%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : FLD070-1 : 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 : 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 40.0s
% Output   : Assurance 40.0s
% 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/FLD/FLD070-1+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: nne
% detected subclass: medium
% 
% strategies selected: 
% (hyper 27 #f 3 7)
% (binary-unit 10 #f 3 7)
% (binary-double 16 #f 3 7)
% (binary 54 #t 3 7)
% (binary-order 27 #f 3 7)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(32,40,1,64,0,1,638347,4,2028,638599,50,2058,638599,40,2058,638631,0,2058,691448,3,2560,693295,4,2809,703611,5,3060,703612,1,3060,703612,50,3064,703612,40,3064,703644,0,3064,765533,3,3888,775100,4,4266,802589,5,4665,802589,1,4665,802589,50,4669,802589,40,4669,802621,0,4669)
% 
% 
% START OF PROOF
% 802591 [] equalish(add(additive_identity,X),X) | -defined(X).
% 802606 [] -less_or_equal(X,Y) | -less_or_equal(Y,Z) | less_or_equal(X,Z).
% 802608 [] less_or_equal(add(X,Y),add(Z,Y)) | -less_or_equal(X,Z) | -defined(Y).
% 802615 [] -less_or_equal(X,Y) | -equalish(X,Z) | less_or_equal(Z,Y).
% 802618 [] defined(b).
% 802619 [] less_or_equal(additive_identity,a).
% 802620 [] less_or_equal(additive_identity,b).
% 802621 [] -less_or_equal(additive_identity,add(a,b)).
% 802653 [binary:802591.2,802618] equalish(add(additive_identity,b),b).
% 802674 [binary:802608.3,802618] less_or_equal(add(X,b),add(Y,b)) | -less_or_equal(X,Y).
% 802722 [binary:802606,802620] -less_or_equal(b,X) | less_or_equal(additive_identity,X).
% 802761 [binary:802615.2,802653] -less_or_equal(add(additive_identity,b),X) | less_or_equal(b,X).
% 804408 [binary:802621,802722.2] -less_or_equal(b,add(a,b)).
% 805189 [binary:802619,802674.2] less_or_equal(add(additive_identity,b),add(a,b)).
% 811331 [binary:804408,802761.2,cut:805189] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% 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 3
% seconds given: 54
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    5819
%  derived clauses:   2672502
%  kept clauses:      205664
%  kept size sum:     107203
%  kept mid-nuclei:   37304
%  kept new demods:   0
%  forw unit-subs:    52870
%  forw double-subs: 179505
%  forw overdouble-subs: 17170
%  backward subs:     20
%  fast unit cutoff:  3365
%  full unit cutoff:  0
%  dbl  unit cutoff:  193
%  real runtime  :  47.45
%  process. runtime:  47.45
% specific non-discr-tree subsumption statistics: 
%  tried:           184040
%  length fails:    27
%  strength fails:  4104
%  predlist fails:  63078
%  aux str. fails:  13
%  by-lit fails:    928
%  full subs tried: 93652
%  full subs fail:  89682
% 
% ; 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/FLD/FLD070-1+noeq.in")
% 
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