TSTP Solution File: GRP166-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP166-1 : TPTP v3.4.2. Bugfixed v1.2.1.
% 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 0.0s
% Output : Assurance 0.0s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----NO SOLUTION OUTPUT BY SYSTEM
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%----ORIGINAL SYSTEM OUTPUT
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% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/GRP/GRP166-1+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 3 1)
% (binary-posweight-lex-big-order 30 #f 3 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(19,40,0,38,0,0,283,50,26,302,0,26)
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%
% START OF PROOF
% 284 [] equal(X,X).
% 285 [] equal(multiply(identity,X),X).
% 286 [] equal(multiply(inverse(X),X),identity).
% 287 [] equal(multiply(multiply(X,Y),Z),multiply(X,multiply(Y,Z))).
% 289 [] equal(least_upper_bound(X,Y),least_upper_bound(Y,X)).
% 296 [] equal(multiply(X,least_upper_bound(Y,Z)),least_upper_bound(multiply(X,Y),multiply(X,Z))).
% 301 [] equal(least_upper_bound(b,identity),b).
% 302 [] -equal(least_upper_bound(a,multiply(a,b)),multiply(a,b)).
% 304 [para:289.1.1,301.1.1] equal(least_upper_bound(identity,b),b).
% 314 [para:286.1.1,287.1.1.1,demod:285] equal(X,multiply(inverse(Y),multiply(Y,X))).
% 337 [para:286.1.1,314.1.2.2] equal(X,multiply(inverse(inverse(X)),identity)).
% 339 [para:314.1.2,314.1.2.2] equal(multiply(X,Y),multiply(inverse(inverse(X)),Y)).
% 377 [para:337.1.2,296.1.2.1,demod:339] equal(multiply(X,least_upper_bound(identity,Y)),least_upper_bound(X,multiply(X,Y))).
% 1213 [para:377.1.2,302.1.1,demod:304,cut:284] 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 4
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
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% given clauses: 450
% derived clauses: 46621
% kept clauses: 1155
% kept size sum: 13980
% kept mid-nuclei: 0
% kept new demods: 969
% forw unit-subs: 29773
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 1
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.42
% process. runtime: 0.41
% 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/GRP166-1+eq_r.in")
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