TSTP Solution File: GRP270-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP270-1 : 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 149.1s
% Output : Assurance 149.1s
% 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/GRP270-1+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 19)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 19)
% (binary-posweight-lex-big-order 30 #f 3 19)
% (binary 30 #t)
% (binary-posweight-kb-big-order 156 #f)
% (binary-posweight-lex-big-order 102 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-order 30 #f)
% (binary-posweight-kb-small-order 48 #f)
% (binary-posweight-lex-small-order 30 #f)
%
%
% SOS clause
% -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7) | -equal(multiply(sk_c7,sk_c5),sk_c6) | -equal(multiply(Y,sk_c7),sk_c5) | -equal(inverse(Y),sk_c7) | -equal(multiply(sk_c6,sk_c7),sk_c5) | -equal(inverse(Z),sk_c7) | -equal(multiply(Z,sk_c6),sk_c7) | -equal(inverse(U),sk_c6) | -equal(multiply(U,sk_c5),sk_c6).
% was split for some strategies as:
% -equal(inverse(U),sk_c6) | -equal(multiply(U,sk_c5),sk_c6).
% -equal(inverse(Z),sk_c7) | -equal(multiply(Z,sk_c6),sk_c7).
% -equal(multiply(Y,sk_c7),sk_c5) | -equal(inverse(Y),sk_c7).
% -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% -equal(multiply(sk_c7,sk_c5),sk_c6).
% -equal(multiply(sk_c6,sk_c7),sk_c5).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(30,40,0,65,0,0,609,50,4,644,0,4,1203,50,8,1238,0,8,1802,50,13,1837,0,13,2407,50,20,2442,0,20,3019,50,26,3054,0,26,3639,50,38,3674,0,38,4267,50,62,4302,0,62,4905,50,113,4940,0,113,5553,50,224,5588,0,224,6213,50,421,6248,0,421,6885,50,791,6885,40,791,6920,0,791,17308,3,1092,18123,4,1242,18859,5,1392,18860,1,1392,18860,50,1392,18860,40,1392,18895,0,1392,19117,3,1701,19126,4,1855,19133,5,1993,19133,1,1993,19133,50,1993,19133,40,1993,19168,0,1993,50465,3,3496,51357,4,4244,52110,5,4994,52111,1,4994,52111,50,4995,52111,40,4995,52146,0,4995,74705,3,5746,75382,4,6121,76057,1,6496,76057,50,6496,76057,40,6496,76092,0,6496,87284,3,7252,88222,4,7622,89409,1,7997,89409,50,7997,89409,40,7997,89444,0,7997,122417,3,11898,123321,4,13848)
%
%
% START OF PROOF
% 89410 [] equal(X,X).
% 89411 [] equal(multiply(identity,X),X).
% 89412 [] equal(multiply(inverse(X),X),identity).
% 89413 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 89415 [] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(inverse(sk_c2),sk_c7).
% 89416 [] equal(inverse(sk_c2),sk_c7) | equal(inverse(sk_c4),sk_c6).
% 89417 [] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(inverse(sk_c2),sk_c7).
% 89418 [] equal(inverse(sk_c2),sk_c7) | equal(inverse(sk_c3),sk_c7).
% 89419 [] equal(multiply(sk_c6,sk_c7),sk_c5) | equal(inverse(sk_c2),sk_c7).
% 89420 [] equal(multiply(sk_c2,sk_c7),sk_c5) | equal(multiply(sk_c4,sk_c5),sk_c6).
% 89421 [] equal(multiply(sk_c2,sk_c7),sk_c5) | equal(inverse(sk_c4),sk_c6).
% 89422 [] equal(multiply(sk_c2,sk_c7),sk_c5) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 89423 [] equal(multiply(sk_c2,sk_c7),sk_c5) | equal(inverse(sk_c3),sk_c7).
% 89424 [] equal(multiply(sk_c2,sk_c7),sk_c5) | equal(multiply(sk_c6,sk_c7),sk_c5).
% 89425 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(multiply(sk_c4,sk_c5),sk_c6).
% 89426 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(inverse(sk_c4),sk_c6).
% 89427 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 89428 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(inverse(sk_c3),sk_c7).
% 89429 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(multiply(sk_c6,sk_c7),sk_c5).
% 89430 [] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(inverse(sk_c1),sk_c7).
% 89431 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c4),sk_c6).
% 89432 [] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(inverse(sk_c1),sk_c7).
% 89433 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c3),sk_c7).
% 89434 [] equal(multiply(sk_c6,sk_c7),sk_c5) | equal(inverse(sk_c1),sk_c7).
% 89435 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(multiply(sk_c4,sk_c5),sk_c6).
% 89436 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(inverse(sk_c4),sk_c6).
% 89437 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 89438 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(inverse(sk_c3),sk_c7).
% 89439 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(multiply(sk_c6,sk_c7),sk_c5).
% 89440 [] -equal(multiply(sk_c7,sk_c5),sk_c6) | -equal(multiply(sk_c6,sk_c7),sk_c5) | $spltprd0($spltcnst25) | -equal(multiply(X,sk_c5),sk_c6) | -equal(inverse(X),sk_c6).
% 89441 [] $spltprd0($spltcnst26) | -equal(multiply(X,sk_c6),sk_c7) | -equal(inverse(X),sk_c7).
% 89442 [] $spltprd0($spltcnst27) | -equal(multiply(X,sk_c7),sk_c5) | -equal(inverse(X),sk_c7).
% 89443 [] $spltprd0($spltcnst28) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 89444 [] -$spltprd0($spltcnst26) | -$spltprd0($spltcnst25) | -$spltprd0($spltcnst28) | -$spltprd0($spltcnst27).
% 89446 [input:89440,factor] -equal(multiply(sk_c7,sk_c5),sk_c6) | -equal(multiply(sk_c6,sk_c7),sk_c5) | -equal(inverse(sk_c7),sk_c6) | $spltprd0($spltcnst25).
% 89519 [para:89412.1.1,89441.2.1] -equal(inverse(inverse(sk_c6)),sk_c7) | -equal(identity,sk_c7) | $spltprd0($spltcnst26).
% 89520 [para:89417.1.1,89441.2.1,cut:89410] -equal(inverse(sk_c3),sk_c7) | equal(inverse(sk_c2),sk_c7) | $spltprd0($spltcnst26).
% 89521 [para:89432.1.1,89441.2.1,cut:89410] -equal(inverse(sk_c3),sk_c7) | equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst26).
% 89522 [para:89422.2.1,89441.2.1,cut:89410] equal(multiply(sk_c2,sk_c7),sk_c5) | -equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst26).
% 89523 [para:89427.2.1,89441.2.1,cut:89410] equal(multiply(sk_c7,sk_c5),sk_c6) | -equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst26).
% 89524 [para:89437.2.1,89441.2.1,cut:89410] equal(multiply(sk_c1,sk_c7),sk_c6) | -equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst26).
% 89529 [para:89418.2.1,89520.1.1,cut:89410] equal(inverse(sk_c2),sk_c7) | $spltprd0($spltcnst26).
% 89531 [para:89529.1.1,89412.1.1.1] equal(multiply(sk_c7,sk_c2),identity) | $spltprd0($spltcnst26).
% 89536 [para:89411.1.1,89442.2.1] -equal(inverse(identity),sk_c7) | -equal(sk_c7,sk_c5) | $spltprd0($spltcnst27).
% 89540 [para:89421.1.1,89442.2.1,cut:89410,binarycut:89416] equal(inverse(sk_c4),sk_c6) | $spltprd0($spltcnst27).
% 89542 [para:89423.1.1,89442.2.1,cut:89410,binarycut:89418] equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst27).
% 89543 [para:89420.1.1,89442.2.1,cut:89410] equal(multiply(sk_c4,sk_c5),sk_c6) | -equal(inverse(sk_c2),sk_c7) | $spltprd0($spltcnst27).
% 89545 [para:89422.1.1,89442.2.1,cut:89410] equal(multiply(sk_c3,sk_c6),sk_c7) | -equal(inverse(sk_c2),sk_c7) | $spltprd0($spltcnst27).
% 89546 [para:89424.1.1,89442.2.1,cut:89410] equal(multiply(sk_c6,sk_c7),sk_c5) | -equal(inverse(sk_c2),sk_c7) | $spltprd0($spltcnst27).
% 89554 [para:89540.1.1,89412.1.1.1] equal(multiply(sk_c6,sk_c4),identity) | $spltprd0($spltcnst27).
% 89556 [para:89542.1.1,89412.1.1.1] equal(multiply(sk_c7,sk_c3),identity) | $spltprd0($spltcnst27).
% 89561 [para:89411.1.1,89443.2.1] -equal(inverse(identity),sk_c7) | -equal(sk_c7,sk_c6) | $spltprd0($spltcnst28).
% 89571 [para:89436.1.1,89443.2.1,cut:89410,binarycut:89431] equal(inverse(sk_c4),sk_c6) | $spltprd0($spltcnst28).
% 89573 [para:89438.1.1,89443.2.1,cut:89410,binarycut:89433] equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst28).
% 89578 [para:89435.1.1,89443.2.1,cut:89410] equal(multiply(sk_c4,sk_c5),sk_c6) | -equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst28).
% 89579 [para:89437.1.1,89443.2.1,cut:89410] equal(multiply(sk_c3,sk_c6),sk_c7) | -equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst28).
% 89580 [para:89439.1.1,89443.2.1,cut:89410] equal(multiply(sk_c6,sk_c7),sk_c5) | -equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst28).
% 89583 [para:89571.1.1,89412.1.1.1] equal(multiply(sk_c6,sk_c4),identity) | $spltprd0($spltcnst28).
% 89589 [para:89412.1.1,89413.1.1.1,demod:89411] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 89620 [para:89429.1.1,89413.1.1.1] equal(multiply(sk_c6,sk_c7),sk_c5) | equal(multiply(sk_c6,X),multiply(sk_c7,multiply(sk_c5,X))).
% 89635 [para:89554.1.1,89413.1.1.1,demod:89411] $spltprd0($spltcnst27) | equal(X,multiply(sk_c6,multiply(sk_c4,X))).
% 89636 [para:89556.1.1,89413.1.1.1,demod:89411] $spltprd0($spltcnst27) | equal(X,multiply(sk_c7,multiply(sk_c3,X))).
% 89641 [para:89412.1.1,89589.1.2.2] equal(X,multiply(inverse(inverse(X)),identity)).
% 89687 [para:89425.2.1,89589.1.2.2] equal(sk_c5,multiply(inverse(sk_c4),sk_c6)) | equal(multiply(sk_c7,sk_c5),sk_c6).
% 89702 [para:89531.1.1,89589.1.2.2] equal(sk_c2,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst26).
% 89705 [para:89583.1.1,89589.1.2.2] equal(sk_c4,multiply(inverse(sk_c6),identity)) | $spltprd0($spltcnst28).
% 89707 [para:89413.1.1,89589.1.2.2] equal(X,multiply(inverse(multiply(Y,Z)),multiply(Y,multiply(Z,X)))).
% 89708 [para:89589.1.2,89589.1.2.2] equal(multiply(X,Y),multiply(inverse(inverse(X)),Y)).
% 89784 [para:89708.1.2,89412.1.1] equal(multiply(X,inverse(X)),identity).
% 89816 [para:89708.1.2,89589.1.2] equal(X,multiply(Y,multiply(inverse(Y),X))).
% 89817 [para:89708.1.2,89641.1.2] equal(X,multiply(X,identity)).
% 89818 [para:89817.1.2,89412.1.1] equal(inverse(identity),identity).
% 89819 [para:89817.1.2,89641.1.2] equal(X,inverse(inverse(X))).
% 89820 [para:89817.1.2,89702.1.2] equal(sk_c2,inverse(sk_c7)) | $spltprd0($spltcnst26).
% 89826 [para:89817.1.2,89705.1.2] equal(sk_c4,inverse(sk_c6)) | $spltprd0($spltcnst28).
% 89836 [para:89818.1.1,89561.1.1] -equal(sk_c7,sk_c6) | -equal(identity,sk_c7) | $spltprd0($spltcnst28).
% 89837 [para:89416.1.1,89819.1.2.1] equal(sk_c2,inverse(sk_c7)) | equal(inverse(sk_c4),sk_c6).
% 89839 [para:89418.1.1,89819.1.2.1] equal(sk_c2,inverse(sk_c7)) | equal(inverse(sk_c3),sk_c7).
% 89840 [para:89418.2.1,89819.1.2.1] equal(sk_c3,inverse(sk_c7)) | equal(inverse(sk_c2),sk_c7).
% 89841 [para:89431.1.1,89819.1.2.1] equal(sk_c1,inverse(sk_c7)) | equal(inverse(sk_c4),sk_c6).
% 89843 [para:89433.1.1,89819.1.2.1] equal(sk_c1,inverse(sk_c7)) | equal(inverse(sk_c3),sk_c7).
% 89844 [para:89433.2.1,89819.1.2.1] equal(sk_c3,inverse(sk_c7)) | equal(inverse(sk_c1),sk_c7).
% 89849 [para:89426.2.1,89819.1.2.1] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(sk_c4,inverse(sk_c6)).
% 89855 [para:89438.2.1,89819.1.2.1] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(sk_c3,inverse(sk_c7)).
% 89865 [para:89820.1.2,89412.1.1.1] equal(multiply(sk_c2,sk_c7),identity) | $spltprd0($spltcnst26).
% 89870 [para:89416.1.1,89784.1.1.2] equal(multiply(sk_c2,sk_c7),identity) | equal(inverse(sk_c4),sk_c6).
% 89872 [para:89418.1.1,89784.1.1.2] equal(multiply(sk_c2,sk_c7),identity) | equal(inverse(sk_c3),sk_c7).
% 89874 [para:89431.1.1,89784.1.1.2] equal(multiply(sk_c1,sk_c7),identity) | equal(inverse(sk_c4),sk_c6).
% 89876 [para:89433.1.1,89784.1.1.2] equal(multiply(sk_c1,sk_c7),identity) | equal(inverse(sk_c3),sk_c7).
% 89878 [para:89415.2.1,89784.1.1.2] equal(multiply(sk_c2,sk_c7),identity) | equal(multiply(sk_c4,sk_c5),sk_c6).
% 89880 [para:89419.2.1,89784.1.1.2] equal(multiply(sk_c2,sk_c7),identity) | equal(multiply(sk_c6,sk_c7),sk_c5).
% 89886 [para:89432.2.1,89784.1.1.2] equal(multiply(sk_c1,sk_c7),identity) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 89901 [para:89573.1.1,89784.1.1.2] equal(multiply(sk_c3,sk_c7),identity) | $spltprd0($spltcnst28).
% 89921 [para:89826.1.2,89589.1.2.1] $spltprd0($spltcnst28) | equal(X,multiply(sk_c4,multiply(sk_c6,X))).
% 90040 [para:89839.2.1,89641.1.2.1.1,demod:89817] equal(sk_c3,inverse(sk_c7)) | equal(sk_c2,inverse(sk_c7)).
% 90055 [para:89841.2.1,89641.1.2.1.1,demod:89817] equal(sk_c4,inverse(sk_c6)) | equal(sk_c1,inverse(sk_c7)).
% 90114 [para:89843.2.1,89641.1.2.1.1,demod:89817] equal(sk_c3,inverse(sk_c7)) | equal(sk_c1,inverse(sk_c7)).
% 90167 [para:89844.1.2,89641.1.2.1.1,demod:89817] equal(sk_c7,inverse(sk_c3)) | equal(inverse(sk_c1),sk_c7).
% 90219 [para:90055.1.2,89641.1.2.1.1,demod:89817] equal(sk_c6,inverse(sk_c4)) | equal(sk_c1,inverse(sk_c7)).
% 90237 [para:90114.1.2,89641.1.2.1.1,demod:89817] equal(sk_c7,inverse(sk_c3)) | equal(sk_c1,inverse(sk_c7)).
% 90396 [para:89433.2.1,89521.1.1,cut:89410] equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst26).
% 90398 [para:89423.2.1,89522.2.1,cut:89410] equal(multiply(sk_c2,sk_c7),sk_c5) | $spltprd0($spltcnst26).
% 90405 [para:90396.1.1,89784.1.1.2] equal(multiply(sk_c1,sk_c7),identity) | $spltprd0($spltcnst26).
% 90425 [para:89428.2.1,89523.2.1,cut:89410] equal(multiply(sk_c7,sk_c5),sk_c6) | $spltprd0($spltcnst26).
% 90441 [para:90398.1.1,89865.1.1] equal(sk_c5,identity) | $spltprd0($spltcnst26).
% 90462 [para:89438.2.1,89524.2.1,cut:89410] equal(multiply(sk_c1,sk_c7),sk_c6) | $spltprd0($spltcnst26).
% 90495 [para:90441.1.1,90425.1.1.2,demod:89817] equal(sk_c7,sk_c6) | $spltprd0($spltcnst26).
% 90521 [para:90495.1.1,89519.1.2,demod:89819,cut:89410] -equal(identity,sk_c7) | $spltprd0($spltcnst26).
% 90563 [para:90495.1.1,90521.1.2] -equal(identity,sk_c6) | $spltprd0($spltcnst26).
% 90629 [para:90405.1.1,90462.1.1,binarycut:90563] $spltprd0($spltcnst26).
% 90630 [binary:89444,90629] -$spltprd0($spltcnst28) | -$spltprd0($spltcnst27) | -$spltprd0($spltcnst25).
% 90653 [para:89415.2.1,89543.2.1,cut:89410] equal(multiply(sk_c4,sk_c5),sk_c6) | $spltprd0($spltcnst27).
% 90657 [para:89417.2.1,89545.2.1,cut:89410] equal(multiply(sk_c3,sk_c6),sk_c7) | $spltprd0($spltcnst27).
% 90661 [para:90653.1.1,89635.2.2.2] equal(sk_c5,multiply(sk_c6,sk_c6)) | $spltprd0($spltcnst27).
% 90665 [para:90657.1.1,89636.2.2.2] equal(sk_c6,multiply(sk_c7,sk_c7)) | $spltprd0($spltcnst27).
% 90668 [para:90661.1.2,89589.1.2.2] equal(sk_c6,multiply(inverse(sk_c6),sk_c5)) | $spltprd0($spltcnst27).
% 90673 [para:90665.1.2,89589.1.2.2] equal(sk_c7,multiply(inverse(sk_c7),sk_c6)) | $spltprd0($spltcnst27).
% 90675 [para:89419.2.1,89546.2.1,cut:89410] equal(multiply(sk_c6,sk_c7),sk_c5) | $spltprd0($spltcnst27).
% 90679 [para:90675.1.1,89589.1.2.2] equal(sk_c7,multiply(inverse(sk_c6),sk_c5)) | $spltprd0($spltcnst27).
% 90711 [para:90679.1.2,90668.1.2] equal(sk_c6,sk_c7) | $spltprd0($spltcnst27).
% 90749 [para:90711.1.2,90673.1.2.1.1,demod:89412] equal(sk_c7,identity) | $spltprd0($spltcnst27).
% 90764 [para:90749.1.1,89536.1.2,demod:89818,cut:89410] -equal(sk_c7,sk_c5) | $spltprd0($spltcnst27).
% 90776 [?] ?
% 90795 [para:90711.1.2,90764.1.1,binarycut:90776] $spltprd0($spltcnst27).
% 90841 [para:89430.2.1,89578.2.1,cut:89410] equal(multiply(sk_c4,sk_c5),sk_c6) | $spltprd0($spltcnst28).
% 90855 [para:89432.2.1,89579.2.1,cut:89410] equal(multiply(sk_c3,sk_c6),sk_c7) | $spltprd0($spltcnst28).
% 90873 [para:89434.2.1,89580.2.1,cut:89410] equal(multiply(sk_c6,sk_c7),sk_c5) | $spltprd0($spltcnst28).
% 90884 [para:90873.1.1,89921.2.2.2] equal(sk_c7,multiply(sk_c4,sk_c5)) | $spltprd0($spltcnst28).
% 90899 [para:90884.1.2,90841.1.1] equal(sk_c7,sk_c6) | $spltprd0($spltcnst28).
% 90920 [para:90899.1.1,89901.1.1.2] equal(multiply(sk_c3,sk_c6),identity) | $spltprd0($spltcnst28).
% 90922 [para:90899.1.1,89836.1.1,cut:89410] -equal(identity,sk_c7) | $spltprd0($spltcnst28).
% 91100 [para:90920.1.1,90855.1.1,binarycut:90922] $spltprd0($spltcnst28).
% 91101 [binary:90630,91100,cut:90795] -$spltprd0($spltcnst25).
% 91260 [para:89849.2.2,89641.1.2.1.1,demod:89817] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(sk_c6,inverse(sk_c4)).
% 91394 [para:89870.1.1,89421.1.1] equal(inverse(sk_c4),sk_c6) | equal(identity,sk_c5).
% 91403 [para:91394.2.2,89426.1.1.2,demod:89817] equal(inverse(sk_c4),sk_c6) | equal(sk_c7,sk_c6).
% 91443 [para:91403.1.1,89641.1.2.1.1,demod:89817] equal(sk_c4,inverse(sk_c6)) | equal(sk_c7,sk_c6).
% 91451 [para:91403.2.1,89837.1.2.1] equal(sk_c2,inverse(sk_c6)) | equal(inverse(sk_c4),sk_c6).
% 91495 [para:91443.1.2,89641.1.2.1.1,demod:89817] equal(sk_c6,inverse(sk_c4)) | equal(sk_c7,sk_c6).
% 91601 [para:90219.2.1,91495.2.2.1] equal(sk_c1,inverse(sk_c6)) | equal(sk_c6,inverse(sk_c4)).
% 91672 [para:91601.1.2,89641.1.2.1.1,demod:89817] equal(sk_c6,inverse(sk_c1)) | equal(sk_c6,inverse(sk_c4)).
% 91893 [para:89872.1.1,89423.1.1] equal(inverse(sk_c3),sk_c7) | equal(identity,sk_c5).
% 91904 [para:91893.2.2,89428.1.1.2,demod:89817] equal(inverse(sk_c3),sk_c7) | equal(sk_c7,sk_c6).
% 91947 [para:91904.1.1,89641.1.2.1.1,demod:89817] equal(sk_c3,inverse(sk_c7)) | equal(sk_c7,sk_c6).
% 91955 [para:91904.2.1,89839.1.2.1] equal(sk_c2,inverse(sk_c6)) | equal(inverse(sk_c3),sk_c7).
% 92017 [para:91947.1.2,89641.1.2.1.1,demod:89817] equal(sk_c7,inverse(sk_c3)) | equal(sk_c7,sk_c6).
% 92028 [para:90040.2.1,91947.2.2.1] equal(sk_c2,inverse(sk_c6)) | equal(sk_c3,inverse(sk_c7)).
% 92122 [para:90237.2.1,92017.2.2.1] equal(sk_c1,inverse(sk_c6)) | equal(sk_c7,inverse(sk_c3)).
% 92234 [para:92122.1.2,89641.1.2.1.1,demod:89817] equal(sk_c6,inverse(sk_c1)) | equal(sk_c7,inverse(sk_c3)).
% 92553 [para:89874.1.1,89436.1.1] equal(inverse(sk_c4),sk_c6) | equal(identity,sk_c6).
% 92571 [para:92553.2.2,91451.1.2.1,demod:89818] equal(inverse(sk_c4),sk_c6) | equal(sk_c2,identity).
% 92621 [para:92571.2.1,89416.1.1.1,demod:89818] equal(inverse(sk_c4),sk_c6) | equal(identity,sk_c7).
% 92622 [para:92571.2.1,89421.1.1.1,demod:89411] equal(inverse(sk_c4),sk_c6) | equal(sk_c7,sk_c5).
% 92742 [para:92621.2.2,89421.1.1.2,demod:89817] equal(inverse(sk_c4),sk_c6) | equal(sk_c2,sk_c5).
% 92774 [para:92622.2.1,89841.1.2.1] equal(sk_c1,inverse(sk_c5)) | equal(inverse(sk_c4),sk_c6).
% 93014 [para:92742.2.1,89416.1.1.1] equal(inverse(sk_c5),sk_c7) | equal(inverse(sk_c4),sk_c6).
% 93507 [?] ?
% 93591 [para:93014.1.1,92774.1.2] equal(inverse(sk_c4),sk_c6) | equal(sk_c1,sk_c7).
% 93624 [para:93591.1.1,89641.1.2.1.1,demod:89817] equal(sk_c4,inverse(sk_c6)) | equal(sk_c1,sk_c7).
% 93731 [para:93624.1.2,89641.1.2.1.1,demod:89817] equal(sk_c6,inverse(sk_c4)) | equal(sk_c1,sk_c7).
% 93870 [para:93731.2.1,91672.1.2.1] equal(sk_c6,inverse(sk_c7)) | equal(sk_c6,inverse(sk_c4)).
% 96867 [para:89876.1.1,89438.1.1] equal(inverse(sk_c3),sk_c7) | equal(identity,sk_c6).
% 96881 [para:96867.1.1,89641.1.2.1.1,demod:89817] equal(sk_c3,inverse(sk_c7)) | equal(identity,sk_c6).
% 96889 [para:96867.2.2,91955.1.2.1,demod:89818] equal(inverse(sk_c3),sk_c7) | equal(sk_c2,identity).
% 96986 [para:96881.2.2,92028.1.2.1,demod:89818] equal(sk_c3,inverse(sk_c7)) | equal(sk_c2,identity).
% 97069 [para:96889.2.1,89418.1.1.1,demod:89818] equal(inverse(sk_c3),sk_c7) | equal(identity,sk_c7).
% 97070 [para:96889.2.1,89423.1.1.1,demod:89411] equal(inverse(sk_c3),sk_c7) | equal(sk_c7,sk_c5).
% 97233 [para:89840.2.1,96986.2.1.1,demod:89818] equal(sk_c3,inverse(sk_c7)) | equal(identity,sk_c7).
% 97319 [para:89412.1.1,89707.1.2.2.2,demod:89817] equal(X,multiply(inverse(multiply(Y,inverse(X))),Y)).
% 97704 [para:97069.2.2,89423.1.1.2,demod:89817] equal(inverse(sk_c3),sk_c7) | equal(sk_c2,sk_c5).
% 97736 [para:97070.2.1,89843.1.2.1] equal(sk_c1,inverse(sk_c5)) | equal(inverse(sk_c3),sk_c7).
% 97821 [para:97233.2.2,89855.1.1.2,demod:89817] equal(sk_c3,inverse(sk_c7)) | equal(sk_c1,sk_c6).
% 97955 [para:97704.2.1,89418.1.1.1] equal(inverse(sk_c5),sk_c7) | equal(inverse(sk_c3),sk_c7).
% 98165 [para:97821.1.2,89641.1.2.1.1,demod:89817] equal(sk_c7,inverse(sk_c3)) | equal(sk_c1,sk_c6).
% 98420 [para:90167.2.1,98165.2.1.1] equal(inverse(sk_c6),sk_c7) | equal(sk_c7,inverse(sk_c3)).
% 98505 [?] ?
% 98821 [para:97955.1.1,97736.1.2] equal(inverse(sk_c3),sk_c7) | equal(sk_c1,sk_c7).
% 98862 [para:98821.1.1,89641.1.2.1.1,demod:89817] equal(sk_c3,inverse(sk_c7)) | equal(sk_c1,sk_c7).
% 98963 [para:98862.1.2,89641.1.2.1.1,demod:89817] equal(sk_c7,inverse(sk_c3)) | equal(sk_c1,sk_c7).
% 99164 [para:98963.2.1,92234.1.2.1] equal(sk_c6,inverse(sk_c7)) | equal(sk_c7,inverse(sk_c3)).
% 107923 [para:89878.1.1,89420.1.1] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(identity,sk_c5).
% 107948 [para:107923.2.2,89425.1.1.2,demod:89817] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(sk_c7,sk_c6).
% 108436 [para:89880.1.1,89424.1.1] equal(multiply(sk_c6,sk_c7),sk_c5) | equal(identity,sk_c5).
% 108447 [para:108436.2.2,89429.1.1.2,demod:89817] equal(multiply(sk_c6,sk_c7),sk_c5) | equal(sk_c7,sk_c6).
% 109399 [para:89886.1.1,89437.1.1] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(identity,sk_c6).
% 116684 [para:91260.1.1,89446.1.1,cut:89410,cut:91101,binarycut:93507] -equal(inverse(sk_c7),sk_c6) | equal(sk_c6,inverse(sk_c4)).
% 116719 [para:93870.1.2,116684.1.1,cut:89410] equal(sk_c6,inverse(sk_c4)).
% 116721 [para:116719.1.2,89589.1.2.1] equal(X,multiply(sk_c6,multiply(sk_c4,X))).
% 116722 [para:116719.1.2,89641.1.2.1.1,demod:89817] equal(sk_c4,inverse(sk_c6)).
% 116724 [para:116719.1.2,89816.1.2.2.1] equal(X,multiply(sk_c4,multiply(sk_c6,X))).
% 116748 [para:116722.1.2,98420.1.1] equal(sk_c7,inverse(sk_c3)) | equal(sk_c4,sk_c7).
% 116775 [para:109399.2.2,116722.1.2.1,demod:89818] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(sk_c4,identity).
% 116859 [para:108447.1.1,116724.1.2.2] equal(sk_c7,multiply(sk_c4,sk_c5)) | equal(sk_c7,sk_c6).
% 117470 [?] ?
% 117476 [para:116748.2.2,89446.1.1.1,cut:91101,binarycut:98505,binarycut:117470] -equal(inverse(sk_c7),sk_c6) | equal(sk_c7,inverse(sk_c3)).
% 118073 [para:99164.1.2,117476.1.1,cut:89410] equal(sk_c7,inverse(sk_c3)).
% 118075 [para:118073.1.2,89589.1.2.1] equal(X,multiply(sk_c7,multiply(sk_c3,X))).
% 118076 [para:118073.1.2,89641.1.2.1.1,demod:89817] equal(sk_c3,inverse(sk_c7)).
% 118077 [para:118073.1.2,89784.1.1.2] equal(multiply(sk_c3,sk_c7),identity).
% 120515 [para:116859.1.2,107948.1.1] equal(sk_c7,sk_c6).
% 120805 [para:120515.1.1,118076.1.2.1,demod:116722] equal(sk_c3,sk_c4).
% 120807 [para:120515.1.1,118077.1.1.2] equal(multiply(sk_c3,sk_c6),identity).
% 120860 [para:116775.1.2,120805.2.1,demod:120807] equal(sk_c3,identity) | equal(identity,sk_c7).
% 121038 [para:120860.1.1,97069.1.1.1,demod:89818] equal(identity,sk_c7).
% 121113 [para:120860.2.2,118076.1.2.1,demod:89818] equal(sk_c3,identity).
% 121293 [para:121038.1.2,118075.1.2.1,demod:89411] equal(X,multiply(sk_c3,X)).
% 121300 [para:121038.1.2,120515.1.1] equal(identity,sk_c6).
% 121317 [para:121113.1.1,118075.1.2.2.1,demod:89411] equal(X,multiply(sk_c7,X)).
% 121368 [para:121300.1.2,89687.1.2.2,demod:121317,89817,116719] equal(sk_c5,sk_c6).
% 121440 [para:121300.1.2,116722.1.2.1,demod:89818] equal(sk_c4,identity).
% 121501 [para:121440.1.1,116721.1.2.2.1,demod:89411] equal(X,multiply(sk_c6,X)).
% 121503 [para:121293.1.2,97319.1.2.1.1,demod:89819] equal(X,multiply(X,sk_c3)).
% 121513 [para:121317.1.2,97319.1.2.1.1,demod:89819] equal(X,multiply(X,sk_c7)).
% 121547 [para:121503.1.2,121501.1.2] equal(sk_c3,sk_c6).
% 121648 [para:89620.1.2,121513.2.2.2,demod:121317,121501] equal(sk_c7,sk_c5).
% 121724 [para:120515.1.1,121648.1.1] equal(sk_c6,sk_c5).
% 123517 [para:121038.1.2,89446.1.1.1,demod:118076,89411,cut:91101,cut:121547,cut:121368] -equal(multiply(sk_c6,sk_c7),sk_c5).
% 123525 [para:120515.1.1,123517.1.1.2,demod:121501,cut:121724] 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: 15714
% derived clauses: 2348407
% kept clauses: 99825
% kept size sum: 407104
% kept mid-nuclei: 3672
% kept new demods: 867
% forw unit-subs: 1151450
% forw double-subs: 994356
% forw overdouble-subs: 78890
% backward subs: 14446
% fast unit cutoff: 14198
% full unit cutoff: 0
% dbl unit cutoff: 4122
% real runtime : 150.15
% process. runtime: 149.4
% specific non-discr-tree subsumption statistics:
% tried: 15926438
% length fails: 2122579
% strength fails: 4251223
% predlist fails: 1120505
% aux str. fails: 2790773
% by-lit fails: 3058235
% full subs tried: 543221
% full subs fail: 503046
%
% ; 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/GRP270-1+eq_r.in")
%
%------------------------------------------------------------------------------