%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : HEN010-6 : 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 : art07.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 : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----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/HEN010-6+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: short
% 
% strategies selected: 
% (binary-posweight-order 57 #f 4 5)
% (binary-unit 28 #f 4 5)
% (binary-double 28 #f 4 5)
% (binary 45 #t 4 5)
% (hyper 11 #t 4 5)
% (hyper 28 #f)
% (binary-unit-uniteq 16 #f)
% (binary-weightorder 22 #f)
% (binary-posweight-order 159 #f)
% (binary-posweight-lex-big-order 57 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 28 #f)
% (binary-unit 45 #f)
% (binary 65 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(17,40,0,34,0,0)
% 
% 
% START OF PROOF
% 18 [] equal(X,X).
% 19 [] equal(divide(X,Y),zero) | -less_equal(X,Y).
% 20 [] -equal(divide(X,Y),zero) | less_equal(X,Y).
% 21 [] less_equal(divide(X,Y),X).
% 22 [] less_equal(divide(divide(X,Y),divide(Z,Y)),divide(divide(X,Z),Y)).
% 23 [] less_equal(zero,X).
% 24 [] -less_equal(Y,X) | -less_equal(X,Y) | equal(X,Y).
% 25 [] less_equal(X,identity).
% 28 [] equal(divide(X,X),zero).
% 30 [] -less_equal(divide(X,Y),Z) | less_equal(divide(X,Z),Y).
% 32 [] less_equal(divide(X,Y),divide(Z,Y)) | -less_equal(X,Z).
% 33 [] equal(divide(identity,divide(identity,divide(identity,X))),divide(identity,X)).
% 34 [] -equal(divide(identity,a),divide(divide(identity,a),divide(identity,divide(identity,a)))).
% 39 [para:28.1.1,20.1.1,cut:18] less_equal(X,X).
% 43 [binary:23,24] -less_equal(X,zero) | equal(X,zero).
% 48 [para:28.1.1,22.1.2] less_equal(divide(divide(X,divide(X,Y)),divide(Y,divide(X,Y))),zero).
% 69 [binary:39,30] less_equal(divide(X,divide(X,Y)),Y).
% 77 [binary:43,69,binarydemod:20] less_equal(X,divide(X,zero)).
% 78 [binary:24,77,cut:21] equal(divide(X,zero),X).
% 97 [binary:25,32.2] less_equal(divide(X,Y),divide(identity,Y)).
% 103 [binary:24,97] -less_equal(divide(identity,X),divide(Y,X)) | equal(divide(identity,X),divide(Y,X)).
% 151 [binary:19.2,48,demod:78,binarydemod:20] less_equal(divide(X,divide(X,Y)),divide(Y,divide(X,Y))).
% 436 [binary:151,103] equal(divide(identity,divide(identity,X)),divide(X,divide(identity,X))).
% 437 [para:436.1.2,34.1.2,demod:33,cut:18] 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 5
% clause depth limited to 4
% seconds given: 57
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    146
%  derived clauses:   8079
%  kept clauses:      363
%  kept size sum:     5266
%  kept mid-nuclei:   0
%  kept new demods:   50
%  forw unit-subs:    6060
%  forw double-subs: 213
%  forw overdouble-subs: 0
%  backward subs:     11
%  fast unit cutoff:  25
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.7
%  process. runtime:  0.7
% specific non-discr-tree subsumption statistics: 
%  tried:           0
%  length fails:    0
%  strength fails:  0
%  predlist fails:  0
%  aux str. fails:  0
%  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/HEN010-6+eq_r.in")
% 
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