TSTP Solution File: SWV323-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV323-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 21:42:16 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of clauses : 39 ( 19 unt; 3 nHn; 39 RR)
% Number of literals : 62 ( 0 equ; 28 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 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('SWV323-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(u,c_Message_Osynth(c_Message_Oanalz(v)),tc_Message_Omsg)
| ~ c_in(w,c_Message_Oparts(c_insert(u,v,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(w,c_union(c_Message_Osynth(c_Message_Oanalz(v)),c_Message_Oparts(v),tc_Message_Omsg),tc_Message_Omsg) ),
file('SWV323-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OKey(u),c_Message_Osynth(v),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(u),v,tc_Message_Omsg) ),
file('SWV323-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Osynth(c_Message_Oanalz(w)),tc_Message_Omsg)
| c_in(u,c_Message_Osynth(c_Message_Oanalz(w)),tc_Message_Omsg) ),
file('SWV323-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Osynth(c_Message_Oanalz(w)),tc_Message_Omsg)
| c_in(v,c_Message_Osynth(c_Message_Oanalz(w)),tc_Message_Omsg) ),
file('SWV323-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(u,c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV323-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV323-2.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Osynth(v),tc_Message_Omsg) ),
file('SWV323-2.p',unknown),
[] ).
cnf(9,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('SWV323-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ c_in(u,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(u)),c_Event_Oknows(c_Message_Oagent_OSpy,v),tc_Message_Omsg) ),
file('SWV323-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ c_in(u,c_union(v,w,x),x)
| c_in(u,v,x)
| c_in(u,w,x) ),
file('SWV323-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_insert(x,v,w),w) ),
file('SWV323-2.p',unknown),
[] ).
cnf(13,axiom,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('SWV323-2.p',unknown),
[] ).
cnf(14,axiom,
c_in(c_Event_Oevent_OGets(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_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('SWV323-2.p',unknown),
[] ).
cnf(15,axiom,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV323-2.p',unknown),
[] ).
cnf(16,axiom,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
file('SWV323-2.p',unknown),
[] ).
cnf(17,axiom,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ),
file('SWV323-2.p',unknown),
[] ).
cnf(19,plain,
( ~ c_in(c_Event_Oevent_OGets(u,v),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(v_sko__usf(u,v,v_evs4),u,v),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(res,[status(thm),theory(equality)],[13,9]),
[iquote('0:Res:13.0,9.0')] ).
cnf(23,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(spt,[spt(split,[position(s1)])],[17]),
[iquote('1:Spt:17.0')] ).
cnf(24,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
inference(mrr,[status(thm)],[16,23]),
[iquote('1:MRR:16.0,23.0')] ).
cnf(27,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[7,24]),
[iquote('1:Res:7.1,24.0')] ).
cnf(28,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[12,27]),
[iquote('1:Res:12.1,27.0')] ).
cnf(29,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(res,[status(thm),theory(equality)],[10,28]),
[iquote('1:Res:10.1,28.0')] ).
cnf(30,plain,
$false,
inference(mrr,[status(thm)],[29,23]),
[iquote('1:MRR:29.0,23.0')] ).
cnf(31,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(spt,[spt(split,[position(sa)])],[30,23]),
[iquote('1:Spt:30.0,17.0,23.0')] ).
cnf(32,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
inference(spt,[spt(split,[position(s2)])],[17]),
[iquote('1:Spt:30.0,17.1')] ).
cnf(33,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(mrr,[status(thm)],[15,31]),
[iquote('1:MRR:15.1,31.0')] ).
cnf(34,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[6,33]),
[iquote('1:Res:6.1,33.0')] ).
cnf(37,plain,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oanalz(w),tc_Message_Omsg)
| c_in(v,c_Message_Osynth(c_Message_Oanalz(w)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[8,5]),
[iquote('0:Res:8.1,5.0')] ).
cnf(39,plain,
( ~ c_in(c_Event_Oevent_OGets(u,v),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[19,1]),
[iquote('0:Res:19.1,1.0')] ).
cnf(40,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_evs4)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[14,39]),
[iquote('0:Res:14.0,39.0')] ).
cnf(42,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_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[40,37]),
[iquote('0:Res:40.0,37.0')] ).
cnf(45,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[32,2]),
[iquote('1:Res:32.0,2.1')] ).
cnf(46,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[42,4]),
[iquote('0:Res:42.0,4.0')] ).
cnf(48,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg),
inference(mrr,[status(thm)],[45,46]),
[iquote('1:MRR:45.0,46.0')] ).
cnf(50,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[48,11]),
[iquote('1:Res:48.0,11.0')] ).
cnf(51,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference(mrr,[status(thm)],[50,33]),
[iquote('1:MRR:50.1,33.0')] ).
cnf(52,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[51,3]),
[iquote('1:Res:51.0,3.0')] ).
cnf(53,plain,
$false,
inference(mrr,[status(thm)],[52,34]),
[iquote('1:MRR:52.0,34.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV323-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.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 : Wed Jun 15 03:30:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 27 clauses, backtracked 4 clauses, performed 1 splits and kept 45 clauses.
% 0.19/0.43 SPASS allocated 63168 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.07 on the problem.
% 0.19/0.43 0:00:00.04 for the input.
% 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.00 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 5, length 39 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : cls_Event_OSays__imp__analz__Spy__dest_0 cls_Message_OFake__parts__insert__in__Un__dest_0 cls_Message_OKey__synth_0 cls_Message_OMPair__synth__analz__iff1_0 cls_Message_OMPair__synth__analz__iff1_1 cls_Message_Oanalz__into__parts__dest_0 cls_Message_Oparts_OInj_0 cls_Message_Osynth_OInj_0 cls_OtwayRees_OGets__imp__Says__dest_0 cls_Public_OSpy__spies__bad__shrK_0 cls_Set_OUnE_0 cls_Set_OinsertCI_0 cls_conjecture_0 cls_conjecture_3 cls_conjecture_4 cls_conjecture_6 cls_conjecture_7
% 0.19/0.43
%------------------------------------------------------------------------------