TSTP Solution File: SET009-1 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : SET009-1 : TPTP v3.4.2. Released v1.0.0.
% 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 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/SET/SET009-1+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: medium
%
% strategies selected:
% (hyper 27 #f 2 7)
% (binary-unit 10 #f 2 7)
% (binary-double 16 #f 2 7)
% (binary 54 #t 2 7)
% (binary-order 27 #f 2 7)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
%
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(16,40,1,32,0,1)
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%
% START OF PROOF
% 17 [] -subset(X,Y) | -member(Z,X) | member(Z,Y).
% 18 [] member(member_of_1_not_of_2(X,Y),X) | subset(X,Y).
% 19 [] -member(member_of_1_not_of_2(X,Y),Y) | subset(X,Y).
% 23 [] -difference(X,Y,Z) | -member(U,Z) | member(U,X).
% 24 [] -difference(X,Y,Z) | -member(U,Z) | -member(U,Y).
% 25 [] -difference(X,Y,Z) | -member(U,X) | member(U,Z) | member(U,Y).
% 29 [] subset(d,a).
% 30 [] difference(b,a,b^da).
% 31 [] difference(b,d,b^dd).
% 32 [] -subset(b^da,b^dd).
% 48 [hyper:32,18] member(member_of_1_not_of_2(b^da,b^dd),b^da).
% 79 [hyper:23,48,30] member(member_of_1_not_of_2(b^da,b^dd),b).
% 102 [hyper:25,79,31] member(member_of_1_not_of_2(b^da,b^dd),d) | member(member_of_1_not_of_2(b^da,b^dd),b^dd).
% 5360 [hyper:19,102,cut:32] member(member_of_1_not_of_2(b^da,b^dd),d).
% 5523 [hyper:17,5360,29] member(member_of_1_not_of_2(b^da,b^dd),a).
% 5662 [hyper:24,5523,48,slowcut:30] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 7
% clause depth limited to 2
% seconds given: 27
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 81
% derived clauses: 17471
% kept clauses: 1544
% kept size sum: 24833
% kept mid-nuclei: 3510
% kept new demods: 0
% forw unit-subs: 2464
% forw double-subs: 4807
% forw overdouble-subs: 4921
% backward subs: 7
% fast unit cutoff: 257
% full unit cutoff: 21
% dbl unit cutoff: 39
% real runtime : 0.45
% process. runtime: 0.45
% specific non-discr-tree subsumption statistics:
% tried: 157154
% length fails: 33872
% strength fails: 70543
% predlist fails: 20196
% aux str. fails: 596
% by-lit fails: 311
% full subs tried: 30727
% full subs fail: 25998
%
% ; 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/SET009-1+noeq.in")
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