TSTP Solution File: SWV362-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV362-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -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 : Tue Apr 30 16:46:34 EDT 2024
% Result : Unsatisfiable 0.23s 0.39s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 16
% Syntax : Number of formulae : 36 ( 14 unt; 0 def)
% Number of atoms : 82 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 82 ( 36 ~; 37 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 10 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 54 ( 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,plain,
$false,
inference(avatar_sat_refutation,[],[f12,f17,f22,f27,f32,f37,f41,f46,f52,f55]) ).
fof(f55,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f54,f49,f14,f9]) ).
fof(f9,plain,
( spl0_1
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f14,plain,
( spl0_2
<=> c_in(v_Aa,c_Event_Obad,tc_Message_Oagent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f49,plain,
( spl0_9
<=> v_A = v_Aa ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f54,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_2
| ~ spl0_9 ),
inference(superposition,[],[f16,f51]) ).
fof(f51,plain,
( v_A = v_Aa
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f16,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f14]) ).
fof(f52,plain,
( spl0_9
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f47,f44,f29,f49]) ).
fof(f29,plain,
( spl0_5
<=> c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f44,plain,
( spl0_8
<=> ! [X4,X0,X3,X2,X1] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| v_A = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f47,plain,
( v_A = v_Aa
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f45,f31]) ).
fof(f31,plain,
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f45,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| v_A = X3 )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f46,plain,
( spl0_8
| spl0_4
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f42,f39,f34,f19,f24,f44]) ).
fof(f24,plain,
( spl0_4
<=> c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f19,plain,
( spl0_3
<=> c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f34,plain,
( spl0_6
<=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f39,plain,
( spl0_7
<=> ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( X4 = X11
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X7,X8,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X12),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f42,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| v_A = X3 )
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f40,f36]) ).
fof(f36,plain,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f40,plain,
( ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ c_in(c_Event_Oevent_OSays(X7,X8,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X12),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| X4 = X11 )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f41,plain,
spl0_7,
inference(avatar_split_clause,[],[f1,f39]) ).
fof(f1,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( X4 = X11
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X5),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(X7,X8,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X12),X6))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_1) ).
fof(f37,plain,
spl0_6,
inference(avatar_split_clause,[],[f5,f34]) ).
fof(f5,axiom,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f32,plain,
spl0_5,
inference(avatar_split_clause,[],[f4,f29]) ).
fof(f4,axiom,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f27,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f6,f24]) ).
fof(f6,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f22,plain,
spl0_3,
inference(avatar_split_clause,[],[f3,f19]) ).
fof(f3,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f17,plain,
spl0_2,
inference(avatar_split_clause,[],[f7,f14]) ).
fof(f7,axiom,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f12,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f2,f9]) ).
fof(f2,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV362-2 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n013.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 : Tue Apr 30 04:38:34 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (5744)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.38 % (5747)WARNING: value z3 for option sas not known
% 0.23/0.38 % (5745)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.38 % (5748)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.38 % (5747)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 theBenchmark for (569ds/0Mi)
% 0.23/0.38 % (5749)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 theBenchmark for (531ds/0Mi)
% 0.23/0.38 % (5746)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.38 % (5750)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 theBenchmark for (522ds/0Mi)
% 0.23/0.38 % (5751)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 theBenchmark for (497ds/0Mi)
% 0.23/0.38 % (5749)First to succeed.
% 0.23/0.39 % (5751)Also succeeded, but the first one will report.
% 0.23/0.39 TRYING [1]
% 0.23/0.39 % (5747)Also succeeded, but the first one will report.
% 0.23/0.39 % (5749)Refutation found. Thanks to Tanya!
% 0.23/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.39 % (5749)------------------------------
% 0.23/0.39 % (5749)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.39 % (5749)Termination reason: Refutation
% 0.23/0.39
% 0.23/0.39 % (5749)Memory used [KB]: 767
% 0.23/0.39 % (5749)Time elapsed: 0.005 s
% 0.23/0.39 % (5749)Instructions burned: 4 (million)
% 0.23/0.39 % (5749)------------------------------
% 0.23/0.39 % (5749)------------------------------
% 0.23/0.39 % (5744)Success in time 0.021 s
%------------------------------------------------------------------------------