TSTP Solution File: SWV359-2 by Gandalf---c-2.6
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%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SWV359-2 : 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 : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% 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/SystemOnTPTP13419/SWV/SWV359-2+eq_r.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: heq
% detected subclass: medium
% detected subclass: long
%
% strategies selected:
% (hyper 58 #f 7 7)
% (binary-posweight-order 29 #f 7 7)
% (binary-unit 29 #f 7 7)
% (binary-double 29 #f 7 7)
% (binary 29 #t 7 7)
% (hyper 29 #t)
% (hyper 105 #f)
% (binary-unit-uniteq 17 #f)
% (binary-weightorder 23 #f)
% (binary-posweight-order 70 #f)
% (binary-posweight-lex-big-order 29 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order 29 #f)
% (binary-unit 46 #f)
% (binary 67 #t)
%
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(11,40,0,22,0,0)
%
%
% START OF PROOF
% 13 [] -c_in(c_^event_^oevent_^o^says(X,Y,Z),c_^list_^oset(U,tc_^event_^oevent),tc_^event_^oevent) | c_in(Z,c_^event_^oknows(c_^message_^oagent_^o^spy,U),tc_^message_^omsg).
% 14 [] -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).
% 15 [] c_in(X,c_^message_^oparts(Y),tc_^message_^omsg) | -c_in(X,Y,tc_^message_^omsg).
% 16 [] equal(c_^message_^oparts(c_^message_^oanalz(X)),c_^message_^oparts(X)).
% 17 [] c_in(X,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,Y)),tc_^message_^omsg) | -c_in(c_^event_^oevent_^o^gets(Z,X),c_^list_^oset(Y,tc_^event_^oevent),tc_^event_^oevent) | -c_in(Y,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)).
% 18 [] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(Z),U))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(W),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X1),c_^message_^omsg_^o^m^pair(X2,c_^message_^omsg_^o^nonce(Z)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^nonce(Z),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(V,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)).
% 19 [] c_in(v_evs3,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)).
% 20 [] c_in(c_^event_^oevent_^o^gets(c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^nonce(v_^n^ba)))))),c_^list_^oset(v_evs3,tc_^event_^oevent),tc_^event_^oevent).
% 21 [] c_in(c_^event_^oevent_^o^says(v_^b,c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^b),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^nonce(v_^n^b)))))),c_^list_^oset(v_evs3,tc_^event_^oevent),tc_^event_^oevent).
% 22 [] -c_in(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 26 [hyper:17,20,cut:19] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^nonce(v_^n^ba))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 30 [hyper:15,26,demod:16] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^nonce(v_^n^ba))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 31 [hyper:14,30] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^nonce(v_^n^ba)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 33 [hyper:13,21] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^b),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^nonce(v_^n^b))))),c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3),tc_^message_^omsg).
% 39 [hyper:15,33] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^b),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^nonce(v_^n^b))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 45 [hyper:14,39] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^nonce(v_^n^b)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 50 [hyper:18,45,cut:19,slowcut:31] c_in(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 54 [hyper:22,50] 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: 58
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 21
% derived clauses: 45
% kept clauses: 15
% kept size sum: 267
% kept mid-nuclei: 9
% kept new demods: 1
% forw unit-subs: 15
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 9
% full unit cutoff: 2
% 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/SystemOnTPTP13419/SWV/SWV359-2+eq_r.in")
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