TSTP Solution File: SET454-6 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : SET454-6 : 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 : 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 39.5s
% Output : Assurance 39.5s
% 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/SET454-6+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
%
% 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(114,40,0,228,0,0,381874,4,2119,387885,5,2802,387886,1,2802,387886,50,2811,387886,40,2811,388000,0,2811)
%
%
% START OF PROOF
% 387889 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 387890 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 387908 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 387909 [] -member(X,intersection(Y,Z)) | member(X,Z).
% 387916 [] equal(intersection(cross_product(X,Y),Z),restrict(Z,X,Y)).
% 387961 [] equal(restrict(restrict(complement(compose(complement(element_relation),inverse(element_relation))),universal_class,universal_class),universal_class,universal_class),subset_relation).
% 387962 [] equal(intersection(inverse(subset_relation),subset_relation),identity_relation).
% 388000 [] -subclass(identity_relation,cross_product(universal_class,universal_class)).
% 388023 [binary:388000,387889.2] member(not_subclass_element(identity_relation,cross_product(universal_class,universal_class)),identity_relation).
% 388031 [binary:388000,387890.2] -member(not_subclass_element(identity_relation,cross_product(universal_class,universal_class)),cross_product(universal_class,universal_class)).
% 388276 [binary:388031,387908.2,demod:387916] -member(not_subclass_element(identity_relation,cross_product(universal_class,universal_class)),restrict(X,universal_class,universal_class)).
% 388294 [para:387962.1.1,387909.1.2] -member(X,identity_relation) | member(X,subset_relation).
% 388577 [binary:388023,388294] member(not_subclass_element(identity_relation,cross_product(universal_class,universal_class)),subset_relation).
% 411617 [para:387961.1.1,388276.1.2,cut:388577] 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: 2000
% derived clauses: 551116
% kept clauses: 100340
% kept size sum: 262968
% kept mid-nuclei: 8523
% kept new demods: 123
% forw unit-subs: 97580
% forw double-subs: 11921
% forw overdouble-subs: 373
% backward subs: 34
% fast unit cutoff: 291
% full unit cutoff: 0
% dbl unit cutoff: 48
% real runtime : 42.0
% process. runtime: 41.50
% specific non-discr-tree subsumption statistics:
% tried: 19298
% length fails: 1468
% strength fails: 24
% predlist fails: 12468
% aux str. fails: 197
% by-lit fails: 2
% full subs tried: 5097
% full subs fail: 4729
%
% ; 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/SET454-6+eq_r.in")
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