TSTP Solution File: SWV756-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV756-1 : TPTP v8.1.0. Released v4.1.0.
% 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 21:45:02 EDT 2022
% Result : Unsatisfiable 1.64s 1.90s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 13 RR)
% Number of literals : 20 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(248,axiom,
( ~ hBOOL(c_in(u,c_Message_OsymKeys,tc_nat))
| equal(hAPP(c_Message_OinvKey,u),u) ),
file('SWV756-1.p',unknown),
[] ).
cnf(273,axiom,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(u,v),w,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_OinvKey,u),c_Message_OkeysFor(w),tc_nat)) ),
file('SWV756-1.p',unknown),
[] ).
cnf(470,axiom,
( ~ hBOOL(c_in(u,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(v,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(u,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v))),tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,u),c_Event_Oused(v),tc_Message_Omsg)) ),
file('SWV756-1.p',unknown),
[] ).
cnf(578,axiom,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('SWV756-1.p',unknown),
[] ).
cnf(579,axiom,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('SWV756-1.p',unknown),
[] ).
cnf(580,axiom,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('SWV756-1.p',unknown),
[] ).
cnf(588,axiom,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('SWV756-1.p',unknown),
[] ).
cnf(657,plain,
equal(hAPP(c_Message_OinvKey,v_KAB),v_KAB),
inference(res,[status(thm),theory(equality)],[580,248]),
[iquote('0:Res:580.0,248.0')] ).
cnf(705,plain,
( ~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))
| ~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)) ),
inference(res,[status(thm),theory(equality)],[470,579]),
[iquote('0:Res:470.3,579.0')] ).
cnf(817,plain,
~ hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(mrr,[status(thm)],[705,578,580]),
[iquote('0:MRR:705.1,705.2,578.0,580.0')] ).
cnf(6910,plain,
hBOOL(c_in(hAPP(c_Message_OinvKey,v_KAB),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(res,[status(thm),theory(equality)],[588,273]),
[iquote('0:Res:588.0,273.0')] ).
cnf(6937,plain,
hBOOL(c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(rew,[status(thm),theory(equality)],[657,6910]),
[iquote('0:Rew:657.0,6910.0')] ).
cnf(6938,plain,
$false,
inference(mrr,[status(thm)],[6937,817]),
[iquote('0:MRR:6937.0,817.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV756-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 15 17:36:25 EDT 2022
% 0.14/0.36 % CPUTime :
% 1.64/1.90
% 1.64/1.90 SPASS V 3.9
% 1.64/1.90 SPASS beiseite: Proof found.
% 1.64/1.90 % SZS status Theorem
% 1.64/1.90 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.64/1.90 SPASS derived 5193 clauses, backtracked 0 clauses, performed 0 splits and kept 2054 clauses.
% 1.64/1.90 SPASS allocated 83037 KBytes.
% 1.64/1.90 SPASS spent 0:00:01.48 on the problem.
% 1.64/1.90 0:00:00.06 for the input.
% 1.64/1.90 0:00:00.00 for the FLOTTER CNF translation.
% 1.64/1.90 0:00:00.10 for inferences.
% 1.64/1.90 0:00:00.00 for the backtracking.
% 1.64/1.90 0:00:01.09 for the reduction.
% 1.64/1.90
% 1.64/1.90
% 1.64/1.90 Here is a proof with depth 1, length 13 :
% 1.64/1.90 % SZS output start Refutation
% See solution above
% 1.64/1.90 Formulae used in the proof : cls_invKey__K_0 cls_Crypt__imp__invKey__keysFor_0 cls_new__keys__not__used_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_10
% 1.64/1.90
%------------------------------------------------------------------------------