%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SWV281-2 : 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 : art05.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2795MHz
% 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/SystemOnTPTP20316/SWV/SWV281-2+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 2 5)
% (binary-unit 10 #f 2 5)
% (binary-double 10 #f 2 5)
% (binary-double 16 #f)
% (binary-double 10 #t)
% (binary 16 #t 2 5)
% (binary-order 27 #f 2 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(7,40,0,14,0,0,35,50,0,42,0,0)
% 
% 
% START OF PROOF
% 37 [] -equal(c_^list_^olist_^o^nil,c_^list_^olist_^o^cons(X,Y,Z)).
% 38 [] c_lessequals(X,c_plus(Y,X,tc_nat),tc_nat).
% 39 [] -equal(c_plus(X,Y,tc_nat),c_plus(Z,Y,tc_nat)) | equal(X,Z).
% 40 [] equal(c_plus(c_0,X,tc_nat),X).
% 41 [] -c_in(c_^message_^omsg_^o^nonce(X),c_^event_^oused(Y),tc_^message_^omsg) | -c_lessequals(v_sko__ur^x(Y),X,tc_nat).
% 42 [] c_in(c_^message_^omsg_^o^nonce(Y),c_^event_^oused(v_evs_^h),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^nonce(X),c_^event_^oused(v_evs),tc_^message_^omsg) | equal(X,Y).
% 43 [para:40.1.1,38.1.2] c_lessequals(X,X,tc_nat).
% 49 [hyper:41,42,38] equal(X,c_plus(Y,v_sko__ur^x(v_evs_^h),tc_nat)) | c_in(c_^message_^omsg_^o^nonce(X),c_^event_^oused(v_evs),tc_^message_^omsg).
% 50 [hyper:41,42,43] c_in(c_^message_^omsg_^o^nonce(X),c_^event_^oused(v_evs),tc_^message_^omsg) | equal(X,v_sko__ur^x(v_evs_^h)).
% 56 [hyper:41,50,38] equal(c_plus(X,v_sko__ur^x(v_evs),tc_nat),v_sko__ur^x(v_evs_^h)).
% 57 [hyper:41,50,43] equal(v_sko__ur^x(v_evs),v_sko__ur^x(v_evs_^h)).
% 58 [para:57.1.1,56.1.1.2] equal(c_plus(X,v_sko__ur^x(v_evs_^h),tc_nat),v_sko__ur^x(v_evs_^h)).
% 79 [hyper:39,49,demod:58,slowcut:37] c_in(c_^message_^omsg_^o^nonce(v_sko__ur^x(v_evs_^h)),c_^event_^oused(v_evs),tc_^message_^omsg).
% 82 [hyper:41,79,demod:57,cut:43] 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 3
% seconds given: 27
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    29
%  derived clauses:   132
%  kept clauses:      17
%  kept size sum:     163
%  kept mid-nuclei:   28
%  kept new demods:   6
%  forw unit-subs:    44
%  forw double-subs: 7
%  forw overdouble-subs: 1
%  backward subs:     0
%  fast unit cutoff:  1
%  full unit cutoff:  1
%  dbl  unit cutoff:  0
%  real runtime  :  0.2
%  process. runtime:  0.0
% specific non-discr-tree subsumption statistics: 
%  tried:           3
%  length fails:    0
%  strength fails:  0
%  predlist fails:  0
%  aux str. fails:  0
%  by-lit fails:    0
%  full subs tried: 3
%  full subs fail:  2
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP20316/SWV/SWV281-2+eq_r.in")
% 
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