%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP439-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n090.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 00:23:07 EDT 2014
% Result : Unsatisfiable 2.78s
% Output : Refutation 2.78s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP439-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n090.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 13:29:48 CDT 2014
% % CPUTime : 2.78
% Processing problem /tmp/CiME_49161_n090.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b1,a1 : constant; multiply : 2; inverse : 1;";
% let X = vars "A B C D";
% let Axioms = equations F X "
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,multiply(A,C))))))) = D;
% ";
%
% 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 = { inverse(multiply(A,multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(A,C)))))))
% = D } (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]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(D,
% multiply(A,C)))))))
% -> D
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced :
% [2]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(multiply(D,
% multiply(V_4,C))))),D))))
% -> V_4
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [3]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> C
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [4]
% inverse(multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,
% multiply(B,D)))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [5]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(
% multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),D))))
% -> C
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [6]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(C,D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% <->
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8))))))
% Rule
% [3]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> C collapsed.
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced :
% [7]
% multiply(b1,multiply(b1,multiply(multiply(inverse(b1),b1),inverse(multiply(
% inverse(C),
% multiply(b1,b1))))))
% -> C
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% multiply(b1,multiply(b1,multiply(multiply(inverse(b1),b1),inverse(multiply(C,
% multiply(b1,b1))))))
% <->
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8))))))
% Current number of equations to process: 66
% Current number of ordered equations: 1
% Current number of rules: 7
% New rule produced :
% [9]
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8))))))
% <->
% multiply(b1,multiply(b1,multiply(multiply(inverse(b1),b1),inverse(multiply(C,
% multiply(b1,b1))))))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% ->
% multiply(b1,multiply(b1,multiply(multiply(inverse(b1),b1),inverse(multiply(A,
% multiply(b1,b1))))))
% Rule
% [2]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),C),
% inverse(multiply(D,
% multiply(V_4,C))))),D))))
% -> V_4 collapsed.
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [11]
% inverse(multiply(b1,multiply(A,multiply(multiply(inverse(A),multiply(b1,
% multiply(
% multiply(
% inverse(b1),b1),
% inverse(multiply(
% inverse(B),
% multiply(b1,b1)))))),
% inverse(multiply(C,B)))))) -> C
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [12]
% multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(
% inverse(A),
% multiply(B,D))))))
% -> A
% Rule
% [7]
% multiply(b1,multiply(b1,multiply(multiply(inverse(b1),b1),inverse(multiply(
% inverse(C),
% multiply(b1,b1))))))
% -> C collapsed.
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [13]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,
% multiply(A,C))))))
% <->
% multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(
% multiply(D,
% multiply(V_4,V_6))))))
% Rule
% [8]
% multiply(b1,multiply(b1,multiply(multiply(inverse(b1),b1),inverse(multiply(C,
% multiply(b1,b1))))))
% <->
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8))))))
% collapsed.
% Rule
% [9]
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8))))))
% <->
% multiply(b1,multiply(b1,multiply(multiply(inverse(b1),b1),inverse(multiply(C,
% multiply(b1,b1))))))
% collapsed.
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [14]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> C
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [15]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),V_5),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_5)))))))))))
% -> D
% Current number of equations to process: 241
% Current number of ordered equations: 1
% Current number of rules: 10
% New rule produced :
% [16]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(
% inverse(V_4),
% multiply(A,D)))))),
% inverse(multiply(inverse(V_5),V_4))))) -> V_5
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [17]
% multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,multiply(B,D)))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [18]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(C),B)))))
% -> C
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 13
% Rule [10]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% ->
% multiply(b1,multiply(b1,multiply(multiply(inverse(b1),b1),inverse(
% multiply(A,
% multiply(b1,b1)))))) is composed into
% [10]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% -> multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(A,b1)))))
% Rule [6]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% multiply(
% inverse(A),
% multiply(
% multiply(C,D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% <->
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8)))))) is composed into
% [6]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(C,D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(C,b1)))))
% New rule produced :
% [19]
% multiply(D,multiply(V_4,multiply(multiply(inverse(V_4),V_5),inverse(multiply(C,
% multiply(D,V_5))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% Rule
% [1]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(D,
% multiply(A,C)))))))
% -> D collapsed.
% Rule
% [4]
% inverse(multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,
% multiply(B,D)))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6 collapsed.
% Rule
% [12]
% multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(
% inverse(A),
% multiply(B,D))))))
% -> A collapsed.
% Rule
% [13]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(multiply(D,
% multiply(A,C))))))
% <->
% multiply(V_4,multiply(V_5,multiply(multiply(inverse(V_5),V_6),inverse(
% multiply(D,
% multiply(V_4,V_6))))))
% collapsed.
% Rule
% [17]
% multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(inverse(C),D),
% inverse(multiply(V_4,multiply(B,D)))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6 collapsed.
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [20]
% inverse(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(D,b1))))))
% -> D
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [21]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(V_4,
% inverse(multiply(
% inverse(C),V_4)))))))))))
% -> D
% Current number of equations to process: 465
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced :
% [22]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(inverse(V_4),C))))),D)))
% -> V_4
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [23]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),C)))),
% inverse(D)))) -> B
% Current number of equations to process: 499
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [24]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D)))))) -> V_4
% Current number of equations to process: 501
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [25]
% inverse(multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,
% inverse(
% multiply(V_4,b1))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6
% Current number of equations to process: 500
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [26]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(V_4,b1))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6
% Current number of equations to process: 499
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [27]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(A,b1))))),
% multiply(V_4,inverse(multiply(inverse(V_5),V_4))))) -> V_5
% Current number of equations to process: 498
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [28]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(
% inverse(D),C)))),
% inverse(D)))) -> A
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [29]
% multiply(inverse(A),multiply(A,multiply(multiply(b1,multiply(b1,inverse(
% multiply(B,b1)))),B)))
% -> b1
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [30]
% multiply(b1,multiply(A,multiply(multiply(inverse(A),multiply(b1,inverse(
% multiply(B,b1)))),B)))
% -> b1
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [31]
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(C,b1))))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% Current number of equations to process: 566
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [32]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(C,b1)))))
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [33]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% Current number of equations to process: 567
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [34]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(D,V_6)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% Current number of equations to process: 567
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [35]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))))),
% inverse(multiply(V_5,V_4)))),V_5)))
% -> C
% Current number of equations to process: 565
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [36]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(inverse(C)),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> C
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [37]
% multiply(b1,multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(
% multiply(
% inverse(B),
% multiply(b1,
% inverse(
% multiply(C,b1)))),C))),
% inverse(multiply(inverse(D),b1))))) -> D
% Current number of equations to process: 564
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [38]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(b1,
% inverse(multiply(C,b1)))),C)),
% inverse(b1)))) ->
% multiply(b1,multiply(b1,multiply(b1,inverse(multiply(b1,multiply(b1,multiply(b1,
% multiply(b1,
% inverse(
% multiply(
% inverse(b1),b1))))))))))
% Current number of equations to process: 563
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [39]
% inverse(multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))))
% -> C
% Rule
% [20]
% inverse(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(D,b1))))))
% -> D collapsed.
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [40]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_4)))),
% inverse(V_5))))))))))
% -> D
% Current number of equations to process: 607
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [41]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(B,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D)))
% -> V_4
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [42]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(
% inverse(V_4)))))
% -> V_4
% Current number of equations to process: 670
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [43]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(
% inverse(V_4),B))))))),D)
% -> V_4
% Current number of equations to process: 670
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [44]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,C)))),D)))
% -> B
% Rule
% [23]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(
% inverse(D),C)))),
% inverse(D)))) -> B collapsed.
% Rule
% [29]
% multiply(inverse(A),multiply(A,multiply(multiply(b1,multiply(b1,inverse(
% multiply(B,b1)))),B)))
% -> b1 collapsed.
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [45]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% multiply(D,
% inverse(multiply(
% inverse(V_4),D))))),
% inverse(multiply(V_5,V_4)))),V_5)))
% -> C
% Current number of equations to process: 676
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [46]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),D))))),V_4)),
% inverse(V_5)))) -> B
% Current number of equations to process: 676
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [47]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),D))))),V_4)),
% inverse(V_5)))) -> A
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [48]
% multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(inverse(B)),C),
% inverse(multiply(multiply(D,inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),multiply(V_4,V_5)))
% -> B
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [49]
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D))))) <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 673
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced :
% [50]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(multiply(
% inverse(D),C))))),
% inverse(multiply(V_4,D)))))
% Current number of equations to process: 673
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [51]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(b1,
% inverse(multiply(D,b1)))),D)),
% inverse(b1))),b1))) -> C
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [52]
% inverse(multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(B),C),
% inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),
% multiply(V_4,V_5)))) -> B
% Current number of equations to process: 671
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [53]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% Rule
% [31]
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(C,b1))))) <->
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B)))))
% collapsed.
% Rule
% [32]
% multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(C,b1)))))
% collapsed.
% Current number of equations to process: 722
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [54]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(V_4))))
% <-> multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(V_4,b1)))))
% Current number of equations to process: 742
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [55]
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(V_4,b1))))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(V_4))))
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [56]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(inverse(C),A)))))
% -> C
% Current number of equations to process: 741
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [57]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D)))),
% inverse(V_4)))),
% inverse(multiply(V_5,C)))))) -> V_5
% Current number of equations to process: 739
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [58]
% inverse(multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,
% inverse(
% multiply(B,b1))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D))))) -> inverse(A)
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [59]
% multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(B,
% multiply(V_4,
% inverse(
% multiply(
% inverse(C),V_4))))))))))
% -> D
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [60]
% inverse(multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,
% inverse(
% multiply(A,b1))))),
% multiply(B,inverse(multiply(C,B)))))) -> C
% Current number of equations to process: 842
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [61]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(B,b1))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D)))) -> A
% Rule
% [58]
% inverse(multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,
% inverse(
% multiply(B,b1))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D))))) -> inverse(A) collapsed.
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [62]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(D,C)))),D)))
% -> A
% Rule
% [28]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,inverse(
% multiply(
% inverse(D),C)))),
% inverse(D)))) -> A collapsed.
% Rule
% [30]
% multiply(b1,multiply(A,multiply(multiply(inverse(A),multiply(b1,inverse(
% multiply(B,b1)))),B)))
% -> b1 collapsed.
% Rule
% [37]
% multiply(b1,multiply(A,multiply(multiply(inverse(A),multiply(B,multiply(
% multiply(
% inverse(B),
% multiply(b1,
% inverse(
% multiply(C,b1)))),C))),
% inverse(multiply(inverse(D),b1))))) -> D collapsed.
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [63]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(A,b1))))),
% multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% Current number of equations to process: 892
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [64]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(A,b1))))),
% multiply(B,inverse(multiply(C,B)))))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [65]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(A,b1))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D)))) -> B
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [66]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(
% multiply(D,V_4)))),D)),V_4))))
% -> multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(C,b1)))))
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [67]
% multiply(A,multiply(multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(
% inverse(V_5),C))))),
% multiply(V_4,inverse(V_5)))) -> A
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [68]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(inverse(V_4))))) -> V_4
% Rule
% [42]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(
% inverse(V_4)))))
% -> V_4 collapsed.
% Current number of equations to process: 968
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [69]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5)))))))))
% -> D
% Rule
% [40]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(multiply(
% inverse(V_5),V_4)))),
% inverse(V_5))))))))))
% -> D collapsed.
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [70]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(B,b1))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> A
% Rule
% [61]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(B,b1))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D)))) -> A collapsed.
% Current number of equations to process: 976
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [71]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(A,b1))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> B
% Rule
% [65]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(A,b1))))),
% multiply(multiply(B,multiply(C,inverse(multiply(inverse(D),C)))),
% inverse(D)))) -> B collapsed.
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [72]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(V_4,b1)))))
% Rule
% [38]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(b1,
% inverse(multiply(C,b1)))),C)),
% inverse(b1)))) ->
% multiply(b1,multiply(b1,multiply(b1,inverse(multiply(b1,multiply(b1,multiply(b1,
% multiply(b1,
% inverse(
% multiply(
% inverse(b1),b1))))))))))
% collapsed.
% Rule
% [54]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(V_4))))
% <-> multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(V_4,b1)))))
% collapsed.
% Current number of equations to process: 977
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [73]
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(V_4,b1))))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4))))
% Rule
% [55]
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(V_4,b1))))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(
% inverse(D),C)))),
% inverse(D))),inverse(V_4))))
% collapsed.
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [74]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4))),
% inverse(multiply(V_5,C)))))) -> V_5
% Rule
% [57]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D)))),
% inverse(V_4)))),
% inverse(multiply(V_5,C)))))) -> V_5
% collapsed.
% Current number of equations to process: 976
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [75]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))) -> C
% Rule
% [51]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(b1,
% inverse(multiply(D,b1)))),D)),
% inverse(b1))),b1))) -> C
% collapsed.
% Current number of equations to process: 975
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [76]
% inverse(multiply(inverse(A),multiply(B,multiply(multiply(inverse(B),multiply(A,
% multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(D,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4))))),C))))),V_5))))
% -> inverse(D)
% Current number of equations to process: 974
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [77]
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))))))
% <->
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(D,V_7)))))
% Current number of equations to process: 973
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced :
% [78]
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(D,V_7)))))
% <->
% multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,multiply(B,
% multiply(
% multiply(C,
% multiply(V_4,
% inverse(
% multiply(V_5,V_4)))),V_5))))))))
% Current number of equations to process: 973
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [79]
% inverse(multiply(inverse(A),multiply(multiply(inverse(B),C),inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(
% inverse(
% multiply(B,V_4)),C))))))
% -> A
% Current number of equations to process: 999
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [80]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(V_4,C))))),D))))
% -> V_4
% Current number of equations to process: 1179
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [81]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(D,inverse(multiply(inverse(V_4),D))))) -> V_4
% Rule
% [27]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(A,b1))))),
% multiply(V_4,inverse(multiply(inverse(V_5),V_4))))) -> V_5
% collapsed.
% Current number of equations to process: 1220
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [82]
% inverse(multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,
% inverse(multiply(A,C))))),
% multiply(D,inverse(multiply(V_4,D)))))) -> V_4
% Rule
% [60]
% inverse(multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,
% inverse(
% multiply(A,b1))))),
% multiply(B,inverse(multiply(C,B)))))) -> C collapsed.
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [83]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(V_4,C))))),D)))
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Rule
% [22]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(inverse(V_4),C))))),D)))
% -> V_4 collapsed.
% Rule
% [80]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),C),
% inverse(multiply(D,
% multiply(V_4,C))))),D))))
% -> V_4 collapsed.
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [84]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(C),D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> C
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [85]
% inverse(multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,
% inverse(multiply(D,
% multiply(V_4,
% multiply(B,
% multiply(V_5,
% inverse(
% multiply(
% inverse(C),V_5))))))))),D))))
% -> V_4
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [86]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(
% multiply(
% inverse(inverse(C)),
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(V_5))),V_5))) -> C
% Current number of equations to process: 1215
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [87]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(C)))) -> A
% Current number of equations to process: 1448
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [88]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),B)))))),D)
% -> A
% Current number of equations to process: 1471
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [89]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,D)))),V_4)),
% inverse(C)))) -> B
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [90]
% multiply(A,multiply(multiply(B,multiply(C,inverse(multiply(multiply(D,
% inverse(multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B)))) -> A
% Current number of equations to process: 1504
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [91]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),B)))))),C)
% -> A
% Current number of equations to process: 1503
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [92]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> B
% Rule
% [46]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),D))))),V_4)),
% inverse(V_5)))) -> B collapsed.
% Current number of equations to process: 1501
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [93]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(A,C))))),
% multiply(multiply(D,multiply(V_4,inverse(multiply(V_5,V_4)))),V_5)))
% -> D
% Rule
% [71]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(A,b1))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> B
% collapsed.
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [94]
% inverse(multiply(D,multiply(multiply(inverse(D),V_4),inverse(multiply(
% multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))),
% multiply(
% inverse(C),V_4))))))
% <-> multiply(inverse(A),multiply(A,multiply(B,inverse(C))))
% Rule
% [43]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(
% inverse(V_4),B))))))),D)
% -> V_4 collapsed.
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [95]
% multiply(inverse(multiply(inverse(A),multiply(A,multiply(D,inverse(V_4))))),D)
% -> V_4
% Current number of equations to process: 1499
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [96]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5)),
% inverse(D))),inverse(C))))
% -> B
% Current number of equations to process: 1498
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [97]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(
% multiply(C,
% multiply(D,
% inverse(
% multiply(V_4,D)))),V_4),
% multiply(
% inverse(V_5),B))))))),C)
% -> V_5
% Current number of equations to process: 1497
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [98]
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D)))) <->
% multiply(inverse(A),multiply(A,multiply(multiply(A,C),inverse(D))))
% Rule
% [11]
% inverse(multiply(b1,multiply(A,multiply(multiply(inverse(A),multiply(b1,
% multiply(
% multiply(
% inverse(b1),b1),
% inverse(multiply(
% inverse(B),
% multiply(b1,b1)))))),
% inverse(multiply(C,B)))))) -> C collapsed.
% Current number of equations to process: 1496
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [99]
% multiply(inverse(A),multiply(A,multiply(multiply(A,C),inverse(D)))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(D))))
% Current number of equations to process: 1496
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B))))))),D)
% Current number of equations to process: 1495
% Current number of ordered equations: 1
% Current number of rules: 64
% Rule [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),
% inverse(multiply(multiply(C,
% inverse(multiply(
% inverse(D),C))),
% multiply(V_4,B))))))),D) is composed into
% [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(V_4,b1)))))
% New rule produced :
% [101]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),B),inverse(
% multiply(
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(V_4,B))))))),D)
% <->
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% Current number of equations to process: 1495
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [102]
% multiply(inverse(A),multiply(A,multiply(multiply(multiply(B,multiply(C,
% inverse(multiply(
% multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),C)))),
% multiply(V_4,inverse(B))),inverse(
% inverse(V_5)))))
% -> V_5
% Current number of equations to process: 1494
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [103]
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A))))) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% Current number of equations to process: 1613
% Current number of ordered equations: 1
% Current number of rules: 67
% Rule [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <->
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(V_4,b1))))) is composed into
% [100]
% multiply(inverse(V_5),multiply(V_5,multiply(V_6,inverse(multiply(V_4,V_6)))))
% <-> multiply(b1,multiply(b1,multiply(inverse(b1),inverse(multiply(V_4,b1)))))
% Rule [72]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(
% multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(V_4,b1))))) is composed into
% [72]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) <->
% multiply(b1,multiply(b1,multiply(inverse(b1),inverse(multiply(V_4,b1)))))
% Rule [66]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% multiply(
% inverse(A),
% multiply(C,
% inverse(
% multiply(D,V_4)))),D)),V_4))))
% ->
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(C,b1))))) is composed into
% [66]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(
% multiply(D,V_4)))),D)),V_4))))
% -> multiply(b1,multiply(b1,multiply(inverse(b1),inverse(multiply(C,b1)))))
% Rule [64]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% <->
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,
% inverse(multiply(A,b1))))),
% multiply(B,inverse(multiply(C,B))))) is composed into
% [64]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(multiply(b1,multiply(b1,multiply(inverse(b1),inverse(
% multiply(A,b1))))),
% multiply(B,inverse(multiply(C,B)))))
% Rule [10]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% ->
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(A,b1))))) is composed into
% [10]
% multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% -> multiply(b1,multiply(b1,multiply(inverse(b1),inverse(multiply(A,b1)))))
% Rule [6]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% multiply(
% inverse(A),
% multiply(
% multiply(C,D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% ->
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(C,b1))))) is composed into
% [6]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(C,D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5))))
% -> multiply(b1,multiply(b1,multiply(inverse(b1),inverse(multiply(C,b1)))))
% New rule produced :
% [104]
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4))))) <->
% multiply(A,multiply(B,multiply(inverse(B),inverse(multiply(C,A)))))
% Rule
% [25]
% inverse(multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,
% inverse(
% multiply(V_4,b1))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6 collapsed.
% Rule
% [26]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(V_4,b1))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6 collapsed.
% Rule
% [63]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(A,b1))))),
% multiply(B,inverse(multiply(C,B))))) <->
% multiply(inverse(D),multiply(D,multiply(V_4,inverse(multiply(C,V_4)))))
% collapsed.
% Rule
% [70]
% multiply(A,multiply(multiply(inverse(b1),multiply(b1,multiply(b1,inverse(
% multiply(B,b1))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> A
% collapsed.
% Rule
% [73]
% multiply(inverse(b1),multiply(b1,multiply(b1,inverse(multiply(V_4,b1))))) <->
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% inverse(multiply(D,C)))),D)),
% inverse(V_4)))) collapsed.
% Current number of equations to process: 1618
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [105]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(D),A))))),
% inverse(multiply(inverse(V_4),D))))) -> V_4
% Current number of equations to process: 1617
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [106]
% multiply(A,multiply(multiply(b1,multiply(b1,multiply(inverse(b1),inverse(
% multiply(B,b1))))),
% multiply(multiply(B,multiply(C,inverse(multiply(D,C)))),D))) -> A
% Current number of equations to process: 1616
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [107]
% inverse(multiply(A,multiply(multiply(b1,multiply(b1,multiply(inverse(b1),
% inverse(multiply(V_4,b1))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6
% Current number of equations to process: 1615
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [108]
% multiply(A,multiply(multiply(b1,multiply(b1,multiply(inverse(b1),inverse(
% multiply(V_4,b1))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6
% Current number of equations to process: 1614
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [109]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> A
% Rule
% [47]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(
% inverse(V_5),D))))),V_4)),
% inverse(V_5)))) -> A collapsed.
% Current number of equations to process: 1620
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [110]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(C),
% multiply(
% inverse(D),
% inverse(
% multiply(V_4,V_5)))),V_4)),V_5)),D))))
% -> C
% Current number of equations to process: 1619
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [111]
% multiply(A,multiply(multiply(b1,multiply(b1,multiply(inverse(b1),inverse(
% multiply(B,b1))))),
% multiply(multiply(B,C),inverse(multiply(D,multiply(A,C)))))) <->
% multiply(inverse(V_4),multiply(V_4,multiply(V_5,inverse(multiply(D,V_5)))))
% Rule
% [107]
% inverse(multiply(A,multiply(multiply(b1,multiply(b1,multiply(inverse(b1),
% inverse(multiply(V_4,b1))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,multiply(A,V_5)))))))
% -> V_6 collapsed.
% Rule
% [108]
% multiply(A,multiply(multiply(b1,multiply(b1,multiply(inverse(b1),inverse(
% multiply(V_4,b1))))),
% multiply(multiply(V_4,V_5),inverse(multiply(inverse(V_6),multiply(A,V_5))))))
% -> V_6 collapsed.
% Current number of equations to process: 1617
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [112]
% multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5))),
% inverse(multiply(V_6,D)))),V_6)))
% -> C
% Current number of equations to process: 1615
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [113]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(
% multiply(
% inverse(
% inverse(B)),C),
% inverse(
% multiply(D,
% multiply(
% multiply(V_4,
% inverse(
% multiply(
% inverse(V_5),V_4))),C))))),D)))),V_5)
% -> B
% Current number of equations to process: 1613
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [114]
% multiply(A,multiply(multiply(inverse(B),multiply(B,multiply(C,inverse(
% multiply(D,C))))),
% multiply(multiply(D,V_4),inverse(multiply(V_5,multiply(A,V_4))))))
% <->
% multiply(inverse(V_6),multiply(V_6,multiply(V_7,inverse(multiply(V_5,V_7)))))
% Current number of equations to process: 1612
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [115]
% multiply(inverse(inverse(multiply(A,multiply(B,inverse(multiply(multiply(C,
% inverse(
% multiply(
% inverse(D),C))),
% multiply(inverse(V_4),
% multiply(A,multiply(V_5,
% inverse(
% multiply(
% inverse(B),V_5))))))))))),D)
% -> V_4
% Current number of equations to process: 1609
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [116]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(C,inverse(
% multiply(D,
% multiply(
% inverse(V_4),
% multiply(B,
% multiply(
% multiply(C,
% multiply(V_5,
% inverse(
% multiply(V_6,V_5)))),V_6))))))),D)))
% -> V_4
% Current number of equations to process: 1608
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [117]
% multiply(inverse(inverse(multiply(A,multiply(multiply(inverse(A),multiply(B,
% multiply(C,
% inverse(
% multiply(
% inverse(D),C))))),
% inverse(multiply(multiply(V_4,inverse(
% multiply(
% inverse(V_5),V_4))),D)))))),V_5)
% -> B
% Current number of equations to process: 1604
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [118]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(
% multiply(
% inverse(C),
% multiply(
% multiply(
% inverse(D),V_4),
% inverse(multiply(V_5,
% multiply(V_6,V_4))))),V_5)),V_6)),D)))
% -> B
% Current number of equations to process: 1602
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [119]
% inverse(multiply(A,multiply(B,multiply(C,inverse(multiply(D,multiply(A,
% multiply(B,
% multiply(
% multiply(C,
% multiply(
% multiply(V_4,
% multiply(V_5,
% inverse(multiply(V_6,V_5)))),V_6)),
% inverse(V_4))))))))))
% -> D
% Current number of equations to process: 1600
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [120]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(C,
% multiply(D,
% inverse(multiply(V_4,
% multiply(V_5,
% multiply(C,
% multiply(V_6,
% inverse(
% multiply(
% inverse(D),V_6))))))))),V_4)),V_5)))
% -> B
% Current number of equations to process: 1600
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [121]
% multiply(A,multiply(multiply(b1,multiply(b1,multiply(inverse(b1),inverse(
% multiply(B,b1))))),
% multiply(multiply(B,multiply(multiply(C,multiply(D,inverse(
% multiply(V_4,D)))),V_4)),
% inverse(C)))) -> A
% Current number of equations to process: 1599
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [122]
% multiply(inverse(A),multiply(A,multiply(multiply(B,multiply(multiply(
% inverse(B),
% multiply(C,
% multiply(
% multiply(D,
% multiply(V_4,
% inverse(multiply(V_5,V_4)))),V_5))),
% inverse(multiply(V_6,D)))),V_6)))
% -> C
% Current number of equations to process: 1597
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [123]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(C,
% inverse(multiply(
% inverse(D),D)))),
% inverse(C))))) -> inverse(A)
% Current number of equations to process: 1630
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [124] multiply(inverse(B),B) <-> multiply(inverse(A),A)
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 1638
% Current number of ordered equations: 0
% Current number of rules: 80
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 12 rules have been used:
% [1]
% inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),C),inverse(
% multiply(D,
% multiply(A,C)))))))
% -> D; trace = in the starting set
% [2] inverse(multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(
% multiply(
% inverse(A),C),
% inverse(
% multiply(D,
% multiply(V_4,C))))),D))))
% -> V_4; trace = Self cp of 1
% [4] inverse(multiply(A,multiply(multiply(B,multiply(C,multiply(multiply(
% inverse(C),D),
% inverse(multiply(V_4,
% multiply(B,D)))))),
% multiply(multiply(V_4,V_5),inverse(multiply(V_6,
% multiply(A,V_5)))))))
% -> V_6; trace = Self cp of 1
% [7] multiply(b1,multiply(b1,multiply(multiply(inverse(b1),b1),inverse(
% multiply(
% inverse(C),
% multiply(b1,b1))))))
% -> C; trace = Cp of 2 and 1
% [8] multiply(b1,multiply(b1,multiply(multiply(inverse(b1),b1),inverse(
% multiply(C,
% multiply(b1,b1))))))
% <->
% multiply(V_6,multiply(V_7,multiply(multiply(inverse(V_7),V_8),inverse(
% multiply(C,
% multiply(V_6,V_8)))))); trace = Cp of 4 and 2
% [10] multiply(B,multiply(C,multiply(multiply(inverse(C),multiply(multiply(
% inverse(B),D),
% inverse(multiply(V_4,
% multiply(A,D))))),V_4)))
% ->
% multiply(b1,multiply(b1,multiply(multiply(inverse(b1),b1),inverse(
% multiply(A,
% multiply(b1,b1)))))); trace = Cp of 7 and 2
% [12] multiply(B,multiply(C,multiply(multiply(inverse(C),D),inverse(multiply(
% inverse(A),
% multiply(B,D))))))
% -> A; trace = Cp of 8 and 7
% [14] multiply(A,multiply(B,multiply(multiply(inverse(B),multiply(multiply(
% inverse(A),
% multiply(
% multiply(
% inverse(
% inverse(C)),D),
% inverse(
% multiply(V_4,
% multiply(V_5,D))))),V_4)),V_5)))
% -> C; trace = Cp of 12 and 10
% [15] multiply(A,multiply(B,multiply(C,inverse(multiply(inverse(D),multiply(A,
% multiply(V_4,
% multiply(
% multiply(
% inverse(V_4),V_5),
% inverse(
% multiply(
% inverse(C),
% multiply(
% inverse(B),V_5)))))))))))
% -> D; trace = Self cp of 12
% [18] multiply(inverse(A),multiply(A,multiply(B,inverse(multiply(inverse(C),B)))))
% -> C; trace = Cp of 15 and 12
% [48] multiply(A,multiply(multiply(inverse(A),multiply(multiply(inverse(
% inverse(B)),C),
% inverse(multiply(multiply(D,
% inverse(
% multiply(
% inverse(V_4),D))),
% multiply(V_5,C))))),
% multiply(V_4,V_5))) -> B; trace = Cp of 18 and 14
% [124] multiply(inverse(B),B) <-> multiply(inverse(A),A); trace = Cp of 48 and 10
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 1.660000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------