TSTP Solution File: GRP245-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP245-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art06.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 20.0s
% Output : Assurance 20.0s
% 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/GRP245-1+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 3 25)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 25)
% (binary-posweight-lex-big-order 30 #f 3 25)
% (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(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10) | -equal(multiply(Y,sk_c9),sk_c8) | -equal(inverse(Y),sk_c9) | -equal(inverse(Z),sk_c10) | -equal(multiply(Z,sk_c9),sk_c10) | -equal(inverse(U),sk_c10) | -equal(multiply(U,sk_c9),sk_c10) | -equal(inverse(V),sk_c9) | -equal(multiply(V,sk_c8),sk_c9) | -equal(multiply(W,X1),sk_c9) | -equal(inverse(W),X1) | -equal(multiply(X1,sk_c8),sk_c9).
% was split for some strategies as:
% -equal(multiply(W,X1),sk_c9) | -equal(inverse(W),X1) | -equal(multiply(X1,sk_c8),sk_c9).
% -equal(inverse(V),sk_c9) | -equal(multiply(V,sk_c8),sk_c9).
% -equal(inverse(U),sk_c10) | -equal(multiply(U,sk_c9),sk_c10).
% -equal(inverse(Z),sk_c10) | -equal(multiply(Z,sk_c9),sk_c10).
% -equal(multiply(Y,sk_c9),sk_c8) | -equal(inverse(Y),sk_c9).
% -equal(multiply(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(47,40,0,101,0,0,249029,5,1501,249030,1,1501,249030,50,1501,249030,40,1501,249084,0,1501,261090,3,1802,261721,4,1952,262286,5,2102,262287,1,2102,262287,50,2102,262287,40,2102,262341,0,2102,262780,3,2404,262791,4,2565,262847,5,2703,262847,1,2703,262847,50,2703,262847,40,2703,262901,0,2703)
%
%
% START OF PROOF
% 262535 [?] ?
% 262848 [] equal(X,X).
% 262849 [] equal(multiply(identity,X),X).
% 262850 [] equal(multiply(inverse(X),X),identity).
% 262851 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 262858 [] equal(multiply(sk_c3,sk_c9),sk_c10) | equal(multiply(sk_c4,sk_c9),sk_c10).
% 262859 [] equal(multiply(sk_c3,sk_c9),sk_c10) | equal(inverse(sk_c4),sk_c10).
% 262860 [] equal(multiply(sk_c7,sk_c8),sk_c9) | equal(inverse(sk_c3),sk_c10).
% 262861 [] equal(inverse(sk_c3),sk_c10) | equal(inverse(sk_c6),sk_c7).
% 262862 [] equal(multiply(sk_c6,sk_c7),sk_c9) | equal(inverse(sk_c3),sk_c10).
% 262863 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c3),sk_c10).
% 262864 [] equal(inverse(sk_c3),sk_c10) | equal(inverse(sk_c5),sk_c9).
% 262865 [] equal(multiply(sk_c4,sk_c9),sk_c10) | equal(inverse(sk_c3),sk_c10).
% 262866 [] equal(inverse(sk_c3),sk_c10) | equal(inverse(sk_c4),sk_c10).
% 262867 [] equal(multiply(sk_c7,sk_c8),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 262868 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c6),sk_c7).
% 262869 [] equal(multiply(sk_c6,sk_c7),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 262870 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 262871 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c5),sk_c9).
% 262875 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(inverse(sk_c6),sk_c7).
% 262876 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c6,sk_c7),sk_c9).
% 262877 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 262878 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(inverse(sk_c5),sk_c9).
% 262881 [] equal(multiply(sk_c7,sk_c8),sk_c9) | equal(inverse(sk_c1),sk_c10).
% 262882 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c6),sk_c7).
% 262883 [] equal(multiply(sk_c6,sk_c7),sk_c9) | equal(inverse(sk_c1),sk_c10).
% 262884 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c1),sk_c10).
% 262885 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c5),sk_c9).
% 262887 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c4),sk_c10).
% 262888 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(multiply(sk_c7,sk_c8),sk_c9).
% 262889 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(inverse(sk_c6),sk_c7).
% 262890 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(multiply(sk_c6,sk_c7),sk_c9).
% 262891 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 262892 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(inverse(sk_c5),sk_c9).
% 262894 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(inverse(sk_c4),sk_c10).
% 262895 [] $spltprd0($spltcnst19) | -equal(multiply(X,sk_c8),sk_c9) | -equal(multiply(Y,X),sk_c9) | -equal(inverse(Y),X).
% 262896 [] $spltprd0($spltcnst20) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c9).
% 262897 [] $spltprd0($spltcnst21) | -equal(multiply(X,sk_c9),sk_c10) | -equal(inverse(X),sk_c10).
% 262898 [] $spltprd0($spltcnst22) | -equal(multiply(X,sk_c9),sk_c10) | -equal(inverse(X),sk_c10).
% 262899 [] $spltprd0($spltcnst23) | -equal(multiply(X,sk_c9),sk_c8) | -equal(inverse(X),sk_c9).
% 262900 [] $spltprd0($spltcnst24) | -equal(multiply(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10).
% 262901 [] -$spltprd0($spltcnst20) | -$spltprd0($spltcnst19) | -$spltprd0($spltcnst21) | -$spltprd0($spltcnst23) | -$spltprd0($spltcnst22) | -$spltprd0($spltcnst24).
% 262913 [para:262864.2.1,262850.1.1.1] equal(multiply(sk_c9,sk_c5),identity) | equal(inverse(sk_c3),sk_c10).
% 262924 [para:262871.1.1,262850.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(inverse(sk_c5),sk_c9).
% 262925 [para:262871.2.1,262850.1.1.1] equal(multiply(sk_c9,sk_c5),identity) | equal(inverse(sk_c2),sk_c9).
% 262930 [para:262882.1.1,262850.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(inverse(sk_c6),sk_c7).
% 262935 [para:262885.1.1,262850.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(inverse(sk_c5),sk_c9).
% 262965 [para:262870.2.1,262850.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 262980 [para:262883.2.1,262850.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(multiply(sk_c6,sk_c7),sk_c9).
% 263038 [para:262867.1.1,262895.2.1,cut:262848] equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c7),sk_c9) | -equal(inverse(X),sk_c7).
% 263041 [para:262881.1.1,262895.2.1,cut:262848] equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c7),sk_c9) | -equal(inverse(X),sk_c7).
% 263045 [para:262888.2.1,262895.2.1,cut:262848] equal(multiply(sk_c1,sk_c10),sk_c9) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c7),sk_c9) | -equal(inverse(X),sk_c7).
% 263057 [para:262849.1.1,262896.2.1] -equal(inverse(identity),sk_c9) | -equal(sk_c8,sk_c9) | $spltprd0($spltcnst20).
% 263061 [para:262863.1.1,262896.2.1,cut:262848] -equal(inverse(sk_c5),sk_c9) | equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst20).
% 263064 [para:262870.1.1,262896.2.1,cut:262848] -equal(inverse(sk_c5),sk_c9) | equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst20).
% 263066 [para:262884.1.1,262896.2.1,cut:262848] -equal(inverse(sk_c5),sk_c9) | equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst20).
% 263068 [para:262877.2.1,262896.2.1,cut:262848] equal(multiply(sk_c2,sk_c9),sk_c8) | -equal(inverse(sk_c5),sk_c9) | $spltprd0($spltcnst20).
% 263070 [para:262891.2.1,262896.2.1,cut:262848] equal(multiply(sk_c1,sk_c10),sk_c9) | -equal(inverse(sk_c5),sk_c9) | $spltprd0($spltcnst20).
% 263077 [para:262864.2.1,263061.1.1,cut:262848] equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst20).
% 263079 [para:263077.1.1,262850.1.1.1] equal(multiply(sk_c10,sk_c3),identity) | $spltprd0($spltcnst20).
% 263089 [para:262859.1.1,262897.2.1,cut:262848,binarycut:262866] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst21).
% 263092 [para:262865.1.1,262897.2.1,cut:262848,binarycut:263089] equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst21).
% 263098 [para:262858.1.1,262897.2.1,cut:262848,binarycut:263092] equal(multiply(sk_c4,sk_c9),sk_c10) | $spltprd0($spltcnst21).
% 263125 [para:262859.1.1,262898.2.1,cut:262848,binarycut:262866] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst22).
% 263128 [para:262865.1.1,262898.2.1,cut:262848,binarycut:263125] equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst22).
% 263134 [para:262858.1.1,262898.2.1,cut:262848,binarycut:263128] equal(multiply(sk_c4,sk_c9),sk_c10) | $spltprd0($spltcnst22).
% 263156 [para:262849.1.1,262899.2.1] -equal(inverse(identity),sk_c9) | -equal(sk_c9,sk_c8) | $spltprd0($spltcnst23).
% 263167 [para:262875.1.1,262899.2.1,cut:262848,binarycut:262868] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst23).
% 263169 [para:262878.1.1,262899.2.1,cut:262848,binarycut:262871] equal(inverse(sk_c5),sk_c9) | $spltprd0($spltcnst23).
% 263195 [para:262889.1.1,262900.2.1,cut:262848,binarycut:262882] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst24).
% 263199 [para:262894.1.1,262900.2.1,cut:262848,binarycut:262887] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst24).
% 263211 [para:263167.1.1,262850.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | $spltprd0($spltcnst23).
% 263213 [para:263169.1.1,262850.1.1.1] equal(multiply(sk_c9,sk_c5),identity) | $spltprd0($spltcnst23).
% 263219 [para:263195.1.1,262850.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | $spltprd0($spltcnst24).
% 263223 [para:263199.1.1,262850.1.1.1] equal(multiply(sk_c10,sk_c4),identity) | $spltprd0($spltcnst24).
% 263226 [para:262850.1.1,262851.1.1.1,demod:262849] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 263311 [para:263079.1.1,262851.1.1.1,demod:262849] $spltprd0($spltcnst20) | equal(X,multiply(sk_c10,multiply(sk_c3,X))).
% 263320 [para:263098.1.1,262897.2.1,cut:262848,binarycut:263089] $spltprd0($spltcnst21).
% 263345 [para:263134.1.1,262898.2.1,cut:262848,binarycut:263125] $spltprd0($spltcnst22).
% 263382 [para:262860.1.1,263226.1.2.2] equal(sk_c8,multiply(inverse(sk_c7),sk_c9)) | equal(inverse(sk_c3),sk_c10).
% 263383 [para:262862.1.1,263226.1.2.2] equal(sk_c7,multiply(inverse(sk_c6),sk_c9)) | equal(inverse(sk_c3),sk_c10).
% 263483 [para:263079.1.1,263226.1.2.2] equal(sk_c3,multiply(inverse(sk_c10),identity)) | $spltprd0($spltcnst20).
% 263484 [para:263211.1.1,263226.1.2.2] equal(sk_c6,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst23).
% 263485 [para:263213.1.1,263226.1.2.2] equal(sk_c5,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst23).
% 263487 [para:263219.1.1,263226.1.2.2] equal(sk_c6,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst24).
% 263489 [para:263223.1.1,263226.1.2.2] equal(sk_c4,multiply(inverse(sk_c10),identity)) | $spltprd0($spltcnst24).
% 263490 [para:263311.2.2,263226.1.2.2] $spltprd0($spltcnst20) | equal(multiply(sk_c3,X),multiply(inverse(sk_c10),X)).
% 263501 [para:263484.1.2,262851.1.1.1,demod:262849] $spltprd0($spltcnst23) | equal(multiply(sk_c6,X),multiply(inverse(sk_c7),X)).
% 263503 [para:263485.1.2,262851.1.1.1,demod:262849] $spltprd0($spltcnst23) | equal(multiply(sk_c5,X),multiply(inverse(sk_c9),X)).
% 263521 [para:263487.1.2,262851.1.1.1,demod:262849] $spltprd0($spltcnst24) | equal(multiply(sk_c6,X),multiply(inverse(sk_c7),X)).
% 263525 [para:263489.1.2,262851.1.1.1,demod:262849] $spltprd0($spltcnst24) | equal(multiply(sk_c4,X),multiply(inverse(sk_c10),X)).
% 263633 [para:263490.2.2,262850.1.1] equal(multiply(sk_c3,sk_c10),identity) | $spltprd0($spltcnst20).
% 263639 [para:263490.2.2,263226.1.2] $spltprd0($spltcnst20) | equal(X,multiply(sk_c3,multiply(sk_c10,X))).
% 263641 [para:263490.2.2,263483.1.2] equal(sk_c3,multiply(sk_c3,identity)) | $spltprd0($spltcnst20).
% 263799 [para:263501.2.2,262850.1.1] equal(multiply(sk_c6,sk_c7),identity) | $spltprd0($spltcnst23).
% 263813 [para:263799.1.1,262869.1.1] equal(inverse(sk_c2),sk_c9) | equal(identity,sk_c9) | $spltprd0($spltcnst23).
% 263895 [para:263813.2.2,262925.1.1.1,demod:262849] equal(inverse(sk_c2),sk_c9) | equal(sk_c5,identity) | $spltprd0($spltcnst23).
% 263905 [para:263813.2.2,263156.1.2,cut:262535] equal(inverse(sk_c2),sk_c9) | -equal(sk_c9,sk_c8) | $spltprd0($spltcnst23).
% 263956 [para:263895.2.1,262870.1.1.1,demod:262849] equal(inverse(sk_c2),sk_c9) | equal(sk_c8,sk_c9) | $spltprd0($spltcnst23).
% 264054 [para:263956.2.1,263905.2.2,cut:262848] equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst23).
% 264173 [para:263503.2.2,262850.1.1] equal(multiply(sk_c5,sk_c9),identity) | $spltprd0($spltcnst23).
% 264186 [para:264173.1.1,262899.2.1,binarycut:263169] -equal(identity,sk_c8) | $spltprd0($spltcnst23).
% 264352 [para:263521.2.2,262850.1.1] equal(multiply(sk_c6,sk_c7),identity) | $spltprd0($spltcnst24).
% 264368 [para:264352.1.1,262883.1.1] equal(inverse(sk_c1),sk_c10) | equal(identity,sk_c9) | $spltprd0($spltcnst24).
% 264774 [para:263525.2.2,262850.1.1] equal(multiply(sk_c4,sk_c10),identity) | $spltprd0($spltcnst24).
% 264796 [para:264774.1.1,262900.2.1,binarycut:263199] -equal(identity,sk_c9) | $spltprd0($spltcnst24).
% 264802 [para:264368.2.2,264796.1.2,cut:262848] equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst24).
% 264898 [para:262871.2.1,263064.1.1,cut:262848] equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst20).
% 264900 [para:264898.1.1,262850.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | $spltprd0($spltcnst20).
% 264935 [para:262885.2.1,263066.1.1,cut:262848] equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst20).
% 264937 [para:264935.1.1,262850.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | $spltprd0($spltcnst20).
% 264948 [para:264937.1.1,263639.2.2.2] equal(sk_c1,multiply(sk_c3,identity)) | $spltprd0($spltcnst20).
% 264957 [para:264948.1.2,263641.1.2] equal(sk_c3,sk_c1) | $spltprd0($spltcnst20).
% 264978 [para:262878.2.1,263068.2.1,cut:262848] equal(multiply(sk_c2,sk_c9),sk_c8) | $spltprd0($spltcnst20).
% 265008 [para:262892.2.1,263070.2.1,cut:262848] equal(multiply(sk_c1,sk_c10),sk_c9) | $spltprd0($spltcnst20).
% 265015 [para:264957.1.2,265008.1.1.1] equal(multiply(sk_c3,sk_c10),sk_c9) | $spltprd0($spltcnst20).
% 265022 [para:265015.1.1,263633.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst20).
% 265047 [para:265022.1.1,263057.1.2,cut:262535] -equal(sk_c8,sk_c9) | $spltprd0($spltcnst20).
% 265065 [para:265022.1.1,264900.1.1.1,demod:262849] equal(sk_c2,identity) | $spltprd0($spltcnst20).
% 265107 [para:265065.1.1,264978.1.1.1,demod:262849] equal(sk_c9,sk_c8) | $spltprd0($spltcnst20).
% 265120 [para:265107.1.2,265047.1.1,cut:262848] $spltprd0($spltcnst20).
% 265121 [binary:262901,265120,cut:263320,cut:263345] -$spltprd0($spltcnst23) | -$spltprd0($spltcnst24) | -$spltprd0($spltcnst19).
% 265377 [para:262876.1.1,262899.2.1,cut:262848,binarycut:264054] equal(multiply(sk_c6,sk_c7),sk_c9) | $spltprd0($spltcnst23).
% 265381 [para:265377.1.1,263799.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst23).
% 265382 [para:263799.1.1,265377.1.1] equal(identity,sk_c9) | $spltprd0($spltcnst23).
% 265399 [para:265381.1.1,263213.1.1.1,demod:262849] equal(sk_c5,identity) | $spltprd0($spltcnst23).
% 265433 [para:262877.1.1,262899.2.1,cut:262848,binarycut:264054] equal(multiply(sk_c5,sk_c8),sk_c9) | $spltprd0($spltcnst23).
% 265458 [para:265399.1.1,265433.1.1.1,demod:262849] equal(sk_c8,sk_c9) | $spltprd0($spltcnst23).
% 265485 [para:265458.1.1,264186.1.2,binarycut:265382] $spltprd0($spltcnst23).
% 265487 [binary:265121,265485] -$spltprd0($spltcnst24) | -$spltprd0($spltcnst19).
% 265594 [para:262890.1.1,262900.2.1,cut:262848,binarycut:264802] equal(multiply(sk_c6,sk_c7),sk_c9) | $spltprd0($spltcnst24).
% 265600 [para:264352.1.1,265594.1.1,binarycut:264796] $spltprd0($spltcnst24).
% 265602 [binary:265487,265600] -$spltprd0($spltcnst19).
% 265833 [para:262861.2.1,263383.1.2.1] equal(sk_c7,multiply(sk_c7,sk_c9)) | equal(inverse(sk_c3),sk_c10).
% 265844 [para:265833.1.2,263226.1.2.2,demod:262850] equal(inverse(sk_c3),sk_c10) | equal(sk_c9,identity).
% 265852 [para:265844.2.1,262913.1.1.1,demod:262849] equal(inverse(sk_c3),sk_c10) | equal(sk_c5,identity).
% 265878 [para:265852.2.1,262863.1.1.1,demod:262849] equal(inverse(sk_c3),sk_c10) | equal(sk_c8,sk_c9).
% 265889 [para:265878.2.1,262860.1.1.2] equal(multiply(sk_c7,sk_c9),sk_c9) | equal(inverse(sk_c3),sk_c10).
% 266079 [para:265889.1.1,265833.1.2] equal(inverse(sk_c3),sk_c10) | equal(sk_c7,sk_c9).
% 266097 [para:266079.2.1,263382.1.2.1.1,demod:262850] equal(inverse(sk_c3),sk_c10) | equal(sk_c8,identity).
% 266115 [para:266097.2.1,262895.2.1.2,cut:265602,factor:cut:262535] equal(inverse(sk_c3),sk_c10) | -equal(identity,sk_c9).
% 266133 [para:265844.2.1,266115.2.2,cut:262848] equal(inverse(sk_c3),sk_c10).
% 266134 [para:266133.1.1,262850.1.1.1] equal(multiply(sk_c10,sk_c3),identity).
% 266136 [para:266134.1.1,263226.1.2.2] equal(sk_c3,multiply(inverse(sk_c10),identity)).
% 266137 [para:266136.1.2,262851.1.1.1,demod:262849] equal(multiply(sk_c3,X),multiply(inverse(sk_c10),X)).
% 266161 [para:266137.1.2,262850.1.1] equal(multiply(sk_c3,sk_c10),identity).
% 266165 [para:266137.1.2,263226.1.2] equal(X,multiply(sk_c3,multiply(sk_c10,X))).
% 266186 [para:266137.1.2,266136.1.2] equal(sk_c3,multiply(sk_c3,identity)).
% 266210 [para:262930.1.1,266165.1.2.2,demod:266186] equal(inverse(sk_c6),sk_c7) | equal(sk_c1,sk_c3).
% 266211 [para:262935.1.1,266165.1.2.2,demod:266186] equal(inverse(sk_c5),sk_c9) | equal(sk_c1,sk_c3).
% 266217 [para:262980.1.1,266165.1.2.2,demod:266186] equal(multiply(sk_c6,sk_c7),sk_c9) | equal(sk_c1,sk_c3).
% 266235 [para:266210.2.1,262889.1.1.1,demod:266161] equal(inverse(sk_c6),sk_c7) | equal(identity,sk_c9).
% 266239 [para:266211.2.1,262892.1.1.1,demod:266161] equal(inverse(sk_c5),sk_c9) | equal(identity,sk_c9).
% 266286 [para:266239.2.2,262924.1.1.1,demod:262849] equal(inverse(sk_c5),sk_c9) | equal(sk_c2,identity).
% 266353 [para:266286.1.1,262850.1.1.1] equal(multiply(sk_c9,sk_c5),identity) | equal(sk_c2,identity).
% 266355 [para:266286.2.1,262878.1.1.1,demod:262849] equal(inverse(sk_c5),sk_c9) | equal(sk_c9,sk_c8).
% 266425 [para:266355.1.1,262850.1.1.1] equal(multiply(sk_c9,sk_c5),identity) | equal(sk_c9,sk_c8).
% 266504 [para:266217.2.1,262890.1.1.1,demod:266161] equal(multiply(sk_c6,sk_c7),sk_c9) | equal(identity,sk_c9).
% 266512 [para:266217.1.1,263041.3.1,cut:262848,cut:265602,binarycut:266210] equal(inverse(sk_c1),sk_c10) | equal(sk_c1,sk_c3).
% 266521 [para:266512.1.1,262850.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(sk_c1,sk_c3).
% 267168 [para:266504.1.1,263038.3.1,cut:262848,cut:265602,binarycut:266235] equal(inverse(sk_c2),sk_c9) | equal(identity,sk_c9).
% 267174 [para:266504.1.1,263045.3.1,cut:262848,cut:265602,binarycut:266235] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(identity,sk_c9).
% 267197 [para:267168.2.2,262925.1.1.1,demod:262849] equal(inverse(sk_c2),sk_c9) | equal(sk_c5,identity).
% 267249 [para:267197.1.1,262850.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(sk_c5,identity).
% 267250 [para:262871.2.1,267197.2.1.1] equal(inverse(identity),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 267386 [para:266521.1.1,263226.1.2.2,demod:266136] equal(sk_c1,sk_c3).
% 267833 [para:267386.1.1,267174.1.1.1,demod:266161] equal(identity,sk_c9).
% 267857 [para:267833.1.2,266353.1.1.1,demod:262849] equal(sk_c5,identity) | equal(sk_c2,identity).
% 267860 [para:267833.1.2,266425.1.1.1,demod:262849] equal(sk_c5,identity) | equal(sk_c9,sk_c8).
% 267923 [para:267857.1.1,266286.1.1.1] equal(inverse(identity),sk_c9) | equal(sk_c2,identity).
% 267929 [para:262851.1.1,262895.2.1,cut:265602] -equal(multiply(X,multiply(Y,sk_c8)),sk_c9) | -equal(multiply(Z,multiply(X,Y)),sk_c9) | -equal(inverse(Z),multiply(X,Y)).
% 268092 [para:267250.2.1,267923.2.1.1] equal(inverse(identity),sk_c9).
% 268094 [para:268092.1.1,263226.1.2.1,demod:262849] equal(X,multiply(sk_c9,X)).
% 268150 [para:262965.2.1,267249.2.1.1,demod:268094,262849] equal(sk_c8,sk_c9) | equal(sk_c2,identity).
% 268169 [para:268150.1.1,267929.1.1.2.2,factor:cut:262848] -equal(inverse(sk_c9),sk_c9) | equal(sk_c2,identity).
% 268204 [para:267833.1.2,268169.1.1.1,demod:268092,cut:262848] equal(sk_c2,identity).
% 268205 [para:268204.1.1,262877.1.1.1,demod:262849] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(sk_c9,sk_c8).
% 268435 [para:267860.1.1,268205.1.1.1,demod:262849] equal(sk_c8,sk_c9) | equal(sk_c9,sk_c8).
% 268458 [para:268435.1.1,267929.1.1.2.2,factor:cut:262848] -equal(inverse(sk_c9),sk_c9) | equal(sk_c9,sk_c8).
% 268468 [para:267833.1.2,268458.1.1.1,demod:268092,cut:262848] equal(sk_c9,sk_c8).
% 268487 [para:268468.1.2,267929.1.1.2.2,factor:cut:262848] -equal(inverse(sk_c9),sk_c9).
% 268490 [para:267833.1.2,268487.1.1.1,demod:268092,cut:262848] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 25
% clause depth limited to 3
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 3994
% derived clauses: 518783
% kept clauses: 15093
% kept size sum: 277329
% kept mid-nuclei: 248606
% kept new demods: 206
% forw unit-subs: 66982
% forw double-subs: 38263
% forw overdouble-subs: 110927
% backward subs: 1046
% fast unit cutoff: 1666
% full unit cutoff: 0
% dbl unit cutoff: 345
% real runtime : 28.26
% process. runtime: 28.22
% specific non-discr-tree subsumption statistics:
% tried: 273005
% length fails: 15009
% strength fails: 53920
% predlist fails: 2037
% aux str. fails: 32716
% by-lit fails: 10629
% full subs tried: 149320
% full subs fail: 39787
%
% ; 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/GRP245-1+eq_r.in")
%
%------------------------------------------------------------------------------