TSTP Solution File: SWV797-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV797-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 21:45:12 EDT 2022
% Result : Unsatisfiable 0.14s 0.56s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 11 unt; 7 nHn; 18 RR)
% Number of literals : 41 ( 0 equ; 20 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 22 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(524,axiom,
( ~ hBOOL(c_in(u,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v),c_Message_Omsg_OMPair(w,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,y),z)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg))
| hBOOL(c_in(v,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v),c_Message_Omsg_OMPair(w,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,y),z))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)) ),
file('SWV797-1.p',unknown),
[] ).
cnf(525,axiom,
( ~ hBOOL(c_in(u,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(w),c_Message_Omsg_ONonce(w))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,x,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,x),c_Message_Omsg_OMPair(y,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(z),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,z),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v),c_Message_Omsg_OAgent(x)))))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(z,c_Event_Obad,tc_Message_Oagent))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg))
| hBOOL(c_in(c_Event_Oevent_OSays(x,z,c_Message_Omsg_OCrypt(v,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(w),c_Message_Omsg_ONonce(w)))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)) ),
file('SWV797-1.p',unknown),
[] ).
cnf(558,axiom,
( ~ hBOOL(c_in(u,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v),c_Message_Omsg_OMPair(w,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,y),z)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg))
| hBOOL(c_in(v,c_Event_Obad,tc_Message_Oagent))
| equal(z,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,x),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,y),c_Message_Omsg_OAgent(v)))) ),
file('SWV797-1.p',unknown),
[] ).
cnf(616,axiom,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
file('SWV797-1.p',unknown),
[] ).
cnf(617,axiom,
~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
file('SWV797-1.p',unknown),
[] ).
cnf(618,axiom,
~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
file('SWV797-1.p',unknown),
[] ).
cnf(619,axiom,
hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('SWV797-1.p',unknown),
[] ).
cnf(620,axiom,
hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
file('SWV797-1.p',unknown),
[] ).
cnf(621,axiom,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
file('SWV797-1.p',unknown),
[] ).
cnf(622,axiom,
~ hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
file('SWV797-1.p',unknown),
[] ).
cnf(840,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(u,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)) ),
inference(res,[status(thm),theory(equality)],[525,622]),
[iquote('0:Res:525.3,622.0')] ).
cnf(845,plain,
( ~ hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))
| hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
inference(res,[status(thm),theory(equality)],[620,524]),
[iquote('0:Res:620.0,524.1')] ).
cnf(846,plain,
( ~ hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| equal(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))),v_X)
| hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)) ),
inference(res,[status(thm),theory(equality)],[620,558]),
[iquote('0:Res:620.0,558.1')] ).
cnf(873,plain,
equal(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))),v_X),
inference(mrr,[status(thm)],[846,619,617]),
[iquote('0:MRR:846.0,846.2,619.0,617.0')] ).
cnf(876,plain,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
inference(mrr,[status(thm)],[845,619,617]),
[iquote('0:MRR:845.0,845.2,619.0,617.0')] ).
cnf(890,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(u,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg))
| hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)) ),
inference(rew,[status(thm),theory(equality)],[873,840]),
[iquote('0:Rew:873.0,840.1')] ).
cnf(891,plain,
~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(u,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
inference(mrr,[status(thm)],[890,621,619,616,618]),
[iquote('0:MRR:890.0,890.2,890.3,890.4,621.0,619.0,616.0,618.0')] ).
cnf(892,plain,
$false,
inference(unc,[status(thm)],[891,876]),
[iquote('0:UnC:891.0,876.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWV797-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.10 % Command : run_spass %d %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 600
% 0.10/0.29 % DateTime : Tue Jun 14 15:50:28 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.14/0.56
% 0.14/0.56 SPASS V 3.9
% 0.14/0.56 SPASS beiseite: Proof found.
% 0.14/0.56 % SZS status Theorem
% 0.14/0.56 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.56 SPASS derived 184 clauses, backtracked 0 clauses, performed 0 splits and kept 630 clauses.
% 0.14/0.56 SPASS allocated 77534 KBytes.
% 0.14/0.56 SPASS spent 0:00:00.24 on the problem.
% 0.14/0.56 0:00:00.04 for the input.
% 0.14/0.56 0:00:00.00 for the FLOTTER CNF translation.
% 0.14/0.56 0:00:00.00 for inferences.
% 0.14/0.56 0:00:00.00 for the backtracking.
% 0.14/0.56 0:00:00.08 for the reduction.
% 0.14/0.56
% 0.14/0.56
% 0.14/0.56 Here is a proof with depth 1, length 18 :
% 0.14/0.56 % SZS output start Refutation
% See solution above
% 0.14/0.56 Formulae used in the proof : cls_A__trusts__NS2_0 cls_B__trusts__NS5__lemma_0 cls_cert__A__form_1 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_4 cls_conjecture_5 cls_conjecture_6
% 0.14/0.56
%------------------------------------------------------------------------------