%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV289-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:20:45 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.28s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 10 unt; 0 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 41 ( 16 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 15 con; 0-3 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
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_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,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/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f2,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3,negated_conjecture,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f6,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f7,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(X1,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X6),c_Message_Omsg_OAgent(X1)))))))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X5)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X6),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X5)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OB__trusts__OR3__dest_0) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__not__see__encrypted__key__dest_0) ).
fof(f10,plain,
! [X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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(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(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolution,[],[f8,f1]) ).
fof(f11,plain,
! [X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| c_in(v_B,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(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[],[f10,f6]) ).
fof(f12,plain,
! [X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| 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(X1))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X1)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[],[f11,f5]) ).
fof(f13,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_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(resolution,[],[f12,f2]) ).
fof(f14,plain,
( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolution,[],[f13,f9]) ).
fof(f15,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[],[f14,f6]) ).
fof(f16,plain,
( c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[],[f15,f7]) ).
fof(f17,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(forward_subsumption_resolution,[],[f16,f5]) ).
fof(f18,plain,
c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(forward_subsumption_resolution,[],[f17,f4]) ).
fof(f19,plain,
$false,
inference(forward_subsumption_resolution,[],[f18,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV289-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 10:21:36 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.28 % (3459551)Will run a generic schedule for satisfiability detection.
% 0.08/0.28 % (3459556)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3334483337_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.28 % (3459557)% WARNING: option uhcvi not known.
% 0.08/0.28 % TRYING [1]
% 0.08/0.28 % TRYING [2]
% 0.08/0.28 % (3459558)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4204954128:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.28 % (3459557)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1119705722:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.28 % (3459559)dis+10_1_sil=32000:sp=arity:random_seed=2147154947:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.28 % (3459561)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3577816783:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.28 % (3459562)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3595251781:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.28 % (3459560)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2227420424:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.28 % (3459559) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3459551-3459559"...
% 0.08/0.28 % (3459557) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3459551-3459557"...
% 0.08/0.28 % (3459561) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3459551-3459561"...
% 0.08/0.28 % (3459562) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3459551-3459562"...
% 0.08/0.28 % (3459560) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3459551-3459560"...
% 0.08/0.28 % (3459558) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3459551-3459558"...
% 0.08/0.28 % (3459559)...printing done.
% 0.08/0.28 % (3459557)...printing done.
% 0.08/0.28 % (3459561)...printing done.
% 0.08/0.28 % (3459560)...printing done.
% 0.08/0.28 % (3459562)...printing done.
% 0.08/0.28 % (3459557)Refutation found. Thanks to Tanya!
% 0.08/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.28 % (3459557)------------------------------
% 0.08/0.28 % (3459557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.28 % (3459557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.28 % (3459557)CaDiCaL version: 2.1.3
% 0.08/0.28 % (3459557)Termination reason: Refutation
% 0.08/0.28 % (3459557)Time elapsed: 0.002 s
% 0.08/0.28 % (3459557)Peak memory usage: 11 MB
% 0.08/0.28 % (3459557)Instructions burned: 1 (million)
% 0.08/0.28 % (3459551)Success in time 0.041 s
% 0.20/0.28 % Vampire exiting
%------------------------------------------------------------------------------