TPTP Problem File: SWV289-2.p
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- Solve Problem
%------------------------------------------------------------------------------
% File : SWV289-2 : TPTP v9.0.0. Released v3.2.0.
% Domain : Software Verification (Security)
% Problem : Cryptographic protocol problem for Otway Rees
% Version : [Pau06] axioms : Reduced > Especial.
% English :
% Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% Source : [Pau06]
% Names :
% Status : Unsatisfiable
% Rating : 0.18 v9.0.0, 0.17 v8.2.0, 0.14 v8.1.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.38 v6.4.0, 0.25 v6.3.0, 0.29 v6.2.0, 0.11 v6.1.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.00 v3.2.0
% Syntax : Number of clauses : 9 ( 7 unt; 2 nHn; 9 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% Number of functors : 27 ( 27 usr; 15 con; 0-3 aty)
% Number of variables : 14 ( 2 sgn)
% SPC : CNF_UNS_RFO_NEQ_NHN
% Comments : The problems in the [Pau06] collection each have very many axioms,
% of which only a small selection are required for the refutation.
% The mission is to find those few axioms, after which a refutation
% can be quite easily found. This version has only the necessary
% axioms.
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ).
cnf(cls_conjecture_3,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
cnf(cls_conjecture_6,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ).
cnf(cls_OtwayRees_OB__trusts__OR3__dest_0,axiom,
( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_X,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(V_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_B),c_Message_Omsg_OMPair(V_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(V_A),c_Message_Omsg_OAgent(V_B)))))))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
cnf(cls_OtwayRees_OSpy__not__see__encrypted__key__dest_0,axiom,
( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,V_B,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(V_A),c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OKey(V_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(V_B),c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| c_in(V_B,c_Event_Obad,tc_Message_Oagent)
| c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(V_NA,c_Message_Omsg_OMPair(V_NB,c_Message_Omsg_OKey(V_K)))),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
%------------------------------------------------------------------------------