TSTP Solution File: GRP319-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : GRP319-1 : 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 : art06.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 118.9s
% Output   : Assurance 118.9s
% 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/GRP319-1+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(multiply(sk_c8,sk_c9),sk_c7) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c8) | -equal(multiply(sk_c9,Y),sk_c8) | -equal(multiply(Z,sk_c9),Y) | -equal(inverse(Z),sk_c9) | -equal(multiply(U,sk_c9),sk_c8) | -equal(inverse(U),sk_c9) | -equal(multiply(V,sk_c8),sk_c7) | -equal(inverse(V),sk_c8) | -equal(inverse(W),sk_c7) | -equal(multiply(W,sk_c9),sk_c7).
% was split for some strategies as: 
% -equal(inverse(W),sk_c7) | -equal(multiply(W,sk_c9),sk_c7).
% -equal(multiply(V,sk_c8),sk_c7) | -equal(inverse(V),sk_c8).
% -equal(multiply(U,sk_c9),sk_c8) | -equal(inverse(U),sk_c9).
% -equal(multiply(sk_c9,Y),sk_c8) | -equal(multiply(Z,sk_c9),Y) | -equal(inverse(Z),sk_c9).
% -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c8).
% -equal(multiply(sk_c8,sk_c9),sk_c7).
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% **** EMPTY CLAUSE DERIVED ****
% By given clause simplification.
% 
% 
% timer checkpoints: c(41,40,0,88,0,0,8242,50,134,8289,0,134,16582,50,244,16629,0,244,24991,50,328,25038,0,328,33438,50,417,33485,0,417,41924,50,513,41971,0,513,50466,50,622,50513,0,622,59064,50,750,59064,40,750,59111,0,750,70019,3,1051,70673,4,1201,71309,5,1351,71310,1,1351,71310,50,1351,71310,40,1351,71357,0,1351,71703,3,1666,71712,4,1809,71732,5,1952,71732,1,1952,71732,50,1952,71732,40,1952,71779,0,1952,98275,3,3454,99138,4,4203,99666,1,4953,99666,50,4954,99666,40,4954,99713,0,4954,117700,3,5706,118239,4,6080,119008,5,6455,119009,1,6455,119009,50,6455,119009,40,6455,119056,0,6455,136825,3,7214,137375,4,7581,138322,5,7956,138323,1,7956,138323,50,7957,138323,40,7957,138370,0,7957,210189,3,11860)
% 
% 
% START OF PROOF
% 138324 [] equal(X,X).
% 138325 [] equal(multiply(identity,X),X).
% 138326 [] equal(multiply(inverse(X),X),identity).
% 138327 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 138329 [] equal(multiply(sk_c6,sk_c9),sk_c7) | equal(inverse(sk_c2),sk_c9).
% 138330 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c6),sk_c7).
% 138331 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c5),sk_c8).
% 138332 [] equal(multiply(sk_c5,sk_c8),sk_c7) | equal(inverse(sk_c2),sk_c9).
% 138333 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c4),sk_c9).
% 138334 [] equal(multiply(sk_c4,sk_c9),sk_c8) | equal(inverse(sk_c2),sk_c9).
% 138335 [] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(multiply(sk_c6,sk_c9),sk_c7).
% 138336 [] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(inverse(sk_c6),sk_c7).
% 138337 [] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(inverse(sk_c5),sk_c8).
% 138338 [] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(multiply(sk_c5,sk_c8),sk_c7).
% 138339 [] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(inverse(sk_c4),sk_c9).
% 138340 [] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(multiply(sk_c4,sk_c9),sk_c8).
% 138341 [] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(multiply(sk_c6,sk_c9),sk_c7).
% 138342 [] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(inverse(sk_c6),sk_c7).
% 138343 [] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 138344 [] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(multiply(sk_c5,sk_c8),sk_c7).
% 138345 [] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(inverse(sk_c4),sk_c9).
% 138346 [] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(multiply(sk_c4,sk_c9),sk_c8).
% 138347 [] equal(multiply(sk_c6,sk_c9),sk_c7) | equal(inverse(sk_c1),sk_c8).
% 138348 [] equal(inverse(sk_c1),sk_c8) | equal(inverse(sk_c6),sk_c7).
% 138349 [] equal(inverse(sk_c1),sk_c8) | equal(inverse(sk_c5),sk_c8).
% 138350 [] equal(multiply(sk_c5,sk_c8),sk_c7) | equal(inverse(sk_c1),sk_c8).
% 138351 [] equal(inverse(sk_c1),sk_c8) | equal(inverse(sk_c4),sk_c9).
% 138352 [] equal(multiply(sk_c4,sk_c9),sk_c8) | equal(inverse(sk_c1),sk_c8).
% 138353 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(multiply(sk_c6,sk_c9),sk_c7).
% 138354 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(inverse(sk_c6),sk_c7).
% 138355 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(inverse(sk_c5),sk_c8).
% 138356 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(multiply(sk_c5,sk_c8),sk_c7).
% 138357 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(inverse(sk_c4),sk_c9).
% 138358 [] equal(multiply(sk_c1,sk_c8),sk_c9) | equal(multiply(sk_c4,sk_c9),sk_c8).
% 138359 [] equal(multiply(sk_c8,sk_c9),sk_c7) | equal(multiply(sk_c6,sk_c9),sk_c7).
% 138360 [] equal(multiply(sk_c8,sk_c9),sk_c7) | equal(inverse(sk_c6),sk_c7).
% 138361 [] equal(multiply(sk_c8,sk_c9),sk_c7) | equal(inverse(sk_c5),sk_c8).
% 138362 [] equal(multiply(sk_c8,sk_c9),sk_c7) | equal(multiply(sk_c5,sk_c8),sk_c7).
% 138363 [] equal(multiply(sk_c8,sk_c9),sk_c7) | equal(inverse(sk_c4),sk_c9).
% 138364 [] equal(multiply(sk_c8,sk_c9),sk_c7) | equal(multiply(sk_c4,sk_c9),sk_c8).
% 138365 [] -equal(multiply(sk_c8,sk_c9),sk_c7) | $spltprd0($spltcnst31) | -equal(multiply(X,sk_c9),sk_c7) | -equal(inverse(X),sk_c7).
% 138366 [] $spltprd0($spltcnst32) | -equal(multiply(X,sk_c8),sk_c7) | -equal(inverse(X),sk_c8).
% 138367 [] $spltprd0($spltcnst33) | -equal(multiply(X,sk_c9),sk_c8) | -equal(inverse(X),sk_c9).
% 138368 [] $spltprd0($spltcnst34) | -equal(multiply(sk_c9,X),sk_c8) | -equal(multiply(Y,sk_c9),X) | -equal(inverse(Y),sk_c9).
% 138369 [] $spltprd0($spltcnst35) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c8).
% 138370 [] -$spltprd0($spltcnst32) | -$spltprd0($spltcnst31) | -$spltprd0($spltcnst33) | -$spltprd0($spltcnst35) | -$spltprd0($spltcnst34).
% 138374 [input:138365,factor] -equal(multiply(sk_c8,sk_c9),sk_c7) | -equal(inverse(sk_c8),sk_c7) | $spltprd0($spltcnst31).
% 138378 [para:138330.2.1,138326.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | equal(inverse(sk_c2),sk_c9).
% 138384 [para:138333.1.1,138326.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(inverse(sk_c4),sk_c9).
% 138385 [para:138333.2.1,138326.1.1.1] equal(multiply(sk_c9,sk_c4),identity) | equal(inverse(sk_c2),sk_c9).
% 138388 [para:138348.2.1,138326.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | equal(inverse(sk_c1),sk_c8).
% 138391 [para:138349.2.1,138326.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | equal(inverse(sk_c1),sk_c8).
% 138445 [para:138384.2.1,138326.1.1.1] equal(multiply(sk_c9,sk_c4),identity) | equal(multiply(sk_c9,sk_c2),identity).
% 138481 [para:138325.1.1,138366.2.1] -equal(inverse(identity),sk_c8) | -equal(sk_c8,sk_c7) | $spltprd0($spltcnst32).
% 138483 [para:138332.1.1,138366.2.1,cut:138324] -equal(inverse(sk_c5),sk_c8) | equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst32).
% 138484 [para:138350.1.1,138366.2.1,cut:138324] -equal(inverse(sk_c5),sk_c8) | equal(inverse(sk_c1),sk_c8) | $spltprd0($spltcnst32).
% 138485 [para:138338.2.1,138366.2.1,cut:138324] equal(multiply(sk_c2,sk_c9),sk_c3) | -equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst32).
% 138492 [para:138344.2.1,138366.2.1,cut:138324] equal(multiply(sk_c9,sk_c3),sk_c8) | -equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst32).
% 138495 [para:138356.2.1,138366.2.1,cut:138324] equal(multiply(sk_c1,sk_c8),sk_c9) | -equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst32).
% 138497 [para:138362.2.1,138366.2.1,cut:138324] equal(multiply(sk_c8,sk_c9),sk_c7) | -equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst32).
% 138505 [para:138325.1.1,138367.2.1] -equal(inverse(identity),sk_c9) | -equal(sk_c9,sk_c8) | $spltprd0($spltcnst33).
% 138508 [para:138334.1.1,138367.2.1,cut:138324] -equal(inverse(sk_c4),sk_c9) | equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst33).
% 138518 [para:138352.1.1,138367.2.1,cut:138324] -equal(inverse(sk_c4),sk_c9) | equal(inverse(sk_c1),sk_c8) | $spltprd0($spltcnst33).
% 138523 [para:138340.2.1,138367.2.1,cut:138324] equal(multiply(sk_c2,sk_c9),sk_c3) | -equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst33).
% 138526 [para:138346.2.1,138367.2.1,cut:138324] equal(multiply(sk_c9,sk_c3),sk_c8) | -equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst33).
% 138528 [para:138358.2.1,138367.2.1,cut:138324] equal(multiply(sk_c1,sk_c8),sk_c9) | -equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst33).
% 138543 [para:138331.2.1,138483.1.1,cut:138324] equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst32).
% 138545 [para:138342.1.1,138368.2.1,cut:138324] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst34) | -equal(multiply(X,sk_c9),sk_c3) | -equal(inverse(X),sk_c9).
% 138546 [para:138343.1.1,138368.2.1,cut:138324] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst34) | -equal(multiply(X,sk_c9),sk_c3) | -equal(inverse(X),sk_c9).
% 138547 [para:138345.1.1,138368.2.1,cut:138324] equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst34) | -equal(multiply(X,sk_c9),sk_c3) | -equal(inverse(X),sk_c9).
% 138550 [para:138341.1.1,138368.2.1,cut:138324] equal(multiply(sk_c6,sk_c9),sk_c7) | $spltprd0($spltcnst34) | -equal(multiply(X,sk_c9),sk_c3) | -equal(inverse(X),sk_c9).
% 138553 [para:138344.1.1,138368.2.1,cut:138324] equal(multiply(sk_c5,sk_c8),sk_c7) | $spltprd0($spltcnst34) | -equal(multiply(X,sk_c9),sk_c3) | -equal(inverse(X),sk_c9).
% 138554 [para:138346.1.1,138368.2.1,cut:138324] equal(multiply(sk_c4,sk_c9),sk_c8) | $spltprd0($spltcnst34) | -equal(multiply(X,sk_c9),sk_c3) | -equal(inverse(X),sk_c9).
% 138566 [para:138349.2.1,138484.1.1,cut:138324] equal(inverse(sk_c1),sk_c8) | $spltprd0($spltcnst32).
% 138579 [para:138354.1.1,138369.2.1,cut:138324,binarycut:138348] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst35).
% 138581 [para:138355.1.1,138369.2.1,cut:138324,binarycut:138349] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst35).
% 138586 [para:138353.1.1,138369.2.1,cut:138324] equal(multiply(sk_c6,sk_c9),sk_c7) | -equal(inverse(sk_c1),sk_c8) | $spltprd0($spltcnst35).
% 138587 [para:138356.1.1,138369.2.1,cut:138324] equal(multiply(sk_c5,sk_c8),sk_c7) | -equal(inverse(sk_c1),sk_c8) | $spltprd0($spltcnst35).
% 138596 [para:138579.1.1,138326.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | $spltprd0($spltcnst35).
% 138597 [para:138326.1.1,138327.1.1.1,demod:138325] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 138620 [para:138340.2.1,138327.1.1.1] equal(multiply(sk_c2,sk_c9),sk_c3) | equal(multiply(sk_c8,X),multiply(sk_c4,multiply(sk_c9,X))).
% 138635 [para:138346.2.1,138327.1.1.1] equal(multiply(sk_c9,sk_c3),sk_c8) | equal(multiply(sk_c8,X),multiply(sk_c4,multiply(sk_c9,X))).
% 138651 [para:138364.2.1,138327.1.1.1] equal(multiply(sk_c8,sk_c9),sk_c7) | equal(multiply(sk_c8,X),multiply(sk_c4,multiply(sk_c9,X))).
% 138691 [para:138326.1.1,138597.1.2.2] equal(X,multiply(inverse(inverse(X)),identity)).
% 138692 [para:138329.1.1,138597.1.2.2] equal(sk_c9,multiply(inverse(sk_c6),sk_c7)) | equal(inverse(sk_c2),sk_c9).
% 138783 [para:138327.1.1,138597.1.2.2] equal(X,multiply(inverse(multiply(Y,Z)),multiply(Y,multiply(Z,X)))).
% 138788 [para:138597.1.2,138597.1.2.2] equal(multiply(X,Y),multiply(inverse(inverse(X)),Y)).
% 138854 [para:138359.1.1,138374.1.1,cut:138324] equal(multiply(sk_c6,sk_c9),sk_c7) | -equal(inverse(sk_c8),sk_c7) | $spltprd0($spltcnst31).
% 138855 [para:138362.1.1,138374.1.1,cut:138324] equal(multiply(sk_c5,sk_c8),sk_c7) | -equal(inverse(sk_c8),sk_c7) | $spltprd0($spltcnst31).
% 138883 [para:138788.1.2,138326.1.1] equal(multiply(X,inverse(X)),identity).
% 138896 [para:138329.2.1,138788.1.2.1.1] equal(multiply(sk_c6,sk_c9),sk_c7) | equal(multiply(sk_c2,X),multiply(inverse(sk_c9),X)).
% 138897 [para:138332.2.1,138788.1.2.1.1] equal(multiply(sk_c5,sk_c8),sk_c7) | equal(multiply(sk_c2,X),multiply(inverse(sk_c9),X)).
% 138898 [para:138334.2.1,138788.1.2.1.1] equal(multiply(sk_c4,sk_c9),sk_c8) | equal(multiply(sk_c2,X),multiply(inverse(sk_c9),X)).
% 138929 [para:138788.1.2,138597.1.2] equal(X,multiply(Y,multiply(inverse(Y),X))).
% 138930 [para:138788.1.2,138691.1.2] equal(X,multiply(X,identity)).
% 138931 [para:138930.1.2,138326.1.1] equal(inverse(identity),identity).
% 138933 [para:138930.1.2,138691.1.2] equal(X,inverse(inverse(X))).
% 138945 [para:138931.1.1,138505.1.1] -equal(sk_c9,sk_c8) | -equal(identity,sk_c9) | $spltprd0($spltcnst33).
% 138949 [para:138331.2.1,138933.1.2.1] equal(sk_c5,inverse(sk_c8)) | equal(inverse(sk_c2),sk_c9).
% 138954 [para:138349.1.1,138933.1.2.1] equal(sk_c1,inverse(sk_c8)) | equal(inverse(sk_c5),sk_c8).
% 138955 [para:138349.2.1,138933.1.2.1] equal(sk_c5,inverse(sk_c8)) | equal(inverse(sk_c1),sk_c8).
% 138956 [para:138351.1.1,138933.1.2.1] equal(sk_c1,inverse(sk_c8)) | equal(inverse(sk_c4),sk_c9).
% 138994 [para:138330.1.1,138883.1.1.2] equal(multiply(sk_c2,sk_c9),identity) | equal(inverse(sk_c6),sk_c7).
% 138996 [para:138331.1.1,138883.1.1.2] equal(multiply(sk_c2,sk_c9),identity) | equal(inverse(sk_c5),sk_c8).
% 138997 [para:138331.2.1,138883.1.1.2] equal(multiply(sk_c5,sk_c8),identity) | equal(inverse(sk_c2),sk_c9).
% 138998 [para:138333.1.1,138883.1.1.2] equal(multiply(sk_c2,sk_c9),identity) | equal(inverse(sk_c4),sk_c9).
% 139000 [para:138348.1.1,138883.1.1.2] equal(multiply(sk_c1,sk_c8),identity) | equal(inverse(sk_c6),sk_c7).
% 139002 [para:138349.1.1,138883.1.1.2] equal(multiply(sk_c1,sk_c8),identity) | equal(inverse(sk_c5),sk_c8).
% 139003 [para:138349.2.1,138883.1.1.2] equal(multiply(sk_c5,sk_c8),identity) | equal(inverse(sk_c1),sk_c8).
% 139004 [para:138351.1.1,138883.1.1.2] equal(multiply(sk_c1,sk_c8),identity) | equal(inverse(sk_c4),sk_c9).
% 139005 [para:138351.2.1,138883.1.1.2] equal(multiply(sk_c4,sk_c9),identity) | equal(inverse(sk_c1),sk_c8).
% 139037 [para:138543.1.1,138883.1.1.2] equal(multiply(sk_c2,sk_c9),identity) | $spltprd0($spltcnst32).
% 139038 [para:138566.1.1,138883.1.1.2] equal(multiply(sk_c1,sk_c8),identity) | $spltprd0($spltcnst32).
% 139041 [para:138581.1.1,138883.1.1.2] equal(multiply(sk_c5,sk_c8),identity) | $spltprd0($spltcnst35).
% 139153 [para:139041.1.1,138369.2.1,binarycut:138581] -equal(identity,sk_c9) | $spltprd0($spltcnst35).
% 139307 [para:138954.2.1,138691.1.2.1.1,demod:138930] equal(sk_c5,inverse(sk_c8)) | equal(sk_c1,inverse(sk_c8)).
% 139907 [para:138994.1.1,138336.1.1] equal(inverse(sk_c6),sk_c7) | equal(identity,sk_c3).
% 139923 [para:139907.2.2,138342.1.1.2,demod:138930] equal(inverse(sk_c6),sk_c7) | equal(sk_c9,sk_c8).
% 140161 [para:138337.2.1,138485.2.1,cut:138324] equal(multiply(sk_c2,sk_c9),sk_c3) | $spltprd0($spltcnst32).
% 140204 [para:139037.1.1,140161.1.1] equal(identity,sk_c3) | $spltprd0($spltcnst32).
% 140206 [para:138343.2.1,138492.2.1,cut:138324] equal(multiply(sk_c9,sk_c3),sk_c8) | $spltprd0($spltcnst32).
% 140384 [para:138355.2.1,138495.2.1,cut:138324] equal(multiply(sk_c1,sk_c8),sk_c9) | $spltprd0($spltcnst32).
% 140418 [para:138361.2.1,138497.2.1,cut:138324] equal(multiply(sk_c8,sk_c9),sk_c7) | $spltprd0($spltcnst32).
% 140458 [para:140384.1.1,139038.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst32).
% 140528 [para:140458.1.1,140206.1.1.1,demod:138325] equal(sk_c3,sk_c8) | $spltprd0($spltcnst32).
% 140663 [para:138333.2.1,138508.1.1,cut:138324] equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst33).
% 140682 [para:140528.1.2,138481.1.2,demod:138931,binarycut:140204] -equal(sk_c8,sk_c7) | $spltprd0($spltcnst32).
% 140856 [para:138351.2.1,138518.1.1,cut:138324] equal(inverse(sk_c1),sk_c8) | $spltprd0($spltcnst33).
% 140871 [para:140663.1.1,138883.1.1.2] equal(multiply(sk_c2,sk_c9),identity) | $spltprd0($spltcnst33).
% 140996 [para:138339.2.1,138523.2.1,cut:138324] equal(multiply(sk_c2,sk_c9),sk_c3) | $spltprd0($spltcnst33).
% 141049 [para:138345.2.1,138526.2.1,cut:138324] equal(multiply(sk_c9,sk_c3),sk_c8) | $spltprd0($spltcnst33).
% 141075 [para:140856.1.1,138883.1.1.2] equal(multiply(sk_c1,sk_c8),identity) | $spltprd0($spltcnst33).
% 141085 [para:138357.2.1,138528.2.1,cut:138324] equal(multiply(sk_c1,sk_c8),sk_c9) | $spltprd0($spltcnst33).
% 141345 [para:138336.1.1,138545.3.1,cut:138324,binarycut:138330] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst34).
% 141353 [para:141345.1.1,138691.1.2.1.1,demod:138930] equal(sk_c6,inverse(sk_c7)) | $spltprd0($spltcnst34).
% 141365 [para:138337.1.1,138546.3.1,cut:138324,binarycut:138331] equal(inverse(sk_c5),sk_c8) | $spltprd0($spltcnst34).
% 141371 [para:141365.1.1,138883.1.1.2] equal(multiply(sk_c5,sk_c8),identity) | $spltprd0($spltcnst34).
% 141417 [para:138339.1.1,138547.3.1,cut:138324,binarycut:138333] equal(inverse(sk_c4),sk_c9) | $spltprd0($spltcnst34).
% 141433 [para:141417.1.1,138691.1.2.1.1,demod:138930] equal(sk_c4,inverse(sk_c9)) | $spltprd0($spltcnst34).
% 141438 [para:141433.1.2,138691.1.2.1.1,demod:138930] equal(sk_c9,inverse(sk_c4)) | $spltprd0($spltcnst34).
% 141559 [para:140458.1.1,140418.1.1.2,demod:138930,binarycut:140682] $spltprd0($spltcnst32).
% 141607 [para:138347.2.1,138586.2.1,cut:138324] equal(multiply(sk_c6,sk_c9),sk_c7) | $spltprd0($spltcnst35).
% 141612 [para:138350.2.1,138587.2.1,cut:138324] equal(multiply(sk_c5,sk_c8),sk_c7) | $spltprd0($spltcnst35).
% 141620 [para:140996.1.1,140871.1.1] equal(sk_c3,identity) | $spltprd0($spltcnst33).
% 141647 [para:141620.1.1,141049.1.1.2,demod:138930] equal(sk_c9,sk_c8) | $spltprd0($spltcnst33).
% 141688 [para:141647.1.2,138945.1.2,cut:138324] -equal(identity,sk_c9) | $spltprd0($spltcnst33).
% 141997 [para:141075.1.1,141085.1.1,binarycut:141688] $spltprd0($spltcnst33).
% 142294 [para:141612.1.1,139041.1.1] equal(sk_c7,identity) | $spltprd0($spltcnst35).
% 142295 [para:139041.1.1,141612.1.1] equal(identity,sk_c7) | $spltprd0($spltcnst35).
% 142318 [para:142294.1.1,138596.1.1.1,demod:138325] equal(sk_c6,identity) | $spltprd0($spltcnst35).
% 142339 [para:142318.1.1,141607.1.1.1,demod:138325] equal(sk_c9,sk_c7) | $spltprd0($spltcnst35).
% 142368 [para:142339.1.1,139153.1.2,binarycut:142295] $spltprd0($spltcnst35).
% 142560 [binary:138370,141559,cut:142368,cut:141997] -$spltprd0($spltcnst34) | -$spltprd0($spltcnst31).
% 143257 [para:138996.1.1,138337.1.1] equal(inverse(sk_c5),sk_c8) | equal(identity,sk_c3).
% 143267 [para:143257.2.2,138343.1.1.2,demod:138930] equal(inverse(sk_c5),sk_c8) | equal(sk_c9,sk_c8).
% 143289 [para:143267.1.1,138691.1.2.1.1,demod:138930] equal(sk_c5,inverse(sk_c8)) | equal(sk_c9,sk_c8).
% 143361 [para:139307.2.2,143289.2.2.1] equal(sk_c1,inverse(sk_c9)) | equal(sk_c5,inverse(sk_c8)).
% 144056 [para:138997.1.1,138332.1.1] equal(inverse(sk_c2),sk_c9) | equal(identity,sk_c7).
% 144064 [para:144056.2.2,138378.1.1.1,demod:138325] equal(inverse(sk_c2),sk_c9) | equal(sk_c6,identity).
% 144074 [para:144056.1.1,138883.1.1.2] equal(multiply(sk_c2,sk_c9),identity) | equal(identity,sk_c7).
% 144078 [para:144056.2.2,138692.1.2.2,demod:138930] equal(sk_c9,inverse(sk_c6)) | equal(inverse(sk_c2),sk_c9).
% 144421 [para:144064.2.1,144078.1.2.1,demod:138931] equal(inverse(sk_c2),sk_c9) | equal(sk_c9,identity).
% 144433 [para:144421.2.1,138334.1.1.2,demod:138930] equal(inverse(sk_c2),sk_c9) | equal(sk_c4,sk_c8).
% 144434 [para:144421.2.1,138385.1.1.1,demod:138325] equal(inverse(sk_c2),sk_c9) | equal(sk_c4,identity).
% 144516 [para:144433.2.2,138949.1.2.1] equal(sk_c5,inverse(sk_c4)) | equal(inverse(sk_c2),sk_c9).
% 144533 [para:138333.2.1,144434.2.1.1,demod:138931] equal(inverse(sk_c2),sk_c9) | equal(identity,sk_c9).
% 144534 [para:144434.2.1,138334.1.1.1,demod:138325] equal(inverse(sk_c2),sk_c9) | equal(sk_c9,sk_c8).
% 144730 [para:144533.1.1,138691.1.2.1.1,demod:138930] equal(sk_c2,inverse(sk_c9)) | equal(identity,sk_c9).
% 144750 [para:144534.1.1,138691.1.2.1.1,demod:138930] equal(sk_c2,inverse(sk_c9)) | equal(sk_c9,sk_c8).
% 146172 [para:144434.2.1,144516.1.2.1,demod:138931] equal(inverse(sk_c2),sk_c9) | equal(sk_c5,identity).
% 146241 [para:138331.2.1,146172.2.1.1,demod:138931] equal(inverse(sk_c2),sk_c9) | equal(identity,sk_c8).
% 146242 [para:146172.2.1,138332.1.1.1,demod:138325] equal(inverse(sk_c2),sk_c9) | equal(sk_c8,sk_c7).
% 146489 [para:146241.1.1,138691.1.2.1.1,demod:138930] equal(sk_c2,inverse(sk_c9)) | equal(identity,sk_c8).
% 146507 [para:146242.1.1,138691.1.2.1.1,demod:138930] equal(sk_c2,inverse(sk_c9)) | equal(sk_c8,sk_c7).
% 154767 [para:138326.1.1,138783.1.2.2,demod:138930] equal(X,inverse(multiply(inverse(multiply(Y,X)),Y))).
% 154768 [para:138326.1.1,138783.1.2.2.2,demod:138930] equal(X,multiply(inverse(multiply(Y,inverse(X))),Y)).
% 154888 [para:138883.1.1,138783.1.2.2.2,demod:138930] equal(inverse(X),multiply(inverse(multiply(Y,X)),Y)).
% 157278 [para:154767.1.2,154767.1.2.1.1] equal(X,inverse(multiply(Y,inverse(multiply(X,Y))))).
% 157578 [para:144074.1.1,154888.1.2.1.1,demod:138325,138931] equal(inverse(sk_c9),sk_c2) | equal(identity,sk_c7).
% 157677 [para:154767.1.2,154888.1.2.1] equal(inverse(X),multiply(Y,inverse(multiply(X,Y)))).
% 163788 [para:138998.1.1,138339.1.1] equal(inverse(sk_c4),sk_c9) | equal(identity,sk_c3).
% 163975 [para:163788.2.2,138345.1.1.2,demod:138930] equal(inverse(sk_c4),sk_c9) | equal(sk_c9,sk_c8).
% 163997 [para:163975.1.1,138691.1.2.1.1,demod:138930] equal(sk_c4,inverse(sk_c9)) | equal(sk_c9,sk_c8).
% 164001 [para:163975.2.2,138956.1.2.1] equal(sk_c1,inverse(sk_c9)) | equal(inverse(sk_c4),sk_c9).
% 164540 [para:138896.2.2,138550.3.1,demod:138933,cut:138324,binarycut:138335] equal(multiply(sk_c6,sk_c9),sk_c7) | $spltprd0($spltcnst34).
% 164657 [para:163997.1.2,144750.1.2] equal(sk_c2,sk_c4) | equal(sk_c9,sk_c8).
% 164658 [para:144750.1.2,163997.1.2] equal(sk_c4,sk_c2) | equal(sk_c9,sk_c8).
% 165003 [para:138897.2.2,138553.3.1,demod:138933,cut:138324,binarycut:138338] equal(multiply(sk_c5,sk_c8),sk_c7) | $spltprd0($spltcnst34).
% 165048 [para:138898.2.2,138554.3.1,demod:138933,cut:138324,binarycut:138340] equal(multiply(sk_c4,sk_c9),sk_c8) | $spltprd0($spltcnst34).
% 165229 [para:165003.1.1,141371.1.1] equal(sk_c7,identity) | $spltprd0($spltcnst34).
% 165277 [para:165229.1.1,141353.1.2.1,demod:138931] equal(sk_c6,identity) | $spltprd0($spltcnst34).
% 165371 [para:165277.1.1,164540.1.1.1,demod:138325] equal(sk_c9,sk_c7) | $spltprd0($spltcnst34).
% 165477 [para:165371.1.1,141433.1.2.1] equal(sk_c4,inverse(sk_c7)) | $spltprd0($spltcnst34).
% 165804 [para:165229.1.1,165477.1.2.1,demod:138931] equal(sk_c4,identity) | $spltprd0($spltcnst34).
% 166064 [para:165804.1.1,141417.1.1.1,demod:138931] equal(identity,sk_c9) | $spltprd0($spltcnst34).
% 166065 [para:165804.1.1,141438.1.2.1,demod:138931] equal(sk_c9,identity) | $spltprd0($spltcnst34).
% 169340 [para:165804.1.1,165048.1.1.1,demod:138325] equal(sk_c9,sk_c8) | $spltprd0($spltcnst34).
% 169778 [para:138930.1.2,138368.2.1,binarycut:169340] $spltprd0($spltcnst34) | -equal(multiply(X,sk_c9),identity) | -equal(inverse(X),sk_c9).
% 169780 [para:138325.1.1,169778.2.1,demod:138931,binarycut:166064,binarycut:166065] $spltprd0($spltcnst34).
% 169781 [binary:142560,169780] -$spltprd0($spltcnst31).
% 169826 [para:139000.1.1,138354.1.1] equal(inverse(sk_c6),sk_c7) | equal(identity,sk_c9).
% 169837 [para:139002.1.1,138355.1.1] equal(inverse(sk_c5),sk_c8) | equal(identity,sk_c9).
% 169842 [para:139003.1.1,138350.1.1] equal(inverse(sk_c1),sk_c8) | equal(identity,sk_c7).
% 169856 [para:139004.1.1,138357.1.1] equal(inverse(sk_c4),sk_c9) | equal(identity,sk_c9).
% 169862 [para:139005.1.1,138352.1.1] equal(inverse(sk_c1),sk_c8) | equal(identity,sk_c8).
% 170047 [para:169826.2.2,138360.1.1.2,demod:138930] equal(inverse(sk_c6),sk_c7) | equal(sk_c8,sk_c7).
% 170082 [para:169837.2.2,138361.1.1.2,demod:138930] equal(inverse(sk_c5),sk_c8) | equal(sk_c8,sk_c7).
% 170088 [para:169837.1.1,138691.1.2.1.1,demod:138930] equal(sk_c5,inverse(sk_c8)) | equal(identity,sk_c9).
% 170144 [para:169842.2.2,138388.1.1.1,demod:138325] equal(inverse(sk_c1),sk_c8) | equal(sk_c6,identity).
% 170172 [para:169856.2.2,138363.1.1.2,demod:138930] equal(inverse(sk_c4),sk_c9) | equal(sk_c8,sk_c7).
% 170178 [para:169856.1.1,138691.1.2.1.1,demod:138930] equal(sk_c4,inverse(sk_c9)) | equal(identity,sk_c9).
% 170237 [para:169862.2.2,138350.1.1.2,demod:138930] equal(inverse(sk_c1),sk_c8) | equal(sk_c5,sk_c7).
% 170238 [para:169862.2.2,138391.1.1.1,demod:138325] equal(inverse(sk_c1),sk_c8) | equal(sk_c5,identity).
% 170243 [para:169862.1.1,138691.1.2.1.1,demod:138930] equal(sk_c1,inverse(sk_c8)) | equal(identity,sk_c8).
% 170321 [para:139923.2.1,170047.2.2] equal(inverse(sk_c6),sk_c7) | equal(sk_c9,sk_c7).
% 170529 [para:170082.1.1,138691.1.2.1.1,demod:138930] equal(sk_c5,inverse(sk_c8)) | equal(sk_c8,sk_c7).
% 170630 [para:170088.2.2,143361.1.2.1,demod:138931] equal(sk_c5,inverse(sk_c8)) | equal(sk_c1,identity).
% 170715 [para:170144.2.1,138347.1.1.1,demod:138325] equal(inverse(sk_c1),sk_c8) | equal(sk_c9,sk_c7).
% 171015 [para:170172.1.1,138691.1.2.1.1,demod:138930] equal(sk_c4,inverse(sk_c9)) | equal(sk_c8,sk_c7).
% 171141 [para:170178.1.2,144730.1.2] equal(sk_c2,sk_c4) | equal(identity,sk_c9).
% 171870 [para:170237.1.1,138691.1.2.1.1,demod:138930] equal(sk_c1,inverse(sk_c8)) | equal(sk_c5,sk_c7).
% 171886 [para:170238.2.1,138350.1.1.1,demod:138325] equal(inverse(sk_c1),sk_c8) | equal(sk_c8,sk_c7).
% 172796 [para:143289.2.1,170529.2.2] equal(sk_c5,inverse(sk_c8)) | equal(sk_c9,sk_c7).
% 173033 [para:138955.2.1,170630.2.1.1,demod:138931] equal(sk_c5,inverse(sk_c8)) | equal(identity,sk_c8).
% 173232 [para:170715.1.1,138691.1.2.1.1,demod:138930] equal(sk_c1,inverse(sk_c8)) | equal(sk_c9,sk_c7).
% 174502 [para:171015.1.2,146507.1.2] equal(sk_c2,sk_c4) | equal(sk_c8,sk_c7).
% 174503 [para:146507.1.2,171015.1.2] equal(sk_c4,sk_c2) | equal(sk_c8,sk_c7).
% 174726 [para:164657.2.1,174502.2.2] equal(sk_c9,sk_c7) | equal(sk_c2,sk_c4).
% 174938 [para:164658.2.1,174503.2.2] equal(sk_c9,sk_c7) | equal(sk_c4,sk_c2).
% 175532 [para:171141.1.1,174726.2.2] equal(identity,sk_c7) | equal(sk_c2,sk_c4).
% 177401 [para:171886.1.1,138691.1.2.1.1,demod:138930] equal(sk_c1,inverse(sk_c8)) | equal(sk_c8,sk_c7).
% 179789 [para:170243.1.2,173033.1.2] equal(sk_c5,sk_c1) | equal(identity,sk_c8).
% 180519 [para:173232.1.2,172796.1.2] equal(sk_c5,sk_c1) | equal(sk_c9,sk_c7).
% 183547 [para:177401.1.2,170529.1.2] equal(sk_c5,sk_c1) | equal(sk_c8,sk_c7).
% 183791 [para:179789.2.1,183547.2.2] equal(identity,sk_c7) | equal(sk_c5,sk_c1).
% 187771 [para:169856.2.2,164001.1.2.1,demod:138931] equal(inverse(sk_c4),sk_c9) | equal(sk_c1,identity).
% 187795 [para:187771.2.1,138351.1.1.1,demod:138931] equal(inverse(sk_c4),sk_c9) | equal(identity,sk_c8).
% 188351 [para:187795.1.1,138691.1.2.1.1,demod:138930] equal(sk_c4,inverse(sk_c9)) | equal(identity,sk_c8).
% 189658 [para:188351.1.2,146489.1.2] equal(sk_c2,sk_c4) | equal(identity,sk_c8).
% 189659 [para:146489.1.2,188351.1.2] equal(sk_c4,sk_c2) | equal(identity,sk_c8).
% 189706 [para:189658.2.2,138374.1.1.1,demod:138325,cut:169781,binarycut:174726] -equal(inverse(sk_c8),sk_c7) | equal(sk_c2,sk_c4).
% 189799 [para:189659.2.2,138374.1.1.1,demod:138325,cut:169781,binarycut:174938] -equal(inverse(sk_c8),sk_c7) | equal(sk_c4,sk_c2).
% 191176 [para:189658.2.2,189706.1.1.1,demod:138931,binarycut:175532] equal(sk_c2,sk_c4).
% 191179 [para:191176.1.1,138333.1.1.1] equal(inverse(sk_c4),sk_c9).
% 191195 [para:138445.1.1,191176.2.1.2] equal(multiply(sk_c9,sk_c4),identity).
% 191320 [para:191179.1.1,138597.1.2.1] equal(X,multiply(sk_c9,multiply(sk_c4,X))).
% 191321 [para:191179.1.1,138691.1.2.1.1,demod:138930] equal(sk_c4,inverse(sk_c9)).
% 191322 [para:191179.1.1,138883.1.1.2] equal(multiply(sk_c4,sk_c9),identity).
% 191323 [para:191179.1.1,138929.1.2.2.1] equal(X,multiply(sk_c4,multiply(sk_c9,X))).
% 191399 [?] ?
% 191449 [para:180519.2.1,191321.1.2.1] equal(sk_c4,inverse(sk_c7)) | equal(sk_c5,sk_c1).
% 192756 [para:191323.1.2,154888.1.2.1.1] equal(inverse(multiply(sk_c9,X)),multiply(inverse(X),sk_c4)).
% 192822 [para:157578.2.2,189799.1.2,demod:191321,binarycut:191399] equal(sk_c4,sk_c2).
% 192831 [para:192822.1.2,138620.1.1.1,demod:191323,191322] equal(identity,sk_c3) | equal(multiply(sk_c8,X),X).
% 195113 [para:183791.1.2,191449.1.2.1,demod:138931] equal(sk_c4,identity) | equal(sk_c5,sk_c1).
% 195226 [para:195113.1.1,169856.1.1.1,demod:138931] equal(sk_c5,sk_c1) | equal(identity,sk_c9).
% 195229 [para:195113.1.1,191320.1.2.2.1,demod:138325] equal(sk_c5,sk_c1) | equal(X,multiply(sk_c9,X)).
% 195486 [para:195226.2.2,191320.1.2.1,demod:138325] equal(sk_c5,sk_c1) | equal(X,multiply(sk_c4,X)).
% 196743 [para:192831.1.2,138635.1.1.2,demod:191323,138930,factor] equal(sk_c9,sk_c8) | equal(multiply(sk_c8,X),X).
% 196828 [para:195229.2.2,154768.1.2.1.1,demod:138933] equal(sk_c5,sk_c1) | equal(X,multiply(X,sk_c9)).
% 196939 [para:195486.2.2,154768.1.2.1.1,demod:138933] equal(sk_c5,sk_c1) | equal(X,multiply(X,sk_c4)).
% 197413 [para:196743.1.2,138651.1.1.1,demod:191323,factor] equal(multiply(sk_c9,sk_c9),sk_c7) | equal(multiply(sk_c8,X),X).
% 197448 [para:196743.2.1,154768.1.2.1.1,demod:138933] equal(sk_c9,sk_c8) | equal(X,multiply(X,sk_c8)).
% 198457 [para:195486.2.2,196828.2.2] equal(sk_c9,sk_c4) | equal(sk_c5,sk_c1).
% 198944 [para:180519.1.1,198457.2.1] equal(sk_c4,sk_c7) | equal(sk_c5,sk_c1).
% 202940 [para:195229.2.2,197448.2.2] equal(sk_c9,sk_c8) | equal(sk_c5,sk_c1).
% 202987 [para:202940.1.2,138365.1.1.1,cut:169781,factor:binarycut:198944,binarydemod:197413] equal(sk_c5,sk_c1) | equal(multiply(sk_c8,X),X).
% 205229 [para:196939.2.1,202987.2.2] equal(sk_c8,sk_c4) | equal(sk_c5,sk_c1).
% 205323 [para:205229.1.1,138374.1.1.1,demod:191322,cut:169781,binarycut:183791] -equal(inverse(sk_c8),sk_c7) | equal(sk_c5,sk_c1).
% 206027 [para:179789.2.2,205323.1.1.1,demod:138931,binarycut:183791] equal(sk_c5,sk_c1).
% 206029 [para:206027.1.2,138349.1.1.1] equal(inverse(sk_c5),sk_c8).
% 206103 [para:206029.1.1,138691.1.2.1.1,demod:138930] equal(sk_c5,inverse(sk_c8)).
% 206104 [para:206029.1.1,138883.1.1.2] equal(multiply(sk_c5,sk_c8),identity).
% 206120 [para:206103.1.2,138855.2.1,demod:206104,cut:169781] -equal(sk_c5,sk_c7) | equal(identity,sk_c7).
% 206132 [para:206103.1.2,171870.1.2] equal(sk_c1,sk_c5) | equal(sk_c5,sk_c7).
% 206416 [para:206132.1.1,138356.1.1.1,demod:206104,binarycut:206120] equal(identity,sk_c7) | equal(identity,sk_c9).
% 206499 [para:206416.2.2,138338.1.1.2,demod:206104,138930] equal(sk_c2,sk_c3) | equal(identity,sk_c7).
% 206503 [para:206416.2.2,138362.1.1.2,demod:206104,138930] equal(sk_c8,sk_c7) | equal(identity,sk_c7).
% 206811 [para:206499.1.1,191176.1.1] equal(sk_c3,sk_c4) | equal(identity,sk_c7).
% 208174 [?] ?
% 208717 [para:206811.1.1,138344.1.1.2,demod:206104,191195,binarycut:208174] equal(identity,sk_c8).
% 208881 [para:208717.1.2,206103.1.2.1,demod:138931] equal(sk_c5,identity).
% 208882 [para:208717.1.2,206503.1.1] equal(identity,sk_c7).
% 208966 [para:208882.1.2,138854.2.2,demod:206103,cut:208881,cut:169781] equal(multiply(sk_c6,sk_c9),sk_c7).
% 209001 [para:208966.1.1,157278.1.2.1.2.1,demod:138933,192756] equal(sk_c6,multiply(sk_c7,sk_c4)).
% 209049 [para:208882.1.2,209001.1.2.1,demod:138325] equal(sk_c6,sk_c4).
% 209113 [para:209049.1.1,170321.1.1.1,demod:191179] equal(sk_c9,sk_c7).
% 209174 [para:209113.1.1,138651.1.1.2,demod:191323,factor] equal(multiply(sk_c8,sk_c7),sk_c7).
% 209437 [para:209113.1.1,191321.1.2.1] equal(sk_c4,inverse(sk_c7)).
% 209438 [para:209113.1.1,191195.1.1.1,demod:209001] equal(sk_c6,identity).
% 209483 [para:209438.1.1,209049.1.1] equal(identity,sk_c4).
% 209524 [para:209483.1.2,209001.1.2.2,demod:138930] equal(sk_c6,sk_c7).
% 210193 [para:209174.1.1,157677.1.2.2.1,demod:209001,209437,206103] equal(sk_c5,sk_c6).
% 210196 [para:210193.1.2,209524.1.1] equal(sk_c5,sk_c7).
% 210211 [para:208717.1.2,138374.1.1.1,demod:206103,138325,cut:169781,cut:209113,cut:210196] 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
% seconds given: 78
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    13586
%  derived clauses:   2285921
%  kept clauses:      134176
%  kept size sum:     959223
%  kept mid-nuclei:   45056
%  kept new demods:   525
%  forw unit-subs:    706935
%  forw double-subs: 1165858
%  forw overdouble-subs: 154485
%  backward subs:     6524
%  fast unit cutoff:  14019
%  full unit cutoff:  0
%  dbl  unit cutoff:  16478
%  real runtime  :  124.32
%  process. runtime:  123.8
% specific non-discr-tree subsumption statistics: 
%  tried:           6883066
%  length fails:    656211
%  strength fails:  1762822
%  predlist fails:  261136
%  aux str. fails:  1134079
%  by-lit fails:    901708
%  full subs tried: 988075
%  full subs fail:  918002
% 
% ; 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/GRP319-1+eq_r.in")
% 
%------------------------------------------------------------------------------