TSTP Solution File: GRP588-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP588-1 : TPTP v3.4.2. Bugfixed v2.7.0.
% 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 0.0s
% Output : Assurance 0.0s
% 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/GRP588-1+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 7 1)
% (binary-posweight-lex-big-order 30 #f 7 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(4,40,0,8,0,0)
%
%
% START OF PROOF
% 6 [] equal(double_divide(X,inverse(double_divide(inverse(double_divide(double_divide(X,Y),inverse(Z))),Y))),Z).
% 7 [] equal(multiply(X,Y),inverse(double_divide(Y,X))).
% 8 [] -equal(multiply(a,b),multiply(b,a)).
% 9 [para:6.1.1,7.1.2.1,demod:7] equal(multiply(multiply(X,multiply(inverse(Y),double_divide(Z,X))),Z),inverse(Y)).
% 10 [para:7.1.2,6.1.1.2,demod:7] equal(double_divide(X,multiply(Y,multiply(inverse(Z),double_divide(X,Y)))),Z).
% 11 [para:7.1.2,6.1.1.2.1.1.1.2,demod:7] equal(double_divide(X,multiply(Y,multiply(multiply(Z,U),double_divide(X,Y)))),double_divide(U,Z)).
% 12 [para:6.1.1,6.1.1.2.1.1.1,demod:7] equal(double_divide(X,multiply(Y,inverse(Z))),double_divide(multiply(inverse(Z),double_divide(double_divide(X,Y),U)),U)).
% 13 [para:6.1.1,6.1.1.2.1.1.1.1,demod:7] equal(double_divide(X,multiply(multiply(Y,multiply(inverse(Z),double_divide(X,Y))),multiply(inverse(U),Z))),U).
% 14 [para:7.1.2,9.1.1.1.2.1,demod:7] equal(multiply(multiply(X,multiply(multiply(Y,Z),double_divide(U,X))),U),multiply(Y,Z)).
% 16 [para:11.1.1,6.1.1.2.1.1.1.1,demod:7] equal(double_divide(X,multiply(multiply(Y,multiply(multiply(Z,U),double_divide(X,Y))),multiply(inverse(V),double_divide(U,Z)))),V).
% 17 [para:6.1.1,11.1.1.2.2.2,demod:7] equal(double_divide(X,multiply(multiply(Y,multiply(inverse(Z),double_divide(X,Y))),multiply(multiply(U,V),Z))),double_divide(V,U)).
% 18 [para:11.1.1,9.1.1.1.2.2] equal(multiply(multiply(multiply(X,multiply(multiply(Y,Z),double_divide(U,X))),multiply(inverse(V),double_divide(Z,Y))),U),inverse(V)).
% 19 [para:11.1.1,11.1.1.2.2.2] equal(double_divide(X,multiply(multiply(Y,multiply(multiply(Z,U),double_divide(X,Y))),multiply(multiply(V,W),double_divide(U,Z)))),double_divide(W,V)).
% 20 [para:6.1.1,14.1.1.1.2.2,demod:7] equal(multiply(multiply(multiply(X,multiply(inverse(Y),double_divide(Z,X))),multiply(multiply(U,V),Y)),Z),multiply(U,V)).
% 21 [para:9.1.1,14.1.1.1.2] equal(multiply(multiply(X,inverse(Y)),Z),multiply(U,multiply(inverse(Y),double_divide(double_divide(Z,X),U)))).
% 26 [para:6.1.1,12.1.2.1.2,demod:12,7] equal(double_divide(X,multiply(Y,inverse(Z))),double_divide(multiply(inverse(Z),U),multiply(multiply(Y,inverse(U)),X))).
% 36 [para:9.1.1,13.1.1.2] equal(double_divide(multiply(inverse(X),Y),inverse(Y)),X).
% 42 [para:36.1.1,7.1.2.1] equal(multiply(inverse(X),multiply(inverse(Y),X)),inverse(Y)).
% 43 [para:7.1.2,36.1.1.1.1] equal(double_divide(multiply(multiply(X,Y),Z),inverse(Z)),double_divide(Y,X)).
% 44 [para:7.1.2,36.1.1.2] equal(double_divide(multiply(inverse(X),double_divide(Y,Z)),multiply(Z,Y)),X).
% 55 [para:7.1.2,42.1.1.2.1,demod:7] equal(multiply(inverse(X),multiply(multiply(Y,Z),X)),multiply(Y,Z)).
% 56 [para:42.1.1,36.1.1.1] equal(double_divide(inverse(X),inverse(multiply(inverse(X),Y))),Y).
% 57 [para:42.1.1,42.1.1.2] equal(multiply(inverse(multiply(inverse(X),Y)),inverse(X)),inverse(Y)).
% 58 [para:7.1.2,56.1.1.1,demod:7] equal(double_divide(multiply(X,Y),inverse(multiply(multiply(X,Y),Z))),Z).
% 66 [para:42.1.1,56.1.1.2.1] equal(double_divide(inverse(X),inverse(inverse(Y))),multiply(inverse(Y),X)).
% 70 [para:57.1.1,42.1.1.2] equal(multiply(inverse(inverse(X)),inverse(Y)),inverse(multiply(inverse(X),Y))).
% 72 [para:7.1.2,66.1.1.2.1,demod:7] equal(double_divide(inverse(X),inverse(multiply(Y,Z))),multiply(multiply(Y,Z),X)).
% 84 [para:9.1.1,43.1.1.1] equal(double_divide(inverse(X),inverse(Y)),double_divide(multiply(inverse(X),double_divide(Y,Z)),Z)).
% 106 [para:6.1.1,44.1.1.1.2,demod:26,84,7] equal(double_divide(X,multiply(inverse(X),inverse(Y))),Y).
% 116 [para:7.1.2,106.1.1.2.2] equal(double_divide(X,multiply(inverse(X),multiply(Y,Z))),double_divide(Z,Y)).
% 130 [para:9.1.1,55.1.1.2] equal(multiply(inverse(X),inverse(Y)),multiply(Z,multiply(inverse(Y),double_divide(X,Z)))).
% 131 [para:14.1.1,55.1.1.2] equal(multiply(inverse(X),multiply(Y,Z)),multiply(U,multiply(multiply(Y,Z),double_divide(X,U)))).
% 145 [para:7.1.2,17.1.1.2.1.2.1,demod:131] equal(double_divide(X,multiply(multiply(inverse(X),multiply(Y,Z)),multiply(multiply(U,V),double_divide(Z,Y)))),double_divide(V,U)).
% 181 [para:116.1.1,10.1.1] equal(double_divide(double_divide(X,inverse(X)),inverse(Y)),Y).
% 192 [para:181.1.1,6.1.1,demod:84,7] equal(double_divide(inverse(X),multiply(inverse(Y),Y)),X).
% 196 [para:7.1.2,192.1.1.1] equal(double_divide(multiply(X,Y),multiply(inverse(Z),Z)),double_divide(Y,X)).
% 199 [para:192.1.1,6.1.1.2.1.1.1.1,demod:196,7] equal(double_divide(inverse(X),multiply(inverse(Y),X)),Y).
% 209 [para:70.1.1,192.1.1.2,demod:72] equal(multiply(multiply(inverse(X),X),Y),Y).
% 221 [para:18.1.1,55.1.1.2,demod:131] equal(multiply(inverse(X),inverse(Y)),multiply(multiply(inverse(X),multiply(Z,U)),multiply(inverse(Y),double_divide(U,Z)))).
% 243 [para:209.1.1,55.1.1.2.1,demod:209] equal(multiply(inverse(X),multiply(Y,X)),Y).
% 244 [para:209.1.1,58.1.1.1,demod:209] equal(double_divide(X,inverse(multiply(X,Y))),Y).
% 259 [para:243.1.1,57.1.1.1.1] equal(multiply(inverse(X),inverse(Y)),inverse(multiply(X,Y))).
% 267 [para:244.1.1,6.1.1.2.1.1.1,demod:7] equal(double_divide(X,multiply(Y,inverse(Z))),multiply(double_divide(X,Y),Z)).
% 313 [para:19.1.1,12.1.2.1.2.1,demod:7,84,145,267,131] equal(multiply(double_divide(X,Y),Z),double_divide(inverse(Z),multiply(Y,X))).
% 379 [para:199.1.1,7.1.2.1] equal(multiply(multiply(inverse(X),Y),inverse(Y)),inverse(X)).
% 392 [para:199.1.1,106.1.1] equal(inverse(inverse(X)),X).
% 396 [para:199.1.1,116.1.1] equal(inverse(multiply(X,Y)),double_divide(Y,X)).
% 398 [para:199.1.1,18.1.1.1.2.2,demod:396,259,130,379] equal(multiply(multiply(double_divide(X,Y),multiply(inverse(Z),X)),Y),inverse(Z)).
% 404 [para:9.1.1,20.1.1.1.2.1,demod:398,396,259,130] equal(inverse(X),multiply(double_divide(X,Y),Y)).
% 405 [para:20.1.1,11.1.1.2.2,demod:267,7,130] equal(double_divide(X,multiply(Y,multiply(Z,U))),multiply(double_divide(multiply(multiply(Z,U),V),multiply(Y,X)),V)).
% 408 [para:14.1.1,20.1.1.1.2,demod:131,396,259,130] equal(multiply(multiply(double_divide(X,Y),multiply(Z,U)),Y),multiply(inverse(X),multiply(Z,U))).
% 416 [para:20.1.1,16.1.1.2.1.2,demod:396,259,405,267,7,130] equal(double_divide(X,double_divide(Y,X)),Y).
% 422 [para:70.1.1,20.1.1.1.2.1,demod:392,243,408,396,259,130] equal(double_divide(X,inverse(Y)),multiply(Y,inverse(X))).
% 424 [para:18.1.1,20.1.1.1.2,demod:221,131,7,422,396,259,130] equal(multiply(double_divide(X,multiply(Y,Z)),Y),double_divide(X,Z)).
% 440 [para:392.1.1,66.1.1.2] equal(double_divide(inverse(X),Y),multiply(inverse(Y),X)).
% 450 [para:392.1.1,199.1.1.1,demod:392,440] equal(double_divide(X,double_divide(X,Y)),Y).
% 458 [para:11.1.1,21.1.2.2.2.1,demod:424,7,422,396,440,131] equal(double_divide(X,double_divide(Y,Z)),multiply(U,double_divide(multiply(U,double_divide(Y,Z)),X))).
% 459 [para:21.1.2,14.1.1.1.2.1,demod:458,7,404,396,440,131,422] equal(multiply(double_divide(X,inverse(Y)),Z),double_divide(X,double_divide(Z,Y))).
% 467 [para:21.1.2,56.1.1.2.1,demod:440,313,7,459,422] equal(multiply(double_divide(X,double_divide(Y,Z)),U),double_divide(double_divide(multiply(Z,Y),U),X)).
% 469 [para:21.1.2,57.1.1.1.1,demod:440,396,7,459,422] equal(double_divide(X,double_divide(Y,double_divide(Z,U))),multiply(Y,double_divide(multiply(U,Z),X))).
% 475 [para:44.1.1,21.1.2.2.2.1,demod:416,469,450,467,7,440,396,422] equal(double_divide(X,Y),double_divide(Y,X)).
% 532 [para:475.1.1,7.1.2.1,demod:7,slowcut:8] 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 7
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 47
% derived clauses: 1471
% kept clauses: 522
% kept size sum: 9015
% kept mid-nuclei: 0
% kept new demods: 472
% forw unit-subs: 929
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 0
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.4
% process. runtime: 0.3
% 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/GRP588-1+eq_r.in")
%
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