TSTP Solution File: SWV294-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SWV294-2 : 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/SystemOnTPTP2135/SWV/SWV294-2+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 9 5)
% (binary-unit 9 #f 9 5)
% (binary-double 9 #f 9 5)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 9 5)
% (binary-order 25 #f 9 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(14,40,0,28,0,0,79,50,0,93,0,0,144,50,0,158,0,1,209,50,1,223,0,1,274,50,1,288,0,1,339,50,1,353,0,1,404,50,2,418,0,2,469,50,2,483,0,2,534,50,2,548,0,2,599,50,2,613,0,2,664,50,3,678,0,3,729,50,3,743,0,3,794,50,3,808,0,3,859,50,3,859,40,3,873,0,3)
%
%
% START OF PROOF
% 861 [] c_in(c_^message_^oagent_^o^spy,c_^event_^obad,tc_^message_^oagent).
% 862 [] -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).
% 863 [] 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).
% 864 [] -c_in(X,c_^message_^oanalz(Y),tc_^message_^omsg) | c_in(X,c_^message_^oparts(Y),tc_^message_^omsg).
% 865 [] -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).
% 866 [] -c_in(X,c_union(Y,Z,U),U) | c_in(X,Z,U) | c_in(X,Y,U).
% 867 [] -c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 868 [] c_in(v_evsf,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 869 [] -c_in(c_^event_^oevent_^o^says(v_^a,v_^b,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^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(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_evsf,tc_^event_^oevent),tc_^event_^oevent) | c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,v_^b,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^key(v_^k))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_x,c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evsf,tc_^event_^oevent),tc_^event_^oevent) | -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^key(v_^k))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 870 [] c_in(v_^x,c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf))),tc_^message_^omsg).
% 871 [] c_in(c_^event_^oevent_^o^says(v_^a,v_^b,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^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(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_evsf,tc_^event_^oevent),tc_^event_^oevent) | equal(v_^a,c_^message_^oagent_^o^spy).
% 872 [] 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^key(v_^k))),c_^message_^oparts(c_insert(v_^x,c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf),tc_^message_^omsg)),tc_^message_^omsg) | equal(v_^a,c_^message_^oagent_^o^spy).
% 873 [] equal(v_^a,c_^message_^oagent_^o^spy) | -c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,v_^b,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^key(v_^k))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evsf,tc_^event_^oevent),tc_^event_^oevent).
% 882 [para:872.2.1,867.1.1,cut:861] 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^key(v_^k))),c_^message_^oparts(c_insert(v_^x,c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf),tc_^message_^omsg)),tc_^message_^omsg).
% 884 [para:871.2.1,867.1.1,cut:861] c_in(c_^event_^oevent_^o^says(v_^a,v_^b,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^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(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_evsf,tc_^event_^oevent),tc_^event_^oevent).
% 909 [para:873.1.1,867.1.1,cut:861] -c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,v_^b,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^key(v_^k))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evsf,tc_^event_^oevent),tc_^event_^oevent).
% 970 [binary:882,863.2,cut:870] 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^key(v_^k))),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).
% 1008 [binary:868,865.2] -c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(X)),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 1010 [binary:867,1008.2] -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).
% 1011 [binary:864.2,1010] -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).
% 1028 [binary:869,884,cut:909] -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^key(v_^k))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 1029 [binary:864.2,1028] -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^key(v_^k))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 1037 [binary:862.2,1029,cut:1011] -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^key(v_^k))),c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf))),tc_^message_^omsg).
% 2226 [binary:866,970,cut:1028,cut:1037] contradiction
% END OF PROOF
%
% Proof found by the following strategy:
%
% using binary resolution
% not using sos strategy
% using unit strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% clause length limited to 5
% clause depth limited to 9
% seconds given: 9
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 472
% derived clauses: 2350
% kept clauses: 1515
% kept size sum: 40909
% kept mid-nuclei: 130
% kept new demods: 13
% forw unit-subs: 113
% forw double-subs: 91
% forw overdouble-subs: 208
% backward subs: 268
% fast unit cutoff: 114
% full unit cutoff: 0
% dbl unit cutoff: 65
% real runtime : 0.9
% process. runtime: 0.7
% specific non-discr-tree subsumption statistics:
% tried: 339
% length fails: 13
% strength fails: 0
% predlist fails: 26
% aux str. fails: 0
% by-lit fails: 39
% full subs tried: 53
% full subs fail: 53
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP2135/SWV/SWV294-2+eq_r.in")
%
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