TSTP Solution File: SWV345-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV345-1 : 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 : n013.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 : Thu Aug 31 23:09:52 EDT 2023
% Result : Unsatisfiable 0.40s 0.71s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 37 ( 13 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 66 (; 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3294,plain,
$false,
inference(subsumption_resolution,[],[f3286,f2953]) ).
fof(f2953,axiom,
c_Message_Omsg_ONonce(v_NB) != v_nb,
file('/export/starexec/sandbox/tmp/tmp.RGCAb5CEWw/Vampire---4.8_29560',cls_conjecture_7) ).
fof(f3286,plain,
c_Message_Omsg_ONonce(v_NB) = v_nb,
inference(resolution,[],[f3002,f3253]) ).
fof(f3253,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(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),
inference(backward_demodulation,[],[f3191,f3242]) ).
fof(f3242,plain,
v_B = v_Ba,
inference(resolution,[],[f2980,f2950]) ).
fof(f2950,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.RGCAb5CEWw/Vampire---4.8_29560',cls_conjecture_4) ).
fof(f2980,plain,
! [X10,X11,X14,X12,X13] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X12,X13)))),X14)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_Ba = X11 ),
inference(subsumption_resolution,[],[f2972,f2948]) ).
fof(f2948,axiom,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/tmp/tmp.RGCAb5CEWw/Vampire---4.8_29560',cls_conjecture_2) ).
fof(f2972,plain,
! [X10,X11,X14,X12,X13] :
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X10,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X12,X13)))),X14)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_Ba = X11 ),
inference(resolution,[],[f2949,f2943]) ).
fof(f2943,axiom,
! [X113,X111,X91,X116,X86,X107,X114,X102,X12,X112,X13,X115] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| X13 = X112 ),
file('/export/starexec/sandbox/tmp/tmp.RGCAb5CEWw/Vampire---4.8_29560',cls_Yahalom_Ounique__session__keys__dest_1) ).
fof(f2949,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.RGCAb5CEWw/Vampire---4.8_29560',cls_conjecture_3) ).
fof(f3191,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_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),
inference(backward_demodulation,[],[f2949,f3181]) ).
fof(f3181,plain,
v_A = v_Aa,
inference(resolution,[],[f2978,f2950]) ).
fof(f2978,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_Aa = X0 ),
inference(subsumption_resolution,[],[f2970,f2948]) ).
fof(f2970,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_Aa = X0 ),
inference(resolution,[],[f2949,f2942]) ).
fof(f2942,axiom,
! [X113,X111,X91,X116,X86,X107,X114,X102,X12,X112,X13,X115] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| X12 = X111 ),
file('/export/starexec/sandbox/tmp/tmp.RGCAb5CEWw/Vampire---4.8_29560',cls_Yahalom_Ounique__session__keys__dest_0) ).
fof(f3002,plain,
! [X8,X6,X9,X7,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X7,X8)))),X9)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_nb = X8 ),
inference(subsumption_resolution,[],[f2994,f2948]) ).
fof(f2994,plain,
! [X8,X6,X9,X7,X5] :
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X5,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X5),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X7,X8)))),X9)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_nb = X8 ),
inference(resolution,[],[f2950,f2945]) ).
fof(f2945,axiom,
! [X113,X111,X91,X116,X86,X107,X114,X102,X12,X112,X13,X115] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X111,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X111),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X112),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X113,X114)))),X107)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X102,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X12,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X91),c_Message_Omsg_OMPair(X115,X116)))),X86)),c_List_Oset(X102,tc_Event_Oevent),tc_Event_Oevent)
| X114 = X116 ),
file('/export/starexec/sandbox/tmp/tmp.RGCAb5CEWw/Vampire---4.8_29560',cls_Yahalom_Ounique__session__keys__dest_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.31/0.32 % Problem : SWV345-1 : TPTP v8.1.2. Released v3.2.0.
% 0.31/0.33 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.34/0.54 % Computer : n013.cluster.edu
% 0.34/0.54 % Model : x86_64 x86_64
% 0.34/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.34/0.54 % Memory : 8042.1875MB
% 0.34/0.54 % OS : Linux 3.10.0-693.el7.x86_64
% 0.34/0.54 % CPULimit : 300
% 0.34/0.54 % WCLimit : 300
% 0.34/0.54 % DateTime : Tue Aug 29 09:30:02 EDT 2023
% 0.34/0.54 % CPUTime :
% 0.34/0.54 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.34/0.54 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.RGCAb5CEWw/Vampire---4.8_29560
% 0.34/0.54 % (29667)Running in auto input_syntax mode. Trying TPTP
% 0.40/0.64 % (29674)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_394 on Vampire---4 for (394ds/0Mi)
% 0.40/0.64 % (29668)dis+1011_3_av=off:bd=off:er=known:fsd=off:fde=unused:irw=on:nm=64:nwc=1.3:sos=on:sp=reverse_arity_577 on Vampire---4 for (577ds/0Mi)
% 0.40/0.64 % (29669)dis-1002_1_bd=off:fsd=off:fsr=off:fde=none:nwc=1.3:sims=off:sos=all_501 on Vampire---4 for (501ds/0Mi)
% 0.40/0.64 % (29673)dis+1011_2:1_add=off:afr=on:er=known:fde=unused:nwc=1.3:nicw=on:sas=z3:sims=off:sos=on:sac=on:tgt=full_398 on Vampire---4 for (398ds/0Mi)
% 0.40/0.64 % (29670)ott-11_3:1_afr=on:anc=all_dependent:bd=preordered:bce=on:er=filter:fsd=off:fde=unused:nm=4:sos=all:sac=on:tgt=full:urr=on_476 on Vampire---4 for (476ds/0Mi)
% 0.40/0.64 % (29672)dis+3_3:2_aac=none:fsd=off:fde=none:lcm=reverse:nm=32:nicw=on:sos=on:sac=on:sp=occurrence_419 on Vampire---4 for (419ds/0Mi)
% 0.40/0.64 % (29671)ott+1010_3_aac=none:bs=unit_only:bce=on:ep=R:er=filter:fsd=off:fde=none:gsp=on:irw=on:lcm=predicate:nwc=10.0:sos=all:sp=occurrence_449 on Vampire---4 for (449ds/0Mi)
% 0.40/0.71 % (29672)First to succeed.
% 0.40/0.71 % (29672)Refutation found. Thanks to Tanya!
% 0.40/0.71 % SZS status Unsatisfiable for Vampire---4
% 0.40/0.71 % SZS output start Proof for Vampire---4
% See solution above
% 0.40/0.71 % (29672)------------------------------
% 0.40/0.71 % (29672)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.40/0.71 % (29672)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.40/0.71 % (29672)Termination reason: Refutation
% 0.40/0.71
% 0.40/0.71 % (29672)Memory used [KB]: 10874
% 0.40/0.71 % (29672)Time elapsed: 0.070 s
% 0.40/0.71 % (29672)------------------------------
% 0.40/0.71 % (29672)------------------------------
% 0.40/0.71 % (29667)Success in time 0.168 s
% 0.40/0.71 % Vampire---4.8 exiting
%------------------------------------------------------------------------------