TSTP Solution File: GRP215-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP215-1 : 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 : art04.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 60.0s
% Output : Assurance 60.0s
% 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/GRP215-1+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 17)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 17)
% (binary-posweight-lex-big-order 30 #f 3 17)
% (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_c7),sk_c6) | -equal(inverse(X),sk_c7) | -equal(multiply(Y,sk_c6),sk_c7) | -equal(inverse(Y),sk_c6) | -equal(inverse(Z),sk_c7) | -equal(multiply(Z,sk_c6),sk_c7) | -equal(multiply(sk_c7,U),sk_c6) | -equal(multiply(V,sk_c7),U) | -equal(inverse(V),sk_c7).
% was split for some strategies as:
% -equal(multiply(sk_c7,U),sk_c6) | -equal(multiply(V,sk_c7),U) | -equal(inverse(V),sk_c7).
% -equal(inverse(Z),sk_c7) | -equal(multiply(Z,sk_c6),sk_c7).
% -equal(multiply(Y,sk_c6),sk_c7) | -equal(inverse(Y),sk_c6).
% -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(25,40,0,55,0,0,6551,50,57,6581,0,57,13124,50,118,13154,0,118,19718,50,191,19748,0,191,26326,50,237,26356,0,237,32949,50,286,32979,0,286,39592,50,343,39622,0,343,46255,50,415,46285,0,415,52944,50,519,52974,0,519,59659,50,691,59689,0,691,66406,50,954,66406,40,954,66436,0,954,76145,3,1255,76983,4,1405,79036,5,1555,79037,1,1555,79037,50,1555,79037,40,1555,79067,0,1555,79451,3,1857,79462,4,2015,79470,5,2157,79470,1,2157,79470,50,2157,79470,40,2157,79500,0,2157,105339,3,3665,106250,4,4408,107210,5,5158,107211,1,5158,107211,50,5159,107211,40,5159,107241,0,5159,117088,3,5910)
%
%
% START OF PROOF
% 79182 [?] ?
% 94325 [?] ?
% 96371 [?] ?
% 107212 [] equal(X,X).
% 107213 [] equal(multiply(identity,X),X).
% 107214 [] equal(multiply(inverse(X),X),identity).
% 107215 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 107217 [] equal(inverse(sk_c2),sk_c6) | equal(inverse(sk_c4),sk_c7).
% 107218 [] equal(multiply(sk_c4,sk_c7),sk_c5) | equal(inverse(sk_c2),sk_c6).
% 107219 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(inverse(sk_c2),sk_c6).
% 107220 [] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(inverse(sk_c2),sk_c6).
% 107221 [] equal(inverse(sk_c2),sk_c6) | equal(inverse(sk_c3),sk_c7).
% 107222 [] equal(multiply(sk_c2,sk_c6),sk_c7) | equal(inverse(sk_c4),sk_c7).
% 107223 [] equal(multiply(sk_c2,sk_c6),sk_c7) | equal(multiply(sk_c4,sk_c7),sk_c5).
% 107224 [] equal(multiply(sk_c2,sk_c6),sk_c7) | equal(multiply(sk_c7,sk_c5),sk_c6).
% 107225 [] equal(multiply(sk_c2,sk_c6),sk_c7) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 107226 [] equal(multiply(sk_c2,sk_c6),sk_c7) | equal(inverse(sk_c3),sk_c7).
% 107227 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c4),sk_c7).
% 107228 [] equal(multiply(sk_c4,sk_c7),sk_c5) | equal(inverse(sk_c1),sk_c7).
% 107229 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(inverse(sk_c1),sk_c7).
% 107230 [] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(inverse(sk_c1),sk_c7).
% 107231 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c3),sk_c7).
% 107232 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(inverse(sk_c4),sk_c7).
% 107233 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(multiply(sk_c4,sk_c7),sk_c5).
% 107234 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(multiply(sk_c7,sk_c5),sk_c6).
% 107235 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 107236 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(inverse(sk_c3),sk_c7).
% 107237 [] $spltprd0($spltcnst17) | -equal(multiply(sk_c7,X),sk_c6) | -equal(multiply(Y,sk_c7),X) | -equal(inverse(Y),sk_c7).
% 107238 [] $spltprd0($spltcnst18) | -equal(multiply(X,sk_c6),sk_c7) | -equal(inverse(X),sk_c7).
% 107239 [] $spltprd0($spltcnst19) | -equal(multiply(X,sk_c6),sk_c7) | -equal(inverse(X),sk_c6).
% 107240 [] $spltprd0($spltcnst20) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 107241 [] -$spltprd0($spltcnst18) | -$spltprd0($spltcnst17) | -$spltprd0($spltcnst20) | -$spltprd0($spltcnst19).
% 107244 [para:107217.1.1,107214.1.1.1] equal(multiply(sk_c6,sk_c2),identity) | equal(inverse(sk_c4),sk_c7).
% 107247 [para:107221.1.1,107214.1.1.1] equal(multiply(sk_c6,sk_c2),identity) | equal(inverse(sk_c3),sk_c7).
% 107251 [para:107227.1.1,107214.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | equal(inverse(sk_c4),sk_c7).
% 107254 [para:107231.1.1,107214.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | equal(inverse(sk_c3),sk_c7).
% 107258 [para:107218.2.1,107214.1.1.1] equal(multiply(sk_c6,sk_c2),identity) | equal(multiply(sk_c4,sk_c7),sk_c5).
% 107267 [para:107226.2.1,107214.1.1.1] equal(multiply(sk_c7,sk_c3),identity) | equal(multiply(sk_c2,sk_c6),sk_c7).
% 107269 [para:107228.2.1,107214.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | equal(multiply(sk_c4,sk_c7),sk_c5).
% 107271 [para:107229.2.1,107214.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | equal(multiply(sk_c7,sk_c5),sk_c6).
% 107274 [para:107230.2.1,107214.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 107285 [para:107247.2.1,107214.1.1.1] equal(multiply(sk_c7,sk_c3),identity) | equal(multiply(sk_c6,sk_c2),identity).
% 107314 [para:107251.1.1,107237.2.1,cut:94325] equal(inverse(sk_c4),sk_c7) | $spltprd0($spltcnst17) | -equal(multiply(X,sk_c7),sk_c1) | -equal(inverse(X),sk_c7).
% 107316 [para:107254.1.1,107237.2.1,cut:94325] equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst17) | -equal(multiply(X,sk_c7),sk_c1) | -equal(inverse(X),sk_c7).
% 107328 [para:107213.1.1,107238.2.1] -equal(inverse(identity),sk_c7) | -equal(sk_c6,sk_c7) | $spltprd0($spltcnst18).
% 107330 [para:107220.1.1,107238.2.1,cut:107212] -equal(inverse(sk_c3),sk_c7) | equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst18).
% 107346 [para:107220.1.1,107239.2.1,cut:107212] -equal(inverse(sk_c3),sk_c6) | equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst19).
% 107348 [para:107222.1.1,107239.2.1,cut:107212,binarycut:107217] equal(inverse(sk_c4),sk_c7) | $spltprd0($spltcnst19).
% 107350 [para:107226.1.1,107239.2.1,cut:107212,binarycut:107221] equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst19).
% 107352 [para:107223.1.1,107239.2.1,cut:107212] equal(multiply(sk_c4,sk_c7),sk_c5) | -equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst19).
% 107353 [para:107224.1.1,107239.2.1,cut:107212] equal(multiply(sk_c7,sk_c5),sk_c6) | -equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst19).
% 107361 [para:107348.1.1,107214.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | $spltprd0($spltcnst19).
% 107376 [para:107232.1.1,107240.2.1,cut:107212,binarycut:107227] equal(inverse(sk_c4),sk_c7) | $spltprd0($spltcnst20).
% 107387 [para:107376.1.1,107214.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | $spltprd0($spltcnst20).
% 107395 [para:107214.1.1,107215.1.1.1,demod:107213] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 107408 [para:107244.1.1,107215.1.1.1,demod:107213] equal(inverse(sk_c4),sk_c7) | equal(X,multiply(sk_c6,multiply(sk_c2,X))).
% 107410 [para:107247.1.1,107215.1.1.1,demod:107213] equal(inverse(sk_c3),sk_c7) | equal(X,multiply(sk_c6,multiply(sk_c2,X))).
% 107426 [para:107258.1.1,107215.1.1.1,demod:107213] equal(multiply(sk_c4,sk_c7),sk_c5) | equal(X,multiply(sk_c6,multiply(sk_c2,X))).
% 107438 [para:107361.1.1,107215.1.1.1,demod:107213] $spltprd0($spltcnst19) | equal(X,multiply(sk_c7,multiply(sk_c4,X))).
% 107451 [para:107218.1.1,107395.1.2.2] equal(sk_c7,multiply(inverse(sk_c4),sk_c5)) | equal(inverse(sk_c2),sk_c6).
% 107482 [para:107254.1.1,107395.1.2.2] equal(sk_c1,multiply(inverse(sk_c7),identity)) | equal(inverse(sk_c3),sk_c7).
% 107506 [para:107387.1.1,107395.1.2.2] equal(sk_c4,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst20).
% 107526 [para:107506.1.2,107215.1.1.1,demod:107213] $spltprd0($spltcnst20) | equal(multiply(sk_c4,X),multiply(inverse(sk_c7),X)).
% 107803 [para:107526.2.2,107214.1.1] equal(multiply(sk_c4,sk_c7),identity) | $spltprd0($spltcnst20).
% 107829 [para:107803.1.1,107240.2.1,cut:94325,binarycut:107376] $spltprd0($spltcnst20).
% 107896 [para:107221.2.1,107330.1.1,cut:107212] equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst18).
% 107903 [para:107896.1.1,107214.1.1.1] equal(multiply(sk_c6,sk_c2),identity) | $spltprd0($spltcnst18).
% 107908 [para:107903.1.1,107395.1.2.2] equal(sk_c2,multiply(inverse(sk_c6),identity)) | $spltprd0($spltcnst18).
% 107918 [para:107908.1.2,107215.1.1.1,demod:107213] $spltprd0($spltcnst18) | equal(multiply(sk_c2,X),multiply(inverse(sk_c6),X)).
% 107930 [para:107918.2.2,107214.1.1] equal(multiply(sk_c2,sk_c6),identity) | $spltprd0($spltcnst18).
% 107945 [para:107930.1.1,107222.1.1] equal(inverse(sk_c4),sk_c7) | equal(identity,sk_c7) | $spltprd0($spltcnst18).
% 107947 [para:107930.1.1,107226.1.1] equal(inverse(sk_c3),sk_c7) | equal(identity,sk_c7) | $spltprd0($spltcnst18).
% 108015 [para:107945.2.2,107328.1.2,cut:79182] equal(inverse(sk_c4),sk_c7) | -equal(sk_c6,sk_c7) | $spltprd0($spltcnst18).
% 108027 [para:107947.2.2,107328.1.2,cut:79182] equal(inverse(sk_c3),sk_c7) | -equal(sk_c6,sk_c7) | $spltprd0($spltcnst18).
% 108078 [para:107945.2.2,108015.2.2,cut:96371] equal(inverse(sk_c4),sk_c7) | $spltprd0($spltcnst18).
% 108080 [para:108078.1.1,107214.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | $spltprd0($spltcnst18).
% 108086 [para:108080.1.1,107395.1.2.2] equal(sk_c4,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst18).
% 108101 [para:107232.1.1,107314.3.1,binarycut:107227] equal(inverse(sk_c4),sk_c7) | -equal(sk_c6,sk_c1) | $spltprd0($spltcnst17).
% 108107 [para:108086.1.2,107215.1.1.1,demod:107213] $spltprd0($spltcnst18) | equal(multiply(sk_c4,X),multiply(inverse(sk_c7),X)).
% 108136 [para:107947.2.2,108027.2.2,cut:96371] equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst18).
% 108138 [para:108136.1.1,107214.1.1.1] equal(multiply(sk_c7,sk_c3),identity) | $spltprd0($spltcnst18).
% 108144 [para:108138.1.1,107395.1.2.2] equal(sk_c3,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst18).
% 108150 [para:107236.1.1,107316.3.1,binarycut:107231] equal(inverse(sk_c3),sk_c7) | -equal(sk_c6,sk_c1) | $spltprd0($spltcnst17).
% 108246 [para:108107.2.2,108144.1.2] equal(sk_c3,multiply(sk_c4,identity)) | $spltprd0($spltcnst18).
% 108276 [para:108246.1.2,107215.1.1.1,demod:107213] $spltprd0($spltcnst18) | equal(multiply(sk_c3,X),multiply(sk_c4,X)).
% 108380 [para:108276.2.2,107238.2.1,binarycut:108078] -equal(multiply(sk_c3,sk_c6),sk_c7) | $spltprd0($spltcnst18).
% 108383 [para:107225.2.1,108380.1.1,cut:107212] equal(multiply(sk_c2,sk_c6),sk_c7) | $spltprd0($spltcnst18).
% 108395 [para:108383.1.1,107930.1.1] equal(sk_c7,identity) | $spltprd0($spltcnst18).
% 108406 [para:108395.1.1,107328.1.2,cut:79182] -equal(sk_c6,sk_c7) | $spltprd0($spltcnst18).
% 108425 [para:108395.1.1,108406.1.2,cut:96371] $spltprd0($spltcnst18).
% 108426 [binary:107241,108425,cut:107829] -$spltprd0($spltcnst17) | -$spltprd0($spltcnst19).
% 108433 [para:107221.2.1,107346.1.1] equal(inverse(sk_c2),sk_c6) | -equal(sk_c7,sk_c6) | $spltprd0($spltcnst19).
% 108439 [para:107218.2.1,107352.2.1,cut:107212] equal(multiply(sk_c4,sk_c7),sk_c5) | $spltprd0($spltcnst19).
% 108442 [para:108439.1.1,107438.2.2.2] equal(sk_c7,multiply(sk_c7,sk_c5)) | $spltprd0($spltcnst19).
% 108482 [para:107219.2.1,107353.2.1,cut:107212] equal(multiply(sk_c7,sk_c5),sk_c6) | $spltprd0($spltcnst19).
% 108501 [para:108482.1.1,108442.1.2] equal(sk_c7,sk_c6) | $spltprd0($spltcnst19).
% 108542 [para:108501.1.1,108433.2.1,cut:107212] equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst19).
% 108548 [para:107225.1.1,107239.2.1,cut:107212,binarycut:108542] equal(multiply(sk_c3,sk_c6),sk_c7) | $spltprd0($spltcnst19).
% 108549 [para:108548.1.1,107239.2.1,cut:107212] -equal(inverse(sk_c3),sk_c6) | $spltprd0($spltcnst19).
% 108568 [para:107350.1.1,108549.1.1,binarycut:108501] $spltprd0($spltcnst19).
% 108571 [para:107217.2.1,107451.1.2.1] equal(sk_c7,multiply(sk_c7,sk_c5)) | equal(inverse(sk_c2),sk_c6).
% 108576 [para:108571.1.2,107219.1.1] equal(inverse(sk_c2),sk_c6) | equal(sk_c7,sk_c6).
% 108581 [para:108576.1.1,107214.1.1.1] equal(multiply(sk_c6,sk_c2),identity) | equal(sk_c7,sk_c6).
% 108589 [para:108576.1.1,107395.1.2.1] equal(sk_c7,sk_c6) | equal(X,multiply(sk_c6,multiply(sk_c2,X))).
% 109285 [para:107222.1.1,107408.2.2.2] equal(sk_c6,multiply(sk_c6,sk_c7)) | equal(inverse(sk_c4),sk_c7).
% 109353 [para:107226.1.1,107410.2.2.2] equal(sk_c6,multiply(sk_c6,sk_c7)) | equal(inverse(sk_c3),sk_c7).
% 109493 [para:109285.1.2,107395.1.2.2,demod:107214] equal(inverse(sk_c4),sk_c7) | equal(sk_c7,identity).
% 109501 [para:109493.2.1,107251.1.1.1,demod:107213] equal(inverse(sk_c4),sk_c7) | equal(sk_c1,identity).
% 109513 [para:109501.2.1,107227.1.1.1] equal(inverse(identity),sk_c7) | equal(inverse(sk_c4),sk_c7).
% 109514 [para:109501.2.1,107232.1.1.1,demod:107213] equal(inverse(sk_c4),sk_c7) | equal(sk_c7,sk_c6).
% 109519 [para:109501.2.1,108101.2.2] equal(inverse(sk_c4),sk_c7) | -equal(sk_c6,identity) | $spltprd0($spltcnst17).
% 109547 [para:109493.2.1,109514.2.1] equal(inverse(sk_c4),sk_c7) | equal(sk_c6,identity).
% 109862 [para:109353.1.2,107395.1.2.2,demod:107214] equal(inverse(sk_c3),sk_c7) | equal(sk_c7,identity).
% 109871 [para:109862.2.1,107254.1.1.1,demod:107213] equal(inverse(sk_c3),sk_c7) | equal(sk_c1,identity).
% 109890 [para:109871.2.1,107236.1.1.1,demod:107213] equal(inverse(sk_c3),sk_c7) | equal(sk_c7,sk_c6).
% 109934 [para:109862.2.1,109890.2.1] equal(inverse(sk_c3),sk_c7) | equal(sk_c6,identity).
% 109937 [para:109934.1.1,107214.1.1.1] equal(multiply(sk_c7,sk_c3),identity) | equal(sk_c6,identity).
% 110240 [para:109547.2.1,109519.2.1,cut:107212] equal(inverse(sk_c4),sk_c7) | $spltprd0($spltcnst17).
% 110267 [binary:108426,110240.2,cut:108568] equal(inverse(sk_c4),sk_c7).
% 110268 [para:110267.1.1,107214.1.1.1] equal(multiply(sk_c7,sk_c4),identity).
% 110271 [para:110268.1.1,107395.1.2.2] equal(sk_c4,multiply(inverse(sk_c7),identity)).
% 110291 [para:110271.1.2,107215.1.1.1,demod:107213] equal(multiply(sk_c4,X),multiply(inverse(sk_c7),X)).
% 110341 [para:110291.1.2,107214.1.1] equal(multiply(sk_c4,sk_c7),identity).
% 110342 [para:110291.1.2,107395.1.2] equal(X,multiply(sk_c4,multiply(sk_c7,X))).
% 110355 [para:110291.1.2,110271.1.2] equal(sk_c4,multiply(sk_c4,identity)).
% 110362 [para:110341.1.1,107395.1.2.2,demod:110267] equal(sk_c7,multiply(sk_c7,identity)).
% 110450 [para:107267.1.1,110342.1.2.2,demod:110355] equal(multiply(sk_c2,sk_c6),sk_c7) | equal(sk_c3,sk_c4).
% 110451 [para:107269.1.1,110342.1.2.2,demod:110341,110355] equal(sk_c1,sk_c4) | equal(identity,sk_c5).
% 110452 [para:107271.1.1,110342.1.2.2,demod:110355] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(sk_c1,sk_c4).
% 110454 [para:107274.1.1,110342.1.2.2,demod:110355] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(sk_c1,sk_c4).
% 110456 [para:107285.1.1,110342.1.2.2,demod:110355] equal(multiply(sk_c6,sk_c2),identity) | equal(sk_c3,sk_c4).
% 110489 [para:109937.1.1,110342.1.2.2,demod:110355] equal(sk_c3,sk_c4) | equal(sk_c6,identity).
% 110499 [para:110451.1.1,107233.1.1.1,demod:110341] equal(identity,sk_c6) | equal(identity,sk_c5).
% 110797 [para:110499.1.2,107258.1.1.1,demod:110341,107213] equal(sk_c2,identity) | equal(identity,sk_c5).
% 110852 [para:107426.1.1,110797.2.2.2.1,demod:110341,107213] equal(identity,sk_c5) | equal(X,multiply(sk_c6,X)).
% 111313 [para:107426.2.2,110852.2.2,demod:110341] equal(identity,sk_c5) | equal(multiply(sk_c2,X),X).
% 111364 [para:107223.1.1,111313.2.1,demod:110341] equal(sk_c7,sk_c6) | equal(identity,sk_c5).
% 111376 [para:107224.2.2,111364.2.1.2,demod:110362] equal(multiply(sk_c2,sk_c6),sk_c7) | equal(sk_c7,sk_c6).
% 111377 [para:107234.2.2,111364.2.1.2,demod:110362] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(sk_c7,sk_c6).
% 111564 [para:110489.2.1,110450.1.1.2] equal(multiply(sk_c2,identity),sk_c7) | equal(sk_c3,sk_c4).
% 111575 [para:110451.2.2,110452.1.1.2,demod:110362] equal(sk_c7,sk_c6) | equal(sk_c1,sk_c4).
% 112534 [para:111575.2.1,111377.1.1.1,demod:110341] equal(identity,sk_c6) | equal(sk_c7,sk_c6).
% 112558 [para:112534.1.2,108581.1.1.1,demod:107213] equal(sk_c2,identity) | equal(sk_c7,sk_c6).
% 112610 [para:108589.1.1,112558.2.2.2.1,demod:107213] equal(sk_c7,sk_c6) | equal(X,multiply(sk_c6,X)).
% 112839 [para:108589.2.2,112610.2.2] equal(sk_c7,sk_c6) | equal(multiply(sk_c2,X),X).
% 112930 [para:111376.1.1,112839.2.1] equal(sk_c7,sk_c6).
% 112955 [para:112930.1.1,110268.1.1.1] equal(multiply(sk_c6,sk_c4),identity).
% 112956 [para:112930.1.1,110271.1.2.1.1] equal(sk_c4,multiply(inverse(sk_c6),identity)).
% 112959 [para:112930.1.1,110341.1.1.2] equal(multiply(sk_c4,sk_c6),identity).
% 112960 [para:112930.1.1,110362.1.2.1] equal(sk_c7,multiply(sk_c6,identity)).
% 112961 [para:112930.1.1,110342.1.2.2.1] equal(X,multiply(sk_c4,multiply(sk_c6,X))).
% 112990 [para:112959.1.1,107395.1.2.2,demod:110362,110267] equal(sk_c6,sk_c7).
% 113013 [para:112960.1.2,107215.1.1.1,demod:107213] equal(multiply(sk_c7,X),multiply(sk_c6,X)).
% 113755 [para:110456.1.1,112961.1.2.2,demod:110355] equal(sk_c2,sk_c4) | equal(sk_c3,sk_c4).
% 114932 [para:113755.1.1,111564.1.1.1,demod:110355] equal(sk_c4,sk_c7) | equal(sk_c3,sk_c4).
% 114975 [para:114932.2.2,110267.1.1.1] equal(inverse(sk_c3),sk_c7) | equal(sk_c4,sk_c7).
% 115098 [para:114975.2.2,107482.1.2.1.1,demod:110362,110267] equal(inverse(sk_c3),sk_c7) | equal(sk_c1,sk_c7).
% 115159 [para:115098.2.1,108150.2.2,cut:112990] equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst17).
% 115165 [binary:108426,115159.2,cut:108568] equal(inverse(sk_c3),sk_c7).
% 115167 [para:115165.1.1,107214.1.1.1,demod:113013] equal(multiply(sk_c6,sk_c3),identity).
% 115170 [para:115167.1.1,107395.1.2.2,demod:112956] equal(sk_c3,sk_c4).
% 115191 [para:115170.1.2,112959.1.1.1] equal(multiply(sk_c3,sk_c6),identity).
% 115224 [para:115191.1.1,110454.1.1] equal(identity,sk_c7) | equal(sk_c1,sk_c4).
% 115259 [para:115224.2.1,107235.1.1.1,demod:115191,110341] equal(identity,sk_c6) | equal(identity,sk_c7).
% 115505 [para:115259.2.2,112930.1.1] equal(identity,sk_c6).
% 115551 [para:115505.1.2,112955.1.1.1,demod:107213] equal(sk_c4,identity).
% 115552 [para:115505.1.2,112960.1.2.1,demod:107213] equal(sk_c7,identity).
% 115573 [para:109513.1.1,115551.2.1.1] equal(inverse(identity),sk_c7).
% 115594 [para:115552.1.1,107237.2.1.1,demod:107213] $spltprd0($spltcnst17) | -equal(multiply(X,sk_c7),Y) | -equal(inverse(X),sk_c7) | -equal(Y,sk_c6).
% 117661 [binary:107213,115594.2,demod:115573,cut:107212,cut:112930] $spltprd0($spltcnst17).
% 117662 [binary:108426,117661,cut:108568] 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 lex ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 17
% clause depth limited to 3
% seconds given: 15
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 9138
% derived clauses: 1444500
% kept clauses: 41402
% kept size sum: 625346
% kept mid-nuclei: 62623
% kept new demods: 684
% forw unit-subs: 644919
% forw double-subs: 576908
% forw overdouble-subs: 48106
% backward subs: 6106
% fast unit cutoff: 5174
% full unit cutoff: 0
% dbl unit cutoff: 4283
% real runtime : 61.95
% process. runtime: 61.92
% specific non-discr-tree subsumption statistics:
% tried: 902313
% length fails: 74727
% strength fails: 108842
% predlist fails: 15802
% aux str. fails: 153801
% by-lit fails: 25499
% full subs tried: 360727
% full subs fail: 322982
%
% ; 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/GRP215-1+eq_r.in")
%
%------------------------------------------------------------------------------