TSTP Solution File: SWV307-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV307-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 21:42:10 EDT 2022
% Result : Unsatisfiable 0.13s 0.42s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 11 RR)
% Number of literals : 14 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,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('SWV307-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oparts(w),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(w),tc_Message_Omsg) ),
file('SWV307-2.p',unknown),
[] ).
cnf(3,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('SWV307-2.p',unknown),
[] ).
cnf(4,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs2),tc_Message_Omsg),
file('SWV307-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(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_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
file('SWV307-2.p',unknown),
[] ).
cnf(6,axiom,
equal(c_Message_Omsg_ONonce(v_NB),v_NA),
file('SWV307-2.p',unknown),
[] ).
cnf(7,plain,
~ c_in(v_NA,c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[6,4]),
[iquote('0:Rew:6.0,4.0')] ).
cnf(8,plain,
~ c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.1,7.0')] ).
cnf(9,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[5,3]),
[iquote('0:Res:5.0,3.0')] ).
cnf(13,plain,
c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[9,2]),
[iquote('0:Res:9.0,2.0')] ).
cnf(14,plain,
$false,
inference(mrr,[status(thm)],[13,8]),
[iquote('0:MRR:13.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWV307-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n028.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 : Wed Jun 15 16:27:25 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.42
% 0.13/0.42 SPASS V 3.9
% 0.13/0.42 SPASS beiseite: Proof found.
% 0.13/0.42 % SZS status Theorem
% 0.13/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.42 SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 11 clauses.
% 0.13/0.42 SPASS allocated 63098 KBytes.
% 0.13/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.13/0.42 0:00:00.03 for the input.
% 0.13/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.42 0:00:00.00 for inferences.
% 0.13/0.42 0:00:00.00 for the backtracking.
% 0.13/0.42 0:00:00.00 for the reduction.
% 0.13/0.42
% 0.13/0.42
% 0.13/0.42 Here is a proof with depth 2, length 11 :
% 0.13/0.42 % SZS output start Refutation
% See solution above
% 0.13/0.42 Formulae used in the proof : cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0 cls_Message_OMPair__parts_1 cls_Message_Oparts_OBody__dest_0 cls_conjecture_2 cls_conjecture_4 cls_conjecture_6
% 0.13/0.42
%------------------------------------------------------------------------------