TSTP Solution File: SET023-3 by Gandalf---c-2.6
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- Process Solution
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% File : Gandalf---c-2.6
% Problem : SET023-3 : 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 : art01.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/SET023-3+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 4 15)
% (binary-unit 28 #f 4 15)
% (binary-double 11 #f 4 15)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 4 15)
% (binary-order 28 #f 4 15)
% (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(151,40,1,302,0,1,343270,4,2102)
%
%
% START OF PROOF
% 163 [] little_set(f2(X)) | -ordered_pair_predicate(X).
% 164 [] little_set(f3(X)) | -ordered_pair_predicate(X).
% 165 [] equal(X,ordered_pair(f2(X),f3(X))) | -ordered_pair_predicate(X).
% 299 [] equal(second(ordered_pair(X,Y)),Y) | -little_set(Y) | -little_set(X).
% 301 [] ordered_pair_predicate(a).
% 302 [] -little_set(second(a)).
% 303 [hyper:163,301] little_set(f2(a)).
% 304 [hyper:164,301] little_set(f3(a)).
% 305 [hyper:165,301] equal(a,ordered_pair(f2(a),f3(a))).
% 543 [hyper:299,304,303,demod:305] equal(second(a),f3(a)).
% 360433 [para:543.1.1,302.1.1,cut:304] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 15
% clause depth limited to 4
% seconds given: 28
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 119
% derived clauses: 784652
% kept clauses: 75035
% kept size sum: 0
% kept mid-nuclei: 48408
% kept new demods: 380
% forw unit-subs: 8165
% forw double-subs: 14007
% forw overdouble-subs: 36045
% backward subs: 0
% fast unit cutoff: 890
% full unit cutoff: 1010
% dbl unit cutoff: 5
% real runtime : 21.73
% process. runtime: 21.73
% specific non-discr-tree subsumption statistics:
% tried: 1463354
% length fails: 8527
% strength fails: 118490
% predlist fails: 336411
% aux str. fails: 56614
% by-lit fails: 51541
% full subs tried: 868401
% full subs fail: 833890
%
% ; 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/SET023-3+eq_r.in")
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