TSTP Solution File: SWV338-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV338-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 21:42:22 EDT 2022
% Result : Unsatisfiable 1.51s 1.74s
% Output : Refutation 1.51s
% 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 : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ c_in(u,c_Message_Osynth(c_Message_Oanalz(v)),tc_Message_Omsg)
| ~ c_in(w,c_Message_OkeysFor(c_Message_Oparts(c_insert(u,x,tc_Message_Omsg))),tc_nat)
| c_in(w,c_Message_OkeysFor(c_Message_Oparts(c_union(x,v,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(w)),c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV338-1.p',unknown),
[] ).
cnf(2,axiom,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('SWV338-1.p',unknown),
[] ).
cnf(4,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('SWV338-1.p',unknown),
[] ).
cnf(6,axiom,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('SWV338-1.p',unknown),
[] ).
cnf(7,axiom,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('SWV338-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
file('SWV338-1.p',unknown),
[] ).
cnf(2642,axiom,
equal(c_union(u,u,v),u),
file('SWV338-1.p',unknown),
[] ).
cnf(2782,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('SWV338-1.p',unknown),
[] ).
cnf(2907,axiom,
( ~ c_in(u,c_Message_OsymKeys,tc_nat)
| equal(c_Message_OinvKey(u),u) ),
file('SWV338-1.p',unknown),
[] ).
cnf(3020,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)],[8,6]),
[iquote('0:MRR:8.1,6.0')] ).
cnf(3162,plain,
equal(c_Message_OinvKey(v_K),v_K),
inference(res,[status(thm),theory(equality)],[2,2907]),
[iquote('0:Res:2.0,2907.0')] ).
cnf(3222,plain,
~ c_in(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)],[2782,6]),
[iquote('0:Res:2782.1,6.0')] ).
cnf(3334,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_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),u,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(u),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[7,1]),
[iquote('0:Res:7.0,1.0')] ).
cnf(3353,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_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),u,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(u),tc_Message_Omsg) ),
inference(rew,[status(thm),theory(equality)],[3162,3334]),
[iquote('0:Rew:3162.0,3334.2')] ).
cnf(3362,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat)
| c_in(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)],[4,3353]),
[iquote('0:Res:4.0,3353.0')] ).
cnf(3370,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(rew,[status(thm),theory(equality)],[2642,3362]),
[iquote('0:Rew:2642.0,3362.0')] ).
cnf(3371,plain,
$false,
inference(mrr,[status(thm)],[3370,3020,3222]),
[iquote('0:MRR:3370.0,3370.1,3020.0,3222.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV338-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n015.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 01:53:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 1.51/1.74
% 1.51/1.74 SPASS V 3.9
% 1.51/1.74 SPASS beiseite: Proof found.
% 1.51/1.74 % SZS status Theorem
% 1.51/1.74 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.51/1.74 SPASS derived 95 clauses, backtracked 0 clauses, performed 0 splits and kept 2860 clauses.
% 1.51/1.74 SPASS allocated 80274 KBytes.
% 1.51/1.74 SPASS spent 0:00:01.33 on the problem.
% 1.51/1.74 0:00:00.23 for the input.
% 1.51/1.74 0:00:00.00 for the FLOTTER CNF translation.
% 1.51/1.74 0:00:00.00 for inferences.
% 1.51/1.74 0:00:00.00 for the backtracking.
% 1.51/1.74 0:00:00.69 for the reduction.
% 1.51/1.74
% 1.51/1.74
% 1.51/1.74 Here is a proof with depth 2, length 17 :
% 1.51/1.74 % SZS output start Refutation
% See solution above
% 1.51/1.74 Formulae used in the proof : cls_Event_OkeysFor__parts__insert__dest_0 cls_conjecture_0 cls_conjecture_2 cls_conjecture_4 cls_conjecture_5 cls_conjecture_6 cls_Set_OUn__absorb_0 cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0 cls_Public_OinvKey__K_0
% 1.51/1.74
%------------------------------------------------------------------------------