TSTP Solution File: GRP405-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP405-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n068.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:22:52 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 : GRP405-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n068.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun 6 12:36:58 CDT 2014
% % CPUTime : 300.07
% Processing problem /tmp/CiME_65034_n068.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3 : constant; inverse : 1; multiply : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(B,multiply(inverse(B),B)))))) = C;
% ";
%
% let s1 = status F "
% c3 lr_lex;
% b3 lr_lex;
% a3 lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > a3 > b3 > c3";
%
% let s2 = status F "
% c3 mul;
% b3 mul;
% a3 mul;
% inverse mul;
% multiply mul;
% ";
%
% let p2 = precedence F "
% multiply > inverse > a3 = b3 = c3";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3));"
% ;
% (*
% 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(A,inverse(multiply(inverse(multiply(
% inverse(
% multiply(A,B)),C)),
% inverse(multiply(B,multiply(
% inverse(B),B))))))
% = C } (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(a3,b3),c3) =
% multiply(a3,multiply(b3,c3)) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced :
% [1]
% multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),
% inverse(multiply(B,multiply(inverse(B),B)))))) -> C
% 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(inverse(multiply(A,C)),V_3)),B)),
% inverse(multiply(V_3,multiply(inverse(V_3),V_3))))) ->
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C))))))
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% inverse(multiply(B,
% multiply(inverse(B),B)))))))
% -> C
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <-> multiply(inverse(multiply(inverse(multiply(C,V_4)),B)),V_3)
% Current number of equations to process: 16
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced :
% [5]
% multiply(inverse(multiply(inverse(multiply(C,V_4)),B)),V_3) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% Rule
% [1]
% multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),
% inverse(multiply(B,multiply(inverse(B),B)))))) -> C
% collapsed.
% Rule
% [2]
% inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,C)),V_3)),B)),
% inverse(multiply(V_3,multiply(inverse(V_3),V_3))))) ->
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C))))))
% collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [6]
% multiply(A,inverse(multiply(inverse(multiply(A,C)),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(B,
% multiply(
% inverse(B),B)))),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))))
% -> C
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [7]
% multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(V_3,inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(V_3,V_5)),multiply(B,inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))))),V_4)
% Current number of equations to process: 53
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced :
% [8]
% multiply(inverse(multiply(inverse(multiply(V_3,V_5)),multiply(B,inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))))),V_4)
% <->
% multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(V_3,inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5))))))))
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [9]
% inverse(multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,
% multiply(
% inverse(C),C)))))),
% inverse(multiply(B,multiply(inverse(B),B))))) <->
% multiply(inverse(multiply(A,C)),inverse(multiply(inverse(inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(multiply(V_3,multiply(
% inverse(V_3),V_3))))))
% Current number of equations to process: 106
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [10]
% multiply(inverse(multiply(A,C)),inverse(multiply(inverse(inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(multiply(V_3,multiply(
% inverse(V_3),V_3))))))
% <->
% inverse(multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,
% multiply(
% inverse(C),C)))))),
% inverse(multiply(B,multiply(inverse(B),B)))))
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [11]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,multiply(
% inverse(B),B)))),
% inverse(multiply(B,multiply(inverse(B),B))))))
% <->
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(C,multiply(
% inverse(C),C)))),
% inverse(multiply(C,multiply(inverse(C),C))))))
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [12]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))))
% -> inverse(multiply(B,multiply(inverse(B),B)))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [13]
% inverse(multiply(inverse(inverse(multiply(B,multiply(inverse(B),B)))),
% inverse(multiply(B,multiply(inverse(B),B))))) <->
% inverse(multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),
% inverse(multiply(A,multiply(inverse(A),A)))))
% Rule
% [11]
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(B,multiply(
% inverse(B),B)))),
% inverse(multiply(B,multiply(inverse(B),B))))))
% <->
% multiply(inverse(A),inverse(multiply(inverse(inverse(multiply(C,multiply(
% inverse(C),C)))),
% inverse(multiply(C,multiply(inverse(C),C))))))
% collapsed.
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [14]
% multiply(inverse(inverse(multiply(B,multiply(inverse(B),B)))),inverse(
% multiply(B,
% multiply(
% inverse(B),B))))
% <->
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),inverse(
% multiply(A,
% multiply(
% inverse(A),A))))
% Rule
% [13]
% inverse(multiply(inverse(inverse(multiply(B,multiply(inverse(B),B)))),
% inverse(multiply(B,multiply(inverse(B),B))))) <->
% inverse(multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),
% inverse(multiply(A,multiply(inverse(A),A))))) collapsed.
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [15]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(multiply(C,
% multiply(inverse(C),C)))))))
% -> inverse(multiply(B,multiply(inverse(B),B)))
% Rule
% [12]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))))
% -> inverse(multiply(B,multiply(inverse(B),B))) collapsed.
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [16]
% multiply(inverse(inverse(multiply(C,multiply(inverse(C),C)))),multiply(
% inverse(
% multiply(V_3,C)),
% multiply(V_3,
% inverse(
% multiply(
% inverse(B),
% inverse(
% multiply(A,
% multiply(
% inverse(A),A))))))))
% <-> multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),B)
% Current number of equations to process: 276
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced :
% [17]
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),B) <->
% multiply(inverse(inverse(multiply(C,multiply(inverse(C),C)))),multiply(
% inverse(
% multiply(V_3,C)),
% multiply(V_3,
% inverse(
% multiply(
% inverse(B),
% inverse(
% multiply(A,
% multiply(
% inverse(A),A))))))))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [18]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),inverse(multiply(
% multiply(A,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B)))))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))
% -> inverse(multiply(C,multiply(inverse(C),C)))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [19]
% multiply(inverse(multiply(C,multiply(V_3,inverse(multiply(inverse(A),
% inverse(multiply(V_4,
% multiply(inverse(V_4),V_4)))))))),
% multiply(C,multiply(V_3,inverse(multiply(inverse(B),inverse(multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% -> multiply(inverse(A),B)
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [20]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,
% inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))),V_5)
% <->
% multiply(inverse(multiply(V_6,V_3)),multiply(V_6,multiply(inverse(multiply(C,V_4)),
% inverse(multiply(inverse(V_5),
% inverse(multiply(B,
% multiply(
% inverse(B),B))))))))
% Current number of equations to process: 420
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [21]
% multiply(inverse(multiply(V_6,V_3)),multiply(V_6,multiply(inverse(multiply(C,V_4)),
% inverse(multiply(inverse(V_5),
% inverse(multiply(B,
% multiply(
% inverse(B),B))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,
% inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))),V_5)
% Current number of equations to process: 424
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [22]
% multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,multiply(inverse(multiply(A,B)),
% inverse(multiply(inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))))
% -> V_3
% Current number of equations to process: 584
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [23]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))))
% -> C
% Rule
% [22]
% multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,multiply(inverse(multiply(A,B)),
% inverse(multiply(inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))))
% -> V_3 collapsed.
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [24]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C))))))))))
% -> B
% Current number of equations to process: 626
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [25]
% multiply(inverse(multiply(A,B)),inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,inverse(multiply(multiply(A,
% inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B)))))),
% inverse(multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))))))
% -> V_3
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [26]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(A,C)),
% inverse(multiply(inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))
% ->
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C))))))
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [27]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(
% multiply(B,C)),
% inverse(multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))
% <->
% multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,multiply(inverse(C),C))))))
% Current number of equations to process: 800
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [28]
% multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,multiply(inverse(C),C))))))
% <->
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(
% multiply(B,C)),
% inverse(multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))
% Current number of equations to process: 807
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [29]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,multiply(V_4,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(B,
% multiply(
% inverse(B),B)))),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5)))))))))))
% <-> multiply(inverse(multiply(V_4,V_5)),V_3)
% Current number of equations to process: 915
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [30]
% multiply(inverse(multiply(V_4,V_5)),V_3) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,multiply(V_4,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(B,
% multiply(
% inverse(B),B)))),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5)))))))))))
% Current number of equations to process: 925
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [31]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,multiply(V_4,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5)))),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5)))))))))))
% <-> multiply(inverse(multiply(V_4,B)),V_3)
% Current number of equations to process: 1116
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [32]
% multiply(inverse(multiply(V_4,B)),V_3) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,multiply(V_4,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5)))),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5)))))))))))
% Current number of equations to process: 1126
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [33]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% inverse(multiply(V_3,
% multiply(inverse(V_3),V_3)))))))
% <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,inverse(multiply(inverse(C),
% inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 1203
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [34]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),
% multiply(V_3,inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5))))))))
% <-> multiply(inverse(multiply(inverse(multiply(A,V_5)),C)),V_4)
% Current number of equations to process: 1419
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [35]
% multiply(inverse(multiply(inverse(multiply(A,V_5)),C)),V_4) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),
% multiply(V_3,inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5))))))))
% Current number of equations to process: 1419
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [36]
% multiply(inverse(multiply(inverse(multiply(V_5,V_4)),multiply(V_5,inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))))),V_3)
% <->
% multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(B,inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% Current number of equations to process: 1430
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [37]
% multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(B,inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(V_5,V_4)),multiply(V_5,inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))))),V_3)
% Current number of equations to process: 1430
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [38]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(C,V_5)),B)),multiply(inverse(
% multiply(V_6,V_5)),
% multiply(V_6,inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% Current number of equations to process: 2051
% Current number of ordered equations: 1
% Current number of rules: 32
% Rule [38]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(C,V_5)),B)),multiply(
% inverse(multiply(V_6,V_5)),
% multiply(V_6,
% inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))))) is composed into
% [38]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% Rule [35]
% multiply(inverse(multiply(inverse(multiply(A,V_5)),C)),V_4) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),
% multiply(V_3,
% inverse(multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5)))))))) is composed into
% [35]
% multiply(inverse(multiply(inverse(multiply(A,V_5)),C)),V_4) <->
% multiply(inverse(multiply(A,C)),multiply(A,multiply(A,inverse(multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5))))))))
% New rule produced :
% [39]
% multiply(inverse(multiply(inverse(multiply(C,V_5)),B)),multiply(inverse(
% multiply(V_6,V_5)),
% multiply(V_6,inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% Rule
% [34]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),
% multiply(V_3,inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5))))))))
% <-> multiply(inverse(multiply(inverse(multiply(A,V_5)),C)),V_4) collapsed.
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [40]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(A,inverse(multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 2180
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [41]
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(A,inverse(multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 2180
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [42]
% multiply(A,inverse(multiply(inverse(multiply(B,C)),multiply(B,multiply(A,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))))
% -> C
% Rule
% [6]
% multiply(A,inverse(multiply(inverse(multiply(A,C)),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(B,
% multiply(
% inverse(B),B)))),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))))
% -> C collapsed.
% Rule
% [23]
% multiply(inverse(A),inverse(multiply(inverse(multiply(B,C)),multiply(B,
% multiply(
% inverse(A),
% inverse(multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))))
% -> C collapsed.
% Rule
% [24]
% multiply(A,inverse(multiply(inverse(multiply(c3,B)),multiply(c3,multiply(A,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C))))))))))
% -> B collapsed.
% Current number of equations to process: 2303
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [43]
% multiply(C,inverse(multiply(inverse(B),inverse(multiply(V_3,multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(inverse(multiply(C,V_3)),
% multiply(A,inverse(multiply(inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))))
% Current number of equations to process: 2585
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [44]
% multiply(A,inverse(multiply(inverse(B),multiply(inverse(multiply(C,V_3)),
% multiply(A,inverse(multiply(inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))))
% <->
% multiply(C,inverse(multiply(inverse(B),inverse(multiply(V_3,multiply(
% inverse(V_3),V_3))))))
% Current number of equations to process: 2585
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [45]
% multiply(inverse(multiply(A,B)),multiply(C,inverse(multiply(inverse(V_3),
% multiply(inverse(multiply(A,B)),
% multiply(C,inverse(
% multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))))))))
% -> V_3
% Current number of equations to process: 2632
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [46]
% multiply(inverse(A),multiply(B,inverse(multiply(inverse(C),multiply(inverse(A),
% multiply(B,
% inverse(multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))))
% -> C
% Rule
% [45]
% multiply(inverse(multiply(A,B)),multiply(C,inverse(multiply(inverse(V_3),
% multiply(inverse(multiply(A,B)),
% multiply(C,inverse(
% multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))))))))
% -> V_3 collapsed.
% Current number of equations to process: 2809
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [47]
% multiply(inverse(A),multiply(inverse(multiply(B,C)),inverse(multiply(
% inverse(V_3),
% multiply(
% inverse(A),
% inverse(multiply(
% multiply(B,
% inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))))
% -> V_3
% Current number of equations to process: 2890
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [48]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(multiply(C,
% inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))),
% inverse(multiply(B,
% multiply(inverse(B),B)))))))
% <->
% multiply(inverse(multiply(c3,V_3)),multiply(c3,inverse(multiply(inverse(
% multiply(c3,
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5))))),
% multiply(c3,multiply(
% inverse(
% multiply(
% inverse(
% multiply(C,V_4)),V_5)),
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),c3)))),
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),c3)))))))))))
% Current number of equations to process: 2973
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [49]
% multiply(inverse(multiply(c3,V_3)),multiply(c3,inverse(multiply(inverse(
% multiply(c3,
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5))))),
% multiply(c3,multiply(
% inverse(
% multiply(
% inverse(
% multiply(C,V_4)),V_5)),
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),c3)))),
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),c3)))))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(multiply(C,
% inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))),
% inverse(multiply(B,
% multiply(inverse(B),B)))))))
% Current number of equations to process: 2973
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [50]
% multiply(inverse(multiply(V_7,V_5)),multiply(V_7,multiply(inverse(multiply(
% inverse(
% multiply(C,V_4)),B)),
% inverse(multiply(inverse(V_6),
% inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,
% multiply(C,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))),V_5)),V_6)
% Current number of equations to process: 3190
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [51]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,
% multiply(C,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))),V_5)),V_6)
% <->
% multiply(inverse(multiply(V_7,V_5)),multiply(V_7,multiply(inverse(multiply(
% inverse(
% multiply(C,V_4)),B)),
% inverse(multiply(inverse(V_6),
% inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 3190
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [52]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,inverse(multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% Current number of equations to process: 3645
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [53]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,inverse(multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 3645
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [54]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(c3,C)),
% inverse(multiply(inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))
% ->
% multiply(c3,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C))))))
% Current number of equations to process: 3804
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [55]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% inverse(multiply(inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))))))
% <->
% multiply(C,inverse(multiply(inverse(B),inverse(multiply(V_3,multiply(
% inverse(V_3),V_3))))))
% Rule
% [26]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(A,C)),
% inverse(multiply(inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))
% ->
% multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C))))))
% collapsed.
% Rule
% [27]
% inverse(multiply(inverse(multiply(c3,A)),multiply(c3,multiply(inverse(
% multiply(B,C)),
% inverse(multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))
% <->
% multiply(B,inverse(multiply(inverse(A),inverse(multiply(C,multiply(inverse(C),C))))))
% collapsed.
% Rule
% [54]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(c3,C)),
% inverse(multiply(inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))
% ->
% multiply(c3,inverse(multiply(inverse(B),inverse(multiply(C,multiply(inverse(C),C))))))
% collapsed.
% Current number of equations to process: 3805
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [56]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))),
% inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(C,inverse(multiply(inverse(B),inverse(multiply(V_4,multiply(
% inverse(V_4),V_4))))))
% Current number of equations to process: 3932
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [57]
% multiply(C,inverse(multiply(inverse(B),inverse(multiply(V_4,multiply(
% inverse(V_4),V_4))))))
% <->
% inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))),
% inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% Current number of equations to process: 3932
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [58]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(A,inverse(multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% Current number of equations to process: 4271
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [59]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(A,inverse(multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C))))))))
% Current number of equations to process: 4271
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [60]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(c3,inverse(multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% Current number of equations to process: 4522
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [61]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(C,inverse(multiply(
% inverse(
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5)))),
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5))))))))
% Rule
% [52]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,inverse(multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% collapsed.
% Rule
% [53]
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,inverse(multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% collapsed.
% Rule
% [58]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(A,inverse(multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% collapsed.
% Rule
% [59]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(A,inverse(multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C))))))))
% collapsed.
% Rule
% [60]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(c3,inverse(multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(c3,inverse(multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% collapsed.
% Current number of equations to process: 4633
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [62]
% multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(
% inverse(C),C)))))),V_3)
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(V_5,multiply(inverse(V_5),V_5))))),
% multiply(V_4,multiply(inverse(multiply(inverse(multiply(A,C)),V_5)),inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))
% Current number of equations to process: 4758
% Current number of ordered equations: 1
% Current number of rules: 43
% Rule [48]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))),
% inverse(multiply(B,
% multiply(
% inverse(B),B)))))))
% <->
% multiply(inverse(multiply(c3,V_3)),multiply(c3,inverse(multiply(
% inverse(multiply(c3,
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5))))),
% multiply(c3,
% multiply(
% inverse(multiply(
% inverse(
% multiply(C,V_4)),V_5)),
% inverse(multiply(
% inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),c3)))),
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),c3))))))))))) is composed into
% [48]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(multiply(C,
% inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))),
% inverse(multiply(B,
% multiply(inverse(B),B)))))))
% <->
% multiply(inverse(multiply(c3,V_3)),multiply(c3,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(c3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))),
% inverse(multiply(c3,
% multiply(
% inverse(c3),c3)))))))
% New rule produced :
% [63]
% multiply(inverse(multiply(V_4,inverse(multiply(V_5,multiply(inverse(V_5),V_5))))),
% multiply(V_4,multiply(inverse(multiply(inverse(multiply(A,C)),V_5)),inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))
% <->
% multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(
% inverse(C),C)))))),V_3)
% Rule
% [49]
% multiply(inverse(multiply(c3,V_3)),multiply(c3,inverse(multiply(inverse(
% multiply(c3,
% inverse(
% multiply(V_5,
% multiply(
% inverse(V_5),V_5))))),
% multiply(c3,multiply(
% inverse(
% multiply(
% inverse(
% multiply(C,V_4)),V_5)),
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),c3)))),
% inverse(
% multiply(c3,
% multiply(
% inverse(c3),c3)))))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(multiply(C,
% inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))),
% inverse(multiply(B,
% multiply(inverse(B),B)))))))
% collapsed.
% Current number of equations to process: 4759
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [64]
% multiply(multiply(A,inverse(multiply(inverse(C),inverse(multiply(B,multiply(
% inverse(B),B)))))),
% inverse(multiply(C,multiply(inverse(C),C)))) <->
% multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(B,multiply(
% inverse(B),B)))))),
% inverse(multiply(B,multiply(inverse(B),B))))
% Current number of equations to process: 4943
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [65]
% multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(B,multiply(
% inverse(B),B)))))),
% inverse(multiply(B,multiply(inverse(B),B)))) <->
% multiply(multiply(A,inverse(multiply(inverse(C),inverse(multiply(B,multiply(
% inverse(B),B)))))),
% inverse(multiply(C,multiply(inverse(C),C))))
% Current number of equations to process: 4943
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [66]
% multiply(inverse(multiply(V_5,multiply(B,inverse(multiply(inverse(A),
% inverse(multiply(C,multiply(
% inverse(C),C)))))))),
% multiply(V_5,inverse(multiply(inverse(V_3),inverse(multiply(V_4,multiply(
% inverse(V_4),V_4)))))))
% ->
% multiply(inverse(A),multiply(inverse(multiply(B,C)),inverse(multiply(
% inverse(V_3),
% inverse(multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))))
% Current number of equations to process: 2310
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [67]
% multiply(inverse(inverse(multiply(V_4,multiply(inverse(V_4),V_4)))),multiply(
% inverse(
% multiply(B,V_4)),
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),multiply(
% inverse(
% multiply(B,A)),
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))
% Current number of equations to process: 2392
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [68]
% multiply(multiply(A,inverse(multiply(inverse(V_5),inverse(multiply(C,
% multiply(inverse(C),C)))))),V_4)
% <->
% multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(
% inverse(C),C)))))),
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(inverse(V_4),
% inverse(multiply(V_5,
% multiply(
% inverse(V_5),V_5))))))))
% Current number of equations to process: 2579
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [69]
% multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(
% inverse(C),C)))))),
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(inverse(V_4),
% inverse(multiply(V_5,
% multiply(
% inverse(V_5),V_5))))))))
% <->
% multiply(multiply(A,inverse(multiply(inverse(V_5),inverse(multiply(C,
% multiply(inverse(C),C)))))),V_4)
% Current number of equations to process: 2579
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [70]
% multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(C,multiply(
% inverse(C),C)))))),
% inverse(multiply(B,multiply(inverse(B),B)))) <->
% multiply(multiply(A,inverse(multiply(inverse(V_3),inverse(multiply(C,
% multiply(inverse(C),C)))))),
% inverse(multiply(V_3,multiply(inverse(V_3),V_3))))
% Rule
% [64]
% multiply(multiply(A,inverse(multiply(inverse(C),inverse(multiply(B,multiply(
% inverse(B),B)))))),
% inverse(multiply(C,multiply(inverse(C),C)))) <->
% multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(B,multiply(
% inverse(B),B)))))),
% inverse(multiply(B,multiply(inverse(B),B)))) collapsed.
% Rule
% [65]
% multiply(multiply(A,inverse(multiply(inverse(B),inverse(multiply(B,multiply(
% inverse(B),B)))))),
% inverse(multiply(B,multiply(inverse(B),B)))) <->
% multiply(multiply(A,inverse(multiply(inverse(C),inverse(multiply(B,multiply(
% inverse(B),B)))))),
% inverse(multiply(C,multiply(inverse(C),C)))) collapsed.
% Current number of equations to process: 2736
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [71]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3)),V_4)
% <->
% multiply(inverse(multiply(V_5,multiply(V_6,multiply(A,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))),
% multiply(V_5,multiply(V_6,inverse(multiply(inverse(V_4),inverse(multiply(C,
% multiply(
% inverse(C),C))))))))
% Current number of equations to process: 2954
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [72]
% multiply(inverse(multiply(V_5,multiply(V_6,multiply(A,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))),
% multiply(V_5,multiply(V_6,inverse(multiply(inverse(V_4),inverse(multiply(C,
% multiply(
% inverse(C),C))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3)),V_4)
% Current number of equations to process: 2954
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [73]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3)),
% multiply(inverse(multiply(V_4,C)),multiply(V_5,inverse(multiply(inverse(V_6),
% inverse(multiply(V_7,
% multiply(
% inverse(V_7),V_7))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(V_5,V_7)),multiply(V_4,multiply(A,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))),V_6)
% Current number of equations to process: 3455
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [74]
% multiply(inverse(multiply(inverse(multiply(V_5,V_7)),multiply(V_4,multiply(A,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))),V_6)
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3)),
% multiply(inverse(multiply(V_4,C)),multiply(V_5,inverse(multiply(inverse(V_6),
% inverse(multiply(V_7,
% multiply(
% inverse(V_7),V_7))))))))
% Current number of equations to process: 3455
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [75]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(
% multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))
% <->
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C))))))))))
% Current number of equations to process: 4078
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [76]
% multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C))))))))))
% <->
% inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(
% multiply(
% inverse(
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))
% Current number of equations to process: 4078
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [77]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% multiply(C,
% multiply(C,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))))))
% <-> multiply(inverse(multiply(C,B)),V_3)
% Current number of equations to process: 4173
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [78]
% multiply(inverse(multiply(C,B)),V_3) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% multiply(C,
% multiply(C,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))))))
% Current number of equations to process: 4173
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [79]
% multiply(A,multiply(A,inverse(multiply(inverse(B),multiply(A,multiply(A,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))))))))
% -> B
% Current number of equations to process: 4210
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [80]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(C,multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(V_3,V_4)),C)),B)),
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),C)),inverse(multiply(C,
% multiply(
% inverse(C),C)))))
% Current number of equations to process: 4367
% Current number of ordered equations: 1
% Current number of rules: 58
% Rule [80]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(C,multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(V_3,V_4)),C)),B)),
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),C)),inverse(
% multiply(C,
% multiply(
% inverse(C),C))))) is composed into
% [80]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(C,multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(C,multiply(
% inverse(C),C)))))
% New rule produced :
% [81]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(V_3,V_4)),C)),B)),
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),C)),inverse(multiply(C,
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(C,multiply(
% inverse(C),C)))))
% Current number of equations to process: 4367
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [82]
% multiply(inverse(multiply(A,B)),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C))
% Rule
% [33]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(C),
% inverse(multiply(V_3,
% multiply(inverse(V_3),V_3)))))))
% <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,inverse(multiply(inverse(C),
% inverse(multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Rule
% [38]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% collapsed.
% Rule
% [40]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(A,inverse(multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% collapsed.
% Rule
% [41]
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(A,inverse(multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(A,inverse(multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))))))
% collapsed.
% Rule
% [80]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(C,multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(C,multiply(
% inverse(C),C)))))
% collapsed.
% Rule
% [81]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(V_3,V_4)),C)),B)),
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),C)),inverse(multiply(C,
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(C,multiply(
% inverse(C),C)))))
% collapsed.
% Current number of equations to process: 4488
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [83]
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(
% multiply(B,C),
% multiply(
% inverse(
% multiply(V_4,C)),
% multiply(V_4,C))))))))
% -> V_3
% Current number of equations to process: 4611
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [84]
% multiply(inverse(multiply(inverse(multiply(C,multiply(V_4,V_5))),B)),V_3) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(
% multiply(V_4,V_5),
% multiply(
% inverse(
% multiply(V_6,V_5)),
% multiply(V_6,V_5)))))))))
% Current number of equations to process: 4615
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [85]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(
% multiply(V_4,V_5),
% multiply(
% inverse(
% multiply(V_6,V_5)),
% multiply(V_6,V_5)))))))))
% <-> multiply(inverse(multiply(inverse(multiply(C,multiply(V_4,V_5))),B)),V_3)
% Current number of equations to process: 4615
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [86]
% multiply(inverse(inverse(multiply(multiply(A,B),multiply(inverse(multiply(C,B)),
% multiply(C,B))))),inverse(
% multiply(
% multiply(A,B),
% multiply(
% inverse(
% multiply(A,B)),
% multiply(A,B)))))
% <->
% multiply(inverse(inverse(multiply(V_3,multiply(inverse(V_3),V_3)))),inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))
% Current number of equations to process: 4661
% Current number of ordered equations: 2
% Current number of rules: 58
% New rule produced :
% [87]
% multiply(inverse(inverse(multiply(V_3,multiply(inverse(V_3),V_3)))),inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(inverse(multiply(multiply(A,B),multiply(inverse(multiply(A,B)),
% multiply(A,B))))),inverse(
% multiply(
% multiply(A,B),
% multiply(
% inverse(
% multiply(C,B)),
% multiply(C,B)))))
% Current number of equations to process: 4661
% Current number of ordered equations: 1
% Current number of rules: 59
% Rule [87]
% multiply(inverse(inverse(multiply(V_3,multiply(inverse(V_3),V_3)))),
% inverse(multiply(V_3,multiply(inverse(V_3),V_3)))) <->
% multiply(inverse(inverse(multiply(multiply(A,B),multiply(inverse(
% multiply(A,B)),
% multiply(A,B))))),
% inverse(multiply(multiply(A,B),multiply(inverse(multiply(C,B)),multiply(C,B))))) is composed into
% [87]
% multiply(inverse(inverse(multiply(V_3,multiply(inverse(V_3),V_3)))),inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))
% <->
% multiply(inverse(inverse(multiply(c3,multiply(inverse(c3),c3)))),inverse(
% multiply(c3,
% multiply(
% inverse(c3),c3))))
% New rule produced :
% [88]
% multiply(inverse(inverse(multiply(multiply(A,B),multiply(inverse(multiply(A,B)),
% multiply(A,B))))),inverse(
% multiply(
% multiply(A,B),
% multiply(
% inverse(
% multiply(C,B)),
% multiply(C,B)))))
% <->
% multiply(inverse(inverse(multiply(V_3,multiply(inverse(V_3),V_3)))),inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3))))
% Current number of equations to process: 4661
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [89]
% multiply(inverse(multiply(inverse(multiply(V_3,multiply(V_5,V_6))),multiply(B,
% inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))))),V_4)
% <->
% multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(V_3,inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% multiply(V_5,V_6),
% multiply(
% inverse(
% multiply(V_7,V_6)),
% multiply(V_7,V_6)))))))))
% Current number of equations to process: 4796
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [90]
% multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(V_3,inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% multiply(V_5,V_6),
% multiply(
% inverse(
% multiply(V_7,V_6)),
% multiply(V_7,V_6)))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(V_3,multiply(V_5,V_6))),multiply(B,
% inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))))),V_4)
% Current number of equations to process: 4796
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [91]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(
% multiply(V_4,V_5),
% multiply(
% inverse(
% multiply(V_6,V_5)),
% multiply(V_6,V_5))))))))),V_7)
% <->
% multiply(inverse(V_3),multiply(inverse(multiply(C,multiply(V_4,V_5))),
% multiply(A,inverse(multiply(inverse(V_7),inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))
% Current number of equations to process: 4795
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [92]
% multiply(inverse(V_3),multiply(inverse(multiply(C,multiply(V_4,V_5))),
% multiply(A,inverse(multiply(inverse(V_7),inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(
% multiply(V_4,V_5),
% multiply(
% inverse(
% multiply(V_6,V_5)),
% multiply(V_6,V_5))))))))),V_7)
% Current number of equations to process: 4795
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [93]
% multiply(inverse(C),multiply(inverse(multiply(V_7,multiply(V_3,V_4))),
% multiply(V_7,inverse(multiply(inverse(V_6),inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(
% inverse(C),
% inverse(
% multiply(
% multiply(V_3,V_4),
% multiply(
% inverse(
% multiply(V_5,V_4)),
% multiply(V_5,V_4))))))))),V_6)
% Current number of equations to process: 4794
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [94]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(
% inverse(C),
% inverse(
% multiply(
% multiply(V_3,V_4),
% multiply(
% inverse(
% multiply(V_5,V_4)),
% multiply(V_5,V_4))))))))),V_6)
% <->
% multiply(inverse(C),multiply(inverse(multiply(V_7,multiply(V_3,V_4))),
% multiply(V_7,inverse(multiply(inverse(V_6),inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))
% Current number of equations to process: 4794
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [95]
% multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(B,inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(
% multiply(V_4,V_5),
% multiply(
% inverse(
% multiply(V_6,V_5)),
% multiply(V_6,V_5)))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(V_7,multiply(V_4,V_5))),multiply(V_7,
% inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))))),V_3)
% Current number of equations to process: 4793
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [96]
% multiply(inverse(multiply(inverse(multiply(V_7,multiply(V_4,V_5))),multiply(V_7,
% inverse(
% multiply(
% inverse(A),
% inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))))),V_3)
% <->
% multiply(inverse(A),multiply(inverse(multiply(B,C)),multiply(B,inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(
% multiply(V_4,V_5),
% multiply(
% inverse(
% multiply(V_6,V_5)),
% multiply(V_6,V_5)))))))))
% Current number of equations to process: 4793
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [97]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),
% multiply(V_3,V_4))) <->
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4)))
% Rule
% [39]
% multiply(inverse(multiply(inverse(multiply(C,V_5)),B)),multiply(inverse(
% multiply(V_6,V_5)),
% multiply(V_6,inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% collapsed.
% Current number of equations to process: 4926
% Current number of ordered equations: 2
% Current number of rules: 68
% New rule produced :
% [98]
% multiply(inverse(multiply(V_5,multiply(V_3,C))),multiply(V_5,V_4)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% Current number of equations to process: 4926
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [99]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% <-> multiply(inverse(multiply(V_5,multiply(V_3,C))),multiply(V_5,V_4))
% Current number of equations to process: 4926
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [100]
% multiply(inverse(multiply(V_4,multiply(B,inverse(multiply(inverse(A),
% inverse(multiply(C,multiply(
% inverse(C),C)))))))),
% multiply(V_4,V_3)) ->
% multiply(inverse(A),multiply(inverse(multiply(B,C)),V_3))
% Rule
% [19]
% multiply(inverse(multiply(C,multiply(V_3,inverse(multiply(inverse(A),
% inverse(multiply(V_4,
% multiply(inverse(V_4),V_4)))))))),
% multiply(C,multiply(V_3,inverse(multiply(inverse(B),inverse(multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))
% -> multiply(inverse(A),B) collapsed.
% Rule
% [66]
% multiply(inverse(multiply(V_5,multiply(B,inverse(multiply(inverse(A),
% inverse(multiply(C,multiply(
% inverse(C),C)))))))),
% multiply(V_5,inverse(multiply(inverse(V_3),inverse(multiply(V_4,multiply(
% inverse(V_4),V_4)))))))
% ->
% multiply(inverse(A),multiply(inverse(multiply(B,C)),inverse(multiply(
% inverse(V_3),
% inverse(multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))))
% collapsed.
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [101]
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))
% <-> multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),V_3)
% Current number of equations to process: 1285
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [102]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),V_3) <->
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))
% Current number of equations to process: 1285
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [103]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(
% multiply(V_3,V_4)),B)),V_5))
% <->
% multiply(inverse(multiply(V_6,C)),multiply(V_6,multiply(A,multiply(V_3,
% inverse(multiply(
% inverse(V_5),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))))))
% Current number of equations to process: 1280
% Current number of ordered equations: 3
% Current number of rules: 72
% New rule produced :
% [104]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3)),
% multiply(inverse(multiply(V_4,C)),V_5)) <->
% multiply(inverse(multiply(V_6,multiply(V_4,multiply(A,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))),
% multiply(V_6,V_5))
% Current number of equations to process: 1280
% Current number of ordered equations: 2
% Current number of rules: 73
% New rule produced :
% [105]
% multiply(inverse(multiply(V_6,C)),multiply(V_6,multiply(A,multiply(V_3,
% inverse(multiply(
% inverse(V_5),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(
% multiply(V_3,V_4)),B)),V_5))
% Current number of equations to process: 1280
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [106]
% multiply(inverse(multiply(V_6,multiply(V_4,multiply(A,inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(B,
% multiply(
% inverse(B),B))))))))),
% multiply(V_6,V_5)) <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3)),
% multiply(inverse(multiply(V_4,C)),V_5))
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [107]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),
% inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% multiply(V_3,C),
% multiply(
% inverse(
% multiply(V_3,C)),
% multiply(V_3,C))))))))
% -> V_4
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [108]
% multiply(inverse(multiply(V_5,multiply(B,inverse(multiply(inverse(A),
% inverse(multiply(multiply(C,V_3),
% multiply(inverse(
% multiply(V_6,V_3)),
% multiply(V_6,V_3))))))))),
% multiply(V_5,V_4)) ->
% multiply(inverse(A),multiply(inverse(multiply(B,multiply(C,V_3))),V_4))
% Current number of equations to process: 1520
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [109]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),
% inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% multiply(V_3,C),
% multiply(
% inverse(
% multiply(V_5,C)),
% multiply(V_5,C))))))))
% -> V_4
% Rule
% [107]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),
% inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% multiply(V_3,C),
% multiply(
% inverse(
% multiply(V_3,C)),
% multiply(V_3,C))))))))
% -> V_4 collapsed.
% Current number of equations to process: 1519
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [110]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),
% inverse(
% multiply(V_6,
% multiply(
% inverse(V_6),V_6))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(V_4,V_6)),multiply(V_3,C))),V_5)
% Current number of equations to process: 1518
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [111]
% multiply(inverse(multiply(inverse(multiply(V_4,V_6)),multiply(V_3,C))),V_5)
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),
% inverse(
% multiply(V_6,
% multiply(
% inverse(V_6),V_6))))))))
% Current number of equations to process: 1518
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [112]
% multiply(inverse(inverse(multiply(V_4,multiply(inverse(V_4),V_4)))),multiply(
% inverse(
% multiply(B,V_4)),C))
% <->
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),multiply(
% inverse(
% multiply(B,A)),C))
% Rule
% [67]
% multiply(inverse(inverse(multiply(V_4,multiply(inverse(V_4),V_4)))),multiply(
% inverse(
% multiply(B,V_4)),
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))
% <->
% multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),multiply(
% inverse(
% multiply(B,A)),
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))
% collapsed.
% Current number of equations to process: 1517
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [113]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,multiply(C,
% inverse(multiply(
% inverse(V_3),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))),
% multiply(inverse(multiply(inverse(multiply(C,V_4)),B)),V_5)) <->
% multiply(inverse(multiply(V_6,V_3)),multiply(V_6,V_5))
% Current number of equations to process: 1516
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [114]
% multiply(inverse(multiply(V_3,inverse(multiply(B,multiply(inverse(B),B))))),
% multiply(V_3,C)) <->
% multiply(inverse(multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),
% inverse(multiply(A,multiply(inverse(A),A))))),multiply(
% inverse(
% inverse(
% multiply(B,
% multiply(
% inverse(B),B)))),C))
% Current number of equations to process: 1514
% Current number of ordered equations: 3
% Current number of rules: 81
% New rule produced :
% [115]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(A,multiply(
% inverse(A),A)))))
% <->
% multiply(inverse(multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),B)),
% multiply(inverse(inverse(multiply(C,multiply(inverse(C),C)))),inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))
% Current number of equations to process: 1514
% Current number of ordered equations: 2
% Current number of rules: 82
% New rule produced :
% [116]
% multiply(inverse(multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),
% inverse(multiply(A,multiply(inverse(A),A))))),multiply(
% inverse(
% inverse(
% multiply(B,
% multiply(
% inverse(B),B)))),C))
% <->
% multiply(inverse(multiply(V_3,inverse(multiply(B,multiply(inverse(B),B))))),
% multiply(V_3,C))
% Current number of equations to process: 1514
% Current number of ordered equations: 1
% Current number of rules: 83
% Rule [115]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(A,
% multiply(
% inverse(A),A)))))
% <->
% multiply(inverse(multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),B)),
% multiply(inverse(inverse(multiply(C,multiply(inverse(C),C)))),inverse(
% multiply(C,
% multiply(
% inverse(C),C))))) is composed into
% [115]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(A,multiply(
% inverse(A),A)))))
% <->
% multiply(inverse(multiply(c3,B)),multiply(c3,inverse(multiply(A,multiply(
% inverse(A),A)))))
% New rule produced :
% [117]
% multiply(inverse(multiply(inverse(inverse(multiply(A,multiply(inverse(A),A)))),B)),
% multiply(inverse(inverse(multiply(C,multiply(inverse(C),C)))),inverse(
% multiply(C,
% multiply(
% inverse(C),C)))))
% <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(A,multiply(
% inverse(A),A)))))
% Current number of equations to process: 1514
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [118]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,
% multiply(V_3,
% inverse(multiply(
% inverse(A),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))))),V_5))
% <->
% multiply(inverse(multiply(V_6,multiply(C,multiply(V_3,inverse(multiply(
% inverse(B),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))),
% multiply(V_6,V_5))
% Current number of equations to process: 1512
% Current number of ordered equations: 3
% Current number of rules: 85
% New rule produced :
% [119]
% multiply(inverse(multiply(V_6,V_4)),multiply(V_6,multiply(A,multiply(B,
% inverse(multiply(
% inverse(V_5),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,inverse(multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))),V_4)),
% multiply(inverse(C),V_5))
% Current number of equations to process: 1512
% Current number of ordered equations: 2
% Current number of rules: 86
% New rule produced :
% [120]
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,inverse(multiply(
% inverse(C),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))),V_4)),
% multiply(inverse(C),V_5)) <->
% multiply(inverse(multiply(V_6,V_4)),multiply(V_6,multiply(A,multiply(B,
% inverse(multiply(
% inverse(V_5),
% inverse(
% multiply(V_3,
% multiply(
% inverse(V_3),V_3)))))))))
% Current number of equations to process: 1512
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [121]
% multiply(inverse(multiply(V_6,multiply(C,multiply(V_3,inverse(multiply(
% inverse(B),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4))))))))),
% multiply(V_6,V_5)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,
% multiply(V_3,
% inverse(multiply(
% inverse(A),
% inverse(
% multiply(V_4,
% multiply(
% inverse(V_4),V_4)))))))),V_5))
% Current number of equations to process: 1512
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [122]
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,V_3))),V_4)
% <->
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% multiply(B,C),
% multiply(
% inverse(
% multiply(V_7,C)),
% multiply(V_7,C)))))))))
% Current number of equations to process: 1771
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [123]
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,
% inverse(
% multiply(
% inverse(V_4),
% inverse(
% multiply(
% multiply(B,C),
% multiply(
% Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------