%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : RNG018-6 : 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 : art02.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
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%----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/RNG/RNG018-6+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: ueq
% 
% strategies selected: 
% (binary-posweight-kb-big-order 60 #f 5 1)
% (binary-posweight-lex-big-order 30 #f 5 1)
% (binary 30 #t)
% (binary-posweight-kb-big-order 180 #f)
% (binary-posweight-lex-big-order 120 #f)
% (binary-posweight-firstpref-order 60 #f)
% (binary-posweight-kb-small-order 60 #f)
% (binary-posweight-lex-small-order 60 #f)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(17,40,1,34,0,1)
% 
% 
% START OF PROOF
% 18 [] equal(X,X).
% 19 [] equal(add(additive_identity,X),X).
% 20 [] equal(add(X,additive_identity),X).
% 22 [] equal(multiply(X,additive_identity),additive_identity).
% 23 [] equal(add(additive_inverse(X),X),additive_identity).
% 24 [] equal(add(X,additive_inverse(X)),additive_identity).
% 26 [] equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))).
% 27 [] equal(multiply(add(X,Y),Z),add(multiply(X,Z),multiply(Y,Z))).
% 29 [] equal(add(X,add(Y,Z)),add(add(X,Y),Z)).
% 34 [] -equal(multiply(add(x,y),additive_inverse(z)),add(additive_inverse(multiply(x,z)),additive_inverse(multiply(y,z)))).
% 39 [para:23.1.1,29.1.2.1,demod:19] equal(add(additive_inverse(X),add(X,Y)),Y).
% 48 [para:26.1.2,39.1.1.2] equal(add(additive_inverse(multiply(X,Y)),multiply(X,add(Y,Z))),multiply(X,Z)).
% 307 [para:24.1.1,48.1.1.2.2,demod:20,22] equal(additive_inverse(multiply(X,Y)),multiply(X,additive_inverse(Y))).
% 322 [para:307.1.1,34.1.2.2,demod:27,307,cut:18] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using first neg lit preferred strategy
% not 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 1
% clause depth limited to 5
% seconds given: 60
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    62
%  derived clauses:   2170
%  kept clauses:      287
%  kept size sum:     4263
%  kept mid-nuclei:   0
%  kept new demods:   181
%  forw unit-subs:    1822
%  forw double-subs: 0
%  forw overdouble-subs: 0
%  backward subs:     0
%  fast unit cutoff:  2
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.3
%  process. runtime:  0.3
% specific non-discr-tree subsumption statistics: 
%  tried:           0
%  length fails:    0
%  strength fails:  0
%  predlist fails:  0
%  aux str. fails:  0
%  by-lit fails:    0
%  full subs tried: 0
%  full subs fail:  0
% 
% ; 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/RNG/RNG018-6+eq_r.in")
% 
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