TSTP Solution File: SWV283-2 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SWV283-2 : 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 : art01.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/SystemOnTPTP32484/SWV/SWV283-2+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: nne
% detected subclass: small
% 
% strategies selected: 
% (hyper 27 #f 3 7)
% (binary-unit 10 #f 3 7)
% (binary-double 16 #f)
% (binary 16 #t 3 7)
% (binary-posweight-order 181 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 54 #f)
% (binary-order 27 #f 3 7)
% (binary-weightorder 71 #f)
% (binary-order 27 #f)
% (hyper-order 54 #f)
% (binary 63 #t)
% 
% 
% SOS clause 
% c_in(c_^message_^omsg_^o^nonce(v_xd(X)),c_^event_^oused(v_list),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^nonce(v_xd(X)),c_^message_^oparts(c_insert(v_xc,c_emptyset,tc_^message_^omsg)),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^nonce(v_xd(Y)),c_^event_^oused(v_list),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^nonce(v_xd(Y)),c_^message_^oparts(c_insert(v_xc,c_emptyset,tc_^message_^omsg)),tc_^message_^omsg).
% was split for some strategies as: 
% c_in(c_^message_^omsg_^o^nonce(v_xd(Y)),c_^event_^oused(v_list),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^nonce(v_xd(Y)),c_^message_^oparts(c_insert(v_xc,c_emptyset,tc_^message_^omsg)),tc_^message_^omsg).
% c_in(c_^message_^omsg_^o^nonce(v_xd(X)),c_^event_^oused(v_list),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^nonce(v_xd(X)),c_^message_^oparts(c_insert(v_xc,c_emptyset,tc_^message_^omsg)),tc_^message_^omsg).
% 
% **** EMPTY CLAUSE DERIVED ****
% 
% 
% timer checkpoints: c(6,40,0,15,0,0,33,50,0,42,0,0)
% 
% 
% START OF PROOF
% 34 [] -c_in(c_^message_^omsg_^o^nonce(X),c_^message_^oparts(c_insert(Y,c_emptyset,tc_^message_^omsg)),tc_^message_^omsg) | -c_lessequals(v_sko__up^x(Y),X,tc_nat).
% 35 [] -c_lessequals(c_plus(X,Y,tc_nat),Z,tc_nat) | c_lessequals(Y,Z,tc_nat).
% 36 [] -c_lessequals(c_plus(X,Y,tc_nat),Z,tc_nat) | c_lessequals(X,Z,tc_nat).
% 37 [?] ?
% 38 [?] ?
% 39 [] -c_in(c_^message_^omsg_^o^nonce(X),c_^event_^oused(v_list),tc_^message_^omsg) | -c_lessequals(v_x,X,tc_nat).
% 43 [input:37,factor] c_in(c_^message_^omsg_^o^nonce(v_xd(X)),c_^message_^oparts(c_insert(v_xc,c_emptyset,tc_^message_^omsg)),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^nonce(v_xd(X)),c_^event_^oused(v_list),tc_^message_^omsg).
% 44 [input:38,factor] c_lessequals(X,v_xd(X),tc_nat).
% 48 [hyper:35,44] c_lessequals(X,v_xd(c_plus(Y,X,tc_nat)),tc_nat).
% 49 [hyper:36,44] c_lessequals(X,v_xd(c_plus(X,Y,tc_nat)),tc_nat).
% 55 [hyper:36,49] c_lessequals(X,v_xd(c_plus(c_plus(X,Y,tc_nat),Z,tc_nat)),tc_nat).
% 63 [hyper:39,43,48] c_in(c_^message_^omsg_^o^nonce(v_xd(c_plus(X,v_x,tc_nat))),c_^message_^oparts(c_insert(v_xc,c_emptyset,tc_^message_^omsg)),tc_^message_^omsg).
% 74 [hyper:34,63,slowcut:55] 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 4
% seconds given: 13
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    26
%  derived clauses:   139
%  kept clauses:      17
%  kept size sum:     174
%  kept mid-nuclei:   19
%  kept new demods:   0
%  forw unit-subs:    13
%  forw double-subs: 0
%  forw overdouble-subs: 0
%  backward subs:     8
%  fast unit cutoff:  0
%  full unit cutoff:  0
%  dbl  unit cutoff:  0
%  real runtime  :  0.11
%  process. runtime:  0.0
% specific non-discr-tree subsumption statistics: 
%  tried:           2
%  length fails:    0
%  strength fails:  0
%  predlist fails:  0
%  aux str. fails:  0
%  by-lit fails:    0
%  full subs tried: 2
%  full subs fail:  0
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP32484/SWV/SWV283-2+noeq.in")
% Killed 1 orphans
% 
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