TSTP Solution File: SWV319-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV319-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 21:42:15 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 11 unt; 1 nHn; 19 RR)
% Number of literals : 27 ( 0 equ; 10 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 17 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_Event_Oevent_OSays(u,v,w),c_List_Oset(x,tc_Event_Oevent),tc_Event_Oevent)
| c_in(w,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,x)),tc_Message_Omsg) ),
file('SWV319-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oanalz(w),tc_Message_Omsg)
| c_in(v,c_Message_Oanalz(w),tc_Message_Omsg) ),
file('SWV319-2.p',unknown),
[] ).
cnf(3,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('SWV319-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(u,c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV319-2.p',unknown),
[] ).
cnf(5,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('SWV319-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('SWV319-2.p',unknown),
[] ).
cnf(7,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV319-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV319-2.p',unknown),
[] ).
cnf(9,axiom,
( equal(c_Public_OshrK(v_A),v_K)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV319-2.p',unknown),
[] ).
cnf(10,plain,
equal(c_Public_OshrK(v_A),v_K),
inference(mrr,[status(thm)],[9,7]),
[iquote('0:MRR:9.1,7.0')] ).
cnf(11,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(rew,[status(thm),theory(equality)],[10,8]),
[iquote('0:Rew:10.0,8.0')] ).
cnf(12,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(mrr,[status(thm)],[11,7]),
[iquote('0:MRR:11.1,7.0')] ).
cnf(14,plain,
~ c_in(c_Message_Omsg_OMPair(u,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[3,12]),
[iquote('0:Res:3.1,12.0')] ).
cnf(16,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[6,1]),
[iquote('0:Res:6.0,1.0')] ).
cnf(19,plain,
c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[16,2]),
[iquote('0:Res:16.0,2.0')] ).
cnf(21,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[19,2]),
[iquote('0:Res:19.0,2.0')] ).
cnf(22,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[21,4]),
[iquote('0:Res:21.0,4.0')] ).
cnf(24,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[22,5]),
[iquote('0:Res:22.0,5.0')] ).
cnf(25,plain,
$false,
inference(mrr,[status(thm)],[24,14]),
[iquote('0:MRR:24.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV319-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n018.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 : Tue Jun 14 20:02:14 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.42
% 0.20/0.42 SPASS V 3.9
% 0.20/0.42 SPASS beiseite: Proof found.
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 19 clauses.
% 0.20/0.42 SPASS allocated 63126 KBytes.
% 0.20/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.20/0.42 0:00:00.04 for the input.
% 0.20/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42 0:00:00.00 for inferences.
% 0.20/0.42 0:00:00.00 for the backtracking.
% 0.20/0.42 0:00:00.00 for the reduction.
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Here is a proof with depth 5, length 19 :
% 0.20/0.42 % SZS output start Refutation
% See solution above
% 0.20/0.42 Formulae used in the proof : cls_Event_OSays__imp__analz__Spy__dest_0 cls_Message_OMPair__analz_0 cls_Message_OMPair__parts_0 cls_Message_Oanalz__conj__parts_0 cls_Message_Oparts_OBody__dest_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_6
% 0.20/0.42
%------------------------------------------------------------------------------