TSTP Solution File: SWV768-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV768-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 21:45:05 EDT 2022
% Result : Unsatisfiable 0.38s 0.61s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 12 RR)
% Number of literals : 19 ( 0 equ; 9 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 : 24 ( 24 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(337,axiom,
( ~ hBOOL(c_in(u,c_Message_OsymKeys,tc_nat))
| equal(c_Message_OinvKey(u),u) ),
file('SWV768-1.p',unknown),
[] ).
cnf(390,axiom,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(u,v),w,tc_Message_Omsg))
| hBOOL(c_in(c_Message_OinvKey(u),c_Message_OkeysFor(w),tc_nat)) ),
file('SWV768-1.p',unknown),
[] ).
cnf(445,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('SWV768-1.p',unknown),
[] ).
cnf(564,axiom,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('SWV768-1.p',unknown),
[] ).
cnf(565,axiom,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('SWV768-1.p',unknown),
[] ).
cnf(566,axiom,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('SWV768-1.p',unknown),
[] ).
cnf(576,axiom,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('SWV768-1.p',unknown),
[] ).
cnf(625,plain,
equal(c_Message_OinvKey(v_KAB),v_KAB),
inference(res,[status(thm),theory(equality)],[566,337]),
[iquote('0:Res:566.0,337.0')] ).
cnf(707,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)],[445,565]),
[iquote('0:Res:445.3,565.0')] ).
cnf(762,plain,
hBOOL(c_in(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)],[576,390]),
[iquote('0:Res:576.0,390.0')] ).
cnf(840,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)],[625,762]),
[iquote('0:Rew:625.0,762.0')] ).
cnf(846,plain,
$false,
inference(mrr,[status(thm)],[707,840,564,566]),
[iquote('0:MRR:707.0,707.1,707.2,840.0,564.0,566.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV768-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n004.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 04:18:09 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/0.61
% 0.38/0.61 SPASS V 3.9
% 0.38/0.61 SPASS beiseite: Proof found.
% 0.38/0.61 % SZS status Theorem
% 0.38/0.61 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.61 SPASS derived 194 clauses, backtracked 0 clauses, performed 0 splits and kept 543 clauses.
% 0.38/0.61 SPASS allocated 77284 KBytes.
% 0.38/0.61 SPASS spent 0:00:00.24 on the problem.
% 0.38/0.61 0:00:00.05 for the input.
% 0.38/0.61 0:00:00.00 for the FLOTTER CNF translation.
% 0.38/0.61 0:00:00.00 for inferences.
% 0.38/0.61 0:00:00.00 for the backtracking.
% 0.38/0.61 0:00:00.08 for the reduction.
% 0.38/0.61
% 0.38/0.61
% 0.38/0.61 Here is a proof with depth 1, length 12 :
% 0.38/0.61 % SZS output start Refutation
% See solution above
% 0.38/0.61 Formulae used in the proof : cls_invKey__K_0 cls_Crypt__imp__invKey__keysFor_0 cls_new__keys__not__used_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_13
% 0.38/0.61
%------------------------------------------------------------------------------