TSTP Solution File: SWV347-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV347-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 21:42:25 EDT 2022
% Result : Unsatisfiable 1.76s 1.95s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 9 unt; 2 nHn; 12 RR)
% Number of literals : 20 ( 0 equ; 8 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 39 ( 39 usr; 28 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('SWV347-1.p',unknown),
[] ).
cnf(4,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV347-1.p',unknown),
[] ).
cnf(7,axiom,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('SWV347-1.p',unknown),
[] ).
cnf(9,axiom,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('SWV347-1.p',unknown),
[] ).
cnf(10,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('SWV347-1.p',unknown),
[] ).
cnf(11,axiom,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
file('SWV347-1.p',unknown),
[] ).
cnf(2968,axiom,
( ~ c_in(u,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(v,c_Message_Omsg_OMPair(w,c_Message_Omsg_OCrypt(c_Public_OshrK(x),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(y),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(z),x1))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(x2,x3,c_Message_Omsg_OMPair(x4,c_Message_Omsg_OCrypt(c_Public_OshrK(x5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x6),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(x7),x1))))),c_List_Oset(u,tc_Event_Oevent),tc_Event_Oevent)
| equal(y,x6)
| c_in(x1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,u)),tc_Message_Omsg) ),
file('SWV347-1.p',unknown),
[] ).
cnf(3485,plain,
( ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(u,c_Message_Omsg_OMPair(v,c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(y),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| equal(x,v_A) ),
inference(res,[status(thm),theory(equality)],[9,2968]),
[iquote('0:Res:9.0,2968.2')] ).
cnf(3502,plain,
( ~ c_in(c_Event_Oevent_OGets(u,c_Message_Omsg_OMPair(v,c_Message_Omsg_OCrypt(c_Public_OshrK(w),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(x),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(y),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| equal(x,v_A) ),
inference(mrr,[status(thm)],[3485,4,10]),
[iquote('0:MRR:3485.0,3485.2,4.0,10.0')] ).
cnf(3590,plain,
equal(v_Aa,v_A),
inference(res,[status(thm),theory(equality)],[7,3502]),
[iquote('0:Res:7.0,3502.0')] ).
cnf(3633,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(rew,[status(thm),theory(equality)],[3590,11]),
[iquote('0:Rew:3590.0,11.0')] ).
cnf(3704,plain,
$false,
inference(mrr,[status(thm)],[3633,1]),
[iquote('0:MRR:3633.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV347-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.32 % Computer : n020.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Wed Jun 15 00:31:19 EDT 2022
% 0.13/0.32 % CPUTime :
% 1.76/1.95
% 1.76/1.95 SPASS V 3.9
% 1.76/1.95 SPASS beiseite: Proof found.
% 1.76/1.95 % SZS status Theorem
% 1.76/1.95 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.95 SPASS derived 403 clauses, backtracked 0 clauses, performed 0 splits and kept 3033 clauses.
% 1.76/1.95 SPASS allocated 80618 KBytes.
% 1.76/1.95 SPASS spent 0:00:01.55 on the problem.
% 1.76/1.95 0:00:00.24 for the input.
% 1.76/1.95 0:00:00.00 for the FLOTTER CNF translation.
% 1.76/1.95 0:00:00.00 for inferences.
% 1.76/1.95 0:00:00.00 for the backtracking.
% 1.76/1.95 0:00:00.70 for the reduction.
% 1.76/1.95
% 1.76/1.95
% 1.76/1.95 Here is a proof with depth 2, length 12 :
% 1.76/1.95 % SZS output start Refutation
% See solution above
% 1.76/1.95 Formulae used in the proof : cls_conjecture_0 cls_conjecture_2 cls_conjecture_5 cls_conjecture_7 cls_conjecture_8 cls_conjecture_9 cls_Yahalom_OSays__unique__NB_1
% 1.76/1.95
%------------------------------------------------------------------------------