TSTP Solution File: SET382-6 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET382-6 : 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 : art04.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 347.3s
% Output : Assurance 347.3s
% 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/SET382-6+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(115,40,2,230,0,2,360463,4,2110,361399,5,2805,361400,1,2805,361400,50,2811,361400,40,2811,361515,0,2811,385856,3,4212,389668,4,4914,403904,5,5612,403905,5,5612,403906,1,5612,403906,50,5615,403906,40,5615,404021,0,5615,434701,3,6166,438912,4,6441,451375,5,6716,451375,5,6717,451375,1,6717,451375,50,6719,451375,40,6719,451490,0,6719,482093,3,7579,485769,4,7996,495000,5,8420,495002,5,8420,495002,1,8420,495002,50,8423,495002,40,8423,495117,0,8423,530519,3,9274,536758,4,9699,543360,5,10124,543361,5,10125,543362,1,10125,543362,50,10127,543362,40,10127,543477,0,10127,668796,3,14479,682851,4,16654,699399,5,18835,699400,1,18837,699400,50,18841,699400,40,18841,699515,0,18841,755837,3,20242,757324,4,20943,792891,5,21642,792891,1,21642,792891,50,21644,792891,40,21644,793006,0,21644,914979,3,24547,945711,4,25996,1050141,5,27479,1050143,1,27482,1050143,50,27490,1050143,40,27490,1050258,0,27490,1088223,3,28898,1095005,4,29591,1108560,5,30297,1108562,1,30298,1108562,50,30301,1108562,40,30301,1108677,0,30301,1142850,3,30852,1149721,4,31127,1156691,5,31404,1156692,5,31405,1156692,1,31405,1156692,50,31407,1156692,40,31407,1156807,0,31407,1214137,3,32809,1215685,4,33509,1252466,63,34208,1252466,1,34208,1252466,50,34209,1252466,40,34209,1252581,0,34209)
%
%
% START OF PROOF
% 1207128 [?] ?
% 1252468 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 1252469 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 1252470 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 1252474 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 1252490 [] member(X,intersection(Y,Z)) | -member(X,Z) | -member(X,Y).
% 1252496 [] equal(intersection(cross_product(X,Y),Z),restrict(Z,X,Y)).
% 1252580 [] subclass(x,cross_product(universal_class,universal_class)).
% 1252581 [] -equal(restrict(x,universal_class,universal_class),x).
% 1252595 [binary:1252580,1252468.2] member(X,cross_product(universal_class,universal_class)) | -member(X,x).
% 1252621 [binary:1252581,1252474.3,cut:1207128] -subclass(x,restrict(x,universal_class,universal_class)).
% 1252630 [binary:1252469.2,1252621] member(not_subclass_element(x,restrict(x,universal_class,universal_class)),x).
% 1252632 [binary:1252470.2,1252621] -member(not_subclass_element(x,restrict(x,universal_class,universal_class)),restrict(x,universal_class,universal_class)).
% 1252676 [binary:1252595.2,1252630] member(not_subclass_element(x,restrict(x,universal_class,universal_class)),cross_product(universal_class,universal_class)).
% 1252880 [binary:1252630,1252490.2] member(not_subclass_element(x,restrict(x,universal_class,universal_class)),intersection(X,x)) | -member(not_subclass_element(x,restrict(x,universal_class,universal_class)),X).
% 1271117 [binary:1252676,1252880.2,demod:1252496,cut:1252632] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using unit paramodulation strategy
% using unit strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 28
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 22811
% derived clauses: 2936859
% kept clauses: 546998
% kept size sum: 832248
% kept mid-nuclei: 258535
% kept new demods: 977
% forw unit-subs: 1049314
% forw double-subs: 463996
% forw overdouble-subs: 141893
% backward subs: 3227
% fast unit cutoff: 54455
% full unit cutoff: 7819
% dbl unit cutoff: 1399
% real runtime : 357.7
% process. runtime: 354.6
% specific non-discr-tree subsumption statistics:
% tried: 16812804
% length fails: 646984
% strength fails: 2962242
% predlist fails: 10073335
% aux str. fails: 267637
% by-lit fails: 284051
% full subs tried: 2434562
% full subs fail: 2297513
%
% ; 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/SET382-6+eq_r.in")
%
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