Current number of equations to process: 1432
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [57]
% multiply(add(X,V_3),multiply(Z,V_4)) <->
% add(add(multiply(X,multiply(multiply(Y,inverse(Y)),Z)),multiply(V_3,multiply(
% multiply(Y,
% inverse(Y)),Z))),
% add(multiply(X,multiply(multiply(V_4,one),Z)),multiply(V_3,multiply(multiply(V_4,one),Z))))
% Current number of equations to process: 1513
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [58]
% add(add(multiply(X,multiply(multiply(Y,inverse(Y)),Z)),multiply(V_3,multiply(
% multiply(Y,
% inverse(Y)),Z))),
% add(multiply(X,multiply(multiply(V_4,one),Z)),multiply(V_3,multiply(multiply(V_4,one),Z))))
% <-> multiply(add(X,V_3),multiply(Z,V_4))
% Current number of equations to process: 1513
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [59]
% add(multiply(multiply(add(X,Y),inverse(one)),Z),multiply(add(add(add(
% multiply(X,V_3),
% multiply(Y,V_3)),
% add(multiply(X,
% inverse(V_3)),
% multiply(Y,
% inverse(V_3)))),
% multiply(inverse(one),one)),Z))
% -> add(multiply(X,Z),multiply(Y,Z))
% Current number of equations to process: 1663
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [60]
% add(add(add(multiply(X,multiply(Y,Z)),multiply(V_3,multiply(Y,Z))),add(
% multiply(X,
% multiply(
% inverse(Y),Z)),
% multiply(V_3,
% multiply(
% inverse(Y),Z)))),
% multiply(inverse(add(X,V_3)),multiply(Z,one))) ->
% multiply(multiply(Z,one),one)
% Current number of equations to process: 1705
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [61]
% add(add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,V_3),multiply(Z,V_3))),
% add(multiply(Y,inverse(add(X,Z))),multiply(V_3,inverse(add(X,Z))))) ->
% add(add(multiply(Y,a),multiply(V_3,a)),add(multiply(Y,inverse(a)),multiply(V_3,
% inverse(a))))
% Rule
% [56]
% add(multiply(X,inverse(X)),add(add(add(multiply(Y,Z),multiply(V_3,Z)),
% add(multiply(Y,V_4),multiply(V_3,V_4))),
% add(multiply(Z,inverse(add(Y,V_3))),multiply(V_4,
% inverse(
% add(Y,V_3))))))
% -> add(Z,V_4) collapsed.
% Current number of equations to process: 1777
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [62]
% multiply(add(X,V_4),multiply(V_3,multiply(Z,one))) <->
% add(add(multiply(X,multiply(multiply(Y,Z),V_3)),multiply(V_4,multiply(
% multiply(Y,Z),V_3))),
% add(multiply(X,multiply(multiply(inverse(Y),Z),V_3)),multiply(V_4,multiply(
% multiply(
% inverse(Y),Z),V_3))))
% Current number of equations to process: 1865
% Current number of ordered equations: 5
% Current number of rules: 55
% New rule produced :
% [63]
% add(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3),V_4))
% <->
% add(multiply(multiply(add(multiply(X,a),multiply(Z,a)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(a)),
% multiply(Z,
% inverse(a))),V_3),V_4))
% Current number of equations to process: 1865
% Current number of ordered equations: 4
% Current number of rules: 56
% New rule produced :
% [64]
% add(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3),V_4))
% <->
% add(multiply(multiply(add(multiply(X,X),multiply(Z,X)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(X)),
% multiply(Z,
% inverse(X))),V_3),V_4))
% Current number of equations to process: 1865
% Current number of ordered equations: 3
% Current number of rules: 57
% New rule produced :
% [65]
% add(add(multiply(X,multiply(multiply(Y,Z),V_3)),multiply(V_4,multiply(
% multiply(Y,Z),V_3))),
% add(multiply(X,multiply(multiply(inverse(Y),Z),V_3)),multiply(V_4,multiply(
% multiply(
% inverse(Y),Z),V_3))))
% <-> multiply(add(X,V_4),multiply(V_3,multiply(Z,one)))
% Current number of equations to process: 1865
% Current number of ordered equations: 2
% Current number of rules: 58
% New rule produced :
% [66]
% add(multiply(multiply(add(multiply(X,a),multiply(Z,a)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(a)),
% multiply(Z,
% inverse(a))),V_3),V_4))
% <->
% add(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3),V_4))
% Current number of equations to process: 1865
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [67]
% add(multiply(multiply(add(multiply(X,X),multiply(Z,X)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(X)),
% multiply(Z,
% inverse(X))),V_3),V_4))
% <->
% add(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3),V_4))
% Current number of equations to process: 1865
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [68]
% multiply(V_4,multiply(V_3,multiply(add(X,Z),V_5))) <->
% add(multiply(multiply(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,
% multiply(Y,
% inverse(Y)))),V_3),V_4),
% multiply(multiply(add(multiply(X,multiply(V_5,one)),multiply(Z,multiply(V_5,one))),V_3),V_4))
% Current number of equations to process: 2474
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [69]
% add(multiply(multiply(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,
% multiply(Y,
% inverse(Y)))),V_3),V_4),
% multiply(multiply(add(multiply(X,multiply(V_5,one)),multiply(Z,multiply(V_5,one))),V_3),V_4))
% <-> multiply(V_4,multiply(V_3,multiply(add(X,Z),V_5)))
% Current number of equations to process: 2474
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [70]
% add(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3),V_4))
% <->
% add(multiply(multiply(add(multiply(X,V_5),multiply(Z,V_5)),V_3),V_4),
% multiply(multiply(add(multiply(X,inverse(V_5)),multiply(Z,inverse(V_5))),V_3),V_4))
% Rule
% [63]
% add(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3),V_4))
% <->
% add(multiply(multiply(add(multiply(X,a),multiply(Z,a)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(a)),
% multiply(Z,
% inverse(a))),V_3),V_4))
% collapsed.
% Rule
% [64]
% add(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3),V_4))
% <->
% add(multiply(multiply(add(multiply(X,X),multiply(Z,X)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(X)),
% multiply(Z,
% inverse(X))),V_3),V_4))
% collapsed.
% Rule
% [66]
% add(multiply(multiply(add(multiply(X,a),multiply(Z,a)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(a)),
% multiply(Z,
% inverse(a))),V_3),V_4))
% <->
% add(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3),V_4))
% collapsed.
% Rule
% [67]
% add(multiply(multiply(add(multiply(X,X),multiply(Z,X)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(X)),
% multiply(Z,
% inverse(X))),V_3),V_4))
% <->
% add(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),multiply(
% multiply(
% add(
% multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3),V_4))
% collapsed.
% Current number of equations to process: 2883
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [71]
% add(multiply(multiply(multiply(X,inverse(add(Y,Z))),V_3),V_4),multiply(
% multiply(
% add(add(
% multiply(Y,X),
% multiply(Z,X)),
% add(multiply(Y,
% inverse(
% add(Y,Z))),
% multiply(Z,
% inverse(
% add(Y,Z))))),V_3),V_4))
% -> multiply(V_4,multiply(V_3,X))
% Current number of equations to process: 3002
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [72]
% multiply(V_5,multiply(V_4,multiply(add(X,V_3),multiply(Z,one)))) <->
% add(multiply(multiply(add(multiply(X,multiply(Y,Z)),multiply(V_3,multiply(Y,Z))),V_4),V_5),
% multiply(multiply(add(multiply(X,multiply(inverse(Y),Z)),multiply(V_3,
% multiply(inverse(Y),Z))),V_4),V_5))
% Current number of equations to process: 3113
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [73]
% add(multiply(multiply(add(multiply(X,multiply(Y,Z)),multiply(V_3,multiply(Y,Z))),V_4),V_5),
% multiply(multiply(add(multiply(X,multiply(inverse(Y),Z)),multiply(V_3,
% multiply(inverse(Y),Z))),V_4),V_5))
% <-> multiply(V_5,multiply(V_4,multiply(add(X,V_3),multiply(Z,one))))
% Current number of equations to process: 3113
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [74]
% add(multiply(add(X,Y),inverse(Z)),add(add(add(multiply(X,multiply(V_3,
% inverse(V_3))),
% multiply(Y,multiply(V_3,inverse(V_3)))),
% add(multiply(X,multiply(Z,one)),
% multiply(Y,multiply(Z,one)))),multiply(
% inverse(Z),Z)))
% -> add(X,Y)
% Current number of equations to process: 3555
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [75]
% add(multiply(add(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,multiply(Y,
% inverse(Y)))),
% add(multiply(X,multiply(V_3,one)),multiply(Z,multiply(V_3,one)))),V_4),
% multiply(multiply(inverse(add(X,Z)),V_3),V_4)) ->
% multiply(V_4,multiply(V_3,one))
% Current number of equations to process: 3628
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [76]
% add(multiply(multiply(multiply(multiply(multiply(multiply(V_5,inverse(V_6)),V_4),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(add(multiply(V_5,V_6),multiply(
% inverse(V_6),V_6)),V_4),V_3),Z),Y),X))
% -> multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,V_5)))))
% Current number of equations to process: 3713
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [77]
% add(multiply(multiply(multiply(multiply(multiply(multiply(V_5,inverse(V_6)),V_4),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(add(multiply(V_5,V_5),multiply(
% inverse(V_6),V_5)),V_4),V_3),Z),Y),X))
% -> multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,V_5)))))
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [78]
% add(multiply(multiply(multiply(multiply(multiply(multiply(multiply(V_7,
% inverse(V_7)),V_5),V_4),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(multiply(multiply(V_6,one),V_5),V_4),V_3),Z),Y),X))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,multiply(V_5,V_6))))))
% Current number of equations to process: 3881
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [79]
% add(multiply(multiply(add(X,Y),inverse(Z)),V_3),multiply(add(add(add(
% multiply(X,X),
% multiply(Y,X)),
% add(multiply(X,Y),
% multiply(Y,Y))),
% add(multiply(X,
% inverse(Z)),
% multiply(Y,inverse(Z)))),V_3))
% -> add(multiply(X,V_3),multiply(Y,V_3))
% Current number of equations to process: 3954
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [80]
% add(add(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,multiply(Y,
% inverse(Y)))),
% add(multiply(X,multiply(inverse(V_3),one)),multiply(Z,multiply(inverse(V_3),one)))),
% add(multiply(add(X,Z),V_3),multiply(inverse(V_3),V_3))) -> add(X,Z)
% Current number of equations to process: 4039
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [81]
% add(multiply(add(X,Y),inverse(add(Z,V_3))),add(add(add(multiply(X,Z),
% multiply(Y,Z)),add(
% multiply(X,V_3),
% multiply(Y,V_3))),
% add(multiply(Z,inverse(add(Z,V_3))),
% multiply(V_3,inverse(add(Z,V_3))))))
% -> add(X,Y)
% Current number of equations to process: 4122
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [82]
% add(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),multiply(add(multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3))
% <->
% add(multiply(add(multiply(X,multiply(V_4,inverse(V_4))),multiply(Z,multiply(V_4,
% inverse(V_4)))),V_3),
% multiply(add(multiply(X,multiply(one,one)),multiply(Z,multiply(one,one))),V_3))
% Current number of equations to process: 4279
% Current number of ordered equations: 1
% Current number of rules: 71
% Rule [82]
% add(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),multiply(add(
% multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3))
% <->
% add(multiply(add(multiply(X,multiply(V_4,inverse(V_4))),multiply(Z,
% multiply(V_4,
% inverse(V_4)))),V_3),
% multiply(add(multiply(X,multiply(one,one)),multiply(Z,multiply(one,one))),V_3)) is composed into
% [82]
% add(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),multiply(add(multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3))
% <->
% add(multiply(add(multiply(X,a),multiply(Z,a)),V_3),multiply(add(multiply(X,
% inverse(a)),
% multiply(Z,
% inverse(a))),V_3))
% New rule produced :
% [83]
% add(multiply(add(multiply(X,multiply(V_4,inverse(V_4))),multiply(Z,multiply(V_4,
% inverse(V_4)))),V_3),
% multiply(add(multiply(X,multiply(one,one)),multiply(Z,multiply(one,one))),V_3))
% <->
% add(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),multiply(add(multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y))),V_3))
% Current number of equations to process: 4279
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [84]
% add(multiply(multiply(multiply(multiply(multiply(multiply(multiply(V_7,V_6),V_5),V_4),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(multiply(multiply(inverse(V_7),V_6),V_5),V_4),V_3),Z),Y),X))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,multiply(V_5,
% multiply(V_6,one)))))))
% Current number of equations to process: 4529
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [85]
% add(multiply(multiply(multiply(X,inverse(Y)),one),Z),multiply(add(add(
% multiply(
% multiply(X,Y),V_3),
% multiply(
% multiply(
% inverse(Y),Y),V_3)),
% add(multiply(
% multiply(X,Y),
% inverse(V_3)),
% multiply(
% multiply(
% inverse(Y),Y),
% inverse(V_3)))),Z))
% -> multiply(Z,multiply(one,X))
% Current number of equations to process: 4624
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [86]
% add(multiply(multiply(multiply(X,inverse(Y)),one),Z),multiply(add(add(
% multiply(
% multiply(X,X),V_3),
% multiply(
% multiply(
% inverse(Y),X),V_3)),
% add(multiply(
% multiply(X,X),
% inverse(V_3)),
% multiply(
% multiply(
% inverse(Y),X),
% inverse(V_3)))),Z))
% -> multiply(Z,multiply(one,X))
% Current number of equations to process: 4697
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [87]
% add(multiply(X,inverse(X)),add(add(add(add(multiply(Y,Z),multiply(V_3,Z)),
% add(multiply(Y,inverse(Z)),multiply(V_3,
% inverse(Z)))),
% multiply(V_4,one)),add(multiply(add(Y,V_3),
% inverse(one)),multiply(V_4,
% inverse(one)))))
% -> add(add(Y,V_3),V_4)
% Current number of equations to process: 4758
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [88]
% add(multiply(X,inverse(X)),add(add(multiply(Y,one),add(add(multiply(Z,V_3),
% multiply(V_4,V_3)),
% add(multiply(Z,inverse(V_3)),
% multiply(V_4,inverse(V_3))))),
% add(multiply(Y,inverse(one)),multiply(add(Z,V_4),
% inverse(one))))) ->
% add(Y,add(Z,V_4))
% Current number of equations to process: 4758
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [89]
% add(multiply(multiply(multiply(add(add(multiply(X,Y),multiply(Z,Y)),add(
% multiply(X,
% inverse(Y)),
% multiply(Z,
% inverse(Y)))),V_3),V_4),V_5),
% multiply(multiply(multiply(multiply(inverse(add(X,Z)),one),V_3),V_4),V_5)) ->
% multiply(V_5,multiply(V_4,multiply(V_3,multiply(one,one))))
% Current number of equations to process: 4853
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [90]
% multiply(add(X,V_3),Y) <->
% add(add(multiply(X,multiply(Y,inverse(Z))),multiply(V_3,multiply(Y,inverse(Z)))),
% add(add(multiply(multiply(Y,Z),X),multiply(multiply(inverse(Z),Z),X)),
% add(multiply(multiply(Y,Z),V_3),multiply(multiply(inverse(Z),Z),V_3))))
% Current number of equations to process: 4967
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [91]
% add(add(multiply(X,multiply(Y,inverse(Z))),multiply(V_3,multiply(Y,inverse(Z)))),
% add(add(multiply(multiply(Y,Z),X),multiply(multiply(inverse(Z),Z),X)),
% add(multiply(multiply(Y,Z),V_3),multiply(multiply(inverse(Z),Z),V_3)))) <->
% multiply(add(X,V_3),Y)
% Current number of equations to process: 4967
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [92]
% multiply(add(X,V_3),Y) <->
% add(add(multiply(X,multiply(Y,inverse(Z))),multiply(V_3,multiply(Y,inverse(Z)))),
% add(add(multiply(multiply(Y,Y),X),multiply(multiply(inverse(Z),Y),X)),
% add(multiply(multiply(Y,Y),V_3),multiply(multiply(inverse(Z),Y),V_3))))
% Current number of equations to process: 2121
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [93]
% add(add(multiply(X,multiply(Y,inverse(Z))),multiply(V_3,multiply(Y,inverse(Z)))),
% add(add(multiply(multiply(Y,Y),X),multiply(multiply(inverse(Z),Y),X)),
% add(multiply(multiply(Y,Y),V_3),multiply(multiply(inverse(Z),Y),V_3)))) <->
% multiply(add(X,V_3),Y)
% Current number of equations to process: 2121
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [94]
% multiply(V_4,multiply(add(X,V_3),multiply(Z,V_5))) <->
% add(multiply(add(multiply(X,multiply(multiply(Y,inverse(Y)),Z)),multiply(V_3,
% multiply(
% multiply(Y,
% inverse(Y)),Z))),V_4),
% multiply(add(multiply(X,multiply(multiply(V_5,one),Z)),multiply(V_3,multiply(
% multiply(V_5,one),Z))),V_4))
% Current number of equations to process: 2522
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [95]
% add(multiply(add(multiply(X,multiply(multiply(Y,inverse(Y)),Z)),multiply(V_3,
% multiply(
% multiply(Y,
% inverse(Y)),Z))),V_4),
% multiply(add(multiply(X,multiply(multiply(V_5,one),Z)),multiply(V_3,multiply(
% multiply(V_5,one),Z))),V_4))
% <-> multiply(V_4,multiply(add(X,V_3),multiply(Z,V_5)))
% Current number of equations to process: 2522
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [96]
% add(multiply(multiply(multiply(multiply(X,inverse(X)),Y),Z),V_3),multiply(
% multiply(
% multiply(
% add(
% add(
% multiply(V_4,V_5),
% multiply(V_6,V_5)),
% add(
% multiply(V_4,
% inverse(V_5)),
% multiply(V_6,
% inverse(V_5)))),Y),Z),V_3))
% ->
% add(multiply(multiply(multiply(V_4,Y),Z),V_3),multiply(multiply(multiply(V_6,Y),Z),V_3))
% Current number of equations to process: 3118
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [97]
% add(multiply(add(add(multiply(X,multiply(Y,Z)),multiply(V_3,multiply(Y,Z))),
% add(multiply(X,multiply(inverse(Y),Z)),multiply(V_3,multiply(
% inverse(Y),Z)))),V_4),
% multiply(multiply(inverse(add(X,V_3)),multiply(Z,one)),V_4)) ->
% multiply(V_4,multiply(multiply(Z,one),one))
% Current number of equations to process: 3246
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [98]
% add(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,multiply(Y,inverse(Y)))),
% add(multiply(X,multiply(multiply(V_3,one),one)),multiply(Z,multiply(multiply(V_3,one),one))))
% <->
% add(add(multiply(X,multiply(V_4,V_3)),multiply(Z,multiply(V_4,V_3))),
% add(multiply(X,multiply(inverse(V_4),V_3)),multiply(Z,multiply(inverse(V_4),V_3))))
% Current number of equations to process: 3413
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [99]
% add(add(multiply(X,multiply(a,V_3)),multiply(Z,multiply(a,V_3))),add(
% multiply(X,
% multiply(
% inverse(a),V_3)),
% multiply(Z,
% multiply(
% inverse(a),V_3))))
% <->
% add(add(multiply(X,multiply(V_4,V_3)),multiply(Z,multiply(V_4,V_3))),
% add(multiply(X,multiply(inverse(V_4),V_3)),multiply(Z,multiply(inverse(V_4),V_3))))
% Current number of equations to process: 3412
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [100]
% add(add(multiply(X,multiply(V_4,V_3)),multiply(Z,multiply(V_4,V_3))),
% add(multiply(X,multiply(inverse(V_4),V_3)),multiply(Z,multiply(inverse(V_4),V_3))))
% <->
% add(add(multiply(X,multiply(a,V_3)),multiply(Z,multiply(a,V_3))),add(
% multiply(X,
% multiply(
% inverse(a),V_3)),
% multiply(Z,
% multiply(
% inverse(a),V_3))))
% Current number of equations to process: 3412
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [101]
% add(add(multiply(X,multiply(Y,Y)),multiply(Z,multiply(Y,Y))),add(multiply(X,
% multiply(
% inverse(Y),Y)),
% multiply(Z,
% multiply(
% inverse(Y),Y))))
% <->
% add(add(multiply(X,multiply(V_3,Y)),multiply(Z,multiply(V_3,Y))),add(
% multiply(X,
% multiply(
% inverse(V_3),Y)),
% multiply(Z,
% multiply(
% inverse(V_3),Y))))
% Current number of equations to process: 3443
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [102]
% add(add(multiply(X,multiply(V_3,Y)),multiply(Z,multiply(V_3,Y))),add(
% multiply(X,
% multiply(
% inverse(V_3),Y)),
% multiply(Z,
% multiply(
% inverse(V_3),Y))))
% <->
% add(add(multiply(X,multiply(Y,Y)),multiply(Z,multiply(Y,Y))),add(multiply(X,
% multiply(
% inverse(Y),Y)),
% multiply(Z,
% multiply(
% inverse(Y),Y))))
% Current number of equations to process: 3443
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [103]
% add(add(multiply(X,multiply(Y,a)),multiply(Z,multiply(Y,a))),add(multiply(X,
% multiply(
% inverse(Y),a)),
% multiply(Z,
% multiply(
% inverse(Y),a))))
% <->
% add(add(multiply(X,multiply(V_3,a)),multiply(Z,multiply(V_3,a))),add(
% multiply(X,
% multiply(
% inverse(V_3),a)),
% multiply(Z,
% multiply(
% inverse(V_3),a))))
% Current number of equations to process: 3808
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [104]
% add(add(multiply(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,multiply(Y,
% inverse(Y)))),V_3),
% multiply(add(multiply(X,multiply(V_4,one)),multiply(Z,multiply(V_4,one))),V_3)),
% multiply(inverse(V_3),multiply(add(X,Z),V_4))) ->
% multiply(multiply(add(X,Z),V_4),one)
% Current number of equations to process: 3995
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [105]
% add(multiply(multiply(multiply(add(X,Y),inverse(one)),Z),V_3),multiply(
% multiply(
% add(add(
% add(
% multiply(X,V_4),
% multiply(Y,V_4)),
% add(
% multiply(X,
% inverse(V_4)),
% multiply(Y,
% inverse(V_4)))),
% multiply(
% inverse(one),one)),Z),V_3))
% -> add(multiply(multiply(X,Z),V_3),multiply(multiply(Y,Z),V_3))
% Current number of equations to process: 4132
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [106]
% multiply(V_5,multiply(add(X,V_4),multiply(V_3,multiply(Z,one)))) <->
% add(multiply(add(multiply(X,multiply(multiply(Y,Z),V_3)),multiply(V_4,
% multiply(multiply(Y,Z),V_3))),V_5),
% multiply(add(multiply(X,multiply(multiply(inverse(Y),Z),V_3)),multiply(V_4,
% multiply(
% multiply(
% inverse(Y),Z),V_3))),V_5))
% Current number of equations to process: 4229
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [107]
% add(multiply(add(multiply(X,multiply(multiply(Y,Z),V_3)),multiply(V_4,
% multiply(multiply(Y,Z),V_3))),V_5),
% multiply(add(multiply(X,multiply(multiply(inverse(Y),Z),V_3)),multiply(V_4,
% multiply(
% multiply(
% inverse(Y),Z),V_3))),V_5))
% <-> multiply(V_5,multiply(add(X,V_4),multiply(V_3,multiply(Z,one))))
% Current number of equations to process: 4229
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [108]
% multiply(V_5,multiply(V_4,multiply(V_3,multiply(add(X,Z),V_6)))) <->
% add(multiply(multiply(multiply(add(multiply(X,multiply(Y,inverse(Y))),
% multiply(Z,multiply(Y,inverse(Y)))),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,multiply(V_6,one)),multiply(Z,
% multiply(V_6,one))),V_3),V_4),V_5))
% Current number of equations to process: 4940
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [109]
% add(multiply(multiply(multiply(add(multiply(X,multiply(Y,inverse(Y))),
% multiply(Z,multiply(Y,inverse(Y)))),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,multiply(V_6,one)),multiply(Z,
% multiply(V_6,one))),V_3),V_4),V_5))
% <-> multiply(V_5,multiply(V_4,multiply(V_3,multiply(add(X,Z),V_6))))
% Current number of equations to process: 4940
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [110]
% multiply(multiply(add(Y,Z),V_3),one) <->
% add(multiply(X,multiply(add(Y,Z),V_3)),add(multiply(add(multiply(Y,multiply(V_4,
% inverse(V_4))),
% multiply(Z,multiply(V_4,
% inverse(V_4)))),
% inverse(X)),multiply(add(multiply(Y,
% multiply(V_3,one)),
% multiply(Z,
% multiply(V_3,one))),
% inverse(X))))
% Current number of equations to process: 2811
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [111]
% add(multiply(X,multiply(add(Y,Z),V_3)),add(multiply(add(multiply(Y,multiply(V_4,
% inverse(V_4))),
% multiply(Z,multiply(V_4,
% inverse(V_4)))),
% inverse(X)),multiply(add(multiply(Y,
% multiply(V_3,one)),
% multiply(Z,
% multiply(V_3,one))),
% inverse(X)))) <->
% multiply(multiply(add(Y,Z),V_3),one)
% Current number of equations to process: 2811
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [112]
% add(add(add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,inverse(Y)),
% multiply(Z,inverse(Y)))),
% multiply(V_3,one)),add(multiply(add(X,Z),inverse(one)),multiply(V_3,
% inverse(one)))) ->
% add(add(multiply(add(X,Z),a),multiply(V_3,a)),add(multiply(add(X,Z),inverse(a)),
% multiply(V_3,inverse(a))))
% Rule
% [87]
% add(multiply(X,inverse(X)),add(add(add(add(multiply(Y,Z),multiply(V_3,Z)),
% add(multiply(Y,inverse(Z)),multiply(V_3,
% inverse(Z)))),
% multiply(V_4,one)),add(multiply(add(Y,V_3),
% inverse(one)),multiply(V_4,
% inverse(one)))))
% -> add(add(Y,V_3),V_4) collapsed.
% Current number of equations to process: 3152
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [113]
% add(add(multiply(X,one),add(add(multiply(Y,Z),multiply(V_3,Z)),add(multiply(Y,
% inverse(Z)),
% multiply(V_3,
% inverse(Z))))),
% add(multiply(X,inverse(one)),multiply(add(Y,V_3),inverse(one)))) ->
% add(add(multiply(X,a),multiply(add(Y,V_3),a)),add(multiply(X,inverse(a)),
% multiply(add(Y,V_3),inverse(a))))
% Rule
% [88]
% add(multiply(X,inverse(X)),add(add(multiply(Y,one),add(add(multiply(Z,V_3),
% multiply(V_4,V_3)),
% add(multiply(Z,inverse(V_3)),
% multiply(V_4,inverse(V_3))))),
% add(multiply(Y,inverse(one)),multiply(add(Z,V_4),
% inverse(one))))) ->
% add(Y,add(Z,V_4)) collapsed.
% Current number of equations to process: 3152
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [114]
% add(multiply(add(add(multiply(X,Y),multiply(Z,Y)),add(multiply(X,V_3),
% multiply(Z,V_3))),V_4),
% multiply(add(multiply(Y,inverse(add(X,Z))),multiply(V_3,inverse(add(X,Z)))),V_4))
% ->
% add(multiply(add(multiply(Y,a),multiply(V_3,a)),V_4),multiply(add(multiply(Y,
% inverse(a)),
% multiply(V_3,
% inverse(a))),V_4))
% Current number of equations to process: 3285
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [115]
% add(multiply(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(Y)),multiply(Z,inverse(Y))),V_3),V_4),V_5))
% <->
% add(multiply(multiply(multiply(add(multiply(X,a),multiply(Z,a)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(a)),multiply(Z,inverse(a))),V_3),V_4),V_5))
% Current number of equations to process: 3534
% Current number of ordered equations: 3
% Current number of rules: 102
% New rule produced :
% [116]
% add(multiply(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(Y)),multiply(Z,inverse(Y))),V_3),V_4),V_5))
% <->
% add(multiply(multiply(multiply(add(multiply(X,X),multiply(Z,X)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(X)),multiply(Z,inverse(X))),V_3),V_4),V_5))
% Current number of equations to process: 3534
% Current number of ordered equations: 2
% Current number of rules: 103
% New rule produced :
% [117]
% add(multiply(multiply(multiply(add(multiply(X,a),multiply(Z,a)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(a)),multiply(Z,inverse(a))),V_3),V_4),V_5))
% <->
% add(multiply(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(Y)),multiply(Z,inverse(Y))),V_3),V_4),V_5))
% Current number of equations to process: 3534
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [118]
% add(multiply(multiply(multiply(add(multiply(X,X),multiply(Z,X)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(X)),multiply(Z,inverse(X))),V_3),V_4),V_5))
% <->
% add(multiply(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(Y)),multiply(Z,inverse(Y))),V_3),V_4),V_5))
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [119]
% add(multiply(multiply(X,inverse(Y)),Z),add(add(multiply(multiply(X,Y),
% multiply(V_3,inverse(V_3))),
% multiply(multiply(inverse(Y),Y),
% multiply(V_3,inverse(V_3)))),
% add(multiply(multiply(X,Y),multiply(Z,one)),
% multiply(multiply(inverse(Y),Y),
% multiply(Z,one))))) -> multiply(Z,X)
% Current number of equations to process: 4592
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [120]
% add(multiply(multiply(X,inverse(Y)),Z),add(add(multiply(multiply(X,X),
% multiply(V_3,inverse(V_3))),
% multiply(multiply(inverse(Y),X),
% multiply(V_3,inverse(V_3)))),
% add(multiply(multiply(X,X),multiply(Z,one)),
% multiply(multiply(inverse(Y),X),
% multiply(Z,one))))) -> multiply(Z,X)
% Current number of equations to process: 4684
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [121]
% add(multiply(multiply(add(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,
% multiply(Y,
% inverse(Y)))),
% add(multiply(X,multiply(V_3,one)),multiply(Z,multiply(V_3,one)))),V_4),V_5),
% multiply(multiply(multiply(inverse(add(X,Z)),V_3),V_4),V_5)) ->
% multiply(V_5,multiply(V_4,multiply(V_3,one)))
% Current number of equations to process: 4757
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [122]
% add(multiply(multiply(multiply(multiply(X,inverse(add(Y,Z))),V_3),V_4),V_5),
% multiply(multiply(multiply(add(add(multiply(Y,X),multiply(Z,X)),add(multiply(Y,
% inverse(
% add(Y,Z))),
% multiply(Z,
% inverse(
% add(Y,Z))))),V_3),V_4),V_5))
% -> multiply(V_5,multiply(V_4,multiply(V_3,X)))
% Current number of equations to process: 4944
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [123]
% multiply(V_6,multiply(V_5,multiply(V_4,multiply(add(X,V_3),multiply(Z,one)))))
% <->
% add(multiply(multiply(multiply(add(multiply(X,multiply(Y,Z)),multiply(V_3,
% multiply(Y,Z))),V_4),V_5),V_6),
% multiply(multiply(multiply(add(multiply(X,multiply(inverse(Y),Z)),multiply(V_3,
% multiply(
% inverse(Y),Z))),V_4),V_5),V_6))
% Current number of equations to process: 2854
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [124]
% add(multiply(multiply(multiply(add(multiply(X,multiply(Y,Z)),multiply(V_3,
% multiply(Y,Z))),V_4),V_5),V_6),
% multiply(multiply(multiply(add(multiply(X,multiply(inverse(Y),Z)),multiply(V_3,
% multiply(
% inverse(Y),Z))),V_4),V_5),V_6))
% <->
% multiply(V_6,multiply(V_5,multiply(V_4,multiply(add(X,V_3),multiply(Z,one)))))
% Current number of equations to process: 2854
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [125]
% add(multiply(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,multiply(Y,
% inverse(Y)))),V_3),
% multiply(add(multiply(X,multiply(V_4,one)),multiply(Z,multiply(V_4,one))),V_3))
% <->
% add(multiply(add(multiply(X,multiply(V_5,inverse(V_5))),multiply(Z,multiply(V_5,
% inverse(V_5)))),V_3),
% multiply(add(multiply(X,multiply(V_4,one)),multiply(Z,multiply(V_4,one))),V_3))
% Current number of equations to process: 3798
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [126]
% add(multiply(add(multiply(X,multiply(V_5,Z)),multiply(V_3,multiply(V_5,Z))),V_4),
% multiply(add(multiply(X,multiply(inverse(V_5),Z)),multiply(V_3,multiply(
% inverse(V_5),Z))),V_4))
% <->
% add(multiply(add(multiply(X,multiply(Y,Z)),multiply(V_3,multiply(Y,Z))),V_4),
% multiply(add(multiply(X,multiply(inverse(Y),Z)),multiply(V_3,multiply(
% inverse(Y),Z))),V_4))
% Current number of equations to process: 4032
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [127]
% add(multiply(multiply(multiply(add(multiply(X,V_6),multiply(Z,V_6)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(V_6)),multiply(Z,inverse(V_6))),V_3),V_4),V_5))
% <->
% add(multiply(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(Y)),multiply(Z,inverse(Y))),V_3),V_4),V_5))
% Rule
% [115]
% add(multiply(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(Y)),multiply(Z,inverse(Y))),V_3),V_4),V_5))
% <->
% add(multiply(multiply(multiply(add(multiply(X,a),multiply(Z,a)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(a)),multiply(Z,inverse(a))),V_3),V_4),V_5))
% collapsed.
% Rule
% [116]
% add(multiply(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(Y)),multiply(Z,inverse(Y))),V_3),V_4),V_5))
% <->
% add(multiply(multiply(multiply(add(multiply(X,X),multiply(Z,X)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(X)),multiply(Z,inverse(X))),V_3),V_4),V_5))
% collapsed.
% Rule
% [117]
% add(multiply(multiply(multiply(add(multiply(X,a),multiply(Z,a)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(a)),multiply(Z,inverse(a))),V_3),V_4),V_5))
% <->
% add(multiply(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(Y)),multiply(Z,inverse(Y))),V_3),V_4),V_5))
% collapsed.
% Rule
% [118]
% add(multiply(multiply(multiply(add(multiply(X,X),multiply(Z,X)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(X)),multiply(Z,inverse(X))),V_3),V_4),V_5))
% <->
% add(multiply(multiply(multiply(add(multiply(X,Y),multiply(Z,Y)),V_3),V_4),V_5),
% multiply(multiply(multiply(add(multiply(X,inverse(Y)),multiply(Z,inverse(Y))),V_3),V_4),V_5))
% collapsed.
% Current number of equations to process: 4327
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [128]
% add(multiply(multiply(multiply(multiply(multiply(multiply(multiply(V_6,
% inverse(V_7)),V_5),V_4),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(multiply(add(multiply(V_6,V_7),
% multiply(inverse(V_7),V_7)),V_5),V_4),V_3),Z),Y),X))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,multiply(V_5,V_6))))))
% Current number of equations to process: 4622
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [129]
% add(multiply(multiply(multiply(multiply(multiply(multiply(multiply(V_6,
% inverse(V_7)),V_5),V_4),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(multiply(add(multiply(V_6,V_6),
% multiply(inverse(V_7),V_6)),V_5),V_4),V_3),Z),Y),X))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,multiply(V_5,V_6))))))
% Current number of equations to process: 4804
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [130]
% add(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(V_8,
% inverse(V_8)),V_6),V_5),V_4),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(V_7,one),V_6),V_5),V_4),V_3),Z),Y),X))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,multiply(V_5,
% multiply(V_6,V_7)))))))
% Current number of equations to process: 4975
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [131]
% add(multiply(multiply(add(X,Y),inverse(Z)),V_3),multiply(add(add(add(
% multiply(X,
% multiply(V_4,
% inverse(V_4))),
% multiply(Y,
% multiply(V_4,
% inverse(V_4)))),
% add(multiply(X,
% multiply(Z,one)),
% multiply(Y,
% multiply(Z,one)))),
% multiply(inverse(Z),Z)),V_3))
% -> add(multiply(X,V_3),multiply(Y,V_3))
% Current number of equations to process: 2958
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [132]
% add(multiply(add(X,Y),inverse(multiply(Z,one))),add(add(add(multiply(X,
% multiply(V_3,Z)),
% multiply(Y,multiply(V_3,Z))),
% add(multiply(X,multiply(
% inverse(V_3),Z)),
% multiply(Y,multiply(
% inverse(V_3),Z)))),
% multiply(inverse(multiply(Z,one)),
% multiply(Z,one)))) ->
% add(X,Y)
% Current number of equations to process: 3137
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [133]
% add(add(multiply(add(multiply(X,multiply(Y,Z)),multiply(V_3,multiply(Y,Z))),V_4),
% multiply(add(multiply(X,multiply(inverse(Y),Z)),multiply(V_3,multiply(
% inverse(Y),Z))),V_4)),
% multiply(inverse(V_4),multiply(add(X,V_3),multiply(Z,one)))) ->
% multiply(multiply(add(X,V_3),multiply(Z,one)),one)
% Current number of equations to process: 3343
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [134]
% add(add(add(multiply(X,multiply(multiply(Y,inverse(Y)),Z)),multiply(V_3,
% multiply(multiply(Y,
% inverse(Y)),Z))),
% add(multiply(X,multiply(multiply(V_4,one),Z)),multiply(V_3,multiply(
% multiply(V_4,one),Z)))),
% multiply(inverse(add(X,V_3)),multiply(Z,V_4))) ->
% multiply(multiply(Z,V_4),one)
% Current number of equations to process: 3584
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [135]
% add(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(V_8,V_7),V_6),V_5),V_4),V_3),Z),Y),X),
% multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(
% inverse(V_8),V_7),V_6),V_5),V_4),V_3),Z),Y),X))
% ->
% multiply(X,multiply(Y,multiply(Z,multiply(V_3,multiply(V_4,multiply(V_5,
% multiply(V_6,
% multiply(V_7,one))))))))
% Current number of equations to process: 3779
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [136]
% add(multiply(multiply(multiply(add(X,Y),inverse(Z)),V_3),V_4),multiply(
% multiply(
% add(add(
% add(
% multiply(X,X),
% multiply(Y,X)),
% add(
% multiply(X,Y),
% multiply(Y,Y))),
% add(multiply(X,
% inverse(Z)),
% multiply(Y,
% inverse(Z)))),V_3),V_4))
% -> add(multiply(multiply(X,V_3),V_4),multiply(multiply(Y,V_3),V_4))
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [137]
% multiply(add(X,V_4),multiply(V_3,multiply(Z,V_5))) <->
% add(add(multiply(X,multiply(multiply(multiply(Y,inverse(Y)),Z),V_3)),
% multiply(V_4,multiply(multiply(multiply(Y,inverse(Y)),Z),V_3))),add(
% multiply(X,
% multiply(
% multiply(
% multiply(V_5,one),Z),V_3)),
% multiply(V_4,
% multiply(
% multiply(
% multiply(V_5,one),Z),V_3))))
% Current number of equations to process: 4162
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [138]
% add(add(multiply(X,multiply(multiply(multiply(Y,inverse(Y)),Z),V_3)),
% multiply(V_4,multiply(multiply(multiply(Y,inverse(Y)),Z),V_3))),add(
% multiply(X,
% multiply(
% multiply(
% multiply(V_5,one),Z),V_3)),
% multiply(V_4,
% multiply(
% multiply(
% multiply(V_5,one),Z),V_3))))
% <-> multiply(add(X,V_4),multiply(V_3,multiply(Z,V_5)))
% Current number of equations to process: 4162
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [139]
% add(multiply(add(add(multiply(X,multiply(Y,inverse(Y))),multiply(Z,multiply(Y,
% inverse(Y)))),
% add(multiply(X,multiply(inverse(V_3),one)),multiply(Z,multiply(
% inverse(V_3),one)))),V_4),
% multiply(add(multiply(add(X,Z),V_3),multiply(inverse(V_3),V_3)),V_4)) ->
% add(multiply(X,V_4),multiply(Z,V_4))
% Current number of equations to process: 4676
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [140]
% add(multiply(multiply(multiply(multiply(X,inverse(Y)),one),Z),V_3),multiply(
% multiply(
% add(
% add(
% multiply(
% multiply(X,Y),V_4),
% multiply(
% multiply(
% inverse(Y),Y),V_4)),
% add(
% multiply(
% multiply(X,Y),
% inverse(V_4)),
% multiply(
% multiply(
% inverse(Y),Y),
% inverse(V_4)))),Z),V_3))
% -> multiply(V_3,multiply(Z,multiply(one,X)))
% Current number of equations to process: 4881
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [141]
% add(multiply(multiply(multiply(multiply(X,inverse(Y)),one),Z),V_3),multiply(
% multiply(
% add(
% add(
% multiply(
% multiply(X,X),V_4),
% multiply(
% multiply(
% inverse(Y),X),V_4)),
% add(
% multiply(
% multiply(X,X),
% inverse(V_4)),
% multiply(
% multiply(
% inverse(Y),X),
% inverse(V_4)))),Z),V_3))
% -> multiply(V_3,multiply(Z,multiply(one,X)))
% Current number of equations to process: 1952
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [142]
% add(multiply(multiply(multiply(multiply(add(add(multiply(X,Y),multiply(Z,Y)),
% add(multiply(X,inverse(Y)),multiply(Z,
% inverse(Y)))),V_3),V_4),V_5),V_6),
% multiply(multiply(multiply(multiply(multiply(inverse(add(X,Z)),one),V_3),V_4),V_5),V_6))
% -> multiply(V_6,multiply(V_5,multiply(V_4,multiply(V_3,multiply(one,one)))))
% Current number of equations to process: 2083
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [143]
% add(multiply(multiply(add(X,Y),inverse(add(Z,V_3))),V_4),multiply(add(
% add(
% add(
% multiply(X,Z),
% multiply(Y,Z)),
% add(
% multiply(X,V_3),
% multiply(Y,V_3))),
% add(
% multiply(Z,
% inverse(
% add(Z,V_3))),
% multiply(V_3,
% inverse(
% add(Z,V_3))))),V_4))
% -> add(multiply(X,V_4),multiply(Y,V_4))
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [144]
% add(multiply(X,multiply(add(Y,Z),multiply(V_3,one))),add(multiply(add(
% multiply(Y,
% multiply(V_4,V_3)),
% multiply(Z,
% multiply(V_4,V_3))),
% Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------