TSTP Solution File: GRP387-1 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP387-1 : 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 : art05.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 60.0s
% Output : Assurance 60.0s
% 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/GRP387-1+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(inverse(sk_c7),sk_c6) | -equal(multiply(sk_c6,sk_c5),sk_c7) | -equal(multiply(sk_c7,sk_c5),sk_c6) | -equal(inverse(X),sk_c7) | -equal(multiply(X,sk_c6),sk_c7) | -equal(multiply(Y,sk_c7),sk_c6) | -equal(inverse(Y),sk_c7) | -equal(multiply(Z,sk_c6),sk_c5) | -equal(inverse(Z),sk_c6) | -equal(inverse(U),sk_c5) | -equal(multiply(U,sk_c7),sk_c5).
% was split for some strategies as:
% -equal(inverse(U),sk_c5) | -equal(multiply(U,sk_c7),sk_c5).
% -equal(multiply(Z,sk_c6),sk_c5) | -equal(inverse(Z),sk_c6).
% -equal(multiply(Y,sk_c7),sk_c6) | -equal(inverse(Y),sk_c7).
% -equal(inverse(X),sk_c7) | -equal(multiply(X,sk_c6),sk_c7).
% -equal(inverse(sk_c7),sk_c6).
% -equal(multiply(sk_c6,sk_c5),sk_c7).
% -equal(multiply(sk_c7,sk_c5),sk_c6).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(35,40,0,75,0,1,2173,50,30,2213,0,30,4326,50,61,4366,0,61,6484,50,99,6524,0,99,8648,50,123,8688,0,123,10819,50,149,10859,0,149,12998,50,182,13038,0,182,15185,50,227,15225,0,227,17382,50,302,17422,0,303,19589,50,442,19629,0,442,21808,50,667,21848,0,667,24039,50,1055,24039,40,1055,24079,0,1055,34824,3,1356,35572,4,1506,36305,1,1656,36305,50,1656,36305,40,1656,36345,0,1656,36501,3,1969,36509,4,2115,36517,5,2257,36517,1,2257,36517,50,2257,36517,40,2257,36557,0,2257,67079,3,3766,67460,4,4508,67774,1,5258,67774,50,5259,67774,40,5259,67814,0,5259,80679,3,6010,80911,4,6385,81087,5,6760,81088,1,6760,81088,50,6760,81088,40,6760,81128,0,6760)
%
%
% START OF PROOF
% 66300 [?] ?
% 77209 [?] ?
% 77217 [?] ?
% 80169 [?] ?
% 80258 [?] ?
% 80262 [?] ?
% 80327 [?] ?
% 80357 [?] ?
% 81089 [] equal(X,X).
% 81090 [] equal(multiply(identity,X),X).
% 81091 [] equal(multiply(inverse(X),X),identity).
% 81092 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 81096 [] equal(multiply(sk_c1,sk_c6),sk_c7) | equal(inverse(sk_c3),sk_c6).
% 81097 [] equal(multiply(sk_c1,sk_c6),sk_c7) | equal(multiply(sk_c3,sk_c6),sk_c5).
% 81102 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c3),sk_c6).
% 81103 [] equal(multiply(sk_c3,sk_c6),sk_c5) | equal(inverse(sk_c1),sk_c7).
% 81104 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c2),sk_c7).
% 81105 [] equal(multiply(sk_c2,sk_c7),sk_c6) | equal(inverse(sk_c1),sk_c7).
% 81106 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(multiply(sk_c4,sk_c7),sk_c5).
% 81107 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(inverse(sk_c4),sk_c5).
% 81108 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(inverse(sk_c3),sk_c6).
% 81109 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(multiply(sk_c3,sk_c6),sk_c5).
% 81110 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(inverse(sk_c2),sk_c7).
% 81111 [] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(multiply(sk_c2,sk_c7),sk_c6).
% 81112 [] equal(multiply(sk_c6,sk_c5),sk_c7) | equal(multiply(sk_c4,sk_c7),sk_c5).
% 81113 [] equal(multiply(sk_c6,sk_c5),sk_c7) | equal(inverse(sk_c4),sk_c5).
% 81114 [] equal(multiply(sk_c6,sk_c5),sk_c7) | equal(inverse(sk_c3),sk_c6).
% 81115 [] equal(multiply(sk_c6,sk_c5),sk_c7) | equal(multiply(sk_c3,sk_c6),sk_c5).
% 81116 [] equal(multiply(sk_c6,sk_c5),sk_c7) | equal(inverse(sk_c2),sk_c7).
% 81117 [] equal(multiply(sk_c6,sk_c5),sk_c7) | equal(multiply(sk_c2,sk_c7),sk_c6).
% 81118 [] equal(multiply(sk_c4,sk_c7),sk_c5) | equal(inverse(sk_c7),sk_c6).
% 81119 [] equal(inverse(sk_c7),sk_c6) | equal(inverse(sk_c4),sk_c5).
% 81120 [] equal(inverse(sk_c7),sk_c6) | equal(inverse(sk_c3),sk_c6).
% 81121 [] equal(multiply(sk_c3,sk_c6),sk_c5) | equal(inverse(sk_c7),sk_c6).
% 81122 [] equal(inverse(sk_c7),sk_c6) | equal(inverse(sk_c2),sk_c7).
% 81123 [] equal(multiply(sk_c2,sk_c7),sk_c6) | equal(inverse(sk_c7),sk_c6).
% 81124 [] -equal(multiply(sk_c6,sk_c5),sk_c7) | -equal(multiply(sk_c7,sk_c5),sk_c6) | -equal(inverse(sk_c7),sk_c6) | $spltprd0($spltcnst21) | -equal(multiply(X,sk_c7),sk_c5) | -equal(inverse(X),sk_c5).
% 81125 [] $spltprd0($spltcnst22) | -equal(multiply(X,sk_c6),sk_c5) | -equal(inverse(X),sk_c6).
% 81126 [] $spltprd0($spltcnst23) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 81127 [] $spltprd0($spltcnst24) | -equal(multiply(X,sk_c6),sk_c7) | -equal(inverse(X),sk_c7).
% 81128 [] -$spltprd0($spltcnst22) | -$spltprd0($spltcnst21) | -$spltprd0($spltcnst24) | -$spltprd0($spltcnst23).
% 81143 [para:81119.2.1,81091.1.1.1] equal(multiply(sk_c5,sk_c4),identity) | equal(inverse(sk_c7),sk_c6).
% 81146 [para:81120.2.1,81091.1.1.1] equal(multiply(sk_c6,sk_c3),identity) | equal(inverse(sk_c7),sk_c6).
% 81181 [para:81122.2.1,81091.1.1.1] equal(multiply(sk_c7,sk_c2),identity) | equal(inverse(sk_c7),sk_c6).
% 81205 [para:81107.2.1,81091.1.1.1] equal(multiply(sk_c5,sk_c4),identity) | equal(multiply(sk_c7,sk_c5),sk_c6).
% 81208 [para:81108.2.1,81091.1.1.1] equal(multiply(sk_c6,sk_c3),identity) | equal(multiply(sk_c7,sk_c5),sk_c6).
% 81214 [para:81110.2.1,81091.1.1.1] equal(multiply(sk_c7,sk_c2),identity) | equal(multiply(sk_c7,sk_c5),sk_c6).
% 81217 [para:81113.2.1,81091.1.1.1] equal(multiply(sk_c5,sk_c4),identity) | equal(multiply(sk_c6,sk_c5),sk_c7).
% 81220 [para:81114.2.1,81091.1.1.1] equal(multiply(sk_c6,sk_c3),identity) | equal(multiply(sk_c6,sk_c5),sk_c7).
% 81223 [para:81116.2.1,81091.1.1.1] equal(multiply(sk_c7,sk_c2),identity) | equal(multiply(sk_c6,sk_c5),sk_c7).
% 81227 [para:81118.1.1,81092.1.1.1] equal(inverse(sk_c7),sk_c6) | equal(multiply(sk_c5,X),multiply(sk_c4,multiply(sk_c7,X))).
% 81247 [para:81106.2.1,81092.1.1.1] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(multiply(sk_c5,X),multiply(sk_c4,multiply(sk_c7,X))).
% 81259 [para:81143.1.1,81092.1.1.1,demod:81090] equal(inverse(sk_c7),sk_c6) | equal(X,multiply(sk_c5,multiply(sk_c4,X))).
% 81262 [para:81109.2.1,81092.1.1.1] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(multiply(sk_c5,X),multiply(sk_c3,multiply(sk_c6,X))).
% 81267 [para:81146.1.1,81092.1.1.1,demod:81090] equal(inverse(sk_c7),sk_c6) | equal(X,multiply(sk_c6,multiply(sk_c3,X))).
% 81275 [para:81181.1.1,81092.1.1.1,demod:81090] equal(inverse(sk_c7),sk_c6) | equal(X,multiply(sk_c7,multiply(sk_c2,X))).
% 81278 [para:81112.2.1,81092.1.1.1] equal(multiply(sk_c6,sk_c5),sk_c7) | equal(multiply(sk_c5,X),multiply(sk_c4,multiply(sk_c7,X))).
% 81281 [para:81115.2.1,81092.1.1.1] equal(multiply(sk_c6,sk_c5),sk_c7) | equal(multiply(sk_c5,X),multiply(sk_c3,multiply(sk_c6,X))).
% 81322 [para:81205.1.1,81092.1.1.1,demod:81090] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(X,multiply(sk_c5,multiply(sk_c4,X))).
% 81325 [para:81208.1.1,81092.1.1.1,demod:81090] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(X,multiply(sk_c6,multiply(sk_c3,X))).
% 81328 [para:81090.1.1,81125.2.1,cut:80258,cut:66300] $spltprd0($spltcnst22).
% 81330 [binary:81128,81328] -$spltprd0($spltcnst24) | -$spltprd0($spltcnst23) | -$spltprd0($spltcnst21).
% 81333 [para:81214.1.1,81092.1.1.1,demod:81090] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(X,multiply(sk_c7,multiply(sk_c2,X))).
% 81336 [para:81217.1.1,81092.1.1.1,demod:81090] equal(multiply(sk_c6,sk_c5),sk_c7) | equal(X,multiply(sk_c5,multiply(sk_c4,X))).
% 81339 [para:81220.1.1,81092.1.1.1,demod:81090] equal(multiply(sk_c6,sk_c5),sk_c7) | equal(X,multiply(sk_c6,multiply(sk_c3,X))).
% 81351 [para:81104.2.1,81126.3.1,cut:81089,binarycut:81105] equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst23).
% 81358 [para:81122.2.1,81126.3.1,cut:81089,binarycut:81123] equal(inverse(sk_c7),sk_c6) | $spltprd0($spltcnst23).
% 81401 [para:81351.1.1,81091.1.1.1] equal(multiply(sk_c7,sk_c1),identity) | $spltprd0($spltcnst23).
% 81405 [para:81358.1.1,81091.1.1.1] equal(multiply(sk_c6,sk_c7),identity) | $spltprd0($spltcnst23).
% 81427 [para:81102.1.1,81127.3.1,cut:81089,binarycut:81096] equal(inverse(sk_c3),sk_c6) | $spltprd0($spltcnst24).
% 81443 [para:81103.2.1,81127.3.1,cut:81089,binarycut:81097] equal(multiply(sk_c3,sk_c6),sk_c5) | $spltprd0($spltcnst24).
% 81610 [para:81401.1.1,81092.1.1.1,demod:81090] $spltprd0($spltcnst23) | equal(X,multiply(sk_c7,multiply(sk_c1,X))).
% 81615 [para:81405.1.1,81092.1.1.1,demod:81090] $spltprd0($spltcnst23) | equal(X,multiply(sk_c6,multiply(sk_c7,X))).
% 81625 [para:81443.1.1,81127.2.1,cut:80262] -equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst24).
% 81635 [para:81427.1.1,81625.1.1,cut:80357] $spltprd0($spltcnst24).
% 81636 [binary:81330,81635] -$spltprd0($spltcnst23) | -$spltprd0($spltcnst21).
% 81688 [para:81610.2.2,81615.2.2.2] $spltprd0($spltcnst23) | equal(multiply(sk_c1,X),multiply(sk_c6,X)).
% 81730 [para:81688.2.2,81405.1.1] equal(multiply(sk_c1,sk_c7),identity) | $spltprd0($spltcnst23).
% 81737 [para:81730.1.1,81126.2.1,cut:80169,binarycut:81351] $spltprd0($spltcnst23).
% 81739 [binary:81636,81737] -$spltprd0($spltcnst21).
% 81741 [para:81223.1.1,81092.1.1.1,demod:81090] equal(multiply(sk_c6,sk_c5),sk_c7) | equal(X,multiply(sk_c7,multiply(sk_c2,X))).
% 83221 [para:81090.1.1,81124.5.1,cut:80327,cut:77209,cut:81739] -equal(multiply(sk_c6,sk_c5),sk_c7) | -equal(multiply(sk_c7,sk_c5),sk_c6) | -equal(inverse(sk_c7),sk_c6).
% 83227 [para:81122.1.1,83221.3.1,cut:81089,binarycut:81116,binarycut:81110] equal(inverse(sk_c2),sk_c7).
% 83229 [para:81118.2.1,83221.3.1,cut:81089,binarycut:81112,binarycut:81106] equal(multiply(sk_c4,sk_c7),sk_c5).
% 83231 [para:81121.2.1,83221.3.1,cut:81089,binarycut:81115,binarycut:81109] equal(multiply(sk_c3,sk_c6),sk_c5).
% 83233 [para:81123.2.1,83221.3.1,cut:81089,binarycut:81117,binarycut:81111] equal(multiply(sk_c2,sk_c7),sk_c6).
% 83252 [para:81259.1.1,83221.3.1,cut:81089,binarycut:81336,binarycut:81322] equal(X,multiply(sk_c5,multiply(sk_c4,X))).
% 83254 [para:81267.1.1,83221.3.1,cut:81089,binarycut:81339,binarycut:81325] equal(X,multiply(sk_c6,multiply(sk_c3,X))).
% 83256 [para:81275.1.1,83221.3.1,cut:81089,binarycut:81741,binarycut:81333] equal(X,multiply(sk_c7,multiply(sk_c2,X))).
% 83262 [para:83227.1.1,81091.1.1.1] equal(multiply(sk_c7,sk_c2),identity).
% 83265 [para:83229.1.1,83252.1.2.2] equal(sk_c7,multiply(sk_c5,sk_c5)).
% 83271 [para:83231.1.1,83254.1.2.2] equal(sk_c6,multiply(sk_c6,sk_c5)).
% 83275 [?] ?
% 83276 [para:81262.1.2,83271.2.2.2,demod:83231,83265] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(sk_c7,sk_c5).
% 83277 [para:81281.1.2,83271.2.2.2,demod:83271,83231,83265] equal(sk_c7,sk_c5) | equal(sk_c6,sk_c7).
% 83303 [para:83277.2.2,83221.1.2,demod:83271,cut:81089,binarycut:83276,binarycut:83275] equal(sk_c7,sk_c5).
% 83329 [para:83303.1.1,83233.1.1.2] equal(multiply(sk_c2,sk_c5),sk_c6).
% 83330 [para:83303.1.1,83262.1.1.1] equal(multiply(sk_c5,sk_c2),identity).
% 83340 [para:83330.1.1,81092.1.1.1,demod:81090] equal(X,multiply(sk_c5,multiply(sk_c2,X))).
% 83343 [para:81227.1.2,83256.2.2.2,demod:83340] equal(inverse(sk_c7),sk_c6) | equal(X,multiply(sk_c4,X)).
% 83344 [para:81247.1.2,83256.2.2.2,demod:83340] equal(multiply(sk_c7,sk_c5),sk_c6) | equal(X,multiply(sk_c4,X)).
% 83347 [para:81278.1.2,83256.2.2.2,demod:83271,83340] equal(sk_c6,sk_c7) | equal(X,multiply(sk_c4,X)).
% 83350 [para:83233.1.1,83256.1.2.2] equal(sk_c7,multiply(sk_c7,sk_c6)).
% 83362 [para:83303.1.1,83350.1.2.1] equal(sk_c7,multiply(sk_c5,sk_c6)).
% 83379 [para:83347.1.2,83221.1.2,demod:83271,cut:81089,binarycut:83344,binarycut:83343] equal(X,multiply(sk_c4,X)).
% 83392 [para:83379.1.2,83252.1.2.2] equal(X,multiply(sk_c5,X)).
% 83394 [para:83392.1.2,83330.1.1] equal(sk_c2,identity).
% 83395 [para:83392.1.2,83362.1.2] equal(sk_c7,sk_c6).
% 83408 [para:83394.1.1,83329.1.1.1,demod:81090] equal(sk_c5,sk_c6).
% 83409 [para:83394.1.1,83256.1.2.2.1,demod:81090] equal(X,multiply(sk_c7,X)).
% 83414 [para:83395.1.1,83221.1.2,demod:83409,83271,cut:81089,cut:83408] -equal(inverse(sk_c7),sk_c6).
% 83421 [para:83303.1.1,83414.1.1.1] -equal(inverse(sk_c5),sk_c6).
% 83424 [para:83408.1.2,83421.1.2,cut:77217] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 15
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 8576
% derived clauses: 1172060
% kept clauses: 51922
% kept size sum: 730240
% kept mid-nuclei: 17303
% kept new demods: 886
% forw unit-subs: 519247
% forw double-subs: 523877
% forw overdouble-subs: 31733
% backward subs: 10485
% fast unit cutoff: 2795
% full unit cutoff: 0
% dbl unit cutoff: 5725
% real runtime : 68.11
% process. runtime: 68.9
% specific non-discr-tree subsumption statistics:
% tried: 1459469
% length fails: 241848
% strength fails: 379359
% predlist fails: 4728
% aux str. fails: 290924
% by-lit fails: 93839
% full subs tried: 151466
% full subs fail: 134591
%
% ; 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/GRP387-1+eq_r.in")
%
%------------------------------------------------------------------------------