TSTP Solution File: SET081-7 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : SET081-7 : 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 : 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 :
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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/SET081-7+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
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% detected problem class: neq
% detected subclass: big
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% 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 *********
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%
% timer checkpoints: c(127,40,1,254,0,1)
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%
% START OF PROOF
% 136 [] -member(X,unordered_pair(Y,Z)) | equal(X,Y) | equal(X,Z).
% 140 [] equal(unordered_pair(X,X),singleton(X)).
% 253 [] member(y,singleton(x)).
% 254 [] -equal(y,x).
% 2527 [para:140.1.2,253.1.2] member(y,unordered_pair(x,x)).
% 2586 [hyper:136,2527,cut:254] contradiction
% END OF PROOF
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% Proof found by the following strategy:
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% 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 9
% clause depth limited to 6
% seconds given: 28
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%
% ***GANDALF_FOUND_A_REFUTATION***
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% Global statistics over all passes:
%
% given clauses: 65
% derived clauses: 2869
% kept clauses: 1830
% kept size sum: 18012
% kept mid-nuclei: 487
% kept new demods: 18
% forw unit-subs: 459
% forw double-subs: 63
% forw overdouble-subs: 11
% backward subs: 0
% fast unit cutoff: 12
% full unit cutoff: 0
% dbl unit cutoff: 0
% real runtime : 0.6
% process. runtime: 0.5
% specific non-discr-tree subsumption statistics:
% tried: 23
% length fails: 0
% strength fails: 2
% predlist fails: 5
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 16
% full subs fail: 5
%
% ; 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/SET081-7+eq_r.in")
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