TSTP Solution File: GRP303-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP303-1 : TPTP v3.4.2. Released v2.5.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art10.cs.miami.edu
% Model : i686 unknown
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1000MB
% OS : Linux 2.4.22-21mdk-i686-up-4GB
% CPULimit : 600s
% Result : Unsatisfiable 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/GRP303-1+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(sk_c7,sk_c6),sk_c5) | -equal(multiply(sk_c6,sk_c7),sk_c5) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7) | -equal(multiply(Y,sk_c6),sk_c7) | -equal(inverse(Y),sk_c6) | -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_c6),sk_c7) | -equal(inverse(Y),sk_c6).
% -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% -equal(multiply(sk_c7,sk_c6),sk_c5).
% -equal(multiply(sk_c6,sk_c7),sk_c5).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(26,40,0,57,0,0,1965,50,17,1996,0,17,3937,50,36,3968,0,36,5920,50,54,5951,0,54,7913,50,72,7944,0,72,9917,50,98,9948,0,98,11933,50,141,11964,0,141,13961,50,224,13992,0,224,16003,50,360,16034,0,360,18059,50,602,18090,0,602,20131,50,1085,20131,40,1085,20162,0,1085,30774,3,1386,31464,4,1536,32165,5,1686,32166,1,1686,32166,50,1686,32166,40,1686,32197,0,1686,32393,3,2004,32401,4,2154,32409,5,2287,32409,1,2287,32409,50,2287,32409,40,2287,32440,0,2287)
%
%
% START OF PROOF
% 32248 [?] ?
% 32410 [] equal(X,X).
% 32411 [] equal(multiply(identity,X),X).
% 32412 [] equal(multiply(inverse(X),X),identity).
% 32413 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 32415 [] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(inverse(sk_c2),sk_c6).
% 32416 [] equal(inverse(sk_c2),sk_c6) | equal(inverse(sk_c4),sk_c6).
% 32417 [] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(inverse(sk_c2),sk_c6).
% 32418 [] equal(inverse(sk_c2),sk_c6) | equal(inverse(sk_c3),sk_c7).
% 32419 [] equal(multiply(sk_c2,sk_c6),sk_c7) | equal(multiply(sk_c4,sk_c5),sk_c6).
% 32420 [] equal(multiply(sk_c2,sk_c6),sk_c7) | equal(inverse(sk_c4),sk_c6).
% 32421 [] equal(multiply(sk_c2,sk_c6),sk_c7) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 32422 [] equal(multiply(sk_c2,sk_c6),sk_c7) | equal(inverse(sk_c3),sk_c7).
% 32423 [] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(inverse(sk_c1),sk_c7).
% 32424 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c4),sk_c6).
% 32425 [] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(inverse(sk_c1),sk_c7).
% 32426 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c3),sk_c7).
% 32427 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(multiply(sk_c4,sk_c5),sk_c6).
% 32428 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(inverse(sk_c4),sk_c6).
% 32429 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 32430 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(inverse(sk_c3),sk_c7).
% 32431 [] equal(multiply(sk_c6,sk_c7),sk_c5).
% 32434 [] equal(multiply(sk_c7,sk_c6),sk_c5) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 32436 [?] ?
% 32437 [] $spltprd0($spltcnst14) | -equal(multiply(X,sk_c6),sk_c7) | -equal(inverse(X),sk_c7).
% 32438 [] $spltprd0($spltcnst15) | -equal(multiply(X,sk_c6),sk_c7) | -equal(inverse(X),sk_c6).
% 32439 [] $spltprd0($spltcnst16) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 32440 [] -$spltprd0($spltcnst14) | -$spltprd0($spltcnst13) | -$spltprd0($spltcnst16) | -$spltprd0($spltcnst15).
% 32442 [para:32416.1.1,32412.1.1.1] equal(multiply(sk_c6,sk_c2),identity) | equal(inverse(sk_c4),sk_c6).
% 32446 [para:32418.1.1,32412.1.1.1] equal(multiply(sk_c6,sk_c2),identity) | equal(inverse(sk_c3),sk_c7).
% 32449 [para:32424.1.1,32412.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | equal(inverse(sk_c4),sk_c6).
% 32452 [para:32426.1.1,32412.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | equal(inverse(sk_c3),sk_c7).
% 32456 [para:32415.2.1,32412.1.1.1] equal(multiply(sk_c6,sk_c2),identity) | equal(multiply(sk_c4,sk_c5),sk_c6).
% 32458 [para:32417.2.1,32412.1.1.1] equal(multiply(sk_c6,sk_c2),identity) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 32464 [para:32423.2.1,32412.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | equal(multiply(sk_c4,sk_c5),sk_c6).
% 32466 [para:32425.2.1,32412.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | equal(multiply(sk_c3,sk_c6),sk_c7).
% 32498 [input:32436,cut:32410] -equal(multiply(sk_c7,sk_c6),sk_c5) | $spltprd0($spltcnst13) | -equal(multiply(X,sk_c5),sk_c6) | -equal(inverse(X),sk_c6).
% 32502 [para:32434.1.1,32498.1.1,cut:32410] equal(multiply(sk_c3,sk_c6),sk_c7) | $spltprd0($spltcnst13) | -equal(multiply(X,sk_c5),sk_c6) | -equal(inverse(X),sk_c6).
% 32507 [para:32411.1.1,32437.2.1] -equal(inverse(identity),sk_c7) | -equal(sk_c6,sk_c7) | $spltprd0($spltcnst14).
% 32509 [para:32417.1.1,32437.2.1,cut:32410] -equal(inverse(sk_c3),sk_c7) | equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst14).
% 32512 [para:32425.1.1,32437.2.1,cut:32410] -equal(inverse(sk_c3),sk_c7) | equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst14).
% 32517 [para:32421.2.1,32437.2.1,cut:32410] equal(multiply(sk_c2,sk_c6),sk_c7) | -equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst14).
% 32518 [para:32429.2.1,32437.2.1,cut:32410] equal(multiply(sk_c1,sk_c7),sk_c6) | -equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst14).
% 32531 [para:32420.1.1,32438.2.1,cut:32410,binarycut:32416] equal(inverse(sk_c4),sk_c6) | $spltprd0($spltcnst15).
% 32533 [para:32422.1.1,32438.2.1,cut:32410,binarycut:32418] equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst15).
% 32535 [para:32419.1.1,32438.2.1,cut:32410] equal(multiply(sk_c4,sk_c5),sk_c6) | -equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst15).
% 32536 [para:32421.1.1,32438.2.1,cut:32410] equal(multiply(sk_c3,sk_c6),sk_c7) | -equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst15).
% 32546 [para:32531.1.1,32412.1.1.1] equal(multiply(sk_c6,sk_c4),identity) | $spltprd0($spltcnst15).
% 32548 [para:32533.1.1,32412.1.1.1] equal(multiply(sk_c7,sk_c3),identity) | $spltprd0($spltcnst15).
% 32553 [para:32411.1.1,32439.2.1] -equal(inverse(identity),sk_c7) | -equal(sk_c7,sk_c6) | $spltprd0($spltcnst16).
% 32557 [para:32428.1.1,32439.2.1,cut:32410,binarycut:32424] equal(inverse(sk_c4),sk_c6) | $spltprd0($spltcnst16).
% 32559 [para:32430.1.1,32439.2.1,cut:32410,binarycut:32426] equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst16).
% 32560 [para:32427.1.1,32439.2.1,cut:32410] equal(multiply(sk_c4,sk_c5),sk_c6) | -equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst16).
% 32561 [para:32429.1.1,32439.2.1,cut:32410] equal(multiply(sk_c3,sk_c6),sk_c7) | -equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst16).
% 32563 [para:32557.1.1,32412.1.1.1] equal(multiply(sk_c6,sk_c4),identity) | $spltprd0($spltcnst16).
% 32565 [para:32559.1.1,32412.1.1.1] equal(multiply(sk_c7,sk_c3),identity) | $spltprd0($spltcnst16).
% 32569 [para:32431.1.1,32413.1.1.1] equal(multiply(sk_c5,X),multiply(sk_c6,multiply(sk_c7,X))).
% 32570 [para:32412.1.1,32413.1.1.1,demod:32411] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 32583 [para:32442.1.1,32413.1.1.1,demod:32411] equal(inverse(sk_c4),sk_c6) | equal(X,multiply(sk_c6,multiply(sk_c2,X))).
% 32587 [para:32446.1.1,32413.1.1.1,demod:32411] equal(inverse(sk_c3),sk_c7) | equal(X,multiply(sk_c6,multiply(sk_c2,X))).
% 32601 [para:32456.1.1,32413.1.1.1,demod:32411] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(X,multiply(sk_c6,multiply(sk_c2,X))).
% 32628 [para:32431.1.1,32570.1.2.2] equal(sk_c7,multiply(inverse(sk_c6),sk_c5)).
% 32681 [para:32546.1.1,32570.1.2.2] equal(sk_c4,multiply(inverse(sk_c6),identity)) | $spltprd0($spltcnst15).
% 32682 [para:32548.1.1,32570.1.2.2] equal(sk_c3,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst15).
% 32683 [para:32563.1.1,32570.1.2.2] equal(sk_c4,multiply(inverse(sk_c6),identity)) | $spltprd0($spltcnst16).
% 32684 [para:32565.1.1,32570.1.2.2] equal(sk_c3,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst16).
% 32685 [para:32569.1.2,32570.1.2.2] equal(multiply(sk_c7,X),multiply(inverse(sk_c6),multiply(sk_c5,X))).
% 32690 [para:32681.1.2,32413.1.1.1,demod:32411] $spltprd0($spltcnst15) | equal(multiply(sk_c4,X),multiply(inverse(sk_c6),X)).
% 32697 [para:32682.1.2,32413.1.1.1,demod:32411] $spltprd0($spltcnst15) | equal(multiply(sk_c3,X),multiply(inverse(sk_c7),X)).
% 32699 [para:32683.1.2,32413.1.1.1,demod:32411] $spltprd0($spltcnst16) | equal(multiply(sk_c4,X),multiply(inverse(sk_c6),X)).
% 32701 [para:32684.1.2,32413.1.1.1,demod:32411] $spltprd0($spltcnst16) | equal(multiply(sk_c3,X),multiply(inverse(sk_c7),X)).
% 32755 [para:32690.2.2,32412.1.1] equal(multiply(sk_c4,sk_c6),identity) | $spltprd0($spltcnst15).
% 32761 [para:32690.2.2,32628.1.2] equal(sk_c7,multiply(sk_c4,sk_c5)) | $spltprd0($spltcnst15).
% 32770 [para:32755.1.1,32438.2.1,binarycut:32531] -equal(identity,sk_c7) | $spltprd0($spltcnst15).
% 32898 [para:32697.2.2,32412.1.1] equal(multiply(sk_c3,sk_c7),identity) | $spltprd0($spltcnst15).
% 32966 [para:32699.2.2,32628.1.2] equal(sk_c7,multiply(sk_c4,sk_c5)) | $spltprd0($spltcnst16).
% 33082 [para:32701.2.2,32412.1.1] equal(multiply(sk_c3,sk_c7),identity) | $spltprd0($spltcnst16).
% 33153 [para:32418.2.1,32509.1.1,cut:32410] equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst14).
% 33157 [para:33153.1.1,32570.1.2.1] $spltprd0($spltcnst14) | equal(X,multiply(sk_c6,multiply(sk_c2,X))).
% 33229 [para:32426.2.1,32512.1.1,cut:32410] equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst14).
% 33231 [para:33229.1.1,32412.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | $spltprd0($spltcnst14).
% 33233 [para:33229.1.1,32570.1.2.1] $spltprd0($spltcnst14) | equal(X,multiply(sk_c7,multiply(sk_c1,X))).
% 33338 [para:32422.2.1,32517.2.1,cut:32410] equal(multiply(sk_c2,sk_c6),sk_c7) | $spltprd0($spltcnst14).
% 33347 [para:33338.1.1,33157.2.2.2,demod:32431] equal(sk_c6,sk_c5) | $spltprd0($spltcnst14).
% 33367 [para:33347.1.1,32628.1.2.1.1,demod:32412] equal(sk_c7,identity) | $spltprd0($spltcnst14).
% 33405 [para:33367.1.1,32507.1.2,cut:32248] -equal(sk_c6,sk_c7) | $spltprd0($spltcnst14).
% 33425 [para:33367.1.1,33231.1.1.1,demod:32411] equal(sk_c1,identity) | $spltprd0($spltcnst14).
% 33432 [para:32430.2.1,32518.2.1,cut:32410] equal(multiply(sk_c1,sk_c7),sk_c6) | $spltprd0($spltcnst14).
% 33451 [para:33425.1.1,33233.2.2.2.1,demod:32411] $spltprd0($spltcnst14) | equal(X,multiply(sk_c7,X)).
% 33488 [para:33233.2.2,33451.2.2] $spltprd0($spltcnst14) | equal(multiply(sk_c1,X),X).
% 33553 [para:33432.1.1,33488.2.1,binarycut:33405] $spltprd0($spltcnst14).
% 33554 [binary:32440,33553] -$spltprd0($spltcnst16) | -$spltprd0($spltcnst15) | -$spltprd0($spltcnst13).
% 33613 [para:32415.2.1,32535.2.1,cut:32410] equal(multiply(sk_c4,sk_c5),sk_c6) | $spltprd0($spltcnst15).
% 33618 [para:33613.1.1,32761.1.2] equal(sk_c7,sk_c6) | $spltprd0($spltcnst15).
% 33641 [para:33618.1.1,32898.1.1.2] equal(multiply(sk_c3,sk_c6),identity) | $spltprd0($spltcnst15).
% 33653 [para:32417.2.1,32536.2.1,cut:32410] equal(multiply(sk_c3,sk_c6),sk_c7) | $spltprd0($spltcnst15).
% 33698 [para:33641.1.1,33653.1.1,binarycut:32770] $spltprd0($spltcnst15).
% 33701 [para:32423.2.1,32560.2.1,cut:32410] equal(multiply(sk_c4,sk_c5),sk_c6) | $spltprd0($spltcnst16).
% 33706 [para:33701.1.1,32966.1.2] equal(sk_c7,sk_c6) | $spltprd0($spltcnst16).
% 33728 [para:33706.1.1,33082.1.1.2] equal(multiply(sk_c3,sk_c6),identity) | $spltprd0($spltcnst16).
% 33740 [para:32425.2.1,32561.2.1,cut:32410] equal(multiply(sk_c3,sk_c6),sk_c7) | $spltprd0($spltcnst16).
% 33807 [para:33740.1.1,33728.1.1] equal(sk_c7,identity) | $spltprd0($spltcnst16).
% 33817 [para:33807.1.1,32553.1.2,cut:32248,binarycut:33706] $spltprd0($spltcnst16).
% 33819 [binary:33554,33817,cut:33698] -$spltprd0($spltcnst13).
% 33878 [para:32420.1.1,32583.2.2.2,demod:32431] equal(inverse(sk_c4),sk_c6) | equal(sk_c6,sk_c5).
% 33887 [para:33878.2.1,32420.1.1.2] equal(multiply(sk_c2,sk_c5),sk_c7) | equal(inverse(sk_c4),sk_c6).
% 33894 [para:33878.2.1,32628.1.2.1.1,demod:32412] equal(inverse(sk_c4),sk_c6) | equal(sk_c7,identity).
% 33909 [para:33894.2.1,32449.1.1.1,demod:32411] equal(inverse(sk_c4),sk_c6) | equal(sk_c1,identity).
% 33916 [para:33909.2.1,32428.1.1.1,demod:32411] equal(inverse(sk_c4),sk_c6) | equal(sk_c7,sk_c6).
% 33927 [para:33894.2.1,33916.2.1] equal(inverse(sk_c4),sk_c6) | equal(sk_c6,identity).
% 33930 [para:33927.2.1,32431.1.1.1,demod:32411] equal(inverse(sk_c4),sk_c6) | equal(sk_c7,sk_c5).
% 33966 [para:33916.2.1,33930.2.1] equal(inverse(sk_c4),sk_c6) | equal(sk_c5,sk_c6).
% 34118 [para:32422.1.1,32587.2.2.2,demod:32431] equal(inverse(sk_c3),sk_c7) | equal(sk_c6,sk_c5).
% 34136 [para:34118.2.1,32628.1.2.1.1,demod:32412] equal(inverse(sk_c3),sk_c7) | equal(sk_c7,identity).
% 34153 [para:34136.2.1,32452.1.1.1,demod:32411] equal(inverse(sk_c3),sk_c7) | equal(sk_c1,identity).
% 34160 [para:34153.2.1,32430.1.1.1,demod:32411] equal(inverse(sk_c3),sk_c7) | equal(sk_c7,sk_c6).
% 34171 [para:34136.2.1,34160.2.1] equal(inverse(sk_c3),sk_c7) | equal(sk_c6,identity).
% 34178 [para:34171.2.1,32446.1.1.1,demod:32411] equal(inverse(sk_c3),sk_c7) | equal(sk_c2,identity).
% 34212 [para:34178.2.1,32422.1.1.1,demod:32411] equal(inverse(sk_c3),sk_c7) | equal(sk_c6,sk_c7).
% 34248 [para:34212.1.1,32412.1.1.1] equal(multiply(sk_c7,sk_c3),identity) | equal(sk_c6,sk_c7).
% 34723 [para:32419.1.1,32601.2.2.2,demod:32431] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(sk_c6,sk_c5).
% 34740 [para:34723.1.1,32570.1.2.2] equal(sk_c5,multiply(inverse(sk_c4),sk_c6)) | equal(sk_c6,sk_c5).
% 34741 [para:34723.2.1,32628.1.2.1.1,demod:32412] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(sk_c7,identity).
% 34771 [para:34741.2.1,32464.1.1.1,demod:32411] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(sk_c1,identity).
% 34775 [para:34741.1.1,32502.3.1,cut:32410,cut:33819,binarycut:33894] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(sk_c7,identity).
% 34817 [para:34771.2.1,32427.1.1.1,demod:32411] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(sk_c7,sk_c6).
% 34827 [para:34775.2.1,32466.1.1.1,demod:32411] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(sk_c1,identity).
% 34863 [para:34741.2.1,34817.2.1] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(sk_c6,identity).
% 34867 [para:34827.2.1,32429.1.1.1,demod:32411] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(sk_c7,sk_c6).
% 34872 [para:34863.2.1,32431.1.1.1,demod:32411] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(sk_c7,sk_c5).
% 34927 [para:34775.2.1,34867.2.1] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(sk_c6,identity).
% 34944 [para:34817.2.1,34872.2.1] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(sk_c5,sk_c6).
% 34971 [para:34927.2.1,32458.1.1.1,demod:32411] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(sk_c2,identity).
% 35023 [para:34971.2.1,32421.1.1.1,demod:32411] equal(multiply(sk_c3,sk_c6),sk_c7) | equal(sk_c6,sk_c7).
% 36498 [para:33878.1.1,34740.1.2.1] equal(sk_c5,multiply(sk_c6,sk_c6)) | equal(sk_c6,sk_c5).
% 36524 [para:36498.1.2,32570.1.2.2,demod:32628] equal(sk_c6,sk_c7) | equal(sk_c6,sk_c5).
% 36609 [para:36524.2.1,32628.1.2.1.1,demod:32412] equal(sk_c7,identity) | equal(sk_c6,sk_c7).
% 36705 [para:36609.1.1,34248.1.1.1,demod:32411] equal(sk_c3,identity) | equal(sk_c6,sk_c7).
% 36770 [para:36705.1.1,35023.1.1.1,demod:32411] equal(sk_c6,sk_c7).
% 36793 [para:36770.1.2,32431.1.1.2] equal(multiply(sk_c6,sk_c6),sk_c5).
% 36795 [para:36770.1.2,32498.1.1.1,demod:36793,cut:32410,cut:33819] -equal(multiply(X,sk_c5),sk_c6) | -equal(inverse(X),sk_c6).
% 37514 [para:34723.1.1,36795.1.1,cut:32410,binarycut:33878] equal(sk_c6,sk_c5).
% 37517 [para:34741.1.1,36795.1.1,cut:32410,binarycut:33894] equal(sk_c7,identity).
% 37521 [para:34817.1.1,36795.1.1,cut:32410,binarycut:33916] equal(sk_c7,sk_c6).
% 37523 [para:34863.1.1,36795.1.1,cut:32410,binarycut:33927] equal(sk_c6,identity).
% 37537 [para:34944.1.1,36795.1.1,cut:32410,binarycut:33966] equal(sk_c5,sk_c6).
% 37546 [para:33887.1.1,36795.1.1,cut:37521,binarycut:32416] equal(inverse(sk_c4),sk_c6).
% 37566 [para:37514.1.1,32685.1.2.1.1,demod:32570] equal(multiply(sk_c7,X),X).
% 37619 [para:37517.1.1,32569.1.2.2.1,demod:32411] equal(multiply(sk_c5,X),multiply(sk_c6,X)).
% 37672 [para:37523.1.1,32569.1.2.1,demod:32411,37566] equal(multiply(sk_c5,X),X).
% 37798 [para:37546.1.1,32412.1.1.1,demod:37672,37619] equal(sk_c4,identity).
% 37800 [para:37798.1.1,37546.1.1.1] equal(inverse(identity),sk_c6).
% 37816 [para:37566.1.1,36795.1.1,cut:37537] -equal(inverse(sk_c7),sk_c6).
% 37821 [para:37517.1.1,37816.1.1.1,demod:37800,cut:32410] 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 19
% clause depth limited to 3
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 4919
% derived clauses: 375081
% kept clauses: 14687
% kept size sum: 231627
% kept mid-nuclei: 15480
% kept new demods: 1088
% forw unit-subs: 212884
% forw double-subs: 99778
% forw overdouble-subs: 6851
% backward subs: 820
% fast unit cutoff: 1953
% full unit cutoff: 0
% dbl unit cutoff: 3087
% real runtime : 24.45
% process. runtime: 24.33
% specific non-discr-tree subsumption statistics:
% tried: 359692
% length fails: 45934
% strength fails: 95183
% predlist fails: 1737
% aux str. fails: 48822
% by-lit fails: 18150
% full subs tried: 131748
% full subs fail: 126174
%
% ; 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/GRP303-1+eq_r.in")
%
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