TSTP Solution File: SWV311-2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV311-2 : 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 21:42:12 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 25 ( 17 unt; 1 nHn; 25 RR)
% Number of literals : 38 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 34 ( 34 usr; 20 con; 0-5 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('SWV311-2.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('SWV311-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(u,c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV311-2.p',unknown),
[] ).
cnf(4,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(x,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(y),c_Message_Omsg_OAgent(v))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
| c_in(v,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(v,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(w,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(y),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OMPair(v_sko__u__1(y,v,w,x,u),c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(w,c_Message_Omsg_OMPair(x,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(y),c_Message_Omsg_OAgent(v)))))))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV311-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(u,c_OtwayRees_Ootway,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(c_Event_Oevent_OSays(v_sko__usf(v,w,u),v,w),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV311-2.p',unknown),
[] ).
cnf(6,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV311-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV311-2.p',unknown),
[] ).
cnf(8,axiom,
equal(c_Message_Omsg_ONonce(v_NBa),v_NB),
file('SWV311-2.p',unknown),
[] ).
cnf(9,axiom,
~ c_in(c_Event_Oevent_OSays(v_Ba,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(u,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('SWV311-2.p',unknown),
[] ).
cnf(10,axiom,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('SWV311-2.p',unknown),
[] ).
cnf(11,axiom,
equal(v_Ba,v_B),
file('SWV311-2.p',unknown),
[] ).
cnf(12,axiom,
equal(c_Message_Omsg_ONonce(v_NAa),v_NA),
file('SWV311-2.p',unknown),
[] ).
cnf(13,plain,
~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(u,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(rew,[status(thm),theory(equality)],[12,9,8,11]),
[iquote('0:Rew:12.0,9.0,8.0,9.0,11.0,9.0')] ).
cnf(14,plain,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(rew,[status(thm),theory(equality)],[12,10,8,11]),
[iquote('0:Rew:12.0,10.0,8.0,10.0,11.0,10.0')] ).
cnf(18,plain,
( ~ c_in(u,c_OtwayRees_Ootway,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) ),
inference(res,[status(thm),theory(equality)],[5,1]),
[iquote('0:Res:5.2,1.0')] ).
cnf(19,plain,
( ~ c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),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)],[14,18]),
[iquote('0:Res:14.0,18.1')] ).
cnf(20,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(mrr,[status(thm)],[19,7]),
[iquote('0:MRR:19.0,7.0')] ).
cnf(21,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),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)],[20,2]),
[iquote('0:Res:20.0,2.0')] ).
cnf(22,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),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)],[21,2]),
[iquote('0:Res:21.0,2.0')] ).
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_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
inference(res,[status(thm),theory(equality)],[4,13]),
[iquote('0:Res:4.3,13.0')] ).
cnf(25,plain,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(mrr,[status(thm)],[24,7,6]),
[iquote('0:MRR:24.0,24.2,7.0,6.0')] ).
cnf(26,plain,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),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)],[3,25]),
[iquote('0:Res:3.1,25.0')] ).
cnf(27,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),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)],[22,2]),
[iquote('0:Res:22.0,2.0')] ).
cnf(28,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),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)],[27,2]),
[iquote('0:Res:27.0,2.0')] ).
cnf(29,plain,
$false,
inference(mrr,[status(thm)],[28,26]),
[iquote('0:MRR:28.0,26.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SWV311-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.09 % Command : run_spass %d %s
% 0.08/0.29 % Computer : n024.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Tue Jun 14 21:55:33 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.13/0.35
% 0.13/0.35 SPASS V 3.9
% 0.13/0.35 SPASS beiseite: Proof found.
% 0.13/0.35 % SZS status Theorem
% 0.13/0.35 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 21 clauses.
% 0.13/0.35 SPASS allocated 63213 KBytes.
% 0.13/0.35 SPASS spent 0:00:00.05 on the problem.
% 0.13/0.35 0:00:00.03 for the input.
% 0.13/0.35 0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.35 0:00:00.00 for inferences.
% 0.13/0.35 0:00:00.00 for the backtracking.
% 0.13/0.35 0:00:00.00 for the reduction.
% 0.13/0.35
% 0.13/0.35
% 0.13/0.35 Here is a proof with depth 6, length 25 :
% 0.13/0.35 % SZS output start Refutation
% See solution above
% 0.13/0.35 Formulae used in the proof : cls_Event_OSays__imp__analz__Spy__dest_0 cls_Message_OMPair__analz_0 cls_Message_Oanalz__into__parts__dest_0 cls_OtwayRees_OCrypt__imp__OR2__dest_0 cls_OtwayRees_OGets__imp__Says__dest_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_10 cls_conjecture_12 cls_conjecture_3 cls_conjecture_4 cls_conjecture_5
% 0.13/0.35
%------------------------------------------------------------------------------