TSTP Solution File: SWV321-2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SWV321-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 21:42:16 EDT 2022
% Result : Unsatisfiable 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of clauses : 27 ( 15 unt; 3 nHn; 27 RR)
% Number of literals : 41 ( 0 equ; 18 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(1,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('SWV321-2.p',unknown),
[] ).
cnf(2,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('SWV321-2.p',unknown),
[] ).
cnf(3,axiom,
( ~ c_in(u,c_Message_Oanalz(v),tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV321-2.p',unknown),
[] ).
cnf(4,axiom,
( ~ c_in(u,v,tc_Message_Omsg)
| c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
file('SWV321-2.p',unknown),
[] ).
cnf(5,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('SWV321-2.p',unknown),
[] ).
cnf(6,axiom,
( ~ c_in(u,c_union(v,w,x),x)
| c_in(u,v,x)
| c_in(u,w,x) ),
file('SWV321-2.p',unknown),
[] ).
cnf(7,axiom,
( ~ c_in(u,v,w)
| c_in(u,c_insert(x,v,w),w) ),
file('SWV321-2.p',unknown),
[] ).
cnf(8,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('SWV321-2.p',unknown),
[] ).
cnf(9,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('SWV321-2.p',unknown),
[] ).
cnf(10,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('SWV321-2.p',unknown),
[] ).
cnf(11,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('SWV321-2.p',unknown),
[] ).
cnf(15,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(spt,[spt(split,[position(s1)])],[11]),
[iquote('1:Spt:11.0')] ).
cnf(16,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)],[10,15]),
[iquote('1:MRR:10.0,15.0')] ).
cnf(17,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)],[4,16]),
[iquote('1:Res:4.1,16.0')] ).
cnf(18,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)],[7,17]),
[iquote('1:Res:7.1,17.0')] ).
cnf(19,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(res,[status(thm),theory(equality)],[5,18]),
[iquote('1:Res:5.1,18.0')] ).
cnf(20,plain,
$false,
inference(mrr,[status(thm)],[19,15]),
[iquote('1:MRR:19.0,15.0')] ).
cnf(21,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(spt,[spt(split,[position(sa)])],[20,15]),
[iquote('1:Spt:20.0,11.0,15.0')] ).
cnf(22,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(spt,[spt(split,[position(s2)])],[11]),
[iquote('1:Spt:20.0,11.1')] ).
cnf(23,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)],[9,21]),
[iquote('1:MRR:9.1,21.0')] ).
cnf(27,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)],[22,1]),
[iquote('1:Res:22.0,1.1')] ).
cnf(28,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)],[27,8]),
[iquote('1:MRR:27.0,8.0')] ).
cnf(30,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)],[28,6]),
[iquote('1:Res:28.0,6.0')] ).
cnf(31,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)],[30,23]),
[iquote('1:MRR:30.1,23.0')] ).
cnf(32,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)],[31,2]),
[iquote('1:Res:31.0,2.0')] ).
cnf(33,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(res,[status(thm),theory(equality)],[32,3]),
[iquote('1:Res:32.0,3.0')] ).
cnf(34,plain,
$false,
inference(mrr,[status(thm)],[33,23]),
[iquote('1:MRR:33.0,23.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV321-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n027.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 00:21:19 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.38
% 0.13/0.38 SPASS V 3.9
% 0.13/0.38 SPASS beiseite: Proof found.
% 0.13/0.38 % SZS status Theorem
% 0.13/0.38 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 SPASS derived 13 clauses, backtracked 4 clauses, performed 1 splits and kept 26 clauses.
% 0.13/0.38 SPASS allocated 63124 KBytes.
% 0.13/0.38 SPASS spent 0:00:00.03 on the problem.
% 0.13/0.38 0:00:00.02 for the input.
% 0.13/0.38 0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.38 0:00:00.00 for inferences.
% 0.13/0.38 0:00:00.00 for the backtracking.
% 0.13/0.38 0:00:00.00 for the reduction.
% 0.13/0.38
% 0.13/0.38
% 0.13/0.38 Here is a proof with depth 5, length 27 :
% 0.13/0.38 % SZS output start Refutation
% See solution above
% 0.13/0.38 Formulae used in the proof : cls_Message_OFake__parts__insert__in__Un__dest_0 cls_Message_OKey__synth_0 cls_Message_Oanalz__into__parts__dest_0 cls_Message_Oparts_OInj_0 cls_Public_OSpy__spies__bad__shrK_0 cls_Set_OUnE_0 cls_Set_OinsertCI_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_4 cls_conjecture_5
% 0.13/0.38
%------------------------------------------------------------------------------