TSTP Solution File: GRP412-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP412-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n048.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 00:22:55 EDT 2014
% Result : Unsatisfiable 8.26s
% Output : Refutation 8.26s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP412-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n048.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 12:47:38 CDT 2014
% % CPUTime : 8.26
% Processing problem /tmp/CiME_5937_n048.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b1,a1 : constant; multiply : 2; inverse : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(inverse(multiply(A,inverse(B))),C))),B))) = C;
% ";
%
% let s1 = status F "
% b1 lr_lex;
% a1 lr_lex;
% multiply lr_lex;
% inverse lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > a1 > b1";
%
% let s2 = status F "
% b1 mul;
% a1 mul;
% multiply mul;
% inverse mul;
% ";
%
% let p2 = precedence F "
% multiply > inverse > a1 = b1";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " multiply(inverse(a1),a1) = multiply(inverse(b1),b1);"
% ;
% (*
% 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(multiply(multiply(
% inverse(B),B),
% inverse(multiply(
% inverse(
% multiply(A,
% inverse(B))),C))),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(inverse(a1),a1) =
% multiply(inverse(b1),b1) } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced :
% [1]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(A,
% inverse(B))),C))),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(multiply(multiply(inverse(V_3),V_3),inverse(multiply(
% inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(B))),
% inverse(V_3))),C))),V_3))
% ->
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(C)),B)))
% 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,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(B),B),
% inverse(C)),B))))
% -> C
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(B),B),
% inverse(V_3))),C))),V_3)
% Current number of equations to process: 12
% Current number of ordered equations: 1
% Current number of rules: 4
% Rule [4]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(B),B),
% inverse(V_3))),C))),V_3) is composed into
% [4]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(b1,inverse(B))),multiply(b1,inverse(multiply(C,B))))
% New rule produced :
% [5]
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(
% multiply(
% inverse(B),B),
% inverse(V_3))),C))),V_3)
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(b1,
% inverse(A))),
% multiply(b1,
% inverse(multiply(B,A)))))),A))
% -> inverse(multiply(B,A))
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [7]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(A))),
% multiply(B,inverse(multiply(C,A))))))
% -> C
% Rule
% [6]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(b1,
% inverse(A))),
% multiply(b1,
% inverse(multiply(B,A)))))),A))
% -> inverse(multiply(B,A)) collapsed.
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(C,B))))
% Rule
% [4]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(b1,inverse(B))),multiply(b1,inverse(multiply(C,B))))
% collapsed.
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [9]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% <->
% multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),inverse(B))),V_4)
% Current number of equations to process: 58
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [10]
% multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),inverse(B))),V_4)
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [11]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(inverse(multiply(V_3,inverse(V_4))),inverse(B))),
% multiply(inverse(multiply(V_3,inverse(V_4))),C))
% Current number of equations to process: 64
% Current number of ordered equations: 1
% Current number of rules: 9
% Rule [11]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(inverse(multiply(V_3,inverse(V_4))),inverse(B))),
% multiply(inverse(multiply(V_3,inverse(V_4))),C)) is composed into
% [11]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(b1,inverse(B))),multiply(b1,C))
% New rule produced :
% [12]
% multiply(inverse(multiply(inverse(multiply(V_3,inverse(V_4))),inverse(B))),
% multiply(inverse(multiply(V_3,inverse(V_4))),C)) <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C))
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [13]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(b1,
% inverse(B))),
% multiply(b1,C)))),B)))
% -> multiply(A,C)
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [14]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(b1,
% inverse(A))),
% multiply(b1,B)))),A))
% -> B
% Rule
% [13]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(b1,
% inverse(B))),
% multiply(b1,C)))),B)))
% -> multiply(A,C) collapsed.
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [15]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,C))
% Rule
% [8]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,inverse(multiply(C,B))))
% collapsed.
% Rule
% [11]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(b1,inverse(B))),multiply(b1,C)) collapsed.
% Rule
% [12]
% multiply(inverse(multiply(inverse(multiply(V_3,inverse(V_4))),inverse(B))),
% multiply(inverse(multiply(V_3,inverse(V_4))),C)) <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) collapsed.
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [16]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(A))),
% multiply(B,C)))),A))
% -> C
% Rule
% [14]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(b1,
% inverse(A))),
% multiply(b1,B)))),A))
% -> B collapsed.
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [17]
% multiply(inverse(multiply(A,B)),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C))
% Rule
% [15]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,C)) collapsed.
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [18]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),
% multiply(V_3,V_4)))
% Current number of equations to process: 235
% Current number of ordered equations: 3
% Current number of rules: 10
% New rule produced :
% [19]
% 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: 235
% Current number of ordered equations: 2
% Current number of rules: 11
% New rule produced :
% [20]
% 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: 235
% Current number of ordered equations: 1
% Current number of rules: 12
% Rule [18]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(V_3,B)),
% multiply(V_3,V_4))) is composed into
% [18]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(b1,C)),multiply(b1,multiply(A,V_4)))
% New rule produced :
% [21]
% 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)))
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [22]
% multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(multiply(C,
% inverse(B))),
% multiply(C,A)))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3))
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [23]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) <->
% multiply(inverse(multiply(b1,B)),multiply(b1,multiply(inverse(multiply(V_5,V_3)),
% multiply(V_5,V_4))))
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [24]
% multiply(inverse(multiply(b1,B)),multiply(b1,multiply(inverse(multiply(V_5,V_3)),
% multiply(V_5,V_4)))) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4))))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [25]
% multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,C))) <->
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,C)))
% Current number of equations to process: 326
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [26]
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,C)))
% <-> multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,C)))
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [27]
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,V_3))) <->
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,V_3)))
% Rule
% [25]
% multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,C))) <->
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,C)))
% collapsed.
% Rule
% [26]
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,C)))
% <-> multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,C)))
% collapsed.
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [28]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(b1,
% inverse(A))),B))),A))
% <->
% inverse(multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(
% multiply(b1,
% inverse(C))),B))),C))
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [29]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% <-> multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),B)),V_4)
% Rule
% [9]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% <->
% multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),inverse(B))),V_4)
% collapsed.
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [30]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(A))),C))),A))
% <->
% inverse(multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(
% inverse(
% multiply(B,
% inverse(V_3))),C))),V_3))
% Rule
% [28]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(b1,
% inverse(A))),B))),A))
% <->
% inverse(multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(
% multiply(b1,
% inverse(C))),B))),C))
% collapsed.
% Current number of equations to process: 386
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [31]
% multiply(inverse(multiply(V_4,multiply(B,inverse(multiply(multiply(multiply(
% inverse(C),C),
% inverse(A)),C))))),
% multiply(V_4,V_3)) ->
% multiply(inverse(A),multiply(inverse(multiply(B,inverse(C))),V_3))
% Current number of equations to process: 384
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [32]
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(V_5,C)))),multiply(V_4,
% inverse(multiply(V_3,
% multiply(V_5,C)))))
% Current number of equations to process: 383
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [33]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,C))),
% multiply(inverse(multiply(V_3,V_6)),V_4))
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [34]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) <->
% multiply(inverse(multiply(V_5,B)),multiply(V_5,multiply(inverse(multiply(V_6,V_3)),
% multiply(V_6,V_4))))
% Rule
% [23]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) <->
% multiply(inverse(multiply(b1,B)),multiply(b1,multiply(inverse(multiply(V_5,V_3)),
% multiply(V_5,V_4)))) collapsed.
% Rule
% [24]
% multiply(inverse(multiply(b1,B)),multiply(b1,multiply(inverse(multiply(V_5,V_3)),
% multiply(V_5,V_4)))) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_4)))) collapsed.
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [35]
% multiply(inverse(multiply(b1,inverse(multiply(inverse(multiply(V_3,inverse(B))),
% multiply(V_3,inverse(multiply(A,B))))))),
% multiply(b1,C)) -> multiply(inverse(A),multiply(multiply(inverse(B),B),C))
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [36]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(multiply(V_4,inverse(B))),
% multiply(V_4,inverse(multiply(A,B))))))),
% multiply(V_3,C)) -> multiply(inverse(A),multiply(multiply(inverse(B),B),C))
% Rule
% [35]
% multiply(inverse(multiply(b1,inverse(multiply(inverse(multiply(V_3,inverse(B))),
% multiply(V_3,inverse(multiply(A,B))))))),
% multiply(b1,C)) -> multiply(inverse(A),multiply(multiply(inverse(B),B),C))
% collapsed.
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [37]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(inverse(
% multiply(V_4,
% inverse(A))),
% multiply(V_4,inverse(
% multiply(C,A)))))))
% <-> multiply(inverse(multiply(multiply(inverse(A),A),B)),C)
% Current number of equations to process: 534
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [38]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),C) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(multiply(inverse(
% multiply(V_4,
% inverse(A))),
% multiply(V_4,inverse(
% multiply(C,A)))))))
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [39]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(A))),C))),A)
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(B,
% inverse(V_3))),C))),V_3)
% Rule
% [30]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(A))),C))),A))
% <->
% inverse(multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(
% inverse(
% multiply(B,
% inverse(V_3))),C))),V_3))
% collapsed.
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [40]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(multiply(multiply(
% inverse(C),C),V_3),C))))),
% multiply(A,V_4)) ->
% multiply(V_3,multiply(inverse(multiply(B,inverse(C))),V_4))
% Rule
% [31]
% multiply(inverse(multiply(V_4,multiply(B,inverse(multiply(multiply(multiply(
% inverse(C),C),
% inverse(A)),C))))),
% multiply(V_4,V_3)) ->
% multiply(inverse(A),multiply(inverse(multiply(B,inverse(C))),V_3)) collapsed.
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [41]
% multiply(inverse(multiply(B,C)),multiply(B,C)) <->
% multiply(inverse(multiply(b1,A)),multiply(b1,A))
% Current number of equations to process: 1032
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [42]
% multiply(inverse(multiply(b1,A)),multiply(b1,A)) <->
% multiply(inverse(multiply(B,C)),multiply(B,C))
% Current number of equations to process: 1032
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [43]
% multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(V_3,
% inverse(C))),
% multiply(V_3,inverse(
% multiply(A,B)))))),C)
% -> multiply(A,B)
% Current number of equations to process: 1036
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [44]
% multiply(inverse(A),A) <-> multiply(inverse(multiply(b1,B)),multiply(b1,B))
% Rule
% [41]
% multiply(inverse(multiply(B,C)),multiply(B,C)) <->
% multiply(inverse(multiply(b1,A)),multiply(b1,A)) collapsed.
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [45]
% multiply(inverse(A),A) <-> multiply(inverse(multiply(B,C)),multiply(B,C))
% Rule
% [42]
% multiply(inverse(multiply(b1,A)),multiply(b1,A)) <->
% multiply(inverse(multiply(B,C)),multiply(B,C)) collapsed.
% Rule
% [44]
% multiply(inverse(A),A) <-> multiply(inverse(multiply(b1,B)),multiply(b1,B))
% collapsed.
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [46]
% multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(b1,C)),
% multiply(b1,C)))
% Current number of equations to process: 1161
% Current number of ordered equations: 3
% Current number of rules: 26
% New rule produced :
% [47]
% multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(b1,A)),multiply(b1,A))),multiply(
% inverse(
% multiply(B,C)),
% multiply(B,C)))
% Current number of equations to process: 1161
% Current number of ordered equations: 2
% Current number of rules: 27
% Rule [46]
% multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),
% multiply(inverse(multiply(b1,C)),multiply(b1,C))) is composed into
% [46]
% multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3)) <->
% multiply(inverse(multiply(b1,b1)),multiply(b1,b1))
% New rule produced :
% [48]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(b1,C)),
% multiply(b1,C)))
% <-> multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3))
% Current number of equations to process: 1161
% Current number of ordered equations: 1
% Current number of rules: 28
% Rule [47]
% multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(b1,A)),multiply(b1,A))),
% multiply(inverse(multiply(B,C)),multiply(B,C))) is composed into
% [47]
% multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3)) <->
% multiply(inverse(multiply(b1,b1)),multiply(b1,b1))
% New rule produced :
% [49]
% multiply(inverse(multiply(inverse(multiply(b1,A)),multiply(b1,A))),multiply(
% inverse(
% multiply(B,C)),
% multiply(B,C)))
% <-> multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3))
% Current number of equations to process: 1161
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [50]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(A))),
% multiply(B,inverse(C))))),A)
% -> C
% Rule
% [43]
% multiply(multiply(multiply(inverse(C),C),inverse(multiply(inverse(multiply(V_3,
% inverse(C))),
% multiply(V_3,inverse(
% multiply(A,B)))))),C)
% -> multiply(A,B) collapsed.
% Current number of equations to process: 1164
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [51]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))),A) -> A
% Current number of equations to process: 1229
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [52]
% multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(C),V_3))
% Rule
% [40]
% multiply(inverse(multiply(A,multiply(B,inverse(multiply(multiply(multiply(
% inverse(C),C),V_3),C))))),
% multiply(A,V_4)) ->
% multiply(V_3,multiply(inverse(multiply(B,inverse(C))),V_4)) collapsed.
% Current number of equations to process: 1227
% Current number of ordered equations: 3
% Current number of rules: 30
% New rule produced :
% [53]
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))
% Current number of equations to process: 1227
% Current number of ordered equations: 2
% Current number of rules: 31
% New rule produced :
% [54]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(C),V_3))
% <-> multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3))
% Current number of equations to process: 1227
% Current number of ordered equations: 1
% Current number of rules: 32
% Rule [53]
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))) is composed into
% [53]
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A)) <->
% multiply(inverse(multiply(b1,B)),multiply(b1,A))
% New rule produced :
% [55]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A))
% Rule
% [48]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(b1,C)),
% multiply(b1,C)))
% <-> multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3)) collapsed.
% Rule
% [49]
% multiply(inverse(multiply(inverse(multiply(b1,A)),multiply(b1,A))),multiply(
% inverse(
% multiply(B,C)),
% multiply(B,C)))
% <-> multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3)) collapsed.
% Current number of equations to process: 1227
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [56]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))) <->
% multiply(inverse(multiply(b1,B)),multiply(b1,multiply(inverse(V_4),V_4)))
% Current number of equations to process: 1226
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [57]
% multiply(inverse(multiply(b1,B)),multiply(b1,multiply(inverse(V_4),V_4))) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))))
% Current number of equations to process: 1226
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [58]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% <->
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% Rule
% [32]
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(V_5,C)))),multiply(V_4,
% inverse(multiply(V_3,
% multiply(V_5,C)))))
% collapsed.
% Current number of equations to process: 1221
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [59]
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% Current number of equations to process: 1221
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [60]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(inverse(multiply(V_5,V_6)),
% multiply(V_5,V_6))))
% Current number of equations to process: 1220
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [61]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(multiply(C,V_3)),
% multiply(C,V_3)),
% inverse(V_4)),B))))
% -> V_4
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [62]
% multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(
% multiply(V_4,V_3))))))
% -> V_4
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [63]
% multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(B,C)),
% multiply(B,C)),inverse(multiply(
% inverse(multiply(A,
% inverse(V_3))),V_4))),V_3)))
% -> V_4
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [64]
% inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),
% inverse(multiply(inverse(multiply(C,inverse(V_3))),multiply(C,V_4)))),V_3))
% -> V_4
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [65]
% multiply(A,multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(
% multiply(
% multiply(
% multiply(
% inverse(C),C),A),C)))))
% <-> multiply(inverse(multiply(V_3,V_4)),multiply(V_3,V_4))
% Current number of equations to process: 1223
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [66]
% multiply(inverse(A),multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(
% multiply(B,C)),
% multiply(B,C)))),V_3))
% <-> multiply(inverse(multiply(V_4,A)),multiply(V_4,V_3))
% Current number of equations to process: 1222
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [67]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(B),B))),A)
% -> A
% Rule
% [51]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))),A) -> A
% collapsed.
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [68]
% multiply(inverse(multiply(A,B)),multiply(A,B)) <->
% multiply(inverse(multiply(inverse(multiply(C,V_3)),multiply(C,V_3))),
% multiply(inverse(V_4),V_4))
% Current number of equations to process: 1361
% Current number of ordered equations: 1
% Current number of rules: 42
% Rule [68]
% multiply(inverse(multiply(A,B)),multiply(A,B)) <->
% multiply(inverse(multiply(inverse(multiply(C,V_3)),multiply(C,V_3))),
% multiply(inverse(V_4),V_4)) is composed into [68]
% multiply(inverse(multiply(A,B)),
% multiply(A,B)) <->
% multiply(inverse(multiply(b1,b1)),
% multiply(b1,b1))
% New rule produced :
% [69]
% multiply(inverse(multiply(inverse(multiply(C,V_3)),multiply(C,V_3))),
% multiply(inverse(V_4),V_4)) <->
% multiply(inverse(multiply(A,B)),multiply(A,B))
% Current number of equations to process: 1361
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [70]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))
% Rule
% [36]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(multiply(V_4,inverse(B))),
% multiply(V_4,inverse(multiply(A,B))))))),
% multiply(V_3,C)) -> multiply(inverse(A),multiply(multiply(inverse(B),B),C))
% collapsed.
% Rule
% [52]
% multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(C),V_3))
% collapsed.
% Current number of equations to process: 1431
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [71]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C))
% Rule
% [54]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(C),V_3))
% <-> multiply(inverse(multiply(V_4,C)),multiply(V_4,V_3)) collapsed.
% Current number of equations to process: 1431
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [72]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C))
% Current number of equations to process: 1434
% Current number of ordered equations: 1
% Current number of rules: 43
% Rule [72]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A)) <->
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) is composed into
% [72]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A)) <->
% multiply(inverse(multiply(b1,B)),multiply(b1,A))
% New rule produced :
% [73]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A))
% Rule
% [55]
% multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A)) collapsed.
% Rule
% [69]
% multiply(inverse(multiply(inverse(multiply(C,V_3)),multiply(C,V_3))),
% multiply(inverse(V_4),V_4)) <->
% multiply(inverse(multiply(A,B)),multiply(A,B)) collapsed.
% Current number of equations to process: 1434
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [74]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) <->
% multiply(inverse(multiply(b1,B)),multiply(b1,multiply(inverse(V_3),V_3)))
% Rule
% [56]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))) <->
% multiply(inverse(multiply(b1,B)),multiply(b1,multiply(inverse(V_4),V_4)))
% collapsed.
% Current number of equations to process: 1438
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [75]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_3))))
% -> multiply(inverse(multiply(b1,b1)),multiply(b1,b1))
% Current number of equations to process: 1438
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [76]
% multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(V_4))))),V_3)
% -> V_4
% Current number of equations to process: 1445
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [77]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(multiply(V_4,V_5)),
% multiply(V_4,V_5))))
% Rule
% [57]
% multiply(inverse(multiply(b1,B)),multiply(b1,multiply(inverse(V_4),V_4))) <->
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))) collapsed.
% Rule
% [60]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,multiply(inverse(multiply(V_5,V_6)),
% multiply(V_5,V_6))))
% collapsed.
% Current number of equations to process: 1449
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [78]
% multiply(inverse(multiply(b1,inverse(b1))),multiply(b1,inverse(multiply(
% multiply(
% multiply(
% inverse(B),B),
% inverse(A)),b1))))
% -> A
% Current number of equations to process: 1459
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [79]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(
% multiply(C,V_3)))),
% multiply(B,inverse(multiply(V_4,
% multiply(C,V_3)))))))
% -> V_4
% Current number of equations to process: 1465
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [80]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(b1,multiply(inverse(
% multiply(B,C)),
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(b1,multiply(inverse(V_4),V_4))))
% Current number of equations to process: 1465
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [81]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(b1,multiply(inverse(b1),b1))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(b1,multiply(inverse(V_4),V_4))))
% Current number of equations to process: 1464
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [82]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(b1,multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(b1,multiply(inverse(b1),b1))))
% Rule
% [80]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(b1,multiply(inverse(
% multiply(B,C)),
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(b1,multiply(inverse(V_4),V_4))))
% collapsed.
% Current number of equations to process: 1464
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [83]
% multiply(inverse(multiply(C,inverse(V_3))),multiply(C,inverse(multiply(B,V_3))))
% <->
% multiply(inverse(multiply(b1,inverse(A))),multiply(b1,inverse(multiply(B,A))))
% Current number of equations to process: 1508
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [84]
% multiply(inverse(multiply(b1,inverse(A))),multiply(b1,inverse(multiply(B,A))))
% <->
% multiply(inverse(multiply(C,inverse(V_3))),multiply(C,inverse(multiply(B,V_3))))
% Current number of equations to process: 1508
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [85]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(C,B))))
% <->
% multiply(inverse(multiply(V_3,inverse(V_4))),multiply(V_3,inverse(multiply(C,V_4))))
% Rule
% [58]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% <->
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% collapsed.
% Rule
% [59]
% multiply(inverse(multiply(A,inverse(multiply(B,C)))),multiply(A,inverse(
% multiply(V_3,
% multiply(B,C)))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% collapsed.
% Rule
% [83]
% multiply(inverse(multiply(C,inverse(V_3))),multiply(C,inverse(multiply(B,V_3))))
% <->
% multiply(inverse(multiply(b1,inverse(A))),multiply(b1,inverse(multiply(B,A))))
% collapsed.
% Rule
% [84]
% multiply(inverse(multiply(b1,inverse(A))),multiply(b1,inverse(multiply(B,A))))
% <->
% multiply(inverse(multiply(C,inverse(V_3))),multiply(C,inverse(multiply(B,V_3))))
% collapsed.
% Current number of equations to process: 1529
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [86]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(C),C),
% inverse(V_3)),B))))
% -> V_3
% Rule
% [3]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(B),B),
% inverse(C)),B))))
% -> C collapsed.
% Rule
% [61]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(multiply(C,V_3)),
% multiply(C,V_3)),
% inverse(V_4)),B))))
% -> V_4 collapsed.
% Rule
% [78]
% multiply(inverse(multiply(b1,inverse(b1))),multiply(b1,inverse(multiply(
% multiply(
% multiply(
% inverse(B),B),
% inverse(A)),b1))))
% -> A collapsed.
% Current number of equations to process: 1531
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [87]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(C))),
% multiply(B,inverse(multiply(V_3,C))))))
% -> V_3
% Rule
% [7]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(A))),
% multiply(B,inverse(multiply(C,A))))))
% -> C collapsed.
% Rule
% [62]
% multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(
% multiply(V_4,V_3))))))
% -> V_4 collapsed.
% Rule
% [79]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(
% multiply(C,V_3)))),
% multiply(B,inverse(multiply(V_4,
% multiply(C,V_3)))))))
% -> V_4 collapsed.
% Current number of equations to process: 1536
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [88]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(A,
% inverse(C))),V_3))),C)))
% -> V_3
% Rule
% [1]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(A,
% inverse(B))),C))),B)))
% -> C collapsed.
% Rule
% [63]
% multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(B,C)),
% multiply(B,C)),inverse(multiply(
% inverse(multiply(A,
% inverse(V_3))),V_4))),V_3)))
% -> V_4 collapsed.
% Current number of equations to process: 1541
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [89]
% inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),
% inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1)))),C))
% -> inverse(C)
% Current number of equations to process: 1541
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [90]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(C))),
% multiply(B,V_3)))),C))
% -> V_3
% Rule
% [16]
% inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(A))),
% multiply(B,C)))),A))
% -> C collapsed.
% Rule
% [64]
% inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),
% inverse(multiply(inverse(multiply(C,inverse(V_3))),multiply(C,V_4)))),V_3))
% -> V_4 collapsed.
% Current number of equations to process: 1546
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [91]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(multiply(C,V_3)),
% multiply(C,V_3)))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(
% inverse(B),V_5))))
% Current number of equations to process: 1554
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [92]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(
% inverse(B),V_5))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(multiply(C,V_3)),
% multiply(C,V_3)))))
% Current number of equations to process: 1554
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [93]
% multiply(inverse(multiply(inverse(multiply(A,inverse(B))),C)),multiply(
% inverse(
% multiply(V_3,
% inverse(B))),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(A,inverse(V_5))),C)),multiply(
% inverse(
% multiply(V_3,
% inverse(V_5))),V_4))
% Current number of equations to process: 1553
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [94]
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(
% inverse(multiply(B,C)),
% multiply(B,C))),
% multiply(inverse(V_3),V_4))) <->
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% Current number of equations to process: 1548
% Current number of ordered equations: 5
% Current number of rules: 45
% New rule produced :
% [95]
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% <->
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(
% inverse(multiply(B,C)),
% multiply(B,C))),
% multiply(inverse(V_3),V_4)))
% Current number of equations to process: 1548
% Current number of ordered equations: 4
% Current number of rules: 46
% New rule produced :
% [96]
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))
% Current number of equations to process: 1548
% Current number of ordered equations: 3
% Current number of rules: 47
% New rule produced :
% [97]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))
% <->
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% Current number of equations to process: 1548
% Current number of ordered equations: 2
% Current number of rules: 48
% New rule produced :
% [98]
% multiply(inverse(multiply(V_5,multiply(V_6,C))),multiply(V_5,multiply(V_6,B)))
% <->
% multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,multiply(
% inverse(
% multiply(V_3,V_4)),
% multiply(V_3,V_4))))
% Current number of equations to process: 1548
% Current number of ordered equations: 1
% Current number of rules: 49
% Rule [98]
% multiply(inverse(multiply(V_5,multiply(V_6,C))),multiply(V_5,multiply(V_6,B)))
% <->
% multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,
% multiply(inverse(
% multiply(V_3,V_4)),
% multiply(V_3,V_4)))) is composed into
% [98]
% multiply(inverse(multiply(V_5,multiply(V_6,C))),multiply(V_5,multiply(V_6,B)))
% <->
% multiply(inverse(multiply(b1,multiply(b1,C))),multiply(b1,multiply(b1,B)))
% New rule produced :
% [99]
% multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,multiply(
% inverse(
% multiply(V_3,V_4)),
% multiply(V_3,V_4))))
% <->
% multiply(inverse(multiply(V_5,multiply(V_6,C))),multiply(V_5,multiply(V_6,B)))
% Rule
% [75]
% multiply(inverse(multiply(A,multiply(inverse(B),B))),multiply(A,multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_3))))
% -> multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) collapsed.
% Current number of equations to process: 1548
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [100]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(A))),
% multiply(B,inverse(multiply(inverse(
% multiply(C,V_3)),
% multiply(C,V_3)))))))
% -> inverse(A)
% Current number of equations to process: 1547
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [101]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,V_3))),
% multiply(inverse(multiply(C,V_6)),V_4))
% Current number of equations to process: 1545
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [102]
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,V_3))),
% multiply(inverse(multiply(C,V_6)),V_4)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),V_4))
% Current number of equations to process: 1545
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [103]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% inverse(C)),
% inverse(
% multiply(V_3,C))))
% Current number of equations to process: 1529
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced :
% [104]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% inverse(C)),
% inverse(
% multiply(V_3,C))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% Current number of equations to process: 1529
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [105]
% multiply(inverse(A),multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),B))),C))
% <-> multiply(inverse(multiply(V_3,A)),multiply(V_3,C))
% Rule
% [66]
% multiply(inverse(A),multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(
% multiply(B,C)),
% multiply(B,C)))),V_3))
% <-> multiply(inverse(multiply(V_4,A)),multiply(V_4,V_3)) collapsed.
% Current number of equations to process: 1570
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [106]
% multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(
% multiply(
% inverse(C),C))),V_3)
% -> V_3
% Rule
% [89]
% inverse(multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),
% inverse(multiply(inverse(multiply(b1,b1)),multiply(b1,b1)))),C))
% -> inverse(C) collapsed.
% Current number of equations to process: 1594
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [107]
% multiply(inverse(multiply(V_3,C)),multiply(V_3,A)) <->
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(B),B))),C)),A)
% Current number of equations to process: 1594
% Current number of ordered equations: 1
% Current number of rules: 55
% Rule [107]
% multiply(inverse(multiply(V_3,C)),multiply(V_3,A)) <->
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(B),B))),C)),A) is composed into
% [107]
% multiply(inverse(multiply(V_3,C)),multiply(V_3,A)) <->
% multiply(inverse(multiply(b1,C)),multiply(b1,A))
% New rule produced :
% [108]
% multiply(inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(B),B))),C)),A)
% <-> multiply(inverse(multiply(V_3,C)),multiply(V_3,A))
% Current number of equations to process: 1594
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [109]
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(A),multiply(
% inverse(V_3),V_3)))
% <-> multiply(inverse(multiply(b1,A)),multiply(b1,multiply(inverse(B),B)))
% Current number of equations to process: 1835
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [110]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(inverse(B),B))) <->
% multiply(inverse(multiply(inverse(C),C)),multiply(inverse(A),multiply(
% inverse(V_3),V_3)))
% Current number of equations to process: 1835
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [111]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(C),C))))
% Current number of equations to process: 1845
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [112]
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(V_5,C)),
% multiply(V_5,V_3))) <->
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,V_3)))
% Rule
% [97]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))
% <->
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% collapsed.
% Current number of equations to process: 1844
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [113]
% multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,V_3))) <->
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(V_5,C)),
% multiply(V_5,V_3)))
% Rule
% [96]
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))
% collapsed.
% Current number of equations to process: 1844
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [114]
% multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,C))) <->
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% multiply(inverse(B),C)))
% Current number of equations to process: 1840
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [115]
% multiply(inverse(multiply(V_3,multiply(inverse(V_4),V_4))),multiply(V_3,
% multiply(inverse(B),C)))
% <-> multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,C)))
% Current number of equations to process: 1840
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [116]
% multiply(inverse(multiply(b1,multiply(inverse(A),B))),multiply(b1,multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,A)))
% Current number of equations to process: 1839
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [117]
% multiply(inverse(multiply(V_3,multiply(inverse(C),B))),multiply(V_3,multiply(
% inverse(V_4),V_4)))
% <-> multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,C)))
% Rule
% [99]
% multiply(inverse(multiply(A,multiply(inverse(B),C))),multiply(A,multiply(
% inverse(
% multiply(V_3,V_4)),
% multiply(V_3,V_4))))
% <->
% multiply(inverse(multiply(V_5,multiply(V_6,C))),multiply(V_5,multiply(V_6,B)))
% collapsed.
% Rule
% [116]
% multiply(inverse(multiply(b1,multiply(inverse(A),B))),multiply(b1,multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,multiply(V_4,B))),multiply(V_3,multiply(V_4,A)))
% collapsed.
% Current number of equations to process: 1838
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [118]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(
% inverse(B),B)),
% multiply(inverse(inverse(A)),
% inverse(C))))),A) -> C
% Current number of equations to process: 1833
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [119]
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% multiply(inverse(C),V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,C)),
% multiply(B,V_3)))
% Current number of equations to process: 1836
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [120]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(B,C)),
% multiply(B,V_3))) <->
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,
% multiply(inverse(C),V_3)))
% Current number of equations to process: 1836
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [121]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(inverse(V_4),V_4))))
% Rule
% [81]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(b1,multiply(inverse(b1),b1))))
% <->
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(b1,multiply(inverse(V_4),V_4))))
% collapsed.
% Rule
% [111]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(V_3),V_3))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(C),C))))
% collapsed.
% Current number of equations to process: 1852
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [122]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(B,multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(C),C))))
% Rule
% [82]
% multiply(inverse(multiply(V_3,A)),multiply(V_3,multiply(b1,multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(b1,multiply(inverse(b1),b1))))
% collapsed.
% Current number of equations to process: 1852
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [123]
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(A),multiply(B,
% multiply(
% inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(C),C))))
% Current number of equations to process: 1873
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [124]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(C),C))))
% <->
% multiply(inverse(multiply(inverse(V_3),V_3)),multiply(inverse(A),multiply(B,
% multiply(
% inverse(V_4),V_4))))
% Current number of equations to process: 1873
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [125]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% <->
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(multiply(V_3,C)),V_4))
% Rule
% [102]
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,V_3))),
% multiply(inverse(multiply(C,V_6)),V_4)) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),V_4))
% collapsed.
% Current number of equations to process: 1871
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [126]
% multiply(inverse(multiply(inverse(V_5),V_5)),multiply(inverse(multiply(V_3,C)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(V_3,B)),V_4))
% Rule
% [101]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% multiply(C,V_3)),V_4))
% <->
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,V_3))),
% multiply(inverse(multiply(C,V_6)),V_4)) collapsed.
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [127]
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,V_3)))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(B),B)),
% multiply(inverse(C),V_3)))
% Rule
% [95]
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% <->
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(
% inverse(multiply(B,C)),
% multiply(B,C))),
% multiply(inverse(V_3),V_4)))
% collapsed.
% Current number of equations to process: 1867
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [128]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(B),B)),
% multiply(inverse(C),V_3))) <->
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,V_3)))
% Rule
% [94]
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(
% inverse(multiply(B,C)),
% multiply(B,C))),
% multiply(inverse(V_3),V_4))) <->
% multiply(inverse(multiply(V_5,multiply(V_6,V_3))),multiply(V_5,multiply(V_6,V_4)))
% collapsed.
% Current number of equations to process: 1867
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [129]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),B)),multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))
% -> multiply(inverse(multiply(b1,B)),multiply(b1,multiply(inverse(V_3),V_4)))
% Current number of equations to process: 1867
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [130]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(
% inverse(V_3),V_3)),V_4))
% -> multiply(inverse(multiply(b1,multiply(inverse(B),C))),multiply(b1,V_4))
% Current number of equations to process: 1867
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [131]
% multiply(inverse(multiply(b1,multiply(inverse(V_4),V_4))),multiply(b1,V_3))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(
% inverse(C),B)),V_3))
% Current number of equations to process: 1862
% Current number of ordered equations: 1
% Current number of rules: 68
% Rule [131]
% multiply(inverse(multiply(b1,multiply(inverse(V_4),V_4))),multiply(b1,V_3))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),
% multiply(inverse(multiply(inverse(C),B)),V_3)) is composed into
% [131]
% multiply(inverse(multiply(b1,multiply(inverse(V_4),V_4))),multiply(b1,V_3))
% <-> multiply(inverse(multiply(b1,multiply(inverse(b1),b1))),multiply(b1,V_3))
% New rule produced :
% [132]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),multiply(
% inverse(
% multiply(
% inverse(C),B)),V_3))
% <->
% multiply(inverse(multiply(b1,multiply(inverse(V_4),V_4))),multiply(b1,V_3))
% Current number of equations to process: 1862
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [133]
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(
% inverse(b1),b1)),V_3))
% <->
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,V_3))
% Current number of equations to process: 1861
% Current number of ordered equations: 1
% Current number of rules: 70
% Rule [131]
% multiply(inverse(multiply(b1,multiply(inverse(V_4),V_4))),multiply(b1,V_3))
% <->
% multiply(inverse(multiply(b1,multiply(inverse(b1),b1))),multiply(b1,V_3)) is composed into
% [131]
% multiply(inverse(multiply(b1,multiply(inverse(V_4),V_4))),multiply(b1,V_3))
% <->
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(
% inverse(b1),b1)),V_3))
% New rule produced :
% [134]
% multiply(inverse(multiply(V_4,multiply(inverse(V_5),V_5))),multiply(V_4,V_3))
% <->
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(
% inverse(b1),b1)),V_3))
% Current number of equations to process: 1861
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [135]
% multiply(inverse(multiply(C,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(C,multiply(V_3,B))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(A),A)),
% multiply(inverse(multiply(inverse(A),A)),B)))
% Current number of equations to process: 1859
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [136]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(multiply(inverse(A),A)),
% multiply(inverse(multiply(inverse(A),A)),B)))
% <->
% multiply(inverse(multiply(C,multiply(V_3,multiply(inverse(V_4),V_4)))),
% multiply(C,multiply(V_3,B)))
% Current number of equations to process: 1859
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [137]
% multiply(inverse(multiply(C,multiply(V_3,A))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(b1,multiply(b1,A))),multiply(b1,multiply(b1,
% multiply(inverse(B),B))))
% Current number of equations to process: 1858
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [138]
% multiply(inverse(multiply(b1,multiply(b1,A))),multiply(b1,multiply(b1,
% multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(C,multiply(V_3,A))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% Current number of equations to process: 1858
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [139]
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),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: 1852
% Current number of ordered equations: 3
% Current number of rules: 76
% New rule produced :
% [140]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),V_3)),
% multiply(inverse(B),V_4)))
% Current number of equations to process: 1852
% Current number of ordered equations: 2
% Current number of rules: 77
% New rule produced :
% [141]
% multiply(inverse(multiply(V_5,multiply(V_3,C))),multiply(V_5,V_4)) <->
% multiply(inverse(multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),C))),
% multiply(inverse(multiply(V_3,B)),V_4))
% Current number of equations to process: 1852
% Current number of ordered equations: 1
% Current number of rules: 78
% Rule [140]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),V_3)),
% multiply(inverse(B),V_4))) is composed into
% [140]
% multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4))) <->
% multiply(inverse(multiply(b1,C)),multiply(b1,multiply(A,V_4)))
% New rule produced :
% [142]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),multiply(inverse(
% multiply(
% inverse(V_3),V_3)),
% multiply(inverse(B),V_4)))
% <-> multiply(inverse(multiply(V_5,C)),multiply(V_5,multiply(A,V_4)))
% Current number of equations to process: 1852
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [143]
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(
% inverse(b1),b1)),V_3))
% <->
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(
% inverse(V_5),V_5)),V_3))
% Current number of equations to process: 1838
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [144]
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(
% inverse(V_5),V_5)),V_3))
% <->
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(
% inverse(b1),b1)),V_3))
% Current number of equations to process: 1838
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [145]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(C))),
% multiply(B,inverse(V_3))))),C)
% -> V_3
% Rule
% [50]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,
% inverse(A))),
% multiply(B,inverse(C))))),A)
% -> C collapsed.
% Rule
% [76]
% multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(
% multiply(
% inverse(
% multiply(C,
% inverse(V_3))),
% multiply(C,
% inverse(V_4))))),V_3)
% -> V_4 collapsed.
% Current number of equations to process: 1840
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [146]
% multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% <->
% multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,multiply(
% inverse(b1),b1))))
% Current number of equations to process: 1851
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [147]
% multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,multiply(
% inverse(b1),b1))))
% <->
% multiply(inverse(multiply(C,multiply(V_3,B))),multiply(C,multiply(V_3,
% multiply(inverse(V_4),V_4))))
% Current number of equations to process: 1851
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [148]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(multiply(V_4,V_5)),
% multiply(V_4,V_5)))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% Current number of equations to process: 1904
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [149]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(multiply(V_4,V_5)),
% multiply(V_4,V_5))))
% Current number of equations to process: 1904
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [150]
% multiply(inverse(multiply(V_3,inverse(V_4))),multiply(V_3,inverse(multiply(C,V_4))))
% <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(C,B))))
% Rule
% [103]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% inverse(C)),
% inverse(
% multiply(V_3,C))))
% collapsed.
% Current number of equations to process: 1961
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [151]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(C,B)))) <->
% multiply(inverse(multiply(V_3,inverse(V_4))),multiply(V_3,inverse(multiply(C,V_4))))
% Rule
% [104]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,B))),multiply(
% inverse(
% inverse(C)),
% inverse(
% multiply(V_3,C))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(V_3,V_5))))
% collapsed.
% Current number of equations to process: 1961
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [152]
% multiply(multiply(multiply(inverse(A),A),inverse(B)),A) <->
% multiply(multiply(multiply(inverse(C),C),inverse(B)),A)
% Current number of equations to process: 1963
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [153]
% multiply(multiply(multiply(inverse(C),C),inverse(B)),A) <->
% multiply(multiply(multiply(inverse(A),A),inverse(B)),A)
% Current number of equations to process: 1963
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [154]
% multiply(inverse(multiply(b1,multiply(A,multiply(inverse(B),B)))),multiply(b1,
% multiply(A,
% multiply(
% inverse(b1),b1))))
% -> multiply(inverse(multiply(b1,b1)),multiply(b1,b1))
% Current number of equations to process: 1969
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [155]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C))) <->
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),multiply(multiply(
% inverse(V_4),V_4),
% inverse(C)))
% Current number of equations to process: 1981
% Current number of ordered equations: 1
% Current number of rules: 88
% Rule [155]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C))) <->
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),multiply(
% multiply(
% inverse(V_4),V_4),
% inverse(C))) is composed into
% [155]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C))) <->
% multiply(inverse(multiply(b1,B)),multiply(b1,inverse(C)))
% New rule produced :
% [156]
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),multiply(multiply(
% inverse(V_4),V_4),
% inverse(C))) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))
% Current number of equations to process: 1981
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [157]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(inverse(B)),
% inverse(multiply(multiply(multiply(
% inverse(C),C),
% inverse(V_3)),B))))
% -> V_3
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [158]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),C) <->
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),C)
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [159]
% multiply(multiply(inverse(C),C),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C))))
% Rule
% [106]
% multiply(multiply(multiply(inverse(multiply(A,B)),multiply(A,B)),inverse(
% multiply(
% inverse(C),C))),V_3)
% -> V_3 collapsed.
% Current number of equations to process: 2046
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [160]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,A)),
% multiply(B,A)))),V_3) -> V_3
% Current number of equations to process: 2045
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [161]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))) <->
% multiply(multiply(inverse(C),C),inverse(multiply(inverse(V_3),V_3)))
% Rule
% [160]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,A)),
% multiply(B,A)))),V_3) -> V_3
% collapsed.
% Current number of equations to process: 2046
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [162]
% multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(b1),b1))),V_3)
% -> V_3
% Current number of equations to process: 2045
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [163]
% multiply(multiply(inverse(C),C),inverse(B)) <->
% multiply(multiply(inverse(A),A),inverse(B))
% Rule
% [152]
% multiply(multiply(multiply(inverse(A),A),inverse(B)),A) <->
% multiply(multiply(multiply(inverse(C),C),inverse(B)),A) collapsed.
% Rule
% [153]
% multiply(multiply(multiply(inverse(C),C),inverse(B)),A) <->
% multiply(multiply(multiply(inverse(A),A),inverse(B)),A) collapsed.
% Current number of equations to process: 2052
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [164]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(inverse(B),B)),
% multiply(inverse(inverse(C)),
% inverse(multiply(V_3,C)))))) -> V_3
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [165]
% multiply(b1,inverse(multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(
% multiply(b1,b1)),
% multiply(b1,b1)))),B)))
% -> multiply(b1,inverse(B))
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 94
% Rule [154]
% multiply(inverse(multiply(b1,multiply(A,multiply(inverse(B),B)))),
% multiply(b1,multiply(A,multiply(inverse(b1),b1)))) ->
% multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) is composed into
% [154]
% multiply(inverse(multiply(b1,multiply(A,multiply(inverse(B),B)))),multiply(b1,
% multiply(A,
% multiply(
% inverse(b1),b1))))
% -> multiply(inverse(b1),b1)
% Rule [149]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(
% multiply(V_4,V_5)),
% multiply(V_4,V_5)))) is composed into
% [149]
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% <-> multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(b1),b1)))
% Rule [92]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(
% multiply(
% inverse(B),V_5))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_3))))) is composed into
% [92]
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(
% inverse(B),V_5))))
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(b1),b1))))
% Rule [77]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(
% multiply(V_4,V_5)),
% multiply(V_4,V_5)))) is composed into
% [77]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(inverse(C),C))) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(b1),b1)))
% Rule [65]
% multiply(A,multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(
% multiply(
% multiply(
% multiply(
% inverse(C),C),A),C)))))
% <-> multiply(inverse(multiply(V_3,V_4)),multiply(V_3,V_4)) is composed into
% [65]
% multiply(A,multiply(inverse(multiply(B,inverse(C))),multiply(B,inverse(
% multiply(
% multiply(
% multiply(
% inverse(C),C),A),C)))))
% -> multiply(inverse(b1),b1)
% New rule produced : [166] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% Rule
% [45]
% multiply(inverse(A),A) <-> multiply(inverse(multiply(B,C)),multiply(B,C))
% collapsed.
% Rule
% [46]
% multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3)) <->
% multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) collapsed.
% Rule
% [47]
% multiply(inverse(multiply(b1,V_3)),multiply(b1,V_3)) <->
% multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) collapsed.
% Rule
% [68]
% multiply(inverse(multiply(A,B)),multiply(A,B)) <->
% multiply(inverse(multiply(b1,b1)),multiply(b1,b1)) collapsed.
% Rule
% [91]
% multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% inverse(multiply(C,V_3)),
% multiply(C,V_3)))))
% <->
% multiply(inverse(multiply(V_4,inverse(V_5))),multiply(V_4,inverse(multiply(
% inverse(B),V_5))))
% collapsed.
% Rule
% [100]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,inverse(A))),
% multiply(B,inverse(multiply(inverse(
% multiply(C,V_3)),
% multiply(C,V_3)))))))
% -> inverse(A) collapsed.
% Rule
% [143]
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(
% inverse(b1),b1)),V_3))
% <->
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(
% inverse(V_5),V_5)),V_3))
% collapsed.
% Rule
% [144]
% multiply(inverse(multiply(inverse(V_4),V_4)),multiply(inverse(multiply(
% inverse(V_5),V_5)),V_3))
% <->
% multiply(inverse(multiply(inverse(b1),b1)),multiply(inverse(multiply(
% inverse(b1),b1)),V_3))
% collapsed.
% Rule
% [148]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,multiply(inverse(multiply(V_4,V_5)),
% multiply(V_4,V_5)))) <->
% multiply(inverse(multiply(inverse(A),A)),multiply(inverse(B),multiply(
% inverse(C),C)))
% collapsed.
% Rule
% [158]
% multiply(inverse(multiply(multiply(inverse(A),A),B)),C) <->
% multiply(inverse(multiply(multiply(inverse(V_3),V_3),B)),C) collapsed.
% Rule
% [159]
% multiply(multiply(inverse(C),C),inverse(multiply(inverse(V_3),V_3))) <->
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))) collapsed.
% Rule
% [161]
% multiply(multiply(inverse(A),A),inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))) <->
% multiply(multiply(inverse(C),C),inverse(multiply(inverse(V_3),V_3)))
% collapsed.
% Rule
% [163]
% multiply(multiply(inverse(C),C),inverse(B)) <->
% multiply(multiply(inverse(A),A),inverse(B)) collapsed.
% Rule
% [165]
% multiply(b1,inverse(multiply(multiply(multiply(inverse(A),A),inverse(
% multiply(
% inverse(
% multiply(b1,b1)),
% multiply(b1,b1)))),B)))
% -> multiply(b1,inverse(B)) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 2101
% Current number of ordered equations: 0
% Current number of rules: 81
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 22 rules have been used:
% [1]
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(A,
% inverse(B))),C))),B)))
% -> C; trace = in the starting set
% [2] inverse(multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(
% inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(B))),
% inverse(V_3))),C))),V_3))
% ->
% multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(C)),B))); trace = Self cp of 1
% [3] multiply(inverse(multiply(A,inverse(B))),multiply(A,inverse(multiply(
% multiply(
% multiply(
% inverse(B),B),
% inverse(C)),B))))
% -> C; trace = Cp of 2 and 1
% [9] multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% <->
% multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),inverse(B))),V_4); trace = Cp of 3 and 2
% [10] multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),inverse(B))),V_4)
% <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,multiply(C,inverse(
% multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3))))); trace = Cp of 3 and 2
% [11] multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(b1,inverse(B))),multiply(b1,C)); trace = Cp of 9 and 1
% [12] multiply(inverse(multiply(inverse(multiply(V_3,inverse(V_4))),inverse(B))),
% multiply(inverse(multiply(V_3,inverse(V_4))),C)) <->
% multiply(inverse(multiply(A,inverse(B))),multiply(A,C)); trace = Cp of 9 and 1
% [14] inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(
% multiply(b1,
% inverse(A))),
% multiply(b1,B)))),A))
% -> B; trace = Cp of 11 and 2
% [15] multiply(inverse(multiply(A,inverse(B))),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,inverse(B))),multiply(V_3,C)); trace = Cp of 12 and 10
% [16] inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(
% multiply(B,
% inverse(A))),
% multiply(B,C)))),A))
% -> C; trace = Cp of 15 and 2
% [17] multiply(inverse(multiply(A,B)),multiply(A,C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)); trace = Cp of 16 and 15
% [22] multiply(A,multiply(multiply(multiply(inverse(B),B),inverse(multiply(
% inverse(
% multiply(C,
% inverse(B))),
% multiply(C,A)))),V_3))
% <-> multiply(inverse(multiply(V_4,B)),multiply(V_4,V_3)); trace = Cp of 17 and 16
% [29] multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% multiply(
% multiply(
% inverse(V_3),V_3),
% inverse(V_4)),V_3)))))
% <-> multiply(inverse(multiply(inverse(multiply(C,inverse(V_3))),B)),V_4); trace = Cp of 14 and 9
% [30] inverse(multiply(multiply(multiply(inverse(A),A),inverse(multiply(
% inverse(
% multiply(B,
% inverse(A))),C))),A))
% <->
% inverse(multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(
% inverse(
% multiply(B,
% inverse(V_3))),C))),V_3)); trace = Cp of 16 and 1
% [39] multiply(multiply(multiply(inverse(A),A),inverse(multiply(inverse(
% multiply(B,
% inverse(A))),C))),A)
% <->
% multiply(multiply(multiply(inverse(V_3),V_3),inverse(multiply(inverse(
% multiply(B,
% inverse(V_3))),C))),V_3); trace = Cp of 30 and 3
% [42] multiply(inverse(multiply(b1,A)),multiply(b1,A)) <->
% multiply(inverse(multiply(B,C)),multiply(B,C)); trace = Cp of 39 and 22
% [45] multiply(inverse(A),A) <->
% multiply(inverse(multiply(B,C)),multiply(B,C)); trace = Cp of 42 and 29
% [55] multiply(inverse(multiply(inverse(A),B)),multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,A)); trace = Cp of 45 and 17
% [63] multiply(A,inverse(multiply(multiply(multiply(inverse(multiply(B,C)),
% multiply(B,C)),inverse(multiply(
% inverse(
% multiply(A,
% inverse(V_3))),V_4))),V_3)))
% -> V_4; trace = Cp of 45 and 1
% [73] multiply(inverse(multiply(inverse(A),B)),multiply(inverse(C),C)) <->
% multiply(inverse(multiply(V_3,B)),multiply(V_3,A)); trace = Cp of 55 and 29
% [88] multiply(A,inverse(multiply(multiply(multiply(inverse(B),B),inverse(
% multiply(
% inverse(
% multiply(A,
% inverse(C))),V_3))),C)))
% -> V_3; trace = Cp of 63 and 29
% [166] multiply(inverse(B),B) <-> multiply(inverse(A),A); trace = Cp of 88 and 73
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 7.120000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------