TSTP Solution File: SWV304-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV304-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n007.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 : 300s
% DateTime : Tue Apr 30 16:44:09 EDT 2024
% Result : Unsatisfiable 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 26
% Syntax : Number of formulae : 72 ( 12 unt; 0 def)
% Number of atoms : 161 ( 3 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 168 ( 79 ~; 83 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-3 aty)
% Number of functors : 37 ( 37 usr; 19 con; 0-5 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f104,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f46,f60,f62,f71,f79,f81,f103]) ).
fof(f103,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f102,plain,
( $false
| ~ spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f101,f57]) ).
fof(f57,plain,
c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[],[f53,f5]) ).
fof(f5,axiom,
! [X2,X7,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X7),c_Message_Oanalz(X5),tc_Message_Omsg)
| c_in(X2,c_Message_Oanalz(X5),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f53,plain,
c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[],[f49,f4]) ).
fof(f4,axiom,
! [X2,X7,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X7),c_Message_Oanalz(X5),tc_Message_Omsg)
| c_in(X7,c_Message_Oanalz(X5),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f49,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(subsumption_resolution,[],[f48,f15]) ).
fof(f15,axiom,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f48,plain,
( ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
inference(resolution,[],[f38,f18]) ).
fof(f18,axiom,
c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NBa),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
inference(resolution,[],[f11,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f11,axiom,
! [X2,X3,X1] :
( c_in(c_Event_Oevent_OSays(v_sko__uwX(X1,X2,X3),X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
fof(f101,plain,
( ~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f99,f8]) ).
fof(f8,axiom,
! [X8,X5] :
( c_in(X8,c_Message_Oparts(X5),tc_Message_Omsg)
| ~ c_in(X8,c_Message_Oanalz(X5),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f99,plain,
( ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f97,f92]) ).
fof(f92,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f91,f14]) ).
fof(f14,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f91,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f90,f15]) ).
fof(f90,plain,
( ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_3 ),
inference(resolution,[],[f10,f41]) ).
fof(f41,plain,
( ! [X12] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X12,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_3
<=> ! [X12] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X12,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f10,axiom,
! [X3,X10,X0,X1,X9] :
( c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(v_sko__vCt(X0,X1,X9,X10,X3),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X1)))))))))),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X9,c_Message_Omsg_OMPair(X10,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X0),c_Message_Omsg_OAgent(X1))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OCrypt__imp__OR2__dest_0) ).
fof(f97,plain,
( ! [X0] :
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) )
| ~ spl0_6 ),
inference(resolution,[],[f95,f6]) ).
fof(f6,axiom,
! [X2,X7,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X7),c_Message_Oparts(X5),tc_Message_Omsg)
| c_in(X7,c_Message_Oparts(X5),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
fof(f95,plain,
( ! [X0] :
( c_in(c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) )
| ~ spl0_6 ),
inference(resolution,[],[f86,f6]) ).
fof(f86,plain,
( ! [X0] :
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oparts(X0),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) )
| ~ spl0_6 ),
inference(superposition,[],[f6,f70]) ).
fof(f70,plain,
( c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_6
<=> c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f81,plain,
( ~ spl0_3
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f80,plain,
( $false
| ~ spl0_3
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f66,f41]) ).
fof(f66,plain,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl0_5
<=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f79,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f77,f15]) ).
fof(f77,plain,
( ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f76,f14]) ).
fof(f76,plain,
( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_1
| spl0_4 ),
inference(resolution,[],[f75,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X1)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[],[f12,f8]) ).
fof(f12,axiom,
! [X3,X0] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg)
| ~ c_in(X3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f75,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f74,f47]) ).
fof(f47,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| spl0_4 ),
inference(resolution,[],[f45,f8]) ).
fof(f45,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| spl0_4 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_4
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f74,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_B)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_1
| spl0_4 ),
inference(resolution,[],[f73,f2]) ).
fof(f2,axiom,
! [X2,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(X4,X2),c_Message_Osynth(X5),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X4,X2),X5,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X4),X5,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
fof(f73,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f72,f45]) ).
fof(f72,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f31,f13]) ).
fof(f13,axiom,
! [X0,X11,X1,X8] :
( ~ c_in(X8,c_union(X0,X1,X11),X11)
| c_in(X8,X1,X11)
| c_in(X8,X0,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
fof(f31,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl0_1
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f71,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f68,f64]) ).
fof(f16,axiom,
( c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))) = v_X
| c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f62,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f61,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f57,f37]) ).
fof(f37,plain,
( ~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| spl0_2 ),
inference(resolution,[],[f35,f9]) ).
fof(f9,axiom,
! [X2,X5] :
( c_in(X2,c_Message_Osynth(X5),tc_Message_Omsg)
| ~ c_in(X2,X5,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f35,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl0_2
<=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f60,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[],[f55,f35]) ).
fof(f55,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference(resolution,[],[f53,f23]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
inference(resolution,[],[f7,f9]) ).
fof(f7,axiom,
! [X2,X7,X5] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X7),c_Message_Osynth(c_Message_Oanalz(X5)),tc_Message_Omsg)
| c_in(X2,c_Message_Osynth(c_Message_Oanalz(X5)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).
fof(f46,plain,
( spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f21,f43,f40]) ).
fof(f21,plain,
! [X12] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X12,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(global_subsumption,[],[f14,f15,f19,f18,f20,f16,f17]) ).
fof(f17,axiom,
! [X12] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X12,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_11) ).
fof(f20,axiom,
~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f19,axiom,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f36,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f27,f33,f29]) ).
fof(f27,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[],[f3,f19]) ).
fof(f3,axiom,
! [X2,X6,X5] :
( ~ c_in(X6,c_Message_Oparts(c_insert(X2,X5,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X5)),tc_Message_Omsg)
| c_in(X6,c_union(c_Message_Osynth(c_Message_Oanalz(X5)),c_Message_Oparts(X5),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV304-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:36:47 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.35 % (25151)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.36 % (25155)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (25154)WARNING: value z3 for option sas not known
% 0.21/0.37 % (25153)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (25152)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (25154)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 % (25156)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.37 % (25157)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.37 % (25158)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.37 TRYING [2]
% 0.21/0.38 % (25154)First to succeed.
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (25154)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (25154)------------------------------
% 0.21/0.38 % (25154)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.38 % (25154)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (25154)Memory used [KB]: 867
% 0.21/0.38 % (25154)Time elapsed: 0.011 s
% 0.21/0.38 % (25154)Instructions burned: 14 (million)
% 0.21/0.38 % (25154)------------------------------
% 0.21/0.38 % (25154)------------------------------
% 0.21/0.38 % (25151)Success in time 0.028 s
%------------------------------------------------------------------------------