TSTP Solution File: GRP211-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP211-1 : 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 : art02.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 30.0s
% Output : Assurance 30.0s
% 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/GRP211-1+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 19)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 19)
% (binary-posweight-lex-big-order 30 #f 3 19)
% (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,Y),sk_c8) | -equal(inverse(X),Y) | -equal(multiply(Y,sk_c7),sk_c8) | -equal(inverse(Z),sk_c8) | -equal(multiply(Z,sk_c7),sk_c8) | -equal(inverse(U),sk_c8) | -equal(multiply(U,sk_c7),sk_c8) | -equal(multiply(sk_c8,V),sk_c7) | -equal(multiply(W,sk_c8),V) | -equal(inverse(W),sk_c8).
% was split for some strategies as:
% -equal(multiply(sk_c8,V),sk_c7) | -equal(multiply(W,sk_c8),V) | -equal(inverse(W),sk_c8).
% -equal(inverse(U),sk_c8) | -equal(multiply(U,sk_c7),sk_c8).
% -equal(inverse(Z),sk_c8) | -equal(multiply(Z,sk_c7),sk_c8).
% -equal(multiply(X,Y),sk_c8) | -equal(inverse(X),Y) | -equal(multiply(Y,sk_c7),sk_c8).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(30,40,0,65,0,0,177615,4,1405,182812,5,1501,182812,1,1501,182812,50,1501,182812,40,1501,182847,0,1501,193954,3,1802,194663,4,1952,196574,1,2102,196574,50,2102,196574,40,2102,196609,0,2102,197361,3,2408,197374,4,2561,197420,5,2703,197420,1,2703,197420,50,2703,197420,40,2703,197455,0,2703)
%
%
% START OF PROOF
% 196715 [?] ?
% 197421 [] equal(X,X).
% 197422 [] equal(multiply(identity,X),X).
% 197423 [] equal(multiply(inverse(X),X),identity).
% 197424 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 197426 [] equal(multiply(sk_c3,sk_c7),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 197429 [] equal(multiply(sk_c3,sk_c7),sk_c8) | equal(multiply(sk_c4,sk_c7),sk_c8).
% 197430 [] equal(multiply(sk_c3,sk_c7),sk_c8) | equal(inverse(sk_c4),sk_c8).
% 197431 [] equal(inverse(sk_c3),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 197432 [] equal(multiply(sk_c5,sk_c8),sk_c6) | equal(inverse(sk_c3),sk_c8).
% 197433 [] equal(multiply(sk_c8,sk_c6),sk_c7) | equal(inverse(sk_c3),sk_c8).
% 197434 [] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(inverse(sk_c3),sk_c8).
% 197435 [] equal(inverse(sk_c3),sk_c8) | equal(inverse(sk_c4),sk_c8).
% 197437 [] equal(multiply(sk_c2,sk_c7),sk_c8) | equal(multiply(sk_c5,sk_c8),sk_c6).
% 197440 [] equal(multiply(sk_c2,sk_c7),sk_c8) | equal(inverse(sk_c4),sk_c8).
% 197441 [] equal(inverse(sk_c1),sk_c2) | equal(inverse(sk_c5),sk_c8).
% 197442 [] equal(multiply(sk_c5,sk_c8),sk_c6) | equal(inverse(sk_c1),sk_c2).
% 197443 [] equal(multiply(sk_c8,sk_c6),sk_c7) | equal(inverse(sk_c1),sk_c2).
% 197444 [] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(inverse(sk_c1),sk_c2).
% 197445 [] equal(inverse(sk_c1),sk_c2) | equal(inverse(sk_c4),sk_c8).
% 197446 [] equal(multiply(sk_c1,sk_c2),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 197447 [] equal(multiply(sk_c1,sk_c2),sk_c8) | equal(multiply(sk_c5,sk_c8),sk_c6).
% 197448 [] equal(multiply(sk_c1,sk_c2),sk_c8) | equal(multiply(sk_c8,sk_c6),sk_c7).
% 197450 [] equal(multiply(sk_c1,sk_c2),sk_c8) | equal(inverse(sk_c4),sk_c8).
% 197451 [] $spltprd0($spltcnst13) | -equal(multiply(sk_c8,X),sk_c7) | -equal(multiply(Y,sk_c8),X) | -equal(inverse(Y),sk_c8).
% 197452 [] $spltprd0($spltcnst14) | -equal(multiply(X,sk_c7),sk_c8) | -equal(inverse(X),sk_c8).
% 197453 [] $spltprd0($spltcnst15) | -equal(multiply(X,sk_c7),sk_c8) | -equal(inverse(X),sk_c8).
% 197454 [] $spltprd0($spltcnst16) | -equal(multiply(X,sk_c7),sk_c8) | -equal(multiply(Y,X),sk_c8) | -equal(inverse(Y),X).
% 197455 [] -$spltprd0($spltcnst14) | -$spltprd0($spltcnst13) | -$spltprd0($spltcnst16) | -$spltprd0($spltcnst15).
% 197458 [para:197431.1.1,197423.1.1.1] equal(multiply(sk_c8,sk_c3),identity) | equal(inverse(sk_c5),sk_c8).
% 197459 [para:197431.2.1,197423.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | equal(inverse(sk_c3),sk_c8).
% 197461 [para:197435.1.1,197423.1.1.1] equal(multiply(sk_c8,sk_c3),identity) | equal(inverse(sk_c4),sk_c8).
% 197462 [para:197435.2.1,197423.1.1.1] equal(multiply(sk_c8,sk_c4),identity) | equal(inverse(sk_c3),sk_c8).
% 197466 [para:197441.2.1,197423.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | equal(inverse(sk_c1),sk_c2).
% 197468 [para:197445.1.1,197423.1.1.1] equal(multiply(sk_c2,sk_c1),identity) | equal(inverse(sk_c4),sk_c8).
% 197469 [para:197445.2.1,197423.1.1.1] equal(multiply(sk_c8,sk_c4),identity) | equal(inverse(sk_c1),sk_c2).
% 197482 [para:197434.2.1,197423.1.1.1] equal(multiply(sk_c8,sk_c3),identity) | equal(multiply(sk_c4,sk_c7),sk_c8).
% 197530 [para:197433.1.1,197451.2.1,cut:197421] equal(inverse(sk_c3),sk_c8) | $spltprd0($spltcnst13) | -equal(multiply(X,sk_c8),sk_c6) | -equal(inverse(X),sk_c8).
% 197532 [para:197443.1.1,197451.2.1,cut:197421] equal(inverse(sk_c1),sk_c2) | $spltprd0($spltcnst13) | -equal(multiply(X,sk_c8),sk_c6) | -equal(inverse(X),sk_c8).
% 197540 [para:197448.2.1,197451.2.1,cut:197421] equal(multiply(sk_c1,sk_c2),sk_c8) | $spltprd0($spltcnst13) | -equal(multiply(X,sk_c8),sk_c6) | -equal(inverse(X),sk_c8).
% 197551 [para:197430.1.1,197452.2.1,cut:197421,binarycut:197435] equal(inverse(sk_c4),sk_c8) | $spltprd0($spltcnst14).
% 197554 [para:197434.1.1,197452.2.1,cut:197421,binarycut:197551] equal(inverse(sk_c3),sk_c8) | $spltprd0($spltcnst14).
% 197560 [para:197429.1.1,197452.2.1,cut:197421,binarycut:197554] equal(multiply(sk_c4,sk_c7),sk_c8) | $spltprd0($spltcnst14).
% 197591 [para:197430.1.1,197453.2.1,cut:197421,binarycut:197435] equal(inverse(sk_c4),sk_c8) | $spltprd0($spltcnst15).
% 197594 [para:197434.1.1,197453.2.1,cut:197421,binarycut:197591] equal(inverse(sk_c3),sk_c8) | $spltprd0($spltcnst15).
% 197600 [para:197429.1.1,197453.2.1,cut:197421,binarycut:197594] equal(multiply(sk_c4,sk_c7),sk_c8) | $spltprd0($spltcnst15).
% 197621 [para:197560.1.1,197452.2.1,cut:197421,binarycut:197551] $spltprd0($spltcnst14).
% 197630 [para:197440.1.1,197454.2.1,cut:197421] equal(inverse(sk_c4),sk_c8) | $spltprd0($spltcnst16) | -equal(multiply(X,sk_c2),sk_c8) | -equal(inverse(X),sk_c2).
% 197635 [para:197437.1.1,197454.2.1,cut:197421] equal(multiply(sk_c5,sk_c8),sk_c6) | $spltprd0($spltcnst16) | -equal(multiply(X,sk_c2),sk_c8) | -equal(inverse(X),sk_c2).
% 197642 [binary:197455,197621] -$spltprd0($spltcnst16) | -$spltprd0($spltcnst15) | -$spltprd0($spltcnst13).
% 197644 [para:197423.1.1,197424.1.1.1,demod:197422] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 197666 [para:197462.1.1,197424.1.1.1,demod:197422] equal(inverse(sk_c3),sk_c8) | equal(X,multiply(sk_c8,multiply(sk_c4,X))).
% 197671 [para:197468.1.1,197424.1.1.1,demod:197422] equal(inverse(sk_c4),sk_c8) | equal(X,multiply(sk_c2,multiply(sk_c1,X))).
% 197696 [para:197600.1.1,197453.2.1,cut:197421,binarycut:197591] $spltprd0($spltcnst15).
% 197703 [para:197426.1.1,197644.1.2.2] equal(sk_c7,multiply(inverse(sk_c3),sk_c8)) | equal(inverse(sk_c5),sk_c8).
% 197704 [para:197430.1.1,197644.1.2.2] equal(sk_c7,multiply(inverse(sk_c3),sk_c8)) | equal(inverse(sk_c4),sk_c8).
% 197707 [para:197432.1.1,197644.1.2.2] equal(sk_c8,multiply(inverse(sk_c5),sk_c6)) | equal(inverse(sk_c3),sk_c8).
% 197718 [para:197442.1.1,197644.1.2.2] equal(sk_c8,multiply(inverse(sk_c5),sk_c6)) | equal(inverse(sk_c1),sk_c2).
% 197724 [para:197446.1.1,197644.1.2.2] equal(sk_c2,multiply(inverse(sk_c1),sk_c8)) | equal(inverse(sk_c5),sk_c8).
% 197732 [para:197459.1.1,197644.1.2.2] equal(sk_c5,multiply(inverse(sk_c8),identity)) | equal(inverse(sk_c3),sk_c8).
% 197736 [para:197462.1.1,197644.1.2.2] equal(sk_c4,multiply(inverse(sk_c8),identity)) | equal(inverse(sk_c3),sk_c8).
% 197742 [para:197466.1.1,197644.1.2.2] equal(sk_c5,multiply(inverse(sk_c8),identity)) | equal(inverse(sk_c1),sk_c2).
% 197746 [para:197469.1.1,197644.1.2.2] equal(sk_c4,multiply(inverse(sk_c8),identity)) | equal(inverse(sk_c1),sk_c2).
% 197755 [para:197448.2.1,197644.1.2.2] equal(sk_c6,multiply(inverse(sk_c8),sk_c7)) | equal(multiply(sk_c1,sk_c2),sk_c8).
% 197795 [para:197431.1.1,197703.1.2.1] equal(sk_c7,multiply(sk_c8,sk_c8)) | equal(inverse(sk_c5),sk_c8).
% 197801 [para:197795.1.2,197451.2.1,cut:197421] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst13) | -equal(multiply(X,sk_c8),sk_c8) | -equal(inverse(X),sk_c8).
% 197806 [para:197435.1.1,197704.1.2.1] equal(sk_c7,multiply(sk_c8,sk_c8)) | equal(inverse(sk_c4),sk_c8).
% 197812 [para:197806.1.2,197451.2.1,cut:197421] equal(inverse(sk_c4),sk_c8) | $spltprd0($spltcnst13) | -equal(multiply(X,sk_c8),sk_c8) | -equal(inverse(X),sk_c8).
% 197817 [para:197431.2.1,197707.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c6)) | equal(inverse(sk_c3),sk_c8).
% 197829 [para:197817.1.2,197433.1.1] equal(inverse(sk_c3),sk_c8) | equal(sk_c8,sk_c7).
% 197831 [para:197817.1.2,197644.1.2.2,demod:197423] equal(inverse(sk_c3),sk_c8) | equal(sk_c6,identity).
% 197842 [para:197829.2.2,197434.1.1.2] equal(multiply(sk_c4,sk_c8),sk_c8) | equal(inverse(sk_c3),sk_c8).
% 197854 [para:197831.2.1,197433.1.1.2] equal(multiply(sk_c8,identity),sk_c7) | equal(inverse(sk_c3),sk_c8).
% 198006 [para:197441.2.1,197718.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c6)) | equal(inverse(sk_c1),sk_c2).
% 198015 [para:198006.1.2,197443.1.1] equal(inverse(sk_c1),sk_c2) | equal(sk_c8,sk_c7).
% 198017 [para:198006.1.2,197644.1.2.2,demod:197423] equal(inverse(sk_c1),sk_c2) | equal(sk_c6,identity).
% 198029 [para:198015.2.2,197444.1.1.2] equal(multiply(sk_c4,sk_c8),sk_c8) | equal(inverse(sk_c1),sk_c2).
% 198057 [para:198017.2.1,197443.1.1.2] equal(multiply(sk_c8,identity),sk_c7) | equal(inverse(sk_c1),sk_c2).
% 198188 [para:197441.1.1,197724.1.2.1] equal(sk_c2,multiply(sk_c2,sk_c8)) | equal(inverse(sk_c5),sk_c8).
% 198194 [para:198188.1.2,197644.1.2.2,demod:197423] equal(inverse(sk_c5),sk_c8) | equal(sk_c8,identity).
% 198208 [para:198194.2.1,197458.1.1.1,demod:197422] equal(inverse(sk_c5),sk_c8) | equal(sk_c3,identity).
% 198215 [para:198194.2.1,197795.1.2.2] equal(sk_c7,multiply(sk_c8,identity)) | equal(inverse(sk_c5),sk_c8).
% 198223 [para:198208.2.1,197431.1.1.1] equal(inverse(identity),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 198334 [para:198194.2.1,198215.1.2.1,demod:197422] equal(inverse(sk_c5),sk_c8) | equal(sk_c7,identity).
% 198343 [para:198334.2.1,197454.2.1.2,factor:cut:196715] equal(inverse(sk_c5),sk_c8) | -equal(identity,sk_c8) | $spltprd0($spltcnst16).
% 198592 [para:198194.2.1,198343.2.2,cut:197421] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst16).
% 198594 [para:198592.1.1,197423.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | $spltprd0($spltcnst16).
% 198595 [binary:197642,198592.2,cut:197696] equal(inverse(sk_c5),sk_c8) | -$spltprd0($spltcnst13).
% 198606 [para:198594.1.1,197644.1.2.2] equal(sk_c5,multiply(inverse(sk_c8),identity)) | $spltprd0($spltcnst16).
% 198610 [para:198606.1.2,197424.1.1.1,demod:197422] $spltprd0($spltcnst16) | equal(multiply(sk_c5,X),multiply(inverse(sk_c8),X)).
% 199687 [para:198610.2.2,197423.1.1] equal(multiply(sk_c5,sk_c8),identity) | $spltprd0($spltcnst16).
% 199690 [para:198610.2.2,197644.1.2] $spltprd0($spltcnst16) | equal(X,multiply(sk_c5,multiply(sk_c8,X))).
% 199708 [para:198610.2.2,198606.1.2] equal(sk_c5,multiply(sk_c5,identity)) | $spltprd0($spltcnst16).
% 200052 [para:197450.1.1,197630.3.1,cut:197421,binarycut:197445] equal(inverse(sk_c4),sk_c8) | $spltprd0($spltcnst16).
% 200054 [para:200052.1.1,197423.1.1.1] equal(multiply(sk_c8,sk_c4),identity) | $spltprd0($spltcnst16).
% 200055 [binary:197642,200052.2,cut:197696] equal(inverse(sk_c4),sk_c8) | -$spltprd0($spltcnst13).
% 200056 [para:200052.1.1,197644.1.2.1] $spltprd0($spltcnst16) | equal(X,multiply(sk_c8,multiply(sk_c4,X))).
% 200062 [para:200054.1.1,199690.2.2.2] equal(sk_c4,multiply(sk_c5,identity)) | $spltprd0($spltcnst16).
% 200070 [para:200062.1.2,199708.1.2] equal(sk_c5,sk_c4) | $spltprd0($spltcnst16).
% 200093 [para:200070.1.1,199687.1.1.1] equal(multiply(sk_c4,sk_c8),identity) | $spltprd0($spltcnst16).
% 200123 [para:200093.1.1,197842.1.1] equal(inverse(sk_c3),sk_c8) | equal(identity,sk_c8) | $spltprd0($spltcnst16).
% 200125 [para:200093.1.1,198029.1.1] equal(inverse(sk_c1),sk_c2) | equal(identity,sk_c8) | $spltprd0($spltcnst16).
% 200314 [binary:197642,200056,cut:197696] -$spltprd0($spltcnst13) | equal(X,multiply(sk_c8,multiply(sk_c4,X))).
% 200417 [para:200123.2.2,197854.1.1.1,demod:197422] equal(inverse(sk_c3),sk_c8) | equal(identity,sk_c7) | $spltprd0($spltcnst16).
% 200450 [para:200125.2.2,198057.1.1.1,demod:197422] equal(inverse(sk_c1),sk_c2) | equal(identity,sk_c7) | $spltprd0($spltcnst16).
% 200695 [para:200417.2.2,197454.2.1.2,factor:cut:196715] equal(inverse(sk_c3),sk_c8) | -equal(identity,sk_c8) | $spltprd0($spltcnst16).
% 200782 [para:200450.2.2,197454.2.1.2,factor:cut:196715] equal(inverse(sk_c1),sk_c2) | -equal(identity,sk_c8) | $spltprd0($spltcnst16).
% 200824 [para:200123.2.2,200695.2.2,cut:197421] equal(inverse(sk_c3),sk_c8) | $spltprd0($spltcnst16).
% 200827 [binary:197642,200824.2,cut:197696] equal(inverse(sk_c3),sk_c8) | -$spltprd0($spltcnst13).
% 201420 [para:197842.1.1,197666.2.2.2] equal(sk_c8,multiply(sk_c8,sk_c8)) | equal(inverse(sk_c3),sk_c8).
% 201426 [para:200125.2.2,200782.2.2,cut:197421] equal(inverse(sk_c1),sk_c2) | $spltprd0($spltcnst16).
% 201429 [binary:197642,201426.2,cut:197696] equal(inverse(sk_c1),sk_c2) | -$spltprd0($spltcnst13).
% 201576 [para:197450.1.1,197671.2.2.2] equal(sk_c2,multiply(sk_c2,sk_c8)) | equal(inverse(sk_c4),sk_c8).
% 201596 [para:201420.1.2,197644.1.2.2,demod:197423] equal(inverse(sk_c3),sk_c8) | equal(sk_c8,identity).
% 201611 [para:201596.1.1,197423.1.1.1] equal(multiply(sk_c8,sk_c3),identity) | equal(sk_c8,identity).
% 201839 [para:201611.1.1,197644.1.2.2] equal(sk_c3,multiply(inverse(sk_c8),identity)) | equal(sk_c8,identity).
% 202162 [para:201576.1.2,197644.1.2.2,demod:197423] equal(inverse(sk_c4),sk_c8) | equal(sk_c8,identity).
% 202249 [para:202162.1.1,197423.1.1.1] equal(multiply(sk_c8,sk_c4),identity) | equal(sk_c8,identity).
% 202252 [para:202162.2.1,197461.1.1.1,demod:197422] equal(inverse(sk_c4),sk_c8) | equal(sk_c3,identity).
% 202292 [para:202252.2.1,197435.1.1.1] equal(inverse(identity),sk_c8) | equal(inverse(sk_c4),sk_c8).
% 202338 [para:202249.1.1,197644.1.2.2] equal(sk_c4,multiply(inverse(sk_c8),identity)) | equal(sk_c8,identity).
% 204062 [para:202338.1.2,201839.1.2] equal(sk_c3,sk_c4) | equal(sk_c8,identity).
% 204295 [para:204062.1.1,197429.1.1.1] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(sk_c8,identity).
% 204498 [para:204295.2.1,197482.1.1.1,demod:197422] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(sk_c3,identity).
% 204562 [para:204498.2.1,197429.1.1.1,demod:197422] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(sk_c7,sk_c8).
% 204616 [para:204562.1.1,197644.1.2.2] equal(sk_c7,multiply(inverse(sk_c4),sk_c8)) | equal(sk_c7,sk_c8).
% 206621 [para:197736.1.2,197732.1.2] equal(inverse(sk_c3),sk_c8) | equal(sk_c5,sk_c4).
% 206626 [para:206621.2.1,197432.1.1.1] equal(multiply(sk_c4,sk_c8),sk_c6) | equal(inverse(sk_c3),sk_c8).
% 207643 [para:197746.1.2,197742.1.2] equal(inverse(sk_c1),sk_c2) | equal(sk_c5,sk_c4).
% 207648 [para:207643.2.1,197442.1.1.1] equal(multiply(sk_c4,sk_c8),sk_c6) | equal(inverse(sk_c1),sk_c2).
% 212857 [para:197422.1.1,197801.3.1,cut:197421,binarycut:198223] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst13).
% 212862 [binary:198595.2,212857.2] equal(inverse(sk_c5),sk_c8).
% 212904 [para:212862.1.1,197423.1.1.1] equal(multiply(sk_c8,sk_c5),identity).
% 212948 [para:212904.1.1,197644.1.2.2] equal(sk_c5,multiply(inverse(sk_c8),identity)).
% 213024 [para:212948.1.2,197424.1.1.1,demod:197422] equal(multiply(sk_c5,X),multiply(inverse(sk_c8),X)).
% 214278 [para:197422.1.1,197812.3.1,cut:197421,binarycut:202292] equal(inverse(sk_c4),sk_c8) | $spltprd0($spltcnst13).
% 214307 [para:214278.1.1,197644.1.2.1,binarycut:200314] equal(X,multiply(sk_c8,multiply(sk_c4,X))).
% 214314 [binary:200055.2,214278.2] equal(inverse(sk_c4),sk_c8).
% 214315 [para:214314.1.1,197423.1.1.1] equal(multiply(sk_c8,sk_c4),identity).
% 214318 [para:214315.1.1,197644.1.2.2,demod:212948] equal(sk_c4,sk_c5).
% 214326 [para:197447.1.2,214318.2.1.1] equal(multiply(sk_c4,sk_c8),sk_c6) | equal(multiply(sk_c1,sk_c2),sk_c8).
% 214482 [para:214307.1.2,197644.1.2.2,demod:213024] equal(multiply(sk_c4,X),multiply(sk_c5,X)).
% 214526 [para:214482.1.2,197530.3.1,demod:212862,cut:197421,binarycut:206626] equal(inverse(sk_c3),sk_c8) | $spltprd0($spltcnst13).
% 214530 [para:214482.1.2,197532.3.1,demod:212862,cut:197421,binarycut:207648] equal(inverse(sk_c1),sk_c2) | $spltprd0($spltcnst13).
% 214534 [para:214482.1.2,197540.3.1,demod:212862,cut:197421,binarycut:214326] equal(multiply(sk_c1,sk_c2),sk_c8) | $spltprd0($spltcnst13).
% 214572 [binary:200827.2,214526.2] equal(inverse(sk_c3),sk_c8).
% 214575 [para:214572.1.1,197423.1.1.1] equal(multiply(sk_c8,sk_c3),identity).
% 214580 [para:214575.1.1,197644.1.2.2,demod:212948] equal(sk_c3,sk_c5).
% 214595 [para:214580.1.1,197429.1.1.1,demod:214482] equal(multiply(sk_c4,sk_c7),sk_c8).
% 214637 [binary:201429.2,214530.2] equal(inverse(sk_c1),sk_c2).
% 214639 [para:214637.1.1,197423.1.1.1] equal(multiply(sk_c2,sk_c1),identity).
% 214641 [para:214639.1.1,197644.1.2.2] equal(sk_c1,multiply(inverse(sk_c2),identity)).
% 214643 [para:214641.1.2,197424.1.1.1,demod:197422] equal(multiply(sk_c1,X),multiply(inverse(sk_c2),X)).
% 214844 [para:213024.1.2,197423.1.1,demod:214482] equal(multiply(sk_c4,sk_c8),identity).
% 214952 [para:214844.1.1,197644.1.2.2,demod:214314] equal(sk_c8,multiply(sk_c8,identity)).
% 214964 [para:214643.1.2,197423.1.1] equal(multiply(sk_c1,sk_c2),identity).
% 215020 [?] ?
% 215026 [para:214964.1.1,197635.3.1,demod:214637,214844,214482,cut:197421,binarycut:215020] equal(identity,sk_c6) | $spltprd0($spltcnst16).
% 215035 [para:197755.1.1,214964.2.1,demod:214595,214482,213024] equal(identity,sk_c8) | equal(sk_c6,sk_c8).
% 215040 [para:214964.1.1,214534.1.1] equal(identity,sk_c8) | $spltprd0($spltcnst13).
% 215050 [binary:197642,215026.2,cut:197696] equal(identity,sk_c6) | -$spltprd0($spltcnst13).
% 215134 [para:215040.1.2,204616.1.2.2,demod:214952,214314] equal(sk_c7,sk_c8) | $spltprd0($spltcnst13).
% 215164 [para:215134.1.1,197451.2.2,factor:binarycut:215134] -equal(inverse(sk_c8),sk_c8) | $spltprd0($spltcnst13).
% 215259 [?] ?
% 215327 [para:215040.1.2,215164.1.1.1,binarycut:215259] $spltprd0($spltcnst13).
% 215332 [binary:215050.2,215327] equal(identity,sk_c6).
% 215422 [para:215035.2.1,215332.1.2] equal(identity,sk_c8).
% 215509 [para:215422.1.2,204616.1.2.2,demod:214952,214314] equal(sk_c7,sk_c8).
% 215519 [para:215422.1.2,212904.1.1.1,demod:197422] equal(sk_c5,identity).
% 215523 [para:215422.1.2,214952.1.2.1,demod:197422] equal(sk_c8,identity).
% 215534 [para:215509.1.1,197454.2.1.2,factor:cut:215509] -equal(inverse(sk_c8),sk_c8) | $spltprd0($spltcnst16).
% 215581 [para:215519.1.1,212862.1.1.1] equal(inverse(identity),sk_c8).
% 215623 [para:215523.1.1,212948.1.2.1.1,demod:214952,215581] equal(sk_c5,sk_c8).
% 215628 [para:215623.1.1,198592.1.1.1,binarycut:215534] $spltprd0($spltcnst16).
% 215652 [binary:197642,215628,cut:197696,cut:215327] 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 19
% clause depth limited to 3
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 4553
% derived clauses: 779847
% kept clauses: 31533
% kept size sum: 604335
% kept mid-nuclei: 172112
% kept new demods: 221
% forw unit-subs: 172876
% forw double-subs: 347220
% forw overdouble-subs: 34742
% backward subs: 1203
% fast unit cutoff: 4347
% full unit cutoff: 0
% dbl unit cutoff: 7017
% real runtime : 35.34
% process. runtime: 35.31
% specific non-discr-tree subsumption statistics:
% tried: 1116505
% length fails: 72390
% strength fails: 185334
% predlist fails: 33077
% aux str. fails: 184859
% by-lit fails: 195211
% full subs tried: 345012
% full subs fail: 321949
%
% ; 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/GRP211-1+eq_r.in")
%
%------------------------------------------------------------------------------