%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV340-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 21:42:23 EDT 2022
% Result : Unsatisfiable 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of clauses : 22 ( 14 unt; 0 nHn; 22 RR)
% Number of literals : 31 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 15 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(u,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v)),tc_Message_Omsg)
| c_in(u,c_Event_Oused(v),tc_Message_Omsg) ),
file('SWV340-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oparts(w),tc_Message_Omsg)
| c_in(v,c_Message_Oparts(w),tc_Message_Omsg) ),
file('SWV340-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oparts(w),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(w),tc_Message_Omsg) ),
file('SWV340-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(u,v),c_Message_Oparts(w),tc_Message_Omsg)
| c_in(v,c_Message_Oparts(w),tc_Message_Omsg) ),
file('SWV340-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV340-2.p',unknown),
[] ).
cnf(6,axiom,
equal(c_Message_Oparts(c_Message_Oanalz(u)),c_Message_Oparts(u)),
file('SWV340-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(v,w),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| c_in(w,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg) ),
file('SWV340-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV340-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(c_Event_Oevent_OGets(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV340-2.p',unknown),
[] ).
cnf(10,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs4),tc_Message_Omsg),
file('SWV340-2.p',unknown),
[] ).
cnf(11,axiom,
equal(v_K,v_Ka),
file('SWV340-2.p',unknown),
[] ).
cnf(12,plain,
~ c_in(c_Message_Omsg_OKey(v_Ka),c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[11,10]),
[iquote('0:Rew:11.0,10.0')] ).
cnf(14,plain,
~ c_in(c_Message_Omsg_OKey(v_Ka),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.1,12.0')] ).
cnf(15,plain,
( ~ c_in(v_evs4,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[9,7]),
[iquote('0:Res:9.0,7.1')] ).
cnf(16,plain,
c_in(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(mrr,[status(thm)],[15,8]),
[iquote('0:MRR:15.0,8.0')] ).
cnf(28,plain,
( ~ c_in(c_Message_Omsg_OMPair(u,v),w,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(w),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[5,3]),
[iquote('0:Res:5.1,3.0')] ).
cnf(55,plain,
c_in(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[16,28]),
[iquote('0:Res:16.0,28.0')] ).
cnf(60,plain,
c_in(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_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[6,55]),
[iquote('0:Rew:6.0,55.0')] ).
cnf(66,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[60,4]),
[iquote('0:Res:60.0,4.0')] ).
cnf(92,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[66,2]),
[iquote('0:Res:66.0,2.0')] ).
cnf(124,plain,
c_in(c_Message_Omsg_OKey(v_Ka),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[92,3]),
[iquote('0:Res:92.0,3.0')] ).
cnf(135,plain,
$false,
inference(mrr,[status(thm)],[124,14]),
[iquote('0:MRR:124.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV340-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 18:30:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.42
% 0.19/0.42 SPASS V 3.9
% 0.19/0.42 SPASS beiseite: Proof found.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 SPASS derived 108 clauses, backtracked 0 clauses, performed 0 splits and kept 91 clauses.
% 0.19/0.42 SPASS allocated 63237 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.07 on the problem.
% 0.19/0.42 0:00:00.03 for the input.
% 0.19/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42 0:00:00.00 for inferences.
% 0.19/0.42 0:00:00.00 for the backtracking.
% 0.19/0.42 0:00:00.01 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Here is a proof with depth 5, length 22 :
% 0.19/0.42 % SZS output start Refutation
% See solution above
% 0.19/0.42 Formulae used in the proof : cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0 cls_Message_OMPair__parts_0 cls_Message_OMPair__parts_1 cls_Message_Oparts_OBody__dest_0 cls_Message_Oparts_OInj_0 cls_Message_Oparts__analz_0 cls_Yahalom_OGets__imp__analz__Spy__dest_0 cls_conjecture_1 cls_conjecture_4 cls_conjecture_8 cls_conjecture_9
% 0.19/0.42
%------------------------------------------------------------------------------