TSTP Solution File: SWV300-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV300-1 : 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 : n029.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 23:09:25 EDT 2023
% Result : Unsatisfiable 17.65s 2.97s
% Output : Refutation 17.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 46 ( 12 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 37 ~; 34 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 6 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-3 aty)
% Number of variables : 32 (; 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f31300,plain,
$false,
inference(avatar_sat_refutation,[],[f8162,f20888,f21326,f21509,f21692,f31294]) ).
fof(f31294,plain,
~ spl0_33,
inference(avatar_contradiction_clause,[],[f31293]) ).
fof(f31293,plain,
( $false
| ~ spl0_33 ),
inference(subsumption_resolution,[],[f31272,f21691]) ).
fof(f21691,plain,
( ! [X1] : ~ c_in(c_Message_Omsg_OMPair(v_X,X1),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f21690]) ).
fof(f21690,plain,
( spl0_33
<=> ! [X1] : ~ c_in(c_Message_Omsg_OMPair(v_X,X1),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_33])]) ).
fof(f31272,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_NB),c_Message_Omsg_OKey(v_Ka)))),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg),
inference(resolution,[],[f4903,f1433]) ).
fof(f1433,axiom,
! [X53,X64] :
( ~ c_in(X53,X64,tc_Message_Omsg)
| c_in(X53,c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_Message_Osynth_OInj_0) ).
fof(f4903,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_NB),c_Message_Omsg_OKey(v_Ka)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[],[f1742,f1395]) ).
fof(f1395,axiom,
! [X65,X53,X64] :
( c_in(X65,c_Message_Oanalz(X64),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oanalz(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_Message_OMPair__analz_0) ).
fof(f1742,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_NB),c_Message_Omsg_OKey(v_Ka))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),
inference(resolution,[],[f1479,f1437]) ).
fof(f1437,axiom,
! [X54,X53,X12,X13] :
( c_in(X53,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X12,X13,X53),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f1479,axiom,
c_in(c_Event_Oevent_OSays(v_Aaa,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_NB),c_Message_Omsg_OKey(v_Ka)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_conjecture_4) ).
fof(f21692,plain,
( spl0_33
| spl0_8 ),
inference(avatar_split_clause,[],[f8164,f8160,f21690]) ).
fof(f8160,plain,
( spl0_8
<=> 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_8])]) ).
fof(f8164,plain,
( ! [X1] : ~ c_in(c_Message_Omsg_OMPair(v_X,X1),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| spl0_8 ),
inference(resolution,[],[f8161,f1404]) ).
fof(f1404,axiom,
! [X65,X53,X64] :
( c_in(X53,c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_Message_OMPair__synth__analz__iff1_0) ).
fof(f8161,plain,
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4))),tc_Message_Omsg)
| spl0_8 ),
inference(avatar_component_clause,[],[f8160]) ).
fof(f21509,plain,
~ spl0_27,
inference(avatar_contradiction_clause,[],[f21508]) ).
fof(f21508,plain,
( $false
| ~ spl0_27 ),
inference(subsumption_resolution,[],[f21485,f1475]) ).
fof(f1475,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_conjecture_0) ).
fof(f21485,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_27 ),
inference(resolution,[],[f21325,f2285]) ).
fof(f2285,plain,
! [X13] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X13)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(X13,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[],[f1505,f1440]) ).
fof(f1440,axiom,
! [X4,X64] :
( ~ c_in(X4,c_Message_Oanalz(X64),tc_Message_Omsg)
| c_in(X4,c_Message_Oparts(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_Message_Oanalz__into__parts__dest_0) ).
fof(f1505,plain,
! [X14] :
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X14)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| c_in(X14,c_Event_Obad,tc_Message_Oagent) ),
inference(resolution,[],[f1476,f1443]) ).
fof(f1443,axiom,
! [X54,X12] :
( c_in(X12,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X54,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X12)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_OtwayRees_OSpy__see__shrK__D__dest_0) ).
fof(f1476,axiom,
c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_conjecture_1) ).
fof(f21325,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f21324]) ).
fof(f21324,plain,
( spl0_27
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f21326,plain,
( spl0_27
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f21320,f20886,f21324]) ).
fof(f20886,plain,
( spl0_23
<=> 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_evs4))),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f21320,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f21293,f1574]) ).
fof(f1574,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_evs4)),tc_Message_Omsg),
inference(resolution,[],[f1480,f1440]) ).
fof(f1480,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_evs4)),tc_Message_Omsg),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_conjecture_5) ).
fof(f21293,plain,
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),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_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_23 ),
inference(resolution,[],[f20887,f1374]) ).
fof(f1374,axiom,
! [X63,X53,X64] :
( c_in(c_Message_Omsg_OKey(X63),X64,tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(X63,X53),X64,tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Osynth(X64),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_Message_OCrypt__synth_0) ).
fof(f20887,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_evs4))),tc_Message_Omsg)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f20886]) ).
fof(f20888,plain,
( spl0_23
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f8436,f8157,f20886]) ).
fof(f8157,plain,
( spl0_7
<=> 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_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_7])]) ).
fof(f8436,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_evs4))),tc_Message_Omsg)
| ~ spl0_7 ),
inference(resolution,[],[f8158,f1586]) ).
fof(f1586,plain,
! [X14] :
( ~ 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(X14,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),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))),X14,tc_Message_Omsg) ),
inference(resolution,[],[f1480,f1328]) ).
fof(f1328,axiom,
! [X1,X4,X12,X13] :
( c_in(X4,X12,X1)
| c_in(X4,X13,X1)
| ~ c_in(X4,c_union(X12,X13,X1),X1) ),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_Set_OUnE_0) ).
fof(f8158,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_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f8157]) ).
fof(f8162,plain,
( spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1665,f8160,f8157]) ).
fof(f1665,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_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_evs4))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[],[f1482,f1438]) ).
fof(f1438,axiom,
! [X68,X53,X64] :
( ~ c_in(X53,c_Message_Osynth(c_Message_Oanalz(X64)),tc_Message_Omsg)
| ~ c_in(X68,c_Message_Oparts(c_insert(X53,X64,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X68,c_union(c_Message_Osynth(c_Message_Oanalz(X64)),c_Message_Oparts(X64),tc_Message_Omsg),tc_Message_Omsg) ),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
fof(f1482,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_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712',cls_conjecture_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.20 % Problem : SWV300-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.22 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.22/0.43 % Computer : n029.cluster.edu
% 0.22/0.43 % Model : x86_64 x86_64
% 0.22/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.43 % Memory : 8042.1875MB
% 0.22/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.43 % CPULimit : 300
% 0.22/0.43 % WCLimit : 300
% 0.22/0.43 % DateTime : Tue Aug 29 03:05:56 EDT 2023
% 0.22/0.43 % CPUTime :
% 0.22/0.43 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.22/0.43 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.u7UHOkr9Ul/Vampire---4.8_31712
% 0.22/0.43 % (31943)Running in auto input_syntax mode. Trying TPTP
% 0.28/0.49 % (31950)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)
% 0.28/0.51 % (31944)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)
% 0.28/0.51 % (31948)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)
% 0.28/0.51 % (31947)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)
% 0.28/0.51 % (31945)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)
% 0.28/0.51 % (31946)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)
% 0.28/0.51 % (31949)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)
% 17.65/2.97 % (31946)First to succeed.
% 17.65/2.97 % (31946)Refutation found. Thanks to Tanya!
% 17.65/2.97 % SZS status Unsatisfiable for Vampire---4
% 17.65/2.97 % SZS output start Proof for Vampire---4
% See solution above
% 17.65/2.97 % (31946)------------------------------
% 17.65/2.97 % (31946)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 17.65/2.97 % (31946)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 17.65/2.97 % (31946)Termination reason: Refutation
% 17.65/2.97
% 17.65/2.97 % (31946)Memory used [KB]: 45926
% 17.65/2.97 % (31946)Time elapsed: 2.449 s
% 17.65/2.97 % (31946)------------------------------
% 17.65/2.97 % (31946)------------------------------
% 17.65/2.97 % (31943)Success in time 2.526 s
% 17.65/2.97 % Vampire---4.8 exiting
%------------------------------------------------------------------------------