%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : HEN006-7 : 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/HEN006-7+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(18,40,0,36,0,0,6069,50,21,6087,0,21)
% 
% 
% START OF PROOF
% 6071 [] quotient(X,Y,zero) | -less_equal(X,Y).
% 6072 [] -quotient(X,Y,zero) | less_equal(X,Y).
% 6073 [] -quotient(X,Y,Z) | less_equal(Z,X).
% 6074 [] -quotient(Z,U,X2) | -quotient(V,W,X1) | -quotient(Y,U,W) | -quotient(X,U,V) | -quotient(X,Y,Z) | less_equal(X1,X2).
% 6075 [] less_equal(zero,X).
% 6076 [] -less_equal(Y,X) | -less_equal(X,Y) | equal(X,Y).
% 6078 [] quotient(X,Y,divide(X,Y)).
% 6079 [] -quotient(X,Y,U) | -quotient(X,Y,Z) | equal(Z,U).
% 6081 [] quotient(zero,X,zero).
% 6083 [] quotient(X,zero,X).
% 6084 [] quotient(x,y,x^qy).
% 6085 [] less_equal(x^qy,z).
% 6086 [] quotient(x,z,x^qz).
% 6087 [] -less_equal(x^qz,y).
% 6092 [hyper:6071,6085] quotient(x^qy,z,zero).
% 6763 [hyper:6073,6078] less_equal(divide(X,Y),X).
% 8364 [hyper:6074,6078,6084,6078,6086,6092] less_equal(divide(x^qz,divide(y,z)),zero).
% 8881 [hyper:6079,6078,6083] equal(X,divide(X,zero)).
% 8889 [hyper:6071,6763] quotient(divide(X,Y),X,zero).
% 15170 [hyper:6076,8364,cut:6075] equal(zero,divide(x^qz,divide(y,z))).
% 16380 [para:15170.1.2,6078.1.3] quotient(x^qz,divide(y,z),zero).
% 16557 [hyper:6074,16380,8889,6078,6078,6081,demod:8881] less_equal(divide(x^qz,y),zero).
% 16780 [hyper:6076,16557,cut:6075] equal(zero,divide(x^qz,y)).
% 16781 [para:16780.1.2,6078.1.3] quotient(x^qz,y,zero).
% 16784 [hyper:6072,16781,cut:6087] 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:    254
%  derived clauses:   47153
%  kept clauses:      411
%  kept size sum:     3143
%  kept mid-nuclei:   16219
%  kept new demods:   36
%  forw unit-subs:    24716
%  forw double-subs: 4477
%  forw overdouble-subs: 0
%  backward subs:     30
%  fast unit cutoff:  114
%  full unit cutoff:  87
%  dbl  unit cutoff:  0
%  real runtime  :  0.59
%  process. runtime:  0.57
% specific non-discr-tree subsumption statistics: 
%  tried:           9752
%  length fails:    0
%  strength fails:  4441
%  predlist fails:  1057
%  aux str. fails:  4236
%  by-lit fails:    0
%  full subs tried: 18
%  full subs fail:  18
% 
% ; 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/HEN006-7+eq_r.in")
% 
%------------------------------------------------------------------------------