TSTP Solution File: SWV727-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV727-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 21:44:55 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 9 unt; 5 nHn; 17 RR)
% Number of literals : 29 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 13 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(256,axiom,
( ~ c_in(u,c_Message_OsymKeys,tc_nat)
| equal(c_Message_OinvKey(u),u) ),
file('SWV727-1.p',unknown),
[] ).
cnf(301,axiom,
equal(c_Lattices_Oupper__semilattice__class_Osup(u,u,tc_fun(v,tc_bool)),u),
file('SWV727-1.p',unknown),
[] ).
cnf(384,axiom,
( ~ c_in(u,c_Message_Osynth(c_Message_Oanalz(v)),tc_Message_Omsg)
| ~ c_in(w,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(u,x,tc_Message_Omsg))),tc_nat)
| c_in(w,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(x,v,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(w)),c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV727-1.p',unknown),
[] ).
cnf(421,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('SWV727-1.p',unknown),
[] ).
cnf(487,axiom,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('SWV727-1.p',unknown),
[] ).
cnf(489,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('SWV727-1.p',unknown),
[] ).
cnf(491,axiom,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('SWV727-1.p',unknown),
[] ).
cnf(492,axiom,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('SWV727-1.p',unknown),
[] ).
cnf(493,axiom,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
file('SWV727-1.p',unknown),
[] ).
cnf(499,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat),
inference(mrr,[status(thm)],[493,491]),
[iquote('0:MRR:493.1,491.0')] ).
cnf(545,plain,
equal(c_Message_OinvKey(v_K),v_K),
inference(res,[status(thm),theory(equality)],[487,256]),
[iquote('0:Res:487.0,256.0')] ).
cnf(584,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[421,491]),
[iquote('0:Res:421.1,491.0')] ).
cnf(642,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(u)),tc_Message_Omsg)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(v_K)),c_Message_Oparts(u),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),u,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) ),
inference(res,[status(thm),theory(equality)],[492,384]),
[iquote('0:Res:492.0,384.1')] ).
cnf(689,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(u)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),u,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(u),tc_Message_Omsg) ),
inference(rew,[status(thm),theory(equality)],[545,642]),
[iquote('0:Rew:545.0,642.1')] ).
cnf(693,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) ),
inference(res,[status(thm),theory(equality)],[489,689]),
[iquote('0:Res:489.0,689.0')] ).
cnf(710,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
inference(rew,[status(thm),theory(equality)],[301,693]),
[iquote('0:Rew:301.0,693.1')] ).
cnf(711,plain,
$false,
inference(mrr,[status(thm)],[710,584,499]),
[iquote('0:MRR:710.0,710.1,584.0,499.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV727-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 15 18:11:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52
% 0.19/0.52 SPASS V 3.9
% 0.19/0.52 SPASS beiseite: Proof found.
% 0.19/0.52 % SZS status Theorem
% 0.19/0.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 SPASS derived 88 clauses, backtracked 0 clauses, performed 0 splits and kept 460 clauses.
% 0.19/0.52 SPASS allocated 76542 KBytes.
% 0.19/0.52 SPASS spent 0:00:00.17 on the problem.
% 0.19/0.52 0:00:00.05 for the input.
% 0.19/0.52 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.52 0:00:00.00 for inferences.
% 0.19/0.52 0:00:00.00 for the backtracking.
% 0.19/0.52 0:00:00.06 for the reduction.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 Here is a proof with depth 2, length 17 :
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 Formulae used in the proof : cls_invKey__K_0 cls_Un__absorb_0 cls_keysFor__parts__insert_0 cls_usedI_0 cls_conjecture_0 cls_conjecture_2 cls_conjecture_4 cls_conjecture_5 cls_conjecture_6
% 0.19/0.52
%------------------------------------------------------------------------------