TSTP Solution File: HEN003-2 by Gandalf---c-2.6

View Problem - Process Solution

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% File     : Gandalf---c-2.6
% Problem  : HEN003-2 : 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 : art08.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 0.0s
% Output   : Assurance 0.0s
% 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/HEN/HEN003-2+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 11)
% (binary-posweight-order 29 #f 2 11)
% (binary-unit 29 #f 2 11)
% (binary-double 29 #f 2 11)
% (binary 29 #t 2 11)
% (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(13,40,1,26,0,1,356,50,2,369,0,2)
% 
% 
% START OF PROOF
% 358 [] quotient(X,Y,zero) | -less_equal(X,Y).
% 359 [] -quotient(X,Y,zero) | less_equal(X,Y).
% 360 [] -quotient(X,Y,Z) | less_equal(Z,X).
% 361 [] -quotient(Z,U,X2) | -quotient(V,W,X1) | -quotient(Y,U,W) | -quotient(X,U,V) | -quotient(X,Y,Z) | less_equal(X1,X2).
% 362 [] less_equal(zero,X).
% 363 [] -less_equal(X,Y) | -less_equal(Y,X) | equal(Y,X).
% 365 [] quotient(X,Y,divide(X,Y)).
% 368 [] quotient(zero,X,zero).
% 369 [] -quotient(x,x,zero).
% 406 [hyper:360,365] less_equal(divide(X,Y),X).
% 704 [hyper:358,406] quotient(divide(X,Y),X,zero).
% 720 [hyper:361,704,365,365,365,368] less_equal(divide(divide(X,X),zero),zero).
% 803 [hyper:363,720,cut:362] equal(zero,divide(divide(X,X),zero)).
% 804 [para:803.1.2,365.1.3] quotient(divide(X,X),zero,zero).
% 1016 [hyper:359,804] less_equal(divide(X,X),zero).
% 1251 [hyper:363,1016,cut:362] equal(zero,divide(X,X)).
% 1253 [para:1251.1.2,365.1.3,slowcut:369] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using hyperresolution
% not using sos strategy
% using positive unit paramodulation strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 11
% clause depth limited to 3
% seconds given: 58
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    39
%  derived clauses:   3535
%  kept clauses:      38
%  kept size sum:     296
%  kept mid-nuclei:   1144
%  kept new demods:   7
%  forw unit-subs:    1705
%  forw double-subs: 390
%  forw overdouble-subs: 0
%  backward subs:     1
%  fast unit cutoff:  6
%  full unit cutoff:  20
%  dbl  unit cutoff:  0
%  real runtime  :  0.6
%  process. runtime:  0.5
% specific non-discr-tree subsumption statistics: 
%  tried:           747
%  length fails:    0
%  strength fails:  193
%  predlist fails:  73
%  aux str. fails:  481
%  by-lit fails:    0
%  full subs tried: 0
%  full subs fail:  0
% 
% ; 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/HEN/HEN003-2+eq_r.in")
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