TSTP Solution File: SWV294-2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV294-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n004.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 : Sat Sep 2 13:00:01 EDT 2023
% Result : Unsatisfiable 0.17s 0.46s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 34
% Syntax : Number of formulae : 82 ( 14 unt; 0 def)
% Number of atoms : 199 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 203 ( 86 ~; 96 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 24 ( 22 usr; 22 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 14 con; 0-3 aty)
% Number of variables : 45 (; 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(avatar_sat_refutation,[],[f18,f23,f28,f33,f42,f49,f50,f54,f59,f63,f67,f76,f80,f84,f88,f94,f100,f110,f112,f119,f121,f123]) ).
fof(f123,plain,
( spl0_13
| ~ spl0_10
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f122,f107,f61,f73]) ).
fof(f73,plain,
( spl0_13
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f61,plain,
( spl0_10
<=> ! [X5,X3] :
( ~ c_in(X5,c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X5,c_Message_Oparts(X3),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f107,plain,
( spl0_20
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f122,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ spl0_10
| ~ spl0_20 ),
inference(resolution,[],[f109,f62]) ).
fof(f62,plain,
( ! [X3,X5] :
( ~ c_in(X5,c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X5,c_Message_Oparts(X3),tc_Message_Omsg) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f109,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f121,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_15
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f120,f116,f82,f20,f15]) ).
fof(f15,plain,
( spl0_1
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f20,plain,
( spl0_2
<=> c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f82,plain,
( spl0_15
<=> ! [X6,X7] :
( c_in(X7,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X6,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f116,plain,
( spl0_21
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f120,plain,
( ~ c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_15
| ~ spl0_21 ),
inference(resolution,[],[f118,f83]) ).
fof(f83,plain,
( ! [X6,X7] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg)
| ~ c_in(X6,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X7,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f118,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)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
( spl0_21
| ~ spl0_10
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f114,f103,f61,f116]) ).
fof(f103,plain,
( spl0_19
<=> 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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f114,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)
| ~ spl0_10
| ~ spl0_19 ),
inference(resolution,[],[f105,f62]) ).
fof(f105,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)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f112,plain,
( ~ spl0_8
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f111,plain,
( $false
| ~ spl0_8
| ~ spl0_12 ),
inference(resolution,[],[f71,f53]) ).
fof(f53,plain,
( ! [X0] : ~ 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(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_8
<=> ! [X0] : ~ 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(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f71,plain,
( 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_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_12
<=> 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_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f110,plain,
( spl0_19
| spl0_20
| ~ spl0_14
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f101,f97,f78,f107,f103]) ).
fof(f78,plain,
( spl0_14
<=> ! [X2,X1,X3] :
( c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f97,plain,
( spl0_18
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f101,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),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)
| ~ spl0_14
| ~ spl0_18 ),
inference(resolution,[],[f99,f79]) ).
fof(f79,plain,
( ! [X2,X3,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f78]) ).
fof(f99,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl0_18
| spl0_13
| ~ spl0_11
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f95,f91,f65,f73,f97]) ).
fof(f65,plain,
( spl0_11
<=> ! [X5,X7,X9,X8] :
( c_in(X5,X7,X9)
| c_in(X5,X8,X9)
| ~ c_in(X5,c_union(X7,X8,X9),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f91,plain,
( spl0_17
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),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) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f95,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
| ~ spl0_11
| ~ spl0_17 ),
inference(resolution,[],[f93,f66]) ).
fof(f66,plain,
( ! [X8,X9,X7,X5] :
( ~ c_in(X5,c_union(X7,X8,X9),X9)
| c_in(X5,X8,X9)
| c_in(X5,X7,X9) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f93,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),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)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,plain,
( spl0_17
| ~ spl0_3
| ~ spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f89,f86,f35,f25,f91]) ).
fof(f25,plain,
( spl0_3
<=> c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f35,plain,
( spl0_5
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f86,plain,
( spl0_16
<=> ! [X2,X4,X3] :
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X4,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f89,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),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)
| ~ spl0_5
| ~ spl0_16 ),
inference(resolution,[],[f87,f37]) ).
fof(f37,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f87,plain,
( ! [X2,X3,X4] :
( ~ c_in(X4,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X4,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
spl0_16,
inference(avatar_split_clause,[],[f10,f86]) ).
fof(f10,axiom,
! [X2,X3,X4] :
( ~ c_in(X2,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| ~ c_in(X4,c_Message_Oparts(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X4,c_union(c_Message_Osynth(c_Message_Oanalz(X3)),c_Message_Oparts(X3),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f84,plain,
spl0_15,
inference(avatar_split_clause,[],[f12,f82]) ).
fof(f12,axiom,
! [X6,X7] :
( c_in(X7,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X6,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X7)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X6)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f80,plain,
spl0_14,
inference(avatar_split_clause,[],[f9,f78]) ).
fof(f9,axiom,
! [X2,X3,X1] :
( c_in(c_Message_Omsg_OKey(X1),X3,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X1,X2),X3,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Osynth(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_Message_OCrypt__synth_0) ).
fof(f76,plain,
( ~ spl0_9
| spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f3,f73,f69,f56]) ).
fof(f56,plain,
( spl0_9
<=> c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f3,axiom,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),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_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_conjecture_18) ).
fof(f67,plain,
spl0_11,
inference(avatar_split_clause,[],[f13,f65]) ).
fof(f13,axiom,
! [X8,X9,X7,X5] :
( c_in(X5,X7,X9)
| c_in(X5,X8,X9)
| ~ c_in(X5,c_union(X7,X8,X9),X9) ),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_Set_OUnE_0) ).
fof(f63,plain,
spl0_10,
inference(avatar_split_clause,[],[f11,f61]) ).
fof(f11,axiom,
! [X3,X5] :
( ~ c_in(X5,c_Message_Oanalz(X3),tc_Message_Omsg)
| c_in(X5,c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f59,plain,
( spl0_9
| spl0_6 ),
inference(avatar_split_clause,[],[f5,f39,f56]) ).
fof(f39,plain,
( spl0_6
<=> v_A = c_Message_Oagent_OSpy ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f5,axiom,
( v_A = c_Message_Oagent_OSpy
| c_in(c_Event_Oevent_OSays(v_A,v_B,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_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_conjecture_3) ).
fof(f54,plain,
( spl0_8
| spl0_6 ),
inference(avatar_split_clause,[],[f7,f39,f52]) ).
fof(f7,axiom,
! [X0] :
( v_A = c_Message_Oagent_OSpy
| ~ 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(X0,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evsf,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_conjecture_5) ).
fof(f50,plain,
( ~ spl0_4
| spl0_1
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f44,f39,f15,f30]) ).
fof(f30,plain,
( spl0_4
<=> c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f44,plain,
( ~ c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent)
| spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f17,f41]) ).
fof(f41,plain,
( v_A = c_Message_Oagent_OSpy
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f17,plain,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f49,plain,
( ~ spl0_7
| spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f43,f39,f35,f46]) ).
fof(f46,plain,
( spl0_7
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f43,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(c_Message_Oagent_OSpy),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f36,f41]) ).
fof(f36,plain,
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
| spl0_5 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f42,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f39,f35]) ).
fof(f6,axiom,
( v_A = c_Message_Oagent_OSpy
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_conjecture_4) ).
fof(f33,plain,
spl0_4,
inference(avatar_split_clause,[],[f8,f30]) ).
fof(f8,axiom,
c_in(c_Message_Oagent_OSpy,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_Event_OSpy_A_58_Abad_0) ).
fof(f28,plain,
spl0_3,
inference(avatar_split_clause,[],[f4,f25]) ).
fof(f4,axiom,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_conjecture_2) ).
fof(f23,plain,
spl0_2,
inference(avatar_split_clause,[],[f2,f20]) ).
fof(f2,axiom,
c_in(v_evsf,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_conjecture_1) ).
fof(f18,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f1,f15]) ).
fof(f1,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/tmp/tmp.l1DVPH7BOH/Vampire---4.8_11339',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15 % Problem : SWV294-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.16 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.36 % Computer : n004.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Wed Aug 30 17:33:21 EDT 2023
% 0.12/0.36 % CPUTime :
% 0.17/0.45 % (11451)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.46 % (11452)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.17/0.46 % (11453)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.17/0.46 % (11455)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.17/0.46 % (11458)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 Vampire---4 for (497ds/0Mi)
% 0.17/0.46 % (11456)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 Vampire---4 for (531ds/0Mi)
% 0.17/0.46 % (11454)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 Vampire---4 for (569ds/0Mi)
% 0.17/0.46 % (11457)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 Vampire---4 for (522ds/0Mi)
% 0.17/0.46 % (11456)First to succeed.
% 0.17/0.46 TRYING [1]
% 0.17/0.46 TRYING [1]
% 0.17/0.46 TRYING [2]
% 0.17/0.46 TRYING [2]
% 0.17/0.46 % (11457)Also succeeded, but the first one will report.
% 0.17/0.46 % (11456)Refutation found. Thanks to Tanya!
% 0.17/0.46 % SZS status Unsatisfiable for Vampire---4
% 0.17/0.46 % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.46 % (11456)------------------------------
% 0.17/0.46 % (11456)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.46 % (11456)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.46 % (11456)Termination reason: Refutation
% 0.17/0.46
% 0.17/0.46 % (11456)Memory used [KB]: 5500
% 0.17/0.46 % (11456)Time elapsed: 0.007 s
% 0.17/0.46 % (11456)------------------------------
% 0.17/0.46 % (11456)------------------------------
% 0.17/0.46 % (11451)Success in time 0.101 s
% 0.17/0.46 % Vampire---4.8 exiting
%------------------------------------------------------------------------------