TSTP Solution File: SET217-6 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET217-6 : 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 427.5s
% Output : Assurance 427.5s
% 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/SET217-6+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(114,40,0,228,0,1,327120,4,2102,327622,5,2802,327623,1,2805,327623,50,2812,327623,40,2812,327737,0,2812,353834,3,4213,357819,4,4914,371135,5,5618,371136,5,5619,371137,1,5619,371137,50,5622,371137,40,5622,371251,0,5622,400346,3,6173,404009,4,6448,409474,5,6723,409475,5,6723,409475,1,6723,409475,50,6726,409475,40,6726,409589,0,6726,438768,3,7603,442444,4,8002,451762,5,8427,451763,5,8428,451763,1,8428,451763,50,8430,451763,40,8430,451877,0,8430,497279,3,9282,502437,4,9707,511658,5,10131,511659,5,10133,511660,1,10133,511660,50,10135,511660,40,10135,511774,0,10135,662663,3,14488,666792,4,16661,686249,1,18836,686249,50,18839,686249,40,18839,686363,0,18839,741577,3,20241,742691,4,20940,786364,5,21640,786364,1,21640,786364,50,21641,786364,40,21641,786478,0,21641,915866,3,24570,948737,4,26022,1093349,5,27442,1093350,5,27444,1093351,1,27444,1093351,50,27452,1093351,40,27452,1093465,0,27453,1132574,3,28855,1140473,4,29554,1155701,5,30254,1155702,1,30255,1155702,50,30258,1155702,40,30258,1155816,0,30258,1183944,3,30812,1187094,4,31084,1191513,5,31359,1191513,5,31359,1191513,1,31359,1191513,50,31361,1191513,40,31361,1191627,0,31361,1247025,3,32762,1248216,4,33462,1292481,5,34162,1292481,1,34162,1292481,50,34164,1292481,40,34164,1292595,0,34164,1312025,3,35567,1315130,4,36265,1326926,5,36965,1326927,5,36966,1326928,1,36966,1326928,50,36968,1326928,40,36968,1327042,0,36968,1366741,3,38369,1367951,4,39069,1373590,5,39769,1373591,1,39769,1373591,50,39771,1373591,40,39771,1373705,0,39771,1400054,3,40622,1402201,4,41047,1411026,5,41472,1411028,5,41473,1411029,1,41473,1411029,50,41475,1411029,40,41475,1411143,0,41475,1456221,3,42876,1461290,4,43577)
%
%
% START OF PROOF
% 1411032 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 1411033 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 1411044 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(X,Z).
% 1411045 [] -member(ordered_pair(X,Y),cross_product(Z,U)) | member(Y,U).
% 1411046 [] member(ordered_pair(X,Y),cross_product(Z,U)) | -member(Y,U) | -member(X,Z).
% 1411047 [] equal(ordered_pair(first(X),second(X)),X) | -member(X,cross_product(Y,Z)).
% 1411052 [] -member(X,intersection(Y,Z)) | member(X,Z).
% 1411143 [] -subclass(cross_product(x,intersection(y,z)),cross_product(x,z)).
% 1411169 [binary:1411143,1411032.2] member(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z)),cross_product(x,intersection(y,z))).
% 1411181 [binary:1411143,1411033.2] -member(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z)),cross_product(x,z)).
% 1411454 [para:1411047.1.1,1411044.1.1,factor] -member(X,cross_product(Y,Z)) | member(first(X),Y).
% 1411460 [para:1411047.1.1,1411045.1.1,factor] -member(X,cross_product(Y,Z)) | member(second(X),Z).
% 1411462 [para:1411047.1.1,1411046.1.1] -member(X,cross_product(Y,Z)) | member(X,cross_product(U,V)) | -member(second(X),V) | -member(first(X),U).
% 1440837 [binary:1411169,1411454] member(first(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),x).
% 1441506 [binary:1411169,1411460] member(second(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),intersection(y,z)).
% 1441987 [binary:1411181,1411462.2,cut:1440837,slowcut:1411169] -member(second(not_subclass_element(cross_product(x,intersection(y,z)),cross_product(x,z))),z).
% 1462717 [binary:1441506,1411052,cut:1441987] 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: 32856
% derived clauses: 3244091
% kept clauses: 657474
% kept size sum: 0
% kept mid-nuclei: 336732
% kept new demods: 1823
% forw unit-subs: 1200976
% forw double-subs: 404913
% forw overdouble-subs: 153891
% backward subs: 4885
% fast unit cutoff: 57222
% full unit cutoff: 5890
% dbl unit cutoff: 1046
% real runtime : 439.22
% process. runtime: 436.5
% specific non-discr-tree subsumption statistics:
% tried: 26207644
% length fails: 1008840
% strength fails: 3453635
% predlist fails: 17022114
% aux str. fails: 465088
% by-lit fails: 361369
% full subs tried: 3645115
% full subs fail: 3489890
%
% ; 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/SET217-6+eq_r.in")
%
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