%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : FLD023-1 : 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 : 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/FLD/FLD023-1+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 3 7)
% (binary-unit 10 #f 3 7)
% (binary-double 16 #f 3 7)
% (binary 54 #t 3 7)
% (binary-order 27 #f 3 7)
% (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(31,40,0,62,0,0,631043,4,2027,631300,50,2060,631300,40,2060,631331,0,2060,677628,3,2561,684903,4,2811,698034,5,3061,698035,5,3061,698035,1,3061,698035,50,3065,698035,40,3065,698066,0,3065,761212,3,3866,771403,4,4266,796183,5,4666,796183,1,4666,796183,50,4670,796183,40,4670,796214,0,4670)
% 
% 
% START OF PROOF
% 796186 [] equalish(add(X,additive_inverse(X)),additive_identity) | -defined(X).
% 796195 [] defined(additive_inverse(X)) | -defined(X).
% 796205 [] -equalish(X,Y) | equalish(Y,X).
% 796206 [] -equalish(X,Y) | -equalish(Y,Z) | equalish(X,Z).
% 796207 [] equalish(add(X,Y),add(Z,Y)) | -equalish(X,Z) | -defined(Y).
% 796211 [] defined(a).
% 796213 [] equalish(a,b).
% 796214 [] -equalish(additive_identity,add(b,additive_inverse(a))).
% 796219 [binary:796186.2,796211] equalish(add(a,additive_inverse(a)),additive_identity).
% 796234 [binary:796195.2,796211] defined(additive_inverse(a)).
% 796286 [binary:796207.3,796234] equalish(add(X,additive_inverse(a)),add(Y,additive_inverse(a))) | -equalish(X,Y).
% 796313 [binary:796206.3,796214] -equalish(X,add(b,additive_inverse(a))) | -equalish(additive_identity,X).
% 796520 [binary:796205,796219] equalish(additive_identity,add(a,additive_inverse(a))).
% 799984 [binary:796213,796286.2] equalish(add(a,additive_inverse(a)),add(b,additive_inverse(a))).
% 801593 [binary:796520,796313.2,cut:799984] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using sos 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 7
% clause depth limited to 3
% seconds given: 54
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    5509
%  derived clauses:   2507323
%  kept clauses:      202603
%  kept size sum:     61931
%  kept mid-nuclei:   39053
%  kept new demods:   0
%  forw unit-subs:    52386
%  forw double-subs: 179089
%  forw overdouble-subs: 16996
%  backward subs:     6
%  fast unit cutoff:  3969
%  full unit cutoff:  0
%  dbl  unit cutoff:  193
%  real runtime  :  47.5
%  process. runtime:  47.5
% specific non-discr-tree subsumption statistics: 
%  tried:           191922
%  length fails:    48
%  strength fails:  4208
%  predlist fails:  74868
%  aux str. fails:  16
%  by-lit fails:    800
%  full subs tried: 86119
%  full subs fail:  82232
% 
% ; 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/FLD023-1+noeq.in")
% 
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