TSTP Solution File: SET245-6 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : SET245-6 : 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 : art01.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 49.5s
% Output : Assurance 49.5s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
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%----NO SOLUTION OUTPUT BY SYSTEM
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%----ORIGINAL SYSTEM OUTPUT
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% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/SET/SET245-6+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(114,40,0,228,0,1,368575,4,2126,391549,5,2804,391550,1,2804,391550,50,2811,391550,40,2811,391664,0,2811,416647,3,4213,420543,4,4913,435359,5,5612,435359,5,5612,435360,1,5612,435360,50,5615,435360,40,5615,435474,0,5615)
%
%
% START OF PROOF
% 435362 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 435365 [] subclass(X,universal_class).
% 435366 [] -equal(X,Y) | subclass(X,Y).
% 435367 [] -equal(X,Y) | subclass(Y,X).
% 435368 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 435382 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 435385 [] -member(X,complement(Y)) | -member(X,Y).
% 435389 [] equal(intersection(X,cross_product(Y,Z)),restrict(X,Y,Z)).
% 435427 [] member(regular(X),X) | equal(X,null_class).
% 435474 [] -equal(restrict(null_class,x,y),null_class).
% 435488 [binary:435365,435362.2] member(X,universal_class) | -member(X,Y).
% 435522 [binary:435474,435368.3] -subclass(restrict(null_class,x,y),null_class) | -subclass(null_class,restrict(null_class,x,y)).
% 435543 [binary:435366.2,435522.2] -subclass(restrict(null_class,x,y),null_class) | -equal(null_class,restrict(null_class,x,y)).
% 435587 [binary:435367.2,435543] -equal(null_class,restrict(null_class,x,y)).
% 435908 [binary:435488,435385.2,factor] -member(X,complement(universal_class)).
% 436052 [binary:435908,435382.2] -member(X,intersection(complement(universal_class),Y)).
% 438049 [binary:435908,435427] equal(complement(universal_class),null_class).
% 438089 [binary:436052,435427,demod:438049] equal(intersection(null_class,X),null_class).
% 438495 [para:438089.1.1,435389.1.1,slowcut:435587] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 9
% clause depth limited to 6
% seconds given: 11
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 2525
% derived clauses: 602451
% kept clauses: 108477
% kept size sum: 355470
% kept mid-nuclei: 23230
% kept new demods: 178
% forw unit-subs: 122485
% forw double-subs: 13136
% forw overdouble-subs: 530
% backward subs: 69
% fast unit cutoff: 564
% full unit cutoff: 6
% dbl unit cutoff: 56
% real runtime : 56.80
% process. runtime: 56.32
% specific non-discr-tree subsumption statistics:
% tried: 22433
% length fails: 1344
% strength fails: 283
% predlist fails: 14930
% aux str. fails: 136
% by-lit fails: 22
% full subs tried: 5661
% full subs fail: 5129
%
% ; 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/SET245-6+eq_r.in")
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