TSTP Solution File: GRP246-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP246-1 : 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 : art09.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/GRP246-1+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 29)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 29)
% (binary-posweight-lex-big-order 30 #f 3 29)
% (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_c11),sk_c10) | -equal(inverse(X),sk_c11) | -equal(multiply(Y,sk_c10),sk_c9) | -equal(inverse(Y),sk_c10) | -equal(inverse(Z),sk_c11) | -equal(multiply(Z,sk_c9),sk_c11) | -equal(multiply(U,sk_c11),sk_c10) | -equal(inverse(U),sk_c11) | -equal(multiply(V,sk_c10),sk_c9) | -equal(inverse(V),sk_c10) | -equal(inverse(W),sk_c11) | -equal(multiply(W,sk_c10),sk_c11) | -equal(multiply(X1,X2),sk_c10) | -equal(inverse(X1),X2) | -equal(multiply(X2,sk_c9),sk_c10).
% was split for some strategies as:
% -equal(multiply(X1,X2),sk_c10) | -equal(inverse(X1),X2) | -equal(multiply(X2,sk_c9),sk_c10).
% -equal(inverse(W),sk_c11) | -equal(multiply(W,sk_c10),sk_c11).
% -equal(multiply(V,sk_c10),sk_c9) | -equal(inverse(V),sk_c10).
% -equal(multiply(U,sk_c11),sk_c10) | -equal(inverse(U),sk_c11).
% -equal(inverse(Z),sk_c11) | -equal(multiply(Z,sk_c9),sk_c11).
% -equal(multiply(Y,sk_c10),sk_c9) | -equal(inverse(Y),sk_c10).
% -equal(multiply(X,sk_c11),sk_c10) | -equal(inverse(X),sk_c11).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(59,40,0,126,0,0,140866,5,1501,140867,1,1501,140867,50,1501,140867,40,1501,140934,0,1501,154238,3,1802,154844,4,1952,155389,1,2102,155389,50,2102,155389,40,2102,155456,0,2102,155762,3,2414,155772,4,2557,155789,5,2703,155789,1,2703,155789,50,2703,155789,40,2703,155856,0,2703)
%
%
% START OF PROOF
% 155587 [?] ?
% 155790 [] equal(X,X).
% 155791 [] equal(multiply(identity,X),X).
% 155792 [] equal(multiply(inverse(X),X),identity).
% 155793 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 155796 [] equal(multiply(sk_c3,sk_c9),sk_c11) | equal(inverse(sk_c7),sk_c8).
% 155797 [] equal(multiply(sk_c3,sk_c9),sk_c11) | equal(multiply(sk_c7,sk_c8),sk_c10).
% 155798 [] equal(multiply(sk_c3,sk_c9),sk_c11) | equal(multiply(sk_c6,sk_c10),sk_c11).
% 155799 [] equal(multiply(sk_c3,sk_c9),sk_c11) | equal(inverse(sk_c6),sk_c11).
% 155800 [] equal(multiply(sk_c3,sk_c9),sk_c11) | equal(inverse(sk_c5),sk_c10).
% 155801 [] equal(multiply(sk_c3,sk_c9),sk_c11) | equal(multiply(sk_c5,sk_c10),sk_c9).
% 155802 [] equal(multiply(sk_c3,sk_c9),sk_c11) | equal(inverse(sk_c4),sk_c11).
% 155805 [] equal(inverse(sk_c3),sk_c11) | equal(inverse(sk_c7),sk_c8).
% 155806 [] equal(multiply(sk_c7,sk_c8),sk_c10) | equal(inverse(sk_c3),sk_c11).
% 155807 [] equal(multiply(sk_c6,sk_c10),sk_c11) | equal(inverse(sk_c3),sk_c11).
% 155808 [] equal(inverse(sk_c3),sk_c11) | equal(inverse(sk_c6),sk_c11).
% 155809 [] equal(inverse(sk_c3),sk_c11) | equal(inverse(sk_c5),sk_c10).
% 155810 [] equal(multiply(sk_c5,sk_c10),sk_c9) | equal(inverse(sk_c3),sk_c11).
% 155811 [] equal(inverse(sk_c3),sk_c11) | equal(inverse(sk_c4),sk_c11).
% 155816 [] equal(multiply(sk_c6,sk_c10),sk_c11) | equal(inverse(sk_c2),sk_c10).
% 155817 [] equal(inverse(sk_c2),sk_c10) | equal(inverse(sk_c6),sk_c11).
% 155818 [] equal(inverse(sk_c2),sk_c10) | equal(inverse(sk_c5),sk_c10).
% 155819 [] equal(multiply(sk_c5,sk_c10),sk_c9) | equal(inverse(sk_c2),sk_c10).
% 155825 [] equal(multiply(sk_c2,sk_c10),sk_c9) | equal(multiply(sk_c6,sk_c10),sk_c11).
% 155826 [] equal(multiply(sk_c2,sk_c10),sk_c9) | equal(inverse(sk_c6),sk_c11).
% 155827 [] equal(multiply(sk_c2,sk_c10),sk_c9) | equal(inverse(sk_c5),sk_c10).
% 155828 [] equal(multiply(sk_c2,sk_c10),sk_c9) | equal(multiply(sk_c5,sk_c10),sk_c9).
% 155834 [] equal(multiply(sk_c6,sk_c10),sk_c11) | equal(inverse(sk_c1),sk_c11).
% 155835 [] equal(inverse(sk_c1),sk_c11) | equal(inverse(sk_c6),sk_c11).
% 155836 [] equal(inverse(sk_c1),sk_c11) | equal(inverse(sk_c5),sk_c10).
% 155837 [] equal(multiply(sk_c5,sk_c10),sk_c9) | equal(inverse(sk_c1),sk_c11).
% 155838 [] equal(inverse(sk_c1),sk_c11) | equal(inverse(sk_c4),sk_c11).
% 155839 [] equal(multiply(sk_c4,sk_c11),sk_c10) | equal(inverse(sk_c1),sk_c11).
% 155843 [] equal(multiply(sk_c1,sk_c11),sk_c10) | equal(multiply(sk_c6,sk_c10),sk_c11).
% 155844 [] equal(multiply(sk_c1,sk_c11),sk_c10) | equal(inverse(sk_c6),sk_c11).
% 155845 [] equal(multiply(sk_c1,sk_c11),sk_c10) | equal(inverse(sk_c5),sk_c10).
% 155846 [] equal(multiply(sk_c1,sk_c11),sk_c10) | equal(multiply(sk_c5,sk_c10),sk_c9).
% 155847 [] equal(multiply(sk_c1,sk_c11),sk_c10) | equal(inverse(sk_c4),sk_c11).
% 155848 [] equal(multiply(sk_c1,sk_c11),sk_c10) | equal(multiply(sk_c4,sk_c11),sk_c10).
% 155849 [] $spltprd0($spltcnst22) | -equal(multiply(X,sk_c9),sk_c10) | -equal(multiply(Y,X),sk_c10) | -equal(inverse(Y),X).
% 155850 [] $spltprd0($spltcnst23) | -equal(multiply(X,sk_c10),sk_c11) | -equal(inverse(X),sk_c11).
% 155851 [] $spltprd0($spltcnst24) | -equal(multiply(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10).
% 155852 [] $spltprd0($spltcnst25) | -equal(multiply(X,sk_c11),sk_c10) | -equal(inverse(X),sk_c11).
% 155853 [] $spltprd0($spltcnst26) | -equal(multiply(X,sk_c9),sk_c11) | -equal(inverse(X),sk_c11).
% 155854 [] $spltprd0($spltcnst27) | -equal(multiply(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10).
% 155855 [] $spltprd0($spltcnst28) | -equal(multiply(X,sk_c11),sk_c10) | -equal(inverse(X),sk_c11).
% 155856 [] -$spltprd0($spltcnst23) | -$spltprd0($spltcnst22) | -$spltprd0($spltcnst25) | -$spltprd0($spltcnst24) | -$spltprd0($spltcnst27) | -$spltprd0($spltcnst26) | -$spltprd0($spltcnst28).
% 155870 [para:155809.2.1,155792.1.1.1] equal(multiply(sk_c10,sk_c5),identity) | equal(inverse(sk_c3),sk_c11).
% 155881 [para:155818.1.1,155792.1.1.1] equal(multiply(sk_c10,sk_c2),identity) | equal(inverse(sk_c5),sk_c10).
% 155882 [para:155818.2.1,155792.1.1.1] equal(multiply(sk_c10,sk_c5),identity) | equal(inverse(sk_c2),sk_c10).
% 155896 [para:155836.1.1,155792.1.1.1] equal(multiply(sk_c11,sk_c1),identity) | equal(inverse(sk_c5),sk_c10).
% 155899 [para:155838.1.1,155792.1.1.1] equal(multiply(sk_c11,sk_c1),identity) | equal(inverse(sk_c4),sk_c11).
% 155936 [para:155819.2.1,155792.1.1.1] equal(multiply(sk_c10,sk_c2),identity) | equal(multiply(sk_c5,sk_c10),sk_c9).
% 155961 [para:155837.2.1,155792.1.1.1] equal(multiply(sk_c11,sk_c1),identity) | equal(multiply(sk_c5,sk_c10),sk_c9).
% 155963 [para:155839.2.1,155792.1.1.1] equal(multiply(sk_c11,sk_c1),identity) | equal(multiply(sk_c4,sk_c11),sk_c10).
% 155972 [para:155847.2.1,155792.1.1.1] equal(multiply(sk_c11,sk_c4),identity) | equal(multiply(sk_c1,sk_c11),sk_c10).
% 156012 [para:155899.2.1,155792.1.1.1] equal(multiply(sk_c11,sk_c4),identity) | equal(multiply(sk_c11,sk_c1),identity).
% 156055 [para:155807.1.1,155850.2.1,cut:155790] -equal(inverse(sk_c6),sk_c11) | equal(inverse(sk_c3),sk_c11) | $spltprd0($spltcnst23).
% 156057 [para:155798.2.1,155850.2.1,cut:155790] equal(multiply(sk_c3,sk_c9),sk_c11) | -equal(inverse(sk_c6),sk_c11) | $spltprd0($spltcnst23).
% 156058 [para:155816.1.1,155850.2.1,cut:155790] -equal(inverse(sk_c6),sk_c11) | equal(inverse(sk_c2),sk_c10) | $spltprd0($spltcnst23).
% 156066 [para:155834.1.1,155850.2.1,cut:155790] -equal(inverse(sk_c6),sk_c11) | equal(inverse(sk_c1),sk_c11) | $spltprd0($spltcnst23).
% 156070 [para:155825.2.1,155850.2.1,cut:155790] equal(multiply(sk_c2,sk_c10),sk_c9) | -equal(inverse(sk_c6),sk_c11) | $spltprd0($spltcnst23).
% 156074 [para:155843.2.1,155850.2.1,cut:155790] equal(multiply(sk_c1,sk_c11),sk_c10) | -equal(inverse(sk_c6),sk_c11) | $spltprd0($spltcnst23).
% 156079 [para:155808.2.1,156055.1.1,cut:155790] equal(inverse(sk_c3),sk_c11) | $spltprd0($spltcnst23).
% 156081 [para:156079.1.1,155792.1.1.1] equal(multiply(sk_c11,sk_c3),identity) | $spltprd0($spltcnst23).
% 156097 [para:155827.1.1,155851.2.1,cut:155790,binarycut:155818] equal(inverse(sk_c5),sk_c10) | $spltprd0($spltcnst24).
% 156109 [para:155828.2.1,155851.2.1,cut:155790,binarycut:156097] equal(multiply(sk_c2,sk_c10),sk_c9) | $spltprd0($spltcnst24).
% 156138 [para:155847.1.1,155852.2.1,cut:155790,binarycut:155838] equal(inverse(sk_c4),sk_c11) | $spltprd0($spltcnst25).
% 156147 [para:155848.2.1,155852.2.1,cut:155790,binarycut:156138] equal(multiply(sk_c1,sk_c11),sk_c10) | $spltprd0($spltcnst25).
% 156158 [para:156109.1.1,155851.2.1,cut:155790] -equal(inverse(sk_c2),sk_c10) | $spltprd0($spltcnst24).
% 156165 [para:155796.1.1,155853.2.1,cut:155790,binarycut:155805] equal(inverse(sk_c7),sk_c8) | $spltprd0($spltcnst26).
% 156167 [para:155799.1.1,155853.2.1,cut:155790,binarycut:155808] equal(inverse(sk_c6),sk_c11) | $spltprd0($spltcnst26).
% 156169 [para:155800.1.1,155853.2.1,cut:155790,binarycut:155809] equal(inverse(sk_c5),sk_c10) | $spltprd0($spltcnst26).
% 156171 [para:155802.1.1,155853.2.1,cut:155790,binarycut:155811] equal(inverse(sk_c4),sk_c11) | $spltprd0($spltcnst26).
% 156173 [para:155797.1.1,155853.2.1,cut:155790] equal(multiply(sk_c7,sk_c8),sk_c10) | -equal(inverse(sk_c3),sk_c11) | $spltprd0($spltcnst26).
% 156176 [para:155801.1.1,155853.2.1,cut:155790] equal(multiply(sk_c5,sk_c10),sk_c9) | -equal(inverse(sk_c3),sk_c11) | $spltprd0($spltcnst26).
% 156190 [para:155819.2.1,156158.1.1,cut:155790] equal(multiply(sk_c5,sk_c10),sk_c9) | $spltprd0($spltcnst24).
% 156193 [para:156165.1.1,155792.1.1.1] equal(multiply(sk_c8,sk_c7),identity) | $spltprd0($spltcnst26).
% 156195 [para:156167.1.1,155792.1.1.1] equal(multiply(sk_c11,sk_c6),identity) | $spltprd0($spltcnst26).
% 156197 [para:156169.1.1,155792.1.1.1] equal(multiply(sk_c10,sk_c5),identity) | $spltprd0($spltcnst26).
% 156199 [para:156171.1.1,155792.1.1.1] equal(multiply(sk_c11,sk_c4),identity) | $spltprd0($spltcnst26).
% 156214 [para:155827.1.1,155854.2.1,cut:155790,binarycut:155818] equal(inverse(sk_c5),sk_c10) | $spltprd0($spltcnst27).
% 156226 [para:155828.2.1,155854.2.1,cut:155790,binarycut:156214] equal(multiply(sk_c2,sk_c10),sk_c9) | $spltprd0($spltcnst27).
% 156256 [para:155847.1.1,155855.2.1,cut:155790,binarycut:155838] equal(inverse(sk_c4),sk_c11) | $spltprd0($spltcnst28).
% 156265 [para:155848.2.1,155855.2.1,cut:155790,binarycut:156256] equal(multiply(sk_c1,sk_c11),sk_c10) | $spltprd0($spltcnst28).
% 156276 [para:155792.1.1,155793.1.1.1,demod:155791] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 156406 [para:156147.1.1,155852.2.1,cut:155790] -equal(inverse(sk_c1),sk_c11) | $spltprd0($spltcnst25).
% 156414 [para:155839.2.1,156406.1.1,cut:155790] equal(multiply(sk_c4,sk_c11),sk_c10) | $spltprd0($spltcnst25).
% 156441 [para:156190.1.1,155851.2.1,cut:155790,binarycut:156097] $spltprd0($spltcnst24).
% 156459 [para:156226.1.1,155854.2.1,cut:155790] -equal(inverse(sk_c2),sk_c10) | $spltprd0($spltcnst27).
% 156465 [para:155819.2.1,156459.1.1,cut:155790] equal(multiply(sk_c5,sk_c10),sk_c9) | $spltprd0($spltcnst27).
% 156486 [para:156265.1.1,155855.2.1,cut:155790] -equal(inverse(sk_c1),sk_c11) | $spltprd0($spltcnst28).
% 156493 [para:155839.2.1,156486.1.1,cut:155790] equal(multiply(sk_c4,sk_c11),sk_c10) | $spltprd0($spltcnst28).
% 156521 [para:156414.1.1,155852.2.1,cut:155790,binarycut:156138] $spltprd0($spltcnst25).
% 156542 [para:156465.1.1,155854.2.1,cut:155790,binarycut:156214] $spltprd0($spltcnst27).
% 156564 [para:156493.1.1,155855.2.1,cut:155790,binarycut:156256] $spltprd0($spltcnst28).
% 156576 [para:155806.1.1,156276.1.2.2] equal(sk_c8,multiply(inverse(sk_c7),sk_c10)) | equal(inverse(sk_c3),sk_c11).
% 156704 [para:156081.1.1,156276.1.2.2] equal(sk_c3,multiply(inverse(sk_c11),identity)) | $spltprd0($spltcnst23).
% 156705 [para:156193.1.1,156276.1.2.2] equal(sk_c7,multiply(inverse(sk_c8),identity)) | $spltprd0($spltcnst26).
% 156706 [para:156195.1.1,156276.1.2.2] equal(sk_c6,multiply(inverse(sk_c11),identity)) | $spltprd0($spltcnst26).
% 156708 [para:156199.1.1,156276.1.2.2] equal(sk_c4,multiply(inverse(sk_c11),identity)) | $spltprd0($spltcnst26).
% 156723 [para:156704.1.2,155793.1.1.1,demod:155791] $spltprd0($spltcnst23) | equal(multiply(sk_c3,X),multiply(inverse(sk_c11),X)).
% 156732 [para:156705.1.2,155793.1.1.1,demod:155791] $spltprd0($spltcnst26) | equal(multiply(sk_c7,X),multiply(inverse(sk_c8),X)).
% 156734 [para:156706.1.2,155793.1.1.1,demod:155791] $spltprd0($spltcnst26) | equal(multiply(sk_c6,X),multiply(inverse(sk_c11),X)).
% 156862 [para:156723.2.2,156276.1.2] $spltprd0($spltcnst23) | equal(X,multiply(sk_c3,multiply(sk_c11,X))).
% 157034 [para:156732.2.2,155792.1.1] equal(multiply(sk_c7,sk_c8),identity) | $spltprd0($spltcnst26).
% 157228 [para:156734.2.2,156708.1.2] equal(sk_c4,multiply(sk_c6,identity)) | $spltprd0($spltcnst26).
% 157246 [para:157228.1.2,155793.1.1.1,demod:155791] $spltprd0($spltcnst26) | equal(multiply(sk_c4,X),multiply(sk_c6,X)).
% 157313 [para:157246.2.2,155853.2.1,binarycut:156167] -equal(multiply(sk_c4,sk_c9),sk_c11) | $spltprd0($spltcnst26).
% 157624 [para:155817.2.1,156058.1.1,cut:155790] equal(inverse(sk_c2),sk_c10) | $spltprd0($spltcnst23).
% 157626 [para:157624.1.1,155792.1.1.1] equal(multiply(sk_c10,sk_c2),identity) | $spltprd0($spltcnst23).
% 157632 [para:157626.1.1,156276.1.2.2] equal(sk_c2,multiply(inverse(sk_c10),identity)) | $spltprd0($spltcnst23).
% 157639 [para:157632.1.2,155793.1.1.1,demod:155791] $spltprd0($spltcnst23) | equal(multiply(sk_c2,X),multiply(inverse(sk_c10),X)).
% 157750 [para:157639.2.2,155792.1.1] equal(multiply(sk_c2,sk_c10),identity) | $spltprd0($spltcnst23).
% 157977 [para:155835.2.1,156066.1.1,cut:155790] equal(inverse(sk_c1),sk_c11) | $spltprd0($spltcnst23).
% 157979 [para:157977.1.1,155792.1.1.1] equal(multiply(sk_c11,sk_c1),identity) | $spltprd0($spltcnst23).
% 157985 [para:157979.1.1,156276.1.2.2] equal(sk_c1,multiply(inverse(sk_c11),identity)) | $spltprd0($spltcnst23).
% 157986 [para:157979.1.1,156862.2.2.2] equal(sk_c1,multiply(sk_c3,identity)) | $spltprd0($spltcnst23).
% 157994 [para:157986.1.2,155793.1.1.1,demod:155791] $spltprd0($spltcnst23) | equal(multiply(sk_c1,X),multiply(sk_c3,X)).
% 158059 [para:157985.1.2,155793.1.1.1,demod:155791] $spltprd0($spltcnst23) | equal(multiply(sk_c1,X),multiply(inverse(sk_c11),X)).
% 158116 [para:157994.2.1,155850.2.1,binarycut:157977] -equal(multiply(sk_c3,sk_c10),sk_c11) | $spltprd0($spltcnst23).
% 158349 [para:155799.2.1,156057.2.1,cut:155790] equal(multiply(sk_c3,sk_c9),sk_c11) | $spltprd0($spltcnst23).
% 158403 [para:158059.2.2,155792.1.1] equal(multiply(sk_c1,sk_c11),identity) | $spltprd0($spltcnst23).
% 158450 [para:155826.2.1,156070.2.1,cut:155790] equal(multiply(sk_c2,sk_c10),sk_c9) | $spltprd0($spltcnst23).
% 158480 [para:158450.1.1,157750.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst23).
% 158499 [para:158480.1.1,158349.1.1.2] equal(multiply(sk_c3,identity),sk_c11) | $spltprd0($spltcnst23).
% 158599 [para:155844.2.1,156074.2.1,cut:155790] equal(multiply(sk_c1,sk_c11),sk_c10) | $spltprd0($spltcnst23).
% 158695 [para:158599.1.1,158403.1.1] equal(sk_c10,identity) | $spltprd0($spltcnst23).
% 158748 [para:158695.1.1,158116.1.1.2,binarycut:158499] $spltprd0($spltcnst23).
% 158749 [binary:155856,158748,cut:156521,cut:156441,cut:156542,cut:156564] -$spltprd0($spltcnst22) | -$spltprd0($spltcnst26).
% 158811 [para:155806.2.1,156173.2.1,cut:155790] equal(multiply(sk_c7,sk_c8),sk_c10) | $spltprd0($spltcnst26).
% 158816 [para:158811.1.1,157034.1.1] equal(sk_c10,identity) | $spltprd0($spltcnst26).
% 158832 [para:158816.1.1,156197.1.1.1,demod:155791] equal(sk_c5,identity) | $spltprd0($spltcnst26).
% 158963 [para:155810.2.1,156176.2.1,cut:155790] equal(multiply(sk_c5,sk_c10),sk_c9) | $spltprd0($spltcnst26).
% 158978 [?] ?
% 159076 [para:158832.1.1,158963.1.1.1,demod:155791] equal(sk_c10,sk_c9) | $spltprd0($spltcnst26).
% 159114 [para:159076.1.2,157313.1.1.2,binarycut:158978] $spltprd0($spltcnst26).
% 159146 [para:155805.2.1,156576.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c10)) | equal(inverse(sk_c3),sk_c11).
% 159152 [para:159146.1.2,156276.1.2.2,demod:155792] equal(inverse(sk_c3),sk_c11) | equal(sk_c10,identity).
% 159158 [para:159152.2.1,155810.1.1.2] equal(multiply(sk_c5,identity),sk_c9) | equal(inverse(sk_c3),sk_c11).
% 159159 [para:159152.2.1,155870.1.1.1,demod:155791] equal(inverse(sk_c3),sk_c11) | equal(sk_c5,identity).
% 159278 [para:159159.2.1,159158.1.1.1,demod:155791] equal(inverse(sk_c3),sk_c11) | equal(identity,sk_c9).
% 159286 [para:159278.2.2,155849.2.1.2,factor:cut:155587] equal(inverse(sk_c3),sk_c11) | -equal(identity,sk_c10) | $spltprd0($spltcnst22).
% 159498 [para:159152.2.1,159286.2.2,cut:155790] equal(inverse(sk_c3),sk_c11) | $spltprd0($spltcnst22).
% 159502 [binary:158749,159498.2,cut:159114] equal(inverse(sk_c3),sk_c11).
% 159503 [para:159502.1.1,155792.1.1.1] equal(multiply(sk_c11,sk_c3),identity).
% 159505 [para:159503.1.1,156276.1.2.2] equal(sk_c3,multiply(inverse(sk_c11),identity)).
% 159506 [para:159505.1.2,155793.1.1.1,demod:155791] equal(multiply(sk_c3,X),multiply(inverse(sk_c11),X)).
% 159513 [para:159506.1.2,155792.1.1] equal(multiply(sk_c3,sk_c11),identity).
% 159517 [para:159506.1.2,156276.1.2] equal(X,multiply(sk_c3,multiply(sk_c11,X))).
% 159533 [para:159506.1.2,159505.1.2] equal(sk_c3,multiply(sk_c3,identity)).
% 159548 [para:155896.1.1,159517.1.2.2,demod:159533] equal(inverse(sk_c5),sk_c10) | equal(sk_c1,sk_c3).
% 159558 [para:155961.1.1,159517.1.2.2,demod:159533] equal(multiply(sk_c5,sk_c10),sk_c9) | equal(sk_c1,sk_c3).
% 159559 [para:155963.1.1,159517.1.2.2,demod:159533] equal(multiply(sk_c4,sk_c11),sk_c10) | equal(sk_c1,sk_c3).
% 159561 [para:155972.1.1,159517.1.2.2,demod:159533] equal(multiply(sk_c1,sk_c11),sk_c10) | equal(sk_c4,sk_c3).
% 159568 [para:156012.1.1,159517.1.2.2,demod:159533] equal(multiply(sk_c11,sk_c1),identity) | equal(sk_c4,sk_c3).
% 159606 [para:159548.2.1,155845.1.1.1,demod:159513] equal(inverse(sk_c5),sk_c10) | equal(identity,sk_c10).
% 159677 [para:159606.2.2,155881.1.1.1,demod:155791] equal(inverse(sk_c5),sk_c10) | equal(sk_c2,identity).
% 159735 [para:159677.1.1,155792.1.1.1] equal(multiply(sk_c10,sk_c5),identity) | equal(sk_c2,identity).
% 159736 [para:159677.2.1,155818.1.1.1] equal(inverse(identity),sk_c10) | equal(inverse(sk_c5),sk_c10).
% 159737 [para:159677.2.1,155827.1.1.1,demod:155791] equal(inverse(sk_c5),sk_c10) | equal(sk_c10,sk_c9).
% 159791 [para:159737.1.1,155792.1.1.1] equal(multiply(sk_c10,sk_c5),identity) | equal(sk_c10,sk_c9).
% 159947 [para:159558.2.1,155846.1.1.1,demod:159513] equal(multiply(sk_c5,sk_c10),sk_c9) | equal(identity,sk_c10).
% 159951 [para:159559.2.1,155848.1.1.1,demod:159513] equal(multiply(sk_c4,sk_c11),sk_c10) | equal(identity,sk_c10).
% 160204 [para:159568.1.1,156276.1.2.2,demod:159505] equal(sk_c1,sk_c3) | equal(sk_c4,sk_c3).
% 160218 [para:160204.1.1,159561.1.1.1,demod:159513] equal(identity,sk_c10) | equal(sk_c4,sk_c3).
% 160264 [para:160218.2.2,159513.1.1.1] equal(multiply(sk_c4,sk_c11),identity) | equal(identity,sk_c10).
% 161152 [para:159947.2.2,155936.1.1.1,demod:155791] equal(multiply(sk_c5,sk_c10),sk_c9) | equal(sk_c2,identity).
% 161947 [para:160264.1.1,159951.1.1] equal(identity,sk_c10).
% 161974 [para:161947.1.2,155882.1.1.1,demod:155791] equal(inverse(sk_c2),sk_c10) | equal(sk_c5,identity).
% 162010 [para:161947.1.2,159735.1.1.1,demod:155791] equal(sk_c5,identity) | equal(sk_c2,identity).
% 162011 [para:161947.1.2,159791.1.1.1,demod:155791] equal(sk_c5,identity) | equal(sk_c10,sk_c9).
% 162080 [para:155828.1.1,162011.2.1.1,demod:155791] equal(multiply(sk_c2,sk_c10),sk_c9) | equal(sk_c10,sk_c9).
% 162153 [para:162010.2.1,161974.1.1.1] equal(inverse(identity),sk_c10) | equal(sk_c5,identity).
% 162290 [para:159736.2.1,162153.2.1.1] equal(inverse(identity),sk_c10).
% 162756 [para:162010.1.1,161152.1.1.1,demod:155791] equal(sk_c10,sk_c9) | equal(sk_c2,identity).
% 163225 [para:162756.2.1,162080.1.1.1,demod:155791] equal(sk_c10,sk_c9).
% 163235 [para:163225.1.2,155849.2.1.2,factor:cut:155790] -equal(inverse(sk_c10),sk_c10) | $spltprd0($spltcnst22).
% 163372 [para:161947.1.2,163235.1.1.1,demod:162290,cut:155790] $spltprd0($spltcnst22).
% 163373 [binary:158749,163372,cut:159114] 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 29
% clause depth limited to 3
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 4156
% derived clauses: 1654090
% kept clauses: 18185
% kept size sum: 306723
% kept mid-nuclei: 140347
% kept new demods: 214
% forw unit-subs: 74716
% forw double-subs: 329692
% forw overdouble-subs: 49247
% backward subs: 1185
% fast unit cutoff: 1038
% full unit cutoff: 0
% dbl unit cutoff: 352
% real runtime : 28.88
% process. runtime: 28.86
% specific non-discr-tree subsumption statistics:
% tried: 174467
% length fails: 8114
% strength fails: 31974
% predlist fails: 6400
% aux str. fails: 34114
% by-lit fails: 12095
% full subs tried: 71596
% full subs fail: 24908
%
% ; 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/GRP246-1+eq_r.in")
%
%------------------------------------------------------------------------------