%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : GRP003-2 : 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 : art09.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/GRP/GRP003-2+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: hne
% detected subclass: small
% detected subclass: long
% 
% strategies selected: 
% (hyper 57 #f 2 7)
% (binary-unit 28 #f 2 7)
% (binary-double 28 #f 2 7)
% (binary-posweight-order 28 #f 2 7)
% (binary-unit 62 #f)
% (hyper 159 #f)
% (binary-posweight-order 154 #f)
% (binary-weightorder 28 #f)
% (binary-order 28 #f)
% (binary 28 #t)
% 
% 
% **** EMPTY CLAUSE DERIVED ****
% 
% 
% timer checkpoints: c(8,40,0,16,0,0,4414,50,16,4422,0,16)
% 
% 
% START OF PROOF
% 4415 [] product(identity,X,X).
% 4416 [] product(inverse(X),X,identity).
% 4419 [] -product(X,Y,Z) | -product(U,V,X) | -product(V,Y,W) | product(U,W,Z).
% 4420 [] -product(X,Y,Z) | -product(X,U,V) | -product(U,W,Y) | product(V,W,Z).
% 4422 [] -product(a,identity,a).
% 4444 [hyper:4419,4416,4415,4416] product(inverse(inverse(X)),identity,X).
% 4766 [hyper:4420,4444,4444,4415,slowcut:4422] 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 7
% clause depth limited to 3
% seconds given: 57
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    56
%  derived clauses:   25052
%  kept clauses:      127
%  kept size sum:     922
%  kept mid-nuclei:   4608
%  kept new demods:   0
%  forw unit-subs:    9798
%  forw double-subs: 0
%  forw overdouble-subs: 0
%  backward subs:     3
%  fast unit cutoff:  0
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.18
%  process. runtime:  0.17
% specific non-discr-tree subsumption statistics: 
%  tried:           187
%  length fails:    0
%  strength fails:  11
%  predlist fails:  26
%  aux str. fails:  94
%  by-lit fails:    0
%  full subs tried: 56
%  full subs fail:  56
% 
% ; 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/GRP/GRP003-2+noeq.in")
% 
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