TSTP Solution File: GRP587-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP587-1 : 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 : art04.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/GRP587-1+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(multiply(a3,b3),c3),multiply(a3,multiply(b3,c3))).
% 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).
% 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)).
% 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)).
% 78 [para:66.1.1,12.1.2.1.2.1,demod:72,70] equal(multiply(multiply(inverse(X),Y),Z),double_divide(multiply(inverse(Y),double_divide(multiply(inverse(X),Z),U)),U)).
% 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)))).
% 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).
% 194 [para:66.1.1,181.1.1.1] equal(double_divide(multiply(inverse(X),X),inverse(Y)),Y).
% 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).
% 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).
% 258 [para:243.1.1,57.1.1.1.1] equal(multiply(inverse(X),inverse(Y)),inverse(multiply(X,Y))).
% 279 [para:244.1.1,181.1.1] equal(X,multiply(double_divide(Y,inverse(Y)),X)).
% 303 [para:194.1.1,6.1.1,demod:78,7] equal(multiply(multiply(inverse(X),Y),X),Y).
% 343 [para:303.1.1,14.1.1.1.2,demod:7] equal(multiply(multiply(X,Y),Z),multiply(multiply(X,Z),Y)).
% 378 [para:199.1.1,116.1.1] equal(inverse(multiply(X,Y)),double_divide(Y,X)).
% 381 [para:243.1.1,199.1.1.2,demod:378] equal(double_divide(double_divide(X,Y),Y),X).
% 413 [para:9.1.1,20.1.1.1.2,demod:378,258,130] equal(multiply(multiply(double_divide(X,Y),inverse(Z)),Y),double_divide(Z,X)).
% 447 [para:36.1.1,381.1.1.1] equal(double_divide(X,inverse(Y)),multiply(inverse(X),Y)).
% 477 [para:56.1.1,21.1.2.2.2.1,demod:413,7,447] equal(double_divide(X,Y),multiply(Z,double_divide(X,multiply(Z,Y)))).
% 494 [para:192.1.1,21.1.2.2.2.1,demod:477,7,378,258,279,447] equal(double_divide(X,Y),double_divide(Y,X)).
% 522 [para:494.1.1,7.1.2.1,demod:7] equal(multiply(X,Y),multiply(Y,X)).
% 541 [para:522.1.1,8.1.1.1] -equal(multiply(multiply(b3,a3),c3),multiply(a3,multiply(b3,c3))).
% 653 [para:522.1.1,541.1.2,cut:343] 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***
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% Global statistics over all passes:
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% given clauses: 63
% derived clauses: 2876
% kept clauses: 644
% kept size sum: 11011
% kept mid-nuclei: 0
% kept new demods: 583
% forw unit-subs: 2211
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 6
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.8
% process. runtime: 0.6
% 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/GRP587-1+eq_r.in")
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