TSTP Solution File: BOO019-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : BOO019-1 : TPTP v6.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n055.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 00:19:11 EDT 2014
% Result : Timeout 300.07s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : BOO019-1 : TPTP v6.0.0. Released v1.2.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n055.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 17:42:23 CDT 2014
% % CPUTime : 300.07
% Processing problem /tmp/CiME_42224_n055.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " x,y : constant; inverse : 1; multiply : 3;";
% let X = vars "V W X Y Z";
% let Axioms = equations F X "
% multiply(multiply(V,W,X),Y,multiply(V,W,Z)) = multiply(V,W,multiply(X,Y,Z));
% multiply(X,X,Y) = X;
% multiply(inverse(Y),Y,X) = X;
% multiply(X,Y,inverse(Y)) = X;
% ";
%
% let s1 = status F "
% x lr_lex;
% y lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > y > x";
%
% let s2 = status F "
% x mul;
% y mul;
% inverse mul;
% multiply mul;
% ";
%
% let p2 = precedence F "
% multiply > inverse > y = x";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(y,x,x) = x;"
% ;
% (*
% 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(multiply(V,W,X),Y,multiply(V,W,Z)) =
% multiply(V,W,multiply(X,Y,Z)),
% multiply(X,X,Y) = X,
% multiply(inverse(Y),Y,X) = X,
% multiply(X,Y,inverse(Y)) = X } (4 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
%
% [x] = 1;
% [y] = 2;
% [inverse](x1) = 1 + x1;
% [multiply](x1,x2,x3) = 1 + x1 + x2 + x3;o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(y,x,x) = x } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] multiply(X,X,Y) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 1
% New rule produced : [2] multiply(X,Y,inverse(Y)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 2
% New rule produced : [3] multiply(inverse(Y),Y,X) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(multiply(V,W,X),Y,multiply(V,W,Z)) -> multiply(V,W,multiply(X,Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] multiply(V,W,V) -> V
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6] multiply(V,W,multiply(V,X,Y)) <-> multiply(V,X,multiply(V,W,Y))
% Current number of equations to process: 5
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [7] multiply(multiply(V,W,X),Y,V) -> multiply(V,W,multiply(X,Y,V))
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] multiply(V,W,multiply(V,X,inverse(W))) -> V
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9] multiply(V,W,multiply(V,X,Y)) <-> multiply(V,X,multiply(inverse(X),W,Y))
% Current number of equations to process: 4
% Current number of ordered equations: 3
% Current number of rules: 9
% New rule produced :
% [10] multiply(V,W,multiply(X,Y,inverse(W))) <-> multiply(V,W,multiply(X,Y,V))
% Current number of equations to process: 4
% Current number of ordered equations: 2
% Current number of rules: 10
% New rule produced :
% [11] multiply(V,W,multiply(X,Y,V)) <-> multiply(V,W,multiply(X,Y,inverse(W)))
% Current number of equations to process: 4
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced :
% [12] multiply(V,X,multiply(inverse(X),W,Y)) <-> multiply(V,W,multiply(V,X,Y))
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] multiply(V,W,multiply(inverse(W),X,V)) -> V
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] multiply(V,W,multiply(inverse(W),V,X)) -> V
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15] multiply(V,W,multiply(V,X,multiply(V,Y,inverse(W)))) -> V
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16] multiply(V,W,multiply(V,X,multiply(inverse(W),Y,V))) -> V
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [17]
% multiply(inverse(V),W,multiply(inverse(W),V,X)) -> multiply(inverse(V),W,X)
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [18] multiply(V,W,multiply(X,multiply(V,W,X),Y)) -> multiply(V,W,X)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] multiply(V,W,multiply(X,W,V)) -> multiply(V,W,X)
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [20] multiply(V,W,multiply(V,X,Y)) <-> multiply(V,W,multiply(inverse(W),X,Y))
% Current number of equations to process: 19
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [21] multiply(V,W,multiply(inverse(W),X,Y)) <-> multiply(V,W,multiply(V,X,Y))
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [22] multiply(V,W,multiply(V,W,inverse(X))) -> multiply(V,W,inverse(X))
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [23]
% multiply(inverse(V),W,multiply(X,V,inverse(W))) -> multiply(inverse(V),W,X)
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24] multiply(V,W,multiply(X,Y,multiply(V,W,X))) -> multiply(V,W,X)
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [25] multiply(V,W,multiply(V,inverse(W),X)) -> V
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [26] multiply(V,W,multiply(V,W,X)) -> multiply(V,W,X)
% Rule [22] multiply(V,W,multiply(V,W,inverse(X))) -> multiply(V,W,inverse(X))
% collapsed.
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27] multiply(V,W,multiply(multiply(inverse(W),X,V),Y,V)) -> V
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28] multiply(V,W,multiply(V,X,multiply(inverse(W),V,Y))) -> V
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29] multiply(V,W,multiply(multiply(inverse(W),V,X),Y,V)) -> V
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30] multiply(inverse(inverse(V)),V,W) -> inverse(inverse(V))
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31] multiply(V,W,multiply(inverse(W),X,multiply(V,Y,inverse(W)))) -> V
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32] multiply(V,W,multiply(V,X,multiply(inverse(X),Y,inverse(W)))) -> V
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33] multiply(V,W,multiply(inverse(W),X,multiply(inverse(W),Y,V))) -> V
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [34] multiply(V,W,multiply(V,X,multiply(inverse(W),Y,inverse(X)))) -> V
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35] multiply(V,W,multiply(inverse(W),X,multiply(inverse(W),V,Y))) -> V
% Current number of equations to process: 97
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [36] multiply(V,W,multiply(inverse(W),X,multiply(inverse(X),V,Y))) -> V
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [37] multiply(V,W,multiply(V,X,multiply(inverse(W),inverse(X),Y))) -> V
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38] multiply(V,W,multiply(inverse(W),X,multiply(V,Y,inverse(X)))) -> V
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [39] multiply(V,W,multiply(inverse(W),X,multiply(inverse(X),Y,V))) -> V
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [40] multiply(V,W,multiply(multiply(V,X,inverse(W)),V,Y)) -> V
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [41] multiply(V,W,multiply(multiply(inverse(W),X,V),V,Y)) -> V
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [42] multiply(V,W,multiply(multiply(inverse(W),V,X),V,Y)) -> V
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43]
% multiply(V,W,multiply(inverse(W),X,Y)) <->
% multiply(V,X,multiply(inverse(X),W,Y))
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44] multiply(V,W,multiply(V,X,multiply(inverse(X),inverse(W),Y))) -> V
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [45] multiply(V,W,multiply(V,X,multiply(V,inverse(W),Y))) -> V
% Current number of equations to process: 243
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46] multiply(V,W,multiply(multiply(V,inverse(W),X),V,Y)) -> V
% Current number of equations to process: 242
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [47]
% multiply(inverse(inverse(V)),W,multiply(inverse(W),V,X)) ->
% inverse(inverse(V))
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [48] multiply(V,W,multiply(inverse(W),X,multiply(V,inverse(W),Y))) -> V
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [49] multiply(V,W,multiply(inverse(W),X,multiply(V,inverse(X),Y))) -> V
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [50] multiply(V,inverse(W),multiply(V,X,multiply(inverse(X),W,Y))) -> V
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [51] multiply(V,W,multiply(V,inverse(X),multiply(inverse(W),X,Y))) -> V
% Current number of equations to process: 594
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [52] multiply(V,inverse(W),multiply(V,X,multiply(V,W,Y))) -> V
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [53] multiply(V,W,multiply(X,Y,multiply(V,W,inverse(Y)))) -> multiply(V,W,X)
% Current number of equations to process: 629
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [54] multiply(V,W,multiply(inverse(W),inverse(X),multiply(V,X,Y))) -> V
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [55]
% multiply(multiply(V,W,X),W,multiply(X,W,V)) -> multiply(multiply(V,W,X),W,X)
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [56]
% multiply(V,W,multiply(multiply(X,W,V),Y,Z)) -> multiply(V,W,multiply(X,Y,Z))
% Current number of equations to process: 751
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [57]
% multiply(V,W,multiply(X,Y,multiply(Z,W,V))) -> multiply(V,W,multiply(X,Y,Z))
% Current number of equations to process: 754
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [58] multiply(V,W,multiply(X,multiply(X,W,V),Y)) -> multiply(V,W,X)
% Current number of equations to process: 756
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [59] multiply(V,W,multiply(X,W,multiply(V,Y,X))) -> multiply(V,W,X)
% Current number of equations to process: 766
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [60] multiply(V,W,multiply(X,W,multiply(X,Y,V))) -> multiply(V,W,X)
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [61] multiply(V,W,multiply(X,W,multiply(inverse(W),Y,V))) -> multiply(V,W,X)
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [62] multiply(V,W,multiply(X,W,multiply(V,Y,inverse(W)))) -> multiply(V,W,X)
% Current number of equations to process: 1050
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [63]
% multiply(V,multiply(W,X,V),multiply(W,X,V)) -> multiply(V,multiply(W,X,V),W)
% Current number of equations to process: 1125
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [64]
% multiply(V,W,multiply(multiply(V,W,X),Y,Z)) -> multiply(V,W,multiply(X,Y,Z))
% Current number of equations to process: 1170
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [65]
% multiply(V,W,multiply(X,Y,multiply(V,W,Z))) -> multiply(V,W,multiply(X,Y,Z))
% Rule [24] multiply(V,W,multiply(X,Y,multiply(V,W,X))) -> multiply(V,W,X)
% collapsed.
% Rule
% [53] multiply(V,W,multiply(X,Y,multiply(V,W,inverse(Y)))) -> multiply(V,W,X)
% collapsed.
% Current number of equations to process: 1173
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [66] multiply(inverse(V),W,multiply(W,V,X)) -> multiply(inverse(V),W,W)
% Current number of equations to process: 1328
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [67] multiply(inverse(V),W,multiply(V,W,X)) -> multiply(inverse(V),W,V)
% Current number of equations to process: 1420
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [68] multiply(V,W,multiply(inverse(V),W,X)) -> multiply(V,W,inverse(V))
% Current number of equations to process: 1470
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [69] multiply(multiply(V,W,X),W,multiply(inverse(W),V,V)) -> multiply(V,W,X)
% Current number of equations to process: 1505
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [70] multiply(multiply(V,W,X),V,multiply(inverse(V),W,V)) -> multiply(V,W,X)
% Current number of equations to process: 1504
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [71]
% multiply(V,inverse(W),multiply(inverse(inverse(W)),X,multiply(V,W,Y))) -> V
% Current number of equations to process: 1536
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [72]
% multiply(V,multiply(V,W,X),multiply(X,W,V)) -> multiply(V,multiply(V,W,X),X)
% Current number of equations to process: 1556
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [73]
% multiply(V,multiply(W,X,V),multiply(W,X,Y)) -> multiply(V,multiply(W,X,V),W)
% Rule
% [63]
% multiply(V,multiply(W,X,V),multiply(W,X,V)) -> multiply(V,multiply(W,X,V),W)
% collapsed.
% Current number of equations to process: 1635
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [74]
% multiply(inverse(V),W,multiply(inverse(inverse(W)),V,X)) ->
% multiply(inverse(V),W,inverse(inverse(W)))
% Current number of equations to process: 1734
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [75]
% multiply(inverse(V),W,multiply(W,X,multiply(W,V,Y))) ->
% multiply(inverse(V),W,W)
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [76]
% multiply(inverse(V),W,multiply(V,X,multiply(V,W,Y))) ->
% multiply(inverse(V),W,V)
% Current number of equations to process: 1802
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [77]
% multiply(V,W,multiply(V,X,multiply(X,W,Y))) <->
% multiply(V,W,multiply(inverse(W),X,X))
% Current number of equations to process: 1832
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [78]
% multiply(V,W,multiply(inverse(W),X,X)) <->
% multiply(V,W,multiply(V,X,multiply(X,W,Y)))
% Current number of equations to process: 1832
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [79] multiply(V,W,multiply(X,W,multiply(X,V,Y))) -> multiply(V,W,X)
% Current number of equations to process: 1836
% Current number of ordered equations: 0
% Current number of rules: 75
% Rule [78]
% multiply(V,W,multiply(inverse(W),X,X)) <->
% multiply(V,W,multiply(V,X,multiply(X,W,Y))) is composed into [78]
% multiply(V,W,
% multiply(
% inverse(W),X,X))
% <->
% multiply(V,W,
% multiply(V,X,X))
% New rule produced :
% [80]
% multiply(V,W,multiply(V,X,multiply(X,W,Y))) -> multiply(V,W,multiply(V,X,X))
% Rule
% [77]
% multiply(V,W,multiply(V,X,multiply(X,W,Y))) <->
% multiply(V,W,multiply(inverse(W),X,X)) collapsed.
% Current number of equations to process: 1879
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [81] multiply(V,W,multiply(X,V,multiply(X,W,Y))) -> multiply(V,W,X)
% Current number of equations to process: 1935
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [82] multiply(V,W,multiply(X,W,multiply(V,X,Y))) -> multiply(V,W,X)
% Current number of equations to process: 1951
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [83] multiply(V,W,multiply(X,V,multiply(inverse(V),W,Y))) -> multiply(V,W,X)
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [84] multiply(V,W,multiply(X,W,multiply(inverse(W),V,Y))) -> multiply(V,W,X)
% Current number of equations to process: 1952
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [85]
% multiply(V,W,multiply(V,X,multiply(W,X,Y))) <-> multiply(V,X,multiply(V,W,W))
% Current number of equations to process: 1991
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [86]
% multiply(V,X,multiply(V,W,W)) <-> multiply(V,W,multiply(V,X,multiply(W,X,Y)))
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 81
% Rule [86]
% multiply(V,X,multiply(V,W,W)) <->
% multiply(V,W,multiply(V,X,multiply(W,X,Y))) is composed into [86]
% multiply(V,X,
% multiply(V,W,W))
% <->
% multiply(V,W,
% multiply(V,X,W))
% New rule produced :
% [87]
% multiply(V,W,multiply(V,X,multiply(W,X,Y))) -> multiply(V,W,multiply(V,X,W))
% Rule
% [85]
% multiply(V,W,multiply(V,X,multiply(W,X,Y))) <-> multiply(V,X,multiply(V,W,W))
% collapsed.
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [88]
% multiply(V,W,multiply(W,X,multiply(V,X,Y))) -> multiply(V,W,multiply(W,X,V))
% Current number of equations to process: 2198
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [89]
% multiply(V,W,multiply(X,Y,multiply(V,Z,inverse(W)))) ->
% multiply(V,W,multiply(X,Y,V))
% Rule [15] multiply(V,W,multiply(V,X,multiply(V,Y,inverse(W)))) -> V
% collapsed.
% Rule [31] multiply(V,W,multiply(inverse(W),X,multiply(V,Y,inverse(W)))) -> V
% collapsed.
% Rule
% [62] multiply(V,W,multiply(X,W,multiply(V,Y,inverse(W)))) -> multiply(V,W,X)
% collapsed.
% Current number of equations to process: 2282
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [90]
% multiply(V,X,multiply(multiply(V,Z,inverse(X)),W,Y)) ->
% multiply(V,W,multiply(V,X,Y))
% Rule [40] multiply(V,W,multiply(multiply(V,X,inverse(W)),V,Y)) -> V
% collapsed.
% Current number of equations to process: 2282
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [91] multiply(V,W,multiply(V,multiply(V,X,inverse(W)),Y)) -> V
% Current number of equations to process: 2337
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [92] multiply(V,W,multiply(inverse(W),multiply(V,X,inverse(W)),Y)) -> V
% Current number of equations to process: 2473
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [93]
% multiply(multiply(inverse(V),W,X),W,multiply(inverse(W),V,X)) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 2499
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [94]
% multiply(V,W,multiply(X,Y,multiply(inverse(W),Z,V))) ->
% multiply(V,W,multiply(X,Y,V))
% Rule [16] multiply(V,W,multiply(V,X,multiply(inverse(W),Y,V))) -> V
% collapsed.
% Rule [33] multiply(V,W,multiply(inverse(W),X,multiply(inverse(W),Y,V))) -> V
% collapsed.
% Rule
% [61] multiply(V,W,multiply(X,W,multiply(inverse(W),Y,V))) -> multiply(V,W,X)
% collapsed.
% Current number of equations to process: 2567
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [95]
% multiply(V,X,multiply(multiply(inverse(X),Z,V),W,Y)) ->
% multiply(V,W,multiply(V,X,Y))
% Rule [27] multiply(V,W,multiply(multiply(inverse(W),X,V),Y,V)) -> V
% collapsed.
% Rule [41] multiply(V,W,multiply(multiply(inverse(W),X,V),V,Y)) -> V
% collapsed.
% Current number of equations to process: 2567
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [96] multiply(V,W,multiply(V,multiply(inverse(W),X,V),Y)) -> V
% Current number of equations to process: 2667
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [97] multiply(V,W,multiply(inverse(W),multiply(inverse(W),X,V),Y)) -> V
% Current number of equations to process: 2860
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [98]
% multiply(inverse(V),W,multiply(X,V,multiply(inverse(W),Y,X))) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 2939
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [99]
% multiply(V,W,multiply(X,Y,multiply(inverse(W),V,Z))) ->
% multiply(V,W,multiply(X,Y,V))
% Rule [28] multiply(V,W,multiply(V,X,multiply(inverse(W),V,Y))) -> V
% collapsed.
% Rule [35] multiply(V,W,multiply(inverse(W),X,multiply(inverse(W),V,Y))) -> V
% collapsed.
% Rule
% [84] multiply(V,W,multiply(X,W,multiply(inverse(W),V,Y))) -> multiply(V,W,X)
% collapsed.
% Current number of equations to process: 3020
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [100]
% multiply(V,X,multiply(multiply(inverse(X),V,Z),W,Y)) ->
% multiply(V,W,multiply(V,X,Y))
% Rule [29] multiply(V,W,multiply(multiply(inverse(W),V,X),Y,V)) -> V
% collapsed.
% Rule [42] multiply(V,W,multiply(multiply(inverse(W),V,X),V,Y)) -> V
% collapsed.
% Current number of equations to process: 3020
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [101] multiply(V,W,multiply(V,multiply(inverse(W),V,X),Y)) -> V
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [102] multiply(V,W,multiply(inverse(W),multiply(inverse(W),V,X),Y)) -> V
% Current number of equations to process: 3224
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [103] multiply(V,W,multiply(V,X,multiply(V,Y,multiply(V,Z,inverse(W))))) -> V
% Current number of equations to process: 3262
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [104] multiply(V,W,multiply(V,X,multiply(V,Y,multiply(inverse(W),Z,V)))) -> V
% Current number of equations to process: 3285
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [105] multiply(V,W,multiply(V,X,multiply(multiply(inverse(W),Y,V),Z,V))) -> V
% Current number of equations to process: 3350
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [106] multiply(V,W,multiply(multiply(V,X,multiply(V,Y,inverse(W))),V,Z)) -> V
% Current number of equations to process: 3415
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [107] multiply(V,W,multiply(multiply(V,X,multiply(inverse(W),Y,V)),V,Z)) -> V
% Current number of equations to process: 3441
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [108]
% multiply(inverse(V),W,multiply(X,multiply(inverse(W),V,X),Y)) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 3525
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [109]
% multiply(multiply(V,W,inverse(X)),X,multiply(inverse(X),W,V)) ->
% multiply(V,W,inverse(X))
% Current number of equations to process: 3633
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [110]
% multiply(V,W,multiply(V,X,Y)) <->
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V)))
% Current number of equations to process: 3683
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [111]
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V))) <->
% multiply(V,W,multiply(V,X,Y))
% Current number of equations to process: 3683
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [112]
% multiply(multiply(V,W,inverse(X)),W,multiply(inverse(W),X,V)) ->
% multiply(V,W,inverse(X))
% Current number of equations to process: 3901
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [113]
% multiply(inverse(V),W,multiply(X,Y,multiply(inverse(W),V,X))) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 3952
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [114]
% multiply(V,W,multiply(X,Y,multiply(V,inverse(W),Z))) ->
% multiply(V,W,multiply(X,Y,V))
% Rule [45] multiply(V,W,multiply(V,X,multiply(V,inverse(W),Y))) -> V
% collapsed.
% Rule [48] multiply(V,W,multiply(inverse(W),X,multiply(V,inverse(W),Y))) -> V
% collapsed.
% Current number of equations to process: 4062
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [115]
% multiply(V,X,multiply(multiply(V,inverse(X),Z),W,Y)) ->
% multiply(V,W,multiply(V,X,Y))
% Rule [46] multiply(V,W,multiply(multiply(V,inverse(W),X),V,Y)) -> V
% collapsed.
% Current number of equations to process: 4062
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [116] multiply(V,W,multiply(V,multiply(V,inverse(W),X),Y)) -> V
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [117] multiply(V,W,multiply(inverse(W),multiply(V,inverse(W),X),Y)) -> V
% Current number of equations to process: 4297
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [118]
% multiply(V,W,multiply(V,X,multiply(inverse(X),W,Y))) ->
% multiply(V,W,multiply(V,X,Y))
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [119]
% multiply(V,W,multiply(inverse(W),X,multiply(V,X,Y))) ->
% multiply(V,W,multiply(V,X,Y))
% Current number of equations to process: 4462
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [120] multiply(multiply(V,W,X),W,multiply(V,Y,inverse(W))) -> multiply(V,W,X)
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [121] multiply(V,W,multiply(multiply(multiply(inverse(W),X,V),Y,V),Z,V)) -> V
% Current number of equations to process: 4541
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [122] multiply(V,W,multiply(multiply(multiply(inverse(W),X,V),Y,V),V,Z)) -> V
% Current number of equations to process: 4618
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [123] multiply(V,W,multiply(V,X,multiply(V,Y,multiply(inverse(W),V,Z)))) -> V
% Current number of equations to process: 4698
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [124] multiply(V,W,multiply(V,X,multiply(multiply(inverse(W),V,Y),Z,V))) -> V
% Current number of equations to process: 4737
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [125] multiply(V,W,multiply(multiply(V,X,multiply(inverse(W),V,Y)),V,Z)) -> V
% Current number of equations to process: 4775
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [126] multiply(V,W,multiply(multiply(multiply(inverse(W),V,X),Y,V),Z,V)) -> V
% Current number of equations to process: 4808
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [127] multiply(V,W,multiply(multiply(multiply(inverse(W),V,X),Y,V),V,Z)) -> V
% Current number of equations to process: 4842
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [128] multiply(V,W,multiply(V,X,multiply(multiply(V,Y,inverse(W)),V,Z))) -> V
% Current number of equations to process: 4876
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [129] multiply(V,W,multiply(multiply(multiply(V,X,inverse(W)),V,Y),Z,V)) -> V
% Current number of equations to process: 4910
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [130] multiply(V,W,multiply(multiply(multiply(V,X,inverse(W)),V,Y),V,Z)) -> V
% Current number of equations to process: 4941
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [131] multiply(V,W,multiply(V,X,multiply(multiply(inverse(W),Y,V),V,Z))) -> V
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [132] multiply(V,W,multiply(multiply(multiply(inverse(W),X,V),V,Y),Z,V)) -> V
% Current number of equations to process: 1907
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [133] multiply(V,W,multiply(multiply(multiply(inverse(W),X,V),V,Y),V,Z)) -> V
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [134] multiply(V,W,multiply(V,X,multiply(multiply(inverse(W),V,Y),V,Z))) -> V
% Current number of equations to process: 2069
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [135] multiply(V,W,multiply(multiply(multiply(inverse(W),V,X),V,Y),Z,V)) -> V
% Current number of equations to process: 2109
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [136] multiply(V,W,multiply(multiply(multiply(inverse(W),V,X),V,Y),V,Z)) -> V
% Current number of equations to process: 2145
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [137] multiply(V,W,multiply(V,X,multiply(V,Y,multiply(V,inverse(W),Z)))) -> V
% Current number of equations to process: 2180
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [138] multiply(V,W,multiply(multiply(V,X,multiply(V,inverse(W),Y)),V,Z)) -> V
% Current number of equations to process: 2214
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [139] multiply(V,W,multiply(V,X,multiply(multiply(V,inverse(W),Y),V,Z))) -> V
% Current number of equations to process: 2251
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [140] multiply(V,W,multiply(multiply(multiply(V,inverse(W),X),V,Y),Z,V)) -> V
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [141] multiply(V,W,multiply(multiply(multiply(V,inverse(W),X),V,Y),V,Z)) -> V
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [142]
% multiply(inverse(V),W,multiply(X,inverse(W),multiply(X,V,Y))) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 2367
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [143]
% multiply(inverse(V),W,multiply(X,V,multiply(X,inverse(W),Y))) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [144] multiply(V,inverse(W),multiply(V,X,multiply(V,Y,multiply(V,W,Z)))) -> V
% Current number of equations to process: 2466
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [145] multiply(V,inverse(W),multiply(multiply(V,X,multiply(V,W,Y)),V,Z)) -> V
% Current number of equations to process: 2499
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [146] multiply(V,inverse(W),multiply(multiply(V,W,X),V,Y)) -> V
% Current number of equations to process: 2499
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [147]
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V))) <->
% multiply(V,X,multiply(V,W,Y))
% Current number of equations to process: 2566
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [148]
% multiply(V,X,multiply(V,W,Y)) <->
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V)))
% Current number of equations to process: 2566
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [149]
% multiply(V,W,multiply(V,X,multiply(Y,W,inverse(X)))) ->
% multiply(V,W,multiply(V,X,Y))
% Current number of equations to process: 2961
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [150]
% multiply(inverse(V),W,multiply(X,multiply(X,V,inverse(W)),Y)) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 3016
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [151]
% multiply(inverse(V),W,multiply(X,V,multiply(X,Y,inverse(W)))) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [152]
% multiply(inverse(V),W,multiply(X,V,multiply(inverse(W),X,Y))) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 3110
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [153]
% multiply(inverse(V),W,multiply(W,X,multiply(inverse(X),V,Y))) ->
% multiply(inverse(V),W,W)
% Current number of equations to process: 3158
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [154]
% multiply(inverse(V),W,multiply(V,X,multiply(inverse(X),W,Y))) ->
% multiply(inverse(V),W,V)
% Current number of equations to process: 3213
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [155]
% multiply(V,W,multiply(inverse(V),X,multiply(inverse(V),W,Y))) ->
% multiply(V,W,inverse(V))
% Current number of equations to process: 3265
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [156]
% multiply(V,W,multiply(inverse(V),X,multiply(inverse(X),W,Y))) ->
% multiply(V,W,inverse(V))
% Current number of equations to process: 3327
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [157]
% multiply(inverse(V),W,multiply(X,Y,multiply(X,V,inverse(W)))) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 3375
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [158] multiply(V,W,multiply(V,X,multiply(V,multiply(V,Y,inverse(W)),Z))) -> V
% Current number of equations to process: 3418
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [159] multiply(V,W,multiply(multiply(V,multiply(V,X,inverse(W)),Y),V,Z)) -> V
% Current number of equations to process: 3462
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [160]
% multiply(inverse(V),W,multiply(multiply(inverse(W),V,X),V,X)) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [161] multiply(V,W,multiply(V,multiply(multiply(inverse(W),X,V),W,V),Y)) -> V
% Current number of equations to process: 3634
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [162] multiply(V,W,multiply(V,X,multiply(V,multiply(inverse(W),Y,V),Z))) -> V
% Current number of equations to process: 3736
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [163] multiply(V,W,multiply(multiply(V,multiply(inverse(W),X,V),Y),V,Z)) -> V
% Current number of equations to process: 3843
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [164] multiply(V,W,multiply(V,multiply(multiply(inverse(W),V,X),W,V),Y)) -> V
% Current number of equations to process: 3937
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [165] multiply(V,W,multiply(V,X,multiply(V,multiply(inverse(W),V,Y),Z))) -> V
% Current number of equations to process: 3979
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [166] multiply(V,W,multiply(multiply(V,multiply(inverse(W),V,X),Y),V,Z)) -> V
% Current number of equations to process: 4029
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [167] multiply(V,W,multiply(V,X,multiply(V,multiply(V,inverse(W),Y),Z))) -> V
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [168] multiply(V,W,multiply(V,multiply(V,X,multiply(V,inverse(W),Y)),Z)) -> V
% Current number of equations to process: 4105
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [169] multiply(V,W,multiply(multiply(V,multiply(V,inverse(W),X),Y),V,Z)) -> V
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [170]
% multiply(V,W,multiply(V,X,multiply(Y,X,inverse(W)))) ->
% multiply(V,W,multiply(V,X,Y))
% Current number of equations to process: 4189
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [171]
% multiply(V,W,multiply(V,X,multiply(inverse(W),X,Y))) <->
% multiply(V,X,multiply(V,W,Y))
% Current number of equations to process: 4246
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [172]
% multiply(V,X,multiply(V,W,Y)) <->
% multiply(V,W,multiply(V,X,multiply(inverse(W),X,Y)))
% Current number of equations to process: 4246
% Current number of ordered equations: 0
% Current number of rules: 149
% Rule [172]
% multiply(V,X,multiply(V,W,Y)) <->
% multiply(V,W,multiply(V,X,multiply(inverse(W),X,Y))) is composed into
% [172] multiply(V,X,multiply(V,W,Y)) <-> multiply(V,W,multiply(V,X,Y))
% New rule produced :
% [173]
% multiply(V,W,multiply(V,X,multiply(inverse(W),X,Y))) ->
% multiply(V,W,multiply(V,X,Y))
% Rule
% [171]
% multiply(V,W,multiply(V,X,multiply(inverse(W),X,Y))) <->
% multiply(V,X,multiply(V,W,Y)) collapsed.
% Current number of equations to process: 4805
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [174] multiply(V,inverse(W),multiply(V,X,multiply(multiply(V,W,Y),V,Z))) -> V
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [175] multiply(V,inverse(W),multiply(multiply(multiply(V,W,X),V,Y),Z,V)) -> V
% Current number of equations to process: 1063
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [176] multiply(V,inverse(W),multiply(multiply(multiply(V,W,X),V,Y),V,Z)) -> V
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [177]
% multiply(multiply(V,W,X),V,multiply(V,inverse(W),Y)) ->
% multiply(V,W,multiply(X,V,V))
% Current number of equations to process: 1151
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [178] multiply(V,W,multiply(multiply(inverse(V),W,X),V,V)) -> V
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [179] multiply(V,W,multiply(multiply(inverse(V),W,X),V,inverse(W))) -> V
% Current number of equations to process: 1364
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [180] multiply(V,W,multiply(V,X,multiply(multiply(inverse(V),W,Y),V,V))) -> V
% Current number of equations to process: 1401
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [181] multiply(V,W,multiply(multiply(multiply(inverse(V),W,X),V,V),Y,V)) -> V
% Current number of equations to process: 1444
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [182] multiply(V,W,multiply(multiply(multiply(inverse(V),W,X),V,V),V,Y)) -> V
% Current number of equations to process: 1479
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [183]
% multiply(V,W,multiply(V,X,multiply(V,Y,Z))) <->
% multiply(V,Y,multiply(V,W,multiply(V,X,Z)))
% Rule [52] multiply(V,inverse(W),multiply(V,X,multiply(V,W,Y))) -> V
% collapsed.
% Current number of equations to process: 1513
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [184]
% multiply(V,Y,multiply(V,W,multiply(V,X,Z))) <->
% multiply(V,W,multiply(V,X,multiply(V,Y,Z)))
% Current number of equations to process: 1513
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [185]
% multiply(V,W,multiply(X,Y,multiply(X,multiply(V,W,X),Z))) -> multiply(V,W,X)
% Current number of equations to process: 2172
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [186]
% multiply(inverse(V),inverse(W),multiply(X,V,multiply(X,W,Y))) ->
% multiply(inverse(V),inverse(W),X)
% Current number of equations to process: 2385
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [187]
% multiply(inverse(V),inverse(W),multiply(X,W,multiply(X,V,Y))) ->
% multiply(inverse(V),inverse(W),X)
% Current number of equations to process: 2457
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [188]
% multiply(V,W,multiply(X,W,multiply(V,Y,Z))) <->
% multiply(V,W,multiply(X,Y,multiply(X,W,Z)))
% Current number of equations to process: 2527
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [189]
% multiply(V,W,multiply(X,Y,multiply(X,W,Z))) <->
% multiply(V,W,multiply(X,W,multiply(V,Y,Z)))
% Current number of equations to process: 2527
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [190]
% multiply(V,W,multiply(X,W,multiply(Y,Z,V))) <->
% multiply(V,W,multiply(X,W,multiply(Y,Z,X)))
% Current number of equations to process: 3048
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced :
% [191]
% multiply(V,W,multiply(X,W,multiply(Y,Z,X))) <->
% multiply(V,W,multiply(X,W,multiply(Y,Z,V)))
% Current number of equations to process: 3048
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [192]
% multiply(inverse(V),W,multiply(X,V,multiply(Y,W,X))) ->
% multiply(inverse(V),W,multiply(X,V,Y))
% Current number of equations to process: 3557
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [193]
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V))) <->
% multiply(V,X,multiply(inverse(X),W,Y))
% Current number of equations to process: 3704
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [194]
% multiply(V,X,multiply(inverse(X),W,Y)) <->
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V)))
% Current number of equations to process: 3704
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [195] multiply(multiply(V,W,X),W,multiply(inverse(W),Y,V)) -> multiply(V,W,X)
% Rule
% [69] multiply(multiply(V,W,X),W,multiply(inverse(W),V,V)) -> multiply(V,W,X)
% collapsed.
% Rule
% [112]
% multiply(multiply(V,W,inverse(X)),W,multiply(inverse(W),X,V)) ->
% multiply(V,W,inverse(X)) collapsed.
% Current number of equations to process: 3716
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [196] multiply(multiply(V,W,X),Y,multiply(inverse(Y),W,V)) -> multiply(V,W,X)
% Rule
% [70] multiply(multiply(V,W,X),V,multiply(inverse(V),W,V)) -> multiply(V,W,X)
% collapsed.
% Rule
% [109]
% multiply(multiply(V,W,inverse(X)),X,multiply(inverse(X),W,V)) ->
% multiply(V,W,inverse(X)) collapsed.
% Current number of equations to process: 4350
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [197]
% multiply(V,W,multiply(X,Y,multiply(X,multiply(X,W,V),Z))) -> multiply(V,W,X)
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [198]
% multiply(multiply(V,W,X),W,multiply(V,multiply(V,W,X),Y)) -> multiply(V,W,X)
% Current number of equations to process: 4733
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [199]
% multiply(V,W,multiply(X,multiply(multiply(X,W,V),W,V),Y)) -> multiply(V,W,X)
% Current number of equations to process: 4813
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [200]
% multiply(inverse(V),W,multiply(X,V,multiply(X,W,Y))) ->
% multiply(inverse(V),W,multiply(X,V,Y))
% Current number of equations to process: 4987
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [201]
% multiply(inverse(V),W,multiply(X,V,Y)) <->
% multiply(inverse(V),W,multiply(X,W,Y))
% Current number of equations to process: 1829
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [202]
% multiply(inverse(V),W,multiply(X,W,Y)) <->
% multiply(inverse(V),W,multiply(X,V,Y))
% Current number of equations to process: 1829
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [203]
% multiply(inverse(V),W,multiply(multiply(inverse(W),V,X),W,X)) ->
% multiply(inverse(V),W,X)
% Current number of equations to process: 2327
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [204]
% multiply(inverse(V),W,multiply(X,W,multiply(X,V,Y))) ->
% multiply(inverse(V),W,multiply(X,V,Y))
% Current number of equations to process: 2481
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [205]
% multiply(multiply(V,W,inverse(X)),V,multiply(V,X,Y)) ->
% multiply(V,W,multiply(inverse(X),V,V))
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [206]
% multiply(multiply(inverse(V),W,X),X,multiply(X,V,Y)) ->
% multiply(multiply(inverse(V),W,X),X,X)
% Current number of equations to process: 2694
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [207]
% multiply(multiply(inverse(V),W,X),W,multiply(W,V,Y)) ->
% multiply(multiply(inverse(V),W,X),W,W)
% Current number of equations to process: 2835
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [208]
% multiply(multiply(V,inverse(W),X),V,multiply(V,W,Y)) ->
% multiply(V,inverse(W),multiply(X,V,V))
% Current number of equations to process: 2898
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [209]
% multiply(V,multiply(V,W,X),multiply(X,W,Y)) -> multiply(V,multiply(V,W,X),X)
% Rule
% [72]
% multiply(V,multiply(V,W,X),multiply(X,W,V)) -> multiply(V,multiply(V,W,X),X)
% collapsed.
% Current number of equations to process: 3136
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [210]
% multiply(inverse(V),W,multiply(multiply(W,V,Z),X,Y)) ->
% multiply(inverse(V),W,multiply(W,X,Y))
% Current number of equations to process: 3329
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [211]
% multiply(inverse(V),W,multiply(X,Y,multiply(W,V,Z))) ->
% multiply(inverse(V),W,multiply(X,Y,W))
% Rule
% [75]
% multiply(inverse(V),W,multiply(W,X,multiply(W,V,Y))) ->
% multiply(inverse(V),W,W) collapsed.
% Current number of equations to process: 3329
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [212]
% multiply(inverse(V),W,multiply(W,multiply(W,V,X),Y)) ->
% multiply(inverse(V),W,W)
% Current number of equations to process: 3349
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [213] multiply(multiply(V,W,X),W,multiply(inverse(W),V,Y)) -> multiply(V,W,X)
% Current number of equations to process: 3452
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [214] multiply(multiply(V,W,X),V,multiply(inverse(V),W,Y)) -> multiply(V,W,X)
% Current number of equations to process: 3625
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [215]
% multiply(inverse(V),W,multiply(V,multiply(V,W,X),Y)) ->
% multiply(inverse(V),W,V)
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [216]
% multiply(inverse(V),W,multiply(multiply(V,W,X),V,Y)) ->
% multiply(inverse(V),W,V)
% Current number of equations to process: 3835
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [217]
% multiply(inverse(V),W,multiply(multiply(V,W,X),W,Y)) ->
% multiply(inverse(V),W,V)
% Current number of equations to process: 4043
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [218]
% multiply(multiply(V,W,X),V,multiply(inverse(W),V,V)) ->
% multiply(multiply(V,W,X),V,inverse(W))
% Current number of equations to process: 4138
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [219]
% multiply(inverse(V),W,multiply(X,Y,multiply(V,W,Z))) ->
% multiply(inverse(V),W,multiply(X,Y,V))
% Rule
% [76]
% multiply(inverse(V),W,multiply(V,X,multiply(V,W,Y))) ->
% multiply(inverse(V),W,V) collapsed.
% Current number of equations to process: 4192
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [220]
% multiply(inverse(V),W,multiply(multiply(V,W,Z),X,Y)) ->
% multiply(inverse(V),W,multiply(V,X,Y))
% Rule
% [216]
% multiply(inverse(V),W,multiply(multiply(V,W,X),V,Y)) ->
% multiply(inverse(V),W,V) collapsed.
% Rule
% [217]
% multiply(inverse(V),W,multiply(multiply(V,W,X),W,Y)) ->
% multiply(inverse(V),W,V) collapsed.
% Current number of equations to process: 4192
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [221]
% multiply(multiply(V,W,X),W,multiply(inverse(V),W,V)) ->
% multiply(multiply(V,W,X),W,inverse(V))
% Current number of equations to process: 4529
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [222]
% multiply(V,W,multiply(X,Y,multiply(inverse(V),W,Z))) ->
% multiply(V,W,multiply(X,Y,inverse(V)))
% Rule
% [83] multiply(V,W,multiply(X,V,multiply(inverse(V),W,Y))) -> multiply(V,W,X)
% collapsed.
% Rule
% [155]
% multiply(V,W,multiply(inverse(V),X,multiply(inverse(V),W,Y))) ->
% multiply(V,W,inverse(V)) collapsed.
% Current number of equations to process: 4587
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [223]
% multiply(V,W,multiply(multiply(inverse(V),W,Z),X,Y)) ->
% multiply(V,W,multiply(inverse(V),X,Y))
% Rule [178] multiply(V,W,multiply(multiply(inverse(V),W,X),V,V)) -> V
% collapsed.
% Rule [179] multiply(V,W,multiply(multiply(inverse(V),W,X),V,inverse(W))) -> V
% collapsed.
% Current number of equations to process: 4587
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [224]
% multiply(V,W,multiply(inverse(V),multiply(inverse(V),W,X),Y)) ->
% multiply(V,W,inverse(V))
% Current number of equations to process: 4787
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [225]
% multiply(V,W,multiply(X,W,multiply(X,Y,multiply(X,V,Z)))) -> multiply(V,W,X)
% Current number of equations to process: 2142
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [226]
% multiply(V,W,multiply(X,V,multiply(X,Y,multiply(X,W,Z)))) -> multiply(V,W,X)
% Current number of equations to process: 2247
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [227]
% multiply(V,W,multiply(X,W,multiply(V,Y,multiply(V,X,Z)))) -> multiply(V,W,X)
% Current number of equations to process: 2349
% Current number of ordered equations: 0
% Current number of rules: 189
% Rule [194]
% multiply(V,X,multiply(inverse(X),W,Y)) <->
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V))) is composed into
% [194]
% multiply(V,X,multiply(inverse(X),W,Y)) <->
% multiply(V,W,multiply(inverse(W),X,Y))
% Rule [148]
% multiply(V,X,multiply(V,W,Y)) <->
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V))) is composed into
% [148]
% multiply(V,X,multiply(V,W,Y)) <-> multiply(V,W,multiply(inverse(W),X,Y))
% Rule [110]
% multiply(V,W,multiply(V,X,Y)) <->
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V))) is composed into
% [110]
% multiply(V,W,multiply(V,X,Y)) <-> multiply(V,W,multiply(inverse(W),X,Y))
% New rule produced :
% [228]
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V))) ->
% multiply(V,W,multiply(inverse(W),X,Y))
% Rule
% [111]
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V))) <->
% multiply(V,W,multiply(V,X,Y)) collapsed.
% Rule
% [147]
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V))) <->
% multiply(V,X,multiply(V,W,Y)) collapsed.
% Rule
% [193]
% multiply(V,W,multiply(inverse(W),X,multiply(Y,X,V))) <->
% multiply(V,X,multiply(inverse(X),W,Y)) collapsed.
% Current number of equations to process: 2420
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [229]
% multiply(V,W,multiply(multiply(inverse(W),X,Y),X,V)) ->
% multiply(V,W,multiply(inverse(W),X,Y))
% Current number of equations to process: 2594
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [230]
% multiply(V,W,multiply(V,X,multiply(V,Y,Z))) <->
% multiply(V,Y,multiply(V,X,multiply(V,W,Z)))
% Current number of equations to process: 2739
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [231]
% multiply(V,W,multiply(X,Y,multiply(X,W,multiply(X,V,Z)))) -> multiply(V,W,X)
% Current number of equations to process: 3140
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [232]
% multiply(V,W,multiply(X,Y,multiply(X,V,multiply(X,W,Z)))) -> multiply(V,W,X)
% Current number of equations to process: 3249
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [233]
% multiply(inverse(inverse(V)),W,multiply(X,W,multiply(X,V,Y))) ->
% multiply(inverse(inverse(V)),W,X)
% Current number of equations to process: 3345
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [234]
% multiply(inverse(inverse(V)),W,multiply(X,V,multiply(X,W,Y))) ->
% multiply(inverse(inverse(V)),W,X)
% Current number of equations to process: 3431
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [235]
% multiply(V,W,multiply(inverse(X),W,multiply(V,X,Y))) ->
% multiply(V,W,multiply(inverse(X),W,Y))
% Current number of equations to process: 3512
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [236]
% multiply(V,W,multiply(inverse(inverse(X)),W,multiply(V,X,Y))) ->
% multiply(V,W,inverse(inverse(X)))
% Current number of equations to process: 3778
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [237]
% multiply(V,W,multiply(X,W,multiply(V,Y,Z))) <->
% multiply(V,W,multiply(X,W,multiply(X,Y,Z)))
% Current number of equations to process: 3875
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [238]
% multiply(V,W,multiply(X,W,multiply(X,Y,Z))) <->
% multiply(V,W,multiply(X,W,multiply(V,Y,Z)))
% Current number of equations to process: 3875
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [239]
% multiply(inverse(V),W,multiply(X,W,multiply(Y,V,X))) ->
% multiply(inverse(V),W,multiply(X,W,Y))
% Current number of equations to process: 4525
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [240]
% multiply(V,W,multiply(inverse(X),W,multiply(Y,X,V))) ->
% multiply(V,W,multiply(inverse(X),W,Y))
% Current number of equations to process: 4715
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [241]
% multiply(V,W,multiply(V,X,multiply(Y,X,Z))) <->
% multiply(V,W,multiply(V,X,multiply(Y,W,Z)))
% Current number of equations to process: 4911
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [242]
% multiply(V,W,multiply(V,X,multiply(Y,W,Z))) <->
% multiply(V,W,multiply(V,X,multiply(Y,X,Z)))
% Current number of equations to process: 4911
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [243]
% multiply(multiply(V,W,X),Y,multiply(inverse(W),Y,V)) ->
% multiply(multiply(V,W,X),Y,inverse(W))
% Rule
% [218]
% multiply(multiply(V,W,X),V,multiply(inverse(W),V,V)) ->
% multiply(multiply(V,W,X),V,inverse(W)) collapsed.
% Current number of equations to process: 1835
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [244]
% multiply(V,inverse(W),multiply(X,V,multiply(V,W,Y))) ->
% multiply(V,inverse(W),multiply(X,V,V))
% Current number of equations to process: 2001
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [245]
% multiply(multiply(inverse(V),W,X),W,multiply(V,W,Y)) ->
% multiply(multiply(inverse(V),W,X),W,V)
% Current number of equations to process: 2096
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [246]
% multiply(V,W,multiply(X,Y,multiply(X,W,multiply(V,X,Z)))) -> multiply(V,W,X)
% Current number of equations to process: 2160
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [247]
% multiply(V,W,multiply(X,W,multiply(V,Y,multiply(X,V,Z)))) -> multiply(V,W,X)
% Current number of equations to process: 2274
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [248]
% multiply(multiply(V,W,X),V,multiply(inverse(W),V,Y)) ->
% multiply(multiply(V,W,X),V,inverse(W))
% Current number of equations to process: 2384
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [249]
% multiply(multiply(V,W,X),W,multiply(inverse(V),W,Y)) ->
% multiply(multiply(V,W,X),W,inverse(V))
% Rule
% [221]
% multiply(multiply(V,W,X),W,multiply(inverse(V),W,V)) ->
% multiply(multiply(V,W,X),W,inverse(V)) collapsed.
% Current number of equations to process: 2451
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [250]
% multiply(V,W,multiply(X,W,multiply(X,Y,multiply(V,X,Z)))) -> multiply(V,W,X)
% Current number of equations to process: 2521
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [251]
% multiply(multiply(V,W,X),W,multiply(inverse(Y),W,V)) Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------