TSTP Solution File: GRP252-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP252-1 : 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 50.0s
% Output : Assurance 50.0s
% 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/GRP252-1+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_c9) | -equal(multiply(Z,sk_c8),sk_c9) | -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_c9) | -equal(multiply(Z,sk_c8),sk_c9).
% -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(47,40,1,101,0,1,195601,5,1502,195602,1,1502,195602,50,1502,195602,40,1502,195656,0,1502,207714,3,1803,208376,4,1953,209230,5,2103,209231,1,2103,209231,50,2103,209231,40,2103,209285,0,2103,209684,3,2417,209693,4,2561,209720,5,2704,209720,1,2704,209720,50,2704,209720,40,2704,209774,0,2704,233321,3,4205,234163,4,4955)
%
%
% START OF PROOF
% 209458 [?] ?
% 209721 [] equal(X,X).
% 209722 [] equal(multiply(identity,X),X).
% 209723 [] equal(multiply(inverse(X),X),identity).
% 209724 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 209726 [] equal(multiply(sk_c3,sk_c8),sk_c9) | equal(inverse(sk_c6),sk_c8).
% 209727 [] equal(multiply(sk_c3,sk_c8),sk_c9) | equal(multiply(sk_c6,sk_c8),sk_c7).
% 209728 [] equal(multiply(sk_c3,sk_c8),sk_c9) | equal(multiply(sk_c8,sk_c7),sk_c9).
% 209729 [] equal(multiply(sk_c3,sk_c8),sk_c9) | equal(inverse(sk_c5),sk_c8).
% 209730 [] equal(multiply(sk_c3,sk_c8),sk_c9) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 209733 [] equal(inverse(sk_c3),sk_c9) | equal(inverse(sk_c6),sk_c8).
% 209734 [] equal(multiply(sk_c6,sk_c8),sk_c7) | equal(inverse(sk_c3),sk_c9).
% 209735 [] equal(multiply(sk_c8,sk_c7),sk_c9) | equal(inverse(sk_c3),sk_c9).
% 209736 [] equal(inverse(sk_c3),sk_c9) | equal(inverse(sk_c5),sk_c8).
% 209737 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c3),sk_c9).
% 209740 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c6),sk_c8).
% 209741 [] equal(multiply(sk_c6,sk_c8),sk_c7) | equal(inverse(sk_c2),sk_c9).
% 209742 [] equal(multiply(sk_c8,sk_c7),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 209743 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c5),sk_c8).
% 209744 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 209745 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c4),sk_c10).
% 209747 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(inverse(sk_c6),sk_c8).
% 209748 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c6,sk_c8),sk_c7).
% 209749 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c8,sk_c7),sk_c9).
% 209750 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 209751 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 209752 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(inverse(sk_c4),sk_c10).
% 209753 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c4,sk_c10),sk_c9).
% 209754 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c6),sk_c8).
% 209757 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c5),sk_c8).
% 209758 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c1),sk_c10).
% 209759 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c4),sk_c10).
% 209760 [] equal(multiply(sk_c4,sk_c10),sk_c9) | equal(inverse(sk_c1),sk_c10).
% 209761 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(inverse(sk_c6),sk_c8).
% 209764 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(inverse(sk_c5),sk_c8).
% 209765 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 209766 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(inverse(sk_c4),sk_c10).
% 209767 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(multiply(sk_c4,sk_c10),sk_c9).
% 209768 [] $spltprd0($spltcnst19) | -equal(multiply(sk_c8,X),sk_c9) | -equal(multiply(Y,sk_c8),X) | -equal(inverse(Y),sk_c8).
% 209769 [] $spltprd0($spltcnst20) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c8).
% 209770 [] $spltprd0($spltcnst21) | -equal(multiply(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10).
% 209771 [] $spltprd0($spltcnst22) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c9).
% 209772 [] $spltprd0($spltcnst23) | -equal(multiply(X,sk_c9),sk_c8) | -equal(inverse(X),sk_c9).
% 209773 [] $spltprd0($spltcnst24) | -equal(multiply(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10).
% 209774 [] -$spltprd0($spltcnst20) | -$spltprd0($spltcnst19) | -$spltprd0($spltcnst21) | -$spltprd0($spltcnst23) | -$spltprd0($spltcnst22) | -$spltprd0($spltcnst24).
% 209785 [para:209733.2.1,209723.1.1.1] equal(multiply(sk_c8,sk_c6),identity) | equal(inverse(sk_c3),sk_c9).
% 209794 [para:209740.1.1,209723.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(inverse(sk_c6),sk_c8).
% 209795 [para:209740.2.1,209723.1.1.1] equal(multiply(sk_c8,sk_c6),identity) | equal(inverse(sk_c2),sk_c9).
% 209798 [para:209743.2.1,209723.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | equal(inverse(sk_c2),sk_c9).
% 209803 [para:209754.1.1,209723.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(inverse(sk_c6),sk_c8).
% 209809 [para:209757.2.1,209723.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | equal(inverse(sk_c1),sk_c10).
% 209811 [para:209759.1.1,209723.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(inverse(sk_c4),sk_c10).
% 209839 [para:209747.2.1,209723.1.1.1] equal(multiply(sk_c8,sk_c6),identity) | equal(multiply(sk_c2,sk_c9),sk_c8).
% 209909 [para:209728.2.1,209768.2.1,cut:209721] equal(multiply(sk_c3,sk_c8),sk_c9) | $spltprd0($spltcnst19) | -equal(multiply(X,sk_c8),sk_c7) | -equal(inverse(X),sk_c8).
% 209938 [para:209737.1.1,209769.2.1,cut:209721] -equal(inverse(sk_c5),sk_c8) | equal(inverse(sk_c3),sk_c9) | $spltprd0($spltcnst20).
% 209941 [para:209744.1.1,209769.2.1,cut:209721] -equal(inverse(sk_c5),sk_c8) | equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst20).
% 209943 [para:209730.2.1,209769.2.1,cut:209721] equal(multiply(sk_c3,sk_c8),sk_c9) | -equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst20).
% 209945 [para:209758.1.1,209769.2.1,cut:209721] -equal(inverse(sk_c5),sk_c8) | equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst20).
% 209948 [para:209751.2.1,209769.2.1,cut:209721] equal(multiply(sk_c2,sk_c9),sk_c8) | -equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst20).
% 209950 [para:209765.2.1,209769.2.1,cut:209721] equal(multiply(sk_c1,sk_c10),sk_c9) | -equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst20).
% 209975 [para:209766.1.1,209770.2.1,cut:209721,binarycut:209759] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst21).
% 209983 [para:209767.2.1,209770.2.1,cut:209721,binarycut:209975] equal(multiply(sk_c1,sk_c10),sk_c9) | $spltprd0($spltcnst21).
% 209987 [para:209722.1.1,209771.2.1] -equal(inverse(identity),sk_c9) | -equal(sk_c8,sk_c9) | $spltprd0($spltcnst22).
% 209990 [para:209726.1.1,209771.2.1,cut:209721,binarycut:209733] equal(inverse(sk_c6),sk_c8) | $spltprd0($spltcnst22).
% 209992 [para:209729.1.1,209771.2.1,cut:209721,binarycut:209736] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst22).
% 209996 [para:209727.1.1,209771.2.1,cut:209721] equal(multiply(sk_c6,sk_c8),sk_c7) | -equal(inverse(sk_c3),sk_c9) | $spltprd0($spltcnst22).
% 210000 [para:209728.1.1,209771.2.1,cut:209721] equal(multiply(sk_c8,sk_c7),sk_c9) | -equal(inverse(sk_c3),sk_c9) | $spltprd0($spltcnst22).
% 210021 [para:209990.1.1,209723.1.1.1] equal(multiply(sk_c8,sk_c6),identity) | $spltprd0($spltcnst22).
% 210023 [para:209722.1.1,209772.2.1] -equal(inverse(identity),sk_c9) | -equal(sk_c9,sk_c8) | $spltprd0($spltcnst23).
% 210026 [para:209747.1.1,209772.2.1,cut:209721,binarycut:209740] equal(inverse(sk_c6),sk_c8) | $spltprd0($spltcnst23).
% 210030 [para:209752.1.1,209772.2.1,cut:209721,binarycut:209745] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst23).
% 210031 [para:209748.1.1,209772.2.1,cut:209721] equal(multiply(sk_c6,sk_c8),sk_c7) | -equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst23).
% 210032 [para:209749.1.1,209772.2.1,cut:209721] equal(multiply(sk_c8,sk_c7),sk_c9) | -equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst23).
% 210036 [para:209992.1.1,209723.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | $spltprd0($spltcnst22).
% 210040 [para:210026.1.1,209723.1.1.1] equal(multiply(sk_c8,sk_c6),identity) | $spltprd0($spltcnst23).
% 210044 [para:210030.1.1,209723.1.1.1] equal(multiply(sk_c10,sk_c4),identity) | $spltprd0($spltcnst23).
% 210057 [para:209766.1.1,209773.2.1,cut:209721,binarycut:209759] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst24).
% 210065 [para:209767.2.1,209773.2.1,cut:209721,binarycut:210057] equal(multiply(sk_c1,sk_c10),sk_c9) | $spltprd0($spltcnst24).
% 210075 [para:209983.1.1,209770.2.1,cut:209721] -equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst21).
% 210081 [para:209760.2.1,210075.1.1,cut:209721] equal(multiply(sk_c4,sk_c10),sk_c9) | $spltprd0($spltcnst21).
% 210089 [para:209723.1.1,209724.1.1.1,demod:209722] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 210129 [para:209794.1.1,209724.1.1.1,demod:209722] equal(inverse(sk_c6),sk_c8) | equal(X,multiply(sk_c9,multiply(sk_c2,X))).
% 210132 [para:209795.1.1,209724.1.1.1,demod:209722] equal(inverse(sk_c2),sk_c9) | equal(X,multiply(sk_c8,multiply(sk_c6,X))).
% 210134 [para:209798.1.1,209724.1.1.1,demod:209722] equal(inverse(sk_c2),sk_c9) | equal(X,multiply(sk_c8,multiply(sk_c5,X))).
% 210139 [para:209803.1.1,209724.1.1.1,demod:209722] equal(inverse(sk_c6),sk_c8) | equal(X,multiply(sk_c10,multiply(sk_c1,X))).
% 210142 [para:209809.1.1,209724.1.1.1,demod:209722] equal(inverse(sk_c1),sk_c10) | equal(X,multiply(sk_c8,multiply(sk_c5,X))).
% 210143 [para:209811.1.1,209724.1.1.1,demod:209722] equal(inverse(sk_c4),sk_c10) | equal(X,multiply(sk_c10,multiply(sk_c1,X))).
% 210175 [para:210021.1.1,209724.1.1.1,demod:209722] $spltprd0($spltcnst22) | equal(X,multiply(sk_c8,multiply(sk_c6,X))).
% 210194 [para:210065.1.1,209773.2.1,cut:209721] -equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst24).
% 210200 [para:209760.2.1,210194.1.1,cut:209721] equal(multiply(sk_c4,sk_c10),sk_c9) | $spltprd0($spltcnst24).
% 210226 [para:210081.1.1,209770.2.1,cut:209721,binarycut:209975] $spltprd0($spltcnst21).
% 210244 [para:210200.1.1,209773.2.1,cut:209721,binarycut:210057] $spltprd0($spltcnst24).
% 210247 [para:209726.1.1,210089.1.2.2] equal(sk_c8,multiply(inverse(sk_c3),sk_c9)) | equal(inverse(sk_c6),sk_c8).
% 210250 [para:209734.1.1,210089.1.2.2] equal(sk_c8,multiply(inverse(sk_c6),sk_c7)) | equal(inverse(sk_c3),sk_c9).
% 210254 [para:209737.1.1,210089.1.2.2] equal(sk_c8,multiply(inverse(sk_c5),sk_c9)) | equal(inverse(sk_c3),sk_c9).
% 210298 [para:209749.2.1,210089.1.2.2] equal(sk_c7,multiply(inverse(sk_c8),sk_c9)) | equal(multiply(sk_c2,sk_c9),sk_c8).
% 210355 [para:210021.1.1,210089.1.2.2] equal(sk_c6,multiply(inverse(sk_c8),identity)) | $spltprd0($spltcnst22).
% 210356 [para:210036.1.1,210089.1.2.2] equal(sk_c5,multiply(inverse(sk_c8),identity)) | $spltprd0($spltcnst22).
% 210358 [para:210040.1.1,210089.1.2.2] equal(sk_c6,multiply(inverse(sk_c8),identity)) | $spltprd0($spltcnst23).
% 210360 [para:210044.1.1,210089.1.2.2] equal(sk_c4,multiply(inverse(sk_c10),identity)) | $spltprd0($spltcnst23).
% 210372 [para:210355.1.2,209724.1.1.1,demod:209722] $spltprd0($spltcnst22) | equal(multiply(sk_c6,X),multiply(inverse(sk_c8),X)).
% 210375 [para:210356.1.2,210355.1.2] equal(sk_c6,sk_c5) | $spltprd0($spltcnst22).
% 210393 [para:210358.1.2,209724.1.1.1,demod:209722] $spltprd0($spltcnst23) | equal(multiply(sk_c6,X),multiply(inverse(sk_c8),X)).
% 210416 [para:210360.1.2,209724.1.1.1,demod:209722] $spltprd0($spltcnst23) | equal(multiply(sk_c4,X),multiply(inverse(sk_c10),X)).
% 210504 [para:210372.2.2,209723.1.1] equal(multiply(sk_c6,sk_c8),identity) | $spltprd0($spltcnst22).
% 210539 [para:210375.1.1,210504.1.1.1] equal(multiply(sk_c5,sk_c8),identity) | $spltprd0($spltcnst22).
% 210563 [para:210539.1.1,209737.1.1] equal(inverse(sk_c3),sk_c9) | equal(identity,sk_c9) | $spltprd0($spltcnst22).
% 210745 [para:210563.2.2,209987.1.2,cut:209458] equal(inverse(sk_c3),sk_c9) | -equal(sk_c8,sk_c9) | $spltprd0($spltcnst22).
% 210904 [para:210393.2.2,209723.1.1] equal(multiply(sk_c6,sk_c8),identity) | $spltprd0($spltcnst23).
% 210930 [para:210904.1.1,210089.1.2.2] equal(sk_c8,multiply(inverse(sk_c6),identity)) | $spltprd0($spltcnst23).
% 210994 [para:210930.1.2,209724.1.1.1,demod:209722] $spltprd0($spltcnst23) | equal(multiply(sk_c8,X),multiply(inverse(sk_c6),X)).
% 211246 [para:210416.2.2,209723.1.1] equal(multiply(sk_c4,sk_c10),identity) | $spltprd0($spltcnst23).
% 211407 [para:210089.1.2,210994.2.2] $spltprd0($spltcnst23) | equal(multiply(sk_c8,multiply(sk_c6,X)),X).
% 211495 [para:209736.2.1,209938.1.1,cut:209721] equal(inverse(sk_c3),sk_c9) | $spltprd0($spltcnst20).
% 211497 [para:211495.1.1,209723.1.1.1] equal(multiply(sk_c9,sk_c3),identity) | $spltprd0($spltcnst20).
% 211502 [para:211497.1.1,210089.1.2.2] equal(sk_c3,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst20).
% 211531 [para:211502.1.2,209724.1.1.1,demod:209722] $spltprd0($spltcnst20) | equal(multiply(sk_c3,X),multiply(inverse(sk_c9),X)).
% 211545 [para:211531.2.2,209723.1.1] equal(multiply(sk_c3,sk_c9),identity) | $spltprd0($spltcnst20).
% 211548 [para:211531.2.2,210089.1.2] $spltprd0($spltcnst20) | equal(X,multiply(sk_c3,multiply(sk_c9,X))).
% 211555 [para:211531.2.2,211502.1.2] equal(sk_c3,multiply(sk_c3,identity)) | $spltprd0($spltcnst20).
% 211628 [para:209743.2.1,209941.1.1,cut:209721] equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst20).
% 211630 [para:211628.1.1,209723.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | $spltprd0($spltcnst20).
% 211636 [para:211630.1.1,211548.2.2.2] equal(sk_c2,multiply(sk_c3,identity)) | $spltprd0($spltcnst20).
% 211643 [para:211636.1.2,211555.1.2] equal(sk_c3,sk_c2) | $spltprd0($spltcnst20).
% 211667 [para:211643.1.1,211545.1.1.1] equal(multiply(sk_c2,sk_c9),identity) | $spltprd0($spltcnst20).
% 212056 [para:209729.2.1,209943.2.1,cut:209721] equal(multiply(sk_c3,sk_c8),sk_c9) | $spltprd0($spltcnst20).
% 212058 [para:212056.1.1,209769.2.1,cut:209721] -equal(inverse(sk_c3),sk_c8) | $spltprd0($spltcnst20).
% 212071 [para:211495.1.1,212058.1.1] -equal(sk_c9,sk_c8) | $spltprd0($spltcnst20).
% 212108 [para:209757.2.1,209945.1.1,cut:209721] equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst20).
% 212112 [para:212108.1.1,210089.1.2.1] $spltprd0($spltcnst20) | equal(X,multiply(sk_c10,multiply(sk_c1,X))).
% 212170 [para:209750.2.1,209948.2.1,cut:209721] equal(multiply(sk_c2,sk_c9),sk_c8) | $spltprd0($spltcnst20).
% 212175 [para:212170.1.1,211667.1.1] equal(sk_c8,identity) | $spltprd0($spltcnst20).
% 212202 [para:212175.1.1,212071.1.2] -equal(sk_c9,identity) | $spltprd0($spltcnst20).
% 212228 [para:209764.2.1,209950.2.1,cut:209721] equal(multiply(sk_c1,sk_c10),sk_c9) | $spltprd0($spltcnst20).
% 212297 [para:212228.1.1,212112.2.2.2] equal(sk_c10,multiply(sk_c10,sk_c9)) | $spltprd0($spltcnst20).
% 212322 [para:212297.1.2,210089.1.2.2,demod:209723,binarycut:212202] $spltprd0($spltcnst20).
% 212323 [binary:209774,212322,cut:210226,cut:210244] -$spltprd0($spltcnst23) | -$spltprd0($spltcnst22) | -$spltprd0($spltcnst19).
% 212447 [para:209734.2.1,209996.2.1,cut:209721] equal(multiply(sk_c6,sk_c8),sk_c7) | $spltprd0($spltcnst22).
% 212453 [para:212447.1.1,210175.2.2.2] equal(sk_c8,multiply(sk_c8,sk_c7)) | $spltprd0($spltcnst22).
% 212552 [para:209735.2.1,210000.2.1,cut:209721] equal(multiply(sk_c8,sk_c7),sk_c9) | $spltprd0($spltcnst22).
% 212562 [para:212552.1.1,212453.1.2] equal(sk_c8,sk_c9) | $spltprd0($spltcnst22).
% 212616 [para:212562.1.1,210745.2.1,cut:209721] equal(inverse(sk_c3),sk_c9) | $spltprd0($spltcnst22).
% 212649 [para:209730.1.1,209771.2.1,cut:209721,binarycut:212616] equal(multiply(sk_c5,sk_c8),sk_c9) | $spltprd0($spltcnst22).
% 212654 [para:212649.1.1,210539.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst22).
% 212671 [para:212654.1.1,209987.1.2,cut:209458,binarycut:212562] $spltprd0($spltcnst22).
% 212692 [para:209741.2.1,210031.2.1,cut:209721] equal(multiply(sk_c6,sk_c8),sk_c7) | $spltprd0($spltcnst23).
% 212701 [para:212692.1.1,211407.2.1.2] equal(multiply(sk_c8,sk_c7),sk_c8) | $spltprd0($spltcnst23).
% 212721 [para:209742.2.1,210032.2.1,cut:209721] equal(multiply(sk_c8,sk_c7),sk_c9) | $spltprd0($spltcnst23).
% 212798 [para:212721.1.1,212701.1.1] equal(sk_c9,sk_c8) | $spltprd0($spltcnst23).
% 212848 [?] ?
% 212863 [para:209753.1.1,209772.2.1,cut:209721,binarycut:212848] equal(multiply(sk_c4,sk_c10),sk_c9) | $spltprd0($spltcnst23).
% 212867 [para:212863.1.1,211246.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst23).
% 212877 [para:212867.1.1,210023.1.2,cut:209458,binarycut:212798] $spltprd0($spltcnst23).
% 212879 [binary:212323,212877,cut:212671] -$spltprd0($spltcnst19).
% 212967 [para:209733.1.1,210247.1.2.1] equal(sk_c8,multiply(sk_c9,sk_c9)) | equal(inverse(sk_c6),sk_c8).
% 213000 [para:209733.2.1,210250.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c7)) | equal(inverse(sk_c3),sk_c9).
% 213004 [para:213000.1.2,209735.1.1] equal(inverse(sk_c3),sk_c9) | equal(sk_c8,sk_c9).
% 213007 [para:213000.1.2,210089.1.2.2,demod:209723] equal(inverse(sk_c3),sk_c9) | equal(sk_c7,identity).
% 213012 [para:213004.1.1,209723.1.1.1] equal(multiply(sk_c9,sk_c3),identity) | equal(sk_c8,sk_c9).
% 213020 [para:213004.2.1,209785.1.1.1] equal(multiply(sk_c9,sk_c6),identity) | equal(inverse(sk_c3),sk_c9).
% 213026 [para:213004.1.1,210089.1.2.1] equal(sk_c8,sk_c9) | equal(X,multiply(sk_c9,multiply(sk_c3,X))).
% 213032 [para:213004.2.1,213000.1.2.1] equal(sk_c8,multiply(sk_c9,sk_c7)) | equal(inverse(sk_c3),sk_c9).
% 213034 [para:213007.1.1,209723.1.1.1] equal(multiply(sk_c9,sk_c3),identity) | equal(sk_c7,identity).
% 213036 [para:213007.1.1,210089.1.2.1] equal(sk_c7,identity) | equal(X,multiply(sk_c9,multiply(sk_c3,X))).
% 213117 [para:213034.1.1,210089.1.2.2] equal(sk_c3,multiply(inverse(sk_c9),identity)) | equal(sk_c7,identity).
% 213339 [para:209736.2.1,210254.1.2.1] equal(sk_c8,multiply(sk_c8,sk_c9)) | equal(inverse(sk_c3),sk_c9).
% 213346 [para:213339.1.2,210089.1.2.2,demod:209723] equal(inverse(sk_c3),sk_c9) | equal(sk_c9,identity).
% 213370 [para:213346.2.1,213020.1.1.1,demod:209722] equal(inverse(sk_c3),sk_c9) | equal(sk_c6,identity).
% 213372 [para:213346.2.1,213032.1.2.1,demod:209722] equal(inverse(sk_c3),sk_c9) | equal(sk_c8,sk_c7).
% 213390 [para:209733.2.1,213370.2.1.1] equal(inverse(identity),sk_c8) | equal(inverse(sk_c3),sk_c9).
% 213400 [para:213372.1.1,209723.1.1.1] equal(multiply(sk_c9,sk_c3),identity) | equal(sk_c8,sk_c7).
% 213402 [para:213372.1.1,210089.1.2.1] equal(sk_c8,sk_c7) | equal(X,multiply(sk_c9,multiply(sk_c3,X))).
% 213443 [para:213390.2.1,209723.1.1.1] equal(multiply(sk_c9,sk_c3),identity) | equal(inverse(identity),sk_c8).
% 213551 [para:213400.1.1,210089.1.2.2] equal(sk_c3,multiply(inverse(sk_c9),identity)) | equal(sk_c8,sk_c7).
% 214334 [para:209747.1.1,210129.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c8)) | equal(inverse(sk_c6),sk_c8).
% 214341 [para:214334.1.2,210089.1.2.2,demod:209723] equal(inverse(sk_c6),sk_c8) | equal(sk_c8,identity).
% 214345 [para:214341.1.1,209723.1.1.1] equal(multiply(sk_c8,sk_c6),identity) | equal(sk_c8,identity).
% 214559 [para:209741.1.1,210132.2.2.2] equal(sk_c8,multiply(sk_c8,sk_c7)) | equal(inverse(sk_c2),sk_c9).
% 214573 [para:214559.1.2,209742.1.1] equal(inverse(sk_c2),sk_c9) | equal(sk_c8,sk_c9).
% 214575 [para:214559.1.2,210089.1.2.2,demod:209723] equal(inverse(sk_c2),sk_c9) | equal(sk_c7,identity).
% 214609 [para:214573.2.1,214559.1.2.1] equal(sk_c8,multiply(sk_c9,sk_c7)) | equal(inverse(sk_c2),sk_c9).
% 214611 [para:214575.1.1,209723.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(sk_c7,identity).
% 214685 [para:209744.1.1,210134.2.2.2] equal(sk_c8,multiply(sk_c8,sk_c9)) | equal(inverse(sk_c2),sk_c9).
% 214702 [para:214611.1.1,210089.1.2.2] equal(sk_c2,multiply(inverse(sk_c9),identity)) | equal(sk_c7,identity).
% 215132 [para:214685.1.2,210089.1.2.2,demod:209723] equal(inverse(sk_c2),sk_c9) | equal(sk_c9,identity).
% 215181 [para:215132.2.1,214609.1.2.1,demod:209722] equal(inverse(sk_c2),sk_c9) | equal(sk_c8,sk_c7).
% 215212 [para:215181.1.1,209723.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(sk_c8,sk_c7).
% 215242 [para:209761.1.1,210139.2.2.2] equal(sk_c10,multiply(sk_c10,sk_c9)) | equal(inverse(sk_c6),sk_c8).
% 215343 [para:215212.1.1,210089.1.2.2] equal(sk_c2,multiply(inverse(sk_c9),identity)) | equal(sk_c8,sk_c7).
% 215430 [para:209758.1.1,210142.2.2.2] equal(sk_c8,multiply(sk_c8,sk_c9)) | equal(inverse(sk_c1),sk_c10).
% 215474 [para:209766.1.1,210143.2.2.2] equal(sk_c10,multiply(sk_c10,sk_c9)) | equal(inverse(sk_c4),sk_c10).
% 215499 [para:214702.1.2,213117.1.2] equal(sk_c3,sk_c2) | equal(sk_c7,identity).
% 216058 [para:215242.1.2,210089.1.2.2,demod:209723] equal(inverse(sk_c6),sk_c8) | equal(sk_c9,identity).
% 216070 [para:216058.2.1,212967.1.2.1,demod:209722] equal(inverse(sk_c6),sk_c8) | equal(sk_c8,sk_c9).
% 217275 [para:215343.1.2,213551.1.2] equal(sk_c3,sk_c2) | equal(sk_c8,sk_c7).
% 218051 [para:215430.1.2,210089.1.2.2,demod:209723] equal(inverse(sk_c1),sk_c10) | equal(sk_c9,identity).
% 218063 [para:218051.1.1,209723.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(sk_c9,identity).
% 218115 [para:218063.1.1,210089.1.2.2] equal(sk_c1,multiply(inverse(sk_c10),identity)) | equal(sk_c9,identity).
% 218168 [para:215474.1.2,210089.1.2.2,demod:209723] equal(inverse(sk_c4),sk_c10) | equal(sk_c9,identity).
% 218176 [para:218168.1.1,209723.1.1.1] equal(multiply(sk_c10,sk_c4),identity) | equal(sk_c9,identity).
% 218248 [para:218176.1.1,210089.1.2.2] equal(sk_c4,multiply(inverse(sk_c10),identity)) | equal(sk_c9,identity).
% 220266 [para:218248.1.2,218115.1.2] equal(sk_c1,sk_c4) | equal(sk_c9,identity).
% 220278 [para:220266.1.1,209767.1.1.1] equal(multiply(sk_c4,sk_c10),sk_c9) | equal(sk_c9,identity).
% 220453 [para:220278.1.1,210089.1.2.2] equal(sk_c10,multiply(inverse(sk_c4),sk_c9)) | equal(sk_c9,identity).
% 221718 [para:215474.2.1,220453.1.2.1] equal(sk_c10,multiply(sk_c10,sk_c9)) | equal(sk_c9,identity).
% 221735 [para:221718.1.2,210089.1.2.2,demod:209723] equal(sk_c9,identity).
% 221820 [para:221735.1.1,213012.1.1.1,demod:209722] equal(sk_c3,identity) | equal(sk_c8,sk_c9).
% 221821 [para:221735.1.1,213034.1.1.1,demod:209722] equal(sk_c3,identity) | equal(sk_c7,identity).
% 221822 [para:213026.1.1,221735.2.2.1,demod:209722] equal(sk_c8,sk_c9) | equal(X,multiply(sk_c3,X)).
% 221827 [para:221735.1.1,213400.1.1.1,demod:209722] equal(sk_c3,identity) | equal(sk_c8,sk_c7).
% 221835 [para:221735.1.1,213443.1.1.1,demod:209722] equal(inverse(identity),sk_c8) | equal(sk_c3,identity).
% 221959 [para:221820.1.1,209727.1.1.1,demod:209722] equal(multiply(sk_c6,sk_c8),sk_c7) | equal(sk_c8,sk_c9).
% 222065 [para:213036.1.1,221821.2.2.2.1,demod:209722] equal(sk_c7,identity) | equal(X,multiply(sk_c9,X)).
% 222250 [para:213402.1.1,221827.2.2.2.1,demod:209722] equal(sk_c8,sk_c7) | equal(X,multiply(sk_c9,X)).
% 223228 [para:213390.2.1,221835.2.1.1] equal(inverse(identity),sk_c9) | equal(inverse(identity),sk_c8).
% 224223 [para:213036.2.2,222065.2.2] equal(sk_c7,identity) | equal(multiply(sk_c3,X),X).
% 224334 [para:213402.2.2,222250.2.2] equal(sk_c8,sk_c7) | equal(multiply(sk_c3,X),X).
% 225270 [para:215499.1.1,224223.2.1.1] equal(sk_c7,identity) | equal(multiply(sk_c2,X),X).
% 225359 [para:217275.1.1,224334.2.1.1] equal(sk_c8,sk_c7) | equal(multiply(sk_c2,X),X).
% 226278 [para:221959.1.1,209909.3.1,cut:209721,cut:212879,binarycut:216070] equal(multiply(sk_c3,sk_c8),sk_c9) | equal(sk_c8,sk_c9).
% 227244 [para:221822.1.1,226278.2.2] equal(sk_c8,sk_c9).
% 227274 [para:227244.1.1,214345.1.1.1] equal(multiply(sk_c9,sk_c6),identity) | equal(sk_c8,identity).
% 227309 [para:227244.1.1,210298.1.2.1.1,demod:209723] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(sk_c7,identity).
% 227844 [para:221735.1.1,227274.1.1.1,demod:209722] equal(sk_c6,identity) | equal(sk_c8,identity).
% 227889 [para:227844.2.1,209839.1.1.1,demod:209722] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(sk_c6,identity).
% 228716 [para:221735.1.1,227309.1.1.2] equal(multiply(sk_c2,identity),sk_c8) | equal(sk_c7,identity).
% 228891 [para:209748.2.1,227889.2.1.1,demod:209722] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(sk_c8,sk_c7).
% 229089 [para:225270.1.1,228716.2.1] equal(sk_c8,identity) | equal(sk_c7,identity).
% 229271 [para:221735.1.1,228891.1.1.2] equal(multiply(sk_c2,identity),sk_c8) | equal(sk_c8,sk_c7).
% 229644 [para:225359.1.1,229271.2.1] equal(sk_c8,identity) | equal(sk_c8,sk_c7).
% 229690 [para:229089.2.2,229644.2.1] equal(sk_c8,identity).
% 229706 [para:229690.1.1,209768.2.1.1,demod:209722,cut:212879] -equal(multiply(X,sk_c8),Y) | -equal(inverse(X),sk_c8) | -equal(Y,sk_c9).
% 234578 [binary:209722,229706,cut:227244] -equal(inverse(identity),sk_c8).
% 234588 [binary:223228.2,234578] equal(inverse(identity),sk_c9).
% 234589 [para:227244.1.1,234578.1.2,demod:234588,cut:209721] 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: 6329
% derived clauses: 1580500
% kept clauses: 31802
% kept size sum: 531704
% kept mid-nuclei: 195624
% kept new demods: 185
% forw unit-subs: 285180
% forw double-subs: 401367
% forw overdouble-subs: 84313
% backward subs: 4199
% fast unit cutoff: 5975
% full unit cutoff: 0
% dbl unit cutoff: 383
% real runtime : 56.4
% process. runtime: 56.0
% specific non-discr-tree subsumption statistics:
% tried: 697966
% length fails: 55339
% strength fails: 96130
% predlist fails: 11063
% aux str. fails: 81906
% by-lit fails: 193200
% full subs tried: 183740
% full subs fail: 105439
%
% ; 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/GRP252-1+eq_r.in")
%
%------------------------------------------------------------------------------