TSTP Solution File: GRP257-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP257-1 : 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 : 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 49.5s
% Output : Assurance 49.5s
% 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/GRP257-1+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_c8) | -equal(multiply(Z,sk_c9),sk_c8) | -equal(multiply(U,sk_c10),sk_c9) | -equal(inverse(U),sk_c10) | -equal(multiply(V,sk_c8),sk_c9) | -equal(inverse(V),sk_c8) | -equal(multiply(sk_c8,W),sk_c9) | -equal(multiply(X1,sk_c8),W) | -equal(inverse(X1),sk_c8).
% was split for some strategies as:
% -equal(multiply(sk_c8,W),sk_c9) | -equal(multiply(X1,sk_c8),W) | -equal(inverse(X1),sk_c8).
% -equal(multiply(V,sk_c8),sk_c9) | -equal(inverse(V),sk_c8).
% -equal(multiply(U,sk_c10),sk_c9) | -equal(inverse(U),sk_c10).
% -equal(inverse(Z),sk_c8) | -equal(multiply(Z,sk_c9),sk_c8).
% -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(47,40,0,101,0,0,74961,4,1336,81126,5,1501,81126,1,1501,81126,50,1501,81126,40,1501,81180,0,1501,93112,3,1802,93757,4,1952,94688,5,2102,94689,1,2102,94689,50,2102,94689,40,2102,94743,0,2102,95161,3,2405,95172,4,2564,95198,5,2703,95198,1,2703,95198,50,2703,95198,40,2703,95252,0,2703,118529,3,4205,119065,4,4954)
%
%
% START OF PROOF
% 94921 [?] ?
% 95199 [] equal(X,X).
% 95200 [] equal(multiply(identity,X),X).
% 95201 [] equal(multiply(inverse(X),X),identity).
% 95202 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 95204 [] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(inverse(sk_c6),sk_c8).
% 95205 [] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(multiply(sk_c6,sk_c8),sk_c7).
% 95206 [] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(multiply(sk_c8,sk_c7),sk_c9).
% 95207 [] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 95208 [] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 95209 [] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(inverse(sk_c4),sk_c10).
% 95210 [] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(multiply(sk_c4,sk_c10),sk_c9).
% 95211 [] equal(inverse(sk_c3),sk_c8) | equal(inverse(sk_c6),sk_c8).
% 95212 [] equal(multiply(sk_c6,sk_c8),sk_c7) | equal(inverse(sk_c3),sk_c8).
% 95213 [] equal(multiply(sk_c8,sk_c7),sk_c9) | equal(inverse(sk_c3),sk_c8).
% 95214 [] equal(inverse(sk_c3),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 95215 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c3),sk_c8).
% 95216 [] equal(inverse(sk_c3),sk_c8) | equal(inverse(sk_c4),sk_c10).
% 95218 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c6),sk_c8).
% 95219 [] equal(multiply(sk_c6,sk_c8),sk_c7) | equal(inverse(sk_c2),sk_c9).
% 95220 [] equal(multiply(sk_c8,sk_c7),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 95221 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c5),sk_c8).
% 95222 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 95223 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c4),sk_c10).
% 95225 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(inverse(sk_c6),sk_c8).
% 95226 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c6,sk_c8),sk_c7).
% 95227 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c8,sk_c7),sk_c9).
% 95228 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 95229 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 95230 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(inverse(sk_c4),sk_c10).
% 95231 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c4,sk_c10),sk_c9).
% 95232 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c6),sk_c8).
% 95233 [] equal(multiply(sk_c6,sk_c8),sk_c7) | equal(inverse(sk_c1),sk_c10).
% 95234 [] equal(multiply(sk_c8,sk_c7),sk_c9) | equal(inverse(sk_c1),sk_c10).
% 95235 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c5),sk_c8).
% 95236 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c1),sk_c10).
% 95237 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c4),sk_c10).
% 95238 [] equal(multiply(sk_c4,sk_c10),sk_c9) | equal(inverse(sk_c1),sk_c10).
% 95244 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(inverse(sk_c4),sk_c10).
% 95245 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(multiply(sk_c4,sk_c10),sk_c9).
% 95246 [] $spltprd0($spltcnst19) | -equal(multiply(sk_c8,X),sk_c9) | -equal(multiply(Y,sk_c8),X) | -equal(inverse(Y),sk_c8).
% 95247 [] $spltprd0($spltcnst20) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c8).
% 95248 [] $spltprd0($spltcnst21) | -equal(multiply(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10).
% 95249 [] $spltprd0($spltcnst22) | -equal(multiply(X,sk_c9),sk_c8) | -equal(inverse(X),sk_c8).
% 95250 [] $spltprd0($spltcnst23) | -equal(multiply(X,sk_c9),sk_c8) | -equal(inverse(X),sk_c9).
% 95251 [] $spltprd0($spltcnst24) | -equal(multiply(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10).
% 95252 [] -$spltprd0($spltcnst20) | -$spltprd0($spltcnst19) | -$spltprd0($spltcnst21) | -$spltprd0($spltcnst23) | -$spltprd0($spltcnst22) | -$spltprd0($spltcnst24).
% 95258 [para:95211.1.1,95201.1.1.1] equal(multiply(sk_c8,sk_c3),identity) | equal(inverse(sk_c6),sk_c8).
% 95259 [para:95211.2.1,95201.1.1.1] equal(multiply(sk_c8,sk_c6),identity) | equal(inverse(sk_c3),sk_c8).
% 95265 [para:95216.1.1,95201.1.1.1] equal(multiply(sk_c8,sk_c3),identity) | equal(inverse(sk_c4),sk_c10).
% 95268 [para:95218.1.1,95201.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(inverse(sk_c6),sk_c8).
% 95269 [para:95218.2.1,95201.1.1.1] equal(multiply(sk_c8,sk_c6),identity) | equal(inverse(sk_c2),sk_c9).
% 95274 [para:95223.1.1,95201.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(inverse(sk_c4),sk_c10).
% 95278 [para:95232.2.1,95201.1.1.1] equal(multiply(sk_c8,sk_c6),identity) | equal(inverse(sk_c1),sk_c10).
% 95283 [para:95235.2.1,95201.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | equal(inverse(sk_c1),sk_c10).
% 95390 [para:95227.2.1,95246.2.1,cut:95199] equal(multiply(sk_c2,sk_c9),sk_c8) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c8),sk_c7) | -equal(inverse(X),sk_c8).
% 95420 [para:95215.1.1,95247.2.1,cut:95199] -equal(inverse(sk_c5),sk_c8) | equal(inverse(sk_c3),sk_c8) | $spltprd0($spltcnst20).
% 95422 [para:95222.1.1,95247.2.1,cut:95199] -equal(inverse(sk_c5),sk_c8) | equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst20).
% 95423 [para:95208.2.1,95247.2.1,cut:95199] equal(multiply(sk_c3,sk_c9),sk_c8) | -equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst20).
% 95427 [para:95229.2.1,95247.2.1,cut:95199] equal(multiply(sk_c2,sk_c9),sk_c8) | -equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst20).
% 95435 [para:95214.2.1,95420.1.1,cut:95199] equal(inverse(sk_c3),sk_c8) | $spltprd0($spltcnst20).
% 95437 [para:95435.1.1,95201.1.1.1] equal(multiply(sk_c8,sk_c3),identity) | $spltprd0($spltcnst20).
% 95452 [para:95244.1.1,95248.2.1,cut:95199,binarycut:95237] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst21).
% 95460 [para:95245.2.1,95248.2.1,cut:95199,binarycut:95452] equal(multiply(sk_c1,sk_c10),sk_c9) | $spltprd0($spltcnst21).
% 95464 [para:95200.1.1,95249.2.1] -equal(inverse(identity),sk_c8) | -equal(sk_c9,sk_c8) | $spltprd0($spltcnst22).
% 95467 [para:95204.1.1,95249.2.1,cut:95199,binarycut:95211] equal(inverse(sk_c6),sk_c8) | $spltprd0($spltcnst22).
% 95469 [para:95207.1.1,95249.2.1,cut:95199,binarycut:95214] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst22).
% 95471 [para:95209.1.1,95249.2.1,cut:95199,binarycut:95216] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst22).
% 95472 [para:95205.1.1,95249.2.1,cut:95199] equal(multiply(sk_c6,sk_c8),sk_c7) | -equal(inverse(sk_c3),sk_c8) | $spltprd0($spltcnst22).
% 95473 [para:95206.1.1,95249.2.1,cut:95199] equal(multiply(sk_c8,sk_c7),sk_c9) | -equal(inverse(sk_c3),sk_c8) | $spltprd0($spltcnst22).
% 95488 [para:95467.1.1,95201.1.1.1] equal(multiply(sk_c8,sk_c6),identity) | $spltprd0($spltcnst22).
% 95490 [para:95200.1.1,95250.2.1] -equal(inverse(identity),sk_c9) | -equal(sk_c9,sk_c8) | $spltprd0($spltcnst23).
% 95498 [para:95225.1.1,95250.2.1,cut:95199,binarycut:95218] equal(inverse(sk_c6),sk_c8) | $spltprd0($spltcnst23).
% 95502 [para:95230.1.1,95250.2.1,cut:95199,binarycut:95223] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst23).
% 95505 [para:95226.1.1,95250.2.1,cut:95199] equal(multiply(sk_c6,sk_c8),sk_c7) | -equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst23).
% 95506 [para:95227.1.1,95250.2.1,cut:95199] equal(multiply(sk_c8,sk_c7),sk_c9) | -equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst23).
% 95513 [para:95469.1.1,95201.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | $spltprd0($spltcnst22).
% 95515 [para:95471.1.1,95201.1.1.1] equal(multiply(sk_c10,sk_c4),identity) | $spltprd0($spltcnst22).
% 95517 [para:95498.1.1,95201.1.1.1] equal(multiply(sk_c8,sk_c6),identity) | $spltprd0($spltcnst23).
% 95521 [para:95502.1.1,95201.1.1.1] equal(multiply(sk_c10,sk_c4),identity) | $spltprd0($spltcnst23).
% 95534 [para:95244.1.1,95251.2.1,cut:95199,binarycut:95237] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst24).
% 95542 [para:95245.2.1,95251.2.1,cut:95199,binarycut:95534] equal(multiply(sk_c1,sk_c10),sk_c9) | $spltprd0($spltcnst24).
% 95553 [para:95460.1.1,95248.2.1,cut:95199] -equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst21).
% 95561 [para:95238.2.1,95553.1.1,cut:95199] equal(multiply(sk_c4,sk_c10),sk_c9) | $spltprd0($spltcnst21).
% 95569 [para:95201.1.1,95202.1.1.1,demod:95200] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 95609 [para:95268.1.1,95202.1.1.1,demod:95200] equal(inverse(sk_c6),sk_c8) | equal(X,multiply(sk_c9,multiply(sk_c2,X))).
% 95612 [para:95269.1.1,95202.1.1.1,demod:95200] equal(inverse(sk_c2),sk_c9) | equal(X,multiply(sk_c8,multiply(sk_c6,X))).
% 95615 [para:95274.1.1,95202.1.1.1,demod:95200] equal(inverse(sk_c4),sk_c10) | equal(X,multiply(sk_c9,multiply(sk_c2,X))).
% 95620 [para:95278.1.1,95202.1.1.1,demod:95200] equal(inverse(sk_c1),sk_c10) | equal(X,multiply(sk_c8,multiply(sk_c6,X))).
% 95622 [para:95283.1.1,95202.1.1.1,demod:95200] equal(inverse(sk_c1),sk_c10) | equal(X,multiply(sk_c8,multiply(sk_c5,X))).
% 95656 [para:95488.1.1,95202.1.1.1,demod:95200] $spltprd0($spltcnst22) | equal(X,multiply(sk_c8,multiply(sk_c6,X))).
% 95675 [para:95542.1.1,95251.2.1,cut:95199] -equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst24).
% 95681 [para:95238.2.1,95675.1.1,cut:95199] equal(multiply(sk_c4,sk_c10),sk_c9) | $spltprd0($spltcnst24).
% 95706 [para:95561.1.1,95248.2.1,cut:95199,binarycut:95452] $spltprd0($spltcnst21).
% 95727 [para:95681.1.1,95251.2.1,cut:95199,binarycut:95534] $spltprd0($spltcnst24).
% 95734 [para:95204.1.1,95569.1.2.2] equal(sk_c9,multiply(inverse(sk_c3),sk_c8)) | equal(inverse(sk_c6),sk_c8).
% 95736 [para:95209.1.1,95569.1.2.2] equal(sk_c9,multiply(inverse(sk_c3),sk_c8)) | equal(inverse(sk_c4),sk_c10).
% 95737 [para:95212.1.1,95569.1.2.2] equal(sk_c8,multiply(inverse(sk_c6),sk_c7)) | equal(inverse(sk_c3),sk_c8).
% 95741 [para:95215.1.1,95569.1.2.2] equal(sk_c8,multiply(inverse(sk_c5),sk_c9)) | equal(inverse(sk_c3),sk_c8).
% 95743 [para:95219.1.1,95569.1.2.2] equal(sk_c8,multiply(inverse(sk_c6),sk_c7)) | equal(inverse(sk_c2),sk_c9).
% 95841 [para:95437.1.1,95569.1.2.2] equal(sk_c3,multiply(inverse(sk_c8),identity)) | $spltprd0($spltcnst20).
% 95842 [para:95488.1.1,95569.1.2.2] equal(sk_c6,multiply(inverse(sk_c8),identity)) | $spltprd0($spltcnst22).
% 95843 [para:95513.1.1,95569.1.2.2] equal(sk_c5,multiply(inverse(sk_c8),identity)) | $spltprd0($spltcnst22).
% 95844 [para:95515.1.1,95569.1.2.2] equal(sk_c4,multiply(inverse(sk_c10),identity)) | $spltprd0($spltcnst22).
% 95845 [para:95517.1.1,95569.1.2.2] equal(sk_c6,multiply(inverse(sk_c8),identity)) | $spltprd0($spltcnst23).
% 95847 [para:95521.1.1,95569.1.2.2] equal(sk_c4,multiply(inverse(sk_c10),identity)) | $spltprd0($spltcnst23).
% 95861 [para:95841.1.2,95202.1.1.1,demod:95200] $spltprd0($spltcnst20) | equal(multiply(sk_c3,X),multiply(inverse(sk_c8),X)).
% 95863 [para:95842.1.2,95202.1.1.1,demod:95200] $spltprd0($spltcnst22) | equal(multiply(sk_c6,X),multiply(inverse(sk_c8),X)).
% 95882 [para:95843.1.2,95842.1.2] equal(sk_c6,sk_c5) | $spltprd0($spltcnst22).
% 95909 [para:95844.1.2,95202.1.1.1,demod:95200] $spltprd0($spltcnst22) | equal(multiply(sk_c4,X),multiply(inverse(sk_c10),X)).
% 95911 [para:95845.1.2,95202.1.1.1,demod:95200] $spltprd0($spltcnst23) | equal(multiply(sk_c6,X),multiply(inverse(sk_c8),X)).
% 95959 [para:95847.1.2,95202.1.1.1,demod:95200] $spltprd0($spltcnst23) | equal(multiply(sk_c4,X),multiply(inverse(sk_c10),X)).
% 96050 [para:95861.2.2,95201.1.1] equal(multiply(sk_c3,sk_c8),identity) | $spltprd0($spltcnst20).
% 96071 [para:96050.1.1,95569.1.2.2] equal(sk_c8,multiply(inverse(sk_c3),identity)) | $spltprd0($spltcnst20).
% 96117 [para:96071.1.2,95202.1.1.1,demod:95200] $spltprd0($spltcnst20) | equal(multiply(sk_c8,X),multiply(inverse(sk_c3),X)).
% 96432 [para:95863.2.2,95201.1.1] equal(multiply(sk_c6,sk_c8),identity) | $spltprd0($spltcnst22).
% 96456 [para:96432.1.1,95569.1.2.2] equal(sk_c8,multiply(inverse(sk_c6),identity)) | $spltprd0($spltcnst22).
% 96459 [para:95882.1.1,96432.1.1.1] equal(multiply(sk_c5,sk_c8),identity) | $spltprd0($spltcnst22).
% 96483 [para:96459.1.1,95215.1.1] equal(inverse(sk_c3),sk_c8) | equal(identity,sk_c9) | $spltprd0($spltcnst22).
% 96518 [para:96456.1.2,95202.1.1.1,demod:95200] $spltprd0($spltcnst22) | equal(multiply(sk_c8,X),multiply(inverse(sk_c6),X)).
% 96671 [para:95909.2.2,95201.1.1] equal(multiply(sk_c4,sk_c10),identity) | $spltprd0($spltcnst22).
% 96715 [para:95911.2.2,95201.1.1] equal(multiply(sk_c6,sk_c8),identity) | $spltprd0($spltcnst23).
% 96759 [para:96715.1.1,95569.1.2.2] equal(sk_c8,multiply(inverse(sk_c6),identity)) | $spltprd0($spltcnst23).
% 96853 [para:96759.1.2,95202.1.1.1,demod:95200] $spltprd0($spltcnst23) | equal(multiply(sk_c8,X),multiply(inverse(sk_c6),X)).
% 97024 [para:95959.2.2,95201.1.1] equal(multiply(sk_c4,sk_c10),identity) | $spltprd0($spltcnst23).
% 97066 [para:95569.1.2,96117.2.2] $spltprd0($spltcnst20) | equal(multiply(sk_c8,multiply(sk_c3,X)),X).
% 97090 [para:95569.1.2,96518.2.2] $spltprd0($spltcnst22) | equal(multiply(sk_c8,multiply(sk_c6,X)),X).
% 97197 [para:95569.1.2,96853.2.2] $spltprd0($spltcnst23) | equal(multiply(sk_c8,multiply(sk_c6,X)),X).
% 97282 [para:95221.2.1,95422.1.1,cut:95199] equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst20).
% 97285 [para:97282.1.1,95201.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | $spltprd0($spltcnst20).
% 97290 [para:97285.1.1,95569.1.2.2] equal(sk_c2,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst20).
% 97293 [para:97290.1.2,95202.1.1.1,demod:95200] $spltprd0($spltcnst20) | equal(multiply(sk_c2,X),multiply(inverse(sk_c9),X)).
% 97307 [para:97293.2.2,95201.1.1] equal(multiply(sk_c2,sk_c9),identity) | $spltprd0($spltcnst20).
% 97622 [para:95207.2.1,95423.2.1,cut:95199] equal(multiply(sk_c3,sk_c9),sk_c8) | $spltprd0($spltcnst20).
% 97628 [para:97622.1.1,97066.2.1.2] equal(multiply(sk_c8,sk_c8),sk_c9) | $spltprd0($spltcnst20).
% 97690 [para:95228.2.1,95427.2.1,cut:95199] equal(multiply(sk_c2,sk_c9),sk_c8) | $spltprd0($spltcnst20).
% 97696 [para:97690.1.1,97307.1.1] equal(sk_c8,identity) | $spltprd0($spltcnst20).
% 97707 [?] ?
% 97727 [para:97696.1.1,97628.1.1.1,demod:95200,binarycut:97707] $spltprd0($spltcnst20).
% 97728 [binary:95252,97727,cut:95706,cut:95727] -$spltprd0($spltcnst23) | -$spltprd0($spltcnst22) | -$spltprd0($spltcnst19).
% 97858 [para:95212.2.1,95472.2.1,cut:95199] equal(multiply(sk_c6,sk_c8),sk_c7) | $spltprd0($spltcnst22).
% 97863 [para:97858.1.1,95656.2.2.2] equal(sk_c8,multiply(sk_c8,sk_c7)) | $spltprd0($spltcnst22).
% 97867 [para:97858.1.1,97090.2.1.2] equal(multiply(sk_c8,sk_c7),sk_c8) | $spltprd0($spltcnst22).
% 97929 [para:95213.2.1,95473.2.1,cut:95199] equal(multiply(sk_c8,sk_c7),sk_c9) | $spltprd0($spltcnst22).
% 97951 [para:97929.1.1,97863.1.2] equal(sk_c8,sk_c9) | $spltprd0($spltcnst22).
% 97952 [para:97929.1.1,97867.1.1] equal(sk_c9,sk_c8) | $spltprd0($spltcnst22).
% 97990 [para:97951.1.1,95464.1.2,binarycut:97952] -equal(inverse(identity),sk_c9) | $spltprd0($spltcnst22).
% 98021 [para:96483.2.2,97990.1.2,cut:94921] equal(inverse(sk_c3),sk_c8) | $spltprd0($spltcnst22).
% 98034 [para:95210.1.1,95249.2.1,cut:95199,binarycut:98021] equal(multiply(sk_c4,sk_c10),sk_c9) | $spltprd0($spltcnst22).
% 98038 [para:98034.1.1,96671.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst22).
% 98052 [para:98038.1.1,97990.1.2,cut:94921] $spltprd0($spltcnst22).
% 98078 [para:95219.2.1,95505.2.1,cut:95199] equal(multiply(sk_c6,sk_c8),sk_c7) | $spltprd0($spltcnst23).
% 98087 [para:98078.1.1,97197.2.1.2] equal(multiply(sk_c8,sk_c7),sk_c8) | $spltprd0($spltcnst23).
% 98107 [para:95220.2.1,95506.2.1,cut:95199] equal(multiply(sk_c8,sk_c7),sk_c9) | $spltprd0($spltcnst23).
% 98184 [para:98107.1.1,98087.1.1] equal(sk_c9,sk_c8) | $spltprd0($spltcnst23).
% 98234 [?] ?
% 98249 [para:95231.1.1,95250.2.1,cut:95199,binarycut:98234] equal(multiply(sk_c4,sk_c10),sk_c9) | $spltprd0($spltcnst23).
% 98253 [para:98249.1.1,97024.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst23).
% 98264 [para:98253.1.1,95490.1.2,cut:94921,binarycut:98184] $spltprd0($spltcnst23).
% 98266 [binary:97728,98264,cut:98052] -$spltprd0($spltcnst19).
% 98305 [para:95211.1.1,95734.1.2.1] equal(sk_c9,multiply(sk_c8,sk_c8)) | equal(inverse(sk_c6),sk_c8).
% 98336 [para:95216.1.1,95736.1.2.1] equal(sk_c9,multiply(sk_c8,sk_c8)) | equal(inverse(sk_c4),sk_c10).
% 98354 [para:95211.2.1,95737.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c7)) | equal(inverse(sk_c3),sk_c8).
% 98358 [para:98354.1.2,95213.1.1] equal(inverse(sk_c3),sk_c8) | equal(sk_c8,sk_c9).
% 98365 [para:98358.1.1,95201.1.1.1] equal(multiply(sk_c8,sk_c3),identity) | equal(sk_c8,sk_c9).
% 98372 [para:98358.2.1,95259.1.1.1] equal(multiply(sk_c9,sk_c6),identity) | equal(inverse(sk_c3),sk_c8).
% 98688 [para:95214.2.1,95741.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c9)) | equal(inverse(sk_c3),sk_c8).
% 98695 [para:98688.1.2,95569.1.2.2,demod:95201] equal(inverse(sk_c3),sk_c8) | equal(sk_c9,identity).
% 98712 [para:98695.2.1,98372.1.1.1,demod:95200] equal(inverse(sk_c3),sk_c8) | equal(sk_c6,identity).
% 98746 [para:98712.1.1,95201.1.1.1] equal(multiply(sk_c8,sk_c3),identity) | equal(sk_c6,identity).
% 99864 [para:95218.2.1,95743.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c7)) | equal(inverse(sk_c2),sk_c9).
% 99877 [para:99864.1.2,95220.1.1] equal(inverse(sk_c2),sk_c9) | equal(sk_c8,sk_c9).
% 99942 [para:99877.1.1,95201.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(sk_c8,sk_c9).
% 99947 [para:99877.2.1,95219.1.1.2] equal(multiply(sk_c6,sk_c9),sk_c7) | equal(inverse(sk_c2),sk_c9).
% 100480 [para:95225.1.1,95609.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c8)) | equal(inverse(sk_c6),sk_c8).
% 100488 [para:100480.1.2,95569.1.2.2,demod:95201] equal(inverse(sk_c6),sk_c8) | equal(sk_c8,identity).
% 100498 [para:100488.2.1,95258.1.1.1,demod:95200] equal(inverse(sk_c6),sk_c8) | equal(sk_c3,identity).
% 100502 [para:100488.2.1,98305.1.2.1,demod:95200] equal(inverse(sk_c6),sk_c8) | equal(sk_c9,sk_c8).
% 100522 [para:100498.2.1,95211.1.1.1] equal(inverse(identity),sk_c8) | equal(inverse(sk_c6),sk_c8).
% 100842 [para:99947.1.1,95612.2.2.2] equal(sk_c9,multiply(sk_c8,sk_c7)) | equal(inverse(sk_c2),sk_c9).
% 100946 [para:95230.1.1,95615.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c8)) | equal(inverse(sk_c4),sk_c10).
% 101999 [para:99864.1.2,100842.1.2] equal(inverse(sk_c2),sk_c9) | equal(sk_c9,sk_c8).
% 102005 [para:101999.1.1,95201.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(sk_c9,sk_c8).
% 102075 [para:95233.1.1,95620.2.2.2] equal(sk_c8,multiply(sk_c8,sk_c7)) | equal(inverse(sk_c1),sk_c10).
% 102226 [para:95236.1.1,95622.2.2.2] equal(sk_c8,multiply(sk_c8,sk_c9)) | equal(inverse(sk_c1),sk_c10).
% 103019 [para:100946.1.2,95569.1.2.2,demod:95201] equal(inverse(sk_c4),sk_c10) | equal(sk_c8,identity).
% 103035 [para:103019.2.1,95265.1.1.1,demod:95200] equal(inverse(sk_c4),sk_c10) | equal(sk_c3,identity).
% 103039 [para:103019.2.1,98336.1.2.1,demod:95200] equal(inverse(sk_c4),sk_c10) | equal(sk_c9,sk_c8).
% 103070 [para:103035.2.1,95216.1.1.1] equal(inverse(identity),sk_c8) | equal(inverse(sk_c4),sk_c10).
% 103145 [para:103019.2.2,103039.2.1] equal(inverse(sk_c4),sk_c10) | equal(sk_c9,identity).
% 103147 [para:103145.1.1,95201.1.1.1] equal(multiply(sk_c10,sk_c4),identity) | equal(sk_c9,identity).
% 103151 [para:103145.2.1,95274.1.1.1,demod:95200] equal(inverse(sk_c4),sk_c10) | equal(sk_c2,identity).
% 103185 [para:103151.2.1,95223.1.1.1] equal(inverse(identity),sk_c9) | equal(inverse(sk_c4),sk_c10).
% 103195 [para:103070.1.1,103185.1.1] equal(inverse(sk_c4),sk_c10) | equal(sk_c8,sk_c9).
% 103197 [para:103195.1.1,95201.1.1.1] equal(multiply(sk_c10,sk_c4),identity) | equal(sk_c8,sk_c9).
% 103329 [para:103147.1.1,95569.1.2.2] equal(sk_c4,multiply(inverse(sk_c10),identity)) | equal(sk_c9,identity).
% 103390 [para:103197.1.1,95569.1.2.2] equal(sk_c4,multiply(inverse(sk_c10),identity)) | equal(sk_c8,sk_c9).
% 103586 [para:102075.1.2,95234.1.1] equal(inverse(sk_c1),sk_c10) | equal(sk_c8,sk_c9).
% 103603 [para:103586.1.1,95201.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(sk_c8,sk_c9).
% 103731 [para:103603.1.1,95569.1.2.2] equal(sk_c1,multiply(inverse(sk_c10),identity)) | equal(sk_c8,sk_c9).
% 103885 [para:102226.1.2,95569.1.2.2,demod:95201] equal(inverse(sk_c1),sk_c10) | equal(sk_c9,identity).
% 103916 [para:103885.1.1,95201.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(sk_c9,identity).
% 103937 [para:103916.1.1,95569.1.2.2] equal(sk_c1,multiply(inverse(sk_c10),identity)) | equal(sk_c9,identity).
% 107492 [para:103731.1.2,103390.1.2] equal(sk_c4,sk_c1) | equal(sk_c8,sk_c9).
% 107591 [para:107492.1.2,95245.1.1.1] equal(multiply(sk_c4,sk_c10),sk_c9) | equal(sk_c8,sk_c9).
% 107881 [para:107591.1.1,95569.1.2.2] equal(sk_c10,multiply(inverse(sk_c4),sk_c9)) | equal(sk_c8,sk_c9).
% 108081 [para:103937.1.2,103329.1.2] equal(sk_c4,sk_c1) | equal(sk_c9,identity).
% 108097 [para:108081.1.2,95245.1.1.1] equal(multiply(sk_c4,sk_c10),sk_c9) | equal(sk_c9,identity).
% 108215 [para:108097.1.1,95569.1.2.2] equal(sk_c10,multiply(inverse(sk_c4),sk_c9)) | equal(sk_c9,identity).
% 109353 [para:103195.1.1,107881.1.2.1] equal(sk_c10,multiply(sk_c10,sk_c9)) | equal(sk_c8,sk_c9).
% 109383 [para:109353.1.2,95569.1.2.2,demod:95201] equal(sk_c9,identity) | equal(sk_c8,sk_c9).
% 109583 [para:109383.1.1,99942.1.1.1,demod:95200] equal(sk_c2,identity) | equal(sk_c8,sk_c9).
% 109732 [para:109583.1.1,99877.1.1.1] equal(inverse(identity),sk_c9) | equal(sk_c8,sk_c9).
% 109810 [para:109732.1.1,95569.1.2.1,demod:95200] equal(sk_c8,sk_c9) | equal(X,multiply(sk_c9,X)).
% 111089 [para:103145.1.1,108215.1.2.1] equal(sk_c10,multiply(sk_c10,sk_c9)) | equal(sk_c9,identity).
% 111105 [para:111089.1.2,95569.1.2.2,demod:95201] equal(sk_c9,identity).
% 111254 [para:111105.1.1,102005.1.1.1,demod:95200] equal(sk_c2,identity) | equal(sk_c9,sk_c8).
% 111322 [para:111254.1.1,95226.1.1.1,demod:95200] equal(multiply(sk_c6,sk_c8),sk_c7) | equal(sk_c9,sk_c8).
% 112638 [para:111322.1.1,95390.3.1,cut:95199,cut:98266,binarycut:100502] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(sk_c9,sk_c8).
% 113693 [para:111254.1.1,112638.1.1.1,demod:95200] equal(sk_c9,sk_c8).
% 113707 [para:113693.1.2,98365.1.1.1] equal(multiply(sk_c9,sk_c3),identity) | equal(sk_c8,sk_c9).
% 113715 [para:113693.1.2,98746.1.1.1] equal(multiply(sk_c9,sk_c3),identity) | equal(sk_c6,identity).
% 114343 [para:109810.1.1,113707.2.2] equal(sk_c3,identity) | equal(sk_c8,sk_c9).
% 114356 [para:114343.1.1,98358.1.1.1] equal(inverse(identity),sk_c8) | equal(sk_c8,sk_c9).
% 114393 [para:114356.1.1,109732.1.1] equal(sk_c8,sk_c9).
% 115000 [para:111105.1.1,113715.1.1.1,demod:95200] equal(sk_c3,identity) | equal(sk_c6,identity).
% 115048 [para:115000.1.1,98712.1.1.1] equal(inverse(identity),sk_c8) | equal(sk_c6,identity).
% 115355 [para:100522.2.1,115048.2.1.1] equal(inverse(identity),sk_c8).
% 115367 [para:115355.1.1,95569.1.2.1,demod:95200] equal(X,multiply(sk_c8,X)).
% 115372 [para:115367.1.2,95246.2.1,cut:98266] -equal(multiply(X,sk_c8),Y) | -equal(inverse(X),sk_c8) | -equal(Y,sk_c9).
% 119113 [binary:95200,115372,demod:115355,cut:95199,cut:114393] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using unit paramodulation strategy
% using unit 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: 5871
% derived clauses: 1542681
% kept clauses: 37374
% kept size sum: 703100
% kept mid-nuclei: 75119
% kept new demods: 186
% forw unit-subs: 345643
% forw double-subs: 612673
% forw overdouble-subs: 61006
% backward subs: 2826
% fast unit cutoff: 7589
% full unit cutoff: 0
% dbl unit cutoff: 334
% real runtime : 50.72
% process. runtime: 50.12
% specific non-discr-tree subsumption statistics:
% tried: 1365475
% length fails: 66277
% strength fails: 383464
% predlist fails: 276674
% aux str. fails: 125379
% by-lit fails: 224947
% full subs tried: 189363
% full subs fail: 137603
%
% ; 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/GRP257-1+eq_r.in")
%
%------------------------------------------------------------------------------