%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV329-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 21:42:19 EDT 2022
% Result : Unsatisfiable 0.19s 0.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 10 unt; 4 nHn; 19 RR)
% Number of literals : 32 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 15 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(u,v),c_Message_Osynth(w),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(u),w,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(u,v),w,tc_Message_Omsg) ),
file('SWV329-2.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('SWV329-2.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('SWV329-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(u,c_union(v,w,x),x)
| c_in(u,v,x)
| c_in(u,w,x) ),
file('SWV329-2.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg)
| c_in(v,c_Event_Obad,tc_Message_Oagent) ),
file('SWV329-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(v_evsf,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV329-2.p',unknown),
[] ).
cnf(7,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('SWV329-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
file('SWV329-2.p',unknown),
[] ).
cnf(9,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('SWV329-2.p',unknown),
[] ).
cnf(10,axiom,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
file('SWV329-2.p',unknown),
[] ).
cnf(11,plain,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[5,9]),
[iquote('0:Res:5.2,9.0')] ).
cnf(16,plain,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[3,10]),
[iquote('0:Res:3.1,10.0')] ).
cnf(21,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[6,11]),
[iquote('0:Res:6.0,11.0')] ).
cnf(25,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[8,2]),
[iquote('0:Res:8.0,2.1')] ).
cnf(26,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
inference(mrr,[status(thm)],[25,7]),
[iquote('0:MRR:25.0,7.0')] ).
cnf(27,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[26,4]),
[iquote('0:Res:26.0,4.0')] ).
cnf(28,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(mrr,[status(thm)],[27,10]),
[iquote('0:MRR:27.1,10.0')] ).
cnf(29,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[28,1]),
[iquote('0:Res:28.0,1.0')] ).
cnf(30,plain,
$false,
inference(mrr,[status(thm)],[29,21,16]),
[iquote('0:MRR:29.0,29.1,21.0,16.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV329-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 14 18:15:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.41
% 0.19/0.41 SPASS V 3.9
% 0.19/0.41 SPASS beiseite: Proof found.
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.41 SPASS derived 15 clauses, backtracked 0 clauses, performed 0 splits and kept 23 clauses.
% 0.19/0.41 SPASS allocated 63133 KBytes.
% 0.19/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.41 0:00:00.04 for the input.
% 0.19/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41 0:00:00.00 for inferences.
% 0.19/0.41 0:00:00.00 for the backtracking.
% 0.19/0.41 0:00:00.00 for the reduction.
% 0.19/0.41
% 0.19/0.41
% 0.19/0.41 Here is a proof with depth 3, length 19 :
% 0.19/0.41 % SZS output start Refutation
% See solution above
% 0.19/0.41 Formulae used in the proof : cls_Message_OCrypt__synth__eq_0 cls_Message_OFake__parts__insert__in__Un__dest_0 cls_Message_Oanalz__conj__parts_0 cls_Set_OUn__iff_0 cls_Yahalom_OSpy__analz__shrK_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_4 cls_conjecture_5 cls_conjecture_6
% 0.19/0.41
%------------------------------------------------------------------------------