TSTP Solution File: SWV288-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV288-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 21:42:03 EDT 2022
% Result : Unsatisfiable 0.16s 0.36s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 16 ( 10 unt; 2 nHn; 16 RR)
% Number of literals : 27 ( 0 equ; 12 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 18 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('SWV288-2.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('SWV288-2.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('SWV288-2.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_OKey(x))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v,y,c_Message_Omsg_OMPair(w,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(y),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_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,y,c_Message_Omsg_OMPair(w,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v),c_Message_Omsg_OMPair(w,c_Message_Omsg_OKey(x))),c_Message_Omsg_OCrypt(c_Public_OshrK(y),c_Message_Omsg_OMPair(v_sko__u7f(v,y,x,w,u),c_Message_Omsg_OKey(x)))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV288-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(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(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV288-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV288-2.p',unknown),
[] ).
cnf(7,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV288-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV288-2.p',unknown),
[] ).
cnf(9,axiom,
~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(u,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('SWV288-2.p',unknown),
[] ).
cnf(10,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[6,1]),
[iquote('0:Res:6.0,1.0')] ).
cnf(11,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[10,3]),
[iquote('0:Res:10.0,3.0')] ).
cnf(12,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[11,2]),
[iquote('0:Res:11.0,2.0')] ).
cnf(18,plain,
( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(u))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(u))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u7f(v_A,v_B,u,v_NA,v_evs),c_Message_Omsg_OKey(u)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(res,[status(thm),theory(equality)],[5,4]),
[iquote('0:Res:5.0,4.2')] ).
cnf(19,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(u))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(u))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u7f(v_A,v_B,u,v_NA,v_evs),c_Message_Omsg_OKey(u)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(mrr,[status(thm)],[18,8,7]),
[iquote('0:MRR:18.0,18.2,8.0,7.0')] ).
cnf(20,plain,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[19,9]),
[iquote('0:Res:19.1,9.0')] ).
cnf(22,plain,
$false,
inference(mrr,[status(thm)],[20,12]),
[iquote('0:MRR:20.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWV288-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Tue Jun 14 17:08:43 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.36
% 0.16/0.36 SPASS V 3.9
% 0.16/0.36 SPASS beiseite: Proof found.
% 0.16/0.36 % SZS status Theorem
% 0.16/0.36 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.36 SPASS derived 11 clauses, backtracked 0 clauses, performed 0 splits and kept 20 clauses.
% 0.16/0.36 SPASS allocated 63171 KBytes.
% 0.16/0.36 SPASS spent 0:00:00.04 on the problem.
% 0.16/0.36 0:00:00.02 for the input.
% 0.16/0.36 0:00:00.00 for the FLOTTER CNF translation.
% 0.16/0.36 0:00:00.00 for inferences.
% 0.16/0.36 0:00:00.00 for the backtracking.
% 0.16/0.36 0:00:00.00 for the reduction.
% 0.16/0.36
% 0.16/0.36
% 0.16/0.36 Here is a proof with depth 3, length 16 :
% 0.16/0.36 % SZS output start Refutation
% See solution above
% 0.16/0.36 Formulae used in the proof : cls_Event_OSays__imp__analz__Spy__dest_0 cls_Message_OMPair__parts_0 cls_Message_Oanalz__into__parts__dest_0 cls_OtwayRees_ONA__Crypt__imp__Server__msg_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_4
% 0.16/0.36
%------------------------------------------------------------------------------