TSTP Solution File: GRP253-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP253-1 : 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 : art09.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 20.0s
% Output : Assurance 20.0s
% 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/GRP253-1+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 17)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 17)
% (binary-posweight-lex-big-order 30 #f 3 17)
% (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(Y,sk_c6),sk_c5) | -equal(inverse(Y),sk_c6) | -equal(inverse(Z),sk_c6) | -equal(multiply(Z,sk_c5),sk_c6) | -equal(multiply(U,sk_c7),sk_c6) | -equal(inverse(U),sk_c7) | -equal(inverse(sk_c5),sk_c6).
% was split for some strategies as:
% -equal(multiply(U,sk_c7),sk_c6) | -equal(inverse(U),sk_c7).
% -equal(inverse(Z),sk_c6) | -equal(multiply(Z,sk_c5),sk_c6).
% -equal(multiply(Y,sk_c6),sk_c5) | -equal(inverse(Y),sk_c6).
% -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% -equal(inverse(sk_c5),sk_c6).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(23,40,1,51,0,1,71073,50,965,71073,40,965,71101,0,965,82987,3,1266,83659,4,1416,84306,1,1566,84306,50,1566,84306,40,1566,84334,0,1566,84487,3,1875,84495,4,2017,84503,5,2167,84503,1,2167,84503,50,2167,84503,40,2167,84531,0,2167)
%
%
% START OF PROOF
% 84377 [?] ?
% 84504 [] equal(X,X).
% 84505 [] equal(multiply(identity,X),X).
% 84506 [] equal(multiply(inverse(X),X),identity).
% 84507 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 84509 [] equal(multiply(sk_c3,sk_c5),sk_c6) | equal(inverse(sk_c5),sk_c6).
% 84510 [] equal(multiply(sk_c3,sk_c5),sk_c6) | equal(inverse(sk_c4),sk_c7).
% 84511 [] equal(multiply(sk_c3,sk_c5),sk_c6) | equal(multiply(sk_c4,sk_c7),sk_c6).
% 84512 [] equal(inverse(sk_c3),sk_c6) | equal(inverse(sk_c5),sk_c6).
% 84513 [] equal(inverse(sk_c3),sk_c6) | equal(inverse(sk_c4),sk_c7).
% 84514 [] equal(multiply(sk_c4,sk_c7),sk_c6) | equal(inverse(sk_c3),sk_c6).
% 84515 [] equal(inverse(sk_c2),sk_c6) | equal(inverse(sk_c5),sk_c6).
% 84516 [] equal(inverse(sk_c2),sk_c6) | equal(inverse(sk_c4),sk_c7).
% 84517 [] equal(multiply(sk_c4,sk_c7),sk_c6) | equal(inverse(sk_c2),sk_c6).
% 84518 [] equal(multiply(sk_c2,sk_c6),sk_c5) | equal(inverse(sk_c5),sk_c6).
% 84519 [] equal(multiply(sk_c2,sk_c6),sk_c5) | equal(inverse(sk_c4),sk_c7).
% 84520 [] equal(multiply(sk_c2,sk_c6),sk_c5) | equal(multiply(sk_c4,sk_c7),sk_c6).
% 84521 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c5),sk_c6).
% 84522 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c4),sk_c7).
% 84523 [] equal(multiply(sk_c4,sk_c7),sk_c6) | equal(inverse(sk_c1),sk_c7).
% 84524 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(inverse(sk_c5),sk_c6).
% 84525 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(inverse(sk_c4),sk_c7).
% 84526 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(multiply(sk_c4,sk_c7),sk_c6).
% 84527 [] -equal(inverse(sk_c5),sk_c6) | $spltprd0($spltcnst13) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 84528 [] $spltprd0($spltcnst14) | -equal(multiply(X,sk_c5),sk_c6) | -equal(inverse(X),sk_c6).
% 84529 [] $spltprd0($spltcnst15) | -equal(multiply(X,sk_c6),sk_c5) | -equal(inverse(X),sk_c6).
% 84530 [] $spltprd0($spltcnst16) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 84531 [] -$spltprd0($spltcnst14) | -$spltprd0($spltcnst13) | -$spltprd0($spltcnst16) | -$spltprd0($spltcnst15).
% 84536 [para:84512.1.1,84506.1.1.1] equal(multiply(sk_c6,sk_c3),identity) | equal(inverse(sk_c5),sk_c6).
% 84548 [para:84516.1.1,84506.1.1.1] equal(multiply(sk_c6,sk_c2),identity) | equal(inverse(sk_c4),sk_c7).
% 84551 [para:84521.1.1,84506.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | equal(inverse(sk_c5),sk_c6).
% 84552 [para:84521.2.1,84506.1.1.1] equal(multiply(sk_c6,sk_c5),identity) | equal(inverse(sk_c1),sk_c7).
% 84556 [para:84522.2.1,84506.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | equal(inverse(sk_c1),sk_c7).
% 84564 [para:84514.2.1,84506.1.1.1] equal(multiply(sk_c6,sk_c3),identity) | equal(multiply(sk_c4,sk_c7),sk_c6).
% 84606 [para:84521.2.1,84527.1.1,cut:84504] equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst13) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 84617 [para:84505.1.1,84528.2.1] -equal(inverse(identity),sk_c6) | -equal(sk_c5,sk_c6) | $spltprd0($spltcnst14).
% 84620 [para:84509.1.1,84528.2.1,cut:84504,binarycut:84512] equal(inverse(sk_c5),sk_c6) | $spltprd0($spltcnst14).
% 84622 [para:84510.1.1,84528.2.1,cut:84504,binarycut:84513] equal(inverse(sk_c4),sk_c7) | $spltprd0($spltcnst14).
% 84631 [para:84620.1.1,84506.1.1.1] equal(multiply(sk_c6,sk_c5),identity) | $spltprd0($spltcnst14).
% 84638 [para:84518.1.1,84529.2.1,cut:84504,binarycut:84515] equal(inverse(sk_c5),sk_c6) | $spltprd0($spltcnst15).
% 84640 [para:84519.1.1,84529.2.1,cut:84504,binarycut:84516] equal(inverse(sk_c4),sk_c7) | $spltprd0($spltcnst15).
% 84641 [para:84520.1.1,84529.2.1,cut:84504] equal(multiply(sk_c4,sk_c7),sk_c6) | -equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst15).
% 84643 [para:84622.1.1,84506.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | $spltprd0($spltcnst14).
% 84646 [para:84638.1.1,84506.1.1.1] equal(multiply(sk_c6,sk_c5),identity) | $spltprd0($spltcnst15).
% 84649 [para:84640.1.1,84506.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | $spltprd0($spltcnst15).
% 84665 [para:84525.1.1,84530.2.1,cut:84504,binarycut:84522] equal(inverse(sk_c4),sk_c7) | $spltprd0($spltcnst16).
% 84670 [para:84526.2.1,84530.2.1,cut:84504,binarycut:84665] equal(multiply(sk_c1,sk_c7),sk_c6) | $spltprd0($spltcnst16).
% 84681 [para:84506.1.1,84507.1.1.1,demod:84505] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 84689 [para:84511.2.1,84507.1.1.1] equal(multiply(sk_c3,sk_c5),sk_c6) | equal(multiply(sk_c6,X),multiply(sk_c4,multiply(sk_c7,X))).
% 84693 [para:84536.1.1,84507.1.1.1,demod:84505] equal(inverse(sk_c5),sk_c6) | equal(X,multiply(sk_c6,multiply(sk_c3,X))).
% 84701 [para:84548.1.1,84507.1.1.1,demod:84505] equal(inverse(sk_c4),sk_c7) | equal(X,multiply(sk_c6,multiply(sk_c2,X))).
% 84705 [para:84551.1.1,84507.1.1.1,demod:84505] equal(inverse(sk_c5),sk_c6) | equal(X,multiply(sk_c7,multiply(sk_c1,X))).
% 84708 [para:84556.1.1,84507.1.1.1,demod:84505] equal(inverse(sk_c1),sk_c7) | equal(X,multiply(sk_c7,multiply(sk_c4,X))).
% 84714 [para:84564.2.1,84507.1.1.1] equal(multiply(sk_c6,sk_c3),identity) | equal(multiply(sk_c6,X),multiply(sk_c4,multiply(sk_c7,X))).
% 84720 [para:84646.1.1,84507.1.1.1,demod:84505] $spltprd0($spltcnst15) | equal(X,multiply(sk_c6,multiply(sk_c5,X))).
% 84721 [para:84649.1.1,84507.1.1.1,demod:84505] $spltprd0($spltcnst15) | equal(X,multiply(sk_c7,multiply(sk_c4,X))).
% 84724 [para:84670.1.1,84530.2.1,cut:84504] -equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst16).
% 84727 [para:84523.2.1,84724.1.1,cut:84504] equal(multiply(sk_c4,sk_c7),sk_c6) | $spltprd0($spltcnst16).
% 84737 [para:84727.1.1,84530.2.1,cut:84504,binarycut:84665] $spltprd0($spltcnst16).
% 84739 [para:84509.1.1,84681.1.2.2] equal(sk_c5,multiply(inverse(sk_c3),sk_c6)) | equal(inverse(sk_c5),sk_c6).
% 84740 [para:84510.1.1,84681.1.2.2] equal(sk_c5,multiply(inverse(sk_c3),sk_c6)) | equal(inverse(sk_c4),sk_c7).
% 84744 [para:84518.1.1,84681.1.2.2] equal(sk_c6,multiply(inverse(sk_c2),sk_c5)) | equal(inverse(sk_c5),sk_c6).
% 84791 [para:84643.1.1,84681.1.2.2] equal(sk_c4,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst14).
% 84792 [para:84646.1.1,84681.1.2.2] equal(sk_c5,multiply(inverse(sk_c6),identity)) | $spltprd0($spltcnst15).
% 84802 [para:84791.1.2,84507.1.1.1,demod:84505] $spltprd0($spltcnst14) | equal(multiply(sk_c4,X),multiply(inverse(sk_c7),X)).
% 84804 [para:84792.1.2,84507.1.1.1,demod:84505] $spltprd0($spltcnst15) | equal(multiply(sk_c5,X),multiply(inverse(sk_c6),X)).
% 84926 [para:84802.2.2,84506.1.1] equal(multiply(sk_c4,sk_c7),identity) | $spltprd0($spltcnst14).
% 84931 [para:84802.2.2,84681.1.2] $spltprd0($spltcnst14) | equal(X,multiply(sk_c4,multiply(sk_c7,X))).
% 84933 [para:84802.2.2,84791.1.2] equal(sk_c4,multiply(sk_c4,identity)) | $spltprd0($spltcnst14).
% 84943 [para:84926.1.1,84523.1.1] equal(inverse(sk_c1),sk_c7) | equal(identity,sk_c6) | $spltprd0($spltcnst14).
% 85027 [para:84943.2.2,84552.1.1.1,demod:84505] equal(inverse(sk_c1),sk_c7) | equal(sk_c5,identity) | $spltprd0($spltcnst14).
% 85032 [para:84943.2.2,84617.1.2,cut:84377] equal(inverse(sk_c1),sk_c7) | -equal(sk_c5,sk_c6) | $spltprd0($spltcnst14).
% 85117 [para:84943.2.2,85032.2.2] equal(inverse(sk_c1),sk_c7) | -equal(sk_c5,identity) | $spltprd0($spltcnst14).
% 85302 [para:84523.1.1,84606.3.1,cut:84504] -equal(inverse(sk_c4),sk_c7) | equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst13).
% 85316 [para:85027.2.1,85117.2.1,cut:84504] equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst14).
% 85318 [para:85316.1.1,84506.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | $spltprd0($spltcnst14).
% 85334 [para:85318.1.1,84931.2.2.2] equal(sk_c1,multiply(sk_c4,identity)) | $spltprd0($spltcnst14).
% 85341 [para:85334.1.2,84933.1.2] equal(sk_c4,sk_c1) | $spltprd0($spltcnst14).
% 85345 [para:85341.1.2,84526.1.1.1] equal(multiply(sk_c4,sk_c7),sk_c6) | $spltprd0($spltcnst14).
% 85369 [para:85345.1.1,84926.1.1] equal(sk_c6,identity) | $spltprd0($spltcnst14).
% 85376 [para:85369.1.1,84631.1.1.1,demod:84505] equal(sk_c5,identity) | $spltprd0($spltcnst14).
% 85381 [?] ?
% 85421 [para:85376.1.1,84620.1.1.1,binarycut:85381] $spltprd0($spltcnst14).
% 85422 [binary:84531,85421,cut:84737] -$spltprd0($spltcnst13) | -$spltprd0($spltcnst15).
% 85443 [para:84804.2.2,84506.1.1] equal(multiply(sk_c5,sk_c6),identity) | $spltprd0($spltcnst15).
% 85447 [para:84804.2.2,84792.1.2] equal(sk_c5,multiply(sk_c5,identity)) | $spltprd0($spltcnst15).
% 85460 [para:85443.1.1,84529.2.1,binarycut:84638] -equal(identity,sk_c5) | $spltprd0($spltcnst15).
% 85465 [para:85447.1.2,84720.2.2.2] equal(identity,multiply(sk_c6,sk_c5)) | $spltprd0($spltcnst15).
% 85476 [para:84517.2.1,84641.2.1,cut:84504] equal(multiply(sk_c4,sk_c7),sk_c6) | $spltprd0($spltcnst15).
% 85481 [para:85476.1.1,84721.2.2.2] equal(sk_c7,multiply(sk_c7,sk_c6)) | $spltprd0($spltcnst15).
% 85485 [para:85481.1.2,84681.1.2.2,demod:84506] equal(sk_c6,identity) | $spltprd0($spltcnst15).
% 85506 [para:85485.1.1,85465.1.2.1,demod:84505,binarycut:85460] $spltprd0($spltcnst15).
% 85510 [para:84512.1.1,84739.1.2.1] equal(sk_c5,multiply(sk_c6,sk_c6)) | equal(inverse(sk_c5),sk_c6).
% 85523 [para:84513.1.1,84740.1.2.1] equal(sk_c5,multiply(sk_c6,sk_c6)) | equal(inverse(sk_c4),sk_c7).
% 86410 [para:84515.1.1,84744.1.2.1] equal(sk_c6,multiply(sk_c6,sk_c5)) | equal(inverse(sk_c5),sk_c6).
% 86422 [para:86410.1.2,84681.1.2.2,demod:84506] equal(inverse(sk_c5),sk_c6) | equal(sk_c5,identity).
% 86432 [para:86422.1.1,84506.1.1.1] equal(multiply(sk_c6,sk_c5),identity) | equal(sk_c5,identity).
% 86438 [para:86422.2.1,84509.1.1.2] equal(multiply(sk_c3,identity),sk_c6) | equal(inverse(sk_c5),sk_c6).
% 86476 [para:84693.1.1,86438.2.2.2] equal(identity,multiply(sk_c6,sk_c6)) | equal(inverse(sk_c5),sk_c6).
% 86706 [para:85510.1.2,86476.1.2] equal(inverse(sk_c5),sk_c6) | equal(identity,sk_c5).
% 86720 [para:86706.1.1,84506.1.1.1] equal(multiply(sk_c6,sk_c5),identity) | equal(identity,sk_c5).
% 86732 [para:86720.1.1,84681.1.2.2] equal(sk_c5,multiply(inverse(sk_c6),identity)) | equal(identity,sk_c5).
% 86786 [para:84519.1.1,84701.2.2.2] equal(sk_c6,multiply(sk_c6,sk_c5)) | equal(inverse(sk_c4),sk_c7).
% 86963 [para:84524.1.1,84705.2.2.2] equal(sk_c7,multiply(sk_c7,sk_c6)) | equal(inverse(sk_c5),sk_c6).
% 86981 [para:86963.1.2,84681.1.2.2,demod:84506] equal(inverse(sk_c5),sk_c6) | equal(sk_c6,identity).
% 86997 [para:86981.1.1,84506.1.1.1] equal(multiply(sk_c6,sk_c5),identity) | equal(sk_c6,identity).
% 87001 [para:86981.2.1,84536.1.1.1,demod:84505] equal(inverse(sk_c5),sk_c6) | equal(sk_c3,identity).
% 87026 [para:87001.2.1,84512.1.1.1] equal(inverse(identity),sk_c6) | equal(inverse(sk_c5),sk_c6).
% 87193 [para:84523.1.1,84708.2.2.2] equal(sk_c7,multiply(sk_c7,sk_c6)) | equal(inverse(sk_c1),sk_c7).
% 87449 [para:86997.1.1,86786.1.2] equal(inverse(sk_c4),sk_c7) | equal(sk_c6,identity).
% 87453 [para:87449.1.1,84506.1.1.1] equal(multiply(sk_c7,sk_c4),identity) | equal(sk_c6,identity).
% 87627 [para:87453.1.1,84681.1.2.2] equal(sk_c4,multiply(inverse(sk_c7),identity)) | equal(sk_c6,identity).
% 88254 [para:87193.1.2,84681.1.2.2,demod:84506] equal(inverse(sk_c1),sk_c7) | equal(sk_c6,identity).
% 88267 [para:88254.1.1,84506.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | equal(sk_c6,identity).
% 88353 [para:88267.1.1,84681.1.2.2] equal(sk_c1,multiply(inverse(sk_c7),identity)) | equal(sk_c6,identity).
% 88692 [para:88353.1.2,87627.1.2] equal(sk_c4,sk_c1) | equal(sk_c6,identity).
% 88698 [para:88692.1.2,84526.1.1.1] equal(multiply(sk_c4,sk_c7),sk_c6) | equal(sk_c6,identity).
% 88945 [para:88698.2.1,84564.1.1.1,demod:84505] equal(multiply(sk_c4,sk_c7),sk_c6) | equal(sk_c3,identity).
% 88948 [para:88698.1.1,84681.1.2.2] equal(sk_c7,multiply(inverse(sk_c4),sk_c6)) | equal(sk_c6,identity).
% 88989 [para:88945.2.1,84511.1.1.1,demod:84505] equal(multiply(sk_c4,sk_c7),sk_c6) | equal(sk_c5,sk_c6).
% 89016 [para:88989.1.1,84681.1.2.2] equal(sk_c7,multiply(inverse(sk_c4),sk_c6)) | equal(sk_c5,sk_c6).
% 89254 [para:87449.1.1,88948.1.2.1] equal(sk_c7,multiply(sk_c7,sk_c6)) | equal(sk_c6,identity).
% 89262 [para:89254.1.2,84681.1.2.2,demod:84506] equal(sk_c6,identity).
% 89316 [para:89262.1.1,86432.1.1.1,demod:84505] equal(sk_c5,identity).
% 89361 [para:87026.1.1,89316.2.1.1] equal(inverse(identity),sk_c6).
% 89373 [para:89361.1.1,84681.1.2.1,demod:84505] equal(X,multiply(sk_c6,X)).
% 89374 [para:89373.1.2,84681.1.2.2] equal(X,multiply(inverse(sk_c6),X)).
% 89392 [para:89373.1.2,84714.1.1,demod:89373] equal(sk_c3,identity) | equal(X,multiply(sk_c4,multiply(sk_c7,X))).
% 89414 [para:86732.1.2,89374.1.2] equal(identity,sk_c5).
% 89416 [para:89414.1.2,84527.1.1.1,demod:89361,cut:84504] $spltprd0($spltcnst13) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 89676 [para:85523.2.1,89016.1.2.1,demod:89373] equal(sk_c7,multiply(sk_c7,sk_c6)) | equal(sk_c5,sk_c6).
% 89709 [para:89262.1.1,89676.1.2.2] equal(sk_c7,multiply(sk_c7,identity)) | equal(sk_c5,sk_c6).
% 90046 [para:89392.1.1,84689.1.1.1,demod:89373,84505,factor] equal(sk_c5,sk_c6) | equal(X,multiply(sk_c4,multiply(sk_c7,X))).
% 90250 [para:89709.1.2,90046.2.2.2] equal(identity,multiply(sk_c4,sk_c7)) | equal(sk_c5,sk_c6).
% 90364 [para:90250.1.2,88989.1.1] equal(identity,sk_c6) | equal(sk_c5,sk_c6).
% 90395 [para:89316.1.1,90364.2.1] equal(identity,sk_c6).
% 90487 [para:84522.2.1,85302.1.1,cut:84504] equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst13).
% 90491 [binary:85422,90487.2,cut:85506] equal(inverse(sk_c1),sk_c7).
% 90492 [para:90491.1.1,84506.1.1.1] equal(multiply(sk_c7,sk_c1),identity).
% 90494 [para:90492.1.1,84681.1.2.2] equal(sk_c1,multiply(inverse(sk_c7),identity)).
% 90504 [para:90494.1.2,84507.1.1.1,demod:84505] equal(multiply(sk_c1,X),multiply(inverse(sk_c7),X)).
% 90546 [para:90504.1.2,84506.1.1] equal(multiply(sk_c1,sk_c7),identity).
% 91427 [para:90546.1.1,89416.2.1,demod:90491,cut:90395,cut:84504] $spltprd0($spltcnst13).
% 91428 [binary:85422,91427,cut:85506] 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
% clause length limited to 17
% clause depth limited to 3
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 4630
% derived clauses: 718368
% kept clauses: 15726
% kept size sum: 238582
% kept mid-nuclei: 70624
% kept new demods: 203
% forw unit-subs: 206254
% forw double-subs: 231337
% forw overdouble-subs: 34153
% backward subs: 1100
% fast unit cutoff: 1342
% full unit cutoff: 0
% dbl unit cutoff: 370
% real runtime : 26.23
% process. runtime: 25.89
% specific non-discr-tree subsumption statistics:
% tried: 169125
% length fails: 15528
% strength fails: 29503
% predlist fails: 1303
% aux str. fails: 16531
% by-lit fails: 33125
% full subs tried: 55414
% full subs fail: 23681
%
% ; 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/GRP253-1+eq_r.in")
%
%------------------------------------------------------------------------------