%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV321-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 21:42:15 EDT 2022
% Result : Unsatisfiable 36.59s 36.82s
% Output : Refutation 36.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of clauses : 29 ( 16 unt; 3 nHn; 29 RR)
% Number of literals : 44 ( 0 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('SWV321-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('SWV321-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
file('SWV321-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
file('SWV321-1.p',unknown),
[] ).
cnf(6,axiom,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
file('SWV321-1.p',unknown),
[] ).
cnf(1334,axiom,
( ~ c_in(u,c_union(v,w,x),x)
| c_in(u,v,x)
| c_in(u,w,x) ),
file('SWV321-1.p',unknown),
[] ).
cnf(1340,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_insert(x,v,w),w) ),
file('SWV321-1.p',unknown),
[] ).
cnf(1400,axiom,
( ~ c_in(c_Message_Omsg_OKey(u),c_Message_Osynth(v),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(u),v,tc_Message_Omsg) ),
file('SWV321-1.p',unknown),
[] ).
cnf(1433,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV321-1.p',unknown),
[] ).
cnf(1444,axiom,
( ~ c_in(u,c_Message_Osynth(c_Message_Oanalz(v)),tc_Message_Omsg)
| ~ c_in(w,c_Message_Oparts(c_insert(u,v,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(w,c_union(c_Message_Osynth(c_Message_Oanalz(v)),c_Message_Oparts(v),tc_Message_Omsg),tc_Message_Omsg) ),
file('SWV321-1.p',unknown),
[] ).
cnf(1446,axiom,
( ~ c_in(u,c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV321-1.p',unknown),
[] ).
cnf(1453,axiom,
( ~ c_in(u,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(u)),c_Event_Oknows(c_Message_Oagent_OSpy,v),tc_Message_Omsg) ),
file('SWV321-1.p',unknown),
[] ).
cnf(1525,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(spt,[spt(split,[position(s1)])],[4]),
[iquote('1:Spt:4.0')] ).
cnf(1526,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(mrr,[status(thm)],[3,1525]),
[iquote('1:MRR:3.1,1525.0')] ).
cnf(1527,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(mrr,[status(thm)],[6,1525]),
[iquote('1:MRR:6.0,1525.0')] ).
cnf(1625,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1446,1526]),
[iquote('1:Res:1446.1,1526.0')] ).
cnf(15163,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[1527,1444]),
[iquote('1:Res:1527.0,1444.1')] ).
cnf(15188,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
inference(mrr,[status(thm)],[15163,2]),
[iquote('1:MRR:15163.0,2.0')] ).
cnf(23674,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(res,[status(thm),theory(equality)],[15188,1334]),
[iquote('1:Res:15188.0,1334.0')] ).
cnf(23676,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
inference(mrr,[status(thm)],[23674,1526]),
[iquote('1:MRR:23674.1,1526.0')] ).
cnf(23680,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[23676,1400]),
[iquote('1:Res:23676.0,1400.0')] ).
cnf(23682,plain,
$false,
inference(mrr,[status(thm)],[23680,1625]),
[iquote('1:MRR:23680.0,1625.0')] ).
cnf(23687,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(spt,[spt(split,[position(sa)])],[23682,1525]),
[iquote('1:Spt:23682.0,4.0,1525.0')] ).
cnf(23688,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
inference(spt,[spt(split,[position(s2)])],[4]),
[iquote('1:Spt:23682.0,4.1')] ).
cnf(23689,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
inference(mrr,[status(thm)],[5,23687]),
[iquote('1:MRR:5.0,23687.0')] ).
cnf(23746,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1433,23689]),
[iquote('1:Res:1433.1,23689.0')] ).
cnf(23747,plain,
~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),
inference(res,[status(thm),theory(equality)],[1340,23746]),
[iquote('1:Res:1340.1,23746.0')] ).
cnf(23748,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(res,[status(thm),theory(equality)],[1453,23747]),
[iquote('1:Res:1453.1,23747.0')] ).
cnf(23749,plain,
$false,
inference(mrr,[status(thm)],[23748,23687]),
[iquote('1:MRR:23748.0,23687.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : SWV321-1 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.15 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Tue Jun 14 22:34:33 EDT 2022
% 0.15/0.36 % CPUTime :
% 36.59/36.82
% 36.59/36.82 SPASS V 3.9
% 36.59/36.82 SPASS beiseite: Proof found.
% 36.59/36.82 % SZS status Theorem
% 36.59/36.82 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 36.59/36.82 SPASS derived 20224 clauses, backtracked 5 clauses, performed 1 splits and kept 13620 clauses.
% 36.59/36.82 SPASS allocated 101189 KBytes.
% 36.59/36.82 SPASS spent 0:0:35.00 on the problem.
% 36.59/36.82 0:00:00.09 for the input.
% 36.59/36.82 0:00:00.00 for the FLOTTER CNF translation.
% 36.59/36.82 0:00:00.46 for inferences.
% 36.59/36.82 0:00:00.02 for the backtracking.
% 36.59/36.82 0:0:33.91 for the reduction.
% 36.59/36.82
% 36.59/36.82
% 36.59/36.82 Here is a proof with depth 3, length 29 :
% 36.59/36.82 % SZS output start Refutation
% See solution above
% 36.59/36.82 Formulae used in the proof : cls_conjecture_1 cls_conjecture_2 cls_conjecture_3 cls_conjecture_4 cls_conjecture_5 cls_Set_OUnE_0 cls_Set_OinsertCI_0 cls_Message_OKey__synth_0 cls_Message_Oparts_OInj_0 cls_Message_OFake__parts__insert__in__Un__dest_0 cls_Message_Oanalz__into__parts__dest_0 cls_Public_OSpy__spies__bad__shrK_0
% 36.59/36.82
%------------------------------------------------------------------------------