TSTP Solution File: GRP415-1 by CiME---2.01
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- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : GRP415-1 : TPTP v6.0.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n128.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 00:22:56 EDT 2014
% Result : Unsatisfiable 123.19s
% Output : Refutation 123.19s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : GRP415-1 : TPTP v6.0.0. Released v2.6.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n128.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 12:52:23 CDT 2014
% % CPUTime : 123.19
% Processing problem /tmp/CiME_21579_n128.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " b1,a1 : constant; inverse : 1; multiply : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,inverse(C)))),inverse(multiply(inverse(A),A)))))) = C;
% ";
%
% let s1 = status F "
% b1 lr_lex;
% a1 lr_lex;
% inverse lr_lex;
% multiply lr_lex;
% ";
%
% let p1 = precedence F "
% multiply > inverse > a1 > b1";
%
% let s2 = status F "
% b1 mul;
% a1 mul;
% inverse mul;
% multiply 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,inverse(multiply(inverse(
% multiply(
% inverse(
% multiply(B,A)),
% multiply(B,
% inverse(C)))),
% inverse(multiply(
% inverse(A),A))))))
% = 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]
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,inverse(C)))),
% inverse(multiply(inverse(A),A)))))) -> 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(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,C))),inverse(multiply(
% inverse(A),A))))))
% <->
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 2
% Current number of ordered equations: 1
% Current number of rules: 2
% New rule produced :
% [3]
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,C))),inverse(multiply(
% inverse(A),A))))))
% Rule
% [1]
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,inverse(C)))),
% inverse(multiply(inverse(A),A)))))) -> C
% collapsed.
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [4]
% inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(
% multiply(B,A)),
% multiply(B,C))),inverse(
% multiply(
% inverse(A),A)))))))
% -> C
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced :
% [5]
% multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,
% inverse(
% inverse(A))))),
% inverse(multiply(inverse(B),B))))) -> A
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced :
% [6]
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),
% inverse(multiply(inverse(A),A)))))) <->
% multiply(inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(
% inverse(C))))),
% inverse(multiply(inverse(B),B)))
% Current number of equations to process: 30
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced :
% [7]
% multiply(inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(
% inverse(C))))),
% inverse(multiply(inverse(B),B))) <->
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),
% inverse(multiply(inverse(A),A))))))
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced :
% [8]
% multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(
% multiply(C,
% inverse(A))))))),
% inverse(multiply(inverse(C),C))) -> A
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(
% inverse(
% multiply(B,C)))))),
% inverse(multiply(inverse(B),B)))) -> C
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10]
% multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(
% inverse(
% multiply(A,B)),C)),
% inverse(multiply(inverse(B),B))))))))
% -> C
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(
% multiply(
% inverse(B),B)))
% <->
% multiply(inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,C))),
% inverse(multiply(inverse(B),B)))
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [12]
% inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(V_3,C)),
% multiply(V_3,inverse(multiply(A,B))))),
% inverse(multiply(inverse(C),C)))))) ->
% multiply(A,B)
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced :
% [13]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(
% multiply(C,B)),
% multiply(C,inverse(V_3)))),
% inverse(multiply(inverse(B),B))))))) ->
% multiply(A,V_3)
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [14]
% multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),
% inverse(multiply(inverse(A),A))))) <->
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(B,V_3)),C)),
% inverse(multiply(inverse(V_3),V_3)))))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [15]
% inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),
% multiply(C,inverse(A)))),
% inverse(multiply(inverse(B),B)))))) -> A
% Rule
% [12]
% inverse(multiply(C,inverse(multiply(inverse(multiply(inverse(multiply(V_3,C)),
% multiply(V_3,inverse(multiply(A,B))))),
% inverse(multiply(inverse(C),C)))))) ->
% multiply(A,B) collapsed.
% Rule
% [13]
% multiply(A,inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(
% multiply(C,B)),
% multiply(C,inverse(V_3)))),
% inverse(multiply(inverse(B),B))))))) ->
% multiply(A,V_3) collapsed.
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [16]
% multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),
% inverse(multiply(inverse(A),A))))) <->
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,C))),inverse(multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [17]
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,C))),inverse(multiply(
% inverse(A),A))))))
% <->
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),multiply(V_3,inverse(
% inverse(
% multiply(V_4,C)))))),
% inverse(multiply(inverse(V_4),V_4)))
% Current number of equations to process: 290
% Current number of ordered equations: 1
% Current number of rules: 14
% New rule produced :
% [18]
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),multiply(V_3,inverse(
% inverse(
% multiply(V_4,C)))))),
% inverse(multiply(inverse(V_4),V_4))) <->
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,C))),inverse(multiply(
% inverse(A),A))))))
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [19]
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),multiply(V_3,inverse(
% inverse(
% multiply(V_4,C)))))),
% inverse(multiply(inverse(V_4),V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(
% multiply(B,C)))))),
% inverse(multiply(inverse(B),B)))
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [20]
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(
% multiply(B,C)))))),
% inverse(multiply(inverse(B),B)))
% Current number of equations to process: 361
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [21]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(
% multiply(B,C)))))),
% inverse(multiply(inverse(B),B))) <->
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))))
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [22]
% inverse(multiply(inverse(multiply(inverse(multiply(V_3,inverse(multiply(A,B)))),
% multiply(V_3,inverse(C)))),inverse(multiply(
% inverse(inverse(
% multiply(A,B))),
% inverse(multiply(A,B))))))
% ->
% multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(
% inverse(B),B))))))))
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [23]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(B),B)))))))))
% -> C
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 20
% Rule [18]
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),multiply(V_3,
% inverse(inverse(
% multiply(V_4,C)))))),
% inverse(multiply(inverse(V_4),V_4))) <->
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,C))),inverse(
% multiply(
% inverse(A),A)))))) is composed into
% [18]
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),multiply(V_3,inverse(
% inverse(
% multiply(V_4,C)))))),
% inverse(multiply(inverse(V_4),V_4))) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(C,
% inverse(
% multiply(
% inverse(B),B)))))))))
% Rule [3]
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),
% inverse(multiply(inverse(V_3),V_3))))) <->
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,C))),inverse(
% multiply(
% inverse(A),A)))))) is composed into
% [3]
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(C,
% inverse(
% multiply(
% inverse(B),B)))))))))
% New rule produced :
% [24]
% inverse(multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,C))),inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(C,
% inverse(
% multiply(
% inverse(B),B)))))))))
% Rule
% [2]
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,C))),inverse(multiply(
% inverse(A),A))))))
% <->
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [4]
% inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(
% multiply(B,A)),
% multiply(B,C))),inverse(
% multiply(
% inverse(A),A)))))))
% -> C collapsed.
% Rule
% [15]
% inverse(multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),
% multiply(C,inverse(A)))),
% inverse(multiply(inverse(B),B)))))) -> A
% collapsed.
% Rule
% [17]
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,C))),inverse(multiply(
% inverse(A),A))))))
% <->
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),multiply(V_3,inverse(
% inverse(
% multiply(V_4,C)))))),
% inverse(multiply(inverse(V_4),V_4))) collapsed.
% Current number of equations to process: 431
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [25]
% inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(B),B))))))))))
% -> C
% Current number of equations to process: 430
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [26]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(C,
% inverse(
% multiply(
% inverse(B),B)))))))))
% <->
% multiply(inverse(multiply(b1,b1)),multiply(b1,inverse(inverse(multiply(b1,
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(b1),b1)))))))))
% Current number of equations to process: 429
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [27]
% multiply(inverse(multiply(b1,b1)),multiply(b1,inverse(inverse(multiply(b1,
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(b1),b1)))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(C,
% inverse(
% multiply(
% inverse(B),B)))))))))
% Current number of equations to process: 429
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [28]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(C))) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C)))
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [29]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) <->
% multiply(inverse(multiply(A,B)),multiply(A,C))
% Rule
% [11]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),inverse(
% multiply(
% inverse(B),B)))
% <->
% multiply(inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,C))),
% inverse(multiply(inverse(B),B))) collapsed.
% Rule
% [28]
% multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(C))) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(C))) collapsed.
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [30]
% multiply(inverse(multiply(V_3,B)),V_4) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,
% inverse(
% inverse(V_4))))),
% inverse(multiply(inverse(V_3),V_3))))))
% Current number of equations to process: 494
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [31]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,
% inverse(
% inverse(V_4))))),
% inverse(multiply(inverse(V_3),V_3))))))
% <-> multiply(inverse(multiply(V_3,B)),V_4)
% Current number of equations to process: 494
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [32]
% multiply(inverse(multiply(V_3,B)),V_4) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(C,
% inverse(multiply(
% inverse(
% multiply(
% inverse(
% multiply(V_3,C)),V_4)),
% inverse(
% multiply(
% inverse(C),C)))))))))
% Current number of equations to process: 493
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [33]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(C,
% inverse(multiply(
% inverse(
% multiply(
% inverse(
% multiply(V_3,C)),V_4)),
% inverse(
% multiply(
% inverse(C),C)))))))))
% <-> multiply(inverse(multiply(V_3,B)),V_4)
% Current number of equations to process: 493
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [34]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(C,
% inverse(
% multiply(
% inverse(B),B)))))))))
% <->
% multiply(inverse(multiply(V_3,V_4)),multiply(V_3,inverse(inverse(multiply(V_4,
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(V_4),V_4)))))))))
% Rule
% [26]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(C,
% inverse(
% multiply(
% inverse(B),B)))))))))
% <->
% multiply(inverse(multiply(b1,b1)),multiply(b1,inverse(inverse(multiply(b1,
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(b1),b1)))))))))
% collapsed.
% Rule
% [27]
% multiply(inverse(multiply(b1,b1)),multiply(b1,inverse(inverse(multiply(b1,
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(b1),b1)))))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(C,
% inverse(
% multiply(
% inverse(B),B)))))))))
% collapsed.
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [35]
% 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: 597
% Current number of ordered equations: 3
% Current number of rules: 24
% New rule produced :
% [36]
% 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: 597
% Current number of ordered equations: 2
% Current number of rules: 25
% Rule [36]
% 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
% [36]
% 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 :
% [37]
% 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: 597
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [38]
% 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: 597
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [39]
% multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(multiply(C,
% inverse(A))))))),V_3))
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(inverse(C),C)))),multiply(V_4,V_3))
% Current number of equations to process: 607
% Current number of ordered equations: 2
% Current number of rules: 28
% New rule produced :
% [40]
% multiply(inverse(multiply(V_4,V_3)),multiply(V_4,inverse(multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,
% inverse(
% inverse(
% multiply(B,
% inverse(C))))))),V_3)),C)
% Current number of equations to process: 607
% Current number of ordered equations: 1
% Current number of rules: 29
% Rule [40]
% multiply(inverse(multiply(V_4,V_3)),multiply(V_4,inverse(multiply(
% inverse(B),B))))
% <->
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),
% multiply(A,inverse(inverse(multiply(B,
% inverse(C))))))),V_3)),C) is composed into
% [40]
% multiply(inverse(multiply(V_4,V_3)),multiply(V_4,inverse(multiply(inverse(B),B))))
% <->
% multiply(inverse(multiply(b1,V_3)),multiply(b1,inverse(multiply(inverse(B),B))))
% New rule produced :
% [41]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,
% inverse(
% inverse(
% multiply(B,
% inverse(C))))))),V_3)),C)
% <->
% multiply(inverse(multiply(V_4,V_3)),multiply(V_4,inverse(multiply(inverse(B),B))))
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [42]
% multiply(inverse(multiply(V_4,multiply(B,inverse(inverse(multiply(C,inverse(
% multiply(A,
% inverse(
% multiply(
% inverse(C),C)))))))))),
% multiply(V_4,V_3)) -> multiply(A,multiply(inverse(multiply(B,C)),V_3))
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [43]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(multiply(inverse(
% multiply(V_4,B)),
% multiply(V_4,inverse(A)))),
% inverse(multiply(inverse(B),B)))))),
% multiply(V_3,C)) -> multiply(A,multiply(B,C))
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [44]
% multiply(inverse(multiply(V_4,C)),multiply(V_4,multiply(A,inverse(inverse(
% multiply(B,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(
% inverse(B),B))))))))))
% <-> multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3)
% Current number of equations to process: 603
% Current number of ordered equations: 1
% Current number of rules: 33
% Rule [32]
% multiply(inverse(multiply(V_3,B)),V_4) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(
% inverse(
% multiply(V_3,C)),V_4)),
% inverse(
% multiply(
% inverse(C),C))))))))) is composed into
% [32]
% multiply(inverse(multiply(V_3,B)),V_4) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(C,
% inverse(multiply(
% inverse(
% multiply(b1,V_4)),
% multiply(b1,
% multiply(V_3,
% inverse(
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(C),C))),
% inverse(
% multiply(
% inverse(C),C))))))))))))))))
% Rule [30]
% multiply(inverse(multiply(V_3,B)),V_4) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(
% multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,
% inverse(
% inverse(V_4))))),
% inverse(multiply(
% inverse(V_3),V_3)))))) is composed into
% [30]
% multiply(inverse(multiply(V_3,B)),V_4) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(b1,
% multiply(C,
% inverse(
% inverse(V_4))))),
% multiply(b1,multiply(C,
% inverse(
% inverse(
% multiply(V_3,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(
% multiply(
% inverse(V_3),V_3)))))))))))))
% New rule produced :
% [45]
% multiply(inverse(multiply(inverse(multiply(A,B)),C)),V_3) <->
% multiply(inverse(multiply(V_4,C)),multiply(V_4,multiply(A,inverse(inverse(
% multiply(B,
% inverse(
% multiply(
% inverse(V_3),
% inverse(
% multiply(
% inverse(B),B))))))))))
% Rule
% [3]
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(C,
% inverse(
% multiply(
% inverse(B),B)))))))))
% collapsed.
% Rule
% [5]
% multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),multiply(C,
% inverse(
% inverse(A))))),
% inverse(multiply(inverse(B),B))))) -> A collapsed.
% Rule
% [6]
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),
% inverse(multiply(inverse(A),A)))))) <->
% multiply(inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(
% inverse(C))))),
% inverse(multiply(inverse(B),B))) collapsed.
% Rule
% [7]
% multiply(inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(
% inverse(C))))),
% inverse(multiply(inverse(B),B))) <->
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),
% inverse(multiply(inverse(A),A)))))) collapsed.
% Rule
% [8]
% multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(inverse(
% multiply(C,
% inverse(A))))))),
% inverse(multiply(inverse(C),C))) -> A collapsed.
% Rule
% [9]
% inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(
% inverse(
% multiply(B,C)))))),
% inverse(multiply(inverse(B),B)))) -> C collapsed.
% Rule
% [10]
% multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(
% inverse(
% multiply(A,B)),C)),
% inverse(multiply(inverse(B),B))))))))
% -> C collapsed.
% Rule
% [14]
% multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),
% inverse(multiply(inverse(A),A))))) <->
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(B,V_3)),C)),
% inverse(multiply(inverse(V_3),V_3))))) collapsed.
% Rule
% [16]
% multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),multiply(B,C))),
% inverse(multiply(inverse(A),A))))) <->
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,C))),inverse(multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [18]
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),multiply(V_3,inverse(
% inverse(
% multiply(V_4,C)))))),
% inverse(multiply(inverse(V_4),V_4))) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(C,
% inverse(
% multiply(
% inverse(B),B)))))))))
% collapsed.
% Rule
% [19]
% multiply(inverse(multiply(inverse(multiply(V_3,V_4)),multiply(V_3,inverse(
% inverse(
% multiply(V_4,C)))))),
% inverse(multiply(inverse(V_4),V_4))) <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(
% multiply(B,C)))))),
% inverse(multiply(inverse(B),B))) collapsed.
% Rule
% [20]
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(
% multiply(B,C)))))),
% inverse(multiply(inverse(B),B))) collapsed.
% Rule
% [21]
% multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(
% multiply(B,C)))))),
% inverse(multiply(inverse(B),B))) <->
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),inverse(
% multiply(
% inverse(V_3),V_3)))))
% collapsed.
% Rule
% [22]
% inverse(multiply(inverse(multiply(inverse(multiply(V_3,inverse(multiply(A,B)))),
% multiply(V_3,inverse(C)))),inverse(multiply(
% inverse(inverse(
% multiply(A,B))),
% inverse(multiply(A,B))))))
% ->
% multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(multiply(
% inverse(B),B))))))))
% collapsed.
% Rule
% [24]
% inverse(multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,C))),inverse(
% multiply(
% inverse(V_3),V_3))))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(multiply(C,
% inverse(
% multiply(
% inverse(B),B)))))))))
% collapsed.
% Rule
% [31]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,
% inverse(
% inverse(V_4))))),
% inverse(multiply(inverse(V_3),V_3))))))
% <-> multiply(inverse(multiply(V_3,B)),V_4) collapsed.
% Rule
% [33]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(C,
% inverse(multiply(
% inverse(
% multiply(
% inverse(
% multiply(V_3,C)),V_4)),
% inverse(
% multiply(
% inverse(C),C)))))))))
% <-> multiply(inverse(multiply(V_3,B)),V_4) collapsed.
% Rule
% [41]
% multiply(inverse(multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,
% inverse(
% inverse(
% multiply(B,
% inverse(C))))))),V_3)),C)
% <->
% multiply(inverse(multiply(V_4,V_3)),multiply(V_4,inverse(multiply(inverse(B),B))))
% collapsed.
% Rule
% [43]
% multiply(inverse(multiply(V_3,inverse(multiply(inverse(multiply(inverse(
% multiply(V_4,B)),
% multiply(V_4,inverse(A)))),
% inverse(multiply(inverse(B),B)))))),
% multiply(V_3,C)) -> multiply(A,multiply(B,C)) collapsed.
% Current number of equations to process: 620
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [46]
% multiply(inverse(multiply(V_3,inverse(inverse(multiply(V_4,inverse(multiply(
% inverse(
% multiply(b1,A)),
% multiply(b1,
% inverse(
% inverse(
% multiply(b1,
% inverse(
% multiply(
% inverse(
% multiply(b1,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% multiply(b1,
% multiply(
% inverse(
% multiply(B,V_4)),
% inverse(
% inverse(
% multiply(b1,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(b1),b1))),
% inverse(
% multiply(
% inverse(b1),b1)))))))))))))))))))))),
% multiply(V_3,C)) -> multiply(inverse(A),multiply(B,C))
% Current number of equations to process: 660
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [47]
% 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: 679
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [48]
% 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: 679
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [49]
% 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: 695
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [50]
% 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: 695
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [51]
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,V_3)))
% <-> multiply(inverse(multiply(A,multiply(B,C))),multiply(A,multiply(B,V_3)))
% Rule
% [47]
% 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.
% Rule
% [48]
% 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.
% Current number of equations to process: 734
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [52]
% multiply(inverse(multiply(inverse(multiply(V_5,V_6)),multiply(V_5,C))),
% multiply(inverse(multiply(V_3,V_6)),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: 750
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [53]
% multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,
% inverse(inverse(
% multiply(C,A)))))),V_3))
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(inverse(C),C)))),multiply(V_4,V_3))
% Rule
% [39]
% multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(multiply(C,
% inverse(A))))))),V_3))
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(inverse(C),C)))),multiply(V_4,V_3))
% collapsed.
% Current number of equations to process: 791
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [54]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))))) <->
% multiply(inverse(multiply(b1,B)),multiply(b1,inverse(multiply(inverse(
% multiply(V_4,V_3)),
% multiply(V_4,V_3)))))
% Current number of equations to process: 793
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [55]
% multiply(inverse(multiply(b1,B)),multiply(b1,inverse(multiply(inverse(
% multiply(V_4,V_3)),
% multiply(V_4,V_3)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))))
% Current number of equations to process: 793
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [56]
% multiply(inverse(A),multiply(inverse(multiply(B,multiply(C,inverse(inverse(
% multiply(V_3,
% inverse(A))))))),
% multiply(B,V_4))) <->
% multiply(inverse(multiply(V_5,inverse(multiply(inverse(V_3),V_3)))),multiply(V_5,
% multiply(
% inverse(
% multiply(C,V_3)),V_4)))
% Current number of equations to process: 802
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced :
% [57]
% multiply(inverse(multiply(V_5,inverse(multiply(inverse(V_3),V_3)))),multiply(V_5,
% multiply(
% inverse(
% multiply(C,V_3)),V_4)))
% <->
% multiply(inverse(A),multiply(inverse(multiply(B,multiply(C,inverse(inverse(
% multiply(V_3,
% inverse(A))))))),
% multiply(B,V_4)))
% Current number of equations to process: 802
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [58]
% multiply(inverse(multiply(V_4,multiply(inverse(multiply(C,V_5)),B))),
% multiply(V_4,multiply(inverse(multiply(V_6,V_5)),multiply(V_6,V_3)))) <->
% multiply(inverse(multiply(b1,multiply(A,B))),multiply(b1,multiply(A,multiply(C,V_3))))
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [59]
% multiply(inverse(multiply(V_4,multiply(inverse(multiply(V_5,V_6)),multiply(V_5,C)))),
% multiply(V_4,multiply(inverse(multiply(B,V_6)),V_3))) <->
% multiply(inverse(multiply(b1,multiply(A,multiply(B,C)))),multiply(b1,
% multiply(A,V_3)))
% Current number of equations to process: 866
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [60]
% multiply(inverse(multiply(b1,multiply(A,multiply(B,C)))),multiply(b1,
% multiply(A,V_3)))
% <->
% multiply(inverse(multiply(V_4,multiply(inverse(multiply(V_5,V_6)),multiply(V_5,C)))),
% multiply(V_4,multiply(inverse(multiply(B,V_6)),V_3)))
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [61]
% 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
% [49]
% 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
% [50]
% 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: 1120
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [62]
% multiply(inverse(multiply(V_5,A)),multiply(V_5,multiply(B,multiply(inverse(
% multiply(V_6,V_3)),
% multiply(V_6,V_4)))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))))
% Current number of equations to process: 1200
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [63]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))))
% <->
% multiply(inverse(multiply(V_5,A)),multiply(V_5,multiply(B,multiply(inverse(
% multiply(V_6,V_3)),
% multiply(V_6,V_4)))))
% Current number of equations to process: 1200
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [64]
% multiply(inverse(multiply(V_4,multiply(b1,multiply(inverse(multiply(V_5,B)),
% multiply(V_5,C))))),multiply(V_4,V_3))
% <->
% multiply(inverse(multiply(b1,multiply(b1,multiply(inverse(multiply(A,B)),
% multiply(A,C))))),multiply(b1,V_3))
% Current number of equations to process: 1198
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [65]
% multiply(inverse(multiply(b1,multiply(b1,multiply(inverse(multiply(A,B)),
% multiply(A,C))))),multiply(b1,V_3))
% <->
% multiply(inverse(multiply(V_4,multiply(b1,multiply(inverse(multiply(V_5,B)),
% multiply(V_5,C))))),multiply(V_4,V_3))
% Current number of equations to process: 1198
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [66]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(inverse(multiply(V_3,A)))))),
% multiply(B,V_4))) <->
% multiply(inverse(multiply(V_5,inverse(multiply(inverse(V_3),V_3)))),multiply(V_5,
% multiply(
% inverse(
% multiply(C,V_3)),V_4)))
% Rule
% [56]
% multiply(inverse(A),multiply(inverse(multiply(B,multiply(C,inverse(inverse(
% multiply(V_3,
% inverse(A))))))),
% multiply(B,V_4))) <->
% multiply(inverse(multiply(V_5,inverse(multiply(inverse(V_3),V_3)))),multiply(V_5,
% multiply(
% inverse(
% multiply(C,V_3)),V_4)))
% collapsed.
% Current number of equations to process: 1305
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [67]
% multiply(inverse(multiply(V_5,inverse(multiply(inverse(V_3),V_3)))),multiply(V_5,
% multiply(
% inverse(
% multiply(C,V_3)),V_4)))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(inverse(multiply(V_3,A)))))),
% multiply(B,V_4)))
% Rule
% [57]
% multiply(inverse(multiply(V_5,inverse(multiply(inverse(V_3),V_3)))),multiply(V_5,
% multiply(
% inverse(
% multiply(C,V_3)),V_4)))
% <->
% multiply(inverse(A),multiply(inverse(multiply(B,multiply(C,inverse(inverse(
% multiply(V_3,
% inverse(A))))))),
% multiply(B,V_4))) collapsed.
% Current number of equations to process: 1305
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [68]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,inverse(multiply(inverse(
% multiply(V_5,V_3)),
% multiply(V_5,V_3)))))
% Rule
% [54]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))))) <->
% multiply(inverse(multiply(b1,B)),multiply(b1,inverse(multiply(inverse(
% multiply(V_4,V_3)),
% multiply(V_4,V_3)))))
% collapsed.
% Rule
% [55]
% multiply(inverse(multiply(b1,B)),multiply(b1,inverse(multiply(inverse(
% multiply(V_4,V_3)),
% multiply(V_4,V_3)))))
% <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3)))))
% collapsed.
% Current number of equations to process: 1433
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [69]
% multiply(inverse(multiply(A,multiply(inverse(multiply(B,C)),multiply(B,V_3)))),
% multiply(A,multiply(inverse(multiply(V_4,C)),V_5))) <->
% multiply(inverse(multiply(V_6,multiply(V_7,multiply(V_4,V_3)))),multiply(V_6,
% multiply(V_7,V_5)))
% Rule
% [59]
% multiply(inverse(multiply(V_4,multiply(inverse(multiply(V_5,V_6)),multiply(V_5,C)))),
% multiply(V_4,multiply(inverse(multiply(B,V_6)),V_3))) <->
% multiply(inverse(multiply(b1,multiply(A,multiply(B,C)))),multiply(b1,
% multiply(A,V_3)))
% collapsed.
% Current number of equations to process: 1439
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [70]
% multiply(inverse(multiply(V_6,multiply(V_7,multiply(V_4,V_3)))),multiply(V_6,
% multiply(V_7,V_5)))
% <->
% multiply(inverse(multiply(A,multiply(inverse(multiply(B,C)),multiply(B,V_3)))),
% multiply(A,multiply(inverse(multiply(V_4,C)),V_5)))
% Rule
% [60]
% multiply(inverse(multiply(b1,multiply(A,multiply(B,C)))),multiply(b1,
% multiply(A,V_3)))
% <->
% multiply(inverse(multiply(V_4,multiply(inverse(multiply(V_5,V_6)),multiply(V_5,C)))),
% multiply(V_4,multiply(inverse(multiply(B,V_6)),V_3))) collapsed.
% Current number of equations to process: 1439
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [71]
% multiply(inverse(multiply(V_4,A)),multiply(V_4,multiply(B,inverse(multiply(
% inverse(
% multiply(V_5,V_3)),
% multiply(V_5,V_3))))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,inverse(multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_3))))))
% Current number of equations to process: 1438
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [72]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,inverse(multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_3))))))
% <->
% multiply(inverse(multiply(V_4,A)),multiply(V_4,multiply(B,inverse(multiply(
% inverse(
% multiply(V_5,V_3)),
% multiply(V_5,V_3))))))
% Current number of equations to process: 1438
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [73]
% multiply(inverse(multiply(b1,multiply(b1,inverse(multiply(inverse(multiply(A,B)),
% multiply(A,B)))))),multiply(b1,C))
% <->
% multiply(inverse(multiply(V_3,multiply(b1,inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,B)))))),
% multiply(V_3,C))
% Current number of equations to process: 1436
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [74]
% multiply(inverse(multiply(V_3,multiply(b1,inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,B)))))),
% multiply(V_3,C)) <->
% multiply(inverse(multiply(b1,multiply(b1,inverse(multiply(inverse(multiply(A,B)),
% multiply(A,B)))))),multiply(b1,C))
% Current number of equations to process: 1436
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [75]
% multiply(inverse(multiply(b1,multiply(V_5,multiply(V_6,V_3)))),multiply(b1,
% multiply(V_5,
% multiply(V_6,V_4))))
% <->
% multiply(inverse(multiply(A,multiply(B,multiply(C,V_3)))),multiply(A,
% multiply(B,
% multiply(C,V_4))))
% Current number of equations to process: 1455
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [76]
% multiply(inverse(multiply(A,multiply(B,multiply(C,V_3)))),multiply(A,
% multiply(B,
% multiply(C,V_4))))
% <->
% multiply(inverse(multiply(b1,multiply(V_5,multiply(V_6,V_3)))),multiply(b1,
% multiply(V_5,
% multiply(V_6,V_4))))
% Current number of equations to process: 1455
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [77]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,multiply(inverse(
% multiply(V_3,V_4)),
% multiply(V_3,V_5)))))
% <->
% multiply(inverse(multiply(V_6,B)),multiply(V_6,multiply(C,multiply(inverse(
% multiply(V_7,V_4)),
% multiply(V_7,V_5)))))
% Rule
% [62]
% multiply(inverse(multiply(V_5,A)),multiply(V_5,multiply(B,multiply(inverse(
% multiply(V_6,V_3)),
% multiply(V_6,V_4)))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))))
% collapsed.
% Rule
% [63]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,multiply(inverse(
% multiply(C,V_3)),
% multiply(C,V_4)))))
% <->
% multiply(inverse(multiply(V_5,A)),multiply(V_5,multiply(B,multiply(inverse(
% multiply(V_6,V_3)),
% multiply(V_6,V_4)))))
% collapsed.
% Current number of equations to process: 1738
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [78]
% multiply(inverse(multiply(A,multiply(b1,multiply(inverse(multiply(B,C)),
% multiply(B,V_3))))),multiply(A,V_4))
% <->
% multiply(inverse(multiply(V_5,multiply(b1,multiply(inverse(multiply(V_6,C)),
% multiply(V_6,V_3))))),multiply(V_5,V_4))
% Rule
% [64]
% multiply(inverse(multiply(V_4,multiply(b1,multiply(inverse(multiply(V_5,B)),
% multiply(V_5,C))))),multiply(V_4,V_3))
% <->
% multiply(inverse(multiply(b1,multiply(b1,multiply(inverse(multiply(A,B)),
% multiply(A,C))))),multiply(b1,V_3))
% collapsed.
% Rule
% [65]
% multiply(inverse(multiply(b1,multiply(b1,multiply(inverse(multiply(A,B)),
% multiply(A,C))))),multiply(b1,V_3))
% <->
% multiply(inverse(multiply(V_4,multiply(b1,multiply(inverse(multiply(V_5,B)),
% multiply(V_5,C))))),multiply(V_4,V_3))
% collapsed.
% Current number of equations to process: 1867
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [79]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(
% multiply(V_3,V_4)),
% multiply(V_3,V_4))))))
% <->
% multiply(inverse(multiply(V_5,B)),multiply(V_5,multiply(C,inverse(multiply(
% inverse(
% multiply(V_6,V_4)),
% multiply(V_6,V_4))))))
% Rule
% [71]
% multiply(inverse(multiply(V_4,A)),multiply(V_4,multiply(B,inverse(multiply(
% inverse(
% multiply(V_5,V_3)),
% multiply(V_5,V_3))))))
% <->
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,inverse(multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_3))))))
% collapsed.
% Rule
% [72]
% multiply(inverse(multiply(b1,A)),multiply(b1,multiply(B,inverse(multiply(
% inverse(
% multiply(C,V_3)),
% multiply(C,V_3))))))
% <->
% multiply(inverse(multiply(V_4,A)),multiply(V_4,multiply(B,inverse(multiply(
% inverse(
% multiply(V_5,V_3)),
% multiply(V_5,V_3))))))
% collapsed.
% Current number of equations to process: 2551
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [80]
% multiply(inverse(multiply(A,multiply(b1,inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))))),multiply(A,V_3))
% <->
% multiply(inverse(multiply(V_4,multiply(b1,inverse(multiply(inverse(multiply(V_5,C)),
% multiply(V_5,C)))))),
% multiply(V_4,V_3))
% Rule
% [73]
% multiply(inverse(multiply(b1,multiply(b1,inverse(multiply(inverse(multiply(A,B)),
% multiply(A,B)))))),multiply(b1,C))
% <->
% multiply(inverse(multiply(V_3,multiply(b1,inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,B)))))),
% multiply(V_3,C)) collapsed.
% Rule
% [74]
% multiply(inverse(multiply(V_3,multiply(b1,inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,B)))))),
% multiply(V_3,C)) <->
% multiply(inverse(multiply(b1,multiply(b1,inverse(multiply(inverse(multiply(A,B)),
% multiply(A,B)))))),multiply(b1,C))
% collapsed.
% Current number of equations to process: 2593
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [81]
% multiply(inverse(multiply(V_5,multiply(V_6,multiply(V_7,V_3)))),multiply(V_5,
% multiply(V_6,
% multiply(V_7,V_4))))
% <->
% multiply(inverse(multiply(A,multiply(B,multiply(C,V_3)))),multiply(A,
% multiply(B,
% multiply(C,V_4))))
% Rule
% [75]
% multiply(inverse(multiply(b1,multiply(V_5,multiply(V_6,V_3)))),multiply(b1,
% multiply(V_5,
% multiply(V_6,V_4))))
% <->
% multiply(inverse(multiply(A,multiply(B,multiply(C,V_3)))),multiply(A,
% multiply(B,
% multiply(C,V_4))))
% collapsed.
% Rule
% [76]
% multiply(inverse(multiply(A,multiply(B,multiply(C,V_3)))),multiply(A,
% multiply(B,
% multiply(C,V_4))))
% <->
% multiply(inverse(multiply(b1,multiply(V_5,multiply(V_6,V_3)))),multiply(b1,
% multiply(V_5,
% multiply(V_6,V_4))))
% collapsed.
% Current number of equations to process: 2645
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [82]
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,
% multiply(B,V_3)))),
% multiply(inverse(multiply(V_4,multiply(V_5,C))),V_6)) <->
% multiply(inverse(multiply(V_7,multiply(V_4,multiply(V_5,V_3)))),multiply(V_7,V_6))
% Current number of equations to process: 3365
% Current number of ordered equations: 3
% Current number of rules: 31
% New rule produced :
% [83]
% multiply(inverse(multiply(V_7,multiply(V_4,multiply(V_5,V_3)))),multiply(V_7,V_6))
% <->
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,
% multiply(B,V_3)))),
% multiply(inverse(multiply(V_4,multiply(V_5,C))),V_6))
% Current number of equations to process: 3365
% Current number of ordered equations: 2
% Current number of rules: 32
% New rule produced :
% [84]
% multiply(inverse(multiply(V_7,V_3)),multiply(V_7,multiply(A,multiply(B,V_6))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),V_3)),multiply(
% inverse(
% multiply(V_4,
% multiply(V_5,C))),
% multiply(V_4,
% multiply(V_5,V_6))))
% Current number of equations to process: 3365
% Current number of ordered equations: 1
% Current number of rules: 33
% Rule [84]
% multiply(inverse(multiply(V_7,V_3)),multiply(V_7,multiply(A,multiply(B,V_6))))
% <->
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),V_3)),
% multiply(inverse(multiply(V_4,multiply(V_5,C))),multiply(V_4,multiply(V_5,V_6)))) is composed into
% [84]
% multiply(inverse(multiply(V_7,V_3)),multiply(V_7,multiply(A,multiply(B,V_6))))
% <->
% multiply(inverse(multiply(b1,V_3)),multiply(b1,multiply(A,multiply(B,V_6))))
% New rule produced :
% [85]
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),V_3)),multiply(
% inverse(
% multiply(V_4,
% multiply(V_5,C))),
% multiply(V_4,
% multiply(V_5,V_6))))
% <->
% multiply(inverse(multiply(V_7,V_3)),multiply(V_7,multiply(A,multiply(B,V_6))))
% Current number of equations to process: 3365
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [86]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(inverse(multiply(V_3,A)))))),
% multiply(B,multiply(C,V_4)))) <->
% multiply(inverse(multiply(V_5,inverse(multiply(inverse(V_3),V_3)))),multiply(V_5,
% multiply(
% inverse(
% multiply(V_6,V_3)),
% multiply(V_6,V_4))))
% Current number of equations to process: 3453
% Current number of ordered equations: 1
% Current number of rules: 35
% Rule [86]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(inverse(
% multiply(V_3,A)))))),
% multiply(B,multiply(C,V_4)))) <->
% multiply(inverse(multiply(V_5,inverse(multiply(inverse(V_3),V_3)))),
% multiply(V_5,multiply(inverse(multiply(V_6,V_3)),multiply(V_6,V_4)))) is composed into
% [86]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(inverse(multiply(V_3,A)))))),
% multiply(B,multiply(C,V_4)))) <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(b1,inverse(inverse(
% multiply(V_3,b1)))))),
% multiply(b1,multiply(b1,V_4))))
% New rule produced :
% [87]
% multiply(inverse(multiply(V_5,inverse(multiply(inverse(V_3),V_3)))),multiply(V_5,
% multiply(
% inverse(
% multiply(V_6,V_3)),
% multiply(V_6,V_4))))
% <->
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(inverse(multiply(V_3,A)))))),
% multiply(B,multiply(C,V_4))))
% Current number of equations to process: 3453
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [88]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(inverse(multiply(V_3,A)))))),
% multiply(B,multiply(C,V_4)))) <->
% multiply(V_5,multiply(inverse(multiply(V_6,multiply(V_7,inverse(inverse(
% multiply(V_3,V_5)))))),
% multiply(V_6,multiply(V_7,V_4))))
% Rule
% [86]
% multiply(A,multiply(inverse(multiply(B,multiply(C,inverse(inverse(multiply(V_3,A)))))),
% multiply(B,multiply(C,V_4)))) <->
% multiply(b1,multiply(inverse(multiply(b1,multiply(b1,inverse(inverse(
% multiply(V_3,b1)))))),
% multiply(b1,multiply(b1,V_4)))) collapsed.
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [89]
% multiply(multiply(A,B),inverse(multiply(inverse(multiply(inverse(multiply(C,
% multiply(A,B))),
% multiply(C,inverse(inverse(V_3))))),
% inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,B)))))) -> V_3
% Current number of equations to process: 4535
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [90]
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,
% inverse(
% inverse(
% multiply(
% multiply(B,C),
% inverse(V_3))))))),
% inverse(multiply(inverse(multiply(V_4,C)),multiply(V_4,C)))) -> V_3
% Current number of equations to process: 4672
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [91]
% multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))))),multiply(B,inverse(
% multiply(
% inverse(
% multiply(V_4,V_3)),
% multiply(V_4,V_3)))))
% <-> multiply(inverse(A),A)
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 39
% Rule [32]
% multiply(inverse(multiply(V_3,B)),V_4) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(C,
% inverse(
% multiply(
% inverse(
% multiply(b1,V_4)),
% multiply(b1,
% multiply(V_3,
% inverse(
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(C),C))),
% inverse(
% multiply(
% inverse(C),C)))))))))))))))) is composed into
% [32]
% multiply(inverse(multiply(V_3,B)),V_4) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(C,
% inverse(multiply(
% inverse(
% multiply(b1,V_4)),
% multiply(b1,
% multiply(V_3,
% inverse(
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(b1),b1))))))))))))))
% Rule [30]
% multiply(inverse(multiply(V_3,B)),V_4) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(
% multiply(b1,
% multiply(C,
% inverse(
% inverse(V_4))))),
% multiply(b1,multiply(C,
% inverse(
% inverse(
% multiply(V_3,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(V_3),V_3))),
% inverse(
% multiply(
% inverse(V_3),V_3))))))))))))) is composed into
% [30]
% multiply(inverse(multiply(V_3,B)),V_4) <->
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(b1,
% multiply(C,
% inverse(
% inverse(V_4))))),
% multiply(b1,multiply(C,
% inverse(
% inverse(
% multiply(V_3,
% inverse(
% multiply(
% inverse(b1),b1)))))))))))
% New rule produced : [92] multiply(inverse(A),A) <-> multiply(inverse(b1),b1)
% Rule
% [46]
% multiply(inverse(multiply(V_3,inverse(inverse(multiply(V_4,inverse(multiply(
% inverse(
% multiply(b1,A)),
% multiply(b1,
% inverse(
% inverse(
% multiply(b1,
% inverse(
% multiply(
% inverse(
% multiply(b1,
% inverse(
% multiply(
% inverse(V_4),V_4)))),
% multiply(b1,
% multiply(
% inverse(
% multiply(B,V_4)),
% inverse(
% inverse(
% multiply(b1,
% inverse(
% multiply(
% inverse(
% inverse(
% multiply(
% inverse(b1),b1))),
% inverse(
% multiply(
% inverse(b1),b1)))))))))))))))))))))),
% multiply(V_3,C)) -> multiply(inverse(A),multiply(B,C)) collapsed.
% Rule
% [68]
% multiply(inverse(multiply(A,B)),multiply(A,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))))) <->
% multiply(inverse(multiply(V_4,B)),multiply(V_4,inverse(multiply(inverse(
% multiply(V_5,V_3)),
% multiply(V_5,V_3)))))
% collapsed.
% Rule
% [79]
% multiply(inverse(multiply(A,B)),multiply(A,multiply(C,inverse(multiply(
% inverse(
% multiply(V_3,V_4)),
% multiply(V_3,V_4))))))
% <->
% multiply(inverse(multiply(V_5,B)),multiply(V_5,multiply(C,inverse(multiply(
% inverse(
% multiply(V_6,V_4)),
% multiply(V_6,V_4))))))
% collapsed.
% Rule
% [80]
% multiply(inverse(multiply(A,multiply(b1,inverse(multiply(inverse(multiply(B,C)),
% multiply(B,C)))))),multiply(A,V_3))
% <->
% multiply(inverse(multiply(V_4,multiply(b1,inverse(multiply(inverse(multiply(V_5,C)),
% multiply(V_5,C)))))),
% multiply(V_4,V_3)) collapsed.
% Rule
% [89]
% multiply(multiply(A,B),inverse(multiply(inverse(multiply(inverse(multiply(C,
% multiply(A,B))),
% multiply(C,inverse(inverse(V_3))))),
% inverse(multiply(inverse(multiply(V_4,B)),
% multiply(V_4,B)))))) -> V_3 collapsed.
% Rule
% [90]
% multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,
% inverse(
% inverse(
% multiply(
% multiply(B,C),
% inverse(V_3))))))),
% inverse(multiply(inverse(multiply(V_4,C)),multiply(V_4,C)))) -> V_3
% collapsed.
% Rule
% [91]
% multiply(inverse(multiply(B,inverse(multiply(inverse(multiply(C,V_3)),
% multiply(C,V_3))))),multiply(B,inverse(
% multiply(
% inverse(
% multiply(V_4,V_3)),
% multiply(V_4,V_3)))))
% <-> multiply(inverse(A),A) collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 4712
% Current number of ordered equations: 0
% Current number of rules: 33
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 18 rules have been used:
% [1]
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,inverse(C)))),
% inverse(multiply(inverse(A),A)))))) -> C; trace = in the starting set
% [2] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,C))),inverse(
% multiply(
% inverse(A),A))))))
% <->
% multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),
% inverse(multiply(inverse(V_3),V_3))))); trace = Self cp of 1
% [3] multiply(V_3,inverse(multiply(inverse(multiply(inverse(multiply(V_4,V_3)),
% multiply(V_4,inverse(C)))),
% inverse(multiply(inverse(V_3),V_3))))) <->
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),
% multiply(B,C))),inverse(
% multiply(
% inverse(A),A)))))); trace = Self cp of 1
% [4] inverse(inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(
% multiply(B,A)),
% multiply(B,C))),
% inverse(multiply(inverse(A),A)))))))
% -> C; trace = in the starting set
% [5] multiply(B,inverse(multiply(inverse(multiply(inverse(multiply(C,B)),
% multiply(C,inverse(inverse(A))))),
% inverse(multiply(inverse(B),B))))) -> A; trace = Cp of 3 and 2
% [6] inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),
% inverse(multiply(inverse(A),A)))))) <->
% multiply(inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(
% inverse(C))))),
% inverse(multiply(inverse(B),B))); trace = Cp of 5 and 2
% [7] multiply(inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,inverse(
% inverse(C))))),
% inverse(multiply(inverse(B),B))) <->
% inverse(multiply(A,inverse(multiply(inverse(multiply(inverse(multiply(B,A)),C)),
% inverse(multiply(inverse(A),A)))))); trace = Cp of 5 and 2
% [8] multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,inverse(
% inverse(
% multiply(C,
% inverse(A))))))),
% inverse(multiply(inverse(C),C))) -> A; trace = Cp of 6 and 3
% [10] multiply(A,inverse(inverse(multiply(B,inverse(multiply(inverse(multiply(
% inverse(
% multiply(A,B)),C)),
% inverse(multiply(inverse(B),B))))))))
% -> C; trace = Cp of 7 and 5
% [11] multiply(inverse(multiply(inverse(multiply(A,B)),multiply(A,C))),
% inverse(multiply(inverse(B),B))) <->
% multiply(inverse(multiply(inverse(multiply(V_3,B)),multiply(V_3,C))),
% inverse(multiply(inverse(B),B))); trace = Cp of 8 and 4
% [22] inverse(multiply(inverse(multiply(inverse(multiply(V_3,inverse(multiply(A,B)))),
% multiply(V_3,inverse(C)))),inverse(multiply(
% inverse(
% inverse(
% multiply(A,B))),
% inverse(
% multiply(A,B))))))
% ->
% multiply(A,inverse(inverse(multiply(B,inverse(multiply(C,inverse(
% multiply(
% inverse(B),B)))))))); trace = Cp of 10 and 3
% [23] multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(multiply(B,
% inverse(
% multiply(
% inverse(C),
% inverse(
% multiply(
% inverse(B),B)))))))))
% -> C; trace = Cp of 22 and 5
% [25] inverse(multiply(inverse(multiply(A,B)),multiply(A,inverse(inverse(
% multiply(B,
% inverse(
% multiply(C,
% inverse(
% multiply(
% inverse(B),B))))))))))
% -> C; trace = in the starting set
% [29] multiply(inverse(multiply(V_3,B)),multiply(V_3,C)) <->
% multiply(inverse(multiply(A,B)),multiply(A,C)); trace = Cp of 23 and 11
% [39] multiply(inverse(A),multiply(inverse(multiply(inverse(multiply(B,C)),
% multiply(B,inverse(inverse(
% multiply(C,
% inverse(A))))))),V_3))
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(inverse(C),C)))),
% multiply(V_4,V_3)); trace = Cp of 29 and 8
% [53] multiply(A,multiply(inverse(multiply(inverse(multiply(B,C)),multiply(B,
% inverse(
% inverse(
% multiply(C,A)))))),V_3))
% <->
% multiply(inverse(multiply(V_4,inverse(multiply(inverse(C),C)))),
% multiply(V_4,V_3)); trace = Cp of 39 and 25
% [90] multiply(inverse(multiply(inverse(multiply(A,multiply(B,C))),multiply(A,
% inverse(
% inverse(
% multiply(
% multiply(B,C),
% inverse(V_3))))))),
% inverse(multiply(inverse(multiply(V_4,C)),multiply(V_4,C)))) -> V_3; trace = Cp of 29 and 8
% [92] multiply(inverse(A),A) <-> multiply(inverse(b1),b1); trace = Cp of 90 and 53
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 122.020000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------