%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : GRP037-3 : 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 : art10.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/GRP/GRP037-3+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 7)
% (binary-posweight-order 29 #f 2 7)
% (binary-unit 29 #f 2 7)
% (binary-double 29 #f 2 7)
% (binary 29 #t 2 7)
% (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(20,40,0,40,0,0,2841,50,9,2861,0,9)
% 
% 
% START OF PROOF
% 2843 [] product(identity,X,X).
% 2844 [] product(X,identity,X).
% 2846 [] product(X,inverse(X),identity).
% 2849 [] -product(X,Y,Z) | -product(U,V,X) | -product(V,Y,W) | product(U,W,Z).
% 2850 [] -product(X,Y,Z) | -product(X,U,V) | -product(U,W,Y) | product(V,W,Z).
% 2852 [] product(another_identity,X,X) | -subgroup_member(X).
% 2853 [] product(X,another_identity,X) | -subgroup_member(X).
% 2854 [] product(X,another_inverse(X),another_identity) | -subgroup_member(X).
% 2857 [] -product(X,U,Z) | -product(X,Y,Z) | equal(U,Y).
% 2858 [] -product(U,Y,Z) | -product(X,Y,Z) | equal(U,X).
% 2859 [] subgroup_member(a).
% 2860 [] subgroup_member(another_identity).
% 2861 [] -equal(inverse(a),another_inverse(a)).
% 2862 [hyper:2852,2859] product(another_identity,a,a).
% 2864 [hyper:2854,2859] product(a,another_inverse(a),another_identity).
% 2972 [hyper:2858,2862,2843] equal(another_identity,identity).
% 3029 [para:2972.1.1,2860.1.1] subgroup_member(identity).
% 3038 [hyper:2853,3029] product(identity,another_identity,identity).
% 3223 [hyper:2850,3038,2844,2844] product(X,another_identity,X).
% 3601 [hyper:2849,2846,3223,2843] product(X,inverse(X),another_identity).
% 3731 [hyper:2857,3601,2864,cut:2861] 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 7
% clause depth limited to 3
% seconds given: 58
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    109
%  derived clauses:   14368
%  kept clauses:      148
%  kept size sum:     797
%  kept mid-nuclei:   3504
%  kept new demods:   17
%  forw unit-subs:    9456
%  forw double-subs: 0
%  forw overdouble-subs: 0
%  backward subs:     20
%  fast unit cutoff:  8
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.13
%  process. runtime:  0.12
% specific non-discr-tree subsumption statistics: 
%  tried:           225
%  length fails:    0
%  strength fails:  139
%  predlist fails:  42
%  aux str. fails:  44
%  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/GRP/GRP037-3+eq_r.in")
% 
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