TSTP Solution File: GRP074-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP074-1 : TPTP v3.4.2. Bugfixed v2.3.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art07.cs.miami.edu
% Model : i686 unknown
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1000MB
% OS : Linux 2.4.22-21mdk-i686-up-4GB
% CPULimit : 600s
% Result : Unsatisfiable 0.0s
% Output : Assurance 0.0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP074-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: peq
%
% strategies selected:
% (hyper 30 #f 6 5)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 6 5)
% (binary-posweight-lex-big-order 30 #f 6 5)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% SOS clause
% -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)) | -equal(multiply(multiply(inverse(b2),b2),a2),a2) | -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% was split for some strategies as:
% -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)).
% -equal(multiply(multiply(inverse(b2),b2),a2),a2).
% -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(4,40,1,8,0,1,21869,4,752,21872,50,765,21872,40,765,21876,0,765)
%
%
% START OF PROOF
% 21873 [] equal(X,X).
% 21874 [] equal(divide(inverse(divide(divide(divide(X,X),Y),divide(Z,divide(Y,U)))),U),Z).
% 21875 [] equal(multiply(X,Y),divide(X,inverse(Y))).
% 21876 [] -equal(multiply(multiply(inverse(b2),b2),a2),a2) | -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))) | -equal(multiply(inverse(a1),a1),multiply(inverse(b1),b1)).
% 21877 [para:21874.1.1,21875.1.2,demod:21875] equal(multiply(inverse(divide(divide(divide(X,X),Y),divide(Z,multiply(Y,U)))),U),Z).
% 21878 [para:21875.1.2,21874.1.1.1.1.1] equal(divide(inverse(divide(multiply(divide(X,X),Y),divide(Z,divide(inverse(Y),U)))),U),Z).
% 21879 [para:21875.1.2,21874.1.1.1.1.1.1] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),divide(Z,divide(Y,U)))),U),Z).
% 21880 [para:21874.1.1,21874.1.1.1.1.2] equal(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,divide(Y,U)))))).
% 21881 [para:21874.1.1,21874.1.1.1.1.2.2,demod:21875] equal(divide(inverse(divide(multiply(divide(X,X),divide(divide(divide(Y,Y),Z),divide(U,divide(Z,V)))),divide(W,U))),V),W).
% 21884 [para:21874.1.1,21877.1.1.1.1.2] equal(multiply(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,multiply(Y,U)))))).
% 21887 [para:21878.1.1,21874.1.1.1.1.2] equal(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(multiply(divide(V,V),W),divide(Z,divide(inverse(W),divide(Y,U)))))).
% 21889 [para:21874.1.1,21878.1.1.1.1.2] equal(divide(inverse(divide(multiply(divide(X,X),Y),Z)),U),inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,divide(inverse(Y),U)))))).
% 21890 [para:21878.1.1,21877.1.1.1.1.2] equal(multiply(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(multiply(divide(V,V),W),divide(Z,divide(inverse(W),multiply(Y,U)))))).
% 21891 [para:21878.1.1,21878.1.1.1.1.2] equal(divide(inverse(divide(multiply(divide(X,X),Y),Z)),U),inverse(divide(multiply(divide(V,V),W),divide(Z,divide(inverse(W),divide(inverse(Y),U)))))).
% 21893 [para:21879.1.1,21874.1.1.1.1.2] equal(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(divide(multiply(inverse(V),V),W),divide(Z,divide(W,divide(Y,U)))))).
% 21897 [para:21879.1.1,21877.1.1.1.1.2] equal(multiply(inverse(divide(divide(divide(X,X),Y),Z)),U),inverse(divide(divide(multiply(inverse(V),V),W),divide(Z,divide(W,multiply(Y,U)))))).
% 21898 [para:21879.1.1,21878.1.1.1.1.2] equal(divide(inverse(divide(multiply(divide(X,X),Y),Z)),U),inverse(divide(divide(multiply(inverse(V),V),W),divide(Z,divide(W,divide(inverse(Y),U)))))).
% 21899 [para:21878.1.1,21879.1.1.1.1.2] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),inverse(divide(multiply(divide(V,V),W),divide(Z,divide(inverse(W),divide(Y,U)))))).
% 21901 [para:21879.1.1,21879.1.1.1.1.2] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),inverse(divide(divide(multiply(inverse(V),V),W),divide(Z,divide(W,divide(Y,U)))))).
% 21936 [para:21880.1.2,21874.1.1.1] equal(divide(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),divide(Y,U)),Z).
% 21978 [para:21875.1.2,21936.1.1.1,demod:21875] equal(divide(multiply(inverse(divide(divide(divide(X,X),Y),Z)),U),multiply(Y,U)),Z).
% 21979 [para:21875.1.2,21936.1.1.1.1.1] equal(divide(divide(inverse(multiply(divide(divide(X,X),Y),Z)),U),divide(Y,U)),inverse(Z)).
% 21980 [para:21875.1.2,21936.1.1.1.1.1.1] equal(divide(divide(inverse(divide(multiply(divide(X,X),Y),Z)),U),divide(inverse(Y),U)),Z).
% 21981 [para:21875.1.2,21936.1.1.1.1.1.1.1] equal(divide(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),divide(Y,U)),Z).
% 21982 [para:21936.1.1,21874.1.1.1.1.1,demod:21875] equal(divide(inverse(divide(X,divide(Y,divide(multiply(Z,divide(divide(divide(U,U),Z),X)),V)))),V),Y).
% 21995 [para:21936.1.1,21880.1.2.1.2,demod:21874] equal(inverse(divide(divide(divide(X,X),Y),Z)),inverse(divide(divide(divide(U,U),Y),Z))).
% 21998 [para:21880.1.2,21936.1.1.1.1] equal(divide(divide(divide(inverse(divide(divide(divide(X,X),Y),Z)),U),V),divide(W,V)),divide(Z,divide(W,divide(Y,U)))).
% 22001 [para:21936.1.1,21936.1.1.1.1.1.1,demod:21875] equal(divide(divide(inverse(divide(X,Y)),Z),divide(multiply(U,divide(divide(divide(V,V),U),X)),Z)),Y).
% 22005 [para:21875.1.2,21978.1.1.1.1.1.1.1] equal(divide(multiply(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),U),multiply(Y,U)),Z).
% 22021 [para:21875.1.2,21979.1.1.1.1.1.1] equal(divide(divide(inverse(multiply(multiply(divide(X,X),Y),Z)),U),divide(inverse(Y),U)),inverse(Z)).
% 22037 [para:21979.1.1,21880.1.2.1.2,demod:21875,21874] equal(inverse(multiply(divide(divide(X,X),Y),Z)),inverse(multiply(divide(divide(U,U),Y),Z))).
% 22081 [para:21981.1.1,21880.1.2.1.2,demod:21874] equal(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),inverse(divide(divide(divide(U,U),Y),Z))).
% 22147 [para:21995.1.1,21875.1.2.2,demod:21875] equal(multiply(X,divide(divide(divide(Y,Y),Z),U)),multiply(X,divide(divide(divide(V,V),Z),U))).
% 22218 [para:22037.1.1,21875.1.2.2,demod:21875] equal(multiply(X,multiply(divide(divide(Y,Y),Z),U)),multiply(X,multiply(divide(divide(V,V),Z),U))).
% 22220 [para:21875.1.2,22037.1.1.1.1.1] equal(inverse(multiply(divide(multiply(inverse(X),X),Y),Z)),inverse(multiply(divide(divide(U,U),Y),Z))).
% 22486 [para:22081.1.1,21875.1.2.2,demod:21875] equal(multiply(X,divide(divide(multiply(inverse(Y),Y),Z),U)),multiply(X,divide(divide(divide(V,V),Z),U))).
% 22754 [para:22220.1.1,21875.1.2.2,demod:21875] equal(multiply(X,multiply(divide(multiply(inverse(Y),Y),Z),U)),multiply(X,multiply(divide(divide(V,V),Z),U))).
% 23038 [para:21889.1.1,21881.1.1,demod:21874] equal(inverse(divide(divide(divide(X,X),Y),divide(divide(Z,U),divide(Y,U)))),Z).
% 23131 [para:21875.1.2,23038.1.1.1.1] equal(inverse(divide(multiply(divide(X,X),Y),divide(divide(Z,U),divide(inverse(Y),U)))),Z).
% 23133 [para:21875.1.2,23038.1.1.1.2.1,demod:21875] equal(inverse(divide(divide(divide(X,X),Y),divide(multiply(Z,U),multiply(Y,U)))),Z).
% 23146 [para:23038.1.1,21936.1.1.1.1] equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,U),divide(Z,U))).
% 23147 [para:21936.1.1,23038.1.1.1.1,demod:21875] equal(inverse(divide(X,divide(divide(Y,Z),divide(multiply(U,divide(divide(divide(V,V),U),X)),Z)))),Y).
% 23149 [para:23038.1.1,21978.1.1.1.1] equal(divide(multiply(X,Y),multiply(Z,Y)),divide(divide(X,U),divide(Z,U))).
% 23193 [para:23146.1.1,21874.1.1.1.1.1] equal(divide(inverse(divide(divide(divide(X,Y),divide(Z,Y)),divide(U,divide(divide(Z,X),V)))),V),U).
% 23196 [para:21874.1.1,23146.1.1.2] equal(divide(divide(X,Y),Z),divide(divide(X,U),divide(inverse(divide(divide(divide(V,V),W),divide(Z,divide(W,Y)))),U))).
% 23197 [para:23146.1.1,21877.1.1.1.1.1] equal(multiply(inverse(divide(divide(divide(X,Y),divide(Z,Y)),divide(U,multiply(divide(Z,X),V)))),V),U).
% 23215 [para:23146.1.1,21936.1.1.1.1.1] equal(divide(divide(inverse(divide(divide(divide(X,X),Y),divide(Z,Y))),U),divide(V,U)),divide(Z,V)).
% 23218 [para:21936.1.1,23146.1.1.2] equal(divide(divide(X,divide(Y,Z)),U),divide(divide(X,V),divide(divide(inverse(divide(divide(divide(W,W),Y),U)),Z),V))).
% 23296 [para:21875.1.2,23149.1.2.1,demod:21875] equal(divide(multiply(X,Y),multiply(Z,Y)),divide(multiply(X,U),multiply(Z,U))).
% 23613 [para:23133.1.1,21875.1.2.2] equal(multiply(X,divide(divide(divide(Y,Y),Z),divide(multiply(U,V),multiply(Z,V)))),divide(X,U)).
% 23614 [para:21875.1.2,23133.1.1.1.1.1] equal(inverse(divide(divide(multiply(inverse(X),X),Y),divide(multiply(Z,U),multiply(Y,U)))),Z).
% 24182 [para:21936.1.1,22147.1.1.2.1,demod:21875] equal(multiply(X,divide(Y,Z)),multiply(X,divide(divide(divide(U,U),multiply(V,divide(divide(divide(W,W),V),Y))),Z))).
% 24468 [para:21979.1.1,22218.1.1.2.1,demod:21875] equal(multiply(X,multiply(inverse(Y),Z)),multiply(X,multiply(divide(divide(U,U),multiply(V,multiply(divide(divide(W,W),V),Y))),Z))).
% 28140 [para:23215.1.1,23146.1.1.1,demod:21998] equal(divide(divide(X,Y),divide(Z,divide(Y,U))),divide(divide(X,V),divide(Z,divide(V,U)))).
% 28141 [para:23215.1.1,23146.1.1.2,demod:23218] equal(divide(divide(X,divide(Y,Z)),divide(U,Y)),divide(divide(X,divide(V,Z)),divide(U,V))).
% 28216 [para:23215.1.1,22001.1.1] equal(divide(X,multiply(Y,divide(divide(divide(Z,Z),Y),divide(divide(U,U),V)))),divide(X,V)).
% 29125 [para:28216.1.1,21936.1.1.1.1.1,demod:21936] equal(X,multiply(Y,divide(divide(divide(Z,Z),Y),divide(divide(U,U),X)))).
% 29262 [para:23146.1.1,29125.1.2.2] equal(X,multiply(X,divide(divide(divide(Y,Y),Z),divide(divide(U,U),Z)))).
% 29347 [para:21880.1.1,29262.1.2.2.2.1,demod:24182,23196,21875] equal(X,multiply(X,divide(Y,Y))).
% 29351 [para:21979.1.1,29262.1.2.2.2,demod:24468,21875] equal(X,multiply(X,multiply(inverse(Y),Y))).
% 29359 [para:29262.1.2,22005.1.1.1,demod:29262] equal(divide(inverse(divide(divide(multiply(inverse(X),X),Y),Z)),Y),Z).
% 29385 [para:29262.1.2,23149.1.1.1,demod:29262] equal(divide(X,Y),divide(divide(X,Z),divide(Y,Z))).
% 29388 [para:23149.1.1,29262.1.2.2.1.1,demod:29385] equal(X,multiply(X,divide(divide(Y,Y),divide(Z,Z)))).
% 29390 [para:29262.1.2,23296.1.1.1,demod:29388,29385] equal(divide(X,Y),divide(multiply(X,Z),multiply(Y,Z))).
% 29393 [para:29262.1.2,23133.1.1.1.2.1,demod:29388,29385] equal(inverse(divide(divide(X,X),Y)),Y).
% 29394 [para:29262.1.2,23131.1.1.1.1,demod:29393,29385] equal(divide(X,divide(Y,Y)),X).
% 29396 [para:29262.1.2,23614.1.1.1.2.1,demod:29347,29394,29385] equal(inverse(divide(multiply(inverse(X),X),Y)),Y).
% 29421 [para:29262.1.2,23613.1.1.2.2.1,demod:29347,29394,29385] equal(multiply(X,divide(divide(Y,Y),Z)),divide(X,Z)).
% 29437 [para:29262.1.2,22754.1.1.2,demod:29421,29347,29394,29385] equal(multiply(X,divide(multiply(inverse(Y),Y),Z)),divide(X,Z)).
% 29462 [para:29347.1.2,22021.1.1.1.1.1.1,demod:29347,21875,29385] equal(inverse(multiply(divide(X,X),Y)),inverse(Y)).
% 29480 [para:29347.1.2,22486.1.1,demod:29421,29385] equal(X,divide(X,multiply(inverse(Y),Y))).
% 29491 [para:29394.1.1,21936.1.1.1.1.1,demod:29385,29393] equal(divide(X,X),divide(Y,Y)).
% 29492 [para:29394.1.1,21980.1.1.1.1.1,demod:21875,29385,29462] equal(multiply(inverse(X),X),divide(Y,Y)).
% 29532 [para:29394.1.1,21982.1.1.1.1] equal(divide(inverse(X),Y),divide(multiply(Z,divide(divide(divide(U,U),Z),X)),Y)).
% 29535 [para:21982.1.1,29394.1.1,demod:21875,29394,29532] equal(X,inverse(divide(Y,multiply(X,Y)))).
% 29553 [para:29394.1.1,23147.1.1.1] equal(inverse(X),multiply(Y,divide(divide(divide(Z,Z),Y),X))).
% 29559 [para:29394.1.1,23193.1.1.1.1,demod:29385] equal(divide(inverse(divide(X,Y)),Z),divide(divide(Y,X),Z)).
% 29562 [para:29394.1.1,23197.1.1.1.1,demod:29385] equal(multiply(inverse(divide(X,Y)),Z),multiply(divide(Y,X),Z)).
% 29565 [para:29394.1.1,28140.1.1.2] equal(divide(divide(X,Y),Z),divide(divide(X,U),divide(Z,divide(U,Y)))).
% 29566 [para:29394.1.1,28140.1.2.1,demod:29565] equal(divide(divide(X,Y),Z),divide(X,divide(Z,divide(divide(U,U),Y)))).
% 29567 [para:29394.1.1,28141.1.1] equal(divide(X,divide(Y,Z)),divide(divide(X,divide(U,Z)),divide(Y,U))).
% 29568 [para:29394.1.1,28141.1.1.2,demod:29567] equal(divide(divide(X,divide(divide(Y,Y),Z)),U),divide(X,divide(U,Z))).
% 29623 [para:21936.1.1,21901.1.2.1.2.2,demod:29396,29567,29568,29559] equal(divide(divide(X,divide(multiply(inverse(Y),Y),Z)),U),divide(X,divide(U,Z))).
% 29634 [para:21901.1.2,21981.1.1.1.1,demod:29385,29623,29559] equal(divide(divide(X,divide(Y,Z)),U),divide(X,divide(U,divide(Z,Y)))).
% 29652 [para:22005.1.1,21901.1.1.1.1.1,demod:29396,29634,29565,29559] equal(divide(divide(X,Y),Z),divide(X,divide(Z,multiply(U,divide(divide(multiply(inverse(V),V),U),Y))))).
% 29714 [para:21901.1.1,21887.1.1.1.1.1.1,demod:29351,29634,29559,29394,29385,29652,21875] equal(divide(X,divide(Y,Z)),inverse(divide(multiply(divide(U,U),V),divide(X,divide(inverse(V),divide(Z,Y)))))).
% 29780 [para:21901.1.2,21891.1.2.1.2.2.1,demod:29393,21875,29566,29567,29623,29437,29634,29565,29559] equal(divide(divide(X,multiply(divide(Y,Y),Z)),U),divide(X,multiply(U,Z))).
% 29864 [para:22001.1.1,21901.1.2.1.2,demod:21875,29553,29359,29565,29559] equal(divide(X,Y),inverse(divide(multiply(multiply(inverse(Z),Z),Y),X))).
% 29880 [para:21901.1.2,21898.1.2,demod:29864,21875,29780,29559] equal(divide(X,multiply(Y,Z)),divide(divide(X,Z),Y)).
% 29922 [para:21901.1.1,21899.1.1,demod:29714,29396,29880] equal(multiply(divide(X,divide(Y,divide(Z,U))),Y),divide(X,divide(U,Z))).
% 29926 [para:21901.1.1,21899.1.2.1.2,demod:29714,29634,29922,29396,29880] equal(divide(multiply(multiply(X,Y),Z),U),divide(X,divide(U,multiply(Y,Z)))).
% 29929 [para:21901.1.1,21899.1.2.1.2.2.2,demod:29714,29922,29396,29880] equal(divide(multiply(X,multiply(Y,Z)),U),divide(X,divide(U,multiply(Y,Z)))).
% 29943 [para:21901.1.1,23215.1.1.1.1.1.2,demod:29567,29634,29929,29559,29396,29922,29880] equal(divide(X,divide(Y,divide(Z,multiply(divide(U,multiply(V,U)),V)))),divide(multiply(X,Z),Y)).
% 29946 [para:23215.1.1,21901.1.2.1.2.2.2,demod:29922,29385,29396,29943,29634,29929,29559,29880] equal(divide(multiply(X,Y),Z),divide(X,divide(Z,Y))).
% 29953 [para:28140.1.1,21901.1.1.1.1,demod:29480,29880,29559,29567,29634,29946] equal(divide(X,divide(Y,Z)),inverse(divide(inverse(U),divide(X,divide(U,divide(Z,Y)))))).
% 29988 [para:29394.1.1,21901.1.2.1,demod:29394,29480,29880,29559,29567,29634,29946] equal(X,inverse(divide(inverse(Y),divide(X,Y)))).
% 29989 [para:29394.1.1,21901.1.2.1.1,demod:29953,29480,29880,29559,29634,29946] equal(divide(X,divide(Y,Z)),divide(X,divide(U,multiply(divide(Z,Y),U)))).
% 30003 [para:29491.1.1,21878.1.1.1.1.2,demod:29535,29880,29946] equal(divide(X,multiply(Y,multiply(Z,X))),divide(inverse(Z),Y)).
% 30011 [para:29491.1.1,21880.1.2.1.2,demod:29394,29480,29634,29559,30003,29880] equal(X,inverse(inverse(X))).
% 30012 [para:29491.1.1,21880.1.2.1.2.2,demod:29394,29946,21875,29559,30003,29880] equal(divide(X,divide(Y,Z)),inverse(divide(Y,multiply(X,Z)))).
% 30032 [para:29491.1.1,21884.1.2.1.1,demod:29989,29926,29634,30012,21875,29562,30003,29880] equal(multiply(multiply(X,Y),Z),divide(X,divide(inverse(Z),Y))).
% 30047 [para:29491.1.1,22081.1.2.1.1.1,demod:30003,29880,29634,29946] equal(inverse(divide(inverse(X),divide(Y,divide(X,Z)))),inverse(divide(inverse(Z),Y))).
% 30068 [para:29491.1.1,23146.1.1.1,demod:29385,29880] equal(divide(X,multiply(divide(Y,Z),X)),divide(Z,Y)).
% 30069 [para:29491.1.1,23146.1.1.2,demod:29385,29880] equal(divide(X,multiply(divide(Y,Y),Z)),divide(X,Z)).
% 30071 [para:29491.1.1,21890.1.1.1.1.1,demod:29946,29390,30032,30069,29394,30012,29880] equal(multiply(X,Y),divide(X,divide(Z,multiply(Y,Z)))).
% 30072 [para:29491.1.1,21890.1.1.1.1.1.1,demod:30071,29929,30012,29390,30032,21875,29562,30003,29880] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 30074 [para:29491.1.1,21891.1.1.1.1,demod:29394,30012,29390,21875,30003,30071,29929,29946,30072,30032,29880,29559] equal(divide(X,multiply(Y,X)),inverse(Y)).
% 30082 [para:29491.1.1,21893.1.2.1.1,demod:30003,30012,30072,30032,29946,21875,29559,30074,29880] equal(divide(X,divide(Y,Z)),multiply(X,multiply(divide(Z,multiply(U,Y)),U))).
% 30095 [para:29491.1.1,21897.1.1.1.1,demod:29988,30082,30072,30032,29567,29634,30074,29880,29946,29562] equal(multiply(divide(X,X),Y),Y).
% 30096 [para:29491.1.1,21897.1.1.1.1.1,demod:30047,29567,29634,30095,29946,30011,30074,29880] equal(multiply(X,Y),inverse(divide(inverse(Y),X))).
% 30108 [para:29491.1.1,23197.1.1.1.1.1,demod:29562,30068,29880,30095] equal(multiply(divide(X,Y),Y),X).
% 30118 [para:21995.1.1,30011.1.2.1,demod:30096,30074,29880] equal(divide(inverse(X),Y),inverse(multiply(Y,X))).
% 30130 [para:30108.1.1,22220.1.1.1,demod:30074,29880,21875,30118] equal(multiply(inverse(X),X),multiply(inverse(Y),Y)).
% 30137 [para:29492.1.1,21876.1.1.1,demod:30072,30095,cut:21873,cut:21873,cut:30130] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using unit strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 4
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 518
% derived clauses: 569050
% kept clauses: 29726
% kept size sum: 0
% kept mid-nuclei: 0
% kept new demods: 4042
% forw unit-subs: 149370
% forw double-subs: 0
% forw overdouble-subs: 527
% backward subs: 22
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 8.73
% process. runtime: 8.70
% specific non-discr-tree subsumption statistics:
% tried: 527
% length fails: 0
% strength fails: 0
% predlist fails: 0
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 0
% full subs fail: 0
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP074-1+eq_r.in")
%
%------------------------------------------------------------------------------