TSTP Solution File: SET108-7 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : SET108-7 : TPTP v3.4.2. Bugfixed v2.1.0.
% Transfm : add_equality:r
% Format : otter:hypothesis:set(auto),clear(print_given)
% Command : gandalf-wrapper -time %d %s
% Computer : art06.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 20.0s
% Output : Assurance 20.0s
% 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/SET/SET108-7+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: neq
% detected subclass: big
%
% strategies selected:
% (hyper 28 #f 6 9)
% (binary-unit 28 #f 6 9)
% (binary-double 11 #f 6 9)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 6 9)
% (binary-order 28 #f 6 9)
% (binary-posweight-order 58 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order-sos 28 #t)
% (binary-unit-uniteq 28 #f)
% (binary-weightorder 28 #f)
% (binary-weightorder-sos 17 #f)
% (binary-order 28 #f)
% (hyper-order 17 #f)
% (binary 141 #t)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(155,40,1,310,0,1,404895,4,2108,523944,5,2803,523945,1,2803,523945,50,2809,523945,40,2809,524100,0,2809)
%
%
% START OF PROOF
% 523963 [] equal(ordered_pair(first(X),second(X)),X) | -member(X,cross_product(Y,Z)).
% 524099 [] member(ordered_pair(y,z),cross_product(universal_class,universal_class)).
% 524100 [] -member(ordered_pair(first(ordered_pair(y,z)),second(ordered_pair(y,z))),cross_product(universal_class,universal_class)).
% 524304 [para:523963.1.1,524100.1.1,cut:524099,slowcut:524099] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using unit 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 9
% clause depth limited to 6
% seconds given: 28
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 807
% derived clauses: 749099
% kept clauses: 77256
% kept size sum: 1674
% kept mid-nuclei: 132000
% kept new demods: 562
% forw unit-subs: 194858
% forw double-subs: 18291
% forw overdouble-subs: 4604
% backward subs: 8
% fast unit cutoff: 1074
% full unit cutoff: 125
% dbl unit cutoff: 26
% real runtime : 28.12
% process. runtime: 28.10
% specific non-discr-tree subsumption statistics:
% tried: 120300
% length fails: 22909
% strength fails: 6648
% predlist fails: 9729
% aux str. fails: 12378
% by-lit fails: 4155
% full subs tried: 41138
% full subs fail: 36793
%
% ; 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/SET/SET108-7+eq_r.in")
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