TSTP Solution File: SWV298-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV298-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 21:42:07 EDT 2022
% Result : Unsatisfiable 0.22s 0.44s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 26 ( 16 unt; 3 nHn; 26 RR)
% Number of literals : 44 ( 0 equ; 18 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 19 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('SWV298-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(u,c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV298-2.p',unknown),
[] ).
cnf(3,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('SWV298-2.p',unknown),
[] ).
cnf(4,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('SWV298-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(u,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(w,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OAgent(x)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(w,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OAgent(y)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
| equal(x,y)
| c_in(v,c_Event_Obad,tc_Message_Oagent) ),
file('SWV298-2.p',unknown),
[] ).
cnf(6,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV298-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV298-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('SWV298-2.p',unknown),
[] ).
cnf(9,axiom,
c_in(c_Event_Oevent_OSays(v_Aa,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('SWV298-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ equal(u,c_Message_Omsg_ONonce(v_NB))
| ~ equal(v_Ba,v_B) ),
file('SWV298-2.p',unknown),
[] ).
cnf(11,plain,
~ equal(v_Ba,v_B),
inference(aed,[status(thm),theory(equality)],[10]),
[iquote('0:AED:10.0')] ).
cnf(12,plain,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oanalz(w),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(w),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[2,4]),
[iquote('0:Res:2.1,4.0')] ).
cnf(13,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[8,1]),
[iquote('0:Res:8.0,1.0')] ).
cnf(14,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[9,1]),
[iquote('0:Res:9.0,1.0')] ).
cnf(16,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[13,3]),
[iquote('0:Res:13.0,3.0')] ).
cnf(18,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[16,3]),
[iquote('0:Res:16.0,3.0')] ).
cnf(19,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(u),c_Message_Omsg_OMPair(v,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(u),c_Message_Omsg_OAgent(w)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,x)),tc_Message_Omsg)
| ~ c_in(x,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(u),c_Message_Omsg_OMPair(v,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(u),c_Message_Omsg_OAgent(y)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,x)),tc_Message_Omsg)
| equal(w,y)
| c_in(u,c_Event_Obad,tc_Message_Oagent) ),
inference(res,[status(thm),theory(equality)],[2,5]),
[iquote('0:Res:2.1,5.1')] ).
cnf(21,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[18,3]),
[iquote('0:Res:18.0,3.0')] ).
cnf(23,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[14,3]),
[iquote('0:Res:14.0,3.0')] ).
cnf(24,plain,
( ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(u)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| equal(v_B,u)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(res,[status(thm),theory(equality)],[21,19]),
[iquote('0:Res:21.0,19.0')] ).
cnf(25,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(u)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| equal(v_B,u) ),
inference(mrr,[status(thm)],[24,7,6]),
[iquote('0:MRR:24.0,24.3,7.0,6.0')] ).
cnf(29,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[23,3]),
[iquote('0:Res:23.0,3.0')] ).
cnf(31,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[29,3]),
[iquote('0:Res:29.0,3.0')] ).
cnf(32,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[31,12]),
[iquote('0:Res:31.0,12.0')] ).
cnf(35,plain,
equal(v_Ba,v_B),
inference(res,[status(thm),theory(equality)],[32,25]),
[iquote('0:Res:32.0,25.0')] ).
cnf(36,plain,
$false,
inference(mrr,[status(thm)],[35,11]),
[iquote('0:MRR:35.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV298-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.15 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jun 14 21:59:48 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.44
% 0.22/0.44 SPASS V 3.9
% 0.22/0.44 SPASS beiseite: Proof found.
% 0.22/0.44 % SZS status Theorem
% 0.22/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.44 SPASS derived 23 clauses, backtracked 0 clauses, performed 0 splits and kept 30 clauses.
% 0.22/0.44 SPASS allocated 63173 KBytes.
% 0.22/0.44 SPASS spent 0:00:00.07 on the problem.
% 0.22/0.44 0:00:00.04 for the input.
% 0.22/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.44 0:00:00.00 for inferences.
% 0.22/0.44 0:00:00.00 for the backtracking.
% 0.22/0.44 0:00:00.01 for the reduction.
% 0.22/0.44
% 0.22/0.44
% 0.22/0.44 Here is a proof with depth 6, length 26 :
% 0.22/0.44 % SZS output start Refutation
% See solution above
% 0.22/0.45 Formulae used in the proof : cls_Event_OSays__imp__analz__Spy__dest_0 cls_Message_Oanalz__into__parts__dest_0 cls_Message_OMPair__analz_0 cls_Message_OMPair__parts_1 cls_OtwayRees_Ounique__NA__dest_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_3 cls_conjecture_4 cls_conjecture_7
% 0.22/0.45
%------------------------------------------------------------------------------