TSTP Solution File: SWV302-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV302-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 21:42:08 EDT 2022
% Result : Unsatisfiable 0.70s 0.91s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 10 unt; 1 nHn; 15 RR)
% Number of literals : 21 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( 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_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,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_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| equal(c_Message_Omsg_ONonce(v_NBa),v_NB) ),
file('SWV302-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ 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_A),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_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),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(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV302-1.p',unknown),
[] ).
cnf(13,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NBa),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('SWV302-1.p',unknown),
[] ).
cnf(15,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
file('SWV302-1.p',unknown),
[] ).
cnf(16,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(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
file('SWV302-1.p',unknown),
[] ).
cnf(1380,axiom,
( ~ c_in(u,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v)),tc_Message_Omsg)
| c_in(u,c_Event_Oused(v),tc_Message_Omsg) ),
file('SWV302-1.p',unknown),
[] ).
cnf(1461,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(u,v),c_Message_Oparts(w),tc_Message_Omsg)
| c_in(v,c_Message_Oparts(w),tc_Message_Omsg) ),
file('SWV302-1.p',unknown),
[] ).
cnf(1466,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Event_Oused(w),tc_Message_Omsg)
| c_in(u,c_Event_Oused(w),tc_Message_Omsg) ),
file('SWV302-1.p',unknown),
[] ).
cnf(1494,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_A),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_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs2,tc_Event_Oevent),tc_Event_Oevent),
inference(mrr,[status(thm)],[12,15,16]),
[iquote('0:MRR:12.1,12.2,15.0,16.0')] ).
cnf(1499,plain,
equal(c_Message_Omsg_ONonce(v_NBa),v_NB),
inference(mrr,[status(thm)],[9,1494]),
[iquote('0:MRR:9.0,1494.0')] ).
cnf(1501,plain,
~ c_in(v_NB,c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[1499,13]),
[iquote('0:Rew:1499.0,13.0')] ).
cnf(1553,plain,
~ c_in(c_Message_Omsg_OMPair(v_NB,u),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1466,1501]),
[iquote('0:Res:1466.1,1501.0')] ).
cnf(1593,plain,
c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[15,1461]),
[iquote('0:Res:15.0,1461.0')] ).
cnf(1924,plain,
c_in(c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1593,1380]),
[iquote('0:Res:1593.0,1380.0')] ).
cnf(1928,plain,
$false,
inference(mrr,[status(thm)],[1924,1553]),
[iquote('0:MRR:1924.0,1553.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV302-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 15:36:24 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.70/0.91
% 0.70/0.91 SPASS V 3.9
% 0.70/0.91 SPASS beiseite: Proof found.
% 0.70/0.91 % SZS status Theorem
% 0.70/0.91 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.91 SPASS derived 362 clauses, backtracked 0 clauses, performed 0 splits and kept 1580 clauses.
% 0.70/0.91 SPASS allocated 78349 KBytes.
% 0.70/0.91 SPASS spent 0:00:00.53 on the problem.
% 0.70/0.91 0:00:00.10 for the input.
% 0.70/0.91 0:00:00.00 for the FLOTTER CNF translation.
% 0.70/0.91 0:00:00.03 for inferences.
% 0.70/0.91 0:00:00.00 for the backtracking.
% 0.70/0.91 0:00:00.12 for the reduction.
% 0.70/0.91
% 0.70/0.91
% 0.70/0.91 Here is a proof with depth 2, length 15 :
% 0.70/0.91 % SZS output start Refutation
% See solution above
% 0.70/0.91 Formulae used in the proof : cls_conjecture_13 cls_conjecture_16 cls_conjecture_2 cls_conjecture_4 cls_conjecture_5 cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0 cls_Message_Oparts_OBody__dest_0 cls_Public_OMPair__used_1
% 0.70/0.91
%------------------------------------------------------------------------------