TSTP Solution File: GRP248-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP248-1 : 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 30.0s
% Output : Assurance 30.0s
% 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/GRP248-1+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 25)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 25)
% (binary-posweight-lex-big-order 30 #f 3 25)
% (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_c10),sk_c9) | -equal(inverse(X),sk_c10) | -equal(multiply(Y,sk_c9),sk_c8) | -equal(inverse(Y),sk_c9) | -equal(inverse(Z),sk_c10) | -equal(multiply(Z,sk_c8),sk_c10) | -equal(inverse(U),sk_c10) | -equal(multiply(U,sk_c9),sk_c10) | -equal(inverse(V),sk_c9) | -equal(multiply(V,sk_c8),sk_c9) | -equal(multiply(W,X1),sk_c9) | -equal(inverse(W),X1) | -equal(multiply(X1,sk_c8),sk_c9).
% was split for some strategies as:
% -equal(multiply(W,X1),sk_c9) | -equal(inverse(W),X1) | -equal(multiply(X1,sk_c8),sk_c9).
% -equal(inverse(V),sk_c9) | -equal(multiply(V,sk_c8),sk_c9).
% -equal(inverse(U),sk_c10) | -equal(multiply(U,sk_c9),sk_c10).
% -equal(inverse(Z),sk_c10) | -equal(multiply(Z,sk_c8),sk_c10).
% -equal(multiply(Y,sk_c9),sk_c8) | -equal(inverse(Y),sk_c9).
% -equal(multiply(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(47,40,1,101,0,1,116888,4,1420,119948,5,1502,119948,1,1502,119948,50,1502,119948,40,1502,120002,0,1502,128076,3,1814,128987,4,1953,129803,5,2103,129804,1,2103,129804,50,2103,129804,40,2103,129858,0,2103,130517,3,2419,130528,4,2577,130564,5,2704,130564,1,2704,130564,50,2704,130564,40,2704,130618,0,2704)
%
%
% START OF PROOF
% 130315 [?] ?
% 130565 [] equal(X,X).
% 130566 [] equal(multiply(identity,X),X).
% 130567 [] equal(multiply(inverse(X),X),identity).
% 130568 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 130571 [] equal(multiply(sk_c3,sk_c8),sk_c10) | equal(inverse(sk_c6),sk_c7).
% 130572 [] equal(multiply(sk_c3,sk_c8),sk_c10) | equal(multiply(sk_c6,sk_c7),sk_c9).
% 130573 [] equal(multiply(sk_c3,sk_c8),sk_c10) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 130574 [] equal(multiply(sk_c3,sk_c8),sk_c10) | equal(inverse(sk_c5),sk_c9).
% 130575 [] equal(multiply(sk_c3,sk_c8),sk_c10) | equal(multiply(sk_c4,sk_c9),sk_c10).
% 130576 [] equal(multiply(sk_c3,sk_c8),sk_c10) | equal(inverse(sk_c4),sk_c10).
% 130578 [] equal(inverse(sk_c3),sk_c10) | equal(inverse(sk_c6),sk_c7).
% 130579 [] equal(multiply(sk_c6,sk_c7),sk_c9) | equal(inverse(sk_c3),sk_c10).
% 130580 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c3),sk_c10).
% 130581 [] equal(inverse(sk_c3),sk_c10) | equal(inverse(sk_c5),sk_c9).
% 130582 [] equal(multiply(sk_c4,sk_c9),sk_c10) | equal(inverse(sk_c3),sk_c10).
% 130583 [] equal(inverse(sk_c3),sk_c10) | equal(inverse(sk_c4),sk_c10).
% 130585 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c6),sk_c7).
% 130586 [] equal(multiply(sk_c6,sk_c7),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 130587 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 130588 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c5),sk_c9).
% 130589 [] equal(multiply(sk_c4,sk_c9),sk_c10) | equal(inverse(sk_c2),sk_c9).
% 130590 [] equal(inverse(sk_c2),sk_c9) | equal(inverse(sk_c4),sk_c10).
% 130591 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c7,sk_c8),sk_c9).
% 130592 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(inverse(sk_c6),sk_c7).
% 130593 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c6,sk_c7),sk_c9).
% 130594 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 130595 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(inverse(sk_c5),sk_c9).
% 130596 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(multiply(sk_c4,sk_c9),sk_c10).
% 130597 [] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(inverse(sk_c4),sk_c10).
% 130599 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c6),sk_c7).
% 130600 [] equal(multiply(sk_c6,sk_c7),sk_c9) | equal(inverse(sk_c1),sk_c10).
% 130601 [] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(inverse(sk_c1),sk_c10).
% 130602 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c5),sk_c9).
% 130603 [] equal(multiply(sk_c4,sk_c9),sk_c10) | equal(inverse(sk_c1),sk_c10).
% 130604 [] equal(inverse(sk_c1),sk_c10) | equal(inverse(sk_c4),sk_c10).
% 130606 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(inverse(sk_c6),sk_c7).
% 130607 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(multiply(sk_c6,sk_c7),sk_c9).
% 130608 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(multiply(sk_c5,sk_c8),sk_c9).
% 130609 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(inverse(sk_c5),sk_c9).
% 130610 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(multiply(sk_c4,sk_c9),sk_c10).
% 130611 [] equal(multiply(sk_c1,sk_c10),sk_c9) | equal(inverse(sk_c4),sk_c10).
% 130612 [] $spltprd0($spltcnst19) | -equal(multiply(X,sk_c8),sk_c9) | -equal(multiply(Y,X),sk_c9) | -equal(inverse(Y),X).
% 130613 [] $spltprd0($spltcnst20) | -equal(multiply(X,sk_c8),sk_c9) | -equal(inverse(X),sk_c9).
% 130614 [] $spltprd0($spltcnst21) | -equal(multiply(X,sk_c9),sk_c10) | -equal(inverse(X),sk_c10).
% 130615 [] $spltprd0($spltcnst22) | -equal(multiply(X,sk_c8),sk_c10) | -equal(inverse(X),sk_c10).
% 130616 [] $spltprd0($spltcnst23) | -equal(multiply(X,sk_c9),sk_c8) | -equal(inverse(X),sk_c9).
% 130617 [] $spltprd0($spltcnst24) | -equal(multiply(X,sk_c10),sk_c9) | -equal(inverse(X),sk_c10).
% 130618 [] -$spltprd0($spltcnst20) | -$spltprd0($spltcnst19) | -$spltprd0($spltcnst21) | -$spltprd0($spltcnst23) | -$spltprd0($spltcnst22) | -$spltprd0($spltcnst24).
% 130638 [para:130585.1.1,130567.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(inverse(sk_c6),sk_c7).
% 130639 [para:130585.2.1,130567.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | equal(inverse(sk_c2),sk_c9).
% 130641 [para:130588.1.1,130567.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(inverse(sk_c5),sk_c9).
% 130642 [para:130588.2.1,130567.1.1.1] equal(multiply(sk_c9,sk_c5),identity) | equal(inverse(sk_c2),sk_c9).
% 130647 [para:130599.1.1,130567.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | equal(inverse(sk_c6),sk_c7).
% 130648 [para:130599.2.1,130567.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | equal(inverse(sk_c1),sk_c10).
% 130654 [para:130602.2.1,130567.1.1.1] equal(multiply(sk_c9,sk_c5),identity) | equal(inverse(sk_c1),sk_c10).
% 130686 [para:130586.2.1,130567.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(multiply(sk_c6,sk_c7),sk_c9).
% 130794 [para:130566.1.1,130613.2.1] -equal(inverse(identity),sk_c9) | -equal(sk_c8,sk_c9) | $spltprd0($spltcnst20).
% 130803 [para:130580.1.1,130613.2.1,cut:130565] -equal(inverse(sk_c5),sk_c9) | equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst20).
% 130810 [para:130601.1.1,130613.2.1,cut:130565] -equal(inverse(sk_c5),sk_c9) | equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst20).
% 130814 [para:130608.2.1,130613.2.1,cut:130565] equal(multiply(sk_c1,sk_c10),sk_c9) | -equal(inverse(sk_c5),sk_c9) | $spltprd0($spltcnst20).
% 130824 [para:130581.2.1,130803.1.1,cut:130565] equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst20).
% 130826 [para:130824.1.1,130567.1.1.1] equal(multiply(sk_c10,sk_c3),identity) | $spltprd0($spltcnst20).
% 130830 [para:130582.1.1,130614.2.1,cut:130565] -equal(inverse(sk_c4),sk_c10) | equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst21).
% 130831 [para:130589.1.1,130614.2.1,cut:130565] -equal(inverse(sk_c4),sk_c10) | equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst21).
% 130834 [para:130575.2.1,130614.2.1,cut:130565] equal(multiply(sk_c3,sk_c8),sk_c10) | -equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst21).
% 130836 [para:130603.1.1,130614.2.1,cut:130565] -equal(inverse(sk_c4),sk_c10) | equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst21).
% 130841 [para:130596.2.1,130614.2.1,cut:130565] equal(multiply(sk_c2,sk_c9),sk_c8) | -equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst21).
% 130842 [para:130610.2.1,130614.2.1,cut:130565] equal(multiply(sk_c1,sk_c10),sk_c9) | -equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst21).
% 130850 [para:130571.1.1,130615.2.1,cut:130565,binarycut:130578] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst22).
% 130852 [para:130574.1.1,130615.2.1,cut:130565,binarycut:130581] equal(inverse(sk_c5),sk_c9) | $spltprd0($spltcnst22).
% 130854 [para:130576.1.1,130615.2.1,cut:130565,binarycut:130583] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst22).
% 130855 [para:130572.1.1,130615.2.1,cut:130565] equal(multiply(sk_c6,sk_c7),sk_c9) | -equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst22).
% 130859 [para:130573.1.1,130615.2.1,cut:130565] equal(multiply(sk_c5,sk_c8),sk_c9) | -equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst22).
% 130862 [para:130575.1.1,130615.2.1,cut:130565] equal(multiply(sk_c4,sk_c9),sk_c10) | -equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst22).
% 130875 [para:130850.1.1,130567.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | $spltprd0($spltcnst22).
% 130877 [para:130852.1.1,130567.1.1.1] equal(multiply(sk_c9,sk_c5),identity) | $spltprd0($spltcnst22).
% 130879 [para:130854.1.1,130567.1.1.1] equal(multiply(sk_c10,sk_c4),identity) | $spltprd0($spltcnst22).
% 130881 [para:130566.1.1,130616.2.1] -equal(inverse(identity),sk_c9) | -equal(sk_c9,sk_c8) | $spltprd0($spltcnst23).
% 130886 [para:130592.1.1,130616.2.1,cut:130565,binarycut:130585] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst23).
% 130888 [para:130595.1.1,130616.2.1,cut:130565,binarycut:130588] equal(inverse(sk_c5),sk_c9) | $spltprd0($spltcnst23).
% 130900 [para:130886.1.1,130567.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | $spltprd0($spltcnst23).
% 130902 [para:130888.1.1,130567.1.1.1] equal(multiply(sk_c9,sk_c5),identity) | $spltprd0($spltcnst23).
% 130911 [para:130606.1.1,130617.2.1,cut:130565,binarycut:130599] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst24).
% 130915 [para:130611.1.1,130617.2.1,cut:130565,binarycut:130604] equal(inverse(sk_c4),sk_c10) | $spltprd0($spltcnst24).
% 130921 [para:130911.1.1,130567.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | $spltprd0($spltcnst24).
% 130925 [para:130915.1.1,130567.1.1.1] equal(multiply(sk_c10,sk_c4),identity) | $spltprd0($spltcnst24).
% 130936 [para:130567.1.1,130568.1.1.1,demod:130566] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 130964 [para:130603.1.1,130568.1.1.1] equal(inverse(sk_c1),sk_c10) | equal(multiply(sk_c10,X),multiply(sk_c4,multiply(sk_c9,X))).
% 130982 [para:130638.1.1,130568.1.1.1,demod:130566] equal(inverse(sk_c6),sk_c7) | equal(X,multiply(sk_c9,multiply(sk_c2,X))).
% 130983 [para:130639.1.1,130568.1.1.1,demod:130566] equal(inverse(sk_c2),sk_c9) | equal(X,multiply(sk_c7,multiply(sk_c6,X))).
% 130985 [para:130642.1.1,130568.1.1.1,demod:130566] equal(inverse(sk_c2),sk_c9) | equal(X,multiply(sk_c9,multiply(sk_c5,X))).
% 130990 [para:130647.1.1,130568.1.1.1,demod:130566] equal(inverse(sk_c6),sk_c7) | equal(X,multiply(sk_c10,multiply(sk_c1,X))).
% 130991 [para:130648.1.1,130568.1.1.1,demod:130566] equal(inverse(sk_c1),sk_c10) | equal(X,multiply(sk_c7,multiply(sk_c6,X))).
% 130993 [para:130654.1.1,130568.1.1.1,demod:130566] equal(inverse(sk_c1),sk_c10) | equal(X,multiply(sk_c9,multiply(sk_c5,X))).
% 131024 [para:130879.1.1,130568.1.1.1,demod:130566] $spltprd0($spltcnst22) | equal(X,multiply(sk_c10,multiply(sk_c4,X))).
% 131031 [para:130566.1.1,130936.1.2.2] equal(X,multiply(inverse(identity),X)).
% 131049 [para:130586.2.1,130936.1.2.1] equal(multiply(sk_c6,sk_c7),sk_c9) | equal(X,multiply(sk_c9,multiply(sk_c2,X))).
% 131057 [para:130595.2.1,130936.1.2.1] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(X,multiply(sk_c9,multiply(sk_c5,X))).
% 131071 [para:130591.2.1,130936.1.2.2] equal(sk_c8,multiply(inverse(sk_c7),sk_c9)) | equal(multiply(sk_c2,sk_c9),sk_c8).
% 131078 [para:130593.1.1,130936.1.2.2] equal(sk_c9,multiply(inverse(sk_c2),sk_c8)) | equal(multiply(sk_c6,sk_c7),sk_c9).
% 131118 [para:130607.1.1,130936.1.2.2] equal(sk_c10,multiply(inverse(sk_c1),sk_c9)) | equal(multiply(sk_c6,sk_c7),sk_c9).
% 131140 [para:130826.1.1,130936.1.2.2] equal(sk_c3,multiply(inverse(sk_c10),identity)) | $spltprd0($spltcnst20).
% 131141 [para:130875.1.1,130936.1.2.2] equal(sk_c6,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst22).
% 131142 [para:130877.1.1,130936.1.2.2] equal(sk_c5,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst22).
% 131143 [para:130879.1.1,130936.1.2.2] equal(sk_c4,multiply(inverse(sk_c10),identity)) | $spltprd0($spltcnst22).
% 131144 [para:130900.1.1,130936.1.2.2] equal(sk_c6,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst23).
% 131145 [para:130902.1.1,130936.1.2.2] equal(sk_c5,multiply(inverse(sk_c9),identity)) | $spltprd0($spltcnst23).
% 131147 [para:130921.1.1,130936.1.2.2] equal(sk_c6,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst24).
% 131149 [para:130925.1.1,130936.1.2.2] equal(sk_c4,multiply(inverse(sk_c10),identity)) | $spltprd0($spltcnst24).
% 131159 [para:131140.1.2,130568.1.1.1,demod:130566] $spltprd0($spltcnst20) | equal(multiply(sk_c3,X),multiply(inverse(sk_c10),X)).
% 131161 [para:131141.1.2,130568.1.1.1,demod:130566] $spltprd0($spltcnst22) | equal(multiply(sk_c6,X),multiply(inverse(sk_c7),X)).
% 131163 [para:131142.1.2,130568.1.1.1,demod:130566] $spltprd0($spltcnst22) | equal(multiply(sk_c5,X),multiply(inverse(sk_c9),X)).
% 131166 [para:131143.1.2,130568.1.1.1,demod:130566] $spltprd0($spltcnst22) | equal(multiply(sk_c4,X),multiply(inverse(sk_c10),X)).
% 131176 [para:131144.1.2,130568.1.1.1,demod:130566] $spltprd0($spltcnst23) | equal(multiply(sk_c6,X),multiply(inverse(sk_c7),X)).
% 131178 [para:131145.1.2,130568.1.1.1,demod:130566] $spltprd0($spltcnst23) | equal(multiply(sk_c5,X),multiply(inverse(sk_c9),X)).
% 131206 [para:131147.1.2,130568.1.1.1,demod:130566] $spltprd0($spltcnst24) | equal(multiply(sk_c6,X),multiply(inverse(sk_c7),X)).
% 131212 [para:131149.1.2,130568.1.1.1,demod:130566] $spltprd0($spltcnst24) | equal(multiply(sk_c4,X),multiply(inverse(sk_c10),X)).
% 131309 [para:131159.2.2,130567.1.1] equal(multiply(sk_c3,sk_c10),identity) | $spltprd0($spltcnst20).
% 131317 [para:131159.2.2,130936.1.2] $spltprd0($spltcnst20) | equal(X,multiply(sk_c3,multiply(sk_c10,X))).
% 131319 [para:131159.2.2,131140.1.2] equal(sk_c3,multiply(sk_c3,identity)) | $spltprd0($spltcnst20).
% 131459 [para:131161.2.2,130567.1.1] equal(multiply(sk_c6,sk_c7),identity) | $spltprd0($spltcnst22).
% 131745 [para:131166.2.2,130567.1.1] equal(multiply(sk_c4,sk_c10),identity) | $spltprd0($spltcnst22).
% 131760 [para:131745.1.1,131024.2.2.2] equal(sk_c10,multiply(sk_c10,identity)) | $spltprd0($spltcnst22).
% 131937 [para:131176.2.2,130567.1.1] equal(multiply(sk_c6,sk_c7),identity) | $spltprd0($spltcnst23).
% 131952 [para:131937.1.1,130586.1.1] equal(inverse(sk_c2),sk_c9) | equal(identity,sk_c9) | $spltprd0($spltcnst23).
% 132031 [para:131952.2.2,130642.1.1.1,demod:130566] equal(inverse(sk_c2),sk_c9) | equal(sk_c5,identity) | $spltprd0($spltcnst23).
% 132042 [para:131952.2.2,130881.1.2,cut:130315] equal(inverse(sk_c2),sk_c9) | -equal(sk_c9,sk_c8) | $spltprd0($spltcnst23).
% 132092 [para:132031.2.1,130587.1.1.1,demod:130566] equal(inverse(sk_c2),sk_c9) | equal(sk_c8,sk_c9) | $spltprd0($spltcnst23).
% 132189 [para:132092.2.1,132042.2.2,cut:130565] equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst23).
% 132342 [para:131178.2.2,130567.1.1] equal(multiply(sk_c5,sk_c9),identity) | $spltprd0($spltcnst23).
% 132357 [para:132342.1.1,130616.2.1,binarycut:130888] -equal(identity,sk_c8) | $spltprd0($spltcnst23).
% 132589 [para:131206.2.2,130567.1.1] equal(multiply(sk_c6,sk_c7),identity) | $spltprd0($spltcnst24).
% 132611 [para:132589.1.1,130600.1.1] equal(inverse(sk_c1),sk_c10) | equal(identity,sk_c9) | $spltprd0($spltcnst24).
% 133034 [para:131212.2.2,130567.1.1] equal(multiply(sk_c4,sk_c10),identity) | $spltprd0($spltcnst24).
% 133057 [para:133034.1.1,130617.2.1,binarycut:130915] -equal(identity,sk_c9) | $spltprd0($spltcnst24).
% 133063 [para:132611.2.2,133057.1.2,cut:130565] equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst24).
% 133401 [para:130602.2.1,130810.1.1,cut:130565] equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst20).
% 133403 [para:133401.1.1,130567.1.1.1] equal(multiply(sk_c10,sk_c1),identity) | $spltprd0($spltcnst20).
% 133409 [para:133403.1.1,131317.2.2.2] equal(sk_c1,multiply(sk_c3,identity)) | $spltprd0($spltcnst20).
% 133416 [para:133409.1.2,131319.1.2] equal(sk_c3,sk_c1) | $spltprd0($spltcnst20).
% 133499 [para:130609.2.1,130814.2.1,cut:130565] equal(multiply(sk_c1,sk_c10),sk_c9) | $spltprd0($spltcnst20).
% 133620 [para:133416.1.2,133499.1.1.1] equal(multiply(sk_c3,sk_c10),sk_c9) | $spltprd0($spltcnst20).
% 133666 [para:133620.1.1,131309.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst20).
% 133669 [?] ?
% 133684 [para:133666.1.1,130794.1.2,cut:130315,binarycut:133669] $spltprd0($spltcnst20).
% 133692 [para:130583.2.1,130830.1.1,cut:130565] equal(inverse(sk_c3),sk_c10) | $spltprd0($spltcnst21).
% 133697 [para:130590.2.1,130831.1.1,cut:130565] equal(inverse(sk_c2),sk_c9) | $spltprd0($spltcnst21).
% 133700 [para:133697.1.1,130936.1.2.1] $spltprd0($spltcnst21) | equal(X,multiply(sk_c9,multiply(sk_c2,X))).
% 133716 [para:130576.2.1,130834.2.1,cut:130565] equal(multiply(sk_c3,sk_c8),sk_c10) | $spltprd0($spltcnst21).
% 133750 [para:130604.2.1,130836.1.1,cut:130565] equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst21).
% 133753 [para:133750.1.1,130936.1.2.1] $spltprd0($spltcnst21) | equal(X,multiply(sk_c10,multiply(sk_c1,X))).
% 133804 [para:130597.2.1,130841.2.1,cut:130565] equal(multiply(sk_c2,sk_c9),sk_c8) | $spltprd0($spltcnst21).
% 133809 [para:133804.1.1,133700.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c8)) | $spltprd0($spltcnst21).
% 133840 [para:130611.2.1,130842.2.1,cut:130565] equal(multiply(sk_c1,sk_c10),sk_c9) | $spltprd0($spltcnst21).
% 133850 [para:133840.1.1,133753.2.2.2] equal(sk_c10,multiply(sk_c10,sk_c9)) | $spltprd0($spltcnst21).
% 133861 [para:133850.1.2,130936.1.2.2,demod:130567] equal(sk_c9,identity) | $spltprd0($spltcnst21).
% 133903 [para:133861.1.1,133809.1.2.1,demod:130566] equal(sk_c9,sk_c8) | $spltprd0($spltcnst21).
% 133945 [para:133903.1.2,133716.1.1.2] equal(multiply(sk_c3,sk_c9),sk_c10) | $spltprd0($spltcnst21).
% 133955 [para:130579.2.1,130855.2.1,cut:130565] equal(multiply(sk_c6,sk_c7),sk_c9) | $spltprd0($spltcnst22).
% 133981 [para:133945.1.1,130614.2.1,cut:130565,binarycut:133692] $spltprd0($spltcnst21).
% 133988 [para:133955.1.1,131459.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst22).
% 134005 [para:133988.1.1,131163.2.2.1.1,demod:131031] $spltprd0($spltcnst22) | equal(multiply(sk_c5,X),X).
% 134075 [para:130580.2.1,130859.2.1,cut:130565] equal(multiply(sk_c5,sk_c8),sk_c9) | $spltprd0($spltcnst22).
% 134127 [para:130582.2.1,130862.2.1,cut:130565] equal(multiply(sk_c4,sk_c9),sk_c10) | $spltprd0($spltcnst22).
% 134137 [para:134075.1.1,134005.2.1] equal(sk_c9,sk_c8) | $spltprd0($spltcnst22).
% 134638 [para:130593.1.1,130616.2.1,cut:130565,binarycut:132189] equal(multiply(sk_c6,sk_c7),sk_c9) | $spltprd0($spltcnst23).
% 134642 [para:134638.1.1,131937.1.1] equal(sk_c9,identity) | $spltprd0($spltcnst23).
% 134643 [para:131937.1.1,134638.1.1] equal(identity,sk_c9) | $spltprd0($spltcnst23).
% 134658 [para:134642.1.1,130902.1.1.1,demod:130566] equal(sk_c5,identity) | $spltprd0($spltcnst23).
% 134690 [para:130594.1.1,130616.2.1,cut:130565,binarycut:132189] equal(multiply(sk_c5,sk_c8),sk_c9) | $spltprd0($spltcnst23).
% 134710 [para:134658.1.1,134690.1.1.1,demod:130566] equal(sk_c8,sk_c9) | $spltprd0($spltcnst23).
% 134737 [para:134710.1.1,132357.1.2,binarycut:134643] $spltprd0($spltcnst23).
% 134800 [para:130607.1.1,130617.2.1,cut:130565,binarycut:133063] equal(multiply(sk_c6,sk_c7),sk_c9) | $spltprd0($spltcnst24).
% 134806 [para:132589.1.1,134800.1.1,binarycut:133057] $spltprd0($spltcnst24).
% 135929 [para:130592.1.1,130982.2.2.2] equal(sk_c9,multiply(sk_c9,sk_c8)) | equal(inverse(sk_c6),sk_c7).
% 135947 [para:130586.1.1,130983.2.2.2] equal(sk_c7,multiply(sk_c7,sk_c9)) | equal(inverse(sk_c2),sk_c9).
% 136077 [para:130606.1.1,130990.2.2.2] equal(sk_c10,multiply(sk_c10,sk_c9)) | equal(inverse(sk_c6),sk_c7).
% 136119 [para:130600.1.1,130991.2.2.2] equal(sk_c7,multiply(sk_c7,sk_c9)) | equal(inverse(sk_c1),sk_c10).
% 136148 [para:130601.1.1,130993.2.2.2] equal(sk_c8,multiply(sk_c9,sk_c9)) | equal(inverse(sk_c1),sk_c10).
% 136379 [binary:130618,133684,cut:134806,cut:134737,cut:133981] -$spltprd0($spltcnst22) | -$spltprd0($spltcnst19).
% 136380 [binary:130850.2,136379] equal(inverse(sk_c6),sk_c7) | -$spltprd0($spltcnst19).
% 136382 [binary:130854.2,136379] equal(inverse(sk_c4),sk_c10) | -$spltprd0($spltcnst19).
% 136416 [binary:131760.2,136379] equal(sk_c10,multiply(sk_c10,identity)) | -$spltprd0($spltcnst19).
% 136438 [binary:134137.2,136379] equal(sk_c9,sk_c8) | -$spltprd0($spltcnst19).
% 136462 [binary:134127.2,136379] equal(multiply(sk_c4,sk_c9),sk_c10) | -$spltprd0($spltcnst19).
% 138522 [para:135929.1.2,130936.1.2.2,demod:130567] equal(inverse(sk_c6),sk_c7) | equal(sk_c8,identity).
% 138534 [para:138522.2.1,130612.2.1.2,factor:cut:130315] equal(inverse(sk_c6),sk_c7) | -equal(identity,sk_c9) | $spltprd0($spltcnst19).
% 138599 [para:135947.1.2,130936.1.2.2,demod:130567] equal(inverse(sk_c2),sk_c9) | equal(sk_c9,identity).
% 138608 [para:138599.2.1,130642.1.1.1,demod:130566] equal(inverse(sk_c2),sk_c9) | equal(sk_c5,identity).
% 138644 [para:138608.1.1,130567.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(sk_c5,identity).
% 138645 [para:130588.2.1,138608.2.1.1] equal(inverse(identity),sk_c9) | equal(inverse(sk_c2),sk_c9).
% 138656 [para:130985.2.1,138608.2.2.2.1,demod:130566] equal(inverse(sk_c2),sk_c9) | equal(X,multiply(sk_c9,X)).
% 138870 [para:130985.2.2,138656.2.2] equal(inverse(sk_c2),sk_c9) | equal(multiply(sk_c5,X),X).
% 138876 [para:130587.1.1,138870.2.1] equal(inverse(sk_c2),sk_c9) | equal(sk_c9,sk_c8).
% 138879 [para:138876.1.1,130567.1.1.1] equal(multiply(sk_c9,sk_c2),identity) | equal(sk_c9,sk_c8).
% 139072 [para:136077.1.2,130936.1.2.2,demod:130567] equal(inverse(sk_c6),sk_c7) | equal(sk_c9,identity).
% 139106 [para:139072.2.1,135929.1.2.1,demod:130566] equal(inverse(sk_c6),sk_c7) | equal(sk_c9,sk_c8).
% 139119 [para:139106.1.1,130567.1.1.1] equal(multiply(sk_c7,sk_c6),identity) | equal(sk_c9,sk_c8).
% 139332 [para:136119.1.2,130936.1.2.2,demod:130567] equal(inverse(sk_c1),sk_c10) | equal(sk_c9,identity).
% 139864 [para:139332.2.1,136148.1.2.2] equal(sk_c8,multiply(sk_c9,identity)) | equal(inverse(sk_c1),sk_c10).
% 140629 [para:139072.2.1,138534.2.2,cut:130565] equal(inverse(sk_c6),sk_c7) | $spltprd0($spltcnst19).
% 140661 [binary:136380.2,140629.2] equal(inverse(sk_c6),sk_c7).
% 140662 [para:140661.1.1,130567.1.1.1] equal(multiply(sk_c7,sk_c6),identity).
% 140663 [para:140662.1.1,130936.1.2.2] equal(sk_c6,multiply(inverse(sk_c7),identity)).
% 140664 [para:140663.1.2,130568.1.1.1,demod:130566] equal(multiply(sk_c6,X),multiply(inverse(sk_c7),X)).
% 140698 [para:140664.1.2,130567.1.1] equal(multiply(sk_c6,sk_c7),identity).
% 140751 [para:140698.1.1,130586.1.1] equal(inverse(sk_c2),sk_c9) | equal(identity,sk_c9).
% 140752 [para:140698.1.1,130600.1.1] equal(inverse(sk_c1),sk_c10) | equal(identity,sk_c9).
% 140753 [para:130593.1.1,140698.2.1] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(identity,sk_c9).
% 140854 [para:140751.1.1,131078.1.2.1,demod:140698] equal(sk_c9,multiply(sk_c9,sk_c8)) | equal(identity,sk_c9).
% 140859 [para:140752.1.1,131118.1.2.1,demod:140698] equal(sk_c10,multiply(sk_c10,sk_c9)) | equal(identity,sk_c9).
% 141703 [para:140753.2.2,131071.1.2.2,demod:140663] equal(multiply(sk_c2,sk_c9),sk_c8) | equal(sk_c8,sk_c6).
% 141763 [para:140854.1.2,130936.1.2.2,demod:130567] equal(sk_c8,identity) | equal(identity,sk_c9).
% 142079 [?] ?
% 142165 [para:140859.1.2,130936.1.2.2,demod:130567] equal(sk_c9,identity) | equal(identity,sk_c9).
% 142245 [para:142165.1.1,130686.1.1.1,demod:140698,130566] equal(sk_c2,identity) | equal(identity,sk_c9).
% 142352 [para:131049.1.1,142245.2.2.2.1,demod:140698,130566,binarycut:142079] equal(X,multiply(sk_c9,X)).
% 142366 [para:142245.2.2,138644.1.1.1,demod:130566] equal(sk_c2,identity) | equal(sk_c5,identity).
% 142368 [para:142245.2.2,138879.1.1.1,demod:130566] equal(sk_c2,identity) | equal(sk_c9,sk_c8).
% 142377 [para:142352.1.2,130936.1.2.2] equal(X,multiply(inverse(sk_c9),X)).
% 142422 [para:140854.1.2,142352.1.2] equal(sk_c8,sk_c9) | equal(identity,sk_c9).
% 142423 [para:142377.1.2,130567.1.1] equal(sk_c9,identity).
% 142549 [para:130641.2.1,142366.2.1.1,demod:142352] equal(inverse(identity),sk_c9) | equal(sk_c2,identity).
% 142642 [para:142368.1.1,130594.1.1.1,demod:130566] equal(multiply(sk_c5,sk_c8),sk_c9) | equal(sk_c9,sk_c8).
% 142655 [para:142368.1.1,131057.1.1.1,demod:142352,130566] equal(sk_c9,sk_c8) | equal(X,multiply(sk_c5,X)).
% 142812 [para:141763.1.1,142422.1.1] equal(identity,sk_c9).
% 142944 [para:138645.2.1,142549.2.1.1] equal(inverse(identity),sk_c9).
% 146446 [para:142368.1.1,141703.1.1.1,demod:130566] equal(sk_c8,sk_c6) | equal(sk_c9,sk_c8).
% 146504 [para:135929.1.2,146446.2.1.1,demod:142352] equal(inverse(sk_c8),sk_c7) | equal(sk_c9,sk_c8).
% 146734 [para:142655.1.1,142642.2.2] equal(sk_c8,sk_c9) | equal(sk_c9,sk_c8).
% 146801 [para:146734.1.1,146504.1.1.1] equal(inverse(sk_c9),sk_c7) | equal(sk_c9,sk_c8).
% 146867 [para:142423.1.1,146801.1.1.1,demod:142944] equal(sk_c9,sk_c7) | equal(sk_c9,sk_c8).
% 146942 [para:146867.1.2,139119.1.1.1,demod:142352] equal(sk_c6,identity) | equal(sk_c9,sk_c8).
% 147020 [para:146942.1.1,146446.1.2] equal(sk_c8,identity) | equal(sk_c9,sk_c8).
% 147106 [para:147020.1.1,130612.2.1.2,factor:cut:142812,cut:142423] equal(sk_c9,sk_c8) | $spltprd0($spltcnst19).
% 147176 [para:147106.1.2,130612.2.1.2,factor:cut:130565] -equal(inverse(sk_c9),sk_c9) | $spltprd0($spltcnst19).
% 147216 [binary:136438.2,147106.2] equal(sk_c9,sk_c8).
% 147275 [para:142423.1.1,147176.1.1.1,demod:142944,cut:130565] $spltprd0($spltcnst19).
% 147305 [binary:136382.2,147275] equal(inverse(sk_c4),sk_c10).
% 147315 [binary:136416.2,147275] equal(sk_c10,multiply(sk_c10,identity)).
% 147316 [binary:136462.2,147275] equal(multiply(sk_c4,sk_c9),sk_c10).
% 147373 [para:147316.1.1,130568.1.1.1,demod:142352] equal(multiply(sk_c10,X),multiply(sk_c4,X)).
% 147537 [para:130964.1.2,139864.2.2.2,demod:147315] equal(sk_c10,multiply(sk_c4,sk_c8)) | equal(inverse(sk_c1),sk_c10).
% 147738 [para:147537.1.2,130615.2.1,demod:147305,cut:130565] equal(inverse(sk_c1),sk_c10) | $spltprd0($spltcnst22).
% 147743 [binary:136379,147738.2,cut:147275] equal(inverse(sk_c1),sk_c10).
% 147745 [para:147743.1.1,130936.1.2.1,demod:147373] equal(X,multiply(sk_c4,multiply(sk_c1,X))).
% 147755 [para:147745.1.2,130936.1.2.2,demod:147373,147305] equal(multiply(sk_c1,X),multiply(sk_c4,X)).
% 147756 [para:147755.1.1,130615.2.1,demod:147743,cut:130565] -equal(multiply(sk_c4,sk_c8),sk_c10) | $spltprd0($spltcnst22).
% 147760 [para:147216.1.2,147756.1.1.2,demod:147316,cut:130565] $spltprd0($spltcnst22).
% 147761 [binary:136379,147760,cut:147275] 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 25
% clause depth limited to 3
% seconds given: 30
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 5006
% derived clauses: 1088529
% kept clauses: 24514
% kept size sum: 693918
% kept mid-nuclei: 116364
% kept new demods: 251
% forw unit-subs: 208849
% forw double-subs: 199238
% forw overdouble-subs: 96177
% backward subs: 2598
% fast unit cutoff: 3536
% full unit cutoff: 0
% dbl unit cutoff: 467
% real runtime : 39.71
% process. runtime: 39.66
% specific non-discr-tree subsumption statistics:
% tried: 1548300
% length fails: 155557
% strength fails: 458258
% predlist fails: 45493
% aux str. fails: 261073
% by-lit fails: 103680
% full subs tried: 448421
% full subs fail: 358056
%
% ; 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/GRP248-1+eq_r.in")
%
%------------------------------------------------------------------------------