TSTP Solution File: SET151-6 by Gandalf---c-2.6

View Problem - Process Solution

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% File     : Gandalf---c-2.6
% Problem  : SET151-6 : 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 39.0s
% Output   : Assurance 39.0s
% 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/SET151-6+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(114,40,1,228,0,1,362895,4,2106,373932,5,2802,373933,1,2805,373933,50,2812,373933,40,2812,374047,0,2812)
% 
% 
% START OF PROOF
% 373935 [] -member(X,Y) | -subclass(Y,Z) | member(X,Z).
% 373936 [] member(not_subclass_element(X,Y),X) | subclass(X,Y).
% 373937 [] -member(not_subclass_element(X,Y),Y) | subclass(X,Y).
% 373938 [] subclass(X,universal_class).
% 373940 [] -equal(X,Y) | subclass(Y,X).
% 373941 [] -subclass(Y,X) | -subclass(X,Y) | equal(X,Y).
% 373955 [] -member(X,intersection(Y,Z)) | member(X,Y).
% 373959 [] member(X,complement(Y)) | -member(X,universal_class) | member(X,Y).
% 374001 [] equal(intersection(X,regular(X)),null_class) | equal(X,null_class).
% 374047 [] -equal(complement(null_class),universal_class).
% 374085 [binary:374047,373941.3,cut:373938] -subclass(universal_class,complement(null_class)).
% 374092 [binary:373936.2,374085] member(not_subclass_element(universal_class,complement(null_class)),universal_class).
% 374094 [binary:373937.2,374085] -member(not_subclass_element(universal_class,complement(null_class)),complement(null_class)).
% 374124 [binary:373935.3,374094] -member(not_subclass_element(universal_class,complement(null_class)),X) | -subclass(X,complement(null_class)).
% 374290 [binary:374094,373955.2] -member(not_subclass_element(universal_class,complement(null_class)),intersection(complement(null_class),X)).
% 374403 [binary:374094,373959,cut:374092] member(not_subclass_element(universal_class,complement(null_class)),null_class).
% 380810 [binary:374403,374124] -subclass(null_class,complement(null_class)).
% 380817 [binary:373940.2,380810] -equal(complement(null_class),null_class).
% 397201 [para:374001.1.1,374290.1.2,cut:374403,cut:380817] 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:    1869
%  derived clauses:   531597
%  kept clauses:      99921
%  kept size sum:     253984
%  kept mid-nuclei:   8372
%  kept new demods:   125
%  forw unit-subs:    95403
%  forw double-subs: 11670
%  forw overdouble-subs: 377
%  backward subs:     32
%  fast unit cutoff:  275
%  full unit cutoff:  0
%  dbl  unit cutoff:  43
%  real runtime  :  41.43
%  process. runtime:  40.39
% specific non-discr-tree subsumption statistics: 
%  tried:           19678
%  length fails:    1334
%  strength fails:  24
%  predlist fails:  13293
%  aux str. fails:  113
%  by-lit fails:    2
%  full subs tried: 4871
%  full subs fail:  4499
% 
% ; 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/SET151-6+eq_r.in")
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