TSTP Solution File: GRP506-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP506-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n152.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 00:23:22 EDT 2014
% Result : Timeout 300.01s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP506-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n152.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun 6 15:01:58 CDT 2014
% % CPUTime : 300.01
% Processing problem /tmp/CiME_20839_n152.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a2,b2 : constant; inverse : 1; multiply : 2;";
% let X = vars "A B C D E F";
% let Axioms = equations F X "
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,inverse(F)),inverse(D))))))),F) = E;
% ";
%
% let s1 = status F "
% a2 lr_lex;
% b2 lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > b2 > a2";
%
% let s2 = status F "
% a2 mul;
% b2 mul;
% inverse mul;
% multiply mul;
% ";
%
% let p2 = precedence F "
% multiply > inverse > b2 = a2";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(multiply(inverse(b2),b2),a2) = a2;"
% ;
% (*
% 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(inverse(multiply(inverse(multiply(
% inverse(
% multiply(A,B)),
% multiply(B,A))),
% multiply(inverse(multiply(C,D)),
% multiply(C,inverse(multiply(
% multiply(E,
% inverse(F)),
% inverse(D))))))),F)
% = E } (1 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(multiply(inverse(b2),b2),a2) = a2 }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced :
% [1]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(
% multiply(E,
% inverse(F)),
% inverse(D))))))),F)
% -> E
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(
% multiply(E,
% inverse(
% inverse(F))),
% inverse(V_9)))))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(E,
% inverse(D))))))),F)
% Current number of equations to process: 4
% Current number of ordered equations: 1
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(E,
% inverse(D))))))),F)
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(
% multiply(E,
% inverse(
% inverse(F))),
% inverse(V_9)))))))
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(C,D)),
% multiply(C,
% inverse(multiply(E,
% inverse(D))))))),F),
% inverse(F)) -> E
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),
% multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(multiply(
% multiply(A,
% inverse(F)),
% inverse(
% inverse(F))),
% inverse(E)))))))
% -> A
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(
% multiply(A,B)),
% multiply(B,A))),multiply(
% inverse(
% multiply(C,D)),
% multiply(C,
% inverse(
% multiply(E,
% inverse(D))))))),F),V_6),
% inverse(V_6)) -> multiply(E,inverse(inverse(F)))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(
% multiply(E,F),
% inverse(F)),
% inverse(D)))))))
% -> E
% Rule
% [5]
% inverse(multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),
% multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(multiply(
% multiply(A,
% inverse(F)),
% inverse(
% inverse(F))),
% inverse(E)))))))
% -> A collapsed.
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% multiply(multiply(A,B),inverse(B)) <->
% multiply(multiply(A,inverse(C)),inverse(inverse(C)))
% Current number of equations to process: 98
% Current number of ordered equations: 1
% Current number of rules: 7
% Rule [8]
% multiply(multiply(A,B),inverse(B)) <->
% multiply(multiply(A,inverse(C)),inverse(inverse(C))) is composed into
% [8]
% multiply(multiply(A,B),inverse(B)) <-> multiply(multiply(A,a2),inverse(a2))
% New rule produced :
% [9]
% multiply(multiply(A,inverse(C)),inverse(inverse(C))) <->
% multiply(multiply(A,B),inverse(B))
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10]
% inverse(multiply(inverse(multiply(inverse(multiply(F,V_6)),multiply(V_6,F))),
% multiply(inverse(multiply(V_7,V_8)),multiply(V_7,inverse(multiply(E,
% inverse(V_8)))))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,inverse(D))),multiply(C,
% inverse(E))))),D)
% Current number of equations to process: 97
% Current number of ordered equations: 1
% Current number of rules: 9
% Rule [10]
% inverse(multiply(inverse(multiply(inverse(multiply(F,V_6)),multiply(V_6,F))),
% multiply(inverse(multiply(V_7,V_8)),multiply(V_7,inverse(
% multiply(E,
% inverse(V_8)))))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(C,
% inverse(D))),
% multiply(C,inverse(E))))),D) is composed into
% [10]
% inverse(multiply(inverse(multiply(inverse(multiply(F,V_6)),multiply(V_6,F))),
% multiply(inverse(multiply(V_7,V_8)),multiply(V_7,inverse(multiply(E,
% inverse(V_8)))))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(a2,a2)),multiply(a2,a2))),
% multiply(inverse(multiply(a2,a2)),multiply(a2,inverse(multiply(E,
% inverse(a2)))))))
% New rule produced :
% [11]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,inverse(D))),multiply(C,
% inverse(E))))),D)
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(F,V_6)),multiply(V_6,F))),
% multiply(inverse(multiply(V_7,V_8)),multiply(V_7,inverse(multiply(E,
% inverse(V_8)))))))
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [12]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(E,
% inverse(D)))))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(F,V_6)),multiply(V_6,F))),
% multiply(inverse(multiply(V_7,V_8)),multiply(V_7,inverse(multiply(E,
% inverse(V_8)))))))
% Rule
% [10]
% inverse(multiply(inverse(multiply(inverse(multiply(F,V_6)),multiply(V_6,F))),
% multiply(inverse(multiply(V_7,V_8)),multiply(V_7,inverse(multiply(E,
% inverse(V_8)))))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(a2,a2)),multiply(a2,a2))),
% multiply(inverse(multiply(a2,a2)),multiply(a2,inverse(multiply(E,
% inverse(a2)))))))
% collapsed.
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [13]
% multiply(multiply(A,B),inverse(B)) <-> multiply(multiply(A,C),inverse(C))
% Rule
% [8]
% multiply(multiply(A,B),inverse(B)) <-> multiply(multiply(A,a2),inverse(a2))
% collapsed.
% Rule
% [9]
% multiply(multiply(A,inverse(C)),inverse(inverse(C))) <->
% multiply(multiply(A,B),inverse(B)) collapsed.
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [14]
% multiply(multiply(multiply(A,D),inverse(D)),inverse(inverse(B))) <->
% multiply(multiply(multiply(A,B),C),inverse(C))
% Current number of equations to process: 180
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [15]
% multiply(multiply(multiply(A,B),C),inverse(C)) <->
% multiply(multiply(multiply(A,D),inverse(D)),inverse(inverse(B)))
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [16]
% inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(D,C))),
% multiply(inverse(multiply(E,F)),multiply(E,inverse(multiply(multiply(
% multiply(
% multiply(A,V_6),
% inverse(V_6)),
% inverse(
% inverse(B))),
% inverse(F)))))))
% -> multiply(A,B)
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [17]
% multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(
% inverse(
% multiply(A,B)),
% multiply(B,A))),
% multiply(inverse(multiply(C,D)),
% multiply(C,inverse(multiply(E,
% inverse(D))))))),F),V_6),V_7),
% inverse(V_7)) ->
% multiply(multiply(E,inverse(inverse(F))),inverse(inverse(V_6)))
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [18]
% multiply(multiply(multiply(multiply(multiply(A,E),inverse(E)),D),F),inverse(F))
% <->
% multiply(multiply(multiply(multiply(multiply(A,B),C),inverse(C)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(D)))
% Current number of equations to process: 347
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [19]
% multiply(multiply(multiply(multiply(multiply(A,B),C),inverse(C)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(D))) <->
% multiply(multiply(multiply(multiply(multiply(A,E),inverse(E)),D),F),inverse(F))
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [20]
% multiply(multiply(multiply(multiply(A,B),C),inverse(C)),inverse(inverse(
% inverse(B))))
% <->
% multiply(multiply(multiply(multiply(A,D),D),inverse(D)),inverse(inverse(
% inverse(D))))
% Current number of equations to process: 364
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced :
% [21]
% multiply(multiply(multiply(multiply(A,D),D),inverse(D)),inverse(inverse(
% inverse(D))))
% <->
% multiply(multiply(multiply(multiply(A,B),C),inverse(C)),inverse(inverse(
% inverse(B))))
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [22]
% multiply(multiply(multiply(multiply(multiply(A,B),a2),inverse(a2)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(inverse(inverse(C))))) <->
% multiply(multiply(multiply(multiply(multiply(A,C),D),E),inverse(E)),inverse(
% inverse(
% inverse(D))))
% Current number of equations to process: 373
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [23]
% multiply(multiply(multiply(multiply(multiply(A,C),D),E),inverse(E)),inverse(
% inverse(
% inverse(D))))
% <->
% multiply(multiply(multiply(multiply(multiply(A,B),a2),inverse(a2)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(inverse(inverse(C)))))
% Current number of equations to process: 373
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [24]
% multiply(multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(C))),
% inverse(inverse(D))) <->
% multiply(multiply(multiply(multiply(A,C),D),E),inverse(E))
% Current number of equations to process: 395
% Current number of ordered equations: 1
% Current number of rules: 20
% Rule [19]
% multiply(multiply(multiply(multiply(multiply(A,B),C),inverse(C)),
% inverse(inverse(inverse(B)))),inverse(inverse(D))) <->
% multiply(multiply(multiply(multiply(multiply(A,E),inverse(E)),D),F),
% inverse(F)) is composed into [19]
% multiply(multiply(multiply(multiply(
% multiply(A,B),C),
% inverse(C)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(D))) <->
% multiply(multiply(multiply(multiply(
% multiply(A,E),a2),
% inverse(a2)),inverse(
% inverse(
% inverse(E)))),
% inverse(inverse(D)))
% New rule produced :
% [25]
% multiply(multiply(multiply(multiply(A,C),D),E),inverse(E)) <->
% multiply(multiply(multiply(multiply(A,B),inverse(B)),inverse(inverse(C))),
% inverse(inverse(D)))
% Rule
% [18]
% multiply(multiply(multiply(multiply(multiply(A,E),inverse(E)),D),F),inverse(F))
% <->
% multiply(multiply(multiply(multiply(multiply(A,B),C),inverse(C)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(D))) collapsed.
% Current number of equations to process: 396
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [26]
% multiply(multiply(multiply(multiply(A,B),a2),inverse(a2)),inverse(inverse(
% inverse(B))))
% <->
% multiply(multiply(multiply(multiply(A,C),D),inverse(D)),inverse(inverse(
% inverse(C))))
% Current number of equations to process: 395
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [27]
% multiply(multiply(multiply(multiply(A,C),D),inverse(D)),inverse(inverse(
% inverse(C))))
% <->
% multiply(multiply(multiply(multiply(A,B),a2),inverse(a2)),inverse(inverse(
% inverse(B))))
% Rule
% [19]
% multiply(multiply(multiply(multiply(multiply(A,B),C),inverse(C)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(D))) <->
% multiply(multiply(multiply(multiply(multiply(A,E),a2),inverse(a2)),inverse(
% inverse(
% inverse(E)))),
% inverse(inverse(D))) collapsed.
% Current number of equations to process: 395
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [28]
% multiply(multiply(multiply(multiply(A,B),C),inverse(C)),inverse(inverse(
% inverse(B))))
% <->
% multiply(multiply(multiply(multiply(A,D),E),inverse(E)),inverse(inverse(
% inverse(D))))
% Rule
% [20]
% multiply(multiply(multiply(multiply(A,B),C),inverse(C)),inverse(inverse(
% inverse(B))))
% <->
% multiply(multiply(multiply(multiply(A,D),D),inverse(D)),inverse(inverse(
% inverse(D))))
% collapsed.
% Rule
% [21]
% multiply(multiply(multiply(multiply(A,D),D),inverse(D)),inverse(inverse(
% inverse(D))))
% <->
% multiply(multiply(multiply(multiply(A,B),C),inverse(C)),inverse(inverse(
% inverse(B))))
% collapsed.
% Rule
% [26]
% multiply(multiply(multiply(multiply(A,B),a2),inverse(a2)),inverse(inverse(
% inverse(B))))
% <->
% multiply(multiply(multiply(multiply(A,C),D),inverse(D)),inverse(inverse(
% inverse(C))))
% collapsed.
% Rule
% [27]
% multiply(multiply(multiply(multiply(A,C),D),inverse(D)),inverse(inverse(
% inverse(C))))
% <->
% multiply(multiply(multiply(multiply(A,B),a2),inverse(a2)),inverse(inverse(
% inverse(B))))
% collapsed.
% Current number of equations to process: 394
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [29]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(multiply(
% multiply(
% multiply(E,D),F),
% inverse(F)))))))
% -> E
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [30]
% multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(
% multiply(B,C)),
% multiply(C,B))),multiply(
% inverse(
% multiply(D,
% inverse(E))),
% multiply(D,
% inverse(A))))),F),
% inverse(F)),inverse(inverse(E))) -> A
% Current number of equations to process: 391
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [31]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(C,D)),
% multiply(C,
% inverse(multiply(
% multiply(E,F),
% inverse(F))))))),V_6),
% inverse(V_6)) -> multiply(E,D)
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [32]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(
% multiply(C,
% multiply(D,
% inverse(E))),E)),
% multiply(multiply(C,F),
% inverse(F))))),V_6),
% inverse(V_6)) -> D
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [33]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(D,E),
% inverse(E)),inverse(F))),F)),
% multiply(multiply(C,V_6),inverse(V_6))))) -> D
% Current number of equations to process: 403
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [34]
% multiply(multiply(A,V_7),inverse(V_7)) <->
% multiply(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),
% multiply(C,B))),multiply(inverse(
% multiply(D,E)),
% multiply(D,inverse(
% multiply(
% multiply(
% multiply(F,V_6),
% inverse(V_6)),
% inverse(E))))))),F)
% Current number of equations to process: 413
% Current number of ordered equations: 1
% Current number of rules: 24
% Rule [34]
% multiply(multiply(A,V_7),inverse(V_7)) <->
% multiply(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),
% multiply(C,B))),multiply(inverse(
% multiply(D,E)),
% multiply(D,
% inverse(multiply(
% multiply(
% multiply(F,V_6),
% inverse(V_6)),
% inverse(E))))))),F) is composed into
% [34]
% multiply(multiply(A,V_7),inverse(V_7)) <->
% multiply(multiply(A,a2),inverse(a2))
% New rule produced :
% [35]
% multiply(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),
% multiply(C,B))),multiply(inverse(
% multiply(D,E)),
% multiply(D,inverse(
% multiply(
% multiply(
% multiply(F,V_6),
% inverse(V_6)),
% inverse(E))))))),F)
% <-> multiply(multiply(A,V_7),inverse(V_7))
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [36]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(
% multiply(A,B),
% inverse(B))),
% multiply(inverse(C),multiply(A,C)))),
% multiply(inverse(multiply(D,E)),multiply(D,
% inverse(multiply(F,
% inverse(E))))))),V_6),
% inverse(V_6)) -> F
% Current number of equations to process: 410
% Current number of ordered equations: 2
% Current number of rules: 26
% New rule produced :
% [37]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(
% inverse(A),
% multiply(B,A))),
% multiply(multiply(B,C),inverse(C)))),
% multiply(inverse(multiply(D,E)),multiply(D,
% inverse(multiply(F,
% inverse(E))))))),V_6),
% inverse(V_6)) -> F
% Current number of equations to process: 410
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [38]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(
% multiply(C,D),
% inverse(D))),
% multiply(multiply(C,E),
% inverse(multiply(F,
% inverse(
% inverse(E)))))))),V_6),
% inverse(V_6)) -> F
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [39]
% inverse(multiply(inverse(multiply(inverse(multiply(multiply(A,B),inverse(B))),
% multiply(inverse(C),multiply(A,C)))),multiply(
% inverse(
% multiply(D,E)),
% multiply(D,
% inverse(
% multiply(
% multiply(
% multiply(F,V_6),
% inverse(V_6)),
% inverse(E)))))))
% -> F
% Current number of equations to process: 407
% Current number of ordered equations: 2
% Current number of rules: 29
% New rule produced :
% [40]
% inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,A))),
% multiply(multiply(B,C),inverse(C)))),multiply(
% inverse(
% multiply(D,E)),
% multiply(D,
% inverse(
% multiply(
% multiply(
% multiply(F,V_6),
% inverse(V_6)),
% inverse(E)))))))
% -> F
% Current number of equations to process: 407
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [41]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(D))),multiply(
% multiply(C,E),
% inverse(
% multiply(
% multiply(
% multiply(F,V_6),
% inverse(V_6)),
% inverse(
% inverse(E))))))))
% -> F
% Current number of equations to process: 407
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [42]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(A,B),
% inverse(B))),multiply(
% inverse(C),
% multiply(A,C)))),
% multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(
% multiply(F,
% inverse(V_6)),
% inverse(E))))))),V_6)
% -> F
% Current number of equations to process: 404
% Current number of ordered equations: 2
% Current number of rules: 32
% New rule produced :
% [43]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),
% multiply(B,A))),multiply(
% multiply(B,C),
% inverse(C)))),
% multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(
% multiply(F,
% inverse(V_6)),
% inverse(E))))))),V_6)
% -> F
% Current number of equations to process: 404
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [44]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(D))),
% multiply(multiply(C,E),inverse(multiply(multiply(F,inverse(V_6)),
% inverse(inverse(E)))))))),V_6)
% -> F
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [45]
% multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(
% multiply(A,B)),
% multiply(B,A))),multiply(
% inverse(
% multiply(C,D)),
% multiply(C,
% inverse(
% multiply(
% multiply(E,F),
% inverse(F))))))),V_6),V_7),
% inverse(V_7)) -> multiply(multiply(E,D),inverse(inverse(V_6)))
% Current number of equations to process: 403
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [46]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,inverse(inverse(D)))),multiply(C,
% inverse(multiply(
% multiply(
% multiply(
% multiply(E,F),a2),
% inverse(a2)),
% inverse(
% inverse(
% inverse(F)))))))))
% <-> multiply(E,D)
% Current number of equations to process: 468
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [47]
% multiply(E,D) <->
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,inverse(inverse(D)))),multiply(C,
% inverse(multiply(
% multiply(
% multiply(
% multiply(E,F),a2),
% inverse(a2)),
% inverse(
% inverse(
% inverse(F)))))))))
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [48]
% multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),
% multiply(inverse(multiply(D,E)),multiply(D,inverse(multiply(F,
% inverse(E)))))))
% <->
% multiply(A,multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(F,
% inverse(V_9)))))))
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [49]
% multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(
% multiply(A,B)),
% multiply(B,A))),multiply(
% inverse(
% multiply(
% multiply(C,
% multiply(D,
% inverse(E))),E)),
% multiply(
% multiply(C,F),
% inverse(F))))),V_6),V_7),
% inverse(V_7)) -> multiply(D,inverse(inverse(V_6)))
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [50]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(C,D)),
% multiply(C,
% inverse(multiply(
% multiply(
% multiply(E,F),
% inverse(F)),
% inverse(
% inverse(V_6)))))))),V_7),
% inverse(V_7)) -> multiply(multiply(E,V_6),D)
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [51]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),
% multiply(V_7,V_6))),multiply(inverse(
% multiply(V_8,V_9)),
% multiply(V_8,inverse(
% multiply(E,
% inverse(V_9))))))),D)
% <->
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(C,D)),
% multiply(C,
% inverse(E))))),F),
% inverse(F))
% Current number of equations to process: 476
% Current number of ordered equations: 1
% Current number of rules: 41
% Rule [51]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),
% multiply(V_7,V_6))),multiply(inverse(
% multiply(V_8,V_9)),
% multiply(V_8,
% inverse(multiply(E,
% inverse(V_9))))))),D)
% <->
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(
% inverse(
% multiply(C,D)),
% multiply(C,
% inverse(E))))),F),
% inverse(F)) is composed into [51]
% multiply(inverse(multiply(inverse(multiply(
% inverse(
% multiply(V_6,V_7)),
% multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),
% multiply(V_8,inverse(
% multiply(E,
% inverse(V_9))))))),D)
% <->
% multiply(inverse(multiply(inverse(multiply(
% inverse(
% multiply(a2,a2)),
% multiply(a2,a2))),
% multiply(inverse(multiply(a2,a2)),
% multiply(a2,inverse(
% multiply(E,
% inverse(a2))))))),D)
% New rule produced :
% [52]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(C,D)),
% multiply(C,
% inverse(E))))),F),
% inverse(F)) <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),
% multiply(V_7,V_6))),multiply(inverse(
% multiply(V_8,V_9)),
% multiply(V_8,inverse(
% multiply(E,
% inverse(V_9))))))),D)
% Rule
% [4]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(C,D)),
% multiply(C,
% inverse(multiply(E,
% inverse(D))))))),F),
% inverse(F)) -> E collapsed.
% Rule
% [30]
% multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(
% multiply(B,C)),
% multiply(C,B))),multiply(
% inverse(
% multiply(D,
% inverse(E))),
% multiply(D,
% inverse(A))))),F),
% inverse(F)),inverse(inverse(E))) -> A collapsed.
% Rule
% [31]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(C,D)),
% multiply(C,
% inverse(multiply(
% multiply(E,F),
% inverse(F))))))),V_6),
% inverse(V_6)) -> multiply(E,D) collapsed.
% Rule
% [50]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(C,D)),
% multiply(C,
% inverse(multiply(
% multiply(
% multiply(E,F),
% inverse(F)),
% inverse(
% inverse(V_6)))))))),V_7),
% inverse(V_7)) -> multiply(multiply(E,V_6),D) collapsed.
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [53]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,F),
% inverse(F)))))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(
% multiply(E,D),
% inverse(V_9)))))))
% Current number of equations to process: 474
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [54]
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(
% multiply(E,D),
% inverse(V_9)))))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,F),
% inverse(F)))))))
% Rule
% [16]
% inverse(multiply(inverse(multiply(inverse(multiply(C,D)),multiply(D,C))),
% multiply(inverse(multiply(E,F)),multiply(E,inverse(multiply(multiply(
% multiply(
% multiply(A,V_6),
% inverse(V_6)),
% inverse(
% inverse(B))),
% inverse(F)))))))
% -> multiply(A,B) collapsed.
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [55]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(
% multiply(D,E),
% inverse(E)),
% inverse(inverse(F))),
% inverse(V_6))),V_6)),multiply(
% multiply(C,V_7),
% inverse(V_7)))))
% -> multiply(D,F)
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [56]
% multiply(multiply(multiply(multiply(multiply(A,B),B),inverse(B)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(inverse(inverse(C))))) <->
% multiply(multiply(multiply(multiply(multiply(A,C),D),E),inverse(E)),inverse(
% inverse(
% inverse(D))))
% Current number of equations to process: 531
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [57]
% multiply(multiply(multiply(multiply(multiply(A,C),D),E),inverse(E)),inverse(
% inverse(
% inverse(D))))
% <->
% multiply(multiply(multiply(multiply(multiply(A,B),B),inverse(B)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(inverse(inverse(C)))))
% Current number of equations to process: 531
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [58]
% multiply(multiply(multiply(multiply(multiply(A,B),C),inverse(C)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(inverse(inverse(D))))) <->
% multiply(multiply(multiply(multiply(multiply(A,D),E),F),inverse(F)),inverse(
% inverse(
% inverse(E))))
% Rule
% [22]
% multiply(multiply(multiply(multiply(multiply(A,B),a2),inverse(a2)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(inverse(inverse(C))))) <->
% multiply(multiply(multiply(multiply(multiply(A,C),D),E),inverse(E)),inverse(
% inverse(
% inverse(D))))
% collapsed.
% Rule
% [56]
% multiply(multiply(multiply(multiply(multiply(A,B),B),inverse(B)),inverse(
% inverse(
% inverse(B)))),
% inverse(inverse(inverse(inverse(C))))) <->
% multiply(multiply(multiply(multiply(multiply(A,C),D),E),inverse(E)),inverse(
% inverse(
% inverse(D))))
% collapsed.
% Current number of equations to process: 557
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [59]
% multiply(multiply(multiply(multiply(multiply(A,C),D),E),F),inverse(F)) <->
% multiply(multiply(multiply(multiply(multiply(A,B),inverse(B)),inverse(
% inverse(C))),
% inverse(inverse(D))),inverse(inverse(E)))
% Current number of equations to process: 618
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [60]
% multiply(multiply(multiply(multiply(multiply(A,B),inverse(B)),inverse(
% inverse(C))),
% inverse(inverse(D))),inverse(inverse(E))) <->
% multiply(multiply(multiply(multiply(multiply(A,C),D),E),F),inverse(F))
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [61]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),inverse(B)),
% inverse(inverse(C))),inverse(inverse(D))),
% inverse(inverse(E))),inverse(inverse(F))) <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),E),F),V_6),
% inverse(V_6))
% Current number of equations to process: 666
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [62]
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),E),F),V_6),
% inverse(V_6)) <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),inverse(B)),
% inverse(inverse(C))),inverse(inverse(D))),
% inverse(inverse(E))),inverse(inverse(F)))
% Current number of equations to process: 666
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [63]
% multiply(multiply(multiply(multiply(multiply(multiply(A,E),a2),a2),inverse(a2)),
% inverse(inverse(inverse(a2)))),inverse(inverse(inverse(inverse(
% inverse(E))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),D),inverse(D)),
% inverse(inverse(inverse(C)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% Current number of equations to process: 704
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [64]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),D),inverse(D)),
% inverse(inverse(inverse(C)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,E),a2),a2),inverse(a2)),
% inverse(inverse(inverse(a2)))),inverse(inverse(inverse(inverse(
% inverse(E))))))
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [65]
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),a2),inverse(a2)),
% inverse(inverse(inverse(D)))),inverse(inverse(inverse(inverse(
% inverse(C))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),B),B),inverse(B)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% Current number of equations to process: 703
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [66]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),B),B),inverse(B)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),a2),inverse(a2)),
% inverse(inverse(inverse(D)))),inverse(inverse(inverse(inverse(
% inverse(C))))))
% Current number of equations to process: 703
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [67]
% multiply(multiply(multiply(multiply(multiply(multiply(A,D),E),a2),inverse(a2)),
% inverse(inverse(inverse(E)))),inverse(inverse(inverse(inverse(
% inverse(D))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),a2),inverse(a2)),
% inverse(inverse(inverse(C)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% Current number of equations to process: 702
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [68]
% multiply(multiply(multiply(multiply(multiply(multiply(A,D),E),F),inverse(F)),
% inverse(inverse(inverse(E)))),inverse(inverse(inverse(inverse(
% inverse(D))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),a2),inverse(a2)),
% inverse(inverse(inverse(C)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% Rule
% [64]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),D),inverse(D)),
% inverse(inverse(inverse(C)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,E),a2),a2),inverse(a2)),
% inverse(inverse(inverse(a2)))),inverse(inverse(inverse(inverse(
% inverse(E))))))
% collapsed.
% Rule
% [66]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),B),B),inverse(B)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),a2),inverse(a2)),
% inverse(inverse(inverse(D)))),inverse(inverse(inverse(inverse(
% inverse(C))))))
% collapsed.
% Rule
% [67]
% multiply(multiply(multiply(multiply(multiply(multiply(A,D),E),a2),inverse(a2)),
% inverse(inverse(inverse(E)))),inverse(inverse(inverse(inverse(
% inverse(D))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),a2),inverse(a2)),
% inverse(inverse(inverse(C)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% collapsed.
% Current number of equations to process: 699
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [69]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),a2),inverse(a2)),
% inverse(inverse(inverse(C)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,D),E),F),inverse(F)),
% inverse(inverse(inverse(E)))),inverse(inverse(inverse(inverse(
% inverse(D))))))
% Rule
% [63]
% multiply(multiply(multiply(multiply(multiply(multiply(A,E),a2),a2),inverse(a2)),
% inverse(inverse(inverse(a2)))),inverse(inverse(inverse(inverse(
% inverse(E))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),D),inverse(D)),
% inverse(inverse(inverse(C)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% collapsed.
% Rule
% [65]
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),a2),inverse(a2)),
% inverse(inverse(inverse(D)))),inverse(inverse(inverse(inverse(
% inverse(C))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),B),B),inverse(B)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% collapsed.
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [70]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),a2),inverse(a2)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(
% inverse(C))))),
% inverse(inverse(inverse(inverse(D))))) <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),E),F),inverse(F)),
% inverse(inverse(inverse(E))))
% Current number of equations to process: 698
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [71]
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),E),F),inverse(F)),
% inverse(inverse(inverse(E)))) <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),a2),inverse(a2)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(
% inverse(C))))),
% inverse(inverse(inverse(inverse(D)))))
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [72]
% multiply(multiply(multiply(multiply(multiply(multiply(A,D),E),F),V_6),
% inverse(V_6)),inverse(inverse(inverse(F)))) <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),inverse(C)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(
% inverse(D))))),
% inverse(inverse(inverse(inverse(E)))))
% Rule
% [71]
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),E),F),inverse(F)),
% inverse(inverse(inverse(E)))) <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),a2),inverse(a2)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(
% inverse(C))))),
% inverse(inverse(inverse(inverse(D))))) collapsed.
% Current number of equations to process: 690
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [73]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),inverse(C)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(
% inverse(D))))),
% inverse(inverse(inverse(inverse(E))))) <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,D),E),F),V_6),
% inverse(V_6)),inverse(inverse(inverse(F))))
% Rule
% [70]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),a2),inverse(a2)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(
% inverse(C))))),
% inverse(inverse(inverse(inverse(D))))) <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),E),F),inverse(F)),
% inverse(inverse(inverse(E)))) collapsed.
% Current number of equations to process: 690
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [74]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(E)))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(F,V_6)),multiply(V_6,F))),
% multiply(inverse(multiply(V_7,inverse(D))),multiply(V_7,inverse(E)))))
% Current number of equations to process: 735
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [75]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(D))),multiply(
% multiply(C,E),
% inverse(
% multiply(
% multiply(
% multiply(F,E),V_6),
% inverse(V_6)))))))
% -> F
% Current number of equations to process: 761
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [76]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(D,E),F),
% inverse(F))),inverse(E))),
% multiply(multiply(C,V_6),inverse(V_6))))) -> D
% Current number of equations to process: 761
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [77]
% multiply(multiply(A,V_7),inverse(V_7)) <->
% multiply(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),
% multiply(C,B))),multiply(inverse(
% multiply(D,
% inverse(E))),
% multiply(D,inverse(
% multiply(
% multiply(
% multiply(F,E),V_6),
% inverse(V_6))))))),F)
% Current number of equations to process: 760
% Current number of ordered equations: 1
% Current number of rules: 53
% Rule [77]
% multiply(multiply(A,V_7),inverse(V_7)) <->
% multiply(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),
% multiply(C,B))),multiply(inverse(
% multiply(D,
% inverse(E))),
% multiply(D,
% inverse(multiply(
% multiply(
% multiply(F,E),V_6),
% inverse(V_6))))))),F) is composed into
% [77]
% multiply(multiply(A,V_7),inverse(V_7)) <->
% multiply(multiply(A,a2),inverse(a2))
% New rule produced :
% [78]
% multiply(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),
% multiply(C,B))),multiply(inverse(
% multiply(D,
% inverse(E))),
% multiply(D,inverse(
% multiply(
% multiply(
% multiply(F,E),V_6),
% inverse(V_6))))))),F)
% <-> multiply(multiply(A,V_7),inverse(V_7))
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [79]
% inverse(multiply(inverse(multiply(inverse(multiply(multiply(A,B),inverse(B))),
% multiply(inverse(C),multiply(A,C)))),multiply(
% inverse(
% multiply(D,
% inverse(E))),
% multiply(D,
% inverse(
% multiply(
% multiply(
% multiply(F,E),V_6),
% inverse(V_6)))))))
% -> F
% Current number of equations to process: 758
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [80]
% inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,A))),
% multiply(multiply(B,C),inverse(C)))),multiply(
% inverse(
% multiply(D,
% inverse(E))),
% multiply(D,
% inverse(
% multiply(
% multiply(
% multiply(F,E),V_6),
% inverse(V_6)))))))
% -> F
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [81]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,inverse(inverse(D)))),multiply(C,
% inverse(multiply(
% multiply(
% multiply(
% multiply(E,F),V_6),
% inverse(V_6)),
% inverse(
% inverse(
% inverse(F)))))))))
% <-> multiply(E,D)
% Rule
% [46]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,inverse(inverse(D)))),multiply(C,
% inverse(multiply(
% multiply(
% multiply(
% multiply(E,F),a2),
% inverse(a2)),
% inverse(
% inverse(
% inverse(F)))))))))
% <-> multiply(E,D) collapsed.
% Current number of equations to process: 757
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [82]
% multiply(E,D) <->
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,inverse(inverse(D)))),multiply(C,
% inverse(multiply(
% multiply(
% multiply(
% multiply(E,F),V_6),
% inverse(V_6)),
% inverse(
% inverse(
% inverse(F)))))))))
% Rule
% [47]
% multiply(E,D) <->
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,inverse(inverse(D)))),multiply(C,
% inverse(multiply(
% multiply(
% multiply(
% multiply(E,F),a2),
% inverse(a2)),
% inverse(
% inverse(
% inverse(F)))))))))
% collapsed.
% Current number of equations to process: 757
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [83]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(
% multiply(C,
% multiply(
% multiply(D,E),
% inverse(E))),F)),
% multiply(multiply(C,V_6),
% inverse(V_6))))),V_7),
% inverse(V_7)) -> multiply(D,F)
% Current number of equations to process: 847
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [84]
% multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(
% inverse(
% multiply(C,D)),
% multiply(D,C))),
% multiply(inverse(multiply(E,
% inverse(B))),
% multiply(E,inverse(A))))),F),V_6),
% inverse(V_6)),inverse(inverse(inverse(F)))) ->
% multiply(A,inverse(inverse(inverse(B))))
% Current number of equations to process: 923
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [85]
% multiply(A,multiply(inverse(multiply(inverse(multiply(C,D)),multiply(D,C))),
% multiply(inverse(multiply(E,F)),multiply(E,inverse(multiply(
% multiply(
% multiply(
% inverse(B),V_6),
% inverse(V_6)),
% inverse(F)))))))
% -> multiply(A,B)
% Current number of equations to process: 967
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [86]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(multiply(A,B),
% inverse(B))),multiply(
% inverse(C),
% multiply(A,C)))),
% multiply(inverse(multiply(D,inverse(E))),multiply(D,
% inverse(multiply(
% multiply(F,V_6),
% inverse(V_6))))))),E)
% -> F
% Current number of equations to process: 1932
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [87]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),
% multiply(B,A))),multiply(
% multiply(B,C),
% inverse(C)))),
% multiply(inverse(multiply(D,inverse(E))),multiply(D,
% inverse(multiply(
% multiply(F,V_6),
% inverse(V_6))))))),E)
% -> F
% Current number of equations to process: 2099
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [88]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(D))),
% multiply(multiply(C,E),inverse(multiply(multiply(F,V_6),
% inverse(V_6))))))),E) -> F
% Current number of equations to process: 2271
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [89]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(
% multiply(C,D),
% inverse(D))),
% multiply(multiply(C,E),
% inverse(multiply(
% multiply(F,V_6),
% inverse(V_6))))))),V_7),
% inverse(V_7)) -> multiply(F,inverse(E))
% Current number of equations to process: 2393
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [90]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(
% multiply(A,B),
% inverse(B))),
% multiply(inverse(C),multiply(A,C)))),
% multiply(inverse(multiply(D,E)),multiply(D,
% inverse(multiply(
% multiply(F,V_6),
% inverse(V_6))))))),V_7),
% inverse(V_7)) -> multiply(F,E)
% Current number of equations to process: 2593
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [91]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(
% inverse(A),
% multiply(B,A))),
% multiply(multiply(B,C),inverse(C)))),
% multiply(inverse(multiply(D,E)),multiply(D,
% inverse(multiply(
% multiply(F,V_6),
% inverse(V_6))))))),V_7),
% inverse(V_7)) -> multiply(F,E)
% Current number of equations to process: 2591
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [92]
% multiply(multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),
% multiply(C,B))),multiply(inverse(
% multiply(
% multiply(D,
% multiply(
% multiply(
% multiply(E,F),
% inverse(F)),
% inverse(V_6))),V_6)),
% multiply(multiply(D,V_7),
% inverse(V_7))))),E) <->
% multiply(multiply(A,V_8),inverse(V_8))
% Current number of equations to process: 3005
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [93]
% multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(
% inverse(
% multiply(C,D)),
% multiply(D,C))),
% multiply(inverse(multiply(E,B)),
% multiply(E,inverse(A))))),F),V_6),
% inverse(V_6)),inverse(inverse(inverse(F)))) ->
% multiply(A,inverse(inverse(B)))
% Rule
% [84]
% multiply(multiply(multiply(multiply(inverse(multiply(inverse(multiply(
% inverse(
% multiply(C,D)),
% multiply(D,C))),
% multiply(inverse(multiply(E,
% inverse(B))),
% multiply(E,inverse(A))))),F),V_6),
% inverse(V_6)),inverse(inverse(inverse(F)))) ->
% multiply(A,inverse(inverse(inverse(B)))) collapsed.
% Current number of equations to process: 3305
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [94]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,D)),multiply(C,inverse(E))))) <->
% inverse(multiply(inverse(multiply(inverse(multiply(F,V_6)),multiply(V_6,F))),
% multiply(inverse(multiply(V_7,D)),multiply(V_7,inverse(E)))))
% Rule
% [74]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,inverse(D))),multiply(C,inverse(E)))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(F,V_6)),multiply(V_6,F))),
% multiply(inverse(multiply(V_7,inverse(D))),multiply(V_7,inverse(E)))))
% collapsed.
% Current number of equations to process: 3774
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [95]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(C,D)),multiply(C,inverse(multiply(multiply(E,F),
% inverse(F)))))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,D)),multiply(V_8,inverse(multiply(
% multiply(E,V_9),
% inverse(V_9)))))))
% Current number of equations to process: 3909
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [96]
% multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(
% multiply(
% multiply(A,B),
% inverse(B))),
% multiply(inverse(C),
% multiply(A,C)))),
% multiply(inverse(multiply(D,E)),multiply(D,
% inverse(
% multiply(F,
% inverse(E))))))),V_6),V_7),
% inverse(V_7)) -> multiply(F,inverse(inverse(V_6)))
% Current number of equations to process: 3905
% Current number of ordered equations: 2
% Current number of rules: 68
% New rule produced :
% [97]
% multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(
% multiply(
% inverse(A),
% multiply(B,A))),
% multiply(multiply(B,C),
% inverse(C)))),multiply(
% inverse(
% multiply(D,E)),
% multiply(D,
% inverse(
% multiply(F,
% inverse(E))))))),V_6),V_7),
% inverse(V_7)) -> multiply(F,inverse(inverse(V_6)))
% Current number of equations to process: 3905
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [98]
% multiply(multiply(multiply(inverse(multiply(inverse(multiply(inverse(
% multiply(A,B)),
% multiply(B,A))),multiply(
% inverse(
% multiply(
% multiply(C,D),
% inverse(D))),
% multiply(
% multiply(C,E),
% inverse(
% multiply(F,
% inverse(
% inverse(E)))))))),V_6),V_7),
% inverse(V_7)) -> multiply(F,inverse(inverse(V_6)))
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [99]
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(F,
% inverse(V_9)))))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(D))),
% multiply(multiply(C,E),inverse(F))))),E)
% Current number of equations to process: 3903
% Current number of ordered equations: 3
% Current number of rules: 71
% New rule produced :
% [100]
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(D,
% inverse(V_9)))))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(E))),
% multiply(multiply(C,F),inverse(F))))),E)
% Current number of equations to process: 3903
% Current number of ordered equations: 2
% Current number of rules: 72
% Rule [99]
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(
% multiply(F,
% inverse(V_9)))))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(
% multiply(C,D),
% inverse(D))),
% multiply(multiply(C,E),
% inverse(F))))),E) is composed into
% [99]
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(F,
% inverse(V_9)))))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(a2,a2)),multiply(a2,a2))),
% multiply(inverse(multiply(a2,a2)),multiply(a2,inverse(multiply(F,
% inverse(a2)))))))
% New rule produced :
% [101]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(D))),
% multiply(multiply(C,E),inverse(F))))),E) <->
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(F,
% inverse(V_9)))))))
% Rule
% [88]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(D))),
% multiply(multiply(C,E),inverse(multiply(multiply(F,V_6),
% inverse(V_6))))))),E) -> F
% collapsed.
% Current number of equations to process: 3903
% Current number of ordered equations: 1
% Current number of rules: 72
% Rule [100]
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(
% multiply(D,
% inverse(V_9)))))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(
% multiply(C,D),
% inverse(E))),
% multiply(multiply(C,F),
% inverse(F))))),E) is composed into
% [100]
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(D,
% inverse(V_9)))))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(a2,a2)),multiply(a2,a2))),
% multiply(inverse(multiply(a2,a2)),multiply(a2,inverse(multiply(D,
% inverse(a2)))))))
% New rule produced :
% [102]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(E))),
% multiply(multiply(C,F),inverse(F))))),E) <->
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(D,
% inverse(V_9)))))))
% Current number of equations to process: 3903
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [103]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,multiply(D,inverse(E))),E)),
% multiply(multiply(C,F),inverse(F))))) <->
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,V_9)),multiply(V_8,inverse(multiply(D,
% inverse(V_9)))))))
% Rule
% [33]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(D,E),
% inverse(E)),inverse(F))),F)),
% multiply(multiply(C,V_6),inverse(V_6))))) -> D collapsed.
% Rule
% [55]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(
% multiply(D,E),
% inverse(E)),
% inverse(inverse(F))),
% inverse(V_6))),V_6)),multiply(
% multiply(C,V_7),
% inverse(V_7)))))
% -> multiply(D,F) collapsed.
% Current number of equations to process: 3902
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [104]
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),D),inverse(D)),
% inverse(inverse(inverse(D)))),inverse(inverse(inverse(inverse(
% inverse(C))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),B),B),inverse(B)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% Current number of equations to process: 4286
% Current number of ordered equations: 2
% Current number of rules: 73
% New rule produced :
% [105]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),B),B),inverse(B)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),D),inverse(D)),
% inverse(inverse(inverse(D)))),inverse(inverse(inverse(inverse(
% inverse(C))))))
% Current number of equations to process: 4286
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [106]
% multiply(multiply(multiply(multiply(multiply(multiply(A,E),F),V_6),inverse(V_6)),
% inverse(inverse(inverse(F)))),inverse(inverse(inverse(inverse(
% inverse(E))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),D),inverse(D)),
% inverse(inverse(inverse(C)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% Rule
% [68]
% multiply(multiply(multiply(multiply(multiply(multiply(A,D),E),F),inverse(F)),
% inverse(inverse(inverse(E)))),inverse(inverse(inverse(inverse(
% inverse(D))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),a2),inverse(a2)),
% inverse(inverse(inverse(C)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% collapsed.
% Rule
% [69]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),C),a2),inverse(a2)),
% inverse(inverse(inverse(C)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,D),E),F),inverse(F)),
% inverse(inverse(inverse(E)))),inverse(inverse(inverse(inverse(
% inverse(D))))))
% collapsed.
% Rule
% [104]
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),D),inverse(D)),
% inverse(inverse(inverse(D)))),inverse(inverse(inverse(inverse(
% inverse(C))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),B),B),inverse(B)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% collapsed.
% Rule
% [105]
% multiply(multiply(multiply(multiply(multiply(multiply(A,B),B),B),inverse(B)),
% inverse(inverse(inverse(B)))),inverse(inverse(inverse(inverse(
% inverse(B))))))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),D),inverse(D)),
% inverse(inverse(inverse(D)))),inverse(inverse(inverse(inverse(
% inverse(C))))))
% collapsed.
% Current number of equations to process: 4285
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [107]
% multiply(multiply(multiply(multiply(multiply(multiply(multiply(A,B),inverse(B)),
% inverse(inverse(C))),inverse(inverse(D))),
% inverse(inverse(E))),inverse(inverse(F))),inverse(inverse(V_6)))
% <->
% multiply(multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),E),F),V_6),V_7),
% inverse(V_7))
% Current number of equations to process: 4284
% Current number of ordered equations: 2
% Current number of rules: 72
% New rule produced :
% [108]
% multiply(multiply(multiply(multiply(multiply(multiply(multiply(A,C),D),E),F),V_6),V_7),
% inverse(V_7)) <->
% multiply(multiply(multiply(multiply(multiply(multiply(multiply(A,B),inverse(B)),
% inverse(inverse(C))),inverse(inverse(D))),
% inverse(inverse(E))),inverse(inverse(F))),inverse(inverse(V_6)))
% Current number of equations to process: 4284
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [109]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(D))),multiply(
% multiply(C,E),
% inverse(F)))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,inverse(E))),multiply(V_8,inverse(F)))))
% Current number of equations to process: 4939
% Current number of ordered equations: 2
% Current number of rules: 74
% New rule produced :
% [110]
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,inverse(E))),multiply(V_8,inverse(F)))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(D))),multiply(
% multiply(C,E),
% inverse(F)))))
% Current number of equations to process: 4939
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [111]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,D),inverse(E))),multiply(
% multiply(C,F),
% inverse(F)))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,inverse(E))),multiply(V_8,inverse(D)))))
% Rule
% [76]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(B,A))),
% multiply(inverse(multiply(multiply(C,multiply(multiply(multiply(D,E),F),
% inverse(F))),inverse(E))),
% multiply(multiply(C,V_6),inverse(V_6))))) -> D collapsed.
% Current number of equations to process: 2210
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [112]
% multiply(A,multiply(inverse(multiply(inverse(multiply(C,D)),multiply(D,C))),
% multiply(inverse(multiply(E,inverse(F))),multiply(E,inverse(
% multiply(
% multiply(
% multiply(
% inverse(B),F),V_6),
% inverse(V_6)))))))
% -> multiply(A,B)
% Current number of equations to process: 2396
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [113]
% multiply(B,inverse(multiply(multiply(B,C),inverse(C)))) <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(a2,a2)),multiply(a2,a2))),
% multiply(inverse(multiply(a2,a2)),multiply(a2,inverse(
% multiply(
% inverse(A),
% inverse(a2))))))),
% inverse(inverse(A)))
% Current number of equations to process: 3373
% Current number of ordered equations: 2
% Current number of rules: 77
% Rule [113]
% multiply(B,inverse(multiply(multiply(B,C),inverse(C)))) <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(a2,a2)),
% multiply(a2,a2))),multiply(inverse(
% multiply(a2,a2)),
% multiply(a2,
% inverse(multiply(
% inverse(A),
% inverse(a2))))))),
% inverse(inverse(A))) is composed into [113]
% multiply(B,inverse(multiply(
% multiply(B,C),
% inverse(C))))
% <->
% multiply(a2,inverse(multiply(
% multiply(a2,a2),
% inverse(a2))))
% New rule produced :
% [114]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(a2,a2)),multiply(a2,a2))),
% multiply(inverse(multiply(a2,a2)),multiply(a2,inverse(
% multiply(
% inverse(A),
% inverse(a2))))))),
% inverse(inverse(A))) <->
% multiply(B,inverse(multiply(multiply(B,C),inverse(C))))
% Current number of equations to process: 3373
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [115]
% multiply(F,inverse(multiply(multiply(F,V_6),inverse(V_6)))) <->
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(
% multiply(C,D),
% inverse(D))),
% multiply(multiply(C,a2),
% inverse(a2))))),E),
% inverse(E))
% Current number of equations to process: 3382
% Current number of ordered equations: 2
% Current number of rules: 79
% Rule [115]
% multiply(F,inverse(multiply(multiply(F,V_6),inverse(V_6)))) <->
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(
% inverse(
% multiply(
% multiply(C,D),
% inverse(D))),
% multiply(
% multiply(C,a2),
% inverse(a2))))),E),
% inverse(E)) is composed into [115]
% multiply(F,inverse(multiply(multiply(F,V_6),
% inverse(V_6)))) <->
% multiply(a2,inverse(multiply(multiply(a2,a2),
% inverse(a2))))
% New rule produced :
% [116]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(
% multiply(C,D),
% inverse(D))),
% multiply(multiply(C,a2),
% inverse(a2))))),E),
% inverse(E)) <-> multiply(F,inverse(multiply(multiply(F,V_6),inverse(V_6))))
% Current number of equations to process: 3382
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [117]
% multiply(V_6,inverse(multiply(multiply(V_6,V_7),inverse(V_7)))) <->
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(
% multiply(C,D),
% inverse(D))),
% multiply(multiply(C,E),
% inverse(E))))),F),
% inverse(F))
% Current number of equations to process: 3470
% Current number of ordered equations: 2
% Current number of rules: 81
% Rule [117]
% multiply(V_6,inverse(multiply(multiply(V_6,V_7),inverse(V_7)))) <->
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(
% inverse(
% multiply(
% multiply(C,D),
% inverse(D))),
% multiply(
% multiply(C,E),
% inverse(E))))),F),
% inverse(F)) is composed into [117]
% multiply(V_6,inverse(multiply(multiply(V_6,V_7),
% inverse(V_7)))) <->
% multiply(a2,inverse(multiply(multiply(a2,a2),
% inverse(a2))))
% New rule produced :
% [118]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(
% multiply(C,D),
% inverse(D))),
% multiply(multiply(C,E),
% inverse(E))))),F),
% inverse(F)) <->
% multiply(V_6,inverse(multiply(multiply(V_6,V_7),inverse(V_7))))
% Rule
% [116]
% multiply(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(B,A))),multiply(inverse(
% multiply(
% multiply(C,D),
% inverse(D))),
% multiply(multiply(C,a2),
% inverse(a2))))),E),
% inverse(E)) <-> multiply(F,inverse(multiply(multiply(F,V_6),inverse(V_6))))
% collapsed.
% Current number of equations to process: 3471
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [119]
% multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),
% multiply(inverse(multiply(multiply(D,multiply(multiply(multiply(
% inverse(E),F),
% inverse(F)),
% inverse(V_6))),V_6)),
% multiply(multiply(D,V_7),inverse(V_7))))) -> multiply(A,E)
% Current number of equations to process: 3944
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [120]
% inverse(multiply(inverse(multiply(inverse(multiply(multiply(A,B),inverse(B))),
% multiply(inverse(C),multiply(A,C)))),multiply(
% inverse(
% multiply(D,
% inverse(E))),
% multiply(D,
% inverse(F)))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,inverse(E))),multiply(V_8,inverse(F)))))
% Current number of equations to process: 4556
% Current number of ordered equations: 2
% Current number of rules: 83
% New rule produced :
% [121]
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,inverse(E))),multiply(V_8,inverse(F)))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(multiply(A,B),inverse(B))),
% multiply(inverse(C),multiply(A,C)))),multiply(
% inverse(
% multiply(D,
% inverse(E))),
% multiply(D,
% inverse(F)))))
% Current number of equations to process: 4556
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [122]
% inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,A))),
% multiply(multiply(B,C),inverse(C)))),multiply(
% inverse(
% multiply(D,
% inverse(E))),
% multiply(D,
% inverse(F)))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,inverse(E))),multiply(V_8,inverse(F)))))
% Current number of equations to process: 4555
% Current number of ordered equations: 2
% Current number of rules: 85
% New rule produced :
% [123]
% inverse(multiply(inverse(multiply(inverse(multiply(V_6,V_7)),multiply(V_7,V_6))),
% multiply(inverse(multiply(V_8,inverse(E))),multiply(V_8,inverse(F)))))
% <->
% inverse(multiply(inverse(multiply(inverse(multiply(inverse(A),multiply(B,A))),
% multiply(multiply(B,C),inverse(C)))),multiply(
% inverse(
% multiply(D,
% inverse(E))),
% multiply(D,
% inverse(F)))))
% Current number of equations to process: 4555
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [124]
% multiply(A,multiply(inverse(multiply(inverse(multiply(multiply(B,C),inverse(C))),
% multiply(inverse(D),multiply(B,D)))),multiply(
% inverse(
% multiply(E,F)),
% multiply(E,
% inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_6),V_7),
% inverse(V_7)),
% inverse(F)))))))
% -> multiply(A,V_6)
% Current number of equations to process: 4552
% Current number of ordered equations: 3
% Current number of rules: 87
% New rule produced :
% [125]
% multiply(A,multiply(inverse(multiply(inverse(multiply(inverse(B),multiply(C,B))),
% multiply(multiply(C,D),inverse(D)))),multiply(
% inverse(
% multiply(E,F)),
% multiply(E,
% inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_6),V_7),
% inverse(V_7)),
% inverse(F)))))))
% -> multiply(A,V_6)
% Current number of equations to process: 4552
% Current number of ordered equations: 2
% Current number of rules: 88
% New rule produced :
% [126]
% multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(C,B))),
% multiply(inverse(multiply(multiply(D,E),inverse(E))),multiply(
% multiply(D,F),
% inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_6),V_7),
% inverse(V_7)),
% inverse(
% inverse(F))))))))
% -> multiply(A,V_6)
% Current Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------