%------------------------------------------------------------------------------
% File : Gandalf---c-2.6
% Problem : SWV354-2 : 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 : art05.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2795MHz
% 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/SystemOnTPTP23877/SWV/SWV354-2+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 8 11)
% (binary-unit 9 #f 8 11)
% (binary-double 9 #f 8 11)
% (binary-double 15 #f)
% (binary-double 15 #t)
% (binary 50 #t 8 11)
% (binary-order 25 #f 8 11)
% (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^key(v_^k)) | -equal(v_^n^a,v_^n^aa) | -equal(v_^n^b,v_^n^ba).
% was split for some strategies as:
% -equal(X,c_^message_^omsg_^o^key(v_^k)).
% -equal(v_^n^a,v_^n^aa).
% -equal(v_^n^b,v_^n^ba).
%
% ********* EMPTY CLAUSE DERIVED *********
%
%
% timer checkpoints: c(11,40,0,22,0,0,42,50,0,53,0,0,73,50,0,84,0,0,104,50,0,115,0,0,135,50,0,146,0,0,166,50,0,177,0,0,197,50,1,208,0,1,228,50,1,239,0,1,259,50,1,270,0,1,290,50,1,301,0,1,321,50,1,332,0,1,352,50,1,363,0,1,383,50,1,394,0,1,414,50,2,425,0,2,445,50,2,445,40,2,456,0,2)
%
%
% START OF PROOF
% 446 [] equal(X,X).
% 447 [] -c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(Z),c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^nonce(V))))),W)),c_^list_^oset(X1,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^message_^omsg_^o^nonce(X2),c_^message_^oanalz(c_insert(c_^message_^omsg_^o^key(Z),c_^event_^oknows(c_^message_^oagent_^o^spy,X1),tc_^message_^omsg)),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^nonce(X2),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,X1)),tc_^message_^omsg) | equal(Z,c_^public_^oshr^k(v_sko__2^v^y(Z))) | -c_in(X1,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)) | equal(X2,V).
% 448 [] -c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(U,V)))),W)),c_^list_^oset(X1,tc_^event_^oevent),tc_^event_^oevent) | c_in(c_^event_^oevent_^o^gets(c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(Y),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^m^pair(U,V))))),c_^list_^oset(X1,tc_^event_^oevent),tc_^event_^oevent) | -c_in(X1,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)).
% 449 [] -c_in(c_^event_^oevent_^o^says(X,Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(U),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(V),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(W),X1))))),c_^list_^oset(X2,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^event_^oevent_^o^gets(X3,c_^message_^omsg_^o^m^pair(X4,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X5),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X6),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(X7),X1))))),c_^list_^oset(X2,tc_^event_^oevent),tc_^event_^oevent) | c_in(X1,c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,X2)),tc_^message_^omsg) | -c_in(X2,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)) | equal(X7,W).
% 450 [] -c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(c_^public_^oshr^k(Z)),c_^message_^omsg_^o^m^pair(U,V)))),W)),c_^list_^oset(X1,tc_^event_^oevent),tc_^event_^oevent) | -c_in(X1,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)).
% 451 [] c_in(v_evso,c_^yahalom_^oyahalom,tc_^list_^olist(tc_^event_^oevent)).
% 452 [] c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,v_^aa,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^ba),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(v_^k),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^ba))))),v_^x)),c_^list_^oset(v_evso,tc_^event_^oevent),tc_^event_^oevent).
% 453 [] c_in(c_^event_^oevent_^o^says(v_^b,c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^b),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(v_^a),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^a),c_^message_^omsg_^o^nonce(v_^n^b)))))),c_^list_^oset(v_evso,tc_^event_^oevent),tc_^event_^oevent).
% 454 [] -c_in(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evso)),tc_^message_^omsg).
% 455 [] c_in(c_^message_^omsg_^o^nonce(v_^n^b),c_^message_^oanalz(c_insert(c_^message_^omsg_^o^key(v_^k),c_^event_^oknows(c_^message_^oagent_^o^spy,v_evso),tc_^message_^omsg)),tc_^message_^omsg).
% 456 [?] ?
% 458 [input:456,slowcut:446] -equal(v_^n^b,v_^n^ba) | -equal(v_^n^a,v_^n^aa).
% 460 [binary:451,450.2] -c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^key(c_^public_^oshr^k(Z)),c_^message_^omsg_^o^m^pair(U,V)))),W)),c_^list_^oset(v_evso,tc_^event_^oevent),tc_^event_^oevent).
% 463 [binary:452,448,cut:451] c_in(c_^event_^oevent_^o^gets(c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(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^agent(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^ba)))))),c_^list_^oset(v_evso,tc_^event_^oevent),tc_^event_^oevent).
% 468 [binary:452,447,cut:451] equal(v_^k,c_^public_^oshr^k(v_sko__2^v^y(v_^k))) | -c_in(c_^message_^omsg_^o^nonce(X),c_^message_^oanalz(c_insert(c_^message_^omsg_^o^key(v_^k),c_^event_^oknows(c_^message_^oagent_^o^spy,v_evso),tc_^message_^omsg)),tc_^message_^omsg) | c_in(c_^message_^omsg_^o^nonce(X),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evso)),tc_^message_^omsg) | equal(X,v_^n^ba).
% 473 [binary:454,468.3,cut:455] equal(v_^k,c_^public_^oshr^k(v_sko__2^v^y(v_^k))) | equal(v_^n^b,v_^n^ba).
% 483 [para:473.1.2,460.1.1.3.1.2.2.1.1,slowcut:452] equal(v_^n^b,v_^n^ba).
% 485 [para:483.1.2,458.1.2,cut:446] -equal(v_^n^a,v_^n^aa).
% 487 [para:483.1.2,463.1.1.2.2.2.2.2.1] c_in(c_^event_^oevent_^o^gets(c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(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^agent(v_^aa),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(v_^n^aa),c_^message_^omsg_^o^nonce(v_^n^b)))))),c_^list_^oset(v_evso,tc_^event_^oevent),tc_^event_^oevent).
% 492 [binary:453,449,cut:454,cut:451] -c_in(c_^event_^oevent_^o^gets(X,c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(Z),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(U),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^nonce(V),c_^message_^omsg_^o^nonce(v_^n^b)))))),c_^list_^oset(v_evso,tc_^event_^oevent),tc_^event_^oevent) | equal(V,v_^n^a).
% 500 [binary:487,492] equal(v_^n^aa,v_^n^a).
% 502 [para:500.1.2,485.1.1,cut:446] 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 11
% clause depth limited to 8
% seconds given: 4
%
%
% ***GANDALF_FOUND_A_REFUTATION***
%
% Global statistics over all passes:
%
% given clauses: 202
% derived clauses: 315
% kept clauses: 62
% kept size sum: 1529
% kept mid-nuclei: 154
% kept new demods: 2
% forw unit-subs: 4
% forw double-subs: 1
% forw overdouble-subs: 0
% backward subs: 4
% fast unit cutoff: 97
% full unit cutoff: 17
% dbl unit cutoff: 0
% real runtime : 0.3
% process. runtime: 0.2
% specific non-discr-tree subsumption statistics:
% tried: 44
% length fails: 0
% strength fails: 38
% predlist fails: 0
% aux str. fails: 0
% by-lit fails: 1
% full subs tried: 3
% full subs fail: 3
%
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP23877/SWV/SWV354-2+eq_r.in")
%
%------------------------------------------------------------------------------