TSTP Solution File: GRP225-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP225-1 : 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 : art08.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/GRP225-1+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 23)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 23)
% (binary-posweight-lex-big-order 30 #f 3 23)
% (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(inverse(X),sk_c9) | -equal(multiply(X,sk_c8),sk_c9) | -equal(multiply(sk_c9,Y),sk_c8) | -equal(multiply(Z,sk_c9),Y) | -equal(inverse(Z),sk_c9) | -equal(inverse(U),sk_c9) | -equal(multiply(U,sk_c8),sk_c9) | -equal(multiply(V,sk_c8),sk_c9) | -equal(inverse(V),sk_c8) | -equal(multiply(W,X1),sk_c8) | -equal(inverse(W),X1) | -equal(multiply(X1,sk_c9),sk_c8).
% was split for some strategies as:
% -equal(multiply(W,X1),sk_c8) | -equal(inverse(W),X1) | -equal(multiply(X1,sk_c9),sk_c8).
% -equal(multiply(V,sk_c8),sk_c9) | -equal(inverse(V),sk_c8).
% -equal(inverse(U),sk_c9) | -equal(multiply(U,sk_c8),sk_c9).
% -equal(multiply(sk_c9,Y),sk_c8) | -equal(multiply(Z,sk_c9),Y) | -equal(inverse(Z),sk_c9).
% -equal(inverse(X),sk_c9) | -equal(multiply(X,sk_c8),sk_c9).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(40,40,0,86,0,0,244298,4,1348,249526,5,1502,249526,1,1502,249526,50,1502,249526,40,1502,249572,0,1502,261404,3,1803,262095,4,1953,263104,5,2103,263105,1,2103,263105,50,2103,263105,40,2103,263151,0,2103,264272,3,2404,264287,4,2578,264379,5,2704,264379,1,2704,264379,50,2704,264379,40,2704,264425,0,2704,291063,3,4206,291621,4,4955)
%
%
% START OF PROOF
% 263528 [?] ?
% 264380 [] equal(X,X).
% 264381 [] equal(multiply(identity,X),X).
% 264382 [] equal(multiply(inverse(X),X),identity).
% 264383 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 264386 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c6),sk_c7).
% 264387 [] equal(multiply(sk_c6,sk_c7),sk_c8) | equal(inverse(sk_c2),sk_c9).
% 264388 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c5),sk_c8).
% 264389 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 264391 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c4),sk_c9).
% 264393 [] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(inverse(sk_c6),sk_c7).
% 264394 [] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(multiply(sk_c6,sk_c7),sk_c8).
% 264395 [] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(inverse(sk_c5),sk_c8).
% 264396 [] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 264398 [] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(inverse(sk_c4),sk_c9).
% 264400 [] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(inverse(sk_c6),sk_c7).
% 264401 [] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(multiply(sk_c6,sk_c7),sk_c8).
% 264402 [] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 264403 [] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 264405 [] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(inverse(sk_c4),sk_c9).
% 264407 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(inverse(sk_c6),sk_c7).
% 264408 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(multiply(sk_c6,sk_c7),sk_c8).
% 264409 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(inverse(sk_c5),sk_c8).
% 264410 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 264411 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(multiply(sk_c4,sk_c8),sk_c9).
% 264412 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(inverse(sk_c4),sk_c9).
% 264414 [] equal(inverse(sk_c1),sk_c9) | equal(inverse(sk_c6),sk_c7).
% 264415 [] equal(multiply(sk_c6,sk_c7),sk_c8) | equal(inverse(sk_c1),sk_c9).
% 264416 [] equal(inverse(sk_c1),sk_c9) | equal(inverse(sk_c5),sk_c8).
% 264417 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c1),sk_c9).
% 264418 [] equal(multiply(sk_c4,sk_c8),sk_c9) | equal(inverse(sk_c1),sk_c9).
% 264419 [] equal(inverse(sk_c1),sk_c9) | equal(inverse(sk_c4),sk_c9).
% 264420 [] $spltprd0($spltcnst16) | -equal(multiply(X,sk_c9),sk_c8) | -equal(multiply(Y,X),sk_c8) | -equal(inverse(Y),X).
% 264421 [] $spltprd0($spltcnst17) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c8).
% 264422 [] $spltprd0($spltcnst18) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c9).
% 264423 [] $spltprd0($spltcnst19) | -equal(multiply(sk_c9,X),sk_c8) | -equal(multiply(Y,sk_c9),X) | -equal(inverse(Y),sk_c9).
% 264424 [] $spltprd0($spltcnst20) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c9).
% 264425 [] -$spltprd0($spltcnst17) | -$spltprd0($spltcnst16) | -$spltprd0($spltcnst18) | -$spltprd0($spltcnst20) | -$spltprd0($spltcnst19).
% 264431 [input:264420,factor] -equal(multiply(sk_c9,sk_c9),sk_c8) | -equal(inverse(sk_c9),sk_c9) | $spltprd0($spltcnst16).
% 264441 [para:264388.2.1,264382.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | equal(inverse(sk_c2),sk_c9).
% 264449 [para:264414.1.1,264382.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | equal(inverse(sk_c6),sk_c7).
% 264450 [para:264414.2.1,264382.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | equal(inverse(sk_c1),sk_c9).
% 264453 [para:264416.2.1,264382.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | equal(inverse(sk_c1),sk_c9).
% 264562 [para:264381.1.1,264421.2.1] -equal(inverse(identity),sk_c8) | -equal(sk_c8,sk_c9) | $spltprd0($spltcnst17).
% 264564 [para:264389.1.1,264421.2.1,cut:264380] -equal(inverse(sk_c5),sk_c8) | equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst17).
% 264567 [para:264409.1.1,264421.2.1,cut:264380] -equal(inverse(sk_c1),sk_c8) | equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst17).
% 264569 [para:264417.1.1,264421.2.1,cut:264380] -equal(inverse(sk_c5),sk_c8) | equal(inverse(sk_c1),sk_c9) | $spltprd0($spltcnst17).
% 264571 [para:264396.2.1,264421.2.1,cut:264380] equal(multiply(sk_c2,sk_c9),sk_c3) | -equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst17).
% 264573 [para:264403.2.1,264421.2.1,cut:264380] equal(multiply(sk_c9,sk_c3),sk_c8) | -equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst17).
% 264586 [para:264388.2.1,264564.1.1,cut:264380] equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst17).
% 264588 [para:264586.1.1,264382.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | $spltprd0($spltcnst17).
% 264602 [para:264412.1.1,264422.2.1,cut:264380,binarycut:264419] equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst18).
% 264605 [para:264418.1.1,264422.2.1,cut:264380,binarycut:264602] equal(inverse(sk_c1),sk_c9) | $spltprd0($spltcnst18).
% 264620 [para:264411.1.1,264422.2.1,cut:264380,binarycut:264605] equal(multiply(sk_c4,sk_c8),sk_c9) | $spltprd0($spltcnst18).
% 264637 [para:264400.1.1,264423.2.1,cut:264380] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c9),sk_c3) | -equal(inverse(X),sk_c9).
% 264638 [para:264402.1.1,264423.2.1,cut:264380] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c9),sk_c3) | -equal(inverse(X),sk_c9).
% 264639 [para:264405.1.1,264423.2.1,cut:264380] equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c9),sk_c3) | -equal(inverse(X),sk_c9).
% 264647 [para:264401.1.1,264423.2.1,cut:264380] equal(multiply(sk_c6,sk_c7),sk_c8) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c9),sk_c3) | -equal(inverse(X),sk_c9).
% 264650 [para:264403.1.1,264423.2.1,cut:264380] equal(multiply(sk_c5,sk_c8),sk_c9) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c9),sk_c3) | -equal(inverse(X),sk_c9).
% 264677 [para:264412.1.1,264424.2.1,cut:264380,binarycut:264419] equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst20).
% 264680 [para:264418.1.1,264424.2.1,cut:264380,binarycut:264677] equal(inverse(sk_c1),sk_c9) | $spltprd0($spltcnst20).
% 264695 [para:264411.1.1,264424.2.1,cut:264380,binarycut:264680] equal(multiply(sk_c4,sk_c8),sk_c9) | $spltprd0($spltcnst20).
% 264704 [para:264382.1.1,264383.1.1.1,demod:264381] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 264740 [para:264449.1.1,264383.1.1.1,demod:264381] equal(inverse(sk_c6),sk_c7) | equal(X,multiply(sk_c9,multiply(sk_c1,X))).
% 264741 [para:264450.1.1,264383.1.1.1,demod:264381] equal(inverse(sk_c1),sk_c9) | equal(X,multiply(sk_c7,multiply(sk_c6,X))).
% 264747 [para:264453.1.1,264383.1.1.1,demod:264381] equal(inverse(sk_c1),sk_c9) | equal(X,multiply(sk_c8,multiply(sk_c5,X))).
% 264777 [para:264588.1.1,264383.1.1.1,demod:264381] $spltprd0($spltcnst17) | equal(X,multiply(sk_c9,multiply(sk_c2,X))).
% 264797 [para:264620.1.1,264422.2.1,cut:264380,binarycut:264602] $spltprd0($spltcnst18).
% 264824 [para:264695.1.1,264424.2.1,cut:264380,binarycut:264677] $spltprd0($spltcnst20).
% 264829 [para:264387.1.1,264704.1.2.2] equal(sk_c7,multiply(inverse(sk_c6),sk_c8)) | equal(inverse(sk_c2),sk_c9).
% 264861 [para:264396.2.1,264704.1.2.2] equal(sk_c8,multiply(inverse(sk_c5),sk_c9)) | equal(multiply(sk_c2,sk_c9),sk_c3).
% 264916 [para:264588.1.1,264704.1.2.2] equal(sk_c2,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst17).
% 264922 [para:264916.1.2,264383.1.1.1,demod:264381] $spltprd0($spltcnst17) | equal(multiply(sk_c2,X),multiply(inverse(sk_c9),X)).
% 264937 [para:264922.2.2,264382.1.1] equal(multiply(sk_c2,sk_c9),identity) | $spltprd0($spltcnst17).
% 264961 [binary:264425,264937.2,cut:264797,cut:264824] equal(multiply(sk_c2,sk_c9),identity) | -$spltprd0($spltcnst16) | -$spltprd0($spltcnst19).
% 264967 [para:264937.1.1,264704.1.2.2] equal(sk_c9,multiply(inverse(sk_c2),identity)) | $spltprd0($spltcnst17).
% 264968 [para:264937.1.1,264777.2.2.2] equal(sk_c9,multiply(sk_c9,identity)) | $spltprd0($spltcnst17).
% 264975 [binary:264425,264968.2,cut:264797,cut:264824] equal(sk_c9,multiply(sk_c9,identity)) | -$spltprd0($spltcnst16) | -$spltprd0($spltcnst19).
% 264982 [para:264967.1.2,264383.1.1.1,demod:264381] $spltprd0($spltcnst17) | equal(multiply(sk_c9,X),multiply(inverse(sk_c2),X)).
% 265049 [para:264704.1.2,264982.2.2] $spltprd0($spltcnst17) | equal(multiply(sk_c9,multiply(sk_c2,X)),X).
% 265082 [para:264416.1.1,264567.1.1] equal(inverse(sk_c5),sk_c8) | -equal(sk_c9,sk_c8) | $spltprd0($spltcnst17).
% 265089 [para:264416.2.1,264569.1.1,cut:264380] equal(inverse(sk_c1),sk_c9) | $spltprd0($spltcnst17).
% 265091 [para:265089.1.1,264382.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | $spltprd0($spltcnst17).
% 265100 [para:265091.1.1,264704.1.2.2] equal(sk_c1,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst17).
% 265140 [para:265100.1.2,264383.1.1.1,demod:264381] $spltprd0($spltcnst17) | equal(multiply(sk_c1,X),multiply(inverse(sk_c9),X)).
% 265195 [para:265140.2.2,264704.1.2] $spltprd0($spltcnst17) | equal(X,multiply(sk_c1,multiply(sk_c9,X))).
% 265351 [para:264386.2.1,264829.1.2.1] equal(sk_c7,multiply(sk_c7,sk_c8)) | equal(inverse(sk_c2),sk_c9).
% 265357 [para:265351.1.2,264704.1.2.2,demod:264382] equal(inverse(sk_c2),sk_c9) | equal(sk_c8,identity).
% 265360 [para:265357.1.1,264382.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(sk_c8,identity).
% 265363 [para:265357.2.1,264389.1.1.2] equal(multiply(sk_c5,identity),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 265365 [para:265357.2.1,264441.1.1.1,demod:264381] equal(inverse(sk_c2),sk_c9) | equal(sk_c5,identity).
% 265377 [para:265357.1.1,264704.1.2.1] equal(sk_c8,identity) | equal(X,multiply(sk_c9,multiply(sk_c2,X))).
% 265389 [para:265365.2.1,264389.1.1.1,demod:264381] equal(inverse(sk_c2),sk_c9) | equal(sk_c8,sk_c9).
% 265455 [para:265360.1.1,264704.1.2.2] equal(sk_c2,multiply(inverse(sk_c9),identity)) | equal(sk_c8,identity).
% 265524 [para:265365.2.1,265363.1.1.1,demod:264381] equal(inverse(sk_c2),sk_c9) | equal(identity,sk_c9).
% 265533 [para:265524.2.2,264420.2.1.2,factor:cut:263528] equal(inverse(sk_c2),sk_c9) | -equal(identity,sk_c8) | $spltprd0($spltcnst16).
% 265550 [para:265389.2.2,265524.2.2] equal(inverse(sk_c2),sk_c9) | equal(identity,sk_c8).
% 265558 [para:265550.1.1,264704.1.2.1] equal(identity,sk_c8) | equal(X,multiply(sk_c9,multiply(sk_c2,X))).
% 265786 [para:265357.2.1,265533.2.2,cut:264380] equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst16).
% 265788 [para:265786.1.1,264382.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | $spltprd0($spltcnst16).
% 265789 [para:265786.1.1,264704.1.2.1] $spltprd0($spltcnst16) | equal(X,multiply(sk_c9,multiply(sk_c2,X))).
% 265812 [para:265788.1.1,264704.1.2.2] equal(sk_c2,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst16).
% 265834 [para:265812.1.2,264383.1.1.1,demod:264381] $spltprd0($spltcnst16) | equal(multiply(sk_c2,X),multiply(inverse(sk_c9),X)).
% 266346 [para:265834.2.2,264382.1.1] equal(multiply(sk_c2,sk_c9),identity) | $spltprd0($spltcnst16).
% 266392 [para:264393.1.1,266346.1.1] equal(inverse(sk_c6),sk_c7) | equal(sk_c3,identity) | $spltprd0($spltcnst16).
% 266394 [para:264395.1.1,266346.1.1] equal(inverse(sk_c5),sk_c8) | equal(sk_c3,identity) | $spltprd0($spltcnst16).
% 266396 [para:264398.1.1,266346.1.1] equal(inverse(sk_c4),sk_c9) | equal(sk_c3,identity) | $spltprd0($spltcnst16).
% 266411 [binary:264961.2,266346.2] equal(multiply(sk_c2,sk_c9),identity) | -$spltprd0($spltcnst19).
% 266414 [para:266346.1.1,265789.2.2.2] equal(sk_c9,multiply(sk_c9,identity)) | $spltprd0($spltcnst16).
% 266423 [binary:264975.2,266414.2] equal(sk_c9,multiply(sk_c9,identity)) | -$spltprd0($spltcnst19).
% 267168 [para:264395.2.1,264571.2.1,cut:264380] equal(multiply(sk_c2,sk_c9),sk_c3) | $spltprd0($spltcnst17).
% 267174 [para:267168.1.1,264777.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c3)) | $spltprd0($spltcnst17).
% 267175 [para:267168.1.1,264937.1.1] equal(sk_c3,identity) | $spltprd0($spltcnst17).
% 267177 [para:267168.1.1,265049.2.1.2] equal(multiply(sk_c9,sk_c3),sk_c9) | $spltprd0($spltcnst17).
% 267182 [binary:264425,267175.2,cut:264797,cut:264824] equal(sk_c3,identity) | -$spltprd0($spltcnst16) | -$spltprd0($spltcnst19).
% 267229 [binary:266392.3,267182.2] equal(inverse(sk_c6),sk_c7) | equal(sk_c3,identity) | -$spltprd0($spltcnst19).
% 267231 [binary:266394.3,267182.2] equal(inverse(sk_c5),sk_c8) | equal(sk_c3,identity) | -$spltprd0($spltcnst19).
% 267233 [binary:266396.3,267182.2] equal(inverse(sk_c4),sk_c9) | equal(sk_c3,identity) | -$spltprd0($spltcnst19).
% 267259 [para:264402.2.1,264573.2.1,cut:264380] equal(multiply(sk_c9,sk_c3),sk_c8) | $spltprd0($spltcnst17).
% 267267 [para:267259.1.1,265195.2.2.2] equal(sk_c3,multiply(sk_c1,sk_c8)) | $spltprd0($spltcnst17).
% 267270 [para:267259.1.1,267174.1.2] equal(sk_c9,sk_c8) | $spltprd0($spltcnst17).
% 267271 [para:267259.1.1,267177.1.1] equal(sk_c8,sk_c9) | $spltprd0($spltcnst17).
% 267311 [para:267270.1.1,265082.2.1,cut:264380] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst17).
% 267410 [para:264410.2.1,264421.2.1,cut:264380,binarycut:267311] equal(multiply(sk_c1,sk_c8),sk_c9) | $spltprd0($spltcnst17).
% 267420 [para:267410.1.1,267267.1.2] equal(sk_c3,sk_c9) | $spltprd0($spltcnst17).
% 267465 [para:267420.1.2,267270.1.1] equal(sk_c3,sk_c8) | $spltprd0($spltcnst17).
% 267474 [para:267465.1.1,267175.1.1] equal(sk_c8,identity) | $spltprd0($spltcnst17).
% 267489 [para:267474.1.1,264562.1.2,cut:263528,binarycut:267271] $spltprd0($spltcnst17).
% 267490 [binary:264425,267489,cut:264797,cut:264824] -$spltprd0($spltcnst16) | -$spltprd0($spltcnst19).
% 267508 [para:264393.1.1,264637.3.1,cut:264380,binarycut:264386] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst19).
% 267515 [binary:266423.2,267508.2] equal(sk_c9,multiply(sk_c9,identity)) | equal(inverse(sk_c6),sk_c7).
% 267534 [para:264395.1.1,264638.3.1,cut:264380,binarycut:264388] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst19).
% 267539 [para:264398.1.1,264639.3.1,cut:264380,binarycut:264391] equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst19).
% 267541 [para:267534.1.1,264382.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | $spltprd0($spltcnst19).
% 267542 [para:267534.1.1,264704.1.2.1] $spltprd0($spltcnst19) | equal(X,multiply(sk_c8,multiply(sk_c5,X))).
% 267546 [binary:266423.2,267534.2] equal(sk_c9,multiply(sk_c9,identity)) | equal(inverse(sk_c5),sk_c8).
% 267551 [para:267539.1.1,264382.1.1.1] equal(multiply(sk_c9,sk_c4),identity) | $spltprd0($spltcnst19).
% 267556 [binary:266423.2,267539.2] equal(sk_c9,multiply(sk_c9,identity)) | equal(inverse(sk_c4),sk_c9).
% 268783 [binary:267508.2,267229.3] equal(inverse(sk_c6),sk_c7) | equal(sk_c3,identity).
% 268786 [para:268783.2.1,264400.1.1.2] equal(multiply(sk_c9,identity),sk_c8) | equal(inverse(sk_c6),sk_c7).
% 268808 [binary:267534.2,267231.3] equal(inverse(sk_c5),sk_c8) | equal(sk_c3,identity).
% 268811 [para:268808.2.1,264402.1.1.2] equal(multiply(sk_c9,identity),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 268830 [binary:267539.2,267233.3] equal(inverse(sk_c4),sk_c9) | equal(sk_c3,identity).
% 268833 [para:268830.2.1,264405.1.1.2] equal(multiply(sk_c9,identity),sk_c8) | equal(inverse(sk_c4),sk_c9).
% 269766 [para:268786.1.1,267515.1.2] equal(inverse(sk_c6),sk_c7) | equal(sk_c9,sk_c8).
% 270018 [para:268811.1.1,267546.1.2] equal(inverse(sk_c5),sk_c8) | equal(sk_c9,sk_c8).
% 270022 [para:270018.1.1,264382.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | equal(sk_c9,sk_c8).
% 270104 [para:270018.2.1,267546.1.2.1] equal(sk_c9,multiply(sk_c8,identity)) | equal(inverse(sk_c5),sk_c8).
% 270254 [para:268833.1.1,267556.1.2] equal(inverse(sk_c4),sk_c9) | equal(sk_c9,sk_c8).
% 270259 [para:270254.1.1,264382.1.1.1] equal(multiply(sk_c9,sk_c4),identity) | equal(sk_c9,sk_c8).
% 270341 [para:270254.2.1,267556.1.2.1] equal(sk_c9,multiply(sk_c8,identity)) | equal(inverse(sk_c4),sk_c9).
% 270388 [para:270259.1.1,264704.1.2.2] equal(sk_c4,multiply(inverse(sk_c9),identity)) | equal(sk_c9,sk_c8).
% 272381 [para:264407.1.1,264740.2.2.2] equal(sk_c8,multiply(sk_c9,sk_c9)) | equal(inverse(sk_c6),sk_c7).
% 272428 [para:264415.1.1,264741.2.2.2] equal(sk_c7,multiply(sk_c7,sk_c8)) | equal(inverse(sk_c1),sk_c9).
% 272572 [para:269766.2.1,272381.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c9)) | equal(inverse(sk_c6),sk_c7).
% 272704 [para:272428.1.2,264704.1.2.2,demod:264382] equal(inverse(sk_c1),sk_c9) | equal(sk_c8,identity).
% 272716 [para:272704.1.1,264382.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | equal(sk_c8,identity).
% 272721 [para:272704.2.1,264453.1.1.1,demod:264381] equal(inverse(sk_c1),sk_c9) | equal(sk_c5,identity).
% 272754 [para:264416.2.1,272721.2.1.1] equal(inverse(identity),sk_c8) | equal(inverse(sk_c1),sk_c9).
% 272917 [para:272754.1.1,264704.1.2.1,demod:264381] equal(inverse(sk_c1),sk_c9) | equal(X,multiply(sk_c8,X)).
% 272977 [para:272716.1.1,264704.1.2.2] equal(sk_c1,multiply(inverse(sk_c9),identity)) | equal(sk_c8,identity).
% 273188 [para:264747.2.2,272917.2.2] equal(inverse(sk_c1),sk_c9) | equal(multiply(sk_c5,X),X).
% 273207 [para:264417.1.1,273188.2.1] equal(inverse(sk_c1),sk_c9) | equal(sk_c9,sk_c8).
% 273210 [para:273207.1.1,264382.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | equal(sk_c9,sk_c8).
% 273214 [para:273210.1.1,264704.1.2.2] equal(sk_c1,multiply(inverse(sk_c9),identity)) | equal(sk_c9,sk_c8).
% 273302 [para:272572.1.2,264704.1.2.2,demod:264382] equal(inverse(sk_c6),sk_c7) | equal(sk_c9,identity).
% 273321 [para:273302.2.1,264420.2.1.2,factor:cut:263528] equal(inverse(sk_c6),sk_c7) | -equal(identity,sk_c8) | $spltprd0($spltcnst16).
% 273358 [para:273302.2.1,268786.1.1.1,demod:264381] equal(inverse(sk_c6),sk_c7) | equal(identity,sk_c8).
% 274811 [para:272977.1.2,265455.1.2] equal(sk_c2,sk_c1) | equal(sk_c8,identity).
% 276844 [para:273214.1.2,270388.1.2] equal(sk_c4,sk_c1) | equal(sk_c9,sk_c8).
% 276890 [para:276844.1.2,264411.1.1.1] equal(multiply(sk_c4,sk_c8),sk_c9) | equal(sk_c9,sk_c8).
% 277280 [para:273358.2.2,273321.2.2,cut:264380] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst16).
% 277284 [binary:267490,277280.2] equal(inverse(sk_c6),sk_c7) | -$spltprd0($spltcnst19).
% 277286 [binary:267508.2,277284.2] equal(inverse(sk_c6),sk_c7).
% 277312 [para:277286.1.1,264382.1.1.1] equal(multiply(sk_c7,sk_c6),identity).
% 277314 [para:277312.1.1,264704.1.2.2] equal(sk_c6,multiply(inverse(sk_c7),identity)).
% 277317 [para:277314.1.2,264383.1.1.1,demod:264381] equal(multiply(sk_c6,X),multiply(inverse(sk_c7),X)).
% 277363 [para:277317.1.2,264382.1.1] equal(multiply(sk_c6,sk_c7),identity).
% 277396 [para:264394.1.1,277363.2.1] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(identity,sk_c8).
% 277397 [para:264394.2.1,277363.1.1] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(sk_c8,identity).
% 277399 [para:264401.2.1,277363.1.1] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(sk_c8,identity).
% 277401 [para:264408.2.1,277363.1.1] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(sk_c8,identity).
% 277753 [para:265558.1.1,277396.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c3)) | equal(identity,sk_c8).
% 277760 [para:277396.1.1,264647.3.1,demod:277363,cut:264380,binarycut:265550] equal(identity,sk_c8) | $spltprd0($spltcnst19).
% 277820 [para:277760.1.2,267541.1.1.1,demod:264381] equal(sk_c5,identity) | $spltprd0($spltcnst19).
% 277860 [binary:266423.2,277820.2] equal(sk_c9,multiply(sk_c9,identity)) | equal(sk_c5,identity).
% 277870 [para:277820.1.1,267542.2.2.2.1,demod:264381] $spltprd0($spltcnst19) | equal(X,multiply(sk_c8,X)).
% 277922 [para:277870.2.2,264704.1.2.2] $spltprd0($spltcnst19) | equal(X,multiply(inverse(sk_c8),X)).
% 278016 [para:277922.2.2,264382.1.1] equal(sk_c8,identity) | $spltprd0($spltcnst19).
% 278044 [binary:266411.2,278016.2] equal(multiply(sk_c2,sk_c9),identity) | equal(sk_c8,identity).
% 278093 [para:265377.1.1,277397.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c3)) | equal(sk_c8,identity).
% 278216 [para:274811.1.2,277401.1.1.1] equal(multiply(sk_c2,sk_c8),sk_c9) | equal(sk_c8,identity).
% 278744 [para:277753.1.2,264401.1.1,demod:277363] equal(sk_c9,sk_c8) | equal(identity,sk_c8).
% 278756 [para:277753.1.2,264704.1.2.2,demod:264382] equal(sk_c3,identity) | equal(identity,sk_c8).
% 278802 [para:278744.1.1,264401.1.1.1,demod:277363] equal(multiply(sk_c8,sk_c3),sk_c8) | equal(identity,sk_c8).
% 278891 [para:278744.2.2,270022.1.1.1,demod:264381] equal(sk_c5,identity) | equal(sk_c9,sk_c8).
% 278920 [para:278744.2.2,276890.1.1.2] equal(multiply(sk_c4,identity),sk_c9) | equal(sk_c9,sk_c8).
% 279896 [para:278891.2.1,277860.1.2.1] equal(sk_c9,multiply(sk_c8,identity)) | equal(sk_c5,identity).
% 279981 [para:277397.1.1,278044.1.1] equal(sk_c3,identity) | equal(sk_c8,identity).
% 280207 [para:278093.1.2,277399.1.1] equal(sk_c9,sk_c8) | equal(sk_c8,identity).
% 280325 [para:280207.1.1,277397.1.1.2] equal(multiply(sk_c2,sk_c8),sk_c3) | equal(sk_c8,identity).
% 281980 [para:280325.1.1,278216.1.1] equal(sk_c3,sk_c9) | equal(sk_c8,identity).
% 282248 [para:281980.1.2,280207.1.1] equal(sk_c3,sk_c8) | equal(sk_c8,identity).
% 282493 [para:282248.1.1,279981.1.1] equal(sk_c8,identity).
% 282496 [para:282248.2.1,278802.1.1.1,demod:264381] equal(sk_c3,sk_c8) | equal(identity,sk_c8).
% 282558 [para:282493.1.1,270104.1.2.1,demod:264381] equal(inverse(sk_c5),sk_c8) | equal(sk_c9,identity).
% 282567 [para:282493.1.1,270341.1.2.1,demod:264381] equal(inverse(sk_c4),sk_c9) | equal(sk_c9,identity).
% 282604 [para:282493.1.1,279896.1.2.1,demod:264381] equal(sk_c9,identity) | equal(sk_c5,identity).
% 282714 [para:278756.1.1,282496.1.1] equal(identity,sk_c8).
% 282826 [para:282604.1.1,264420.2.1.2,factor:cut:282714,cut:263528] equal(sk_c5,identity) | $spltprd0($spltcnst16).
% 282878 [binary:267490,282826.2] equal(sk_c5,identity) | -$spltprd0($spltcnst19).
% 282937 [binary:277820.2,282878.2] equal(sk_c5,identity).
% 283281 [para:282558.2.1,264420.2.1.2,factor:cut:282714,cut:263528] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst16).
% 283305 [binary:267490,283281.2] equal(inverse(sk_c5),sk_c8) | -$spltprd0($spltcnst19).
% 283350 [binary:267534.2,283305.2] equal(inverse(sk_c5),sk_c8).
% 283352 [para:283350.1.1,264704.1.2.1] equal(X,multiply(sk_c8,multiply(sk_c5,X))).
% 283353 [para:282937.1.1,283350.1.1.1] equal(inverse(identity),sk_c8).
% 283354 [para:283353.1.1,264382.1.1.1] equal(multiply(sk_c8,identity),identity).
% 283355 [para:283353.1.1,264704.1.2.1,demod:264381] equal(X,multiply(sk_c8,X)).
% 283358 [para:283355.1.2,264704.1.2.2] equal(X,multiply(inverse(sk_c8),X)).
% 283728 [para:283352.1.2,264704.1.2.2,demod:283358] equal(multiply(sk_c5,X),X).
% 283806 [para:282567.2.1,264420.2.1.2,factor:cut:282714,cut:282493] equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst16).
% 283830 [binary:267490,283806.2] equal(inverse(sk_c4),sk_c9) | -$spltprd0($spltcnst19).
% 283832 [binary:267539.2,283830.2] equal(inverse(sk_c4),sk_c9).
% 283841 [para:283832.1.1,264382.1.1.1] equal(multiply(sk_c9,sk_c4),identity).
% 283844 [para:283841.1.1,264704.1.2.2] equal(sk_c4,multiply(inverse(sk_c9),identity)).
% 283874 [para:283844.1.2,264383.1.1.1,demod:264381] equal(multiply(sk_c4,X),multiply(inverse(sk_c9),X)).
% 283924 [para:264861.2.1,264650.3.1,demod:283728,283355,283350,cut:264380,binarycut:265389] equal(sk_c8,sk_c9) | $spltprd0($spltcnst19).
% 283992 [para:283924.1.2,267551.1.1.1,demod:283355] equal(sk_c4,identity) | $spltprd0($spltcnst19).
% 284052 [para:283992.1.1,267551.1.1.2] equal(multiply(sk_c9,identity),identity) | $spltprd0($spltcnst19).
% 285061 [para:284052.1.1,264423.2.1,cut:282714] $spltprd0($spltcnst19) | -equal(multiply(X,sk_c9),identity) | -equal(inverse(X),sk_c9).
% 285646 [para:283874.1.2,264382.1.1] equal(multiply(sk_c4,sk_c9),identity).
% 285695 [para:283874.1.2,283844.1.2] equal(sk_c4,multiply(sk_c4,identity)).
% 285724 [para:285646.1.1,264704.1.2.2,demod:283832] equal(sk_c9,multiply(sk_c9,identity)).
% 285768 [para:278920.2.1,285724.1.2.1,demod:285695,283354] equal(sk_c9,identity) | equal(sk_c4,sk_c9).
% 286446 [para:285768.1.1,264420.2.1.2,factor:cut:282714,cut:282493] equal(sk_c4,sk_c9) | $spltprd0($spltcnst16).
% 286569 [para:286446.1.2,264431.1.1.1,demod:285646,cut:282714] -equal(inverse(sk_c9),sk_c9) | $spltprd0($spltcnst16).
% 286797 [para:286446.1.2,286569.1.1.1,demod:283832,cut:264380] $spltprd0($spltcnst16).
% 286798 [binary:267490,286797] -$spltprd0($spltcnst19).
% 291645 [binary:285646,285061.2,demod:283832,cut:286798,cut:264380] 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 23
% clause depth limited to 3
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 5607
% derived clauses: 989566
% kept clauses: 40350
% kept size sum: 866054
% kept mid-nuclei: 243627
% kept new demods: 204
% forw unit-subs: 248762
% forw double-subs: 363038
% forw overdouble-subs: 83631
% backward subs: 2087
% fast unit cutoff: 5550
% full unit cutoff: 0
% dbl unit cutoff: 1131
% real runtime : 50.95
% process. runtime: 50.40
% specific non-discr-tree subsumption statistics:
% tried: 2080432
% length fails: 108797
% strength fails: 767009
% predlist fails: 301615
% aux str. fails: 248556
% by-lit fails: 204138
% full subs tried: 325458
% full subs fail: 255664
%
% ; 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/GRP225-1+eq_r.in")
%
%------------------------------------------------------------------------------