%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : BOO013-3 : 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 : art06.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/BOO/BOO013-3+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 3 9)
% (binary-posweight-order 29 #f 3 9)
% (binary-unit 29 #f 3 9)
% (binary-double 29 #f 3 9)
% (binary 29 #t 3 9)
% (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(29,40,0,58,0,0,697943,4,4584)
% 
% 
% START OF PROOF
% 31 [] sum(X,Y,add(X,Y)).
% 33 [] -sum(X,Y,Z) | sum(Y,X,Z).
% 34 [] -product(X,Y,Z) | product(Y,X,Z).
% 35 [] sum(additive_identity,X,X).
% 36 [] sum(X,additive_identity,X).
% 43 [] -product(X,Y,Z) | -sum(U,Z,X1) | -sum(U,X,W) | -sum(U,Y,V) | product(W,V,X1).
% 51 [] -sum(X,Y,U) | -sum(X,Y,Z) | equal(Z,U).
% 52 [] -product(X,Y,U) | -product(X,Y,Z) | equal(Z,U).
% 54 [] sum(x,y,multiplicative_identity).
% 55 [] sum(x,z,multiplicative_identity).
% 56 [] product(x,y,additive_identity).
% 57 [] product(x,z,additive_identity).
% 58 [] -equal(y,z).
% 200 [hyper:33,54] sum(y,x,multiplicative_identity).
% 399 [hyper:33,55] sum(z,x,multiplicative_identity).
% 515 [hyper:34,56] product(y,x,additive_identity).
% 661 [hyper:34,57] product(z,x,additive_identity).
% 974 [hyper:33,31] sum(X,Y,add(Y,X)).
% 1577 [hyper:51,31,35] equal(X,add(additive_identity,X)).
% 1578 [hyper:51,31,36] equal(X,add(X,additive_identity)).
% 1581 [hyper:51,31,200] equal(multiplicative_identity,add(y,x)).
% 1930 [hyper:43,515,31,31,399,demod:1578] product(add(z,y),multiplicative_identity,z).
% 16766 [hyper:43,974,31,974,661,demod:1577] product(add(z,X),add(X,x),X).
% 697944 [binary:52.3,58] -product(X,Y,y) | -product(X,Y,z).
% 698157 [binary:16766,697944,demod:1581,cut:1930] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% clause length limited to 9
% clause depth limited to 3
% seconds given: 58
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    125
%  derived clauses:   4831778
%  kept clauses:      4391
%  kept size sum:     42811
%  kept mid-nuclei:   692805
%  kept new demods:   49
%  forw unit-subs:    3922532
%  forw double-subs: 0
%  forw overdouble-subs: 0
%  backward subs:     3
%  fast unit cutoff:  202
%  full unit cutoff:  890
%  dbl  unit cutoff:  0
%  real runtime  :  45.86
%  process. runtime:  45.86
% specific non-discr-tree subsumption statistics: 
%  tried:           106957
%  length fails:    0
%  strength fails:  63594
%  predlist fails:  42355
%  aux str. fails:  707
%  by-lit fails:    0
%  full subs tried: 301
%  full subs fail:  301
% 
% ; 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/BOO/BOO013-3+eq_r.in")
% 
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