TSTP Solution File: SET096-6 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : SET096-6 : 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 : art05.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 20.0s
% Output : Assurance 20.0s
% 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/SET096-6+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: neq
% detected subclass: medium
%
% strategies selected:
% (hyper 25 #f 6 9)
% (binary-unit 9 #f 6 9)
% (binary-double 9 #f 6 9)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 6 9)
% (binary-order 25 #f 6 9)
% (binary-posweight-order 101 #f)
% (binary-posweight-lex-big-order 25 #f)
% (binary-posweight-lex-small-order 9 #f)
% (binary-order-sos 50 #t)
% (binary-unit-uniteq 25 #f)
% (binary-weightorder 50 #f)
% (binary-order 50 #f)
% (hyper-order 30 #f)
% (binary 112 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(95,40,1,190,0,1,441917,4,1890,466286,5,2502,466287,1,2505,466287,50,2511,466287,40,2511,466382,0,2511)
%
%
% START OF PROOF
% 466288 [] equal(X,X).
% 466289 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 466290 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 466291 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 466293 [] -equal(X,Y) | subclass(X,Y).
% 466295 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 466296 [] -member(X,unordered_pair(Y,Z)) | equal(X,Y) | equal(X,Z).
% 466300 [] equal(unordered_pair(X,X),singleton(X)).
% 466354 [] member(regular(X),X) | equal(X,null_class).
% 466380 [] subclass(x,singleton(y)).
% 466381 [] -equal(x,null_class).
% 466382 [] -equal(singleton(y),x).
% 466395 [binary:466380,466289.2] member(X,singleton(y)) | -member(X,x).
% 466407 [binary:466288,466293] subclass(X,X).
% 466415 [para:466300.1.2,466395.1.2] member(X,unordered_pair(y,y)) | -member(X,x).
% 466422 [binary:466380,466295,cut:466382] -subclass(singleton(y),x).
% 466428 [binary:466290.2,466422] member(not_subclass_element(singleton(y),x),singleton(y)).
% 466429 [binary:466291.2,466422] -member(not_subclass_element(singleton(y),x),x).
% 466439 [para:466300.1.1,466296.1.2] -member(X,singleton(Y)) | equal(X,Y).
% 466461 [binary:466289.3,466429] -member(not_subclass_element(singleton(y),x),X) | -subclass(X,x).
% 467967 [binary:466381,466354.2] member(regular(x),x).
% 468042 [binary:466415.2,467967] member(regular(x),unordered_pair(y,y)).
% 468650 [binary:466296,468042] equal(regular(x),y).
% 468678 [para:468650.1.1,466354.1.1,cut:466381] member(y,x).
% 470264 [binary:466428,466439] equal(not_subclass_element(singleton(y),x),y).
% 471625 [binary:466407,466461.2,demod:470264,cut:468678] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using unit 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: 9
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1186
% derived clauses: 609120
% kept clauses: 82150
% kept size sum: 50360
% kept mid-nuclei: 8549
% kept new demods: 113
% forw unit-subs: 121064
% forw double-subs: 15162
% forw overdouble-subs: 510
% backward subs: 7
% fast unit cutoff: 790
% full unit cutoff: 2
% dbl unit cutoff: 89
% real runtime : 25.62
% process. runtime: 25.58
% specific non-discr-tree subsumption statistics:
% tried: 6059
% length fails: 26
% strength fails: 33
% predlist fails: 3428
% aux str. fails: 15
% by-lit fails: 23
% full subs tried: 2526
% full subs fail: 2022
%
% ; 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/SET096-6+eq_r.in")
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