TSTP Solution File: SWV289-1 by Gandalf---c-2.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Gandalf---c-2.6
% Problem  : SWV289-1 : 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 : art01.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/SystemOnTPTP333/SWV/SWV289-1+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 11 11)
% (binary-unit 28 #f 11 11)
% (binary-double 11 #f 11 11)
% (binary-double 17 #f)
% (binary-double 17 #t)
% (binary 87 #t 11 11)
% (binary-order 28 #f 11 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(1485,40,8,2970,0,13,261008,4,2132,261885,5,2814,261886,5,2819,261887,1,2819,261887,50,2827,261887,40,2827,263372,0,2829,313026,3,4230,332201,4,4930,335178,5,5630,335179,5,5634,335180,1,5634,335180,50,5640,335180,40,5640,336665,0,5641,362716,3,6193,373630,4,6467,376087,5,6742,376088,5,6743,376089,1,6743,376089,50,6745,376089,40,6745,377574,0,6747,409514,3,7598,426587,4,8023,429563,5,8448,429564,5,8449,429565,1,8449,429565,50,8453,429565,40,8453,431050,0,8455)
% 
% 
% START OF PROOF
% 431039 [] -c_in(c_^event_^oevent_^o^says(X,c_^message_^oagent_^o^server,c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Z),c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(X),c_^message_^omsg_^o^m^pair(U,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(V,c_^message_^omsg_^o^m^pair(c_^message_^omsg_^o^agent(Z),c_^message_^omsg_^o^agent(X)))))))))),c_^list_^oset(W,tc_^event_^oevent),tc_^event_^oevent) | 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(X1))),c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(V,c_^message_^omsg_^o^key(X1)))))),c_^list_^oset(W,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^event_^oevent_^o^gets(X,c_^message_^omsg_^o^m^pair(Y,c_^message_^omsg_^o^m^pair(X2,c_^message_^omsg_^o^crypt(c_^public_^oshr^k(X),c_^message_^omsg_^o^m^pair(V,c_^message_^omsg_^o^key(X1)))))),c_^list_^oset(W,tc_^event_^oevent),tc_^event_^oevent) | -c_in(W,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)) | c_in(X,c_^event_^obad,tc_^message_^oagent).
% 431041 [] -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).
% 431044 [] 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_^h,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_evs,tc_^event_^oevent),tc_^event_^oevent).
% 431045 [] c_in(c_^event_^oevent_^o^gets(v_^b,c_^message_^omsg_^o^m^pair(v_^n^a,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^b,c_^message_^omsg_^o^key(v_^k)))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent).
% 431046 [] -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(v_^n^b,c_^message_^omsg_^o^key(v_^k)))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent).
% 431047 [] -c_in(v_^a,c_^event_^obad,tc_^message_^oagent).
% 431048 [] -c_in(v_^b,c_^event_^obad,tc_^message_^oagent).
% 431049 [] c_in(v_evs,c_^otway^rees_^ootway,tc_^list_^olist(tc_^event_^oevent)).
% 431050 [] 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).
% 431088 [binary:431041.6,431048] -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).
% 431169 [binary:431039,431044,cut:431049,cut:431048] 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(v_^n^b,c_^message_^omsg_^o^key(X)))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent) | -c_in(c_^event_^oevent_^o^gets(v_^b,c_^message_^omsg_^o^m^pair(v_^n^a,c_^message_^omsg_^o^m^pair(Y,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(X)))))),c_^list_^oset(v_evs,tc_^event_^oevent),tc_^event_^oevent).
% 435288 [binary:431046,431088.2,cut:431050,cut:431049] -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(v_^n^b,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).
% 446303 [binary:431045,431169.2,binarydemod:435288,cut:431047] 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:    9691
%  derived clauses:   546205
%  kept clauses:      240930
%  kept size sum:     376236
%  kept mid-nuclei:   18914
%  kept new demods:   139
%  forw unit-subs:    81025
%  forw double-subs: 23697
%  forw overdouble-subs: 4329
%  backward subs:     74
%  fast unit cutoff:  2134
%  full unit cutoff:  994
%  dbl  unit cutoff:  4
%  real runtime  :  89.47
%  process. runtime:  89.24
% specific non-discr-tree subsumption statistics: 
%  tried:           104694
%  length fails:    4494
%  strength fails:  10568
%  predlist fails:  25850
%  aux str. fails:  3829
%  by-lit fails:    4735
%  full subs tried: 46363
%  full subs fail:  42028
% 
% ; program args: ("/home/graph/tptp/Systems/Gandalf---c-2.6/gandalf" "-time" "600" "/tmp/SystemOnTPTP333/SWV/SWV289-1+eq_r.in")
% WARNING: TreeLimitedRun lost 84.83s, total lost is 84.83s
% 
%------------------------------------------------------------------------------