TSTP Solution File: SWV323-2 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SWV323-2 : 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/SystemOnTPTP22773/SWV/SWV323-2+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: nne
% detected subclass: medium
% 
% strategies selected: 
% (hyper 27 #f 7 5)
% (binary-unit 10 #f 7 5)
% (binary-double 16 #f 7 5)
% (binary 54 #t 7 5)
% (binary-order 27 #f 7 5)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(17,40,0,34,0,0,694,50,3,711,0,3)
% 
% 
% START OF PROOF
% 695 [] c_in(X,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,Y)),tc_^message_^omsg) | -c_in(c_^event_^oevent_^o^says(Z,U,X),c_^list_^oset(Y,tc_^event_^oevent),tc_^event_^oevent).
% 696 [] c_in(X,c_union(c_^message_^osynth(c_^message_^oanalz(Y)),c_^message_^oparts(Y),tc_^message_^omsg),tc_^message_^omsg) | -c_in(X,c_^message_^oparts(c_insert(Z,Y,tc_^message_^omsg)),tc_^message_^omsg) | -c_in(Z,c_^message_^osynth(c_^message_^oanalz(Y)),tc_^message_^omsg).
% 697 [] -c_in(c_^message_^omsg_^o^key(X),c_^message_^osynth(Y),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^key(X),Y,tc_^message_^omsg).
% 698 [] -c_in(c_^message_^omsg_^o^m^pair(X,Y),c_^message_^osynth(c_^message_^oanalz(Z)),tc_^message_^omsg) | c_in(X,c_^message_^osynth(c_^message_^oanalz(Z)),tc_^message_^omsg).
% 699 [] -c_in(c_^message_^omsg_^o^m^pair(X,Y),c_^message_^osynth(c_^message_^oanalz(Z)),tc_^message_^omsg) | c_in(Y,c_^message_^osynth(c_^message_^oanalz(Z)),tc_^message_^omsg).
% 700 [] -c_in(X,c_^message_^oanalz(Y),tc_^message_^omsg) | c_in(X,c_^message_^oparts(Y),tc_^message_^omsg).
% 701 [] c_in(X,c_^message_^oparts(Y),tc_^message_^omsg) | -c_in(X,Y,tc_^message_^omsg).
% 702 [] c_in(X,c_^message_^osynth(Y),tc_^message_^omsg) | -c_in(X,Y,tc_^message_^omsg).
% 703 [] c_in(c_^event_^oevent_^o^says(v_sko__usf(X,Y,Z),X,Y),c_^list_^oset(Z,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^event_^oevent_^o^gets(X,Y),c_^list_^oset(Z,tc_^event_^oevent),tc_^event_^oevent) | -c_in(Z,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 704 [] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(X)),c_^event_^oknows(c_^message_^oagent_^o^spy,Y),tc_^message_^omsg) | -c_in(X,c_^event_^obad,tc_^message_^oagent).
% 705 [] -c_in(X,c_union(Y,Z,U),U) | c_in(X,Z,U) | c_in(X,Y,U).
% 706 [] c_in(X,c_insert(Y,Z,U),U) | -c_in(X,Z,U).
% 707 [] c_in(v_evs4,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 708 [] c_in(c_^event_^oevent_^o^gets(v_^b,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(v_^x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evs4,tc_^event_^oevent),tc_^event_^oevent).
% 709 [] -c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg) | c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 710 [] -c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oparts(c_insert(v_^x,c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4),tc_^message_^omsg)),tc_^message_^omsg) | -c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 711 [] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oparts(c_insert(v_^x,c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4),tc_^message_^omsg)),tc_^message_^omsg) | c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 718 [hyper:703,708,cut:707] c_in(c_^event_^oevent_^o^says(v_sko__usf(v_^b,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(v_^x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^key(v_^k))))),v_evs4),v_^b,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(v_^x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evs4,tc_^event_^oevent),tc_^event_^oevent).
% 734 [hyper:704,711] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oparts(c_insert(v_^x,c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4),tc_^message_^omsg)),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^event_^oknows(c_^message_^oagent_^o^spy,X),tc_^message_^omsg).
% 809 [hyper:695,718] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(v_^x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^key(v_^k))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 813 [hyper:702,809] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(v_^x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^key(v_^k))))),c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4))),tc_^message_^omsg).
% 869 [hyper:706,734] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oparts(c_insert(v_^x,c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4),tc_^message_^omsg)),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_insert(X,c_^event_^oknows(c_^message_^oagent_^o^spy,Y),tc_^message_^omsg),tc_^message_^omsg).
% 881 [hyper:699,813] c_in(c_^message_^omsg_^o^m^pair(v_^x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^key(v_^k)))),c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4))),tc_^message_^omsg).
% 1156 [hyper:698,881] c_in(v_^x,c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4))),tc_^message_^omsg).
% 1163 [hyper:696,1156,711] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_union(c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg),tc_^message_^omsg) | c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 1690 [hyper:705,1163,binarycut:709] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4))),tc_^message_^omsg) | c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 1700 [hyper:697,1690] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg) | c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 1713 [hyper:700,1700,binarycut:709] c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 1722 [hyper:710,869,cut:1713] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_insert(X,c_^event_^oknows(c_^message_^oagent_^o^spy,Y),tc_^message_^omsg),tc_^message_^omsg).
% 1735 [hyper:701,1722] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oparts(c_insert(X,c_^event_^oknows(c_^message_^oagent_^o^spy,Y),tc_^message_^omsg)),tc_^message_^omsg).
% 1761 [hyper:710,1735,cut:1713] 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 8
% seconds given: 27
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    596
%  derived clauses:   5980
%  kept clauses:      1252
%  kept size sum:     26245
%  kept mid-nuclei:   252
%  kept new demods:   0
%  forw unit-subs:    650
%  forw double-subs: 1966
%  forw overdouble-subs: 0
%  backward subs:     408
%  fast unit cutoff:  6
%  full unit cutoff:  0
%  dbl  unit cutoff:  2
%  real runtime  :  0.22
%  process. runtime:  0.10
% 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:  2
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP22773/SWV/SWV323-2+noeq.in")
% 
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