TSTP Solution File: GRP583-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP583-1 : TPTP v3.4.2. Released v2.6.0.
% 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 0.0s
% Output : Assurance 0.0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
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%----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/GRP583-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: ueq
%
% strategies selected:
% (binary-posweight-kb-big-order 60 #f 6 1)
% (binary-posweight-lex-big-order 30 #f 6 1)
% (binary 30 #t)
% (binary-posweight-kb-big-order 180 #f)
% (binary-posweight-lex-big-order 120 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-posweight-kb-small-order 60 #f)
% (binary-posweight-lex-small-order 60 #f)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(6,40,0,12,0,0)
%
%
% START OF PROOF
% 8 [] equal(double_divide(double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X)))),double_divide(identity,identity)),Z).
% 9 [] equal(multiply(X,Y),double_divide(double_divide(Y,X),identity)).
% 10 [] equal(inverse(X),double_divide(X,identity)).
% 11 [] equal(identity,double_divide(X,inverse(X))).
% 12 [] -equal(multiply(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 13 [para:9.1.2,10.1.2] equal(inverse(double_divide(X,Y)),multiply(Y,X)).
% 14 [para:10.1.2,9.1.2.1,demod:10] equal(multiply(identity,X),inverse(inverse(X))).
% 15 [para:11.1.2,9.1.2.1,demod:10] equal(multiply(inverse(X),X),inverse(identity)).
% 16 [para:9.1.2,9.1.2.1,demod:10] equal(multiply(identity,double_divide(X,Y)),inverse(multiply(Y,X))).
% 17 [para:14.1.2,11.1.2.2] equal(identity,double_divide(inverse(X),multiply(identity,X))).
% 18 [para:14.1.2,14.1.2.1] equal(multiply(identity,inverse(X)),inverse(multiply(identity,X))).
% 20 [para:13.1.1,11.1.2.2] equal(identity,double_divide(double_divide(X,Y),multiply(Y,X))).
% 21 [para:13.1.1,15.1.1.1] equal(multiply(multiply(X,Y),double_divide(Y,X)),inverse(identity)).
% 25 [para:10.1.2,8.1.1.1.2.1,demod:10] equal(double_divide(double_divide(X,double_divide(inverse(identity),double_divide(Y,double_divide(identity,X)))),inverse(identity)),Y).
% 26 [para:10.1.2,8.1.1.1.2.2.2,demod:10] equal(double_divide(double_divide(identity,double_divide(double_divide(identity,X),double_divide(Y,inverse(X)))),inverse(identity)),Y).
% 28 [para:11.1.2,8.1.1.1.2.2.2,demod:10] equal(double_divide(double_divide(inverse(X),double_divide(double_divide(identity,X),inverse(Y))),inverse(identity)),Y).
% 29 [para:8.1.1,9.1.2.1,demod:10] equal(multiply(inverse(identity),double_divide(X,double_divide(double_divide(identity,Y),double_divide(Z,double_divide(Y,X))))),inverse(Z)).
% 30 [para:9.1.2,8.1.1.1.2.2.2,demod:10] equal(double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X,Y)),double_divide(Z,multiply(Y,X)))),inverse(identity)),Z).
% 41 [para:11.1.2,28.1.1.1.2,demod:14,10] equal(double_divide(multiply(identity,X),inverse(identity)),double_divide(identity,X)).
% 46 [para:41.1.1,9.1.2.1,demod:9] equal(multiply(inverse(identity),multiply(identity,X)),multiply(X,identity)).
% 48 [para:16.1.1,41.1.1.1] equal(double_divide(inverse(multiply(X,Y)),inverse(identity)),double_divide(identity,double_divide(Y,X))).
% 49 [para:16.1.1,46.1.1.2] equal(multiply(inverse(identity),inverse(multiply(X,Y))),multiply(double_divide(Y,X),identity)).
% 50 [para:10.1.2,25.1.1.1.2.2.2] equal(double_divide(double_divide(identity,double_divide(inverse(identity),double_divide(X,inverse(identity)))),inverse(identity)),X).
% 70 [para:11.1.2,26.1.1.1.2.2,demod:9] equal(double_divide(double_divide(identity,multiply(X,identity)),inverse(identity)),X).
% 78 [para:15.1.1,70.1.1.1.2,demod:11] equal(identity,inverse(identity)).
% 82 [para:70.1.1,50.1.1.1.2.2,demod:9,78] equal(multiply(double_divide(identity,X),identity),double_divide(identity,multiply(X,identity))).
% 83 [para:78.1.2,14.1.2.1,demod:78] equal(multiply(identity,identity),identity).
% 84 [para:78.1.2,28.1.1.1.1,demod:82,9,78,10] equal(double_divide(identity,multiply(inverse(X),identity)),X).
% 87 [para:78.1.2,41.1.1.2,demod:18,10] equal(multiply(identity,inverse(X)),double_divide(identity,X)).
% 88 [para:78.1.2,46.1.1.1] equal(multiply(identity,multiply(identity,X)),multiply(X,identity)).
% 91 [para:78.1.2,49.1.1.1,demod:87] equal(double_divide(identity,multiply(X,Y)),multiply(double_divide(Y,X),identity)).
% 92 [para:78.1.2,70.1.1.2,demod:9] equal(multiply(multiply(X,identity),identity),X).
% 93 [para:92.1.1,20.1.2.2] equal(identity,double_divide(double_divide(identity,multiply(X,identity)),X)).
% 108 [para:13.1.1,84.1.1.2.1] equal(double_divide(identity,multiply(multiply(X,Y),identity)),double_divide(Y,X)).
% 115 [para:14.1.2,87.1.1.2,demod:88] equal(multiply(X,identity),double_divide(identity,inverse(X))).
% 119 [para:87.1.1,46.1.1.2,demod:16,78] equal(inverse(multiply(X,identity)),multiply(inverse(X),identity)).
% 146 [para:93.1.2,8.1.1.1.2.2,demod:91,78,10,9] equal(multiply(multiply(X,identity),Y),double_divide(identity,double_divide(identity,multiply(Y,X)))).
% 147 [para:93.1.2,8.1.1.1.2.2.2,demod:9,78,10,83,146] equal(multiply(double_divide(multiply(identity,X),inverse(Y)),X),Y).
% 148 [para:93.1.2,30.1.1.1.2.2,demod:108,10,78,146,91,9] equal(inverse(multiply(multiply(X,identity),Y)),double_divide(X,Y)).
% 175 [para:21.1.1,148.1.1.1,demod:78] equal(identity,double_divide(X,double_divide(identity,X))).
% 180 [para:92.1.1,148.1.1.1.1] equal(inverse(multiply(X,Y)),double_divide(multiply(X,identity),Y)).
% 187 [para:175.1.2,8.1.1.1.2.2,demod:14,78,10] equal(multiply(identity,X),X).
% 189 [para:175.1.2,29.1.1.2.2.2,demod:87,10,78] equal(double_divide(identity,X),inverse(X)).
% 192 [para:175.1.2,30.1.1.1.2.1,demod:187,14,180,78,119,189,115,10,83] equal(multiply(X,identity),X).
% 193 [para:187.1.1,17.1.2.2] equal(identity,double_divide(inverse(X),X)).
% 195 [para:187.1.1,16.1.1] equal(double_divide(X,Y),inverse(multiply(Y,X))).
% 196 [para:187.1.1,30.1.1.1.2.2.2,demod:195,78,13,189,192,115,10] equal(double_divide(X,double_divide(Y,X)),Y).
% 198 [para:192.1.1,148.1.1.1.1,demod:195] equal(double_divide(X,Y),double_divide(Y,X)).
% 220 [para:193.1.2,8.1.1.1.2.2,demod:13,9,78,187,14,10,189] equal(multiply(X,Y),multiply(Y,X)).
% 228 [para:196.1.1,196.1.1.2] equal(double_divide(double_divide(X,Y),X),Y).
% 234 [para:198.1.1,25.1.1.1.2.2,demod:9,13,189,78] equal(multiply(multiply(X,inverse(Y)),Y),X).
% 248 [para:220.1.1,12.1.1.1] -equal(multiply(multiply(b3,a3),c3),multiply(a3,multiply(b3,c3))).
% 255 [para:228.1.1,25.1.1.1.2.2,demod:9,189,78] equal(multiply(inverse(X),Y),double_divide(inverse(Y),X)).
% 274 [para:147.1.1,234.1.1.1,demod:189,87] equal(multiply(X,Y),double_divide(inverse(Y),inverse(X))).
% 282 [para:220.1.1,248.1.2] -equal(multiply(multiply(b3,a3),c3),multiply(multiply(b3,c3),a3)).
% 294 [para:13.1.1,255.1.1.1] equal(multiply(multiply(X,Y),Z),double_divide(inverse(Z),double_divide(Y,X))).
% 301 [para:274.1.2,8.1.1.1.2.2.2,demod:195,10,78,189,294,192,115] equal(double_divide(X,multiply(double_divide(Y,multiply(X,Z)),Z)),Y).
% 302 [para:148.1.1,274.1.2.1,demod:192] equal(multiply(X,multiply(Y,Z)),double_divide(double_divide(Y,Z),inverse(X))).
% 306 [para:195.1.2,274.1.2.1,demod:302] equal(multiply(X,multiply(Y,Z)),multiply(X,multiply(Z,Y))).
% 527 [para:228.1.1,301.1.1.2.1] equal(double_divide(X,multiply(Y,Z)),double_divide(multiply(X,Z),Y)).
% 579 [para:306.1.1,48.1.1.1.1,demod:13,189,9,78,527,195,slowcut:282] 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 1
% clause depth limited to 6
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 149
% derived clauses: 10247
% kept clauses: 565
% kept size sum: 7059
% kept mid-nuclei: 0
% kept new demods: 521
% forw unit-subs: 9641
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 8
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.18
% process. runtime: 0.14
% specific non-discr-tree subsumption statistics:
% tried: 0
% length fails: 0
% strength fails: 0
% predlist fails: 0
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 0
% full subs fail: 0
%
% ; 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/GRP583-1+eq_r.in")
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