TSTP Solution File: SWV308-2 by Gandalf---c-2.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SWV308-2 : 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 : art02.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/SystemOnTPTP26529/SWV/SWV308-2+noeq.in
% Using automatic strategy selection.
% Time limit in seconds: 600
%
% prove-all-passes started
%
% detected problem class: nne
% detected subclass: medium
%
% strategies selected:
% (hyper 27 #f 7 5)
% (binary-unit 10 #f 7 5)
% (binary-double 16 #f 7 5)
% (binary 54 #t 7 5)
% (binary-order 27 #f 7 5)
% (binary-posweight-order 125 #f)
% (binary-order-sos 54 #t)
% (binary-unit-uniteq 27 #f)
% (binary-weightorder 54 #f)
% (binary-order 54 #f)
% (hyper-order 43 #f)
% (binary 109 #t)
%
%
% SOS clause
% -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),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_evs4)),tc_^message_^omsg).
% was split for some strategies as:
% -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),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_evs4)),tc_^message_^omsg).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(16,40,0,32,0,0,55,50,0,71,0,0)
%
%
% START OF PROOF
% 56 [] 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).
% 57 [] -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).
% 58 [] 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).
% 59 [] -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).
% 60 [] -c_in(c_^message_^omsg_^o^m^pair(X,Y),c_^message_^oanalz(Z),tc_^message_^omsg) | c_in(X,c_^message_^oanalz(Z),tc_^message_^omsg).
% 61 [] -c_in(X,c_^message_^oanalz(Y),tc_^message_^omsg) | c_in(X,c_^message_^oparts(Y),tc_^message_^omsg).
% 62 [] c_in(X,c_^message_^osynth(Y),tc_^message_^omsg) | -c_in(X,Y,tc_^message_^omsg).
% 63 [] 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)).
% 64 [] -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).
% 65 [] -c_in(X,c_union(Y,Z,U),U) | c_in(X,Z,U) | c_in(X,Y,U).
% 66 [] -c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 67 [] c_in(v_evs4,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 68 [] c_in(c_^event_^oevent_^o^gets(v_^ba,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(v_^x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),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).
% 69 [] 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_evs4),tc_^message_^omsg)),tc_^message_^omsg).
% 70 [] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(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).
% 71 [] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),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_evs4)),tc_^message_^omsg).
% 77 [hyper:63,68,cut:67] c_in(c_^event_^oevent_^o^says(v_sko__usf(v_^ba,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(v_^x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^omsg_^o^key(v_^k))))),v_evs4),v_^ba,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(v_^x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),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).
% 98 [hyper:56,77] c_in(c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^m^pair(v_^x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),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).
% 99 [hyper:59,98] c_in(c_^message_^omsg_^o^m^pair(v_^x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^ba),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).
% 116 [hyper:60,99] c_in(v_^x,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 120 [hyper:62,116] c_in(v_^x,c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4))),tc_^message_^omsg).
% 123 [hyper:58,120,69] 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_evs4))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg),tc_^message_^omsg).
% 124 [hyper:58,120,70] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_union(c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg),tc_^message_^omsg).
% 157 [hyper:65,123] 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_evs4))),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_evs4)),tc_^message_^omsg).
% 162 [hyper:65,124] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4))),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_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),tc_^message_^omsg).
% 175 [hyper:57,157,binarycut:61] 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_evs4)),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_evs4)),tc_^message_^omsg).
% 210 [hyper:57,162,binarycut:61] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^a),c_^message_^omsg_^o^m^pair(v_^n^a_^h,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a_^h),c_^message_^omsg_^o^agent(v_^a))))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs4)),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_evs4)),tc_^message_^omsg).
% 249 [hyper:71,210,binarycut:175] 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_evs4)),tc_^message_^omsg).
% 252 [hyper:61,249] 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).
% 255 [hyper:64,252,cut:67] c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 257 [hyper:66,255] 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: 13
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 138
% derived clauses: 462
% kept clauses: 123
% kept size sum: 2412
% kept mid-nuclei: 49
% kept new demods: 0
% forw unit-subs: 195
% forw double-subs: 25
% forw overdouble-subs: 0
% backward subs: 10
% fast unit cutoff: 6
% full unit cutoff: 0
% dbl unit cutoff: 3
% real runtime : 0.13
% process. runtime: 0.1
% specific non-discr-tree subsumption statistics:
% tried: 6
% length fails: 0
% strength fails: 0
% predlist fails: 0
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 6
% full subs fail: 6
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP26529/SWV/SWV308-2+noeq.in")
% Killed 1 orphans
%
%------------------------------------------------------------------------------