%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : NUM217-1 : 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 397.4s
% Output : Assurance 397.4s
% 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/NUM/NUM217-1+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(160,40,1,320,0,1,222956,4,2223,270064,5,2804,270065,1,2806,270065,50,2832,270065,40,2832,270225,0,2832,292637,3,4255,295738,4,4940,309748,5,5633,309749,5,5633,309750,1,5633,309750,50,5636,309750,40,5636,309910,0,5636,338941,3,6187,342285,4,6462,356341,5,6737,356341,5,6737,356341,1,6737,356341,50,6740,356341,40,6740,356501,0,6740,386554,3,7591,390340,4,8018,399344,5,8441,399345,5,8442,399346,1,8442,399346,50,8444,399346,40,8444,399506,0,8444,436628,3,9296,440988,4,9720,447703,5,10145,447704,5,10146,447704,1,10146,447704,50,10148,447704,40,10148,447864,0,10148,566673,3,14499,571688,4,16674,593068,5,18851,593068,1,18851,593068,50,18854,593068,40,18854,593228,0,18854,643381,3,20255,644614,4,20955,676726,5,21655,676726,1,21655,676726,50,21657,676726,40,21657,676886,0,21657,785786,3,24596,815622,4,26009,955971,5,27503,955971,5,27505,955972,1,27505,955972,50,27512,955972,40,27512,956132,0,27546,1019010,3,28948,1029524,4,29647,1043749,5,30347,1043750,5,30348,1043750,1,30348,1043750,50,30353,1043750,40,30353,1043910,0,30384,1069122,3,30935,1070555,4,31210,1080899,5,31485,1080900,1,31485,1080900,50,31486,1080900,40,31486,1081060,0,31486,1130661,3,32887,1131716,4,33587,1164970,1,34288,1164970,50,34289,1164970,40,34289,1165130,0,34290,1185711,3,35692,1190428,4,36393,1204429,5,37091,1204430,5,37092,1204431,1,37092,1204431,50,37095,1204431,40,37095,1204591,0,37095,1249690,3,38496,1250351,4,39196,1255256,5,39896,1255257,1,39896,1255257,50,39898,1255257,40,39898,1255417,0,39898)
%
%
% START OF PROOF
% 1255258 [] equal(X,X).
% 1255259 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 1255260 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 1255262 [] subclass(X,universal_class).
% 1255265 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 1255275 [] equal(ordered_pair(first(X),second(X)),X) | -member(X,cross_product(Y,Z)).
% 1255279 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 1255282 [] -member(X,complement(Y)) | -member(X,Y).
% 1255286 [] equal(intersection(X,cross_product(Y,Z)),restrict(X,Y,Z)).
% 1255288 [] -equal(restrict(X,singleton(Y),universal_class),null_class) | -member(Y,domain_of(X)).
% 1255324 [] member(regular(X),X) | equal(X,null_class).
% 1255398 [] subclass(rest_of(X),cross_product(universal_class,universal_class)).
% 1255399 [] -member(ordered_pair(X,Y),rest_of(Z)) | member(X,domain_of(Z)).
% 1255417 [] -equal(rest_of(null_class),null_class).
% 1255432 [binary:1255262,1255259.2] member(X,universal_class) | -member(X,Y).
% 1255465 [binary:1255417,1255265.3] -subclass(rest_of(null_class),null_class) | -subclass(null_class,rest_of(null_class)).
% 1255693 [binary:1255259.3,1255275.2] equal(ordered_pair(first(X),second(X)),X) | -subclass(Y,cross_product(Z,U)) | -member(X,Y).
% 1256022 [binary:1255432,1255282.2,factor] -member(X,complement(universal_class)).
% 1256038 [binary:1255260,1256022] subclass(complement(universal_class),X).
% 1256042 [binary:1255279.2,1256022] -member(X,intersection(complement(universal_class),Y)).
% 1256845 [binary:1256022,1255324] equal(complement(universal_class),null_class).
% 1256855 [binary:1256042,1255324,demod:1256845] equal(intersection(null_class,X),null_class).
% 1256887 [para:1256845.1.1,1256038.1.1] subclass(null_class,X).
% 1256940 [binary:1255465.2,1256887] -subclass(rest_of(null_class),null_class).
% 1256991 [binary:1255260.2,1256940] member(not_subclass_element(rest_of(null_class),null_class),rest_of(null_class)).
% 1257036 [para:1256855.1.1,1255286.1.1] equal(null_class,restrict(null_class,X,Y)).
% 1257400 [para:1257036.1.2,1255288.1.1,cut:1255258] -member(X,domain_of(null_class)).
% 1261177 [binary:1257400,1255399.2] -member(ordered_pair(X,Y),rest_of(null_class)).
% 1278832 [para:1255693.1.1,1261177.1.1,factor:slowcut:1255398,slowcut:1256991] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using weight-order strategy
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 17
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 30643
% derived clauses: 2930931
% kept clauses: 619738
% kept size sum: 306116
% kept mid-nuclei: 328306
% kept new demods: 1904
% forw unit-subs: 1053714
% forw double-subs: 415305
% forw overdouble-subs: 189897
% backward subs: 4551
% fast unit cutoff: 43283
% full unit cutoff: 9527
% dbl unit cutoff: 1996
% real runtime : 407.56
% process. runtime: 404.56
% specific non-discr-tree subsumption statistics:
% tried: 22066580
% length fails: 571856
% strength fails: 3645729
% predlist fails: 11226902
% aux str. fails: 1160204
% by-lit fails: 1815431
% full subs tried: 2559200
% full subs fail: 2368499
%
% ; 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/NUM/NUM217-1+eq_r.in")
%
%------------------------------------------------------------------------------