TSTP Solution File: SET096-7 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SET096-7 : 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 : art09.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
%
% Gandalf c-2.6 r1 starting to prove: /home/graph/tptp/TSTP/PreparedTPTP/otter:hypothesis:set(auto),clear(print_given)---add_equality:r/SET/SET096-7+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(143,40,1,286,0,1,423009,4,2126,542953,5,2802,542954,1,2804,542954,50,2810,542954,40,2810,543097,0,2810)
%
%
% START OF PROOF
% 542956 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 542962 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 542963 [] -member(X,unordered_pair(Y,Z)) | equal(X,Y) | equal(X,Z).
% 542967 [] equal(unordered_pair(X,X),singleton(X)).
% 543021 [] member(regular(X),X) | equal(X,null_class).
% 543074 [] subclass(unordered_pair(X,Y),Z) | -member(Y,Z) | -member(X,Z).
% 543095 [] subclass(x,singleton(y)).
% 543096 [] -equal(x,null_class).
% 543097 [] -equal(singleton(y),x).
% 543110 [binary:543095,542956.2] member(X,singleton(y)) | -member(X,x).
% 543132 [para:542967.1.2,543095.1.2] subclass(x,unordered_pair(y,y)).
% 543133 [para:542967.1.2,543097.1.1] -equal(unordered_pair(y,y),x).
% 543148 [binary:543132,542962,cut:543133] -subclass(unordered_pair(y,y),x).
% 544584 [binary:543096,543021.2] member(regular(x),x).
% 544725 [binary:543110.2,544584] member(regular(x),singleton(y)).
% 544922 [para:542967.1.2,544725.1.2] member(regular(x),unordered_pair(y,y)).
% 545420 [binary:542963,544922] equal(regular(x),y).
% 545446 [para:545420.1.1,543021.1.1,cut:543096] member(y,x).
% 546913 [binary:543148,543074,cut:545446] 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: 28
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 1251
% derived clauses: 794529
% kept clauses: 80802
% kept size sum: 36937
% kept mid-nuclei: 132956
% kept new demods: 639
% forw unit-subs: 216759
% forw double-subs: 20516
% forw overdouble-subs: 7491
% backward subs: 12
% fast unit cutoff: 1482
% full unit cutoff: 146
% dbl unit cutoff: 150
% real runtime : 28.35
% process. runtime: 28.35
% specific non-discr-tree subsumption statistics:
% tried: 139095
% length fails: 22850
% strength fails: 11419
% predlist fails: 13503
% aux str. fails: 19215
% by-lit fails: 4469
% full subs tried: 44358
% full subs fail: 37142
%
% ; 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/SET096-7+eq_r.in")
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