%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : FLD005-3 : 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 : 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 19.9s
% Output   : Assurance 19.9s
% 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/FLD005-3+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 2 9)
% (binary-unit 10 #f 2 9)
% (binary-double 16 #f 2 9)
% (binary 54 #t 2 9)
% (binary-order 27 #f 2 9)
% (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(29,40,0,58,0,0,282623,4,2065,309727,5,2701,309729,1,2701,309729,50,2702,309729,40,2702,309758,0,2702)
% 
% 
% START OF PROOF
% 309730 [] -sum(Y,U,V) | -sum(Z,U,W) | -sum(X,Y,Z) | sum(X,V,W).
% 309732 [] sum(additive_identity,X,X) | -defined(X).
% 309733 [] sum(additive_inverse(X),X,additive_identity) | -defined(X).
% 309734 [] -sum(X,Y,Z) | sum(Y,X,Z).
% 309744 [] defined(additive_inverse(X)) | -defined(X).
% 309748 [] sum(X,Y,add(X,Y)) | -defined(X) | -defined(Y).
% 309756 [] defined(a).
% 309757 [] defined(b).
% 309758 [] -sum(a,X,b).
% 309795 [binary:309756,309744.2] defined(additive_inverse(a)).
% 309814 [binary:309757,309732.2] sum(additive_identity,b,b).
% 309829 [binary:309730.2,309814] -sum(Z,X,additive_identity) | -sum(X,b,Y) | sum(Z,Y,b).
% 309844 [binary:309756,309733.2] sum(additive_inverse(a),a,additive_identity).
% 309889 [binary:309734,309844] sum(a,additive_inverse(a),additive_identity).
% 312176 [binary:309889,309829,cut:309758] -sum(additive_inverse(a),b,X).
% 312191 [binary:309748,312176,cut:309795,cut:309757] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos strategy
% using unit 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 9
% clause depth limited to 2
% seconds given: 10
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    1126
%  derived clauses:   564325
%  kept clauses:      24774
%  kept size sum:     328806
%  kept mid-nuclei:   284180
%  kept new demods:   0
%  forw unit-subs:    184496
%  forw double-subs: 41846
%  forw overdouble-subs: 11268
%  backward subs:     45
%  fast unit cutoff:  2531
%  full unit cutoff:  2855
%  dbl  unit cutoff:  13
%  real runtime  :  27.19
%  process. runtime:  27.15
% specific non-discr-tree subsumption statistics: 
%  tried:           137950
%  length fails:    7874
%  strength fails:  4393
%  predlist fails:  74537
%  aux str. fails:  8127
%  by-lit fails:    607
%  full subs tried: 24160
%  full subs fail:  21894
% 
% ; 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/FLD005-3+noeq.in")
% 
%------------------------------------------------------------------------------