TSTP Solution File: SWV346-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV346-2 : 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 : n023.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 13:01:55 EDT 2023
% Result : Unsatisfiable 0.22s 0.43s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 11
% Syntax : Number of formulae : 25 ( 10 unt; 0 def)
% Number of atoms : 57 ( 9 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 60 ( 28 ~; 26 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 51 (; 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,plain,
$false,
inference(avatar_sat_refutation,[],[f10,f15,f20,f25,f29,f35,f38]) ).
fof(f38,plain,
( spl0_1
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f36,f33,f17,f7]) ).
fof(f7,plain,
( spl0_1
<=> c_Message_Omsg_ONonce(v_NA) = v_na ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f17,plain,
( spl0_3
<=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f33,plain,
( spl0_6
<=> ! [X5,X6,X7,X9,X8] :
( v_na = X5
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X5,X8)))),X9)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f36,plain,
( c_Message_Omsg_ONonce(v_NA) = v_na
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[],[f34,f19]) ).
fof(f19,plain,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f34,plain,
( ! [X8,X6,X9,X7,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X5,X8)))),X9)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_na = X5 )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f35,plain,
( spl0_6
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f31,f27,f22,f12,f33]) ).
fof(f12,plain,
( spl0_2
<=> c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f22,plain,
( spl0_4
<=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f27,plain,
( spl0_5
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X4 = X9
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f31,plain,
( ! [X8,X6,X9,X7,X5] :
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| v_na = X5
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X5,X8)))),X9)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) )
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f28,f24]) ).
fof(f24,plain,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f22]) ).
fof(f28,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X4 = X9
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f29,plain,
spl0_5,
inference(avatar_split_clause,[],[f1,f27]) ).
fof(f1,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( X4 = X9
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/tmp/tmp.2fDCW9kXT4/Vampire---4.8_16130',cls_Yahalom_Ounique__session__keys__dest_2) ).
fof(f25,plain,
spl0_4,
inference(avatar_split_clause,[],[f4,f22]) ).
fof(f4,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/tmp/tmp.2fDCW9kXT4/Vampire---4.8_16130',cls_conjecture_4) ).
fof(f20,plain,
spl0_3,
inference(avatar_split_clause,[],[f3,f17]) ).
fof(f3,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/tmp/tmp.2fDCW9kXT4/Vampire---4.8_16130',cls_conjecture_3) ).
fof(f15,plain,
spl0_2,
inference(avatar_split_clause,[],[f2,f12]) ).
fof(f2,axiom,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/tmp/tmp.2fDCW9kXT4/Vampire---4.8_16130',cls_conjecture_2) ).
fof(f10,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f5,f7]) ).
fof(f5,axiom,
c_Message_Omsg_ONonce(v_NA) != v_na,
file('/export/starexec/sandbox/tmp/tmp.2fDCW9kXT4/Vampire---4.8_16130',cls_conjecture_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV346-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 30 17:51:09 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.42 % (16384)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (16385)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (16386)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (16388)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (16387)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)
% 0.22/0.42 % (16389)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)
% 0.22/0.42 % (16390)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)
% 0.22/0.42 % (16391)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)
% 0.22/0.42 % (16389)First to succeed.
% 0.22/0.43 % (16390)Also succeeded, but the first one will report.
% 0.22/0.43 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 % (16391)Also succeeded, but the first one will report.
% 0.22/0.43 % (16389)Refutation found. Thanks to Tanya!
% 0.22/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.43 % (16389)------------------------------
% 0.22/0.43 % (16389)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.43 % (16389)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.43 % (16389)Termination reason: Refutation
% 0.22/0.43
% 0.22/0.43 % (16389)Memory used [KB]: 5373
% 0.22/0.43 % (16389)Time elapsed: 0.004 s
% 0.22/0.43 % (16389)------------------------------
% 0.22/0.43 % (16389)------------------------------
% 0.22/0.43 % (16384)Success in time 0.062 s
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------