TSTP Solution File: SWV345-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV345-1 : 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 21:42:25 EDT 2022
% Result : Unsatisfiable 1.68s 1.90s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 15 ( 0 equ; 7 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 35 ( 35 usr; 26 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(x),c_Message_Omsg_OMPair(y,z)))),x1)),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,x2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(x2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x3),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(x),c_Message_Omsg_OMPair(x4,x5)))),x6)),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| equal(z,x5) ),
file('SWV345-1.p',unknown),
[] ).
cnf(8,axiom,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV345-1.p',unknown),
[] ).
cnf(9,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('SWV345-1.p',unknown),
[] ).
cnf(10,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('SWV345-1.p',unknown),
[] ).
cnf(13,axiom,
~ equal(c_Message_Omsg_ONonce(v_NB),v_nb),
file('SWV345-1.p',unknown),
[] ).
cnf(3540,plain,
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,u,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(u),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(w,x)))),y)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| equal(v_nb,x) ),
inference(res,[status(thm),theory(equality)],[10,5]),
[iquote('0:Res:10.0,5.2')] ).
cnf(3550,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,u,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(u),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(w,x)))),y)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| equal(v_nb,x) ),
inference(mrr,[status(thm)],[3540,8]),
[iquote('0:MRR:3540.0,8.0')] ).
cnf(3602,plain,
equal(c_Message_Omsg_ONonce(v_NB),v_nb),
inference(res,[status(thm),theory(equality)],[9,3550]),
[iquote('0:Res:9.0,3550.0')] ).
cnf(3658,plain,
$false,
inference(mrr,[status(thm)],[3602,13]),
[iquote('0:MRR:3602.0,13.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV345-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n011.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 : Thu Jun 16 00:13:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.68/1.90
% 1.68/1.90 SPASS V 3.9
% 1.68/1.90 SPASS beiseite: Proof found.
% 1.68/1.90 % SZS status Theorem
% 1.68/1.90 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.68/1.90 SPASS derived 256 clauses, backtracked 0 clauses, performed 0 splits and kept 2934 clauses.
% 1.68/1.90 SPASS allocated 80423 KBytes.
% 1.68/1.90 SPASS spent 0:00:01.48 on the problem.
% 1.68/1.90 0:00:00.22 for the input.
% 1.68/1.90 0:00:00.00 for the FLOTTER CNF translation.
% 1.68/1.90 0:00:00.00 for inferences.
% 1.68/1.90 0:00:00.00 for the backtracking.
% 1.68/1.90 0:00:00.73 for the reduction.
% 1.68/1.90
% 1.68/1.90
% 1.68/1.90 Here is a proof with depth 2, length 9 :
% 1.68/1.90 % SZS output start Refutation
% See solution above
% 1.68/1.90 Formulae used in the proof : cls_Yahalom_Ounique__session__keys__dest_3 cls_conjecture_2 cls_conjecture_3 cls_conjecture_4 cls_conjecture_7
% 1.68/1.90
%------------------------------------------------------------------------------