TSTP Solution File: SWV286-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV286-1 : 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 : n032.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 23:09:18 EDT 2023
% Result : Unsatisfiable 0.23s 0.47s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 41 ( 19 ~; 21 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-5 aty)
% Number of variables : 32 (; 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1743,plain,
$false,
inference(subsumption_resolution,[],[f1742,f1482]) ).
fof(f1482,axiom,
! [X82,X24] : ~ 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(X82,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X24,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/tmp/tmp.HMO8d2SLnQ/Vampire---4.8_24747',cls_conjecture_5) ).
fof(f1742,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_sko__vEb(v_A,v_B,v_NA,v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),v_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(subsumption_resolution,[],[f1741,f1480]) ).
fof(f1480,axiom,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/tmp/tmp.HMO8d2SLnQ/Vampire---4.8_24747',cls_conjecture_3) ).
fof(f1741,plain,
( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| 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_sko__vEb(v_A,v_B,v_NA,v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),v_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(subsumption_resolution,[],[f1738,f1481]) ).
fof(f1481,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/tmp/tmp.HMO8d2SLnQ/Vampire---4.8_24747',cls_conjecture_4) ).
fof(f1738,plain,
( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| 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_sko__vEb(v_A,v_B,v_NA,v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),v_evs),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolution,[],[f1714,f1474]) ).
fof(f1474,axiom,
! [X80,X54,X77,X63,X12,X13] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X13,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OKey(X63))),c_Message_Omsg_OCrypt(c_Public_OshrK(X13),c_Message_Omsg_OMPair(X80,c_Message_Omsg_OKey(X63)))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X54,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X13,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(X13,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(v_sko__vEb(X12,X13,X77,X80,X54),c_Message_Omsg_OCrypt(c_Public_OshrK(X13),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(X80,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OAgent(X13)))))))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/tmp/tmp.HMO8d2SLnQ/Vampire---4.8_24747',cls_OtwayRees_OOR3__imp__OR2__dest_0) ).
fof(f1714,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_sko__u8o(v_A,v_B,v_K,v_NA,v_evs),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(resolution,[],[f1702,f1695]) ).
fof(f1695,plain,
sP5(v_evs,v_NA,v_K,v_A),
inference(resolution,[],[f1477,f1493]) ).
fof(f1493,plain,
! [X54,X79,X77,X63,X12] :
( ~ c_in(c_Event_Oevent_OSays(X79,X12,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OKey(X63))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
| sP5(X54,X77,X63,X12) ),
inference(cnf_transformation,[],[f1493_D]) ).
fof(f1493_D,plain,
! [X12,X63,X77,X54] :
( ! [X79] : ~ c_in(c_Event_Oevent_OSays(X79,X12,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OKey(X63))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
<=> ~ sP5(X54,X77,X63,X12) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1477,axiom,
c_in(c_Event_Oevent_OSays(v_B_H,v_A,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/tmp/tmp.HMO8d2SLnQ/Vampire---4.8_24747',cls_conjecture_0) ).
fof(f1702,plain,
! [X0] :
( ~ sP5(v_evs,v_NA,X0,v_A)
| 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(X0))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,X0,v_NA,v_evs),c_Message_Omsg_OKey(X0)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(subsumption_resolution,[],[f1701,f1479]) ).
fof(f1479,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/tmp/tmp.HMO8d2SLnQ/Vampire---4.8_24747',cls_conjecture_2) ).
fof(f1701,plain,
! [X0] :
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| 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(X0))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,X0,v_NA,v_evs),c_Message_Omsg_OKey(X0)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ sP5(v_evs,v_NA,X0,v_A) ),
inference(subsumption_resolution,[],[f1698,f1481]) ).
fof(f1698,plain,
! [X0] :
( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| 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(X0))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_sko__u8o(v_A,v_B,X0,v_NA,v_evs),c_Message_Omsg_OKey(X0)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ sP5(v_evs,v_NA,X0,v_A) ),
inference(resolution,[],[f1478,f1494]) ).
fof(f1494,plain,
! [X54,X77,X63,X12,X13] :
( ~ c_in(c_Event_Oevent_OSays(X12,X13,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OAgent(X13)))))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X54,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X12,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X13,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OKey(X63))),c_Message_Omsg_OCrypt(c_Public_OshrK(X13),c_Message_Omsg_OMPair(v_sko__u8o(X12,X13,X63,X77,X54),c_Message_Omsg_OKey(X63)))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
| ~ sP5(X54,X77,X63,X12) ),
inference(general_splitting,[],[f1473,f1493_D]) ).
fof(f1473,axiom,
! [X54,X79,X77,X63,X12,X13] :
( c_in(X12,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X54,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(X79,X12,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OKey(X63))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X12,X13,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OAgent(X13)))))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X13,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OKey(X63))),c_Message_Omsg_OCrypt(c_Public_OshrK(X13),c_Message_Omsg_OMPair(v_sko__u8o(X12,X13,X63,X77,X54),c_Message_Omsg_OKey(X63)))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/tmp/tmp.HMO8d2SLnQ/Vampire---4.8_24747',cls_OtwayRees_OA__trusts__OR4__dest_0) ).
fof(f1478,axiom,
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_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/tmp/tmp.HMO8d2SLnQ/Vampire---4.8_24747',cls_conjecture_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.16 % Problem : SWV286-1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.18 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.18/0.38 % Computer : n032.cluster.edu
% 0.18/0.38 % Model : x86_64 x86_64
% 0.18/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.38 % Memory : 8042.1875MB
% 0.18/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.38 % CPULimit : 300
% 0.18/0.38 % WCLimit : 300
% 0.18/0.38 % DateTime : Tue Aug 29 05:58:16 EDT 2023
% 0.23/0.38 % CPUTime :
% 0.23/0.38 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.23/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.HMO8d2SLnQ/Vampire---4.8_24747
% 0.23/0.38 % (24854)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.45 % (24855)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 0.23/0.45 % (24859)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.23/0.45 % (24858)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.23/0.45 % (24856)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.23/0.46 % (24861)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.23/0.46 % (24860)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.23/0.46 % (24857)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.23/0.47 % (24861)First to succeed.
% 0.23/0.47 % (24861)Refutation found. Thanks to Tanya!
% 0.23/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.47 % (24861)------------------------------
% 0.23/0.47 % (24861)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.47 % (24861)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.47 % (24861)Termination reason: Refutation
% 0.23/0.47
% 0.23/0.47 % (24861)Memory used [KB]: 2814
% 0.23/0.47 % (24861)Time elapsed: 0.013 s
% 0.23/0.47 % (24861)------------------------------
% 0.23/0.47 % (24861)------------------------------
% 0.23/0.47 % (24854)Success in time 0.084 s
% 0.23/0.47 % Vampire---4.8 exiting
%------------------------------------------------------------------------------