TSTP Solution File: SET201-6 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET201-6 : 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 79.0s
% Output : Assurance 79.0s
% 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/SET/SET201-6+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(116,40,1,232,0,1,365414,4,2115,366295,5,2803,366296,1,2805,366296,50,2812,366296,40,2812,366412,0,2812,392375,3,4214,396027,4,4914,410448,5,5613,410448,5,5613,410449,1,5613,410449,50,5616,410449,40,5616,410565,0,5616,438728,3,6167,443083,4,6442,448974,5,6717,448975,5,6717,448976,1,6717,448976,50,6720,448976,40,6720,449092,0,6720,481069,3,7578,485315,4,7997,494633,5,8421,494634,5,8422,494634,1,8422,494634,50,8425,494634,40,8425,494750,0,8425)
%
%
% START OF PROOF
% 494636 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 494637 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 494638 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 494639 [] subclass(X,universal_class).
% 494650 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(Y,U).
% 494651 [] member(ordered_pair(X,Y),cross_product(Z,U)) | -member(Y,U) | -member(X,Z).
% 494656 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 494657 [] -member(X,intersection(Y,Z)) | member(X,Z).
% 494658 [] member(X,intersection(Y,Z)) | -member(X,Z) | -member(X,Y).
% 494659 [] -member(X,complement(Y)) | -member(X,Y).
% 494748 [] subclass(x,y).
% 494749 [] subclass(z,w).
% 494750 [] -subclass(intersection(x,z),intersection(y,w)).
% 494751 [binary:494636.2,494748] -member(X,x) | member(X,y).
% 494754 [binary:494636.2,494749] -member(X,z) | member(X,w).
% 494770 [binary:494656.2,494751] -member(X,intersection(x,Y)) | member(X,y).
% 494800 [binary:494636,494754.2] -member(X,z) | -subclass(w,Y) | member(X,Y).
% 494806 [binary:494651.2,494754.2,factor] member(ordered_pair(X,X),cross_product(z,w)) | -member(X,z).
% 494812 [binary:494657.2,494754] -member(X,intersection(Y,z)) | member(X,w).
% 494815 [binary:494658.3,494754.2] member(X,intersection(w,Y)) | -member(X,z) | -member(X,Y).
% 494817 [binary:494659.2,494754.2] -member(X,complement(w)) | -member(X,z).
% 494827 [binary:494637.2,494750] member(not_subclass_element(intersection(x,z),intersection(y,w)),intersection(x,z)).
% 494828 [binary:494638.2,494750] -member(not_subclass_element(intersection(x,z),intersection(y,w)),intersection(y,w)).
% 495416 [binary:494636.3,494817,factor] -subclass(z,complement(w)) | -member(X,z).
% 495963 [binary:494650.2,494770] -member(ordered_pair(X,Y),cross_product(Z,intersection(x,U))) | member(Y,y).
% 496317 [binary:494657.2,495416.2,slowcut:494827] -subclass(z,complement(w)).
% 496321 [binary:494637.2,496317] member(not_subclass_element(z,complement(w)),z).
% 498500 [binary:494639,494800.2] -member(X,z) | member(X,universal_class).
% 498627 [binary:494650.2,498500] -member(ordered_pair(X,Y),cross_product(Z,z)) | member(Y,universal_class).
% 498640 [binary:494659.2,498500.2] -member(X,complement(universal_class)) | -member(X,z).
% 499018 [binary:494636.3,498640,factor:slowcut:496321] -subclass(z,complement(universal_class)).
% 499166 [binary:494637.2,499018] member(not_subclass_element(z,complement(universal_class)),z).
% 499214 [binary:496321,494806.2] member(ordered_pair(not_subclass_element(z,complement(w)),not_subclass_element(z,complement(w))),cross_product(z,w)).
% 499240 [binary:494651.2,499166,binarydemod:498627,slowcut:499214] member(not_subclass_element(z,complement(universal_class)),universal_class).
% 500391 [binary:499240,494815.3,cut:499166] member(not_subclass_element(z,complement(universal_class)),intersection(w,universal_class)).
% 501334 [binary:494651.2,494827,binarydemod:495963,slowcut:500391] member(not_subclass_element(intersection(x,z),intersection(y,w)),y).
% 501366 [binary:494812,494827] member(not_subclass_element(intersection(x,z),intersection(y,w)),w).
% 501635 [binary:494658,494828,cut:501366,cut:501334] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using sos strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 17
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 5472
% derived clauses: 784970
% kept clauses: 179729
% kept size sum: 81465
% kept mid-nuclei: 37938
% kept new demods: 291
% forw unit-subs: 222265
% forw double-subs: 43174
% forw overdouble-subs: 5763
% backward subs: 207
% fast unit cutoff: 2866
% full unit cutoff: 265
% dbl unit cutoff: 643
% real runtime : 85.84
% process. runtime: 84.75
% specific non-discr-tree subsumption statistics:
% tried: 213305
% length fails: 15616
% strength fails: 24011
% predlist fails: 124399
% aux str. fails: 2659
% by-lit fails: 758
% full subs tried: 42792
% full subs fail: 37150
%
% ; 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/SET201-6+eq_r.in")
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