TSTP Solution File: SWV347-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV347-2 : 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 : n004.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 13:02:08 EDT 2023
% Result : Unsatisfiable 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 30 ( 14 unt; 0 def)
% Number of atoms : 65 ( 8 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 36 ~; 30 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-6 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 115 (; 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,plain,
$false,
inference(subsumption_resolution,[],[f34,f2]) ).
fof(f2,axiom,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/tmp/tmp.GsUOJF8yzz/Vampire---4.8_10146',cls_conjecture_0) ).
fof(f34,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(superposition,[],[f3,f32]) ).
fof(f32,plain,
v_A = v_Aa,
inference(unit_resulting_resolution,[],[f24,f27,f16]) ).
fof(f16,plain,
! [X0,X11,X6,X4] :
( ~ sP3(X0,X6,X4)
| X4 = X11
| sP4(X0,X11,X6) ),
inference(cnf_transformation,[],[f16_D]) ).
fof(f16_D,plain,
! [X6,X11,X0] :
( ! [X4] :
( ~ sP3(X0,X6,X4)
| X4 = X11 )
<=> ~ sP4(X0,X11,X6) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f27,plain,
~ sP4(v_evs3,v_A,c_Message_Omsg_ONonce(v_NB)),
inference(unit_resulting_resolution,[],[f4,f7,f6,f17]) ).
fof(f17,plain,
! [X10,X0,X11,X8,X6,X9,X7,X12] :
( ~ sP4(X0,X11,X6)
| c_in(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ 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)) ),
inference(general_splitting,[],[f15,f16_D]) ).
fof(f15,plain,
! [X10,X0,X11,X8,X6,X9,X7,X4,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_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)
| ~ sP3(X0,X6,X4) ),
inference(general_splitting,[],[f13,f14_D]) ).
fof(f14,plain,
! [X0,X6,X4,X5] :
( ~ sP2(X0,X6,X4,X5)
| sP3(X0,X6,X4) ),
inference(cnf_transformation,[],[f14_D]) ).
fof(f14_D,plain,
! [X4,X6,X0] :
( ! [X5] : ~ sP2(X0,X6,X4,X5)
<=> ~ sP3(X0,X6,X4) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X10,X0,X11,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_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)
| ~ sP2(X0,X6,X4,X5) ),
inference(general_splitting,[],[f11,f12_D]) ).
fof(f12,plain,
! [X0,X1,X6,X4,X5] :
( ~ sP1(X0,X1,X6,X4,X5)
| sP2(X0,X6,X4,X5) ),
inference(cnf_transformation,[],[f12_D]) ).
fof(f12_D,plain,
! [X5,X4,X6,X0] :
( ! [X1] : ~ sP1(X0,X1,X6,X4,X5)
<=> ~ sP2(X0,X6,X4,X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [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_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)
| ~ sP1(X0,X1,X6,X4,X5) ),
inference(general_splitting,[],[f9,f10_D]) ).
fof(f10,plain,
! [X3,X0,X1,X6,X4,X5] :
( ~ sP0(X3,X0,X1,X6,X4,X5)
| sP1(X0,X1,X6,X4,X5) ),
inference(cnf_transformation,[],[f10_D]) ).
fof(f10_D,plain,
! [X5,X4,X6,X1,X0] :
( ! [X3] : ~ sP0(X3,X0,X1,X6,X4,X5)
<=> ~ sP1(X0,X1,X6,X4,X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f9,plain,
! [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_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)
| ~ sP0(X3,X0,X1,X6,X4,X5) ),
inference(general_splitting,[],[f1,f8_D]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ 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)
| sP0(X3,X0,X1,X6,X4,X5) ),
inference(cnf_transformation,[],[f8_D]) ).
fof(f8_D,plain,
! [X5,X4,X6,X1,X0,X3] :
( ! [X2] : ~ 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)
<=> ~ sP0(X3,X0,X1,X6,X4,X5) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
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/sandbox2/tmp/tmp.GsUOJF8yzz/Vampire---4.8_10146',cls_Yahalom_OSays__unique__NB_1) ).
fof(f6,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/sandbox2/tmp/tmp.GsUOJF8yzz/Vampire---4.8_10146',cls_conjecture_7) ).
fof(f7,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/sandbox2/tmp/tmp.GsUOJF8yzz/Vampire---4.8_10146',cls_conjecture_8) ).
fof(f4,axiom,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/tmp/tmp.GsUOJF8yzz/Vampire---4.8_10146',cls_conjecture_2) ).
fof(f24,plain,
sP3(v_evs3,c_Message_Omsg_ONonce(v_NB),v_Aa),
inference(unit_resulting_resolution,[],[f22,f14]) ).
fof(f22,plain,
sP2(v_evs3,c_Message_Omsg_ONonce(v_NB),v_Aa,v_NAa),
inference(unit_resulting_resolution,[],[f20,f12]) ).
fof(f20,plain,
sP1(v_evs3,c_Message_Oagent_OServer,c_Message_Omsg_ONonce(v_NB),v_Aa,v_NAa),
inference(unit_resulting_resolution,[],[f18,f10]) ).
fof(f18,plain,
sP0(v_Ba,v_evs3,c_Message_Oagent_OServer,c_Message_Omsg_ONonce(v_NB),v_Aa,v_NAa),
inference(unit_resulting_resolution,[],[f5,f8]) ).
fof(f5,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/sandbox2/tmp/tmp.GsUOJF8yzz/Vampire---4.8_10146',cls_conjecture_5) ).
fof(f3,axiom,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/tmp/tmp.GsUOJF8yzz/Vampire---4.8_10146',cls_conjecture_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : SWV347-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Aug 30 17:32:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.18/0.42 % (10254)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.43 % (10256)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.43 % (10257)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)
% 0.18/0.43 % (10260)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)
% 0.18/0.43 % (10261)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)
% 0.18/0.43 % (10255)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.43 % (10259)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)
% 0.18/0.43 % (10261)First to succeed.
% 0.18/0.43 % (10258)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.43 % (10260)Also succeeded, but the first one will report.
% 0.18/0.43 % (10261)Refutation found. Thanks to Tanya!
% 0.18/0.43 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.43 % (10261)------------------------------
% 0.18/0.43 % (10261)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.43 % (10261)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.43 % (10261)Termination reason: Refutation
% 0.18/0.43
% 0.18/0.43 % (10261)Memory used [KB]: 895
% 0.18/0.43 % (10261)Time elapsed: 0.004 s
% 0.18/0.43 % (10261)------------------------------
% 0.18/0.43 % (10261)------------------------------
% 0.18/0.43 % (10254)Success in time 0.074 s
% 0.18/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------