TSTP Solution File: GRP435-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP435-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n146.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 00:23:06 EDT 2014
% Result : Unsatisfiable 1.49s
% Output : Refutation 1.49s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP435-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n146.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 13:23:13 CDT 2014
% % CPUTime : 1.49
% Processing problem /tmp/CiME_23917_n146.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c3,b3,a3 : constant; inverse : 1; multiply : 2;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),multiply(D,inverse(D)))) = 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 = { inverse(multiply(multiply(multiply(inverse(
% multiply(
% multiply(A,B),C)),A),B),
% multiply(D,inverse(D)))) = 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]
% inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),
% multiply(D,inverse(D)))) -> 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(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),
% multiply(D,inverse(D)))) <-> multiply(V_4,inverse(V_4))
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3] multiply(c3,inverse(c3)) <-> multiply(V_4,inverse(V_4))
% Current number of equations to process: 1
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced :
% [4] multiply(V_4,inverse(V_4)) <-> multiply(c3,inverse(c3))
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),c3),
% inverse(c3)),multiply(C,inverse(C)))) -> B
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% inverse(multiply(multiply(multiply(inverse(multiply(c3,inverse(c3))),A),B),
% multiply(C,inverse(C)))) -> inverse(multiply(A,B))
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% inverse(multiply(multiply(multiply(inverse(multiply(multiply(c3,inverse(c3)),A)),B),
% inverse(B)),multiply(C,inverse(C)))) -> A
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [8]
% multiply(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),
% multiply(D,inverse(D))),C) -> multiply(c3,inverse(c3))
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9]
% inverse(multiply(multiply(inverse(multiply(multiply(B,C),inverse(multiply(c3,
% inverse(c3))))),B),C))
% <-> multiply(A,inverse(A))
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10]
% inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),
% multiply(D,inverse(D)))) -> inverse(multiply(B,C))
% Rule
% [6]
% inverse(multiply(multiply(multiply(inverse(multiply(c3,inverse(c3))),A),B),
% multiply(C,inverse(C)))) -> inverse(multiply(A,B)) collapsed.
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11]
% inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),C),
% inverse(C)),multiply(D,inverse(D)))) -> B
% Rule
% [5]
% inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),c3),
% inverse(c3)),multiply(C,inverse(C)))) -> B collapsed.
% Rule
% [7]
% inverse(multiply(multiply(multiply(inverse(multiply(multiply(c3,inverse(c3)),A)),B),
% inverse(B)),multiply(C,inverse(C)))) -> A collapsed.
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [12]
% inverse(multiply(multiply(inverse(multiply(multiply(A,B),inverse(multiply(C,
% inverse(C))))),A),B))
% <-> multiply(D,inverse(D))
% Rule
% [9]
% inverse(multiply(multiply(inverse(multiply(multiply(B,C),inverse(multiply(c3,
% inverse(c3))))),B),C))
% <-> multiply(A,inverse(A)) collapsed.
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [13] multiply(A,inverse(A)) <-> multiply(B,inverse(B))
% Rule [3] multiply(c3,inverse(c3)) <-> multiply(V_4,inverse(V_4)) collapsed.
% Rule [4] multiply(V_4,inverse(V_4)) <-> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [14]
% inverse(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(
% multiply(c3,
% inverse(c3))))),c3),
% inverse(c3))) <-> multiply(B,inverse(B))
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [15]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(B))) <->
% multiply(C,inverse(C))
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [16]
% inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(D))),C)))) <->
% inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B))))
% Current number of equations to process: 87
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [17]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))) <->
% inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(D))),C))))
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [18]
% inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B)) <->
% inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C))))
% Current number of equations to process: 86
% Current number of ordered equations: 1
% Current number of rules: 12
% Rule [18]
% inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B)) <->
% inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C)))) is composed into
% [18]
% inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B)) <->
% inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),B))
% New rule produced :
% [19]
% inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C))))
% <-> inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B))
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [20]
% inverse(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(
% multiply(B,
% inverse(B))))),C),
% inverse(C))) <-> multiply(D,inverse(D))
% Rule
% [14]
% inverse(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(
% multiply(c3,
% inverse(c3))))),c3),
% inverse(c3))) <-> multiply(B,inverse(B)) collapsed.
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [21]
% inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),inverse(multiply(A,
% inverse(A)))))
% <-> multiply(B,inverse(B))
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [22]
% inverse(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(B,
% inverse(B)))))))
% <-> multiply(C,inverse(C))
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [23]
% multiply(D,inverse(D)) <->
% multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(B)),
% multiply(C,inverse(C)))
% Current number of equations to process: 98
% Current number of ordered equations: 1
% Current number of rules: 16
% Rule [23]
% multiply(D,inverse(D)) <->
% multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(B)),
% multiply(C,inverse(C))) is composed into [23]
% multiply(D,inverse(D)) <->
% multiply(c3,inverse(c3))
% New rule produced :
% [24]
% multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(B)),
% multiply(C,inverse(C))) <-> multiply(D,inverse(D))
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [25]
% inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))) <->
% multiply(A,inverse(A))
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [26]
% inverse(multiply(multiply(C,inverse(C)),multiply(D,inverse(D)))) <->
% inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,
% inverse(B)))))
% Current number of equations to process: 122
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [27]
% inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,
% inverse(B)))))
% <-> inverse(multiply(multiply(C,inverse(C)),multiply(D,inverse(D))))
% Rule
% [21]
% inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),inverse(multiply(A,
% inverse(A)))))
% <-> multiply(B,inverse(B)) collapsed.
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [28]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(c3,inverse(c3)))) <->
% multiply(B,inverse(B))
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [29]
% inverse(multiply(A,inverse(A))) <->
% inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),inverse(inverse(
% inverse(
% multiply(B,
% inverse(B)))))))
% Current number of equations to process: 129
% Current number of ordered equations: 1
% Current number of rules: 21
% Rule [29]
% inverse(multiply(A,inverse(A))) <->
% inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),inverse(
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))) is composed into
% [29] inverse(multiply(A,inverse(A))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [30]
% inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),inverse(inverse(
% inverse(
% multiply(B,
% inverse(B)))))))
% <-> inverse(multiply(A,inverse(A)))
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [31]
% inverse(multiply(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,
% inverse(B)))),C),
% multiply(D,inverse(D)))) -> inverse(C)
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 23
% Rule [27]
% inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(
% multiply(B,
% inverse(B)))))
% <-> inverse(multiply(multiply(C,inverse(C)),multiply(D,inverse(D)))) is composed into
% [27]
% inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,
% inverse(B)))))
% -> multiply(c3,inverse(c3))
% Rule [16]
% inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(D))),C))))
% <-> inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))) is composed into
% [16]
% inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(D))),C)))) ->
% multiply(c3,inverse(c3))
% New rule produced :
% [32]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))) ->
% multiply(c3,inverse(c3))
% Rule
% [17]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))) <->
% inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(D))),C))))
% collapsed.
% Rule
% [26]
% inverse(multiply(multiply(C,inverse(C)),multiply(D,inverse(D)))) <->
% inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,
% inverse(B)))))
% collapsed.
% Rule
% [28]
% inverse(multiply(multiply(c3,inverse(c3)),multiply(c3,inverse(c3)))) <->
% multiply(B,inverse(B)) collapsed.
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [33]
% multiply(D,inverse(D)) <->
% multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),
% multiply(C,inverse(C)))
% Current number of equations to process: 208
% Current number of ordered equations: 1
% Current number of rules: 22
% Rule [33]
% multiply(D,inverse(D)) <->
% multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),
% multiply(C,inverse(C))) is composed into [33]
% multiply(D,inverse(D)) <->
% multiply(c3,inverse(c3))
% New rule produced :
% [34]
% multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),
% multiply(C,inverse(C))) <-> multiply(D,inverse(D))
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [35]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(multiply(multiply(A,inverse(A)),B),inverse(B)),
% multiply(C,inverse(C))))
% Current number of equations to process: 206
% Current number of ordered equations: 1
% Current number of rules: 24
% Rule [35]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(multiply(multiply(multiply(A,inverse(A)),B),inverse(B)),
% multiply(C,inverse(C)))) is composed into [35]
% inverse(inverse(
% inverse(
% multiply(D,
% inverse(D)))))
% <->
% inverse(inverse(
% inverse(
% multiply(c3,
% inverse(c3)))))
% New rule produced :
% [36]
% inverse(multiply(multiply(multiply(multiply(A,inverse(A)),B),inverse(B)),
% multiply(C,inverse(C)))) <->
% inverse(inverse(inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [37]
% multiply(B,inverse(B)) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(c3))))
% Current number of equations to process: 215
% Current number of ordered equations: 1
% Current number of rules: 26
% Rule [37]
% multiply(B,inverse(B)) <->
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(c3)))) is composed into
% [37] multiply(B,inverse(B)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [38]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(c3)))) <->
% multiply(B,inverse(B))
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [39]
% inverse(multiply(C,inverse(C))) <->
% inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(inverse(
% inverse(
% multiply(B,
% inverse(B)))))))
% Current number of equations to process: 221
% Current number of ordered equations: 1
% Current number of rules: 28
% Rule [39]
% inverse(multiply(C,inverse(C))) <->
% inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(
% inverse(
% inverse(
% multiply(B,
% inverse(B))))))) is composed into
% [39] inverse(multiply(C,inverse(C))) <-> inverse(multiply(c3,inverse(c3)))
% New rule produced :
% [40]
% inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(inverse(
% inverse(
% multiply(B,
% inverse(B)))))))
% <-> inverse(multiply(C,inverse(C)))
% Rule
% [30]
% inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),inverse(inverse(
% inverse(
% multiply(B,
% inverse(B)))))))
% <-> inverse(multiply(A,inverse(A))) collapsed.
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [41]
% multiply(D,inverse(D)) <->
% multiply(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(B,
% inverse(B)))))),
% multiply(C,inverse(C)))
% Current number of equations to process: 220
% Current number of ordered equations: 1
% Current number of rules: 29
% Rule [41]
% multiply(D,inverse(D)) <->
% multiply(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(
% multiply(B,
% inverse(B)))))),
% multiply(C,inverse(C))) is composed into [41]
% multiply(D,inverse(D)) <->
% multiply(c3,inverse(c3))
% New rule produced :
% [42]
% multiply(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(B,
% inverse(B)))))),
% multiply(C,inverse(C))) <-> multiply(D,inverse(D))
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [43]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,
% inverse(B)))),
% multiply(c3,inverse(c3)))
% Current number of equations to process: 217
% Current number of ordered equations: 1
% Current number of rules: 31
% Rule [43]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(
% multiply(B,
% inverse(B)))),
% multiply(c3,inverse(c3))) is composed into [43]
% multiply(C,inverse(C)) <->
% multiply(c3,inverse(c3))
% New rule produced :
% [44]
% multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,
% inverse(B)))),
% multiply(c3,inverse(c3))) <-> multiply(C,inverse(C))
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [45]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,
% inverse(B))),
% inverse(multiply(c3,inverse(c3))))) <-> multiply(C,inverse(C))
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 33
% Rule [18]
% inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B)) <->
% inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),B)) is composed into
% [18]
% inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B)) -> inverse(B)
% New rule produced :
% [46]
% inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),A)) -> inverse(A)
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [47]
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B))))))
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 35
% Rule [35]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) is composed into
% [35]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% multiply(c3,inverse(c3))
% New rule produced :
% [48]
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) <->
% multiply(A,inverse(A))
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [49]
% multiply(C,inverse(C)) <->
% multiply(multiply(multiply(A,inverse(A)),multiply(B,inverse(B))),multiply(c3,
% inverse(c3)))
% Current number of equations to process: 238
% Current number of ordered equations: 1
% Current number of rules: 37
% Rule [49]
% multiply(C,inverse(C)) <->
% multiply(multiply(multiply(A,inverse(A)),multiply(B,inverse(B))),
% multiply(c3,inverse(c3))) is composed into [49]
% multiply(C,inverse(C)) <->
% multiply(c3,inverse(c3))
% New rule produced :
% [50]
% multiply(multiply(multiply(A,inverse(A)),multiply(B,inverse(B))),multiply(c3,
% inverse(c3)))
% <-> multiply(C,inverse(C))
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [51] inverse(inverse(multiply(c3,inverse(c3)))) -> multiply(c3,inverse(c3))
% Rule
% [46]
% inverse(multiply(inverse(inverse(multiply(c3,inverse(c3)))),A)) -> inverse(A)
% collapsed.
% Rule
% [48]
% inverse(inverse(inverse(multiply(c3,inverse(c3))))) <->
% multiply(A,inverse(A)) collapsed.
% Current number of equations to process: 239
% Current number of ordered equations: 2
% Current number of rules: 37
% Rule [39]
% inverse(multiply(C,inverse(C))) <-> inverse(multiply(c3,inverse(c3))) is composed into
% [39] inverse(multiply(C,inverse(C))) <-> multiply(c3,inverse(c3))
% Rule [29]
% inverse(multiply(A,inverse(A))) <-> inverse(multiply(c3,inverse(c3))) is composed into
% [29] inverse(multiply(A,inverse(A))) <-> multiply(c3,inverse(c3))
% New rule produced :
% [52] inverse(multiply(c3,inverse(c3))) <-> multiply(A,inverse(A))
% Rule
% [38]
% multiply(multiply(A,inverse(A)),inverse(multiply(c3,inverse(c3)))) <->
% multiply(B,inverse(B)) collapsed.
% Rule
% [45]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,
% inverse(B))),
% inverse(multiply(c3,inverse(c3))))) <-> multiply(C,inverse(C))
% collapsed.
% Rule
% [51] inverse(inverse(multiply(c3,inverse(c3)))) -> multiply(c3,inverse(c3))
% collapsed.
% Current number of equations to process: 239
% Current number of ordered equations: 2
% Current number of rules: 35
% New rule produced :
% [53] inverse(multiply(multiply(c3,inverse(c3)),A)) -> inverse(A)
% Current number of equations to process: 238
% Current number of ordered equations: 2
% Current number of rules: 36
% New rule produced :
% [54] inverse(inverse(multiply(A,inverse(A)))) <-> multiply(c3,inverse(c3))
% Current number of equations to process: 238
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [55] multiply(c3,inverse(c3)) <-> inverse(inverse(multiply(A,inverse(A))))
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [56]
% multiply(B,inverse(B)) <->
% multiply(multiply(A,inverse(A)),multiply(c3,inverse(c3)))
% Current number of equations to process: 237
% Current number of ordered equations: 1
% Current number of rules: 39
% Rule [56]
% multiply(B,inverse(B)) <->
% multiply(multiply(A,inverse(A)),multiply(c3,inverse(c3))) is composed into
% [56] multiply(B,inverse(B)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [57]
% multiply(multiply(A,inverse(A)),multiply(c3,inverse(c3))) <->
% multiply(B,inverse(B))
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [58]
% multiply(multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),A))),
% multiply(c3,inverse(c3))) -> multiply(c3,inverse(c3))
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [59]
% inverse(multiply(multiply(multiply(A,multiply(inverse(A),B)),inverse(B)),
% multiply(C,inverse(C)))) <-> multiply(D,inverse(D))
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [60]
% multiply(multiply(multiply(multiply(inverse(A),B),inverse(B)),multiply(C,
% inverse(C))),A)
% -> multiply(c3,inverse(c3))
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [61]
% inverse(multiply(multiply(multiply(c3,inverse(c3)),A),inverse(A))) <->
% multiply(B,inverse(B))
% Current number of equations to process: 240
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [62]
% inverse(multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),B),
% inverse(B))) <-> multiply(C,inverse(C))
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [63]
% inverse(multiply(multiply(multiply(inverse(A),B),inverse(B)),multiply(C,
% inverse(C)))) ->
% A
% Rule
% [11]
% inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),C),
% inverse(C)),multiply(D,inverse(D)))) -> B collapsed.
% Current number of equations to process: 240
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [64] multiply(multiply(A,inverse(A)),B) -> B
% Rule
% [19]
% inverse(multiply(multiply(multiply(A,inverse(A)),B),multiply(C,inverse(C))))
% <-> inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B)) collapsed.
% Rule
% [20]
% inverse(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),inverse(
% multiply(B,
% inverse(B))))),C),
% inverse(C))) <-> multiply(D,inverse(D)) collapsed.
% Rule
% [22]
% inverse(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(B,
% inverse(B)))))))
% <-> multiply(C,inverse(C)) collapsed.
% Rule
% [31]
% inverse(multiply(multiply(multiply(multiply(A,inverse(A)),inverse(multiply(B,
% inverse(B)))),C),
% multiply(D,inverse(D)))) -> inverse(C) collapsed.
% Rule
% [32]
% inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [36]
% inverse(multiply(multiply(multiply(multiply(A,inverse(A)),B),inverse(B)),
% multiply(C,inverse(C)))) <->
% inverse(inverse(inverse(multiply(D,inverse(D))))) collapsed.
% Rule
% [42]
% multiply(multiply(multiply(A,inverse(A)),inverse(inverse(inverse(multiply(B,
% inverse(B)))))),
% multiply(C,inverse(C))) <-> multiply(D,inverse(D)) collapsed.
% Rule
% [47]
% inverse(inverse(multiply(multiply(A,inverse(A)),inverse(multiply(B,inverse(B))))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [50]
% multiply(multiply(multiply(A,inverse(A)),multiply(B,inverse(B))),multiply(c3,
% inverse(c3)))
% <-> multiply(C,inverse(C)) collapsed.
% Rule [53] inverse(multiply(multiply(c3,inverse(c3)),A)) -> inverse(A)
% collapsed.
% Rule
% [57]
% multiply(multiply(A,inverse(A)),multiply(c3,inverse(c3))) <->
% multiply(B,inverse(B)) collapsed.
% Rule
% [61]
% inverse(multiply(multiply(multiply(c3,inverse(c3)),A),inverse(A))) <->
% multiply(B,inverse(B)) collapsed.
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [65] inverse(multiply(A,inverse(A))) <-> multiply(B,inverse(B))
% Rule
% [25]
% inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C)))) <->
% multiply(A,inverse(A)) collapsed.
% Rule
% [27]
% inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,
% inverse(B)))))
% -> multiply(c3,inverse(c3)) collapsed.
% Rule [29] inverse(multiply(A,inverse(A))) <-> multiply(c3,inverse(c3))
% collapsed.
% Rule [39] inverse(multiply(C,inverse(C))) <-> multiply(c3,inverse(c3))
% collapsed.
% Rule
% [40]
% inverse(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(inverse(
% inverse(
% multiply(B,
% inverse(B)))))))
% <-> inverse(multiply(C,inverse(C))) collapsed.
% Rule
% [44]
% multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),inverse(multiply(B,
% inverse(B)))),
% multiply(c3,inverse(c3))) <-> multiply(C,inverse(C)) collapsed.
% Rule [52] inverse(multiply(c3,inverse(c3))) <-> multiply(A,inverse(A))
% collapsed.
% Rule
% [58]
% multiply(multiply(A,inverse(multiply(inverse(multiply(B,inverse(B))),A))),
% multiply(c3,inverse(c3))) -> multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 246
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [66] multiply(B,inverse(B)) <-> inverse(multiply(A,inverse(A)))
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [67]
% inverse(multiply(C,inverse(C))) <->
% inverse(inverse(inverse(multiply(D,inverse(D)))))
% Current number of equations to process: 245
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [68]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(C,inverse(C)))
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [69] inverse(multiply(B,multiply(C,inverse(C)))) -> inverse(B)
% Rule
% [1]
% inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),
% multiply(D,inverse(D)))) -> C collapsed.
% Rule
% [2]
% inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),
% multiply(D,inverse(D)))) <-> multiply(V_4,inverse(V_4)) collapsed.
% Rule
% [10]
% inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),
% multiply(D,inverse(D)))) -> inverse(multiply(B,C)) collapsed.
% Rule
% [59]
% inverse(multiply(multiply(multiply(A,multiply(inverse(A),B)),inverse(B)),
% multiply(C,inverse(C)))) <-> multiply(D,inverse(D)) collapsed.
% Rule
% [63]
% inverse(multiply(multiply(multiply(inverse(A),B),inverse(B)),multiply(C,
% inverse(C)))) ->
% A collapsed.
% Current number of equations to process: 248
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [70] inverse(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B)) -> C
% Rule
% [12]
% inverse(multiply(multiply(inverse(multiply(multiply(A,B),inverse(multiply(C,
% inverse(C))))),A),B))
% <-> multiply(D,inverse(D)) collapsed.
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [71] inverse(multiply(multiply(inverse(A),B),inverse(B))) -> A
% Rule
% [15]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(B))) <->
% multiply(C,inverse(C)) collapsed.
% Rule
% [62]
% inverse(multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),B),
% inverse(B))) <-> multiply(C,inverse(C)) collapsed.
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [72]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),C)) ->
% inverse(multiply(B,C))
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [73]
% inverse(multiply(multiply(A,multiply(inverse(A),B)),inverse(B))) <->
% multiply(D,inverse(D))
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [74]
% inverse(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C))
% <-> multiply(V_4,inverse(V_4))
% Current number of equations to process: 240
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [75]
% multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),B),inverse(B)) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 240
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [76]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),multiply(B,
% inverse(B))),
% multiply(c3,inverse(c3)))
% Current number of equations to process: 239
% Current number of ordered equations: 1
% Current number of rules: 30
% Rule [76]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),multiply(B,
% inverse(B))),
% multiply(c3,inverse(c3))) is composed into [76]
% multiply(C,inverse(C)) <->
% multiply(c3,inverse(c3))
% New rule produced :
% [77]
% multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),multiply(B,
% inverse(B))),
% multiply(c3,inverse(c3))) <-> multiply(C,inverse(C))
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [78]
% multiply(B,inverse(B)) <->
% multiply(inverse(inverse(multiply(A,inverse(A)))),multiply(c3,inverse(c3)))
% Current number of equations to process: 239
% Current number of ordered equations: 1
% Current number of rules: 32
% Rule [78]
% multiply(B,inverse(B)) <->
% multiply(inverse(inverse(multiply(A,inverse(A)))),multiply(c3,inverse(c3))) is composed into
% [78] multiply(B,inverse(B)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [79]
% multiply(inverse(inverse(multiply(A,inverse(A)))),multiply(c3,inverse(c3)))
% <-> multiply(B,inverse(B))
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [80]
% inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))) <->
% multiply(c3,inverse(c3))
% Current number of equations to process: 244
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [81]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(inverse(multiply(A,inverse(A))))))
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [82]
% multiply(multiply(inverse(inverse(inverse(A))),multiply(B,inverse(B))),A) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [83] multiply(inverse(inverse(multiply(A,inverse(A)))),B) -> B
% Rule
% [18]
% inverse(multiply(inverse(inverse(multiply(D,inverse(D)))),B)) -> inverse(B)
% collapsed.
% Rule
% [75]
% multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),B),inverse(B)) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [77]
% multiply(multiply(inverse(inverse(multiply(A,inverse(A)))),multiply(B,
% inverse(B))),
% multiply(c3,inverse(c3))) <-> multiply(C,inverse(C)) collapsed.
% Rule
% [79]
% multiply(inverse(inverse(multiply(A,inverse(A)))),multiply(c3,inverse(c3)))
% <-> multiply(B,inverse(B)) collapsed.
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [84]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <-> multiply(B,inverse(B))
% Rule
% [35]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 251
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [85]
% multiply(B,inverse(B)) <-> inverse(inverse(inverse(multiply(A,inverse(A)))))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [86] inverse(inverse(multiply(A,inverse(A)))) <-> multiply(B,inverse(B))
% Rule
% [54] inverse(inverse(multiply(A,inverse(A)))) <-> multiply(c3,inverse(c3))
% collapsed.
% Rule
% [68]
% inverse(inverse(inverse(multiply(D,inverse(D))))) <->
% inverse(multiply(C,inverse(C))) collapsed.
% Current number of equations to process: 255
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [87] multiply(B,inverse(B)) <-> inverse(inverse(multiply(A,inverse(A))))
% Rule
% [55] multiply(c3,inverse(c3)) <-> inverse(inverse(multiply(A,inverse(A))))
% collapsed.
% Rule
% [67]
% inverse(multiply(C,inverse(C))) <->
% inverse(inverse(inverse(multiply(D,inverse(D))))) collapsed.
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [88] multiply(inverse(multiply(A,inverse(A))),B) -> B
% Rule
% [16]
% inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(D))),C)))) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [24]
% multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),inverse(B)),
% multiply(C,inverse(C))) <-> multiply(D,inverse(D)) collapsed.
% Rule
% [34]
% multiply(multiply(inverse(multiply(A,inverse(A))),multiply(B,inverse(B))),
% multiply(C,inverse(C))) <-> multiply(D,inverse(D)) collapsed.
% Rule
% [72]
% inverse(multiply(multiply(inverse(multiply(A,inverse(A))),B),C)) ->
% inverse(multiply(B,C)) collapsed.
% Current number of equations to process: 256
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [89]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(A)) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 258
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [90]
% multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),C) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [91]
% inverse(multiply(multiply(inverse(multiply(A,B)),A),B)) <->
% multiply(C,inverse(C))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [92] inverse(multiply(multiply(A,inverse(multiply(multiply(B,C),A))),B)) -> C
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [93]
% inverse(multiply(multiply(inverse(multiply(A,B)),multiply(C,inverse(C))),A))
% -> B
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [94]
% inverse(multiply(inverse(multiply(multiply(A,multiply(B,inverse(B))),C)),A))
% -> C
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 35
% Rule [81]
% multiply(c3,inverse(c3)) <->
% inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))) is composed into
% [81] multiply(c3,inverse(c3)) <-> multiply(A,inverse(A))
% New rule produced : [95] inverse(inverse(inverse(inverse(A)))) -> A
% Rule
% [80]
% inverse(inverse(inverse(inverse(multiply(A,inverse(A)))))) <->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [96]
% multiply(multiply(multiply(inverse(A),B),inverse(B)),A) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 36
% Rule [87] multiply(B,inverse(B)) <-> inverse(inverse(multiply(A,inverse(A)))) is composed into
% [87] multiply(B,inverse(B)) <-> multiply(A,inverse(A))
% Rule [85]
% multiply(B,inverse(B)) <->
% inverse(inverse(inverse(multiply(A,inverse(A))))) is composed into
% [85] multiply(B,inverse(B)) <-> inverse(multiply(A,inverse(A)))
% New rule produced : [97] inverse(inverse(A)) -> A
% Rule
% [82]
% multiply(multiply(inverse(inverse(inverse(A))),multiply(B,inverse(B))),A) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule [83] multiply(inverse(inverse(multiply(A,inverse(A)))),B) -> B
% collapsed.
% Rule
% [84]
% inverse(inverse(inverse(multiply(A,inverse(A))))) <-> multiply(B,inverse(B))
% collapsed.
% Rule [86] inverse(inverse(multiply(A,inverse(A)))) <-> multiply(B,inverse(B))
% collapsed.
% Rule [95] inverse(inverse(inverse(inverse(A)))) -> A collapsed.
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [98] multiply(A,multiply(B,inverse(B))) -> A
% Rule
% [8]
% multiply(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),
% multiply(D,inverse(D))),C) -> multiply(c3,inverse(c3)) collapsed.
% Rule
% [60]
% multiply(multiply(multiply(multiply(inverse(A),B),inverse(B)),multiply(C,
% inverse(C))),A)
% -> multiply(c3,inverse(c3)) collapsed.
% Rule [69] inverse(multiply(B,multiply(C,inverse(C)))) -> inverse(B)
% collapsed.
% Rule
% [89]
% multiply(multiply(A,multiply(B,inverse(B))),inverse(A)) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [93]
% inverse(multiply(multiply(inverse(multiply(A,B)),multiply(C,inverse(C))),A))
% -> B collapsed.
% Rule
% [94]
% inverse(multiply(inverse(multiply(multiply(A,multiply(B,inverse(B))),C)),A))
% -> C collapsed.
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [99] inverse(multiply(inverse(multiply(A,B)),A)) -> B
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [100]
% inverse(multiply(multiply(A,B),inverse(B))) <->
% multiply(multiply(inverse(A),C),inverse(C))
% Current number of equations to process: 271
% Current number of ordered equations: 1
% Current number of rules: 29
% Rule [100]
% inverse(multiply(multiply(A,B),inverse(B))) <->
% multiply(multiply(inverse(A),C),inverse(C)) is composed into [100]
% inverse(
% multiply(
% multiply(A,B),
% inverse(B)))
% <->
% inverse(
% multiply(
% multiply(A,c3),
% inverse(c3)))
% New rule produced :
% [101]
% multiply(multiply(inverse(A),C),inverse(C)) <->
% inverse(multiply(multiply(A,B),inverse(B)))
% Rule [71] inverse(multiply(multiply(inverse(A),B),inverse(B))) -> A
% collapsed.
% Rule
% [96]
% multiply(multiply(multiply(inverse(A),B),inverse(B)),A) ->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [102] multiply(multiply(A,B),inverse(B)) -> A
% Rule
% [100]
% inverse(multiply(multiply(A,B),inverse(B))) <->
% inverse(multiply(multiply(A,c3),inverse(c3))) collapsed.
% Rule
% [101]
% multiply(multiply(inverse(A),C),inverse(C)) <->
% inverse(multiply(multiply(A,B),inverse(B))) collapsed.
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [103] multiply(inverse(A),A) -> multiply(c3,inverse(c3))
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [104]
% multiply(multiply(inverse(multiply(multiply(C,D),A)),C),D) -> inverse(A)
% Rule
% [70] inverse(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B)) -> C
% collapsed.
% Rule
% [90]
% multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),C) ->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [105] inverse(multiply(multiply(inverse(A),inverse(B)),B)) -> A
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [106]
% multiply(multiply(A,multiply(inverse(A),B)),inverse(B)) ->
% multiply(c3,inverse(c3))
% Rule
% [73]
% inverse(multiply(multiply(A,multiply(inverse(A),B)),inverse(B))) <->
% multiply(D,inverse(D)) collapsed.
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [107]
% multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C) ->
% multiply(c3,inverse(c3))
% Rule
% [74]
% inverse(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C))
% <-> multiply(V_4,inverse(V_4)) collapsed.
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [108]
% multiply(multiply(inverse(A),inverse(multiply(C,inverse(C)))),A) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [109]
% multiply(multiply(inverse(multiply(A,B)),A),B) -> multiply(c3,inverse(c3))
% Rule
% [91]
% inverse(multiply(multiply(inverse(multiply(A,B)),A),B)) <->
% multiply(C,inverse(C)) collapsed.
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [110]
% multiply(multiply(multiply(A,inverse(multiply(multiply(B,C),A))),B),C) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [111] inverse(multiply(A,inverse(multiply(B,A)))) -> B
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [112]
% multiply(multiply(B,inverse(multiply(multiply(C,A),B))),C) -> inverse(A)
% Rule
% [92] inverse(multiply(multiply(A,inverse(multiply(multiply(B,C),A))),B)) -> C
% collapsed.
% Rule
% [110]
% multiply(multiply(multiply(A,inverse(multiply(multiply(B,C),A))),B),C) ->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [113] multiply(inverse(multiply(B,A)),B) -> inverse(A)
% Rule [99] inverse(multiply(inverse(multiply(A,B)),A)) -> B collapsed.
% Rule
% [109]
% multiply(multiply(inverse(multiply(A,B)),A),B) -> multiply(c3,inverse(c3))
% collapsed.
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [114] multiply(multiply(A,inverse(B)),B) -> A
% Rule [105] inverse(multiply(multiply(inverse(A),inverse(B)),B)) -> A
% collapsed.
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [115]
% multiply(inverse(multiply(multiply(C,B),A)),C) ->
% multiply(inverse(A),inverse(B))
% Rule
% [104]
% multiply(multiply(inverse(multiply(multiply(C,D),A)),C),D) -> inverse(A)
% collapsed.
% Rule
% [107]
% multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C) ->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [116]
% multiply(multiply(A,multiply(inverse(A),inverse(C))),C) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [117]
% multiply(multiply(inverse(multiply(A,B)),multiply(A,C)),inverse(C)) ->
% inverse(B)
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [118]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(B)) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [119]
% multiply(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),
% inverse(D))),D) ->
% inverse(B)
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [120] inverse(multiply(inverse(c3),inverse(multiply(A,inverse(A))))) -> c3
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [121]
% multiply(multiply(A,inverse(multiply(B,A))),B) -> multiply(c3,inverse(c3))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [122] multiply(B,inverse(multiply(A,B))) -> inverse(A)
% Rule [111] inverse(multiply(A,inverse(multiply(B,A)))) -> B collapsed.
% Rule
% [112]
% multiply(multiply(B,inverse(multiply(multiply(C,A),B))),C) -> inverse(A)
% collapsed.
% Rule
% [121]
% multiply(multiply(A,inverse(multiply(B,A))),B) -> multiply(c3,inverse(c3))
% collapsed.
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [123] multiply(inverse(A),multiply(A,B)) -> B
% Rule
% [118]
% multiply(multiply(inverse(A),multiply(A,B)),inverse(B)) ->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [124] inverse(multiply(B,A)) <-> multiply(inverse(A),inverse(B))
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [125] multiply(inverse(A),inverse(B)) <-> inverse(multiply(B,A))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [126] multiply(A,multiply(inverse(A),B)) -> B
% Rule
% [106]
% multiply(multiply(A,multiply(inverse(A),B)),inverse(B)) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [116]
% multiply(multiply(A,multiply(inverse(A),inverse(C))),C) ->
% multiply(c3,inverse(c3)) collapsed.
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [127] inverse(multiply(inverse(B),A)) <-> multiply(inverse(A),B)
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [128] multiply(inverse(A),B) <-> inverse(multiply(inverse(B),A))
% Rule [113] multiply(inverse(multiply(B,A)),B) -> inverse(A) collapsed.
% Rule
% [115]
% multiply(inverse(multiply(multiply(C,B),A)),C) ->
% multiply(inverse(A),inverse(B)) collapsed.
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [129]
% inverse(multiply(inverse(C),multiply(multiply(C,B),A))) <->
% multiply(inverse(A),inverse(B))
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [130]
% multiply(inverse(A),inverse(B)) <->
% inverse(multiply(inverse(C),multiply(multiply(C,B),A)))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [131]
% multiply(inverse(multiply(C,A)),multiply(C,B)) -> multiply(inverse(A),B)
% Rule
% [117]
% multiply(multiply(inverse(multiply(A,B)),multiply(A,C)),inverse(C)) ->
% inverse(B) collapsed.
% Rule
% [119]
% multiply(multiply(inverse(multiply(inverse(A),B)),multiply(inverse(A),
% inverse(D))),D) ->
% inverse(B) collapsed.
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [132]
% multiply(multiply(inverse(A),multiply(multiply(A,B),C)),inverse(C)) -> B
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [133]
% inverse(multiply(A,multiply(inverse(B),multiply(multiply(B,inverse(A)),C))))
% -> inverse(C)
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [134] multiply(inverse(c3),inverse(multiply(A,inverse(A)))) -> inverse(c3)
% Rule
% [120] inverse(multiply(inverse(c3),inverse(multiply(A,inverse(A))))) -> c3
% collapsed.
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 36
% Rule [85] multiply(B,inverse(B)) <-> inverse(multiply(A,inverse(A))) is composed into
% [85] multiply(B,inverse(B)) <-> multiply(A,inverse(A))
% Rule [66] multiply(B,inverse(B)) <-> inverse(multiply(A,inverse(A))) is composed into
% [66] multiply(B,inverse(B)) <-> multiply(A,inverse(A))
% New rule produced :
% [135] inverse(multiply(B,inverse(A))) <-> multiply(A,inverse(B))
% Rule [65] inverse(multiply(A,inverse(A))) <-> multiply(B,inverse(B))
% collapsed.
% Rule [88] multiply(inverse(multiply(A,inverse(A))),B) -> B collapsed.
% Rule
% [108]
% multiply(multiply(inverse(A),inverse(multiply(C,inverse(C)))),A) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [134] multiply(inverse(c3),inverse(multiply(A,inverse(A)))) -> inverse(c3)
% collapsed.
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [136] multiply(A,inverse(B)) <-> inverse(multiply(B,inverse(A)))
% Rule [102] multiply(multiply(A,B),inverse(B)) -> A collapsed.
% Rule
% [132]
% multiply(multiply(inverse(A),multiply(multiply(A,B),C)),inverse(C)) -> B
% collapsed.
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [137]
% inverse(multiply(C,inverse(multiply(inverse(A),multiply(multiply(A,B),C)))))
% -> B
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [138]
% multiply(C,inverse(C)) <->
% multiply(multiply(A,B),multiply(inverse(B),inverse(A)))
% Current number of equations to process: 263
% Current number of ordered equations: 1
% Current number of rules: 34
% Rule [138]
% multiply(C,inverse(C)) <->
% multiply(multiply(A,B),multiply(inverse(B),inverse(A))) is composed into
% [138] multiply(C,inverse(C)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [139]
% multiply(multiply(A,B),multiply(inverse(B),inverse(A))) <->
% multiply(C,inverse(C))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [140] inverse(multiply(inverse(A),inverse(B))) <-> multiply(B,A)
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [141] multiply(B,A) <-> inverse(multiply(inverse(A),inverse(B)))
% Rule [114] multiply(multiply(A,inverse(B)),B) -> A collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% inverse(multiply(inverse(c3),inverse(multiply(a3,b3)))) = multiply(a3,
% multiply(b3,c3))
%
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [142]
% multiply(multiply(inverse(A),inverse(B)),multiply(B,A)) ->
% multiply(c3,inverse(c3))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [143]
% multiply(multiply(inverse(A),inverse(B)),multiply(multiply(B,A),C)) -> C
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [144]
% inverse(multiply(multiply(C,B),A)) <->
% multiply(inverse(A),multiply(inverse(B),inverse(C)))
% Current number of equations to process: 262
% Current number of ordered equations: 3
% Current number of rules: 39
% New rule produced :
% [145]
% inverse(multiply(C,multiply(B,A))) <->
% multiply(multiply(inverse(A),inverse(B)),inverse(C))
% Current number of equations to process: 262
% Current number of ordered equations: 2
% Current number of rules: 40
% New rule produced :
% [146]
% multiply(inverse(A),multiply(inverse(B),inverse(C))) <->
% inverse(multiply(multiply(C,B),A))
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [147]
% multiply(multiply(inverse(A),inverse(B)),inverse(C)) <->
% inverse(multiply(C,multiply(B,A)))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [148]
% inverse(multiply(multiply(inverse(A),B),C)) <->
% multiply(inverse(C),multiply(inverse(B),A))
% Current number of equations to process: 265
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [149]
% multiply(inverse(C),multiply(inverse(B),A)) <->
% inverse(multiply(multiply(inverse(A),B),C))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [150]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(A),B),multiply(inverse(B),A))
% Current number of equations to process: 264
% Current number of ordered equations: 1
% Current number of rules: 45
% Rule [150]
% multiply(C,inverse(C)) <->
% multiply(multiply(inverse(A),B),multiply(inverse(B),A)) is composed into
% [150] multiply(C,inverse(C)) <-> multiply(c3,inverse(c3))
% New rule produced :
% [151]
% multiply(multiply(inverse(A),B),multiply(inverse(B),A)) <->
% multiply(C,inverse(C))
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [152]
% multiply(multiply(A,B),multiply(multiply(inverse(B),inverse(A)),C)) -> C
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [153]
% inverse(multiply(C,multiply(inverse(B),A))) <->
% multiply(multiply(inverse(A),B),inverse(C))
% Current number of equations to process: 264
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [154]
% multiply(multiply(inverse(A),B),inverse(C)) <->
% inverse(multiply(C,multiply(inverse(B),A)))
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [155]
% inverse(multiply(multiply(inverse(A),inverse(B)),C)) <->
% multiply(inverse(C),multiply(B,A))
% Current number of equations to process: 263
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [156]
% multiply(inverse(C),multiply(B,A)) <->
% inverse(multiply(multiply(inverse(A),inverse(B)),C))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [157]
% multiply(multiply(inverse(A),B),multiply(multiply(inverse(B),A),C)) -> C
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [158]
% inverse(multiply(inverse(C),multiply(B,A))) <->
% multiply(multiply(inverse(A),inverse(B)),C)
% Current number of equations to process: 263
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [159]
% multiply(multiply(inverse(A),inverse(B)),C) <->
% inverse(multiply(inverse(C),multiply(B,A)))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [160]
% inverse(multiply(inverse(C),multiply(inverse(B),A))) <->
% multiply(multiply(inverse(A),B),C)
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [161]
% multiply(multiply(inverse(A),B),C) <->
% inverse(multiply(inverse(C),multiply(inverse(B),A)))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [162]
% inverse(multiply(inverse(A),inverse(B))) <->
% multiply(inverse(C),multiply(multiply(C,B),A))
% Current number of equations to process: 269
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [163]
% multiply(inverse(C),multiply(multiply(C,B),A)) <->
% inverse(multiply(inverse(A),inverse(B)))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [164]
% inverse(multiply(inverse(A),multiply(inverse(B),C))) <->
% multiply(inverse(C),multiply(B,A))
% Current number of equations to process: 282
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [165]
% multiply(inverse(C),multiply(B,A)) <->
% inverse(multiply(inverse(A),multiply(inverse(B),C)))
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [166]
% inverse(multiply(A,multiply(multiply(inverse(A),B),C))) <->
% multiply(inverse(C),inverse(B))
% Current number of equations to process: 281
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [167]
% multiply(inverse(C),inverse(B)) <->
% inverse(multiply(A,multiply(multiply(inverse(A),B),C)))
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [168]
% multiply(multiply(multiply(A,B),C),multiply(inverse(C),inverse(B))) -> A
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [169]
% inverse(multiply(inverse(A),multiply(B,C))) <->
% multiply(inverse(C),inverse(multiply(inverse(A),B)))
% Current number of equations to process: 278
% Current number of ordered equations: 2
% Current number of rules: 64
% New rule produced :
% [170]
% inverse(multiply(C,multiply(inverse(multiply(A,C)),B))) ->
% inverse(multiply(inverse(A),B))
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [171]
% multiply(inverse(C),inverse(multiply(inverse(A),B))) <->
% inverse(multiply(inverse(A),multiply(B,C)))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [172]
% inverse(multiply(inverse(A),inverse(B))) <->
% inverse(multiply(C,inverse(multiply(B,multiply(A,C)))))
% Current number of equations to process: 277
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [173]
% inverse(multiply(C,inverse(multiply(B,multiply(A,C))))) <->
% inverse(multiply(inverse(A),inverse(B)))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [174]
% inverse(multiply(C,multiply(inverse(D),multiply(multiply(D,B),A)))) <->
% multiply(multiply(inverse(A),inverse(B)),inverse(C))
% Current number of equations to process: 275
% Current number of ordered equations: 3
% Current number of rules: 69
% New rule produced :
% [175]
% inverse(multiply(multiply(inverse(D),multiply(multiply(D,C),B)),A)) <->
% multiply(inverse(A),multiply(inverse(B),inverse(C)))
% Current number of equations to process: 275
% Current number of ordered equations: 2
% Current number of rules: 70
% New rule produced :
% [176]
% multiply(inverse(A),multiply(inverse(B),inverse(C))) <->
% inverse(multiply(multiply(inverse(D),multiply(multiply(D,C),B)),A))
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [177]
% multiply(multiply(inverse(A),inverse(B)),inverse(C)) <->
% inverse(multiply(C,multiply(inverse(D),multiply(multiply(D,B),A))))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [178]
% inverse(multiply(multiply(inverse(A),inverse(B)),C)) <->
% multiply(inverse(C),multiply(inverse(D),multiply(multiply(D,B),A)))
% Current number of equations to process: 274
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [179]
% multiply(inverse(C),multiply(inverse(D),multiply(multiply(D,B),A))) <->
% inverse(multiply(multiply(inverse(A),inverse(B)),C))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 74
% Rule [178]
% inverse(multiply(multiply(inverse(A),inverse(B)),C)) <->
% multiply(inverse(C),multiply(inverse(D),multiply(multiply(D,B),A))) is composed into
% [178]
% inverse(multiply(multiply(inverse(A),inverse(B)),C)) <->
% multiply(inverse(C),multiply(B,A))
% Rule [177]
% multiply(multiply(inverse(A),inverse(B)),inverse(C)) <->
% inverse(multiply(C,multiply(inverse(D),multiply(multiply(D,B),A)))) is composed into
% [177]
% multiply(multiply(inverse(A),inverse(B)),inverse(C)) <->
% inverse(multiply(C,multiply(B,A)))
% Rule [176]
% multiply(inverse(A),multiply(inverse(B),inverse(C))) <->
% inverse(multiply(multiply(inverse(D),multiply(multiply(D,C),B)),A)) is composed into
% [176]
% multiply(inverse(A),multiply(inverse(B),inverse(C))) <->
% inverse(multiply(multiply(C,B),A))
% Rule [162]
% inverse(multiply(inverse(A),inverse(B))) <->
% multiply(inverse(C),multiply(multiply(C,B),A)) is composed into
% [162] inverse(multiply(inverse(A),inverse(B))) <-> multiply(B,A)
% Rule [130]
% multiply(inverse(A),inverse(B)) <->
% inverse(multiply(inverse(C),multiply(multiply(C,B),A))) is composed into
% [130] multiply(inverse(A),inverse(B)) <-> inverse(multiply(B,A))
% New rule produced :
% [180] multiply(inverse(A),multiply(multiply(A,B),C)) -> multiply(B,C)
% Rule
% [129]
% inverse(multiply(inverse(C),multiply(multiply(C,B),A))) <->
% multiply(inverse(A),inverse(B)) collapsed.
% Rule
% [133]
% inverse(multiply(A,multiply(inverse(B),multiply(multiply(B,inverse(A)),C))))
% -> inverse(C) collapsed.
% Rule
% [137]
% inverse(multiply(C,inverse(multiply(inverse(A),multiply(multiply(A,B),C)))))
% -> B collapsed.
% Rule
% [163]
% multiply(inverse(C),multiply(multiply(C,B),A)) <->
% inverse(multiply(inverse(A),inverse(B))) collapsed.
% Rule
% [174]
% inverse(multiply(C,multiply(inverse(D),multiply(multiply(D,B),A)))) <->
% multiply(multiply(inverse(A),inverse(B)),inverse(C)) collapsed.
% Rule
% [175]
% inverse(multiply(multiply(inverse(D),multiply(multiply(D,C),B)),A)) <->
% multiply(inverse(A),multiply(inverse(B),inverse(C))) collapsed.
% Rule
% [179]
% multiply(inverse(C),multiply(inverse(D),multiply(multiply(D,B),A))) <->
% inverse(multiply(multiply(inverse(A),inverse(B)),C)) collapsed.
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 68
% Rule [176]
% multiply(inverse(A),multiply(inverse(B),inverse(C))) <->
% inverse(multiply(multiply(C,B),A)) is composed into [176]
% multiply(inverse(A),
% multiply(inverse(B),
% inverse(C))) <->
% inverse(multiply(C,
% multiply(B,A)))
% Rule [167]
% multiply(inverse(C),inverse(B)) <->
% inverse(multiply(A,multiply(multiply(inverse(A),B),C))) is composed into
% [167]
% multiply(inverse(C),inverse(B)) <->
% inverse(multiply(A,multiply(inverse(A),multiply(B,C))))
% Rule [160]
% inverse(multiply(inverse(C),multiply(inverse(B),A))) <->
% multiply(multiply(inverse(A),B),C) is composed into [160]
% inverse(multiply(
% inverse(C),
% multiply(
% inverse(B),A)))
% <->
% multiply(inverse(A),
% multiply(B,C))
% Rule [158]
% inverse(multiply(inverse(C),multiply(B,A))) <->
% multiply(multiply(inverse(A),inverse(B)),C) is composed into [158]
% inverse(
% multiply(
% inverse(C),
% multiply(B,A)))
% <->
% multiply(
% inverse(A),
% multiply(
% inverse(B),C))
% Rule [156]
% multiply(inverse(C),multiply(B,A)) <->
% inverse(multiply(multiply(inverse(A),inverse(B)),C)) is composed into
% [156]
% multiply(inverse(C),multiply(B,A)) <->
% inverse(multiply(inverse(A),multiply(inverse(B),C)))
% Rule [153]
% inverse(multiply(C,multiply(inverse(B),A))) <->
% multiply(multiply(inverse(A),B),inverse(C)) is composed into [153]
% inverse(
% multiply(C,
% multiply(
% inverse(B),A)))
% <->
% multiply(
% inverse(A),
% multiply(B,
% inverse(C)))
% Rule [149]
% multiply(inverse(C),multiply(inverse(B),A)) <->
% inverse(multiply(multiply(inverse(A),B),C)) is composed into [149]
% multiply(
% inverse(C),
% multiply(
% inverse(B),A))
% <->
% inverse(
% multiply(
% inverse(A),
% multiply(B,C)))
% Rule [146]
% multiply(inverse(A),multiply(inverse(B),inverse(C))) <->
% inverse(multiply(multiply(C,B),A)) is composed into [146]
% multiply(inverse(A),
% multiply(inverse(B),
% inverse(C))) <->
% inverse(multiply(C,
% multiply(B,A)))
% Rule [145]
% inverse(multiply(C,multiply(B,A))) <->
% multiply(multiply(inverse(A),inverse(B)),inverse(C)) is composed into
% [145]
% inverse(multiply(C,multiply(B,A))) <->
% multiply(inverse(A),multiply(inverse(B),inverse(C)))
% New rule produced :
% [181] multiply(multiply(A,B),C) -> multiply(A,multiply(B,C))
% Rule [64] multiply(multiply(A,inverse(A)),B) -> B collapsed.
% Rule
% [139]
% multiply(multiply(A,B),multiply(inverse(B),inverse(A))) <->
% multiply(C,inverse(C)) collapsed.
% Rule
% [142]
% multiply(multiply(inverse(A),inverse(B)),multiply(B,A)) ->
% multiply(c3,inverse(c3)) collapsed.
% Rule
% [143]
% multiply(multiply(inverse(A),inverse(B)),multiply(multiply(B,A),C)) -> C
% collapsed.
% Rule
% [144]
% inverse(multiply(multiply(C,B),A)) <->
% multiply(inverse(A),multiply(inverse(B),inverse(C))) collapsed.
% Rule
% [147]
% multiply(multiply(inverse(A),inverse(B)),inverse(C)) <->
% inverse(multiply(C,multiply(B,A))) collapsed.
% Rule
% [148]
% inverse(multiply(multiply(inverse(A),B),C)) <->
% multiply(inverse(C),multiply(inverse(B),A)) collapsed.
% Rule
% [151]
% multiply(multiply(inverse(A),B),multiply(inverse(B),A)) <->
% multiply(C,inverse(C)) collapsed.
% Rule
% [152]
% multiply(multiply(A,B),multiply(multiply(inverse(B),inverse(A)),C)) -> C
% collapsed.
% Rule
% [154]
% multiply(multiply(inverse(A),B),inverse(C)) <->
% inverse(multiply(C,multiply(inverse(B),A))) collapsed.
% Rule
% [155]
% inverse(multiply(multiply(inverse(A),inverse(B)),C)) <->
% multiply(inverse(C),multiply(B,A)) collapsed.
% Rule
% [157]
% multiply(multiply(inverse(A),B),multiply(multiply(inverse(B),A),C)) -> C
% collapsed.
% Rule
% [159]
% multiply(multiply(inverse(A),inverse(B)),C) <->
% inverse(multiply(inverse(C),multiply(B,A))) collapsed.
% Rule
% [161]
% multiply(multiply(inverse(A),B),C) <->
% inverse(multiply(inverse(C),multiply(inverse(B),A))) collapsed.
% Rule
% [166]
% inverse(multiply(A,multiply(multiply(inverse(A),B),C))) <->
% multiply(inverse(C),inverse(B)) collapsed.
% Rule
% [168]
% multiply(multiply(multiply(A,B),C),multiply(inverse(C),inverse(B))) -> A
% collapsed.
% Rule
% [177]
% multiply(multiply(inverse(A),inverse(B)),inverse(C)) <->
% inverse(multiply(C,multiply(B,A))) collapsed.
% Rule
% [178]
% inverse(multiply(multiply(inverse(A),inverse(B)),C)) <->
% multiply(inverse(C),multiply(B,A)) collapsed.
% Rule [180] multiply(inverse(A),multiply(multiply(A,B),C)) -> multiply(B,C)
% collapsed.
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [182]
% multiply(inverse(multiply(B,A)),C) ->
% multiply(inverse(A),multiply(inverse(B),C))
% Rule
% [131]
% multiply(inverse(multiply(C,A)),multiply(C,B)) -> multiply(inverse(A),B)
% collapsed.
% Rule
% [170]
% inverse(multiply(C,multiply(inverse(multiply(A,C)),B))) ->
% inverse(multiply(inverse(A),B)) collapsed.
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [183]
% inverse(multiply(A,multiply(B,inverse(C)))) <->
% multiply(C,multiply(inverse(B),inverse(A)))
% Current number of equations to process: 281
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [184]
% multiply(C,multiply(inverse(B),inverse(A))) <->
% inverse(multiply(A,multiply(B,inverse(C))))
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [185]
% inverse(multiply(A,multiply(inverse(B),inverse(C)))) <->
% multiply(C,multiply(B,inverse(A)))
% Current number of equations to process: 281
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [186]
% multiply(C,multiply(B,inverse(A))) <->
% inverse(multiply(A,multiply(inverse(B),inverse(C))))
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [187]
% inverse(multiply(inverse(C),multiply(B,inverse(A)))) <->
% multiply(A,multiply(inverse(B),C))
% Current number of equations to process: 280
% Current number of ordered equations: 1
% Current number of rules: 54
% New rule produced :
% [188]
% multiply(A,multiply(inverse(B),C)) <->
% inverse(multiply(inverse(C),multiply(B,inverse(A))))
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [189]
% inverse(multiply(inverse(A),multiply(inverse(B),inverse(C)))) <->
% multiply(C,multiply(B,A))
% Current number of equations to process: 280
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [190]
% multiply(C,multiply(B,A)) <->
% inverse(multiply(inverse(A),multiply(inverse(B),inverse(C))))
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [191]
% inverse(multiply(A,inverse(multiply(B,C)))) <->
% multiply(B,multiply(C,inverse(A)))
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 283
% Current number of ordered equations: 1
% Current number of rules: 58
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 28 rules have been used:
% [1]
% inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B),
% multiply(D,inverse(D)))) -> C; trace = in the starting set
% [2] inverse(multiply(multiply(multiply(A,multiply(inverse(multiply(multiply(B,C),A)),B)),C),
% multiply(D,inverse(D)))) <-> multiply(V_4,inverse(V_4)); trace = Self cp of 1
% [3] multiply(c3,inverse(c3)) <-> multiply(V_4,inverse(V_4)); trace = Self cp of 1
% [4] multiply(V_4,inverse(V_4)) <-> multiply(c3,inverse(c3)); trace = Self cp of 1
% [6] inverse(multiply(multiply(multiply(inverse(multiply(c3,inverse(c3))),A),B),
% multiply(C,inverse(C)))) -> inverse(multiply(A,B)); trace = Cp of 4 and 1
% [7] inverse(multiply(multiply(multiply(inverse(multiply(multiply(c3,inverse(c3)),A)),B),
% inverse(B)),multiply(C,inverse(C)))) -> A; trace = Cp of 4 and 1
% [9] inverse(multiply(multiply(inverse(multiply(multiply(B,C),inverse(
% multiply(c3,
% inverse(c3))))),B),C))
% <-> multiply(A,inverse(A)); trace = Cp of 6 and 2
% [10] inverse(multiply(multiply(multiply(inverse(multiply(A,inverse(A))),B),C),
% multiply(D,inverse(D)))) -> inverse(multiply(B,C)); trace = Cp of 6 and 3
% [11] inverse(multiply(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),B)),C),
% inverse(C)),multiply(D,inverse(D)))) -> B; trace = Cp of 7 and 3
% [12] inverse(multiply(multiply(inverse(multiply(multiply(A,B),inverse(
% multiply(C,
% inverse(C))))),A),B))
% <-> multiply(D,inverse(D)); trace = Cp of 9 and 3
% [13] multiply(A,inverse(A)) <-> multiply(B,inverse(B)); trace = Cp of 10 and 2
% [16] inverse(multiply(C,inverse(multiply(inverse(multiply(D,inverse(D))),C))))
% <-> inverse(multiply(multiply(A,inverse(A)),multiply(B,inverse(B)))); trace = Cp of 13 and 10
% [20] inverse(multiply(multiply(inverse(multiply(multiply(A,inverse(A)),
% inverse(multiply(B,inverse(B))))),C),
% inverse(C))) <-> multiply(D,inverse(D)); trace = Cp of 13 and 12
% [25] inverse(multiply(inverse(multiply(B,inverse(B))),multiply(C,inverse(C))))
% <-> multiply(A,inverse(A)); trace = Cp of 16 and 11
% [33] multiply(D,inverse(D)) <-> multiply(c3,inverse(c3)); trace = Cp of 25 and 13
% [64] multiply(multiply(A,inverse(A)),B) -> B; trace = Cp of 7 and 3
% [65] inverse(multiply(A,inverse(A))) <-> multiply(B,inverse(B)); trace = Cp of 33 and 20
% [70] inverse(multiply(multiply(inverse(multiply(multiply(A,B),C)),A),B)) -> C; trace = in the starting set
% [71] inverse(multiply(multiply(inverse(A),B),inverse(B))) -> A; trace = Cp of 33 and 1
% [97] inverse(inverse(A)) -> A; trace = Cp of 71 and 65
% [99] inverse(multiply(inverse(multiply(A,B)),A)) -> B; trace = Cp of 70 and 64
% [102] multiply(multiply(A,B),inverse(B)) -> A; trace = Cp of 33 and 1
% [113] multiply(inverse(multiply(B,A)),B) -> inverse(A); trace = Cp of 99 and 97
% [124] inverse(multiply(B,A)) <-> multiply(inverse(A),inverse(B)); trace = Cp of 113 and 102
% [125] multiply(inverse(A),inverse(B)) <-> inverse(multiply(B,A)); trace = Cp of 113 and 102
% [141] multiply(B,A) <-> inverse(multiply(inverse(A),inverse(B))); trace = Cp of 124 and 97
% [145] inverse(multiply(C,multiply(B,A))) <->
% multiply(inverse(A),multiply(inverse(B),inverse(C))); trace = Cp of 125 and 124
% [191] inverse(multiply(A,inverse(multiply(B,C)))) <->
% multiply(B,multiply(C,inverse(A))); trace = Cp of 145 and 125
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 0.380000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------