TSTP Solution File: SWV321-2 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV321-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 20:31:06 EDT 2022
% Result : Unsatisfiable 1.95s 2.13s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 10 unt; 9 nHn; 24 RR)
% Number of literals : 63 ( 0 equ; 21 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 : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 32 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ).
cnf(cls_conjecture_2,negated_conjecture,
( 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) ) ).
cnf(cls_conjecture_4,negated_conjecture,
( ~ 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) ) ).
cnf(cls_conjecture_5,negated_conjecture,
( 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)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ) ).
cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
| c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ).
cnf(cls_Message_OKey__synth_0,axiom,
( ~ c_in(c_Message_Omsg_OKey(V_K),c_Message_Osynth(V_H),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ).
cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
| c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( ~ c_in(V_X,V_H,tc_Message_Omsg)
| c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
cnf(cls_Public_OSpy__spies__bad__shrK_0,axiom,
( ~ c_in(V_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ) ).
cnf(cls_Set_OUnE_0,axiom,
( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| c_in(V_c,V_B,T_a)
| c_in(V_c,V_A,T_a) ) ).
cnf(cls_Set_OinsertCI_0,axiom,
( ~ c_in(V_a,V_B,T_a)
| c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ) ).
cnf(refute_0_0,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(X_3170,c_Event_Oknows(c_Message_Oagent_OSpy,X_3171),tc_Message_Omsg),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(X_3170,c_Event_Oknows(c_Message_Oagent_OSpy,X_3171),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_Oparts_OInj_0:[bind(V_H,$fot(c_insert(X_3170,c_Event_Oknows(c_Message_Oagent_OSpy,X_3171),tc_Message_Omsg))),bind(V_X,$fot(c_Message_Omsg_OKey(c_Public_OshrK(v_A))))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X_3160),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(V_b,c_Event_Oknows(c_Message_Oagent_OSpy,X_3160),tc_Message_Omsg),tc_Message_Omsg) ),
inference(subst,[],[cls_Set_OinsertCI_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_B,$fot(c_Event_Oknows(c_Message_Oagent_OSpy,X_3160))),bind(V_a,$fot(c_Message_Omsg_OKey(c_Public_OshrK(v_A))))]]) ).
cnf(refute_0_2,plain,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg) ),
inference(subst,[],[cls_Public_OSpy__spies__bad__shrK_0:[bind(V_A,$fot(v_A))]]) ).
cnf(refute_0_3,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)
| 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(subst,[],[cls_Message_Oanalz__into__parts__dest_0:[bind(V_H,$fot(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),bind(V_c,$fot(c_Message_Omsg_OKey(c_Public_OshrK(v_A))))]]) ).
cnf(refute_0_4,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_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(subst,[],[cls_Message_OKey__synth_0:[bind(V_H,$fot(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),bind(V_K,$fot(c_Public_OshrK(v_A)))]]) ).
cnf(refute_0_5,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)
| 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(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(subst,[],[cls_Set_OUnE_0:[bind(T_a,$fot(tc_Message_Omsg)),bind(V_A,$fot(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))))),bind(V_B,$fot(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)))),bind(V_c,$fot(c_Message_Omsg_OKey(c_Public_OshrK(v_A))))]]) ).
cnf(refute_0_6,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)
| ~ 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(subst,[],[cls_Message_OFake__parts__insert__in__Un__dest_0:[bind(V_H,$fot(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),bind(V_X,$fot(v_X)),bind(V_Z,$fot(c_Message_Omsg_OKey(c_Public_OshrK(v_A))))]]) ).
cnf(refute_0_7,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[$cnf( 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) )],[cls_conjecture_5,refute_0_6]) ).
cnf(refute_0_8,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)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[$cnf( c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) )],[cls_conjecture_1,refute_0_7]) ).
cnf(refute_0_9,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[$cnf( 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) )],[refute_0_8,refute_0_5]) ).
cnf(refute_0_10,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)
| 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) ),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) )],[refute_0_9,refute_0_4]) ).
cnf(refute_0_11,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[$cnf( 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) )],[refute_0_10,cls_conjecture_2]) ).
cnf(refute_0_12,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)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) )],[refute_0_11,refute_0_3]) ).
cnf(refute_0_13,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(resolve,[$cnf( 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) )],[refute_0_12,cls_conjecture_2]) ).
cnf(refute_0_14,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,V_evs),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(v_A,c_Event_Obad,tc_Message_Oagent) )],[refute_0_13,refute_0_2]) ).
cnf(refute_0_15,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X_3160),tc_Message_Omsg),
inference(subst,[],[refute_0_14:[bind(V_evs,$fot(X_3160))]]) ).
cnf(refute_0_16,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(V_b,c_Event_Oknows(c_Message_Oagent_OSpy,X_3160),tc_Message_Omsg),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,X_3160),tc_Message_Omsg) )],[refute_0_15,refute_0_1]) ).
cnf(refute_0_17,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(X_3170,c_Event_Oknows(c_Message_Oagent_OSpy,X_3171),tc_Message_Omsg),tc_Message_Omsg),
inference(subst,[],[refute_0_16:[bind(V_b,$fot(X_3170)),bind(X_3160,$fot(X_3171))]]) ).
cnf(refute_0_18,plain,
c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(X_3170,c_Event_Oknows(c_Message_Oagent_OSpy,X_3171),tc_Message_Omsg)),tc_Message_Omsg),
inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(X_3170,c_Event_Oknows(c_Message_Oagent_OSpy,X_3171),tc_Message_Omsg),tc_Message_Omsg) )],[refute_0_17,refute_0_0]) ).
cnf(refute_0_19,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(subst,[],[refute_0_18:[bind(X_3170,$fot(v_X)),bind(X_3171,$fot(v_evsf))]]) ).
cnf(refute_0_20,plain,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(resolve,[$cnf( 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) )],[refute_0_19,cls_conjecture_4]) ).
cnf(refute_0_21,plain,
$false,
inference(resolve,[$cnf( c_in(v_A,c_Event_Obad,tc_Message_Oagent) )],[refute_0_13,refute_0_20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWV321-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n018.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 : Wed Jun 15 00:09:44 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.37 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.95/2.13 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.95/2.13
% 1.95/2.13 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.98/2.13
%------------------------------------------------------------------------------