%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : RNG006-3 : 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 : art05.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/RNG/RNG006-3+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 2 9)
% (binary-posweight-order 29 #f 2 9)
% (binary-unit 29 #f 2 9)
% (binary-double 29 #f 2 9)
% (binary 29 #t 2 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(23,40,0,46,0,0)
% 
% 
% START OF PROOF
% 25 [] sum(additive_identity,X,X).
% 26 [] sum(X,additive_identity,X).
% 27 [] product(X,Y,multiply(X,Y)).
% 29 [] sum(additive_inverse(X),X,additive_identity).
% 30 [] sum(X,additive_inverse(X),additive_identity).
% 31 [] -sum(U,Y,V) | -sum(W,X,U) | -sum(X,Y,Z) | sum(W,Z,V).
% 32 [] -sum(U,Z,V) | -sum(U,X,W) | -sum(X,Y,Z) | sum(W,Y,V).
% 36 [] -product(X,U,V) | -product(X,W,X1) | -product(X,Y,Z) | -sum(W,Y,U) | sum(X1,Z,V).
% 37 [] -product(X,Y,Z) | -product(X,U,V) | -sum(Z,V,X1) | -sum(Y,U,W) | product(X,W,X1).
% 40 [] -sum(X,Y,U) | -sum(X,Y,Z) | equal(Z,U).
% 42 [] sum(b,additive_inverse(c),b^s_^ic).
% 43 [] product(a,b,a^pb).
% 44 [] product(a,c,a^pc).
% 45 [] sum(a^pb,additive_inverse(a^pc),a^pb_^s_^ia^pc).
% 46 [] -product(a,b^s_^ic,a^pb_^s_^ia^pc).
% 275 [hyper:32,29,42,26] sum(b^s_^ic,c,b).
% 452 [hyper:36,27,44,25,44] sum(multiply(a,additive_identity),a^pc,a^pc).
% 463 [hyper:36,27,43,44,275] sum(multiply(a,b^s_^ic),a^pc,a^pb).
% 4717 [hyper:31,452,30,30] sum(multiply(a,additive_identity),additive_identity,additive_identity).
% 4862 [hyper:31,463,30,45] sum(multiply(a,b^s_^ic),additive_identity,a^pb_^s_^ia^pc).
% 19589 [hyper:40,4717,26] equal(multiply(a,additive_identity),additive_identity).
% 19654 [para:19589.1.1,27.1.3] product(a,additive_identity,additive_identity).
% 21285 [hyper:37,4862,27,19654,26,cut:46] 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 9
% clause depth limited to 2
% seconds given: 58
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    125
%  derived clauses:   71915
%  kept clauses:      358
%  kept size sum:     2685
%  kept mid-nuclei:   20869
%  kept new demods:   10
%  forw unit-subs:    34563
%  forw double-subs: 905
%  forw overdouble-subs: 0
%  backward subs:     10
%  fast unit cutoff:  2
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.65
%  process. runtime:  0.65
% specific non-discr-tree subsumption statistics: 
%  tried:           7559
%  length fails:    0
%  strength fails:  2935
%  predlist fails:  4098
%  aux str. fails:  393
%  by-lit fails:    0
%  full subs tried: 133
%  full subs fail:  133
% 
% ; 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/RNG006-3+eq_r.in")
% 
%------------------------------------------------------------------------------