TSTP Solution File: GRP333-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP333-1 : 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 : art07.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/GRP333-1+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(sk_c6,sk_c7),sk_c5) | -equal(multiply(X,sk_c6),sk_c7) | -equal(inverse(X),sk_c6) | -equal(inverse(Y),sk_c6) | -equal(multiply(Y,sk_c5),sk_c6) | -equal(multiply(Z,sk_c7),sk_c6) | -equal(inverse(Z),sk_c7) | -equal(multiply(U,sk_c6),sk_c5) | -equal(inverse(U),sk_c6).
% was split for some strategies as:
% -equal(multiply(U,sk_c6),sk_c5) | -equal(inverse(U),sk_c6).
% -equal(multiply(Z,sk_c7),sk_c6) | -equal(inverse(Z),sk_c7).
% -equal(inverse(Y),sk_c6) | -equal(multiply(Y,sk_c5),sk_c6).
% -equal(multiply(X,sk_c6),sk_c7) | -equal(inverse(X),sk_c6).
% -equal(multiply(sk_c6,sk_c7),sk_c5).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(22,40,0,49,0,0,1970,50,20,1997,0,21,3946,50,43,3973,0,43,5940,50,73,5967,0,73,7945,50,94,7972,0,94,9961,50,125,9988,0,125,11989,50,174,12016,0,174,14030,50,269,14057,0,269,16085,50,418,16112,0,418,18155,50,687,18182,0,687,20241,50,1207,20241,40,1207,20268,0,1207,31743,3,1508,32409,4,1658,33069,5,1808,33070,1,1808,33070,50,1808,33070,40,1808,33097,0,1808,33273,3,2119,33283,4,2273,33291,5,2409,33291,1,2409,33291,50,2409,33291,40,2409,33318,0,2409)
%
%
% START OF PROOF
% 33136 [?] ?
% 33292 [] equal(X,X).
% 33293 [] equal(multiply(identity,X),X).
% 33294 [] equal(multiply(inverse(X),X),identity).
% 33295 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 33297 [] equal(multiply(sk_c2,sk_c5),sk_c6) | equal(inverse(sk_c4),sk_c6).
% 33298 [] equal(multiply(sk_c2,sk_c5),sk_c6) | equal(multiply(sk_c4,sk_c6),sk_c5).
% 33299 [] equal(multiply(sk_c2,sk_c5),sk_c6) | equal(inverse(sk_c3),sk_c7).
% 33300 [] equal(multiply(sk_c2,sk_c5),sk_c6) | equal(multiply(sk_c3,sk_c7),sk_c6).
% 33301 [] equal(inverse(sk_c2),sk_c6) | equal(inverse(sk_c4),sk_c6).
% 33302 [] equal(multiply(sk_c4,sk_c6),sk_c5) | equal(inverse(sk_c2),sk_c6).
% 33303 [] equal(inverse(sk_c2),sk_c6) | equal(inverse(sk_c3),sk_c7).
% 33304 [] equal(multiply(sk_c3,sk_c7),sk_c6) | equal(inverse(sk_c2),sk_c6).
% 33305 [] equal(inverse(sk_c1),sk_c6) | equal(inverse(sk_c4),sk_c6).
% 33306 [] equal(multiply(sk_c4,sk_c6),sk_c5) | equal(inverse(sk_c1),sk_c6).
% 33307 [] equal(inverse(sk_c1),sk_c6) | equal(inverse(sk_c3),sk_c7).
% 33308 [] equal(multiply(sk_c3,sk_c7),sk_c6) | equal(inverse(sk_c1),sk_c6).
% 33309 [] equal(multiply(sk_c1,sk_c6),sk_c7) | equal(inverse(sk_c4),sk_c6).
% 33310 [] equal(multiply(sk_c1,sk_c6),sk_c7) | equal(multiply(sk_c4,sk_c6),sk_c5).
% 33311 [] equal(multiply(sk_c1,sk_c6),sk_c7) | equal(inverse(sk_c3),sk_c7).
% 33312 [] equal(multiply(sk_c1,sk_c6),sk_c7) | equal(multiply(sk_c3,sk_c7),sk_c6).
% 33313 [] equal(multiply(sk_c6,sk_c7),sk_c5).
% 33314 [?] ?
% 33315 [] $spltprd0($spltcnst14) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 33316 [] $spltprd0($spltcnst15) | -equal(multiply(X,sk_c5),sk_c6) | -equal(inverse(X),sk_c6).
% 33317 [] $spltprd0($spltcnst16) | -equal(multiply(X,sk_c6),sk_c7) | -equal(inverse(X),sk_c6).
% 33318 [] -$spltprd0($spltcnst14) | -$spltprd0($spltcnst13) | -$spltprd0($spltcnst16) | -$spltprd0($spltcnst15).
% 33378 [input:33314,cut:33292] $spltprd0($spltcnst13) | -equal(multiply(X,sk_c6),sk_c5) | -equal(inverse(X),sk_c6).
% 33381 [para:33298.2.1,33378.2.1,cut:33292] equal(multiply(sk_c2,sk_c5),sk_c6) | -equal(inverse(sk_c4),sk_c6) | $spltprd0($spltcnst13).
% 33382 [para:33302.1.1,33378.2.1,cut:33292] -equal(inverse(sk_c4),sk_c6) | equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst13).
% 33383 [para:33306.1.1,33378.2.1,cut:33292] -equal(inverse(sk_c4),sk_c6) | equal(inverse(sk_c1),sk_c6) | $spltprd0($spltcnst13).
% 33389 [para:33310.2.1,33378.2.1,cut:33292] equal(multiply(sk_c1,sk_c6),sk_c7) | -equal(inverse(sk_c4),sk_c6) | $spltprd0($spltcnst13).
% 33397 [para:33293.1.1,33315.2.1] -equal(inverse(identity),sk_c7) | -equal(sk_c7,sk_c6) | $spltprd0($spltcnst14).
% 33400 [para:33304.1.1,33315.2.1,cut:33292] -equal(inverse(sk_c3),sk_c7) | equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst14).
% 33401 [para:33308.1.1,33315.2.1,cut:33292] -equal(inverse(sk_c3),sk_c7) | equal(inverse(sk_c1),sk_c6) | $spltprd0($spltcnst14).
% 33402 [para:33300.2.1,33315.2.1,cut:33292] equal(multiply(sk_c2,sk_c5),sk_c6) | -equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst14).
% 33403 [para:33312.2.1,33315.2.1,cut:33292] equal(multiply(sk_c1,sk_c6),sk_c7) | -equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst14).
% 33407 [para:33293.1.1,33316.2.1] -equal(inverse(identity),sk_c6) | -equal(sk_c5,sk_c6) | $spltprd0($spltcnst15).
% 33413 [para:33299.1.1,33316.2.1,cut:33292,binarycut:33303] equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst15).
% 33414 [para:33300.1.1,33316.2.1,cut:33292] equal(multiply(sk_c3,sk_c7),sk_c6) | -equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst15).
% 33420 [para:33413.1.1,33294.1.1.1] equal(multiply(sk_c7,sk_c3),identity) | $spltprd0($spltcnst15).
% 33431 [para:33309.1.1,33317.2.1,cut:33292,binarycut:33305] equal(inverse(sk_c4),sk_c6) | $spltprd0($spltcnst16).
% 33433 [para:33311.1.1,33317.2.1,cut:33292,binarycut:33307] equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst16).
% 33434 [para:33310.1.1,33317.2.1,cut:33292] equal(multiply(sk_c4,sk_c6),sk_c5) | -equal(inverse(sk_c1),sk_c6) | $spltprd0($spltcnst16).
% 33437 [para:33312.1.1,33317.2.1,cut:33292] equal(multiply(sk_c3,sk_c7),sk_c6) | -equal(inverse(sk_c1),sk_c6) | $spltprd0($spltcnst16).
% 33445 [para:33433.1.1,33294.1.1.1] equal(multiply(sk_c7,sk_c3),identity) | $spltprd0($spltcnst16).
% 33450 [para:33294.1.1,33295.1.1.1,demod:33293] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 33493 [para:33445.1.1,33295.1.1.1,demod:33293] $spltprd0($spltcnst16) | equal(X,multiply(sk_c7,multiply(sk_c3,X))).
% 33500 [para:33313.1.1,33450.1.2.2] equal(sk_c7,multiply(inverse(sk_c6),sk_c5)).
% 33547 [para:33420.1.1,33450.1.2.2] equal(sk_c3,multiply(inverse(sk_c7),identity)) | $spltprd0($spltcnst15).
% 33561 [para:33547.1.2,33295.1.1.1,demod:33293] $spltprd0($spltcnst15) | equal(multiply(sk_c3,X),multiply(inverse(sk_c7),X)).
% 33893 [para:33561.2.2,33294.1.1] equal(multiply(sk_c3,sk_c7),identity) | $spltprd0($spltcnst15).
% 33924 [para:33297.2.1,33381.2.1,cut:33292] equal(multiply(sk_c2,sk_c5),sk_c6) | $spltprd0($spltcnst13).
% 33933 [para:33924.1.1,33450.1.2.2] equal(sk_c5,multiply(inverse(sk_c2),sk_c6)) | $spltprd0($spltcnst13).
% 33940 [para:33301.2.1,33382.1.1,cut:33292] equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst13).
% 33947 [para:33305.2.1,33383.1.1,cut:33292] equal(inverse(sk_c1),sk_c6) | $spltprd0($spltcnst13).
% 33972 [para:33940.1.1,33933.1.2.1] equal(sk_c5,multiply(sk_c6,sk_c6)) | $spltprd0($spltcnst13).
% 33987 [para:33309.2.1,33389.2.1,cut:33292] equal(multiply(sk_c1,sk_c6),sk_c7) | $spltprd0($spltcnst13).
% 33990 [para:33972.1.2,33450.1.2.2,demod:33500] equal(sk_c6,sk_c7) | $spltprd0($spltcnst13).
% 34056 [para:33987.1.1,33378.2.1,binarycut:33947] -equal(sk_c7,sk_c5) | $spltprd0($spltcnst13).
% 34060 [para:33987.1.1,33450.1.2.2] equal(sk_c6,multiply(inverse(sk_c1),sk_c7)) | $spltprd0($spltcnst13).
% 34110 [para:33303.2.1,33400.1.1,cut:33292] equal(inverse(sk_c2),sk_c6) | $spltprd0($spltcnst14).
% 34112 [para:33307.2.1,33401.1.1,cut:33292] equal(inverse(sk_c1),sk_c6) | $spltprd0($spltcnst14).
% 34114 [para:34110.1.1,33294.1.1.1] equal(multiply(sk_c6,sk_c2),identity) | $spltprd0($spltcnst14).
% 34118 [para:34112.1.1,33294.1.1.1] equal(multiply(sk_c6,sk_c1),identity) | $spltprd0($spltcnst14).
% 34123 [para:34114.1.1,33450.1.2.2] equal(sk_c2,multiply(inverse(sk_c6),identity)) | $spltprd0($spltcnst14).
% 34132 [para:33299.2.1,33402.2.1,cut:33292] equal(multiply(sk_c2,sk_c5),sk_c6) | $spltprd0($spltcnst14).
% 34151 [para:33947.1.1,34060.1.2.1,demod:33313] equal(sk_c6,sk_c5) | $spltprd0($spltcnst13).
% 34153 [para:33311.2.1,33403.2.1,cut:33292] equal(multiply(sk_c1,sk_c6),sk_c7) | $spltprd0($spltcnst14).
% 34196 [para:33990.1.1,34151.1.1,binarycut:34056] $spltprd0($spltcnst13).
% 34263 [para:33304.2.1,33414.2.1,cut:33292] equal(multiply(sk_c3,sk_c7),sk_c6) | $spltprd0($spltcnst15).
% 34340 [para:34263.1.1,33893.1.1] equal(sk_c6,identity) | $spltprd0($spltcnst15).
% 34344 [?] ?
% 34360 [para:34340.1.1,33407.1.2,cut:33136,binarycut:34344] $spltprd0($spltcnst15).
% 34366 [para:33306.2.1,33434.2.1,cut:33292] equal(multiply(sk_c4,sk_c6),sk_c5) | $spltprd0($spltcnst16).
% 34369 [para:33308.2.1,33437.2.1,cut:33292] equal(multiply(sk_c3,sk_c7),sk_c6) | $spltprd0($spltcnst16).
% 34372 [para:34366.1.1,33317.2.1,binarycut:33431] -equal(sk_c5,sk_c7) | $spltprd0($spltcnst16).
% 34380 [para:34369.1.1,33493.2.2.2] equal(sk_c7,multiply(sk_c7,sk_c6)) | $spltprd0($spltcnst16).
% 34394 [para:34380.1.2,33450.1.2.2,demod:33294] equal(sk_c6,identity) | $spltprd0($spltcnst16).
% 34396 [para:34394.1.1,33313.1.1.1,demod:33293] equal(sk_c7,sk_c5) | $spltprd0($spltcnst16).
% 34429 [para:34396.1.1,34372.1.2,cut:33292] $spltprd0($spltcnst16).
% 34458 [binary:33318,34123.2,cut:34196,cut:34429,cut:34360] equal(sk_c2,multiply(inverse(sk_c6),identity)).
% 34460 [para:34458.1.2,33295.1.1.1,demod:33293] equal(multiply(sk_c2,X),multiply(inverse(sk_c6),X)).
% 34461 [para:34460.1.2,33294.1.1] equal(multiply(sk_c2,sk_c6),identity).
% 34463 [para:34460.1.2,33450.1.2] equal(X,multiply(sk_c2,multiply(sk_c6,X))).
% 34464 [para:34460.1.2,33500.1.2] equal(sk_c7,multiply(sk_c2,sk_c5)).
% 34468 [para:34460.1.2,34458.1.2] equal(sk_c2,multiply(sk_c2,identity)).
% 34483 [para:34464.1.2,34132.1.1] equal(sk_c7,sk_c6) | $spltprd0($spltcnst14).
% 34487 [binary:33318,34483.2,cut:34196,cut:34429,cut:34360] equal(sk_c7,sk_c6).
% 34598 [para:34118.1.1,34463.1.2.2,demod:34468] equal(sk_c1,sk_c2) | $spltprd0($spltcnst14).
% 34601 [binary:33318,34598.2,cut:34196,cut:34429,cut:34360] equal(sk_c1,sk_c2).
% 34629 [para:34601.1.2,34461.1.1.1] equal(multiply(sk_c1,sk_c6),identity).
% 34648 [para:34629.1.1,34153.1.1] equal(identity,sk_c7) | $spltprd0($spltcnst14).
% 34665 [para:34648.1.2,33397.1.2,cut:33136,cut:34487] $spltprd0($spltcnst14).
% 34666 [binary:33318,34665,cut:34196,cut:34429,cut:34360] 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: 4550
% derived clauses: 334962
% kept clauses: 11996
% kept size sum: 193134
% kept mid-nuclei: 16950
% kept new demods: 1086
% forw unit-subs: 191777
% forw double-subs: 56691
% forw overdouble-subs: 12541
% backward subs: 373
% fast unit cutoff: 1786
% full unit cutoff: 0
% dbl unit cutoff: 1559
% real runtime : 24.19
% process. runtime: 24.18
% specific non-discr-tree subsumption statistics:
% tried: 168545
% length fails: 18959
% strength fails: 63284
% predlist fails: 962
% aux str. fails: 18600
% by-lit fails: 7201
% full subs tried: 55133
% full subs fail: 43194
%
% ; 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/GRP333-1+eq_r.in")
%
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