%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : ANA043-2 : 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 : art10.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% 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/SystemOnTPTP2041/ANA/ANA043-2+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 7 7)
% (binary-posweight-order 28 #f 7 7)
% (binary-unit 28 #f 7 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)
% 
% 
% START OF PROOF
% 12 [] c_lessequals(c_0,c_^h^o^l_^oabs(X,Y),Y) | -class_^ordered^group_^olordered__ab__group__abs(Y).
% 13 [] equal(c_times(X,c_times(Y,Z,U),U),c_times(Y,c_times(X,Z,U),U)) | -class_^ordered^group_^oab__semigroup__mult(U).
% 14 [] c_lessequals(c_times(X,Y,Z),c_times(X,U,Z),Z) | -c_lessequals(c_0,X,Z) | -c_lessequals(Y,U,Z) | -class_^ring__and__^field_^opordered__semiring(Z).
% 15 [] -class_^ring__and__^field_^oordered__idom(X) | class_^ordered^group_^oab__semigroup__mult(X).
% 16 [] -class_^ring__and__^field_^oordered__idom(X) | class_^ring__and__^field_^opordered__semiring(X).
% 17 [] -class_^ring__and__^field_^oordered__idom(X) | class_^ordered^group_^olordered__ab__group__abs(X).
% 18 [] c_lessequals(c_^h^o^l_^oabs(v_f(X),t_b),c_times(v_c,c_^h^o^l_^oabs(v_h(X),t_b),t_b),t_b).
% 19 [] -c_lessequals(c_times(c_^h^o^l_^oabs(v_l(v_x(X),v_xa(X)),t_b),c_^h^o^l_^oabs(v_f(v_k(v_x(X),v_xa(X))),t_b),t_b),c_times(X,c_times(c_^h^o^l_^oabs(v_l(v_x(X),v_xa(X)),t_b),c_^h^o^l_^oabs(v_h(v_k(v_x(X),v_xa(X))),t_b),t_b),t_b),t_b).
% 20 [] class_^ring__and__^field_^oordered__idom(t_b).
% 21 [hyper:15,20] class_^ordered^group_^oab__semigroup__mult(t_b).
% 22 [hyper:16,20] class_^ring__and__^field_^opordered__semiring(t_b).
% 23 [hyper:17,20] class_^ordered^group_^olordered__ab__group__abs(t_b).
% 24 [hyper:13,21] equal(c_times(X,c_times(Y,Z,t_b),t_b),c_times(Y,c_times(X,Z,t_b),t_b)).
% 26 [hyper:12,23] c_lessequals(c_0,c_^h^o^l_^oabs(X,t_b),t_b).
% 32 [hyper:14,26,18,cut:22] c_lessequals(c_times(c_^h^o^l_^oabs(X,t_b),c_^h^o^l_^oabs(v_f(Y),t_b),t_b),c_times(c_^h^o^l_^oabs(X,t_b),c_times(v_c,c_^h^o^l_^oabs(v_h(Y),t_b),t_b),t_b),t_b).
% 62 [para:24.1.1,32.1.2,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 7
% clause depth limited to 7
% seconds given: 57
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    18
%  derived clauses:   94
%  kept clauses:      25
%  kept size sum:     557
%  kept mid-nuclei:   9
%  kept new demods:   0
%  forw unit-subs:    53
%  forw double-subs: 0
%  forw overdouble-subs: 0
%  backward subs:     0
%  fast unit cutoff:  7
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.2
%  process. runtime:  0.0
% specific non-discr-tree subsumption statistics: 
%  tried:           2
%  length fails:    0
%  strength fails:  2
%  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/SystemOnTPTP2041/ANA/ANA043-2+eq_r.in")
% 
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