TSTP Solution File: SET386-6 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET386-6 : 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 : art03.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 40.0s
% Output : Assurance 40.0s
% 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
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/SET/SET386-6+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(115,40,2,230,0,2,369717,4,2122,375983,5,2805,375984,1,2808,375984,50,2814,375984,40,2814,376099,0,2815)
%
%
% START OF PROOF
% 375987 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 375988 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 376006 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 376014 [] equal(intersection(cross_product(X,Y),Z),restrict(Z,X,Y)).
% 376098 [] equal(restrict(x,universal_class,universal_class),x).
% 376099 [] -subclass(x,cross_product(universal_class,universal_class)).
% 376121 [binary:376099,375987.2] member(not_subclass_element(x,cross_product(universal_class,universal_class)),x).
% 376128 [binary:376099,375988.2] -member(not_subclass_element(x,cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)).
% 376373 [binary:376128,376006.2,demod:376014] -member(not_subclass_element(x,cross_product(universal_class,universal_class)),restrict(X,universal_class,universal_class)).
% 397208 [para:376098.1.1,376373.1.2,cut:376121] 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: 1990
% derived clauses: 529890
% kept clauses: 97832
% kept size sum: 233430
% kept mid-nuclei: 8494
% kept new demods: 127
% forw unit-subs: 98161
% forw double-subs: 11874
% forw overdouble-subs: 385
% backward subs: 29
% fast unit cutoff: 292
% full unit cutoff: 15
% dbl unit cutoff: 96
% real runtime : 40.4
% process. runtime: 40.3
% specific non-discr-tree subsumption statistics:
% tried: 20060
% length fails: 1464
% strength fails: 24
% predlist fails: 12998
% aux str. fails: 202
% by-lit fails: 8
% full subs tried: 5322
% full subs fail: 4942
%
% ; 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/SET386-6+eq_r.in")
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