TSTP Solution File: SET071-7 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET071-7 : 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 : 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/SET071-7+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(116,40,0,232,0,1,472605,4,2118,474391,5,2803,474391,1,2803,474391,50,2810,474391,40,2810,474507,0,2810)
%
%
% START OF PROOF
% 474393 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 474394 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 474396 [] subclass(X,universal_class).
% 474399 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 474400 [] -member(X,unordered_pair(Y,Z)) | equal(X,Y) | equal(X,Z).
% 474496 [] subclass(null_class,X).
% 474504 [] equal(unordered_pair(X,Y),singleton(Y)) | member(X,universal_class).
% 474505 [] -equal(unordered_pair(x,y),null_class).
% 474506 [] -member(x,universal_class).
% 474507 [] -member(y,universal_class).
% 474518 [binary:474506,474393.3,cut:474396] -member(x,X).
% 474519 [binary:474507,474393.3,cut:474396] -member(y,X).
% 474540 [binary:474505,474399.3,cut:474496] -subclass(unordered_pair(x,y),null_class).
% 474546 [binary:474394.2,474540] member(not_subclass_element(unordered_pair(x,y),null_class),unordered_pair(x,y)).
% 474557 [binary:474546,474400] equal(not_subclass_element(unordered_pair(x,y),null_class),x) | equal(not_subclass_element(unordered_pair(x,y),null_class),y).
% 477669 [binary:474518,474504.2] equal(unordered_pair(x,X),singleton(X)).
% 477670 [binary:474519,474504.2] equal(unordered_pair(y,X),singleton(X)).
% 478998 [para:474557.1.1,474546.1.1,demod:477669,cut:474518] equal(not_subclass_element(singleton(y),null_class),y).
% 478999 [para:474557.2.1,474546.1.1,demod:478998,477669,cut:474519] equal(y,x).
% 479002 [para:478999.1.2,474546.1.1.1.1,demod:477669,478998,477670,cut:474519] 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: 1260
% derived clauses: 579723
% kept clauses: 81634
% kept size sum: 40323
% kept mid-nuclei: 8609
% kept new demods: 163
% forw unit-subs: 88166
% forw double-subs: 11217
% forw overdouble-subs: 1850
% backward subs: 13
% fast unit cutoff: 504
% full unit cutoff: 283
% dbl unit cutoff: 331
% real runtime : 28.51
% process. runtime: 28.51
% specific non-discr-tree subsumption statistics:
% tried: 23385
% length fails: 263
% strength fails: 1892
% predlist fails: 11695
% aux str. fails: 887
% by-lit fails: 407
% full subs tried: 8071
% full subs fail: 6286
%
% ; 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/SET071-7+eq_r.in")
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