%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV313-1 : 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 : n005.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 01:20:51 PM UTC 2026
% Result : Unsatisfiable 0.82s 0.40s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 18 unt; 2 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 71 ( 36 ~; 33 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 24 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1498,axiom,
! [X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV006-0.ax',cls_Message_Oanalz_OInj_0) ).
fof(f1558,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ 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(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_Osecrecy__lemma__dest_0) ).
fof(f1559,negated_conjecture,
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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1560,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_1) ).
fof(f1561,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1562,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1563,negated_conjecture,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1564,negated_conjecture,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1951,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,X1,tc_Message_Omsg) ),
inference(consistent_polarity_flipping,[],[f1498]) ).
fof(f1990,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ 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)
| 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(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(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(consistent_polarity_flipping,[],[f1558]) ).
fof(f1991,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(consistent_polarity_flipping,[],[f1559]) ).
fof(f1992,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(consistent_polarity_flipping,[],[f1560]) ).
fof(f1993,plain,
c_in(v_A,c_Event_Obad,tc_Message_Oagent),
inference(consistent_polarity_flipping,[],[f1561]) ).
fof(f1994,plain,
c_in(v_B,c_Event_Obad,tc_Message_Oagent),
inference(consistent_polarity_flipping,[],[f1562]) ).
fof(f1995,plain,
~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
inference(consistent_polarity_flipping,[],[f1563]) ).
fof(f1996,plain,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
inference(consistent_polarity_flipping,[],[f1564]) ).
fof(f3910,plain,
! [X0,X1] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),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(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[],[f1990,f1992]) ).
fof(f3912,plain,
! [X0,X1] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),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(X0,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent) ),
inference(forward_subsumption_resolution,[],[f3910,f1995]) ).
fof(f3914,definition,
( spl0_3
<=> c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f3916,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f3914]) ).
fof(f3918,definition,
( spl0_4
<=> ! [X0,X1] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f3919,plain,
( ! [X0,X1] :
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f3918]) ).
fof(f3920,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f3912,f3918,f3914]) ).
fof(f3923,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg)
| ~ spl0_3 ),
inference(resolution,[],[f3916,f1951]) ).
fof(f3926,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f3923,f1996]) ).
fof(f3927,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f3926]) ).
fof(f4040,plain,
( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_4 ),
inference(resolution,[],[f3919,f1991]) ).
fof(f4043,plain,
( ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f4040,f1993]) ).
fof(f4044,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f4043,f1994]) ).
fof(f4045,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f4044]) ).
cnf(s2,plain,
( spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f3920]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f3927]) ).
cnf(s4,plain,
~ spl0_4,
inference(sat_conversion,[],[f4045]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f4046,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV313-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n005.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 10:32:31 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.82/0.40 % (698987)Will run a generic schedule for satisfiability detection.
% 0.82/0.40 % (698996)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3904662689:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.82/0.40 % (698993)% WARNING: option uhcvi not known.
% 0.82/0.40 % (698994)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2106081346:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.82/0.40 % (698992)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=246129608_2999 on theBenchmark for (2999ds/0Mi)
% 0.82/0.40 % (698993)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2543213077:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.82/0.40 % (698995)dis+10_1_sil=32000:sp=arity:random_seed=581991036:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.82/0.40 % (698997)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3307802212:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.82/0.40 % (698998)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2078313624:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.82/0.40 % (698996)Instruction limit reached!
% 0.82/0.40 % (698996)------------------------------
% 0.82/0.40 % (698996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (698996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (698996)CaDiCaL version: 2.1.3
% 0.82/0.40 % (698996)Termination reason: Instruction limit
% 0.82/0.40 % (698996)Termination phase: Saturation
% 0.82/0.40 % (698996)Time elapsed: 0.039 s
% 0.82/0.40 % (698996)Peak memory usage: 14 MB
% 0.82/0.40 % (698996)Instructions burned: 118 (million)
% 0.82/0.40 % (699006)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1207399142:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.82/0.40 % (698995)Instruction limit reached!
% 0.82/0.40 % (698995)------------------------------
% 0.82/0.40 % (698995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (698995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (698995)CaDiCaL version: 2.1.3
% 0.82/0.40 % (698995)Termination reason: Instruction limit
% 0.82/0.40 % (698995)Termination phase: Saturation
% 0.82/0.40 % (698995)Time elapsed: 0.066 s
% 0.82/0.40 % (698995)Peak memory usage: 14 MB
% 0.82/0.40 % (698995)Instructions burned: 104 (million)
% 0.82/0.40 % (698997)Instruction limit reached!
% 0.82/0.40 % (698997)------------------------------
% 0.82/0.40 % (698997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (698997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (698997)CaDiCaL version: 2.1.3
% 0.82/0.40 % (698997)Termination reason: Instruction limit
% 0.82/0.40 % (698997)Termination phase: Saturation
% 0.82/0.40 % (698997)Time elapsed: 0.072 s
% 0.82/0.40 % (698997)Peak memory usage: 14 MB
% 0.82/0.40 % (698997)Instructions burned: 132 (million)
% 0.82/0.40 % TRYING [1]
% 0.82/0.40 % TRYING [2]
% 0.82/0.40 % TRYING [1]
% 0.82/0.40 % TRYING [2]
% 0.82/0.40 % (699008)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=670091055:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.82/0.40 % (699009)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3642328897:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.82/0.40 % (698998)Instruction limit reached!
% 0.82/0.40 % (698998)------------------------------
% 0.82/0.40 % (698998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (698998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (698998)CaDiCaL version: 2.1.3
% 0.82/0.40 % (698998)Termination reason: Instruction limit
% 0.82/0.40 % (698998)Termination phase: Saturation
% 0.82/0.40 % (698998)Time elapsed: 0.100 s
% 0.82/0.40 % (698998)Peak memory usage: 14 MB
% 0.82/0.40 % (698998)Instructions burned: 159 (million)
% 0.82/0.40 % (698993) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-698987-698993"...
% 0.82/0.40 % (698993)...printing done.
% 0.82/0.40 % (698993)Refutation found. Thanks to Tanya!
% 0.82/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.82/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.82/0.40 % (698993)------------------------------
% 0.82/0.40 % (698993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.40 % (698993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.40 % (698993)CaDiCaL version: 2.1.3
% 0.82/0.40 % (698993)Termination reason: Refutation
% 0.82/0.40 % (698993)Time elapsed: 0.108 s
% 0.82/0.40 % (698993)Peak memory usage: 15 MB
% 0.82/0.40 % (698993)Instructions burned: 164 (million)
% 0.82/0.40 % (698987)Success in time 0.17 s
% 0.82/0.40 % Vampire exiting
%------------------------------------------------------------------------------