TSTP Solution File: SWV301-2 by Gandalf---c-2.6
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- Process Solution
%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SWV301-2 : 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 : art06.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/SystemOnTPTP21990/SWV/SWV301-2+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 5)
% (binary-unit 9 #f 11 5)
% (binary-double 9 #f 11 5)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 11 5)
% (binary-order 25 #f 11 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
% 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_^n^b,c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evsf,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^event_^oevent_^o^says(v_^b,c_^message_^oagent_^o^server,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^m^pair(X,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(v_^n^b,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_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^key(v_^k))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% was split for some strategies as:
% 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_^n^b,c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evsf,tc_^event_^oevent),tc_^event_^oevent).
% -c_in(c_^event_^oevent_^o^says(v_^b,c_^message_^oagent_^o^server,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^m^pair(X,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(v_^n^b,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_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^key(v_^k))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(14,40,0,28,0,0,65,50,0,79,0,0,116,50,0,130,0,0,167,50,0,181,0,0,218,50,1,232,0,1,269,50,1,283,0,1,320,50,1,334,0,1,371,50,1,385,0,1,422,50,1,436,0,1,473,50,1,487,0,2,524,50,2,538,0,2,575,50,2,575,40,2,589,0,2)
%
%
% START OF PROOF
% 577 [] c_in(c_^message_^oagent_^o^spy,c_^event_^obad,tc_^message_^oagent).
% 578 [] -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).
% 579 [] 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).
% 580 [] -c_in(X,c_^message_^oanalz(Y),tc_^message_^omsg) | c_in(X,c_^message_^oparts(Y),tc_^message_^omsg).
% 581 [] -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).
% 582 [] -c_in(X,c_union(Y,Z,U),U) | c_in(X,Z,U) | c_in(X,Y,U).
% 583 [] -c_in(v_^b,c_^event_^obad,tc_^message_^oagent).
% 584 [] c_in(v_evsf,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 585 [] c_in(v_^x,c_^message_^osynth(c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf))),tc_^message_^omsg).
% 586 [] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,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).
% 587 [] -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_^n^b,c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evsf,tc_^event_^oevent),tc_^event_^oevent).
% 588 [] c_in(c_^event_^oevent_^o^says(v_^b,c_^message_^oagent_^o^server,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^m^pair(v_x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(v_^n^b,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_^b,c_^message_^oagent_^o^spy).
% 589 [?] ?
% 598 [para:588.2.1,583.1.1,cut:577] c_in(c_^event_^oevent_^o^says(v_^b,c_^message_^oagent_^o^server,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^m^pair(v_x,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(v_^n^b,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).
% 625 [input:589,cut:587,slowcut:598] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^key(v_^k))),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 626 [binary:580.2,625] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^key(v_^k))),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 628 [binary:582.2,625] -c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^key(v_^k))),c_union(X,c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,c_^message_^omsg_^o^key(v_^k))),X,tc_^message_^omsg).
% 695 [binary:586,579.2,cut:585] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,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).
% 733 [binary:584,581.2] -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).
% 735 [binary:583,733.2] -c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^b)),c_^message_^oparts(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 736 [binary:580.2,735] -c_in(c_^message_^omsg_^o^key(c_^public_^oshr^k(v_^b)),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evsf)),tc_^message_^omsg).
% 1765 [binary:628,695] c_in(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(v_^n^b,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).
% 1766 [binary:578,1765,cut:626,cut:736] 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 11
% seconds given: 4
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 375
% derived clauses: 1762
% kept clauses: 1274
% kept size sum: 32790
% kept mid-nuclei: 143
% kept new demods: 11
% forw unit-subs: 146
% forw double-subs: 44
% forw overdouble-subs: 0
% backward subs: 57
% fast unit cutoff: 96
% full unit cutoff: 1
% dbl unit cutoff: 11
% real runtime : 0.7
% process. runtime: 0.5
% specific non-discr-tree subsumption statistics:
% tried: 34
% length fails: 0
% strength fails: 0
% predlist fails: 11
% aux str. fails: 0
% by-lit fails: 0
% full subs tried: 23
% full subs fail: 23
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP21990/SWV/SWV301-2+eq_r.in")
% Killed 1 orphans
%
%------------------------------------------------------------------------------