%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : HWV020-1 : TPTP v3.4.2. Released v2.5.0.
% 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 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/HWV/HWV020-1+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: medium
% 
% strategies selected: 
% (hyper 25 #f 3 13)
% (binary-unit 9 #f 3 13)
% (binary-double 9 #f 3 13)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 3 13)
% (binary-order 25 #f 3 13)
% (binary-posweight-order 101 #f)
% (binary-posweight-lex-big-order 25 #f)
% (binary-posweight-lex-small-order 9 #f)
% (binary-order-sos 50 #t)
% (binary-unit-uniteq 25 #f)
% (binary-weightorder 50 #f)
% (binary-order 50 #f)
% (hyper-order 30 #f)
% (binary 112 #t)
% 
% 
% SOS clause 
% -p_^empty(plus(t_139,n1)) | -p_^rd_error(plus(t_139,n1)).
% was split for some strategies as: 
% -p_^empty(plus(t_139,n1)).
% -p_^rd_error(plus(t_139,n1)).
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(96,40,1,192,0,1)
% 
% 
% START OF PROOF
% 105 [] gt(plus(X,n1),plus(Y,n1)) | -gt(X,Y).
% 112 [] gt(X,n0) | equal(X,n0).
% 114 [] -gt(X,X).
% 116 [] equal(plus(n0,X),X).
% 121 [] -equal(level(X),n0) | p_^empty(X).
% 122 [] equal(level(X),n0) | -p_^empty(X).
% 173 [] p_^rd_error(plus(X,n1)) | gt(level(X),n0) | -p_^rd(X) | p_^wr(X) | p_^reset(X).
% 175 [] equal(level(plus(X,n1)),level(X)) | gt(level(X),n0) | -p_^rd(X) | p_^wr(X) | p_^reset(X).
% 188 [] p_^rd(t_139).
% 189 [] p_^empty(t_139).
% 190 [] -p_^wr(t_139).
% 191 [] -p_^reset(t_139).
% 192 [] -p_^rd_error(plus(t_139,n1)) | -p_^empty(plus(t_139,n1)).
% 199 [hyper:173,188,cut:190,cut:191] p_^rd_error(plus(t_139,n1)) | gt(level(t_139),n0).
% 201 [hyper:175,188,cut:190,cut:191] equal(level(plus(t_139,n1)),level(t_139)) | gt(level(t_139),n0).
% 204 [hyper:122,189] equal(level(t_139),n0).
% 215 [hyper:105,199,demod:116,204,cut:114] p_^rd_error(plus(t_139,n1)).
% 268 [hyper:121,112] gt(level(X),n0) | p_^empty(X).
% 284 [hyper:192,268,cut:215] gt(level(plus(t_139,n1)),n0).
% 576 [hyper:105,201,demod:116,204,cut:114] equal(level(plus(t_139,n1)),n0).
% 581 [para:576.1.1,284.1.1,cut:114] 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 13
% clause depth limited to 3
% seconds given: 12
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    54
%  derived clauses:   811
%  kept clauses:      116
%  kept size sum:     1414
%  kept mid-nuclei:   231
%  kept new demods:   6
%  forw unit-subs:    289
%  forw double-subs: 73
%  forw overdouble-subs: 38
%  backward subs:     4
%  fast unit cutoff:  24
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.4
%  process. runtime:  0.2
% specific non-discr-tree subsumption statistics: 
%  tried:           578
%  length fails:    16
%  strength fails:  59
%  predlist fails:  150
%  aux str. fails:  51
%  by-lit fails:    0
%  full subs tried: 301
%  full subs fail:  264
% 
% ; 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/HWV/HWV020-1+eq_r.in")
% 
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