TSTP Solution File: SET215-6 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET215-6 : 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 : art08.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 427.0s
% Output : Assurance 427.0s
% 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/SET215-6+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(114,40,0,228,0,1,322270,4,2104,322956,5,2803,322957,1,2806,322957,50,2812,322957,40,2812,323071,0,2813,349360,3,4214,353328,4,4914,368450,5,5630,368451,5,5631,368453,1,5631,368453,50,5634,368453,40,5634,368567,0,5634,398420,3,6192,401329,4,6460,406921,5,6735,406921,5,6735,406921,1,6735,406921,50,6737,406921,40,6737,407035,0,6737,436498,3,7612,440599,4,8013,449967,5,8438,449969,5,8439,449969,1,8439,449969,50,8441,449969,40,8441,450083,0,8441,494766,3,9292,500020,4,9717,509118,5,10142,509118,5,10143,509119,1,10143,509119,50,10145,509119,40,10145,509233,0,10145,660803,3,14497,665031,4,16672,684473,5,18846,684474,1,18846,684474,50,18849,684474,40,18849,684588,0,18850,739581,3,20251,740790,4,20951,784662,5,21651,784663,1,21651,784663,50,21653,784663,40,21653,784777,0,21653,917186,3,24554,949663,4,26004,1096268,5,27454,1096269,5,27457,1096271,1,27457,1096271,50,27465,1096271,40,27465,1096385,0,27465,1135582,3,28866,1143426,4,29566,1158675,5,30266,1158676,5,30266,1158676,1,30266,1158676,50,30270,1158676,40,30270,1158790,0,30270,1186919,3,30823,1189785,4,31096,1193984,5,31372,1193984,5,31372,1193984,1,31372,1193984,50,31374,1193984,40,31374,1194098,0,31374,1249858,3,32776,1251072,4,33475,1295748,5,34175,1295749,1,34175,1295749,50,34177,1295749,40,34177,1295863,0,34177,1315164,3,35579,1317808,4,36282,1329082,5,36978,1329083,5,36979,1329084,1,36979,1329084,50,36981,1329084,40,36981,1329198,0,36981,1368352,3,38382,1369555,4,39082,1375156,5,39782,1375157,1,39782,1375157,50,39783,1375157,40,39783,1375271,0,39784,1400934,3,40635,1403141,4,41060,1411476,5,41485,1411478,1,41486,1411478,50,41487,1411478,40,41487,1411592,0,41487,1456882,3,42888,1462390,4,43589)
%
%
% START OF PROOF
% 1411481 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 1411482 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 1411493 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(X,Z).
% 1411494 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(Y,U).
% 1411495 [] member(ordered_pair(X,Y),cross_product(Z,U)) | -member(Y,U) | -member(X,Z).
% 1411496 [] equal(ordered_pair(first(X),second(X)),X) | -member(X,cross_product(Y,Z)).
% 1411501 [] -member(X,intersection(Y,Z)) | member(X,Z).
% 1411592 [] -subclass(cross_product(intersection(x,y),z),cross_product(y,z)).
% 1411618 [binary:1411592,1411481.2] member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(intersection(x,y),z)).
% 1411630 [binary:1411592,1411482.2] -member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(y,z)).
% 1411903 [para:1411496.1.1,1411493.1.1,factor] -member(X,cross_product(Y,Z)) | member(first(X),Y).
% 1411909 [para:1411496.1.1,1411494.1.1,factor] -member(X,cross_product(Y,Z)) | member(second(X),Z).
% 1411911 [para:1411496.1.1,1411495.1.1] -member(X,cross_product(Y,Z)) | member(X,cross_product(U,V)) | -member(second(X),V) | -member(first(X),U).
% 1441286 [binary:1411618,1411903] member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),intersection(x,y)).
% 1441955 [binary:1411618,1411909] member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),z).
% 1442438 [binary:1411630,1411911.2,cut:1441955,slowcut:1411618] -member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),y).
% 1463886 [binary:1441286,1411501,cut:1442438] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using term-depth-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: 28
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 32907
% derived clauses: 3224426
% kept clauses: 656383
% kept size sum: 0
% kept mid-nuclei: 339454
% kept new demods: 1823
% forw unit-subs: 1182160
% forw double-subs: 403944
% forw overdouble-subs: 154064
% backward subs: 4875
% fast unit cutoff: 57576
% full unit cutoff: 5899
% dbl unit cutoff: 1043
% real runtime : 439.60
% process. runtime: 436.16
% specific non-discr-tree subsumption statistics:
% tried: 26206912
% length fails: 1006684
% strength fails: 3493721
% predlist fails: 16997186
% aux str. fails: 462794
% by-lit fails: 358311
% full subs tried: 3637454
% full subs fail: 3482033
%
% ; 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/SET215-6+eq_r.in")
%
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