TSTP Solution File: SWV313-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV313-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 21:42:12 EDT 2022
% Result : Unsatisfiable 0.70s 0.92s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 9 unt; 2 nHn; 12 RR)
% Number of literals : 22 ( 0 equ; 11 neg)
% Maximal clause size : 6 ( 1 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(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('SWV313-1.p',unknown),
[] ).
cnf(3,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('SWV313-1.p',unknown),
[] ).
cnf(4,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('SWV313-1.p',unknown),
[] ).
cnf(5,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV313-1.p',unknown),
[] ).
cnf(6,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV313-1.p',unknown),
[] ).
cnf(7,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV313-1.p',unknown),
[] ).
cnf(8,axiom,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
file('SWV313-1.p',unknown),
[] ).
cnf(1423,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oanalz(v),tc_Message_Omsg) ),
file('SWV313-1.p',unknown),
[] ).
cnf(1581,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_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) ),
inference(res,[status(thm),theory(equality)],[3,2]),
[iquote('0:Res:3.0,2.1')] ).
cnf(1584,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(mrr,[status(thm)],[1581,7,6,5,4]),
[iquote('0:MRR:1581.0,1581.2,1581.3,1581.4,7.0,6.0,5.0,4.0')] ).
cnf(1687,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1423,1584]),
[iquote('0:Res:1423.1,1584.0')] ).
cnf(1688,plain,
$false,
inference(mrr,[status(thm)],[1687,8]),
[iquote('0:MRR:1687.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV313-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n021.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 17:52:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.70/0.92
% 0.70/0.92 SPASS V 3.9
% 0.70/0.92 SPASS beiseite: Proof found.
% 0.70/0.92 % SZS status Theorem
% 0.70/0.92 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.70/0.92 SPASS derived 172 clauses, backtracked 0 clauses, performed 0 splits and kept 1515 clauses.
% 0.70/0.92 SPASS allocated 78168 KBytes.
% 0.70/0.92 SPASS spent 0:00:00.55 on the problem.
% 0.70/0.92 0:00:00.10 for the input.
% 0.70/0.92 0:00:00.00 for the FLOTTER CNF translation.
% 0.70/0.92 0:00:00.03 for inferences.
% 0.70/0.92 0:00:00.00 for the backtracking.
% 0.70/0.92 0:00:00.12 for the reduction.
% 0.70/0.92
% 0.70/0.92
% 0.70/0.92 Here is a proof with depth 2, length 12 :
% 0.70/0.92 % SZS output start Refutation
% See solution above
% 0.70/0.92 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 cls_Message_Oanalz_OInj_0
% 0.70/0.92
%------------------------------------------------------------------------------