%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : ANA010-2 : 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 39.8s
% Output   : Assurance 39.8s
% 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/SystemOnTPTP14949/ANA/ANA010-2+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: heq
% detected subclass: small
% detected subclass: long
% 
% strategies selected: 
% (hyper 57 #f 5 7)
% (binary-posweight-order 28 #f 5 7)
% (binary-unit 28 #f 5 7)
% (hyper 188 #f)
% (binary-unit-uniteq 16 #f)
% (binary-weightorder 22 #f)
% (binary-posweight-order 114 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 28 #f)
% (binary 22 #t)
% (binary-unit 58 #f)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(10,40,0,20,0,0,67,50,0,77,0,0,252,50,12,262,0,12,15548,4,4214)
% 
% 
% START OF PROOF
% 254 [] equal(c_^h^o^l_^oabs(X,Y),X) | -c_lessequals(c_0,X,Y) | -class_^ordered^group_^olordered__ab__group__abs(Y).
% 255 [] -c_lessequals(X,Y,Z) | -c_lessequals(Y,U,Z) | c_lessequals(X,U,Z) | -class_^orderings_^oorder(Z).
% 256 [] equal(c_^h^o^l_^oabs(c_times(X,Y,Z),Z),c_times(c_^h^o^l_^oabs(X,Z),c_^h^o^l_^oabs(Y,Z),Z)) | -class_^ring__and__^field_^oordered__idom(Z).
% 257 [] -class_^ordered^group_^olordered__ab__group__abs(X) | class_^orderings_^oorder(X).
% 258 [] -class_^ring__and__^field_^oordered__idom(X) | class_^ordered^group_^olordered__ab__group__abs(X).
% 259 [] c_lessequals(c_0,v_f(X),t_b).
% 260 [] c_lessequals(v_f(X),c_times(v_c,v_g(X),t_b),t_b).
% 261 [] -c_lessequals(v_f(v_x(X)),c_times(X,c_^h^o^l_^oabs(v_g(v_x(X)),t_b),t_b),t_b).
% 262 [] class_^ring__and__^field_^oordered__idom(t_b).
% 264 [hyper:258,262] class_^ordered^group_^olordered__ab__group__abs(t_b).
% 266 [hyper:257,264] class_^orderings_^oorder(t_b).
% 275 [hyper:255,260,259,cut:266] c_lessequals(c_0,c_times(v_c,v_g(X),t_b),t_b).
% 276 [hyper:254,275,cut:264] equal(c_^h^o^l_^oabs(c_times(v_c,v_g(X),t_b),t_b),c_times(v_c,v_g(X),t_b)).
% 15551 [para:256.1.2,261.1.2,cut:262] -c_lessequals(v_f(v_x(c_^h^o^l_^oabs(X,t_b))),c_^h^o^l_^oabs(c_times(X,v_g(v_x(c_^h^o^l_^oabs(X,t_b))),t_b),t_b),t_b).
% 15589 [para:276.1.1,15551.1.2,cut:260] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% not using sos 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 7
% seconds given: 57
% 
% 
% old unit clauses discarded
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    2874
%  derived clauses:   590113
%  kept clauses:      15458
%  kept size sum:     0
%  kept mid-nuclei:   67
%  kept new demods:   15421
%  forw unit-subs:    18388
%  forw double-subs: 22
%  forw overdouble-subs: 10
%  backward subs:     0
%  fast unit cutoff:  89
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  44.20
%  process. runtime:  44.2
% specific non-discr-tree subsumption statistics: 
%  tried:           16
%  length fails:    0
%  strength fails:  6
%  predlist fails:  0
%  aux str. fails:  0
%  by-lit fails:    0
%  full subs tried: 10
%  full subs fail:  0
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP14949/ANA/ANA010-2+eq_r.in")
% WARNING: TreeLimitedRun lost 39.77s, total lost is 39.77s
% 
%------------------------------------------------------------------------------