TSTP Solution File: SWV309-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV309-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 21:42:11 EDT 2022
% Result : Unsatisfiable 0.22s 0.87s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 4 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,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_evsf,tc_Event_Oevent),tc_Event_Oevent),
file('SWV309-1.p',unknown),
[] ).
cnf(8,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_evsf,tc_Event_Oevent),tc_Event_Oevent),
file('SWV309-1.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(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| 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_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('SWV309-1.p',unknown),
[] ).
cnf(1484,plain,
$false,
inference(mrr,[status(thm)],[9,7,8]),
[iquote('0:MRR:9.0,9.1,7.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.34 % Problem : SWV309-1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.35 % Command : run_spass %d %s
% 0.20/0.57 % Computer : n027.cluster.edu
% 0.20/0.57 % Model : x86_64 x86_64
% 0.20/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.57 % Memory : 8042.1875MB
% 0.20/0.57 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.57 % CPULimit : 300
% 0.20/0.57 % WCLimit : 600
% 0.20/0.57 % DateTime : Wed Jun 15 12:51:20 EDT 2022
% 0.20/0.57 % CPUTime :
% 0.22/0.87
% 0.22/0.87 SPASS V 3.9
% 0.22/0.87 SPASS beiseite: Proof found.
% 0.22/0.87 % SZS status Theorem
% 0.22/0.87 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.87 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 1425 clauses.
% 0.22/0.87 SPASS allocated 77921 KBytes.
% 0.22/0.87 SPASS spent 0:00:00.27 on the problem.
% 0.22/0.87 0:00:00.09 for the input.
% 0.22/0.87 0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.87 0:00:00.00 for inferences.
% 0.22/0.87 0:00:00.00 for the backtracking.
% 0.22/0.87 0:00:00.09 for the reduction.
% 0.22/0.87
% 0.22/0.87
% 0.22/0.87 Here is a proof with depth 0, length 4 :
% 0.22/0.87 % SZS output start Refutation
% See solution above
% 0.22/0.87 Formulae used in the proof : cls_conjecture_3 cls_conjecture_4 cls_conjecture_5
% 0.22/0.87
%------------------------------------------------------------------------------