TSTP Solution File: SET130-6 by Gandalf---c-2.6
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% File : Gandalf---c-2.6
% Problem : SET130-6 : 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 : 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 69.4s
% Output : Assurance 69.4s
% 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/SET130-6+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(95,40,1,190,0,1,405933,4,1882,406288,5,2503,406289,1,2506,406289,50,2513,406289,40,2513,406384,0,2513,419434,3,2972,421380,4,3189,430544,5,3414,430545,5,3414,430546,1,3414,430546,50,3416,430546,40,3416,430641,0,3416,458979,3,3867,463053,4,4092,472163,5,4317,472165,5,4317,472165,1,4317,472165,50,4319,472165,40,4319,472260,0,4319,506601,3,5072,510440,4,5451,516566,5,5820,516568,5,5821,516568,1,5821,516568,50,5823,516568,40,5823,516663,0,5823,548785,3,6574,553031,4,6949)
%
%
% START OF PROOF
% 516578 [] member(X,unordered_pair(X,Y)) | -member(X,universal_class).
% 516581 [] equal(unordered_pair(X,X),singleton(X)).
% 516590 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 516593 [] -member(X,complement(Y)) | -member(X,Y).
% 516594 [] member(X,complement(Y)) | -member(X,universal_class) | member(X,Y).
% 516595 [] equal(complement(intersection(complement(X),complement(Y))),union(X,Y)).
% 516661 [] equal(union(singleton(X),Y),set_builder(X,Y)).
% 516662 [] member(u,universal_class).
% 516663 [] -member(u,set_builder(u,set_builder(y,set_builder(z,null_class)))).
% 516665 [binary:516578.2,516662] member(u,unordered_pair(u,X)).
% 516673 [binary:516594.2,516662] member(u,complement(X)) | member(u,X).
% 516717 [para:516581.1.1,516665.1.2] member(u,singleton(u)).
% 516740 [binary:516593.2,516717] -member(u,complement(singleton(u))).
% 516926 [binary:516590.2,516740] -member(u,intersection(complement(singleton(u)),X)).
% 517285 [para:516595.1.1,516673.1.2] member(u,intersection(complement(X),complement(Y))) | member(u,union(X,Y)).
% 559000 [binary:516926,517285,demod:516661,slowcut:516663] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% using sos strategy
% using unit paramodulation strategy
% using unit strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 15
%
%
% old unit clauses discarded
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 5646
% derived clauses: 926672
% kept clauses: 195018
% kept size sum: 0
% kept mid-nuclei: 36909
% kept new demods: 382
% forw unit-subs: 285956
% forw double-subs: 53715
% forw overdouble-subs: 10620
% backward subs: 230
% fast unit cutoff: 4991
% full unit cutoff: 2294
% dbl unit cutoff: 177
% real runtime : 71.56
% process. runtime: 70.94
% specific non-discr-tree subsumption statistics:
% tried: 504403
% length fails: 22162
% strength fails: 69956
% predlist fails: 337131
% aux str. fails: 5271
% by-lit fails: 1068
% full subs tried: 67335
% full subs fail: 56619
%
% ; 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/SET130-6+eq_r.in")
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