TSTP Solution File: SWV287-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SWV287-1 : 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 : art10.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 84.8s
% Output   : Assurance 84.8s
% 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/SystemOnTPTP9841/SWV/SWV287-1+eq_r.in
% 
% Some predicates or functions were curried and renamed.
% Using automatic strategy selection.
% Time limit in seconds: 600
% 
% prove-all-passes started
% 
% detected problem class: neq
% detected subclass: big
% 
% strategies selected: 
% (hyper 28 #f 9 11)
% (binary-unit 28 #f 9 11)
% (binary-double 11 #f 9 11)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 9 11)
% (binary-order 28 #f 9 11)
% (binary-posweight-order 58 #f)
% (binary-posweight-lex-big-order 28 #f)
% (binary-posweight-lex-small-order 11 #f)
% (binary-order-sos 28 #t)
% (binary-unit-uniteq 28 #f)
% (binary-weightorder 28 #f)
% (binary-weightorder-sos 17 #f)
% (binary-order 28 #f)
% (hyper-order 17 #f)
% (binary 141 #t)
% 
% 
% ********* EMPTY CLAUSE DERIVED *********
% 
% 
% timer checkpoints: c(1481,40,7,2962,0,13,283522,4,2116,284408,5,2814,284409,5,2839,284410,1,2839,284410,50,2845,284410,40,2845,285891,0,2847,341799,3,4260,356815,4,4948,359972,5,5649,359973,5,5653,359973,1,5653,359973,50,5660,359973,40,5660,361454,0,5661,388311,3,6213,399144,4,6487,401662,5,6762,401664,5,6763,401665,1,6763,401665,50,6766,401665,40,6766,403146,0,6768,436077,3,7619,453136,4,8045,456095,5,8470,456096,5,8472,456097,1,8472,456097,50,8476,456097,40,8476,457578,0,8477)
% 
% 
% START OF PROOF
% 457569 [] -c_in(c_^event_^oevent_^o^says(X,Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Y),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^agent(Y)))))))),c_^list_^oset(U,tc_^event_^oevent),tc_^event_^oevent) | c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,Y,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^key(V))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(Y),c_^message_^omsg_^o^m^pair($ganapfun5($ganc76,X,Y,V,Z,U),c_^message_^omsg_^o^key(V)))))),c_^list_^oset(U,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^event_^oevent_^o^says(W,X,c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Z,c_^message_^omsg_^o^key(V))))),c_^list_^oset(U,tc_^event_^oevent),tc_^event_^oevent) | -c_in(U,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 457571 [] -c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,X,c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(Z),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^key(U))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(V,c_^message_^omsg_^o^key(U)))))),c_^list_^oset(W,tc_^event_^oevent),tc_^event_^oevent) | c_in(c_^event_^oevent_^o^notes(c_^message_^oagent_^o^spy,c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(V,c_^message_^omsg_^o^key(U)))),c_^list_^oset(W,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^message_^omsg_^o^key(U),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,W)),tc_^message_^omsg) | -c_in(W,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(Z,c_^event_^obad,tc_^message_^oagent) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 457572 [] 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_evs,tc_^event_^oevent),tc_^event_^oevent).
% 457573 [] c_in(c_^event_^oevent_^o^says(v_^b_^h,v_^a,c_^message_^omsg_^o^m^pair(v_^n^a,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_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent).
% 457574 [] -c_in(c_^event_^oevent_^o^notes(c_^message_^oagent_^o^spy,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^key(v_^k)))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent).
% 457575 [] -c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 457576 [] -c_in(v_^b,c_^event_^obad,tc_^message_^oagent).
% 457577 [] c_in(v_evs,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 457578 [] c_in(c_^message_^omsg_^o^key(v_^k),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,v_evs)),tc_^message_^omsg).
% 457610 [binary:457571.6,457576] -c_in(c_^event_^oevent_^o^says(c_^message_^oagent_^o^server,v_^b,c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^crypt(c_^public_^oshr^k(Y),c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^key(Z))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^key(Z)))))),c_^list_^oset(V,tc_^event_^oevent),tc_^event_^oevent) | c_in(c_^event_^oevent_^o^notes(c_^message_^oagent_^o^spy,c_^message_^omsg_^o^m^pair(X,c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^key(Z)))),c_^list_^oset(V,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^message_^omsg_^o^key(Z),c_^message_^oanalz(c_^event_^oknows(c_^message_^oagent_^o^spy,V)),tc_^message_^omsg) | -c_in(V,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(Y,c_^event_^obad,tc_^message_^oagent).
% 457685 [binary:457569,457572,cut:457577,cut:457575] 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(X))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(v_^b),c_^message_^omsg_^o^m^pair($ganapfun5($ganc76,v_^a,v_^b,X,v_^n^a,v_evs),c_^message_^omsg_^o^key(X)))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^event_^oevent_^o^says(Y,v_^a,c_^message_^omsg_^o^m^pair(v_^n^a,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(X))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent).
% 460957 [binary:457574,457610.2,cut:457578,cut:457577] -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(X),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(Y,c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 471331 [binary:457573,457685.2,binarydemod:460957,cut:457575] contradiction
% END OF PROOF
% 
% Proof found by the following strategy:
% 
% using binary resolution
% using sos strategy
% using double strategy
% using dynamic demodulation
% using ordered paramodulation
% using kb ordering for equality
% preferring bigger arities for lex ordering
% using clause demodulation
% seconds given: 17
% 
% 
% ***GANDALF_FOUND_A_REFUTATION***
% 
% Global statistics over all passes: 
% 
%  given clauses:    9752
%  derived clauses:   571013
%  kept clauses:      242810
%  kept size sum:     311982
%  kept mid-nuclei:   19053
%  kept new demods:   136
%  forw unit-subs:    82031
%  forw double-subs: 23766
%  forw overdouble-subs: 3181
%  backward subs:     67
%  fast unit cutoff:  2164
%  full unit cutoff:  1172
%  dbl  unit cutoff:  4
%  real runtime  :  88.53
%  process. runtime:  88.28
% specific non-discr-tree subsumption statistics: 
%  tried:           92155
%  length fails:    4025
%  strength fails:  8013
%  predlist fails:  18072
%  aux str. fails:  1932
%  by-lit fails:    4650
%  full subs tried: 47547
%  full subs fail:  44361
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP9841/SWV/SWV287-1+eq_r.in")
% WARNING: TreeLimitedRun lost 84.83s, total lost is 84.83s
% 
%------------------------------------------------------------------------------