TSTP Solution File: CAT005-1 by Gandalf---c-2.6

View Problem - Process Solution

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% File     : Gandalf---c-2.6
% Problem  : CAT005-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : add_equality:r
% Format   : otter:hypothesis:set(auto),clear(print_given)
% Command  : gandalf-wrapper -time %d %s

% Computer : art02.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 30.0s
% Output   : Assurance 30.0s
% 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/CAT/CAT005-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: heq
% detected subclass: medium
% detected subclass: long
% 
% strategies selected: 
% (hyper 58 #f 2 7)
% (binary-posweight-order 29 #f 2 7)
% (binary-unit 29 #f 2 7)
% (binary-double 29 #f 2 7)
% (binary 29 #t 2 7)
% (hyper 29 #t)
% (hyper 105 #f)
% (binary-unit-uniteq 17 #f)
% (binary-weightorder 23 #f)
% (binary-posweight-order 70 #f)
% (binary-posweight-lex-big-order 29 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 29 #f)
% (binary-unit 46 #f)
% (binary 67 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(22,40,1,44,0,1,3640,50,17,3662,0,17,44015,50,284,44037,0,284,158925,50,1377,158947,0,1377,356297,50,3641,356297,40,3641,356319,0,3641)
% 
% 
% START OF PROOF
% 356301 [] -product(X,Y,Z) | -defined(Z,U) | defined(Y,U).
% 356308 [] identity_map(domain(X)).
% 356312 [] product(X,domain(X),X).
% 356314 [] product(X,Y,Y) | -defined(X,Y) | -identity_map(X).
% 356315 [] product(X,Y,X) | -defined(X,Y) | -identity_map(Y).
% 356316 [] -product(X,Y,U) | -product(X,Y,Z) | equal(Z,U).
% 356317 [] defined(a,d).
% 356318 [] identity_map(d).
% 356319 [] -equal(domain(a),d).
% 356336 [binary:356312,356301] defined(domain(X),Y) | -defined(X,Y).
% 356339 [binary:356317,356336.2] defined(domain(a),d).
% 356341 [binary:356314.2,356339,cut:356308] product(domain(a),d,d).
% 356354 [binary:356339,356315.2,cut:356318] product(domain(a),d,domain(a)).
% 356473 [binary:356341,356316] -product(domain(a),d,X) | equal(X,d).
% 356730 [binary:356354,356473,cut:356319] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using first neg lit preferred strategy
% not using sos 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 7
% clause depth limited to 2
% seconds given: 29
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    2042
%  derived clauses:   3732924
%  kept clauses:      2160
%  kept size sum:     17288
%  kept mid-nuclei:   354317
%  kept new demods:   50
%  forw unit-subs:    2545774
%  forw double-subs: 135045
%  forw overdouble-subs: 6
%  backward subs:     10
%  fast unit cutoff:  1526
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  36.43
%  process. runtime:  36.42
% specific non-discr-tree subsumption statistics: 
%  tried:           31683
%  length fails:    26
%  strength fails:  15124
%  predlist fails:  12926
%  aux str. fails:  2824
%  by-lit fails:    0
%  full subs tried: 783
%  full subs fail:  777
% 
% ; 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/CAT/CAT005-1+eq_r.in")
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