TSTP Solution File: GRP171-2 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : GRP171-2 : 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 : art02.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/GRP171-2+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
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% detected problem class: ueq
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% 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 *********
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%
% timer checkpoints: c(19,40,0,38,0,0)
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%
% START OF PROOF
% 20 [] equal(X,X).
% 21 [] equal(multiply(identity,X),X).
% 26 [] equal(greatest_lower_bound(X,greatest_lower_bound(Y,Z)),greatest_lower_bound(greatest_lower_bound(X,Y),Z)).
% 31 [] equal(greatest_lower_bound(X,least_upper_bound(X,Y)),X).
% 34 [] equal(multiply(least_upper_bound(X,Y),Z),least_upper_bound(multiply(X,Z),multiply(Y,Z))).
% 36 [] equal(least_upper_bound(identity,a),a).
% 37 [] equal(least_upper_bound(identity,b),b).
% 38 [] -equal(greatest_lower_bound(identity,multiply(a,b)),identity).
% 45 [para:37.1.1,31.1.1.2] equal(greatest_lower_bound(identity,b),identity).
% 61 [para:45.1.1,26.1.2.1] equal(greatest_lower_bound(identity,greatest_lower_bound(b,X)),greatest_lower_bound(identity,X)).
% 92 [para:21.1.1,34.1.2.1] equal(multiply(least_upper_bound(identity,X),Y),least_upper_bound(Y,multiply(X,Y))).
% 97 [para:31.1.1,61.1.1.2,demod:45] equal(identity,greatest_lower_bound(identity,least_upper_bound(b,X))).
% 168 [para:36.1.1,92.1.1.1] equal(multiply(a,X),least_upper_bound(X,multiply(a,X))).
% 179 [para:168.1.2,97.1.2.2] equal(identity,greatest_lower_bound(identity,multiply(a,b))).
% 194 [para:179.1.2,38.1.1,cut:20] contradiction
% END OF PROOF
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% Proof found by the following strategy:
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% 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 3
% seconds given: 60
%
%
% ***GANDALF_FOUND_A_REFUTATION***
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% Global statistics over all passes:
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% given clauses: 109
% derived clauses: 6114
% kept clauses: 155
% kept size sum: 1511
% kept mid-nuclei: 0
% kept new demods: 141
% forw unit-subs: 3873
% 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 : 0.5
% process. runtime: 0.5
% 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/GRP171-2+eq_r.in")
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