%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : FLD009-3 : 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 : art01.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 20.0s
% Output   : Assurance 20.0s
% 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/FLD009-3+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(30,40,1,60,0,1,279288,4,2095,316548,5,2702,316549,1,2702,316549,50,2703,316549,40,2703,316579,0,2703)
% 
% 
% START OF PROOF
% 316555 [] -product(Y,U,V) | -product(Z,U,W) | -product(X,Y,Z) | product(X,V,W).
% 316557 [] product(multiplicative_identity,X,X) | -defined(X).
% 316558 [] product(multiplicative_inverse(X),X,multiplicative_identity) | sum(additive_identity,X,additive_identity) | -defined(X).
% 316559 [] -product(X,Y,Z) | product(Y,X,Z).
% 316567 [] defined(multiplicative_inverse(X)) | sum(additive_identity,X,additive_identity) | -defined(X).
% 316569 [] product(X,Y,multiply(X,Y)) | -defined(X) | -defined(Y).
% 316576 [] defined(a).
% 316577 [] defined(b).
% 316578 [] -sum(additive_identity,a,additive_identity).
% 316579 [] -product(a,X,b).
% 316738 [binary:316579,316555.4] -product(Y,Z,b) | -product(a,X,Y) | -product(X,Z,U).
% 316783 [binary:316577,316557.2] product(multiplicative_identity,b,b).
% 316809 [binary:316576,316558.3,cut:316578] product(multiplicative_inverse(a),a,multiplicative_identity).
% 316846 [binary:316809,316559] product(a,multiplicative_inverse(a),multiplicative_identity).
% 317083 [binary:316576,316567.3,cut:316578] defined(multiplicative_inverse(a)).
% 322946 [binary:316783,316738] -product(a,X,multiplicative_identity) | -product(X,b,Y).
% 322995 [binary:316846,322946] -product(multiplicative_inverse(a),b,X).
% 323080 [binary:316569,322995,cut:317083,cut:316577] 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:    1516
%  derived clauses:   585064
%  kept clauses:      27862
%  kept size sum:     364122
%  kept mid-nuclei:   294578
%  kept new demods:   0
%  forw unit-subs:    177143
%  forw double-subs: 59045
%  forw overdouble-subs: 8018
%  backward subs:     5
%  fast unit cutoff:  2728
%  full unit cutoff:  0
%  dbl  unit cutoff:  50
%  real runtime  :  27.65
%  process. runtime:  27.64
% specific non-discr-tree subsumption statistics: 
%  tried:           116458
%  length fails:    3623
%  strength fails:  3236
%  predlist fails:  68609
%  aux str. fails:  8234
%  by-lit fails:    737
%  full subs tried: 20133
%  full subs fail:  20025
% 
% ; 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/FLD009-3+noeq.in")
% 
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