TSTP Solution File: SWV325-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SWV325-2 : 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 : art04.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/SystemOnTPTP14176/SWV/SWV325-2+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 5 5)
% (binary-unit 9 #f 5 5)
% (binary-double 9 #f 5 5)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 5 5)
% (binary-order 25 #f 5 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)
%
%
% SOS clause
% equal(v_^b,v_^c) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(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_evsf)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^c)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% was split for some strategies as:
% equal(v_^b,v_^c).
% -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(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_evsf)),tc_^message_^omsg).
% -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^c)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(13,40,0,26,0,0)
%
%
% START OF PROOF
% 15 [] -c_in(c_^message_^omsg_^o^crypt(X,Y),c_^message_^osynth(Z),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^crypt(X,Y),Z,tc_^message_^omsg) | c_in(c_^message_^omsg_^o^key(X),Z,tc_^message_^omsg).
% 16 [] 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).
% 17 [] -c_in(X,c_^message_^oanalz(Y),tc_^message_^omsg) | c_in(X,c_^message_^oparts(Y),tc_^message_^omsg).
% 18 [] -c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(X)),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,Y)),tc_^message_^omsg) | -c_in(Y,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 19 [] -c_in(X,c_union(Y,Z,U),U) | c_in(X,Z,U) | c_in(X,Y,U).
% 20 [] -c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 21 [] c_in(v_evsf,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 22 [] c_in(v_^x,c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf))),tc_^message_^omsg).
% 23 [] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^c)))),c_^message_^oparts(c_insert(v_^x,c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf),tc_^message_^omsg)),tc_^message_^omsg).
% 24 [] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(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_insert(v_^x,c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf),tc_^message_^omsg)),tc_^message_^omsg).
% 25 [] -equal(v_^b,v_^c).
% 26 [] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(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_evsf)),tc_^message_^omsg) | -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^c)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg) | equal(v_^b,v_^c).
% 29 [hyper:16,23,cut:22] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^c)))),c_union(c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg),tc_^message_^omsg).
% 34 [hyper:16,24,cut:22] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^b)))),c_union(c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg),tc_^message_^omsg).
% 36 [hyper:19,29] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^c)))),c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf))),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^c)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 37 [hyper:19,34] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(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_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf))),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(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_evsf)),tc_^message_^omsg).
% 42 [hyper:15,36,binarycut:17] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^agent(v_^c)))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg) | 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_evsf)),tc_^message_^omsg).
% 53 [hyper:15,37,binarycut:17] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(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_evsf)),tc_^message_^omsg) | 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_evsf)),tc_^message_^omsg).
% 69 [hyper:26,53,binarycut:42,cut:25] 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_evsf)),tc_^message_^omsg).
% 70 [hyper:17,69] 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_evsf)),tc_^message_^omsg).
% 71 [hyper:18,70,cut:21] c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 73 [hyper:20,71] 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 5
% seconds given: 12
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 25
% derived clauses: 65
% kept clauses: 18
% kept size sum: 389
% kept mid-nuclei: 12
% kept new demods: 0
% forw unit-subs: 3
% forw double-subs: 12
% forw overdouble-subs: 0
% backward subs: 3
% fast unit cutoff: 15
% full unit cutoff: 0
% dbl unit cutoff: 3
% real runtime : 0.2
% process. runtime: 0.0
% 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/SystemOnTPTP14176/SWV/SWV325-2+eq_r.in")
%
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