%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV353-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 21:42:27 EDT 2022
% Result : Unsatisfiable 2.09s 2.26s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 9 unt; 1 nHn; 15 RR)
% Number of literals : 28 ( 0 equ; 17 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 42 ( 42 usr; 29 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV353-1.p',unknown),
[] ).
cnf(4,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_NAa),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('SWV353-1.p',unknown),
[] ).
cnf(6,axiom,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('SWV353-1.p',unknown),
[] ).
cnf(7,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
file('SWV353-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ equal(u,c_Message_Omsg_OKey(v_K))
| ~ equal(v_NA,v_NAa) ),
file('SWV353-1.p',unknown),
[] ).
cnf(1181,axiom,
~ equal(c_Datatype_Ooption_OSome(u,v),c_Datatype_Ooption_ONone),
file('SWV353-1.p',unknown),
[] ).
cnf(2963,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(x,c_Message_Omsg_OMPair(y,z)))),x1)),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(w),c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OMPair(y,z))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV353-1.p',unknown),
[] ).
cnf(2964,axiom,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(v,c_Message_Omsg_OMPair(w,c_Message_Omsg_OCrypt(c_Public_OshrK(x),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(y),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(z),x1))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(x2,x3,c_Message_Omsg_OMPair(x4,c_Message_Omsg_OCrypt(c_Public_OshrK(x5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(x7),x1))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| equal(z,x7)
| c_in(x1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg) ),
file('SWV353-1.p',unknown),
[] ).
cnf(2999,plain,
~ equal(v_NA,v_NAa),
inference(aed,[status(thm),theory(equality)],[1181,8]),
[iquote('0:AED:1181.0,8.0')] ).
cnf(3360,plain,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(v,c_Message_Omsg_OMPair(w,c_Message_Omsg_OCrypt(c_Public_OshrK(x),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(y),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),z))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(x1,x2,c_Message_Omsg_OMPair(x3,c_Message_Omsg_OCrypt(c_Public_OshrK(x4),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x5),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),z))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| c_in(z,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[2964,2999]),
[iquote('0:Res:2964.4,2999.0')] ).
cnf(3592,plain,
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
inference(res,[status(thm),theory(equality)],[4,2963]),
[iquote('0:Res:4.0,2963.1')] ).
cnf(3601,plain,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(mrr,[status(thm)],[3592,3]),
[iquote('0:MRR:3592.0,3.0')] ).
cnf(3707,plain,
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(u,c_Message_Omsg_OMPair(v,c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[6,3360]),
[iquote('0:Res:6.0,3360.2')] ).
cnf(3738,plain,
~ c_in(c_Event_Oevent_OGets(u,c_Message_Omsg_OMPair(v,c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(mrr,[status(thm)],[3707,3,7]),
[iquote('0:MRR:3707.0,3707.2,3.0,7.0')] ).
cnf(3739,plain,
$false,
inference(unc,[status(thm)],[3738,3601]),
[iquote('0:UnC:3738.0,3601.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV353-1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 21:50:16 EDT 2022
% 0.14/0.36 % CPUTime :
% 2.09/2.26
% 2.09/2.26 SPASS V 3.9
% 2.09/2.26 SPASS beiseite: Proof found.
% 2.09/2.26 % SZS status Theorem
% 2.09/2.26 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.09/2.26 SPASS derived 453 clauses, backtracked 0 clauses, performed 0 splits and kept 3085 clauses.
% 2.09/2.26 SPASS allocated 80761 KBytes.
% 2.09/2.26 SPASS spent 0:00:01.81 on the problem.
% 2.09/2.26 0:00:00.23 for the input.
% 2.09/2.26 0:00:00.00 for the FLOTTER CNF translation.
% 2.09/2.26 0:00:00.00 for inferences.
% 2.09/2.26 0:00:00.00 for the backtracking.
% 2.09/2.26 0:00:00.77 for the reduction.
% 2.09/2.26
% 2.09/2.26
% 2.09/2.26 Here is a proof with depth 2, length 15 :
% 2.09/2.26 % SZS output start Refutation
% See solution above
% 2.09/2.26 Formulae used in the proof : cls_conjecture_2 cls_conjecture_3 cls_conjecture_5 cls_conjecture_6 cls_conjecture_8 cls_Datatype_Ooption_Odistinct__1_0 cls_Yahalom_OSays__Server__imp__YM2_0 cls_Yahalom_OSays__unique__NB_0
% 2.09/2.26
%------------------------------------------------------------------------------