TSTP Solution File: SWV298-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SWV298-2 : 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/SystemOnTPTP2430/SWV/SWV298-2+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 11 9)
% (binary-unit 9 #f 11 9)
% (binary-double 9 #f 11 9)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 11 9)
% (binary-order 25 #f 11 9)
% (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)
%
%
% SOS clause
% -equal(X,c_^message_^omsg_^o^nonce(v_^n^b)) | -equal(v_^b,v_^ba).
% was split for some strategies as:
% -equal(X,c_^message_^omsg_^o^nonce(v_^n^b)).
% -equal(v_^b,v_^ba).
%
% **** EMPTY CLAUSE DERIVED ****
%
%
% timer checkpoints: c(11,40,0,22,0,0)
%
%
% START OF PROOF
% 12 [] equal(X,X).
% 13 [] 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).
% 14 [] -c_in(X,c_^message_^oanalz(Y),tc_^message_^omsg) | c_in(X,c_^message_^oparts(Y),tc_^message_^omsg).
% 15 [] -c_in(c_^message_^omsg_^o^m^pair(X,Y),c_^message_^oanalz(Z),tc_^message_^omsg) | c_in(Y,c_^message_^oanalz(Z),tc_^message_^omsg).
% 16 [] -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).
% 17 [] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^agent(Z)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,U)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^agent(V)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,U)),tc_^message_^omsg) | -c_in(U,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent) | equal(Z,V).
% 18 [] -c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 19 [] c_in(v_evs3,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 20 [] c_in(c_^event_^oevent_^o^says(v_^a,v_^b,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^b),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))))))),c_^list_^oset(v_evs3,tc_^event_^oevent),tc_^event_^oevent).
% 21 [] c_in(c_^event_^oevent_^o^says(v_^aa,c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),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^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba)))))))))),c_^list_^oset(v_evs3,tc_^event_^oevent),tc_^event_^oevent).
% 22 [] -equal(v_^b,v_^ba) | -equal('X,c_^message_^omsg_^o^nonce(v_^n^b)).
% 28 [hyper:13,20] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^b),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b))))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 33 [hyper:15,28] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^b),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 35 [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_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 36 [hyper:13,21] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),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^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba))))))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 38 [hyper:15,35] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 39 [hyper:14,38] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 50 [hyper:15,36] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),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^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba)))))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 52 [hyper:15,50] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),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^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba))))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 54 [hyper:15,52] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),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^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba)))))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 55 [hyper:14,54] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),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^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba)))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 58 [hyper:16,55] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^ba)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs3)),tc_^message_^omsg).
% 62 [hyper:17,58,39,cut:19,cut:18] equal(v_^b,v_^ba).
% 83 [hyper:22,62,slowcut:12] 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 9
% clause depth limited to 11
% seconds given: 12
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 35
% derived clauses: 99
% kept clauses: 41
% kept size sum: 936
% kept mid-nuclei: 11
% kept new demods: 2
% forw unit-subs: 40
% forw double-subs: 0
% forw overdouble-subs: 0
% backward subs: 0
% fast unit cutoff: 10
% full unit cutoff: 1
% 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/SystemOnTPTP2430/SWV/SWV298-2+eq_r.in")
%
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