%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP214-1 : 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 10.0s
% Output : Assurance 10.0s
% 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/GRP214-1+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 13)
% (binary-unit 12 #f)
% (binary-unit-uniteq 12 #f)
% (binary-posweight-kb-big-order 60 #f 3 13)
% (binary-posweight-lex-big-order 30 #f 3 13)
% (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(sk_c7,Y),sk_c6) | -equal(multiply(Z,sk_c7),U) | -equal(inverse(Z),sk_c7) | -equal(multiply(V,U),sk_c6) | -equal(inverse(V),U).
% was split for some strategies as:
% -equal(multiply(Z,sk_c7),U) | -equal(inverse(Z),sk_c7) | -equal(multiply(V,U),sk_c6) | -equal(inverse(V),U).
% -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% -equal(multiply(sk_c7,Y),sk_c6).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(17,40,0,40,0,0,203712,50,737,203735,0,737,369473,4,1273)
%
%
% START OF PROOF
% 203713 [] equal(X,X).
% 203714 [] equal(multiply(identity,X),X).
% 203715 [] equal(multiply(inverse(X),X),identity).
% 203716 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 203722 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c4),sk_c5).
% 203723 [] equal(multiply(sk_c4,sk_c5),sk_c6) | equal(inverse(sk_c1),sk_c7).
% 203724 [] equal(inverse(sk_c1),sk_c7) | equal(inverse(sk_c3),sk_c7).
% 203725 [] equal(multiply(sk_c3,sk_c7),sk_c5) | equal(inverse(sk_c1),sk_c7).
% 203726 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(inverse(sk_c4),sk_c5).
% 203727 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(multiply(sk_c4,sk_c5),sk_c6).
% 203728 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(inverse(sk_c3),sk_c7).
% 203729 [] equal(multiply(sk_c1,sk_c7),sk_c6) | equal(multiply(sk_c3,sk_c7),sk_c5).
% 203730 [] -equal(multiply(X,Y),sk_c6) | -equal(inverse(X),Y) | $spltprd1($spltcnst2,Y).
% 203731 [] -equal(multiply(X,sk_c7),Y) | -equal(inverse(X),sk_c7) | $spltprd1($spltcnst3,Y).
% 203732 [] $spltprd0($spltcnst4) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 203733 [] $spltprd0($spltcnst5) | -equal(multiply(sk_c7,X),sk_c6).
% 203734 [] $spltprd0($spltcnst1) | -$spltprd1($spltcnst2,X) | -$spltprd1($spltcnst3,X).
% 203735 [] -$spltprd0($spltcnst4) | -$spltprd0($spltcnst1) | -$spltprd0($spltcnst5).
% 203761 [hyper:203730,203722,binarycut:203723] equal(inverse(sk_c1),sk_c7) | $spltprd1($spltcnst2,sk_c5).
% 203765 [hyper:203732,203722,binarycut:203726] equal(inverse(sk_c4),sk_c5) | $spltprd0($spltcnst4).
% 203839 [hyper:203732,203724,binarycut:203728] equal(inverse(sk_c3),sk_c7) | $spltprd0($spltcnst4).
% 204097 [hyper:203732,203723,binarycut:203727] equal(multiply(sk_c4,sk_c5),sk_c6) | $spltprd0($spltcnst4).
% 204204 [hyper:203730,204097,binarycut:203765] $spltprd1($spltcnst2,sk_c5) | $spltprd0($spltcnst4).
% 204358 [hyper:203731,203725,203724] equal(inverse(sk_c1),sk_c7) | $spltprd1($spltcnst3,sk_c5).
% 204362 [hyper:203732,203725,binarycut:203729] equal(multiply(sk_c3,sk_c7),sk_c5) | $spltprd0($spltcnst4).
% 204492 [hyper:203734,204358,203761] equal(inverse(sk_c1),sk_c7) | $spltprd0($spltcnst1).
% 204511 [hyper:203731,204362,binarycut:203839] $spltprd1($spltcnst3,sk_c5) | $spltprd0($spltcnst4).
% 204730 [hyper:203731,203726,binarycut:203722] equal(inverse(sk_c4),sk_c5) | $spltprd1($spltcnst3,sk_c6).
% 204946 [hyper:203734,204511,binarycut:204204] $spltprd0($spltcnst1) | $spltprd0($spltcnst4).
% 208468 [hyper:203730,203727,203726] equal(multiply(sk_c1,sk_c7),sk_c6) | $spltprd1($spltcnst2,sk_c5).
% 208472 [hyper:203731,203727,203723] equal(multiply(sk_c4,sk_c5),sk_c6) | $spltprd1($spltcnst3,sk_c6).
% 211993 [hyper:203730,204730,binarycut:208472] $spltprd1($spltcnst2,sk_c5) | $spltprd1($spltcnst3,sk_c6).
% 212482 [hyper:203731,203728,binarycut:203724] equal(inverse(sk_c3),sk_c7) | $spltprd1($spltcnst3,sk_c6).
% 218231 [hyper:203731,203729,203725] equal(multiply(sk_c3,sk_c7),sk_c5) | $spltprd1($spltcnst3,sk_c6).
% 218233 [hyper:203731,203729,203728] equal(multiply(sk_c1,sk_c7),sk_c6) | $spltprd1($spltcnst3,sk_c5).
% 227179 [hyper:203731,218231,binarycut:212482] $spltprd1($spltcnst3,sk_c5) | $spltprd1($spltcnst3,sk_c6).
% 227184 [hyper:203734,227179,binarycut:211993] $spltprd1($spltcnst3,sk_c6) | $spltprd0($spltcnst1).
% 229418 [hyper:203734,218233,208468] equal(multiply(sk_c1,sk_c7),sk_c6) | $spltprd0($spltcnst1).
% 231653 [para:203715.1.1,203716.1.1.1,demod:203714] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 236826 [para:203715.1.1,231653.1.2.2] equal(X,multiply(inverse(inverse(X)),identity)).
% 236832 [para:231653.1.2,231653.1.2.2] equal(multiply(X,Y),multiply(inverse(inverse(X)),Y)).
% 236851 [para:236832.1.2,203715.1.1] equal(multiply(X,inverse(X)),identity).
% 236854 [para:236832.1.2,231653.1.2] equal(X,multiply(Y,multiply(inverse(Y),X))).
% 236855 [para:236832.1.2,236826.1.2] equal(X,multiply(X,identity)).
% 236943 [para:236855.1.2,203715.1.1] equal(inverse(identity),identity).
% 236948 [para:236855.1.2,236826.1.2] equal(X,inverse(inverse(X))).
% 369479 [binary:203732,203735] -$spltprd0($spltcnst1) | -$spltprd0($spltcnst5) | -equal(multiply(X,sk_c7),sk_c6) | -equal(inverse(X),sk_c7).
% 369499 [binary:203733,203735.3] -$spltprd0($spltcnst4) | -$spltprd0($spltcnst1) | -equal(multiply(sk_c7,X),sk_c6).
% 370214 [para:236854.1.2,369499.3.1,slowcut:203714] -$spltprd0($spltcnst1) | -$spltprd0($spltcnst4).
% 370294 [para:203715.1.1,369479.3.1,demod:236948,cut:203713] -equal(identity,sk_c6) | -$spltprd0($spltcnst5) | -$spltprd0($spltcnst1).
% 370309 [binary:204362.2,370214.2] equal(multiply(sk_c3,sk_c7),sk_c5) | -$spltprd0($spltcnst1).
% 370310 [binary:204492.2,370214] equal(inverse(sk_c1),sk_c7) | -$spltprd0($spltcnst4).
% 370312 [binary:204097.2,370214.2] equal(multiply(sk_c4,sk_c5),sk_c6) | -$spltprd0($spltcnst1).
% 370315 [binary:203839.2,370214.2] equal(inverse(sk_c3),sk_c7) | -$spltprd0($spltcnst1).
% 370316 [binary:203765.2,370214.2] equal(inverse(sk_c4),sk_c5) | -$spltprd0($spltcnst1).
% 370373 [para:370310.1.1,236851.1.1.2] equal(multiply(sk_c1,sk_c7),identity) | -$spltprd0($spltcnst4).
% 370380 [para:370315.1.1,236851.1.1.2] equal(multiply(sk_c3,sk_c7),identity) | -$spltprd0($spltcnst1).
% 370388 [para:370316.1.1,236948.1.2.1] equal(sk_c4,inverse(sk_c5)) | -$spltprd0($spltcnst1).
% 370524 [para:370380.1.1,370309.1.1] equal(identity,sk_c5) | -$spltprd0($spltcnst1).
% 370562 [para:370524.1.2,370388.1.2.1,demod:236943] equal(sk_c4,identity) | -$spltprd0($spltcnst1).
% 370563 [para:370524.1.2,370312.1.1.2,demod:236855] equal(sk_c4,sk_c6) | -$spltprd0($spltcnst1).
% 370597 [para:370563.1.1,370562.1.1] equal(sk_c6,identity) | -$spltprd0($spltcnst1).
% 370638 [para:370597.1.1,370294.1.2,cut:203713] -$spltprd0($spltcnst5) | -$spltprd0($spltcnst1).
% 370649 [binary:203733,370638] -$spltprd0($spltcnst1) | -equal(multiply(sk_c7,X),sk_c6).
% 370817 [para:236854.1.2,370649.2.1,slowcut:203714] -$spltprd0($spltcnst1).
% 370828 [binary:229418.2,370817] equal(multiply(sk_c1,sk_c7),sk_c6).
% 370829 [binary:227184.2,370817] $spltprd1($spltcnst3,sk_c6).
% 370832 [binary:204946,370817] $spltprd0($spltcnst4).
% 370833 [binary:204492.2,370817] equal(inverse(sk_c1),sk_c7).
% 370835 [binary:203734,370817] -$spltprd1($spltcnst2,X) | -$spltprd1($spltcnst3,X).
% 370839 [para:370833.1.1,236854.1.2.2.1] equal(X,multiply(sk_c1,multiply(sk_c7,X))).
% 370847 [para:370828.1.1,203716.1.1.1,demod:370839] equal(multiply(sk_c6,X),X).
% 370848 [para:370373.1.1,370828.1.1,cut:370832] equal(identity,sk_c6).
% 370850 [para:370847.1.1,236851.1.1] equal(inverse(sk_c6),identity).
% 370890 [binary:203730.3,370835] -equal(multiply(X,Y),sk_c6) | -equal(inverse(X),Y) | -$spltprd1($spltcnst3,Y).
% 370891 [binary:370847,370890,demod:370850,cut:370848,cut:370829] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 13
% clause depth limited to 4
% seconds given: 15
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 265
% derived clauses: 421900
% kept clauses: 1321
% kept size sum: 24463
% kept mid-nuclei: 281697
% kept new demods: 40
% forw unit-subs: 1133
% forw double-subs: 106379
% forw overdouble-subs: 1525
% backward subs: 185
% fast unit cutoff: 316
% full unit cutoff: 10712
% dbl unit cutoff: 76846
% real runtime : 12.86
% process. runtime: 12.84
% specific non-discr-tree subsumption statistics:
% tried: 194388
% length fails: 1263
% strength fails: 6000
% predlist fails: 2323
% aux str. fails: 770
% by-lit fails: 58589
% full subs tried: 124826
% full subs fail: 123584
%
% ; 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/GRP214-1+eq_r.in")
%
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