TSTP Solution File: GRP498-1 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : GRP498-1 : 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 : 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
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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/GRP498-1+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 5 1)
% (binary-posweight-lex-big-order 30 #f 5 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 *********
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%
% timer checkpoints: c(6,40,0,12,0,0)
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%
% START OF PROOF
% 7 [] equal(X,X).
% 8 [] equal(double_divide(double_divide(identity,double_divide(X,double_divide(Y,identity))),double_divide(double_divide(Y,double_divide(Z,X)),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)).
% 17 [para:14.1.2,11.1.2.2] equal(identity,double_divide(inverse(X),multiply(identity,X))).
% 20 [para:13.1.1,11.1.2.2] equal(identity,double_divide(double_divide(X,Y),multiply(Y,X))).
% 25 [para:10.1.2,8.1.1.1.2.2,demod:9] equal(double_divide(double_divide(identity,double_divide(X,inverse(Y))),multiply(double_divide(Z,X),Y)),Z).
% 26 [para:10.1.2,8.1.1.2.1.2,demod:9,10] equal(double_divide(double_divide(identity,double_divide(identity,inverse(X))),multiply(inverse(Y),X)),Y).
% 27 [para:11.1.2,8.1.1.2.1.2,demod:14,10] equal(double_divide(double_divide(identity,double_divide(inverse(X),inverse(Y))),multiply(identity,Y)),X).
% 28 [para:8.1.1,9.1.2.1,demod:10,9] equal(multiply(multiply(double_divide(X,Y),Z),double_divide(identity,double_divide(Y,inverse(Z)))),inverse(X)).
% 30 [para:9.1.2,8.1.1.2.1.2,demod:9,10] equal(double_divide(double_divide(identity,double_divide(identity,inverse(X))),multiply(multiply(Y,Z),X)),double_divide(Z,Y)).
% 31 [para:17.1.2,8.1.1.2.1.2,demod:14,10] equal(double_divide(double_divide(identity,double_divide(multiply(identity,X),inverse(Y))),multiply(identity,Y)),inverse(X)).
% 32 [para:20.1.2,8.1.1.2.1.2,demod:14,10] equal(double_divide(double_divide(identity,double_divide(multiply(X,Y),inverse(Z))),multiply(identity,Z)),double_divide(Y,X)).
% 37 [para:11.1.2,26.1.1.1.2,demod:10] equal(double_divide(inverse(identity),multiply(inverse(X),identity)),X).
% 39 [para:14.1.2,26.1.1.1.2.2] equal(double_divide(double_divide(identity,double_divide(identity,multiply(identity,X))),multiply(inverse(Y),inverse(X))),Y).
% 44 [para:15.1.1,37.1.1.2] equal(double_divide(inverse(identity),inverse(identity)),identity).
% 47 [para:44.1.1,8.1.1.2.1.2,demod:27,14,10] equal(identity,inverse(identity)).
% 49 [para:47.1.2,14.1.2.1,demod:47] equal(multiply(identity,identity),identity).
% 50 [para:47.1.2,26.1.1.1.2.2,demod:47,10] equal(double_divide(identity,multiply(inverse(X),identity)),X).
% 52 [para:11.1.2,25.1.1.1.2,demod:47,10] equal(double_divide(identity,multiply(double_divide(X,Y),Y)),X).
% 55 [para:50.1.1,9.1.2.1,demod:10] equal(multiply(multiply(inverse(X),identity),identity),inverse(X)).
% 58 [para:11.1.2,52.1.1.2.1] equal(double_divide(identity,multiply(identity,inverse(X))),X).
% 70 [para:47.1.2,27.1.1.1.2.2,demod:9,49,14,10] equal(multiply(multiply(identity,X),identity),X).
% 71 [para:27.1.1,52.1.1.2.1] equal(double_divide(identity,multiply(X,multiply(identity,Y))),double_divide(identity,double_divide(inverse(X),inverse(Y)))).
% 75 [para:14.1.2,55.1.1.1.1,demod:14,70] equal(multiply(X,identity),multiply(identity,X)).
% 77 [para:75.1.2,17.1.2.2] equal(identity,double_divide(inverse(X),multiply(X,identity))).
% 110 [para:77.1.2,8.1.1.2.1.2,demod:32,14,10] equal(double_divide(identity,X),inverse(X)).
% 137 [para:110.1.1,52.1.1] equal(inverse(multiply(double_divide(X,Y),Y)),X).
% 155 [para:137.1.1,14.1.2.1] equal(multiply(identity,multiply(double_divide(X,Y),Y)),inverse(X)).
% 163 [para:137.1.1,27.1.1.1.2.2,demod:155,13,110] equal(double_divide(multiply(X,inverse(Y)),inverse(X)),Y).
% 190 [para:47.1.2,163.1.1.1.2] equal(double_divide(multiply(X,identity),inverse(X)),identity).
% 200 [para:190.1.1,52.1.1.2.1,demod:58] equal(X,multiply(X,identity)).
% 202 [?] ?
% 203 [para:190.1.1,137.1.1.1.1,demod:200,14,202] equal(multiply(identity,X),X).
% 206 [para:200.1.2,25.1.1.2,demod:203,14,110,10,47] equal(double_divide(X,double_divide(Y,X)),Y).
% 207 [para:200.1.2,28.1.1.1,demod:203,14,110,10,47] equal(multiply(double_divide(X,Y),Y),inverse(X)).
% 209 [para:200.1.2,30.1.1.2,demod:110,47] equal(inverse(multiply(X,Y)),double_divide(Y,X)).
% 211 [para:203.1.1,27.1.1.2,demod:209,110,203,71] equal(double_divide(double_divide(X,Y),X),Y).
% 227 [para:31.1.1,206.1.1.2,demod:13,110,203] equal(double_divide(X,inverse(Y)),multiply(inverse(X),Y)).
% 237 [para:30.1.1,211.1.1.1,demod:203,14,110] equal(double_divide(double_divide(X,Y),inverse(Z)),multiply(multiply(Y,X),Z)).
% 265 [para:39.1.1,8.1.1.2.1.2,demod:9,209,110,237,10,203,14,227] equal(double_divide(double_divide(X,multiply(Y,Z)),multiply(Z,X)),Y).
% 300 [para:265.1.1,207.1.1.1,demod:13] equal(multiply(X,multiply(Y,Z)),multiply(multiply(X,Y),Z)).
% 325 [para:300.1.2,12.1.1,cut:7] 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 5
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 132
% derived clauses: 7774
% kept clauses: 312
% kept size sum: 3829
% kept mid-nuclei: 0
% kept new demods: 311
% forw unit-subs: 7391
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 5
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.11
% process. runtime: 0.10
% 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/GRP498-1+eq_r.in")
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