TSTP Solution File: SWV331-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV331-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 21:42:19 EDT 2022
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 11 RR)
% Number of literals : 19 ( 0 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 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(1,axiom,
( ~ c_in(u,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(u,v),w,tc_Message_Omsg)
| c_in(u,c_Message_OkeysFor(w),tc_nat) ),
file('SWV331-2.p',unknown),
[] ).
cnf(2,axiom,
( ~ c_in(u,c_Message_OsymKeys,tc_nat)
| ~ c_in(v,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(u,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v))),tc_nat)
| c_in(c_Message_Omsg_OKey(u),c_Event_Oused(v),tc_Message_Omsg) ),
file('SWV331-2.p',unknown),
[] ).
cnf(3,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('SWV331-2.p',unknown),
[] ).
cnf(4,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('SWV331-2.p',unknown),
[] ).
cnf(5,axiom,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('SWV331-2.p',unknown),
[] ).
cnf(6,axiom,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('SWV331-2.p',unknown),
[] ).
cnf(8,plain,
( ~ c_in(c_Message_Omsg_OCrypt(v_K,u),v,tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(v),tc_nat) ),
inference(res,[status(thm),theory(equality)],[5,1]),
[iquote('0:Res:5.0,1.0')] ).
cnf(10,plain,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat)
| ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(res,[status(thm),theory(equality)],[2,4]),
[iquote('0:Res:2.3,4.0')] ).
cnf(12,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
inference(mrr,[status(thm)],[10,5,3]),
[iquote('0:MRR:10.1,10.2,5.0,3.0')] ).
cnf(15,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
inference(res,[status(thm),theory(equality)],[6,8]),
[iquote('0:Res:6.0,8.0')] ).
cnf(16,plain,
$false,
inference(mrr,[status(thm)],[15,12]),
[iquote('0:MRR:15.0,12.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWV331-2 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n023.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % 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 15:16:20 EDT 2022
% 0.21/0.36 % CPUTime :
% 0.21/0.43
% 0.21/0.43 SPASS V 3.9
% 0.21/0.43 SPASS beiseite: Proof found.
% 0.21/0.43 % SZS status Theorem
% 0.21/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.43 SPASS derived 7 clauses, backtracked 0 clauses, performed 0 splits and kept 11 clauses.
% 0.21/0.43 SPASS allocated 63104 KBytes.
% 0.21/0.43 SPASS spent 0:00:00.06 on the problem.
% 0.21/0.43 0:00:00.04 for the input.
% 0.21/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.43 0:00:00.00 for inferences.
% 0.21/0.43 0:00:00.00 for the backtracking.
% 0.21/0.43 0:00:00.00 for the reduction.
% 0.21/0.43
% 0.21/0.43
% 0.21/0.43 Here is a proof with depth 2, length 11 :
% 0.21/0.43 % SZS output start Refutation
% See solution above
% 0.21/0.43 Formulae used in the proof : cls_Public_OCrypt__imp__keysFor_0 cls_Yahalom_Onew__keys__not__used_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_5
% 0.21/0.43
%------------------------------------------------------------------------------