TSTP Solution File: GRP265-1 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP265-1 : 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 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/GRP265-1+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 21)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 21)
% (binary-posweight-lex-big-order 30 #f 3 21)
% (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_c9),sk_c8) | -equal(inverse(X),sk_c9) | -equal(multiply(Y,sk_c8),sk_c7) | -equal(inverse(Y),sk_c8) | -equal(multiply(Z,sk_c9),sk_c8) | -equal(inverse(Z),sk_c9) | -equal(multiply(U,sk_c7),sk_c8) | -equal(inverse(U),sk_c7) | -equal(multiply(sk_c7,V),sk_c8) | -equal(multiply(W,sk_c7),V) | -equal(inverse(W),sk_c7).
% was split for some strategies as:
% -equal(multiply(sk_c7,V),sk_c8) | -equal(multiply(W,sk_c7),V) | -equal(inverse(W),sk_c7).
% -equal(multiply(U,sk_c7),sk_c8) | -equal(inverse(U),sk_c7).
% -equal(multiply(Z,sk_c9),sk_c8) | -equal(inverse(Z),sk_c9).
% -equal(multiply(Y,sk_c8),sk_c7) | -equal(inverse(Y),sk_c8).
% -equal(multiply(X,sk_c9),sk_c8) | -equal(inverse(X),sk_c9).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(33,40,0,72,0,0,120098,5,1501,120099,1,1501,120099,50,1501,120099,40,1501,120138,0,1501,131790,3,1802,132460,4,1952,133803,5,2102,133804,1,2102,133804,50,2102,133804,40,2102,133843,0,2102,134055,3,2410,134064,4,2562,134071,5,2703,134071,1,2703,134071,50,2703,134071,40,2703,134110,0,2703,151446,3,4204,151966,4,4954)
%
%
% START OF PROOF
% 133906 [?] ?
% 134072 [] equal(X,X).
% 134073 [] equal(multiply(identity,X),X).
% 134074 [] equal(multiply(inverse(X),X),identity).
% 134075 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 134077 [] equal(inverse(sk_c2),sk_c8) | equal(inverse(sk_c5),sk_c7).
% 134078 [] equal(multiply(sk_c5,sk_c7),sk_c6) | equal(inverse(sk_c2),sk_c8).
% 134079 [] equal(multiply(sk_c7,sk_c6),sk_c8) | equal(inverse(sk_c2),sk_c8).
% 134080 [] equal(inverse(sk_c2),sk_c8) | equal(inverse(sk_c4),sk_c7).
% 134081 [] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(inverse(sk_c2),sk_c8).
% 134082 [] equal(inverse(sk_c2),sk_c8) | equal(inverse(sk_c3),sk_c9).
% 134084 [] equal(multiply(sk_c2,sk_c8),sk_c7) | equal(inverse(sk_c5),sk_c7).
% 134085 [] equal(multiply(sk_c2,sk_c8),sk_c7) | equal(multiply(sk_c5,sk_c7),sk_c6).
% 134086 [] equal(multiply(sk_c2,sk_c8),sk_c7) | equal(multiply(sk_c7,sk_c6),sk_c8).
% 134087 [] equal(multiply(sk_c2,sk_c8),sk_c7) | equal(inverse(sk_c4),sk_c7).
% 134088 [] equal(multiply(sk_c2,sk_c8),sk_c7) | equal(multiply(sk_c4,sk_c7),sk_c8).
% 134089 [] equal(multiply(sk_c2,sk_c8),sk_c7) | equal(inverse(sk_c3),sk_c9).
% 134091 [] equal(inverse(sk_c1),sk_c9) | equal(inverse(sk_c5),sk_c7).
% 134092 [] equal(multiply(sk_c5,sk_c7),sk_c6) | equal(inverse(sk_c1),sk_c9).
% 134093 [] equal(multiply(sk_c7,sk_c6),sk_c8) | equal(inverse(sk_c1),sk_c9).
% 134094 [] equal(inverse(sk_c1),sk_c9) | equal(inverse(sk_c4),sk_c7).
% 134095 [] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(inverse(sk_c1),sk_c9).
% 134096 [] equal(inverse(sk_c1),sk_c9) | equal(inverse(sk_c3),sk_c9).
% 134097 [] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(inverse(sk_c1),sk_c9).
% 134098 [] equal(multiply(sk_c1,sk_c9),sk_c8) | equal(inverse(sk_c5),sk_c7).
% 134101 [] equal(multiply(sk_c1,sk_c9),sk_c8) | equal(inverse(sk_c4),sk_c7).
% 134102 [] equal(multiply(sk_c1,sk_c9),sk_c8) | equal(multiply(sk_c4,sk_c7),sk_c8).
% 134103 [] equal(multiply(sk_c1,sk_c9),sk_c8) | equal(inverse(sk_c3),sk_c9).
% 134104 [] equal(multiply(sk_c1,sk_c9),sk_c8) | equal(multiply(sk_c3,sk_c9),sk_c8).
% 134105 [] $spltprd0($spltcnst16) | -equal(multiply(sk_c7,X),sk_c8) | -equal(multiply(Y,sk_c7),X) | -equal(inverse(Y),sk_c7).
% 134106 [] $spltprd0($spltcnst17) | -equal(multiply(X,sk_c7),sk_c8) | -equal(inverse(X),sk_c7).
% 134107 [] $spltprd0($spltcnst18) | -equal(multiply(X,sk_c9),sk_c8) | -equal(inverse(X),sk_c9).
% 134108 [] $spltprd0($spltcnst19) | -equal(multiply(X,sk_c8),sk_c7) | -equal(inverse(X),sk_c8).
% 134109 [] $spltprd0($spltcnst20) | -equal(multiply(X,sk_c9),sk_c8) | -equal(inverse(X),sk_c9).
% 134110 [] -$spltprd0($spltcnst17) | -$spltprd0($spltcnst16) | -$spltprd0($spltcnst18) | -$spltprd0($spltcnst20) | -$spltprd0($spltcnst19).
% 134116 [para:134077.1.1,134074.1.1.1] equal(multiply(sk_c8,sk_c2),identity) | equal(inverse(sk_c5),sk_c7).
% 134117 [para:134077.2.1,134074.1.1.1] equal(multiply(sk_c7,sk_c5),identity) | equal(inverse(sk_c2),sk_c8).
% 134119 [para:134080.1.1,134074.1.1.1] equal(multiply(sk_c8,sk_c2),identity) | equal(inverse(sk_c4),sk_c7).
% 134123 [para:134082.1.1,134074.1.1.1] equal(multiply(sk_c8,sk_c2),identity) | equal(inverse(sk_c3),sk_c9).
% 134126 [para:134091.1.1,134074.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | equal(inverse(sk_c5),sk_c7).
% 134127 [para:134091.2.1,134074.1.1.1] equal(multiply(sk_c7,sk_c5),identity) | equal(inverse(sk_c1),sk_c9).
% 134129 [para:134094.1.1,134074.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | equal(inverse(sk_c4),sk_c7).
% 134130 [para:134094.2.1,134074.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | equal(inverse(sk_c1),sk_c9).
% 134132 [para:134096.1.1,134074.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | equal(inverse(sk_c3),sk_c9).
% 134137 [para:134079.2.1,134074.1.1.1] equal(multiply(sk_c8,sk_c2),identity) | equal(multiply(sk_c7,sk_c6),sk_c8).
% 134201 [para:134079.1.1,134105.2.1,cut:134072] equal(inverse(sk_c2),sk_c8) | $spltprd0($spltcnst16) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 134209 [para:134137.2.1,134105.2.1,cut:134072] equal(multiply(sk_c8,sk_c2),identity) | $spltprd0($spltcnst16) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 134220 [para:134073.1.1,134106.2.1] -equal(inverse(identity),sk_c7) | -equal(sk_c7,sk_c8) | $spltprd0($spltcnst17).
% 134223 [para:134081.1.1,134106.2.1,cut:134072] -equal(inverse(sk_c4),sk_c7) | equal(inverse(sk_c2),sk_c8) | $spltprd0($spltcnst17).
% 134226 [para:134095.1.1,134106.2.1,cut:134072] -equal(inverse(sk_c4),sk_c7) | equal(inverse(sk_c1),sk_c9) | $spltprd0($spltcnst17).
% 134235 [para:134080.2.1,134223.1.1,cut:134072] equal(inverse(sk_c2),sk_c8) | $spltprd0($spltcnst17).
% 134237 [para:134235.1.1,134074.1.1.1] equal(multiply(sk_c8,sk_c2),identity) | $spltprd0($spltcnst17).
% 134251 [para:134103.1.1,134107.2.1,cut:134072,binarycut:134096] equal(inverse(sk_c3),sk_c9) | $spltprd0($spltcnst18).
% 134259 [para:134104.2.1,134107.2.1,cut:134072,binarycut:134251] equal(multiply(sk_c1,sk_c9),sk_c8) | $spltprd0($spltcnst18).
% 134270 [para:134259.1.1,134107.2.1,cut:134072] -equal(inverse(sk_c1),sk_c9) | $spltprd0($spltcnst18).
% 134272 [para:134073.1.1,134108.2.1] -equal(inverse(identity),sk_c8) | -equal(sk_c8,sk_c7) | $spltprd0($spltcnst19).
% 134275 [para:134084.1.1,134108.2.1,cut:134072,binarycut:134077] equal(inverse(sk_c5),sk_c7) | $spltprd0($spltcnst19).
% 134277 [para:134087.1.1,134108.2.1,cut:134072,binarycut:134080] equal(inverse(sk_c4),sk_c7) | $spltprd0($spltcnst19).
% 134280 [para:134085.1.1,134108.2.1,cut:134072] equal(multiply(sk_c5,sk_c7),sk_c6) | -equal(inverse(sk_c2),sk_c8) | $spltprd0($spltcnst19).
% 134281 [para:134086.1.1,134108.2.1,cut:134072] equal(multiply(sk_c7,sk_c6),sk_c8) | -equal(inverse(sk_c2),sk_c8) | $spltprd0($spltcnst19).
% 134282 [para:134088.1.1,134108.2.1,cut:134072] equal(multiply(sk_c4,sk_c7),sk_c8) | -equal(inverse(sk_c2),sk_c8) | $spltprd0($spltcnst19).
% 134292 [para:134097.2.1,134270.1.1,cut:134072] equal(multiply(sk_c3,sk_c9),sk_c8) | $spltprd0($spltcnst18).
% 134294 [para:134275.1.1,134074.1.1.1] equal(multiply(sk_c7,sk_c5),identity) | $spltprd0($spltcnst19).
% 134296 [para:134277.1.1,134074.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | $spltprd0($spltcnst19).
% 134310 [para:134103.1.1,134109.2.1,cut:134072,binarycut:134096] equal(inverse(sk_c3),sk_c9) | $spltprd0($spltcnst20).
% 134318 [para:134104.2.1,134109.2.1,cut:134072,binarycut:134310] equal(multiply(sk_c1,sk_c9),sk_c8) | $spltprd0($spltcnst20).
% 134331 [para:134074.1.1,134075.1.1.1,demod:134073] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 134350 [para:134116.1.1,134075.1.1.1,demod:134073] equal(inverse(sk_c5),sk_c7) | equal(X,multiply(sk_c8,multiply(sk_c2,X))).
% 134352 [para:134119.1.1,134075.1.1.1,demod:134073] equal(inverse(sk_c4),sk_c7) | equal(X,multiply(sk_c8,multiply(sk_c2,X))).
% 134356 [para:134123.1.1,134075.1.1.1,demod:134073] equal(inverse(sk_c3),sk_c9) | equal(X,multiply(sk_c8,multiply(sk_c2,X))).
% 134358 [para:134126.1.1,134075.1.1.1,demod:134073] equal(inverse(sk_c5),sk_c7) | equal(X,multiply(sk_c9,multiply(sk_c1,X))).
% 134359 [para:134127.1.1,134075.1.1.1,demod:134073] equal(inverse(sk_c1),sk_c9) | equal(X,multiply(sk_c7,multiply(sk_c5,X))).
% 134362 [para:134129.1.1,134075.1.1.1,demod:134073] equal(inverse(sk_c4),sk_c7) | equal(X,multiply(sk_c9,multiply(sk_c1,X))).
% 134363 [para:134130.1.1,134075.1.1.1,demod:134073] equal(inverse(sk_c1),sk_c9) | equal(X,multiply(sk_c7,multiply(sk_c4,X))).
% 134364 [para:134132.1.1,134075.1.1.1,demod:134073] equal(inverse(sk_c3),sk_c9) | equal(X,multiply(sk_c9,multiply(sk_c1,X))).
% 134415 [para:134292.1.1,134107.2.1,cut:134072,binarycut:134251] $spltprd0($spltcnst18).
% 134429 [para:134318.1.1,134109.2.1,cut:134072] -equal(inverse(sk_c1),sk_c9) | $spltprd0($spltcnst20).
% 134435 [para:134097.2.1,134429.1.1,cut:134072] equal(multiply(sk_c3,sk_c9),sk_c8) | $spltprd0($spltcnst20).
% 134470 [para:134435.1.1,134109.2.1,cut:134072,binarycut:134310] $spltprd0($spltcnst20).
% 134477 [para:134078.1.1,134331.1.2.2] equal(sk_c7,multiply(inverse(sk_c5),sk_c6)) | equal(inverse(sk_c2),sk_c8).
% 134479 [para:134081.1.1,134331.1.2.2] equal(sk_c7,multiply(inverse(sk_c4),sk_c8)) | equal(inverse(sk_c2),sk_c8).
% 134501 [para:134116.2.1,134331.1.2.1] equal(multiply(sk_c8,sk_c2),identity) | equal(X,multiply(sk_c7,multiply(sk_c5,X))).
% 134550 [para:134237.1.1,134331.1.2.2] equal(sk_c2,multiply(inverse(sk_c8),identity)) | $spltprd0($spltcnst17).
% 134551 [para:134294.1.1,134331.1.2.2] equal(sk_c5,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst19).
% 134552 [para:134296.1.1,134331.1.2.2] equal(sk_c4,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst19).
% 134571 [para:134550.1.2,134075.1.1.1,demod:134073] $spltprd0($spltcnst17) | equal(multiply(sk_c2,X),multiply(inverse(sk_c8),X)).
% 134573 [para:134551.1.2,134075.1.1.1,demod:134073] $spltprd0($spltcnst19) | equal(multiply(sk_c5,X),multiply(inverse(sk_c7),X)).
% 134576 [para:134552.1.2,134551.1.2] equal(sk_c5,sk_c4) | $spltprd0($spltcnst19).
% 134647 [para:134571.2.2,134074.1.1] equal(multiply(sk_c2,sk_c8),identity) | $spltprd0($spltcnst17).
% 134658 [para:134647.1.1,134087.1.1] equal(inverse(sk_c4),sk_c7) | equal(identity,sk_c7) | $spltprd0($spltcnst17).
% 134726 [para:134658.2.2,134220.1.2,cut:133906] equal(inverse(sk_c4),sk_c7) | -equal(sk_c7,sk_c8) | $spltprd0($spltcnst17).
% 134765 [para:134658.2.2,134726.2.1] equal(inverse(sk_c4),sk_c7) | -equal(identity,sk_c8) | $spltprd0($spltcnst17).
% 134775 [para:134573.2.2,134074.1.1] equal(multiply(sk_c5,sk_c7),identity) | $spltprd0($spltcnst19).
% 134799 [para:134775.1.1,134331.1.2.2] equal(sk_c7,multiply(inverse(sk_c5),identity)) | $spltprd0($spltcnst19).
% 134800 [para:134576.1.1,134775.1.1.1] equal(multiply(sk_c4,sk_c7),identity) | $spltprd0($spltcnst19).
% 134852 [para:134799.1.2,134075.1.1.1,demod:134073] $spltprd0($spltcnst19) | equal(multiply(sk_c7,X),multiply(inverse(sk_c5),X)).
% 134941 [para:134078.1.1,134201.3.1,cut:134072] -equal(inverse(sk_c5),sk_c7) | equal(inverse(sk_c2),sk_c8) | $spltprd0($spltcnst16).
% 135071 [para:134331.1.2,134852.2.2] $spltprd0($spltcnst19) | equal(multiply(sk_c7,multiply(sk_c5,X)),X).
% 135148 [para:134094.2.1,134226.1.1,cut:134072] equal(inverse(sk_c1),sk_c9) | $spltprd0($spltcnst17).
% 135150 [para:135148.1.1,134074.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | $spltprd0($spltcnst17).
% 135155 [para:135150.1.1,134331.1.2.2] equal(sk_c1,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst17).
% 135174 [para:135155.1.2,134075.1.1.1,demod:134073] $spltprd0($spltcnst17) | equal(multiply(sk_c1,X),multiply(inverse(sk_c9),X)).
% 135189 [para:135174.2.2,134074.1.1] equal(multiply(sk_c1,sk_c9),identity) | $spltprd0($spltcnst17).
% 135202 [para:135189.1.1,134101.1.1] equal(inverse(sk_c4),sk_c7) | equal(identity,sk_c8) | $spltprd0($spltcnst17).
% 135295 [para:135202.2.2,134765.2.2,cut:134072] equal(inverse(sk_c4),sk_c7) | $spltprd0($spltcnst17).
% 135297 [para:135295.1.1,134074.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | $spltprd0($spltcnst17).
% 135330 [para:134088.2.1,134106.2.1,cut:134072,binarycut:135295] equal(multiply(sk_c2,sk_c8),sk_c7) | $spltprd0($spltcnst17).
% 135335 [para:135330.1.1,134647.1.1] equal(sk_c7,identity) | $spltprd0($spltcnst17).
% 135350 [para:135335.1.1,134220.1.2,cut:133906] -equal(sk_c7,sk_c8) | $spltprd0($spltcnst17).
% 135359 [para:135335.1.1,135297.1.1.1,demod:134073] equal(sk_c4,identity) | $spltprd0($spltcnst17).
% 135364 [para:135335.1.1,135350.1.1] -equal(identity,sk_c8) | $spltprd0($spltcnst17).
% 135382 [para:134102.1.1,135359.2.1.1,demod:134073,binarycut:135350] equal(multiply(sk_c1,sk_c9),sk_c8) | $spltprd0($spltcnst17).
% 135481 [para:135189.1.1,135382.1.1,binarycut:135364] $spltprd0($spltcnst17).
% 135536 [binary:134110,135481,cut:134415,cut:134470] -$spltprd0($spltcnst16) | -$spltprd0($spltcnst19).
% 135546 [para:134078.2.1,134280.2.1,cut:134072] equal(multiply(sk_c5,sk_c7),sk_c6) | $spltprd0($spltcnst19).
% 135555 [para:135546.1.1,135071.2.1.2] equal(multiply(sk_c7,sk_c6),sk_c7) | $spltprd0($spltcnst19).
% 135601 [para:134079.2.1,134281.2.1,cut:134072] equal(multiply(sk_c7,sk_c6),sk_c8) | $spltprd0($spltcnst19).
% 135603 [para:134081.2.1,134282.2.1,cut:134072] equal(multiply(sk_c4,sk_c7),sk_c8) | $spltprd0($spltcnst19).
% 135623 [para:135601.1.1,135555.1.1] equal(sk_c8,sk_c7) | $spltprd0($spltcnst19).
% 135685 [para:135603.1.1,134800.1.1] equal(sk_c8,identity) | $spltprd0($spltcnst19).
% 135696 [para:135685.1.1,134272.1.2,cut:133906,binarycut:135623] $spltprd0($spltcnst19).
% 135719 [para:134077.2.1,134477.1.2.1] equal(sk_c7,multiply(sk_c7,sk_c6)) | equal(inverse(sk_c2),sk_c8).
% 135723 [para:135719.1.2,134079.1.1] equal(inverse(sk_c2),sk_c8) | equal(sk_c7,sk_c8).
% 135725 [para:135719.1.2,134331.1.2.2,demod:134074] equal(inverse(sk_c2),sk_c8) | equal(sk_c6,identity).
% 135730 [para:135723.1.1,134074.1.1.1] equal(multiply(sk_c8,sk_c2),identity) | equal(sk_c7,sk_c8).
% 135734 [para:135723.2.1,134078.1.1.2] equal(multiply(sk_c5,sk_c8),sk_c6) | equal(inverse(sk_c2),sk_c8).
% 135737 [para:135723.2.1,134117.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | equal(inverse(sk_c2),sk_c8).
% 135744 [para:135723.1.1,134331.1.2.1] equal(sk_c7,sk_c8) | equal(X,multiply(sk_c8,multiply(sk_c2,X))).
% 135749 [para:135723.2.1,135719.1.2.1] equal(sk_c7,multiply(sk_c8,sk_c6)) | equal(inverse(sk_c2),sk_c8).
% 135840 [para:135725.2.1,135749.1.2.2] equal(sk_c7,multiply(sk_c8,identity)) | equal(inverse(sk_c2),sk_c8).
% 135970 [para:134080.2.1,134479.1.2.1] equal(sk_c7,multiply(sk_c7,sk_c8)) | equal(inverse(sk_c2),sk_c8).
% 136001 [para:135970.1.2,134331.1.2.2,demod:134074] equal(inverse(sk_c2),sk_c8) | equal(sk_c8,identity).
% 136020 [para:136001.2.1,135737.1.1.1,demod:134073] equal(inverse(sk_c2),sk_c8) | equal(sk_c5,identity).
% 136022 [para:136001.2.1,135749.1.2.1,demod:134073] equal(inverse(sk_c2),sk_c8) | equal(sk_c7,sk_c6).
% 136024 [para:136001.2.1,135840.1.2.1,demod:134073] equal(inverse(sk_c2),sk_c8) | equal(sk_c7,identity).
% 136039 [para:134077.2.1,136020.2.1.1] equal(inverse(identity),sk_c7) | equal(inverse(sk_c2),sk_c8).
% 136043 [para:136020.2.1,135734.1.1.1,demod:134073] equal(inverse(sk_c2),sk_c8) | equal(sk_c8,sk_c6).
% 136058 [para:136022.1.1,134074.1.1.1] equal(multiply(sk_c8,sk_c2),identity) | equal(sk_c7,sk_c6).
% 136071 [para:136024.1.1,134074.1.1.1] equal(multiply(sk_c8,sk_c2),identity) | equal(sk_c7,identity).
% 136085 [para:136022.2.2,136043.2.2] equal(inverse(sk_c2),sk_c8) | equal(sk_c8,sk_c7).
% 136087 [para:136085.1.1,134074.1.1.1] equal(multiply(sk_c8,sk_c2),identity) | equal(sk_c8,sk_c7).
% 136106 [para:136039.1.1,134331.1.2.1,demod:134073] equal(inverse(sk_c2),sk_c8) | equal(X,multiply(sk_c7,X)).
% 136357 [para:134084.1.1,134350.2.2.2] equal(sk_c8,multiply(sk_c8,sk_c7)) | equal(inverse(sk_c5),sk_c7).
% 136431 [para:134087.1.1,134352.2.2.2] equal(sk_c8,multiply(sk_c8,sk_c7)) | equal(inverse(sk_c4),sk_c7).
% 136621 [para:134089.1.1,134356.2.2.2] equal(sk_c8,multiply(sk_c8,sk_c7)) | equal(inverse(sk_c3),sk_c9).
% 136745 [para:136621.1.2,134331.1.2.2,demod:134074] equal(inverse(sk_c3),sk_c9) | equal(sk_c7,identity).
% 136753 [para:136745.1.1,134074.1.1.1] equal(multiply(sk_c9,sk_c3),identity) | equal(sk_c7,identity).
% 136773 [para:136753.1.1,134331.1.2.2] equal(sk_c3,multiply(inverse(sk_c9),identity)) | equal(sk_c7,identity).
% 136780 [para:134098.1.1,134358.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c8)) | equal(inverse(sk_c5),sk_c7).
% 136808 [para:136780.1.2,134331.1.2.2,demod:134074] equal(inverse(sk_c5),sk_c7) | equal(sk_c8,identity).
% 136815 [para:136808.2.1,134116.1.1.1,demod:134073] equal(inverse(sk_c5),sk_c7) | equal(sk_c2,identity).
% 136824 [para:136808.2.1,136357.1.2.1,demod:134073] equal(inverse(sk_c5),sk_c7) | equal(sk_c8,sk_c7).
% 136832 [para:134092.1.1,134359.2.2.2] equal(sk_c7,multiply(sk_c7,sk_c6)) | equal(inverse(sk_c1),sk_c9).
% 136848 [para:136815.1.1,134074.1.1.1] equal(multiply(sk_c7,sk_c5),identity) | equal(sk_c2,identity).
% 136857 [para:136824.1.1,134074.1.1.1] equal(multiply(sk_c7,sk_c5),identity) | equal(sk_c8,sk_c7).
% 136952 [para:136857.1.1,134331.1.2.2] equal(sk_c5,multiply(inverse(sk_c7),identity)) | equal(sk_c8,sk_c7).
% 136986 [para:134101.1.1,134362.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c8)) | equal(inverse(sk_c4),sk_c7).
% 137030 [para:134095.1.1,134363.2.2.2] equal(sk_c7,multiply(sk_c7,sk_c8)) | equal(inverse(sk_c1),sk_c9).
% 137064 [para:136832.1.2,134093.1.1] equal(inverse(sk_c1),sk_c9) | equal(sk_c7,sk_c8).
% 137065 [para:136832.1.2,134331.1.2.2,demod:134074] equal(inverse(sk_c1),sk_c9) | equal(sk_c6,identity).
% 137083 [para:137064.2.1,134127.1.1.1] equal(multiply(sk_c8,sk_c5),identity) | equal(inverse(sk_c1),sk_c9).
% 137106 [para:134103.1.1,134364.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c8)) | equal(inverse(sk_c3),sk_c9).
% 137277 [para:136986.1.2,134331.1.2.2,demod:134074] equal(inverse(sk_c4),sk_c7) | equal(sk_c8,identity).
% 137285 [para:137277.2.1,134119.1.1.1,demod:134073] equal(inverse(sk_c4),sk_c7) | equal(sk_c2,identity).
% 137294 [para:137277.2.1,136431.1.2.1,demod:134073] equal(inverse(sk_c4),sk_c7) | equal(sk_c8,sk_c7).
% 137321 [para:134352.2.1,137285.2.2.2.1,demod:134073] equal(inverse(sk_c4),sk_c7) | equal(X,multiply(sk_c8,X)).
% 137323 [para:137294.1.1,134074.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | equal(sk_c8,sk_c7).
% 137404 [para:137323.1.1,134331.1.2.2] equal(sk_c4,multiply(inverse(sk_c7),identity)) | equal(sk_c8,sk_c7).
% 137425 [para:136431.1.2,137321.2.2] equal(inverse(sk_c4),sk_c7) | equal(sk_c7,sk_c8).
% 137428 [para:137425.1.1,134074.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | equal(sk_c7,sk_c8).
% 137524 [para:137030.1.2,134331.1.2.2,demod:134074] equal(inverse(sk_c1),sk_c9) | equal(sk_c8,identity).
% 137532 [para:137524.1.1,134074.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | equal(sk_c8,identity).
% 137559 [para:137532.1.1,134331.1.2.2] equal(sk_c1,multiply(inverse(sk_c9),identity)) | equal(sk_c8,identity).
% 137654 [para:137524.2.1,137083.1.1.1,demod:134073] equal(inverse(sk_c1),sk_c9) | equal(sk_c5,identity).
% 137659 [para:137654.2.1,134092.1.1.1,demod:134073] equal(inverse(sk_c1),sk_c9) | equal(sk_c7,sk_c6).
% 137684 [para:137065.2.2,137659.2.1] equal(inverse(sk_c1),sk_c9) | equal(sk_c7,identity).
% 137691 [para:137684.1.1,134074.1.1.1] equal(multiply(sk_c9,sk_c1),identity) | equal(sk_c7,identity).
% 137761 [para:137691.1.1,134331.1.2.2] equal(sk_c1,multiply(inverse(sk_c9),identity)) | equal(sk_c7,identity).
% 137926 [para:137106.1.2,134331.1.2.2,demod:134074] equal(inverse(sk_c3),sk_c9) | equal(sk_c8,identity).
% 137933 [para:137926.1.1,134074.1.1.1] equal(multiply(sk_c9,sk_c3),identity) | equal(sk_c8,identity).
% 137996 [para:137933.1.1,134331.1.2.2] equal(sk_c3,multiply(inverse(sk_c9),identity)) | equal(sk_c8,identity).
% 138681 [para:137404.1.2,136952.1.2] equal(sk_c5,sk_c4) | equal(sk_c8,sk_c7).
% 138987 [para:137761.1.2,136773.1.2] equal(sk_c3,sk_c1) | equal(sk_c7,identity).
% 139010 [para:138987.1.2,134104.1.1.1] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(sk_c7,identity).
% 139119 [para:139010.1.1,134331.1.2.2] equal(sk_c9,multiply(inverse(sk_c3),sk_c8)) | equal(sk_c7,identity).
% 139200 [para:137996.1.2,137559.1.2] equal(sk_c1,sk_c3) | equal(sk_c8,identity).
% 139211 [para:139200.1.1,134104.1.1.1] equal(multiply(sk_c3,sk_c9),sk_c8) | equal(sk_c8,identity).
% 139315 [para:139211.1.1,134331.1.2.2] equal(sk_c9,multiply(inverse(sk_c3),sk_c8)) | equal(sk_c8,identity).
% 139642 [para:136745.1.1,139119.1.2.1] equal(sk_c9,multiply(sk_c9,sk_c8)) | equal(sk_c7,identity).
% 139660 [para:139642.1.2,134331.1.2.2,demod:134074] equal(sk_c8,identity) | equal(sk_c7,identity).
% 139745 [para:139660.1.1,136071.1.1.1,demod:134073] equal(sk_c2,identity) | equal(sk_c7,identity).
% 139849 [para:139745.2.1,136848.1.1.1,demod:134073] equal(sk_c5,identity) | equal(sk_c2,identity).
% 139993 [para:139849.1.1,136815.1.1.1] equal(inverse(identity),sk_c7) | equal(sk_c2,identity).
% 140266 [para:139993.1.1,134331.1.2.1,demod:134073] equal(sk_c2,identity) | equal(X,multiply(sk_c7,X)).
% 140468 [para:140266.1.1,136106.1.1.1,factor] equal(inverse(identity),sk_c8) | equal(X,multiply(sk_c7,X)).
% 141492 [para:137106.2.1,139315.1.2.1] equal(sk_c9,multiply(sk_c9,sk_c8)) | equal(sk_c8,identity).
% 141503 [para:141492.1.2,134331.1.2.2,demod:134074] equal(sk_c8,identity).
% 141541 [para:141503.1.1,135730.1.1.1,demod:134073] equal(sk_c2,identity) | equal(sk_c7,sk_c8).
% 141551 [para:141503.1.1,136087.1.1.1,demod:134073] equal(sk_c2,identity) | equal(sk_c8,sk_c7).
% 141601 [para:141541.1.1,135723.1.1.1] equal(inverse(identity),sk_c8) | equal(sk_c7,sk_c8).
% 141603 [para:135744.1.1,141541.2.2.2.1,demod:134073] equal(sk_c7,sk_c8) | equal(X,multiply(sk_c8,X)).
% 141837 [para:141551.1.1,134085.1.1.1,demod:134073] equal(multiply(sk_c5,sk_c7),sk_c6) | equal(sk_c8,sk_c7).
% 141838 [para:141551.1.1,134086.1.1.1,demod:134073] equal(multiply(sk_c7,sk_c6),sk_c8) | equal(sk_c8,sk_c7).
% 141839 [para:141551.1.1,134088.1.1.1,demod:134073] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(sk_c8,sk_c7).
% 142023 [para:140468.2.1,141601.2.2.1] equal(inverse(identity),sk_c8) | equal(X,multiply(sk_c8,X)).
% 142231 [para:135744.2.2,141603.2.2] equal(sk_c7,sk_c8) | equal(multiply(sk_c2,X),X).
% 142459 [para:134088.1.1,142231.2.1] equal(multiply(sk_c4,sk_c7),sk_c8) | equal(sk_c7,sk_c8).
% 142733 [para:141837.1.1,134331.1.2.2] equal(sk_c7,multiply(inverse(sk_c5),sk_c6)) | equal(sk_c8,sk_c7).
% 142745 [para:138681.1.1,141837.1.1.1] equal(multiply(sk_c4,sk_c7),sk_c6) | equal(sk_c8,sk_c7).
% 143327 [para:141839.1.1,142745.1.1] equal(sk_c8,sk_c6) | equal(sk_c8,sk_c7).
% 144251 [para:142023.1.1,134331.1.2.1,demod:134073,factor] equal(X,multiply(sk_c8,X)).
% 144611 [para:135730.2.1,134501.2.2.1,demod:144251] equal(sk_c2,identity) | equal(X,multiply(sk_c5,X)).
% 144624 [para:144611.2.2,134209.3.1,demod:144251,binarycut:136815] -equal(sk_c7,sk_c6) | equal(sk_c2,identity) | $spltprd0($spltcnst16).
% 144654 [para:136058.2.2,144624.1.2,demod:144251,cut:134072] equal(sk_c2,identity) | $spltprd0($spltcnst16).
% 144656 [binary:135536,144654.2,cut:135696] equal(sk_c2,identity).
% 146007 [para:136357.2.1,142733.1.2.1,demod:144251] equal(sk_c7,multiply(sk_c7,sk_c6)) | equal(sk_c8,sk_c7).
% 146085 [para:146007.1.2,141838.1.1] equal(sk_c7,sk_c8) | equal(sk_c8,sk_c7).
% 146209 [para:146085.2.2,137428.1.1.1,demod:144251] equal(sk_c4,identity) | equal(sk_c7,sk_c8).
% 146228 [para:146085.1.1,146007.1.2.1,demod:144251] equal(sk_c7,sk_c6) | equal(sk_c8,sk_c7).
% 146370 [para:146209.1.1,142459.1.1.1,demod:134073] equal(sk_c7,sk_c8).
% 146380 [para:146370.1.1,134105.2.1.1,demod:144251] $spltprd0($spltcnst16) | -equal(multiply(X,sk_c7),Y) | -equal(inverse(X),sk_c7) | -equal(Y,sk_c8).
% 146416 [para:146228.1.2,143327.1.2] equal(sk_c8,sk_c7).
% 150339 [para:134077.2.1,134941.1.1,cut:134072] equal(inverse(sk_c2),sk_c8) | $spltprd0($spltcnst16).
% 150342 [binary:135536,150339.2,cut:135696] equal(inverse(sk_c2),sk_c8).
% 150345 [para:144656.1.1,150342.1.1.1] equal(inverse(identity),sk_c8).
% 152089 [binary:134073,146380.2,demod:150345,cut:146416,cut:146370] $spltprd0($spltcnst16).
% 152092 [binary:135536,152089,cut:135696] 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 21
% clause depth limited to 3
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 5704
% derived clauses: 1753575
% kept clauses: 25356
% kept size sum: 423013
% kept mid-nuclei: 120206
% kept new demods: 195
% forw unit-subs: 496886
% forw double-subs: 305331
% forw overdouble-subs: 61495
% backward subs: 6225
% fast unit cutoff: 1903
% full unit cutoff: 0
% dbl unit cutoff: 588
% real runtime : 55.65
% process. runtime: 55.61
% specific non-discr-tree subsumption statistics:
% tried: 563728
% length fails: 49712
% strength fails: 80067
% predlist fails: 4182
% aux str. fails: 84008
% by-lit fails: 109035
% full subs tried: 183581
% full subs fail: 125858
%
% ; 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/GRP265-1+eq_r.in")
%
%------------------------------------------------------------------------------