%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 21:42:13 EDT 2022
% Result : Unsatisfiable 0.18s 0.41s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 4 nHn; 11 RR)
% Number of literals : 23 ( 0 equ; 10 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 19 con; 0-3 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_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('SWV314-2.p',unknown),
[] ).
cnf(2,axiom,
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),
file('SWV314-2.p',unknown),
[] ).
cnf(3,axiom,
~ 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),
file('SWV314-2.p',unknown),
[] ).
cnf(4,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV314-2.p',unknown),
[] ).
cnf(5,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV314-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV314-2.p',unknown),
[] ).
cnf(7,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('SWV314-2.p',unknown),
[] ).
cnf(14,plain,
( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,u,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(u),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(u,c_Event_Obad,tc_Message_Oagent)
| c_in(v,c_Event_Obad,tc_Message_Oagent) ),
inference(res,[status(thm),theory(equality)],[1,3]),
[iquote('0:Res:1.5,3.0')] ).
cnf(15,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,u,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(u),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(v,c_Event_Obad,tc_Message_Oagent)
| c_in(u,c_Event_Obad,tc_Message_Oagent) ),
inference(mrr,[status(thm)],[14,6,7]),
[iquote('0:MRR:14.0,14.2,6.0,7.0')] ).
cnf(17,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
inference(res,[status(thm),theory(equality)],[2,15]),
[iquote('0:Res:2.0,15.0')] ).
cnf(18,plain,
$false,
inference(mrr,[status(thm)],[17,4,5]),
[iquote('0:MRR:17.0,17.1,4.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 15 23:28:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.41
% 0.18/0.41 SPASS V 3.9
% 0.18/0.41 SPASS beiseite: Proof found.
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.41 SPASS derived 8 clauses, backtracked 0 clauses, performed 0 splits and kept 15 clauses.
% 0.18/0.41 SPASS allocated 63168 KBytes.
% 0.18/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.18/0.41 0:00:00.04 for the input.
% 0.18/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.41 0:00:00.00 for inferences.
% 0.18/0.41 0:00:00.00 for the backtracking.
% 0.18/0.41 0:00:00.00 for the reduction.
% 0.18/0.41
% 0.18/0.41
% 0.18/0.41 Here is a proof with depth 2, length 11 :
% 0.18/0.41 % SZS output start Refutation
% See solution above
% 0.18/0.41 Formulae used in the proof : cls_OtwayRees_Osecrecy__lemma__dest_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_4 cls_conjecture_5
% 0.18/0.41
%------------------------------------------------------------------------------