TSTP Solution File: SET244-6 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET244-6 : 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 : 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 408.6s
% Output : Assurance 408.6s
% 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/SET244-6+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(114,40,1,228,0,1,378157,4,2119,378849,5,2804,378850,1,2804,378850,50,2810,378850,40,2810,378964,0,2810,402913,3,4213,406623,4,4912,420390,5,5611,420391,5,5611,420392,1,5611,420392,50,5614,420392,40,5614,420506,0,5614,451213,3,6165,455299,4,6440,469250,5,6715,469250,5,6715,469250,1,6715,469250,50,6718,469250,40,6718,469364,0,6718,508310,3,7609,512186,4,7994,518498,5,8433,518499,5,8434,518500,1,8434,518500,50,8437,518500,40,8437,518614,0,8437,566952,3,9289,572347,4,9714,572428,5,10143,572429,5,10144,572429,1,10144,572429,50,10147,572429,40,10147,572543,0,10147,703810,3,14498,707528,4,16673,711007,5,18848,711008,1,18848,711008,50,18851,711008,40,18851,711122,0,18852,768612,3,20253,770066,4,20954,813661,5,21654,813662,1,21654,813662,50,21655,813662,40,21655,813776,0,21655,942907,3,24556,973376,4,26006,1101391,5,27456,1101392,1,27458,1101392,50,27466,1101392,40,27466,1101506,0,27466,1143225,3,28867,1151914,4,29567,1166159,5,30267,1166160,5,30268,1166161,1,30268,1166161,50,30271,1166161,40,30271,1166275,0,30271,1194549,3,30822,1197016,4,31097,1201466,5,31372,1201466,5,31373,1201466,1,31373,1201466,50,31375,1201466,40,31375,1201580,0,31375,1248987,3,32776,1251672,4,33476,1303158,5,34176,1303159,1,34176,1303159,50,34178,1303159,40,34178,1303273,0,34178,1323445,3,35581,1325852,4,36279,1338280,5,36979,1338281,5,36980,1338281,1,36980,1338281,50,36982,1338281,40,36982,1338395,0,36982,1380251,3,38383,1381157,4,39083,1386233,5,39783,1386233,1,39783,1386233,50,39784,1386233,40,39784,1386347,0,39785,1413314,3,40636,1415549,4,41061)
%
%
% START OF PROOF
% 1340852 [?] ?
% 1386235 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 1386236 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 1386237 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 1386238 [] subclass(X,universal_class).
% 1386241 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 1386257 [] member(X,intersection(Y,Z)) | -member(X,Z) | -member(X,Y).
% 1386262 [] equal(intersection(X,cross_product(Y,Z)),restrict(X,Y,Z)).
% 1386347 [] -equal(restrict(universal_class,x,y),cross_product(x,y)).
% 1386396 [binary:1386347,1386241.3,cut:1340852] -subclass(cross_product(x,y),restrict(universal_class,x,y)).
% 1386414 [binary:1386236.2,1386396] member(not_subclass_element(cross_product(x,y),restrict(universal_class,x,y)),cross_product(x,y)).
% 1386416 [binary:1386237.2,1386396] -member(not_subclass_element(cross_product(x,y),restrict(universal_class,x,y)),restrict(universal_class,x,y)).
% 1386486 [binary:1386235,1386414] member(not_subclass_element(cross_product(x,y),restrict(universal_class,x,y)),X) | -subclass(cross_product(x,y),X).
% 1386841 [binary:1386236,1386257.2] member(not_subclass_element(X,Y),intersection(Z,X)) | -member(not_subclass_element(X,Y),Z) | subclass(X,Y).
% 1393483 [binary:1386238,1386486.2] member(not_subclass_element(cross_product(x,y),restrict(universal_class,x,y)),universal_class).
% 1422412 [binary:1393483,1386841.2,demod:1386262,cut:1386416,cut:1386396] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using weight-order strategy
% 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: 17
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 30070
% derived clauses: 2984677
% kept clauses: 626273
% kept size sum: 0
% kept mid-nuclei: 301656
% kept new demods: 1714
% forw unit-subs: 1044064
% forw double-subs: 370556
% forw overdouble-subs: 153896
% backward subs: 3628
% fast unit cutoff: 50656
% full unit cutoff: 8785
% dbl unit cutoff: 1041
% real runtime : 415.33
% process. runtime: 413.56
% specific non-discr-tree subsumption statistics:
% tried: 40380321
% length fails: 1273102
% strength fails: 4722003
% predlist fails: 25676415
% aux str. fails: 862212
% by-lit fails: 710045
% full subs tried: 6758990
% full subs fail: 6603460
%
% ; 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/SET244-6+eq_r.in")
%
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