TSTP Solution File: SWV287-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV287-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 21:42:03 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 9 unt; 4 nHn; 14 RR)
% Number of literals : 31 ( 0 equ; 14 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 19 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(u,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(v,w,c_Message_Omsg_OMPair(x,c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(x,c_Message_Omsg_OKey(y))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(w,z,c_Message_Omsg_OMPair(x,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(z),c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(x,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OAgent(z)))))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| c_in(w,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,z,c_Message_Omsg_OMPair(x,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(x,c_Message_Omsg_OKey(y))),c_Message_Omsg_OCrypt(c_Public_OshrK(z),c_Message_Omsg_OMPair(v_sko__u8o(w,z,y,x,u),c_Message_Omsg_OKey(y)))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV287-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(u,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(v),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,w,c_Message_Omsg_OMPair(x,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(y),c_Message_Omsg_OMPair(x,c_Message_Omsg_OKey(v))),c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(z,c_Message_Omsg_OKey(v)))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| c_in(y,c_Event_Obad,tc_Message_Oagent)
| c_in(w,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(x,c_Message_Omsg_OMPair(z,c_Message_Omsg_OKey(v)))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV287-2.p',unknown),
[] ).
cnf(3,axiom,
c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,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),
file('SWV287-2.p',unknown),
[] ).
cnf(4,axiom,
c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV287-2.p',unknown),
[] ).
cnf(5,axiom,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(u,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV287-2.p',unknown),
[] ).
cnf(6,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV287-2.p',unknown),
[] ).
cnf(7,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV287-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV287-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('SWV287-2.p',unknown),
[] ).
cnf(10,plain,
( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(u,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v_A,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))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v,v_NA,v_evs),c_Message_Omsg_OKey(v)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(res,[status(thm),theory(equality)],[3,1]),
[iquote('0:Res:3.0,1.2')] ).
cnf(11,plain,
( ~ c_in(c_Event_Oevent_OSays(u,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v))))),c_List_Oset(v_evs,tc_Event_Oevent),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))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v,v_NA,v_evs),c_Message_Omsg_OKey(v)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(mrr,[status(thm)],[10,8,6]),
[iquote('0:MRR:10.0,10.2,8.0,6.0')] ).
cnf(12,plain,
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_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(res,[status(thm),theory(equality)],[4,11]),
[iquote('0:Res:4.0,11.0')] ).
cnf(13,plain,
( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(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_A,c_Event_Obad,tc_Message_Oagent)
| c_in(v_B,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_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(res,[status(thm),theory(equality)],[12,2]),
[iquote('0:Res:12.0,2.2')] ).
cnf(14,plain,
$false,
inference(mrr,[status(thm)],[13,8,9,6,7,5]),
[iquote('0:MRR:13.0,13.1,13.2,13.3,13.4,8.0,9.0,6.0,7.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV287-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 16:01:50 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 12 clauses.
% 0.19/0.41 SPASS allocated 63165 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.03 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 3, length 14 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : cls_OtwayRees_OA__trusts__OR4__dest_0 cls_OtwayRees_Osecrecy__lemma__dest_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_4 cls_conjecture_5 cls_conjecture_6
% 0.19/0.41
%------------------------------------------------------------------------------