%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : ANA016-2 : TPTP v3.4.2. Released v3.2.0.
% 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 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.11-1.1369_FC4
% 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: /tmp/SystemOnTPTP15270/ANA/ANA016-2+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: small
% 
% strategies selected: 
% (hyper 27 #f 4 5)
% (binary-unit 10 #f 4 5)
% (binary-double 10 #f 4 5)
% (binary-double 16 #f)
% (binary-double 10 #t)
% (binary 16 #t 4 5)
% (binary-order 27 #f 4 5)
% (binary-posweight-order 125 #f)
% (binary-posweight-lex-big-order 43 #f)
% (binary-posweight-lex-small-order 16 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 54 #f)
% (binary-weightorder 65 #f)
% (binary-order 27 #f)
% (hyper-order 37 #f)
% (binary 63 #t)
% 
% 
% **** EMPTY CLAUSE DERIVED ****
% 
% 
% timer checkpoints: c(10,40,0,20,0,0)
% 
% 
% START OF PROOF
% 12 [] equal(c_times(c_1,X,Y),X) | -class_^ordered^group_^omonoid__mult(Y).
% 13 [] equal(c_times(c_times(X,Y,Z),U,Z),c_times(X,c_times(Y,U,Z),Z)) | -class_^ordered^group_^osemigroup__mult(Z).
% 14 [] equal(c_times(X,c_^h^o^l_^oinverse(X,Y),Y),c_1) | equal(X,c_0) | -class_^ring__and__^field_^ofield(Y).
% 15 [] -class_^ring__and__^field_^ofield(X) | class_^ordered^group_^omonoid__mult(X).
% 16 [] -class_^ring__and__^field_^ofield(X) | class_^ordered^group_^osemigroup__mult(X).
% 17 [] -class_^ring__and__^field_^oordered__field(X) | class_^ring__and__^field_^ofield(X).
% 18 [] -equal(v_c,c_0).
% 19 [] -equal(v_g(v_x),c_times(v_c,c_times(c_^h^o^l_^oinverse(v_c,t_a),v_g(v_x),t_a),t_a)).
% 20 [] class_^ring__and__^field_^oordered__field(t_a).
% 21 [hyper:17,20] class_^ring__and__^field_^ofield(t_a).
% 22 [hyper:14,21] equal(c_times(X,c_^h^o^l_^oinverse(X,t_a),t_a),c_1) | equal(X,c_0).
% 23 [hyper:15,21] class_^ordered^group_^omonoid__mult(t_a).
% 24 [hyper:16,21] class_^ordered^group_^osemigroup__mult(t_a).
% 25 [hyper:12,23] equal(c_times(c_1,X,t_a),X).
% 26 [hyper:13,24] equal(c_times(c_times(X,Y,t_a),Z,t_a),c_times(X,c_times(Y,Z,t_a),t_a)).
% 31 [hyper:18,22] equal(c_times(v_c,c_^h^o^l_^oinverse(v_c,t_a),t_a),c_1).
% 35 [para:31.1.1,26.1.1.1,demod:25,slowcut:19] 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 5
% clause depth limited to 4
% seconds given: 27
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    16
%  derived clauses:   25
%  kept clauses:      7
%  kept size sum:     46
%  kept mid-nuclei:   0
%  kept new demods:   3
%  forw unit-subs:    10
%  forw double-subs: 1
%  forw overdouble-subs: 0
%  backward subs:     0
%  fast unit cutoff:  0
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.2
%  process. runtime:  0.0
% 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" "/tmp/SystemOnTPTP15270/ANA/ANA016-2+eq_r.in")
% 
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