TSTP Solution File: SWV306-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV306-1 : 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 21:42:10 EDT 2022
% Result : Unsatisfiable 31.14s 31.38s
% Output : Refutation 31.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 15 RR)
% Number of literals : 19 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('SWV306-1.p',unknown),
[] ).
cnf(6,axiom,
equal(c_Message_Omsg_ONonce(v_NAa),v_NA),
file('SWV306-1.p',unknown),
[] ).
cnf(7,axiom,
equal(v_Aa,v_A),
file('SWV306-1.p',unknown),
[] ).
cnf(9,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_Aa))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
file('SWV306-1.p',unknown),
[] ).
cnf(1370,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('SWV306-1.p',unknown),
[] ).
cnf(1410,axiom,
( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oparts(w),tc_Message_Omsg)
| c_in(v,c_Message_Oparts(w),tc_Message_Omsg) ),
file('SWV306-1.p',unknown),
[] ).
cnf(1411,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('SWV306-1.p',unknown),
[] ).
cnf(1451,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('SWV306-1.p',unknown),
[] ).
cnf(1481,plain,
~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[6,4]),
[iquote('0:Rew:6.0,4.0')] ).
cnf(1483,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(rew,[status(thm),theory(equality)],[6,9,7]),
[iquote('0:Rew:6.0,9.0,7.0,9.0')] ).
cnf(1529,plain,
~ c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1370,1481]),
[iquote('0:Res:1370.1,1481.0')] ).
cnf(1569,plain,
c_in(c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1483,1451]),
[iquote('0:Res:1483.0,1451.0')] ).
cnf(22544,plain,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1569,1410]),
[iquote('0:Res:1569.0,1410.0')] ).
cnf(23183,plain,
c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[22544,1411]),
[iquote('0:Res:22544.0,1411.0')] ).
cnf(23204,plain,
$false,
inference(mrr,[status(thm)],[23183,1529]),
[iquote('0:MRR:23183.0,1529.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV306-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13 % 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 : Wed Jun 15 06:33:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 31.14/31.38
% 31.14/31.38 SPASS V 3.9
% 31.14/31.38 SPASS beiseite: Proof found.
% 31.14/31.38 % SZS status Theorem
% 31.14/31.38 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 31.14/31.38 SPASS derived 19562 clauses, backtracked 0 clauses, performed 0 splits and kept 13185 clauses.
% 31.14/31.38 SPASS allocated 100373 KBytes.
% 31.14/31.38 SPASS spent 0:0:29.76 on the problem.
% 31.14/31.38 0:00:00.09 for the input.
% 31.14/31.38 0:00:00.00 for the FLOTTER CNF translation.
% 31.14/31.38 0:00:00.43 for inferences.
% 31.14/31.38 0:00:00.00 for the backtracking.
% 31.14/31.38 0:0:28.71 for the reduction.
% 31.14/31.38
% 31.14/31.38
% 31.14/31.38 Here is a proof with depth 3, length 15 :
% 31.14/31.38 % SZS output start Refutation
% See solution above
% 31.14/31.38 Formulae used in the proof : cls_conjecture_2 cls_conjecture_4 cls_conjecture_5 cls_conjecture_7 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_0 cls_Message_OMPair__parts_1 cls_Message_Oparts_OBody__dest_0
% 31.14/31.38
%------------------------------------------------------------------------------