%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET253-6 : 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 19.9s
% Output : Assurance 19.9s
% 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/SET253-6+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(114,40,1,228,0,1,376292,4,2132,376979,5,2804,376980,1,2807,376980,50,2813,376980,40,2813,377094,0,2813)
%
%
% START OF PROOF
% 376983 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 376984 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 377002 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 377010 [] equal(intersection(cross_product(X,Y),Z),restrict(Z,X,Y)).
% 377094 [] -subclass(restrict(x,y,z),cross_product(y,z)).
% 377117 [binary:377094,376983.2] member(not_subclass_element(restrict(x,y,z),cross_product(y,z)),restrict(x,y,z)).
% 377125 [binary:377094,376984.2] -member(not_subclass_element(restrict(x,y,z),cross_product(y,z)),cross_product(y,z)).
% 377346 [binary:377125,377002.2,demod:377010,slowcut:377117] 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: 745
% derived clauses: 501069
% kept clauses: 77255
% kept size sum: 2009
% kept mid-nuclei: 8487
% kept new demods: 80
% forw unit-subs: 84890
% forw double-subs: 10176
% forw overdouble-subs: 321
% backward subs: 10
% fast unit cutoff: 72
% full unit cutoff: 0
% dbl unit cutoff: 24
% real runtime : 28.67
% process. runtime: 28.13
% specific non-discr-tree subsumption statistics:
% tried: 3460
% length fails: 4
% strength fails: 19
% predlist fails: 2493
% aux str. fails: 10
% by-lit fails: 2
% full subs tried: 922
% full subs fail: 606
%
% ; 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/SET253-6+eq_r.in")
%
%------------------------------------------------------------------------------