TSTP Solution File: SWV318-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SWV318-2 : 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 : art07.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/SystemOnTPTP3737/SWV/SWV318-2+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: neq
% detected subclass: medium
%
% strategies selected:
% (hyper 25 #f 7 5)
% (binary-unit 9 #f 7 5)
% (binary-double 9 #f 7 5)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 7 5)
% (binary-order 25 #f 7 5)
% (binary-posweight-order 101 #f)
% (binary-posweight-lex-big-order 25 #f)
% (binary-posweight-lex-small-order 9 #f)
% (binary-order-sos 50 #t)
% (binary-unit-uniteq 25 #f)
% (binary-weightorder 50 #f)
% (binary-order 50 #f)
% (hyper-order 30 #f)
% (binary 112 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(15,40,0,30,0,0,266,50,2,281,0,2)
%
%
% START OF PROOF
% 268 [] 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).
% 269 [] -c_in(c_^message_^omsg_^o^m^pair(X,Y),c_^message_^oparts(Z),tc_^message_^omsg) | c_in(Y,c_^message_^oparts(Z),tc_^message_^omsg).
% 270 [] -c_in(c_^message_^omsg_^o^m^pair(X,Y),c_^message_^oparts(Z),tc_^message_^omsg) | c_in(X,c_^message_^oparts(Z),tc_^message_^omsg).
% 271 [] c_in(X,c_^message_^oparts(Y),tc_^message_^omsg) | -c_in(X,Y,tc_^message_^omsg).
% 272 [] equal(c_^message_^oparts(c_^message_^oanalz(X)),c_^message_^oparts(X)).
% 273 [] equal(c_^message_^oparts(c_insert(X,Y,tc_^message_^omsg)),c_^message_^oparts(Y)) | -c_in(X,c_^message_^oparts(Y),tc_^message_^omsg).
% 274 [] 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)).
% 275 [] 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).
% 277 [] c_in(v_evs4,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 278 [] 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).
% 279 [] -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).
% 280 [] -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).
% 281 [] 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).
% 286 [hyper:274,278,cut:277] 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).
% 300 [hyper:275,281] 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).
% 335 [hyper:268,286] 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).
% 337 [hyper:271,335,demod:272] 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_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 339 [hyper:269,337] 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_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 375 [hyper:271,300] 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_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,X)),tc_^message_^omsg).
% 434 [hyper:270,339] c_in(v_^x,c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 439 [hyper:273,434] equal(c_^message_^oparts(c_insert(v_^x,c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4),tc_^message_^omsg)),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4))).
% 693 [hyper:279,375,demod:439,binarycut:279] c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 694 [hyper:280,375,cut:693] c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^a)),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,X)),tc_^message_^omsg).
% 695 [hyper:280,693,demod:439,cut:694] 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: 25
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 281
% derived clauses: 2040
% kept clauses: 495
% kept size sum: 10564
% kept mid-nuclei: 66
% kept new demods: 52
% forw unit-subs: 483
% forw double-subs: 536
% forw overdouble-subs: 0
% backward subs: 123
% fast unit cutoff: 4
% full unit cutoff: 0
% dbl unit cutoff: 1
% real runtime : 0.6
% process. runtime: 0.4
% specific non-discr-tree subsumption statistics:
% tried: 0
% length fails: 0
% strength fails: 0
% 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/SystemOnTPTP3737/SWV/SWV318-2+eq_r.in")
% Killed 1 orphans
%
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