%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : NUM181-1 : 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 289.2s
% Output : Assurance 289.2s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----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/NUM/NUM181-1+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(160,40,0,320,0,0,354886,4,2115,355712,5,2802,355713,1,2804,355713,50,2811,355713,40,2811,355873,0,2828,383305,3,4230,386252,4,4930,402700,5,5629,402700,5,5629,402701,1,5629,402701,50,5632,402701,40,5632,402861,0,5632,433967,3,6184,437291,4,6462,448973,5,6733,448975,5,6733,448976,1,6733,448976,50,6736,448976,40,6736,449136,0,6736,480544,3,7607,483954,4,8013,493085,5,8437,493086,5,8438,493086,1,8438,493086,50,8440,493086,40,8440,493246,0,8440,532706,3,9293,536748,4,9716,545067,5,10141,545068,5,10142,545069,1,10142,545069,50,10144,545069,40,10144,545229,0,10144,629989,3,14499,634486,4,16670,684338,5,18845,684339,5,18847,684339,1,18847,684339,50,18852,684339,40,18852,684499,0,18852,728948,3,20253,730350,4,20953,773413,1,21653,773413,50,21654,773413,40,21654,773573,0,21654,907632,3,24555,938600,4,26005,1043607,5,27483,1043609,1,27485,1043609,50,27492,1043609,40,27492,1043769,0,27526,1110395,3,28933,1121663,4,29627)
%
%
% START OF PROOF
% 1043611 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 1043614 [] subclass(X,universal_class).
% 1043619 [] member(X,unordered_pair(X,Y)) | -member(X,universal_class).
% 1043631 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 1043634 [] -member(X,complement(Y)) | -member(X,Y).
% 1043635 [] member(X,complement(Y)) | -member(X,universal_class) | member(X,Y).
% 1043748 [] equal(complement(intersection(complement(unordered_pair(null_class,null_class)),complement(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class))))))),kind_1_ordinals).
% 1043749 [] equal(intersection(complement(kind_1_ordinals),ordinal_numbers),limit_ordinals).
% 1043769 [] member(null_class,limit_ordinals).
% 1043775 [binary:1043769,1043611] -subclass(limit_ordinals,X) | member(null_class,X).
% 1043781 [binary:1043614,1043775] member(null_class,universal_class).
% 1043828 [binary:1043781,1043619.2] member(null_class,unordered_pair(null_class,X)).
% 1044025 [para:1043749.1.1,1043631.1.2] member(X,complement(kind_1_ordinals)) | -member(X,limit_ordinals).
% 1044053 [binary:1043769,1044025.2] member(null_class,complement(kind_1_ordinals)).
% 1044068 [binary:1043634,1044053] -member(null_class,kind_1_ordinals).
% 1044156 [binary:1043781,1043635.2] member(null_class,complement(X)) | member(null_class,X).
% 1044286 [binary:1043634,1044156.2] member(null_class,complement(complement(X))) | -member(null_class,X).
% 1046276 [binary:1043828,1044286.2] member(null_class,complement(complement(unordered_pair(null_class,X)))).
% 1046558 [binary:1043634,1046276] -member(null_class,complement(unordered_pair(null_class,X))).
% 1047860 [para:1043748.1.1,1044156.1.2,cut:1044068] member(null_class,intersection(complement(unordered_pair(null_class,null_class)),complement(domain_of(domain_of(flip(cross_product(intersection(successor_relation,cross_product(ordinal_numbers,universal_class)),universal_class))))))).
% 1131899 [binary:1047860,1043631,cut:1046558] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using first neg lit preferred strategy
% not using sos strategy
% using unit paramodulation strategy
% using unit strategy
% using dynamic demodulation
% using ordered paramodulation
% using lex ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 28
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 19554
% derived clauses: 2421373
% kept clauses: 472100
% kept size sum: 0
% kept mid-nuclei: 284420
% kept new demods: 1234
% forw unit-subs: 960745
% forw double-subs: 258911
% forw overdouble-subs: 75391
% backward subs: 2210
% fast unit cutoff: 33796
% full unit cutoff: 7183
% dbl unit cutoff: 1003
% real runtime : 298.39
% process. runtime: 297.31
% specific non-discr-tree subsumption statistics:
% tried: 5838615
% length fails: 99083
% strength fails: 1220092
% predlist fails: 2333436
% aux str. fails: 357660
% by-lit fails: 533165
% full subs tried: 912310
% full subs fail: 836626
%
% ; 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/NUM/NUM181-1+eq_r.in")
%
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