TSTP Solution File: GRP385-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP385-1 : 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 : art10.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 99.6s
% Output : Assurance 99.6s
% 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/GRP385-1+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 27)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 27)
% (binary-posweight-lex-big-order 30 #f 3 27)
% (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(sk_c10),sk_c9) | -equal(multiply(sk_c9,sk_c8),sk_c10) | -equal(multiply(sk_c10,sk_c8),sk_c9) | -equal(multiply(sk_c10,X),sk_c9) | -equal(multiply(Y,sk_c10),X) | -equal(inverse(Y),sk_c10) | -equal(multiply(sk_c10,Z),sk_c9) | -equal(multiply(U,sk_c10),Z) | -equal(inverse(U),sk_c10) | -equal(multiply(V,W),sk_c8) | -equal(inverse(V),W) | -equal(multiply(W,sk_c9),sk_c8) | -equal(inverse(X1),sk_c10) | -equal(multiply(X1,sk_c8),sk_c10).
% was split for some strategies as:
% -equal(inverse(X1),sk_c10) | -equal(multiply(X1,sk_c8),sk_c10).
% -equal(multiply(V,W),sk_c8) | -equal(inverse(V),W) | -equal(multiply(W,sk_c9),sk_c8).
% -equal(multiply(sk_c10,Z),sk_c9) | -equal(multiply(U,sk_c10),Z) | -equal(inverse(U),sk_c10).
% -equal(multiply(sk_c10,X),sk_c9) | -equal(multiply(Y,sk_c10),X) | -equal(inverse(Y),sk_c10).
% -equal(inverse(sk_c10),sk_c9).
% -equal(multiply(sk_c9,sk_c8),sk_c10).
% -equal(multiply(sk_c10,sk_c8),sk_c9).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(46,40,0,97,0,1,152828,4,1216,158764,5,1503,158766,1,1503,158766,50,1503,158766,40,1503,158817,0,1503,170445,3,1804,171084,4,1954,171661,1,2104,171661,50,2104,171661,40,2104,171712,0,2104,172552,3,2411,172681,4,2562,172722,5,2705,172722,1,2705,172722,50,2705,172722,40,2705,172773,0,2705,199568,3,4206,200200,4,4956,200506,1,5706,200506,50,5706,200506,40,5706,200557,0,5707,216924,3,6463,217739,4,6833,218535,5,7208,218536,1,7208,218536,50,7208,218536,40,7208,218587,0,7208,228297,3,8083,229471,4,8334,231773,5,8712,231774,1,8712,231774,50,8712,231774,40,8712,231825,0,8712)
%
%
% START OF PROOF
% 231775 [] equal(X,X).
% 231776 [] equal(multiply(identity,X),X).
% 231777 [] equal(multiply(inverse(X),X),identity).
% 231778 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 231781 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c7),sk_c10).
% 231782 [] equal(multiply(sk_c6,sk_c9),sk_c8) | equal(inverse(sk_c1),sk_c10).
% 231783 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c5),sk_c6).
% 231784 [] equal(multiply(sk_c5,sk_c6),sk_c8) | equal(inverse(sk_c1),sk_c10).
% 231785 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c3),sk_c10).
% 231786 [] equal(multiply(sk_c3,sk_c10),sk_c4) | equal(inverse(sk_c1),sk_c10).
% 231787 [] equal(multiply(sk_c10,sk_c4),sk_c9) | equal(inverse(sk_c1),sk_c10).
% 231789 [] equal(multiply(sk_c1,sk_c10),sk_c2) | equal(inverse(sk_c7),sk_c10).
% 231793 [] equal(multiply(sk_c1,sk_c10),sk_c2) | equal(inverse(sk_c3),sk_c10).
% 231794 [] equal(multiply(sk_c1,sk_c10),sk_c2) | equal(multiply(sk_c3,sk_c10),sk_c4).
% 231795 [] equal(multiply(sk_c1,sk_c10),sk_c2) | equal(multiply(sk_c10,sk_c4),sk_c9).
% 231797 [] equal(multiply(sk_c10,sk_c2),sk_c9) | equal(inverse(sk_c7),sk_c10).
% 231801 [] equal(multiply(sk_c10,sk_c2),sk_c9) | equal(inverse(sk_c3),sk_c10).
% 231802 [] equal(multiply(sk_c10,sk_c2),sk_c9) | equal(multiply(sk_c3,sk_c10),sk_c4).
% 231803 [] equal(multiply(sk_c10,sk_c2),sk_c9) | equal(multiply(sk_c10,sk_c4),sk_c9).
% 231804 [] equal(multiply(sk_c10,sk_c8),sk_c9) | equal(multiply(sk_c7,sk_c8),sk_c10).
% 231805 [] equal(multiply(sk_c10,sk_c8),sk_c9) | equal(inverse(sk_c7),sk_c10).
% 231807 [] equal(multiply(sk_c10,sk_c8),sk_c9) | equal(inverse(sk_c5),sk_c6).
% 231808 [] equal(multiply(sk_c10,sk_c8),sk_c9) | equal(multiply(sk_c5,sk_c6),sk_c8).
% 231810 [] equal(multiply(sk_c10,sk_c8),sk_c9) | equal(multiply(sk_c3,sk_c10),sk_c4).
% 231811 [] equal(multiply(sk_c10,sk_c8),sk_c9) | equal(multiply(sk_c10,sk_c4),sk_c9).
% 231812 [] equal(multiply(sk_c9,sk_c8),sk_c10) | equal(multiply(sk_c7,sk_c8),sk_c10).
% 231813 [] equal(multiply(sk_c9,sk_c8),sk_c10) | equal(inverse(sk_c7),sk_c10).
% 231820 [] equal(inverse(sk_c10),sk_c9).
% 231821 [?] ?
% 231822 [] $spltprd0($spltcnst26) | -equal(multiply(X,sk_c9),sk_c8) | -equal(multiply(Y,X),sk_c8) | -equal(inverse(Y),X).
% 231823 [] $spltprd0($spltcnst27) | -equal(multiply(sk_c10,X),sk_c9) | -equal(multiply(Y,sk_c10),X) | -equal(inverse(Y),sk_c10).
% 231824 [] $spltprd0($spltcnst28) | -equal(multiply(sk_c10,X),sk_c9) | -equal(multiply(Y,sk_c10),X) | -equal(inverse(Y),sk_c10).
% 231825 [] -$spltprd0($spltcnst26) | -$spltprd0($spltcnst25) | -$spltprd0($spltcnst28) | -$spltprd0($spltcnst27).
% 231827 [input:231821,factor:cut:231775] -equal(multiply(sk_c9,sk_c8),sk_c10) | -equal(multiply(sk_c10,sk_c8),sk_c9) | -equal(inverse(sk_c9),sk_c10) | $spltprd0($spltcnst25).
% 231828 [input:231822,factor] -equal(multiply(sk_c9,sk_c9),sk_c8) | -equal(inverse(sk_c9),sk_c9) | $spltprd0($spltcnst26).
% 231832 [para:231820.1.1,231777.1.1.1] equal(multiply(sk_c9,sk_c10),identity).
% 231851 [para:231786.2.1,231777.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(multiply(sk_c3,sk_c10),sk_c4).
% 231853 [para:231787.2.1,231777.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(multiply(sk_c10,sk_c4),sk_c9).
% 231948 [para:231782.1.1,231822.2.1,cut:231775] equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst26) | -equal(multiply(X,sk_c6),sk_c8) | -equal(inverse(X),sk_c6).
% 231961 [para:231797.1.1,231823.2.1,cut:231775] equal(inverse(sk_c7),sk_c10) | $spltprd0($spltcnst27) | -equal(multiply(X,sk_c10),sk_c2) | -equal(inverse(X),sk_c10).
% 231963 [para:231801.1.1,231823.2.1,cut:231775] equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst27) | -equal(multiply(X,sk_c10),sk_c2) | -equal(inverse(X),sk_c10).
% 231972 [para:231795.2.1,231823.2.1,cut:231775] equal(multiply(sk_c1,sk_c10),sk_c2) | $spltprd0($spltcnst27) | -equal(multiply(X,sk_c10),sk_c4) | -equal(inverse(X),sk_c10).
% 231976 [para:231802.1.1,231823.2.1,cut:231775] equal(multiply(sk_c3,sk_c10),sk_c4) | $spltprd0($spltcnst27) | -equal(multiply(X,sk_c10),sk_c2) | -equal(inverse(X),sk_c10).
% 231978 [para:231803.2.1,231823.2.1,cut:231775] equal(multiply(sk_c10,sk_c2),sk_c9) | $spltprd0($spltcnst27) | -equal(multiply(X,sk_c10),sk_c4) | -equal(inverse(X),sk_c10).
% 231984 [para:231811.2.1,231823.2.1,cut:231775] equal(multiply(sk_c10,sk_c8),sk_c9) | $spltprd0($spltcnst27) | -equal(multiply(X,sk_c10),sk_c4) | -equal(inverse(X),sk_c10).
% 232016 [para:231797.1.1,231824.2.1,cut:231775] equal(inverse(sk_c7),sk_c10) | $spltprd0($spltcnst28) | -equal(multiply(X,sk_c10),sk_c2) | -equal(inverse(X),sk_c10).
% 232018 [para:231801.1.1,231824.2.1,cut:231775] equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst28) | -equal(multiply(X,sk_c10),sk_c2) | -equal(inverse(X),sk_c10).
% 232027 [para:231795.2.1,231824.2.1,cut:231775] equal(multiply(sk_c1,sk_c10),sk_c2) | $spltprd0($spltcnst28) | -equal(multiply(X,sk_c10),sk_c4) | -equal(inverse(X),sk_c10).
% 232031 [para:231802.1.1,231824.2.1,cut:231775] equal(multiply(sk_c3,sk_c10),sk_c4) | $spltprd0($spltcnst28) | -equal(multiply(X,sk_c10),sk_c2) | -equal(inverse(X),sk_c10).
% 232033 [para:231803.2.1,231824.2.1,cut:231775] equal(multiply(sk_c10,sk_c2),sk_c9) | $spltprd0($spltcnst28) | -equal(multiply(X,sk_c10),sk_c4) | -equal(inverse(X),sk_c10).
% 232046 [para:231853.2.1,231824.2.1,cut:231775] equal(multiply(sk_c10,sk_c1),identity) | $spltprd0($spltcnst28) | -equal(multiply(X,sk_c10),sk_c4) | -equal(inverse(X),sk_c10).
% 232079 [para:231777.1.1,231778.1.1.1,demod:231776] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 232080 [para:231832.1.1,231778.1.1.1,demod:231776] equal(X,multiply(sk_c9,multiply(sk_c10,X))).
% 232187 [para:231797.1.1,232080.1.2.2] equal(sk_c2,multiply(sk_c9,sk_c9)) | equal(inverse(sk_c7),sk_c10).
% 232190 [para:231805.1.1,232080.1.2.2] equal(sk_c8,multiply(sk_c9,sk_c9)) | equal(inverse(sk_c7),sk_c10).
% 232198 [para:231795.2.1,232080.1.2.2] equal(sk_c4,multiply(sk_c9,sk_c9)) | equal(multiply(sk_c1,sk_c10),sk_c2).
% 232204 [para:231803.2.1,232080.1.2.2] equal(sk_c4,multiply(sk_c9,sk_c9)) | equal(multiply(sk_c10,sk_c2),sk_c9).
% 232242 [para:231777.1.1,232079.1.2.2] equal(X,multiply(inverse(inverse(X)),identity)).
% 232243 [para:231832.1.1,232079.1.2.2] equal(sk_c10,multiply(inverse(sk_c9),identity)).
% 232296 [para:231778.1.1,232079.1.2.2] equal(X,multiply(inverse(multiply(Y,Z)),multiply(Y,multiply(Z,X)))).
% 232297 [para:232080.1.2,232079.1.2.2] equal(multiply(sk_c10,X),multiply(inverse(sk_c9),X)).
% 232298 [para:232079.1.2,232079.1.2.2] equal(multiply(X,Y),multiply(inverse(inverse(X)),Y)).
% 232320 [para:232297.1.2,231777.1.1] equal(multiply(sk_c10,sk_c9),identity).
% 232322 [para:232297.1.2,232243.1.2] equal(sk_c10,multiply(sk_c10,identity)).
% 232326 [para:232320.1.1,232080.1.2.2] equal(sk_c9,multiply(sk_c9,identity)).
% 232343 [para:232298.1.2,231777.1.1] equal(multiply(X,inverse(X)),identity).
% 232347 [para:231783.2.1,232298.1.2.1.1] equal(inverse(sk_c1),sk_c10) | equal(multiply(sk_c5,X),multiply(inverse(sk_c6),X)).
% 232375 [para:232298.1.2,232242.1.2] equal(X,multiply(X,identity)).
% 232376 [para:232375.1.2,231777.1.1] equal(inverse(identity),identity).
% 232377 [para:232375.1.2,232243.1.2] equal(sk_c10,inverse(sk_c9)).
% 232378 [para:232375.1.2,232242.1.2] equal(X,inverse(inverse(X))).
% 232399 [para:231781.1.1,232378.1.2.1,demod:231820] equal(inverse(sk_c7),sk_c10) | equal(sk_c1,sk_c9).
% 232401 [para:231783.1.1,232378.1.2.1,demod:231820] equal(inverse(sk_c5),sk_c6) | equal(sk_c1,sk_c9).
% 232403 [para:231785.1.1,232378.1.2.1,demod:231820] equal(inverse(sk_c3),sk_c10) | equal(sk_c1,sk_c9).
% 232407 [para:231784.2.1,232378.1.2.1,demod:231820] equal(multiply(sk_c5,sk_c6),sk_c8) | equal(sk_c1,sk_c9).
% 232408 [para:231786.2.1,232378.1.2.1,demod:231820] equal(multiply(sk_c3,sk_c10),sk_c4) | equal(sk_c1,sk_c9).
% 232410 [para:231789.2.1,232378.1.2.1,demod:231820] equal(multiply(sk_c1,sk_c10),sk_c2) | equal(sk_c7,sk_c9).
% 232412 [para:231793.2.1,232378.1.2.1,demod:231820] equal(multiply(sk_c1,sk_c10),sk_c2) | equal(sk_c3,sk_c9).
% 232413 [para:231797.2.1,232378.1.2.1,demod:231820] equal(multiply(sk_c10,sk_c2),sk_c9) | equal(sk_c7,sk_c9).
% 232415 [para:231801.2.1,232378.1.2.1,demod:231820] equal(multiply(sk_c10,sk_c2),sk_c9) | equal(sk_c3,sk_c9).
% 232430 [para:232399.2.2,231813.1.1.1] equal(multiply(sk_c1,sk_c8),sk_c10) | equal(inverse(sk_c7),sk_c10).
% 232441 [para:232399.2.2,231827.1.1.1,demod:232377,cut:231775,binarycut:231805,binarycut:232430] equal(inverse(sk_c7),sk_c10) | $spltprd0($spltcnst25).
% 232442 [para:232399.1.1,232242.1.2.1.1,demod:232326,231820] equal(sk_c7,sk_c9) | equal(sk_c1,sk_c9).
% 232481 [para:232441.1.1,232242.1.2.1.1,demod:232326,231820] equal(sk_c7,sk_c9) | $spltprd0($spltcnst25).
% 232492 [para:232481.1.2,231812.1.1.1] equal(multiply(sk_c7,sk_c8),sk_c10) | $spltprd0($spltcnst25).
% 232505 [para:232481.1.2,231827.1.1.1,demod:232377,cut:231775,binarycut:232492] -equal(multiply(sk_c10,sk_c8),sk_c9) | $spltprd0($spltcnst25).
% 232535 [para:232442.2.2,231832.1.1.1] equal(multiply(sk_c1,sk_c10),identity) | equal(sk_c7,sk_c9).
% 232688 [para:232401.1.1,232343.1.1.2] equal(multiply(sk_c5,sk_c6),identity) | equal(sk_c1,sk_c9).
% 232702 [para:232403.1.1,232242.1.2.1.1,demod:232326,231820] equal(sk_c3,sk_c9) | equal(sk_c1,sk_c9).
% 232995 [para:231807.1.1,232505.1.1,cut:231775] equal(inverse(sk_c5),sk_c6) | $spltprd0($spltcnst25).
% 233015 [para:232995.1.1,232343.1.1.2] equal(multiply(sk_c5,sk_c6),identity) | $spltprd0($spltcnst25).
% 233389 [para:231808.1.1,233015.2.1,binarycut:232505] equal(identity,sk_c8) | $spltprd0($spltcnst25).
% 233398 [para:231804.1.2,233389.2.1.2,demod:232375,binarycut:232505] equal(sk_c7,sk_c10) | $spltprd0($spltcnst25).
% 233405 [?] ?
% 233437 [para:233398.1.2,232322.1.2.1,demod:232375,binarycut:233405] $spltprd0($spltcnst25).
% 234095 [para:232535.1.1,232410.1.1] equal(identity,sk_c2) | equal(sk_c7,sk_c9).
% 234174 [para:234095.1.2,232413.1.1.2,demod:232322] equal(sk_c10,sk_c9) | equal(sk_c7,sk_c9).
% 234253 [para:231789.1.1,231961.3.1,cut:231775,binarycut:231781] equal(inverse(sk_c7),sk_c10) | $spltprd0($spltcnst27).
% 234257 [para:234253.1.1,232242.1.2.1.1,demod:232326,231820] equal(sk_c7,sk_c9) | $spltprd0($spltcnst27).
% 234337 [para:234174.1.1,231832.1.1.2] equal(multiply(sk_c9,sk_c9),identity) | equal(sk_c7,sk_c9).
% 234460 [para:231793.1.1,231963.3.1,cut:231775,binarycut:231785] equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst27).
% 234464 [para:234460.1.1,232242.1.2.1.1,demod:232326,231820] equal(sk_c3,sk_c9) | $spltprd0($spltcnst27).
% 234755 [para:232688.1.1,232407.1.1] equal(identity,sk_c8) | equal(sk_c1,sk_c9).
% 234787 [para:234755.2.2,232243.1.2.1.1,demod:232375] equal(sk_c10,inverse(sk_c1)) | equal(identity,sk_c8).
% 235156 [para:231794.2.1,231972.3.1,cut:231775,binarycut:234460] equal(multiply(sk_c1,sk_c10),sk_c2) | $spltprd0($spltcnst27).
% 235663 [para:235156.1.1,232079.1.2.2] equal(sk_c10,multiply(inverse(sk_c1),sk_c2)) | $spltprd0($spltcnst27).
% 236042 [para:231802.2.1,231978.3.1,cut:231775,binarycut:234460] equal(multiply(sk_c10,sk_c2),sk_c9) | $spltprd0($spltcnst27).
% 236046 [para:236042.1.1,232080.1.2.2] equal(sk_c2,multiply(sk_c9,sk_c9)) | $spltprd0($spltcnst27).
% 236533 [para:231810.2.1,231984.3.1,cut:231775,binarycut:234460] equal(multiply(sk_c10,sk_c8),sk_c9) | $spltprd0($spltcnst27).
% 236537 [para:236533.1.1,232080.1.2.2] equal(sk_c8,multiply(sk_c9,sk_c9)) | $spltprd0($spltcnst27).
% 236616 [para:236537.1.2,236046.1.2] equal(sk_c2,sk_c8) | $spltprd0($spltcnst27).
% 236625 [para:236616.1.1,235663.1.2.2] equal(sk_c10,multiply(inverse(sk_c1),sk_c8)) | $spltprd0($spltcnst27).
% 236922 [para:234787.2.2,236625.1.2.2,demod:232375] equal(sk_c10,inverse(sk_c1)) | $spltprd0($spltcnst27).
% 236940 [para:236922.1.2,232242.1.2.1.1,demod:232326,231820] equal(sk_c1,sk_c9) | $spltprd0($spltcnst27).
% 236942 [para:236922.1.2,232343.1.1.2] equal(multiply(sk_c1,sk_c10),identity) | $spltprd0($spltcnst27).
% 236959 [para:236940.1.2,234257.1.2] equal(sk_c7,sk_c1) | $spltprd0($spltcnst27).
% 236983 [para:236959.1.2,235156.1.1.1] equal(multiply(sk_c7,sk_c10),sk_c2) | $spltprd0($spltcnst27).
% 237014 [para:236942.1.1,235156.1.1] equal(identity,sk_c2) | $spltprd0($spltcnst27).
% 237026 [para:237014.1.2,236042.1.1.2,demod:232322] equal(sk_c10,sk_c9) | $spltprd0($spltcnst27).
% 237326 [para:236983.1.1,231976.3.1,cut:231775,binarycut:234253] equal(multiply(sk_c3,sk_c10),sk_c4) | $spltprd0($spltcnst27).
% 237445 [para:231789.1.1,232016.3.1,cut:231775,binarycut:231781] equal(inverse(sk_c7),sk_c10) | $spltprd0($spltcnst28).
% 237454 [para:237445.1.1,232242.1.2.1.1,demod:232326,231820] equal(sk_c7,sk_c9) | $spltprd0($spltcnst28).
% 237538 [para:231793.1.1,232018.3.1,cut:231775,binarycut:231785] equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst28).
% 237545 [para:237538.1.1,232242.1.2.1.1,demod:232326,231820] equal(sk_c3,sk_c9) | $spltprd0($spltcnst28).
% 237731 [para:231794.2.1,232027.3.1,cut:231775,binarycut:237538] equal(multiply(sk_c1,sk_c10),sk_c2) | $spltprd0($spltcnst28).
% 237886 [para:231802.2.1,232033.3.1,cut:231775,binarycut:237538] equal(multiply(sk_c10,sk_c2),sk_c9) | $spltprd0($spltcnst28).
% 238149 [para:231851.2.1,232046.3.1,cut:231775,binarycut:237538] equal(multiply(sk_c10,sk_c1),identity) | $spltprd0($spltcnst28).
% 238340 [para:238149.1.1,232080.1.2.2,demod:232326] equal(sk_c1,sk_c9) | $spltprd0($spltcnst28).
% 238350 [para:238340.1.2,231832.1.1.1] equal(multiply(sk_c1,sk_c10),identity) | $spltprd0($spltcnst28).
% 238369 [para:238340.1.2,237454.1.2] equal(sk_c7,sk_c1) | $spltprd0($spltcnst28).
% 238384 [para:238369.1.2,237731.1.1.1] equal(multiply(sk_c7,sk_c10),sk_c2) | $spltprd0($spltcnst28).
% 238643 [para:238350.1.1,237731.1.1] equal(identity,sk_c2) | $spltprd0($spltcnst28).
% 238654 [para:238643.1.2,237886.1.1.2,demod:232322] equal(sk_c10,sk_c9) | $spltprd0($spltcnst28).
% 238892 [para:238384.1.1,232031.3.1,cut:231775,binarycut:237445] equal(multiply(sk_c3,sk_c10),sk_c4) | $spltprd0($spltcnst28).
% 243431 [para:232190.1.2,232187.1.2] equal(inverse(sk_c7),sk_c10) | equal(sk_c2,sk_c8).
% 243436 [para:243431.1.1,232242.1.2.1.1,demod:232326,231820] equal(sk_c7,sk_c9) | equal(sk_c2,sk_c8).
% 243505 [para:243436.2.1,234095.1.2] equal(identity,sk_c8) | equal(sk_c7,sk_c9).
% 243585 [para:243505.1.2,231828.1.2,demod:232377,binarycut:234337,binarycut:234174] equal(sk_c7,sk_c9) | $spltprd0($spltcnst26).
% 243688 [binary:231825,243585.2,cut:233437] equal(sk_c7,sk_c9) | -$spltprd0($spltcnst28) | -$spltprd0($spltcnst27).
% 244404 [binary:237454.2,243688.2] equal(sk_c7,sk_c9) | -$spltprd0($spltcnst27).
% 244408 [binary:234257.2,244404.2] equal(sk_c7,sk_c9).
% 244409 [para:244408.1.2,231832.1.1.1] equal(multiply(sk_c7,sk_c10),identity).
% 244414 [para:244408.1.2,231812.1.1.1] equal(multiply(sk_c7,sk_c8),sk_c10).
% 244417 [para:244408.1.2,232243.1.2.1.1,demod:232375] equal(sk_c10,inverse(sk_c7)).
% 244427 [para:232702.1.2,244408.2.2] equal(sk_c1,sk_c7) | equal(sk_c3,sk_c9).
% 244504 [para:244417.1.2,232298.1.2.1.1,demod:231820] equal(multiply(sk_c7,X),multiply(sk_c9,X)).
% 244513 [para:244414.1.1,232079.1.2.2,demod:244417] equal(sk_c8,multiply(sk_c10,sk_c10)).
% 244566 [para:244427.1.1,232412.1.1.1,demod:244409] equal(identity,sk_c2) | equal(sk_c3,sk_c9).
% 245376 [para:244566.1.2,232415.1.1.2,demod:232322] equal(sk_c10,sk_c9) | equal(sk_c3,sk_c9).
% 245515 [para:245376.1.1,231832.1.1.2,demod:244504] equal(multiply(sk_c7,sk_c9),identity) | equal(sk_c3,sk_c9).
% 245677 [para:245376.1.1,244513.1.2.1,demod:231832] equal(sk_c8,identity) | equal(sk_c3,sk_c9).
% 246350 [para:245677.1.1,231828.1.2,demod:232377,244504,binarycut:245515,binarycut:245376] equal(sk_c3,sk_c9) | $spltprd0($spltcnst26).
% 246489 [binary:231825,246350.2,cut:233437] equal(sk_c3,sk_c9) | -$spltprd0($spltcnst28) | -$spltprd0($spltcnst27).
% 247810 [binary:237545.2,246489.2] equal(sk_c3,sk_c9) | -$spltprd0($spltcnst27).
% 247816 [binary:234464.2,247810.2] equal(sk_c3,sk_c9).
% 247817 [para:247816.1.2,231832.1.1.1] equal(multiply(sk_c3,sk_c10),identity).
% 247859 [para:232408.1.2,247816.2.2,demod:247817] equal(sk_c1,sk_c3) | equal(identity,sk_c4).
% 247916 [para:247816.1.2,244504.1.2.1] equal(multiply(sk_c7,X),multiply(sk_c3,X)).
% 247994 [para:247859.1.1,231794.1.1.1,demod:247817] equal(identity,sk_c2) | equal(identity,sk_c4).
% 248185 [para:247994.1.2,231802.1.1.2,demod:247817,232322] equal(sk_c10,sk_c9) | equal(identity,sk_c4).
% 248205 [para:248185.1.1,231832.1.1.2,demod:247916,244504] equal(multiply(sk_c3,sk_c9),identity) | equal(identity,sk_c4).
% 248247 [para:248185.1.1,244513.1.2.1,demod:231832] equal(sk_c8,identity) | equal(identity,sk_c4).
% 248258 [para:248247.1.1,231828.1.2,demod:232377,247916,244504,binarycut:248205,binarycut:248185] equal(identity,sk_c4) | $spltprd0($spltcnst26).
% 248273 [binary:231825,248258.2,cut:233437] equal(identity,sk_c4) | -$spltprd0($spltcnst28) | -$spltprd0($spltcnst27).
% 248648 [binary:238892.2,248273.2,demod:247817] equal(identity,sk_c4) | -$spltprd0($spltcnst27).
% 248718 [binary:237326.2,248648.2,demod:247817] equal(identity,sk_c4).
% 251152 [para:232320.1.1,232296.1.2.2.2,demod:232375] equal(sk_c9,multiply(inverse(multiply(X,sk_c10)),X)).
% 251758 [para:232297.1.2,251152.1.2.1.1,demod:232377,244513] equal(sk_c9,multiply(inverse(sk_c8),sk_c10)).
% 251829 [para:251152.1.2,251152.1.2.1.1,demod:244513,232377] equal(sk_c9,multiply(sk_c10,inverse(sk_c8))).
% 251831 [para:251758.1.2,232079.1.2.2,demod:232378] equal(sk_c10,multiply(sk_c8,sk_c9)).
% 251927 [para:251829.1.2,232080.1.2.2,demod:247916,244504] equal(inverse(sk_c8),multiply(sk_c3,sk_c9)).
% 252232 [para:232322.1.2,231823.2.1,binarycut:237026] $spltprd0($spltcnst27) | -equal(multiply(X,sk_c10),identity) | -equal(inverse(X),sk_c10).
% 252234 [para:231777.1.1,252232.2.1,demod:232377,231820,cut:231775,cut:231775] $spltprd0($spltcnst27).
% 252236 [para:232322.1.2,231824.2.1,binarycut:238654] $spltprd0($spltcnst28) | -equal(multiply(X,sk_c10),identity) | -equal(inverse(X),sk_c10).
% 252238 [para:231777.1.1,252236.2.1,demod:232377,231820,cut:231775,cut:231775] $spltprd0($spltcnst28).
% 252318 [para:232347.2.2,231948.3.1,demod:232378,cut:231775,binarycut:231784] equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst26).
% 252326 [binary:231825,252318.2,cut:233437,cut:252238,cut:252234] equal(inverse(sk_c1),sk_c10).
% 252334 [para:252326.1.1,232242.1.2.1.1,demod:232326,231820] equal(sk_c1,sk_c9).
% 252335 [para:252326.1.1,232298.1.2.1.1,demod:247916,244504,231820] equal(multiply(sk_c1,X),multiply(sk_c3,X)).
% 252363 [para:252334.1.2,232198.1.2.1,demod:247817,251927,252335] equal(sk_c4,inverse(sk_c8)) | equal(identity,sk_c2).
% 252490 [para:232204.2.2,252363.2.1.2,demod:251927,247916,244504,232322] equal(sk_c4,inverse(sk_c8)) | equal(sk_c10,sk_c9).
% 252749 [para:252490.1.2,232242.1.2.1.1,demod:232375] equal(sk_c8,inverse(sk_c4)) | equal(sk_c10,sk_c9).
% 252966 [para:248718.1.2,252749.1.2.1,demod:232376] equal(sk_c8,identity) | equal(sk_c10,sk_c9).
% 253028 [para:252966.1.1,251831.1.2.1,demod:231776] equal(sk_c10,sk_c9).
% 253068 [para:253028.1.1,231832.1.1.2,demod:251927,247916,244504] equal(inverse(sk_c8),identity).
% 253095 [para:253068.1.1,232079.1.2.1,demod:231776] equal(X,multiply(sk_c8,X)).
% 253097 [para:232375.1.2,253095.1.2] equal(identity,sk_c8).
% 253102 [para:253097.1.2,231828.1.2,demod:232377,253068,251927,247916,244504,cut:231775,cut:253028] $spltprd0($spltcnst26).
% 253110 [binary:231825,253102,cut:233437,cut:252238,cut:252234] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 78
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 14190
% derived clauses: 1445206
% kept clauses: 81995
% kept size sum: 290293
% kept mid-nuclei: 129144
% kept new demods: 917
% forw unit-subs: 287234
% forw double-subs: 827423
% forw overdouble-subs: 67316
% backward subs: 8510
% fast unit cutoff: 16527
% full unit cutoff: 0
% dbl unit cutoff: 26507
% real runtime : 100.33
% process. runtime: 99.83
% specific non-discr-tree subsumption statistics:
% tried: 17677658
% length fails: 1768374
% strength fails: 4570027
% predlist fails: 1235405
% aux str. fails: 3648789
% by-lit fails: 4160926
% full subs tried: 415120
% full subs fail: 367290
%
% ; 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/GRP385-1+eq_r.in")
%
%------------------------------------------------------------------------------