%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV359-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:09:00 PM UTC 2026
% Result : Unsatisfiable 4.27s 1.53s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 11
% Syntax : Number of formulae : 31 ( 12 unt; 2 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 23 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 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; 12 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3444,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f3445,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
fof(f3561,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
fof(f3563,axiom,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSpy__analz__shrK_1) ).
fof(f3580,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(X0)),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Oanalz__shrK__Decrypt_0) ).
fof(f3602,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3605,negated_conjecture,
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_NB),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3608,negated_conjecture,
~ 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/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f3609,negated_conjecture,
c_in(v_Ba,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f3641,plain,
( ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(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_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(resolution,[],[f3605,f3561]) ).
fof(f3642,plain,
c_in(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_NB),c_Message_Omsg_ONonce(v_NBa))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f3641,f3602]) ).
fof(f3823,plain,
c_in(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_NB),c_Message_Omsg_ONonce(v_NBa)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f3642,f3444]) ).
fof(f3871,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(resolution,[],[f3823,f3580]) ).
fof(f3874,definition,
( spl0_1
<=> c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3875,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f3874]) ).
fof(f3877,definition,
( spl0_2
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3878,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_Ba)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| spl0_2 ),
inference(avatar_component_clause,[],[f3877]) ).
fof(f3879,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3871,f3877,f3874]) ).
fof(f3880,plain,
( ~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| spl0_2 ),
inference(resolution,[],[f3878,f3563]) ).
fof(f3882,plain,
( ~ c_in(v_Ba,c_Event_Obad,tc_Message_Oagent)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f3880,f3602]) ).
fof(f3883,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f3882,f3609]) ).
fof(f3884,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f3883]) ).
fof(f3912,plain,
( c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NBa)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f3875,f3444]) ).
fof(f3951,plain,
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f3912,f3445]) ).
fof(f3953,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f3951,f3608]) ).
fof(f3954,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f3953]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f3879]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f3884]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f3954]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f3955,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV359-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n015.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Mon Sep 28 10:46:32 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 Running first-order theorem proving
% 0.12/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.27/1.53 % (2535690)Input is clausal, will run a generic CNF schedule.
% 4.27/1.53 % (2535766)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=850773210:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.27/1.53 % (2535763)lrs+10_1_sil=8000:sp=occurrence:random_seed=2886763561:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.27/1.53 % (2535761)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2331143880:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.27/1.53 % (2535760)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2892451277:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.27/1.53 % (2535759)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2310413978:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.27/1.53 % (2535764)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=973506516:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.27/1.53 % (2535767)dis-21_1_sil=8000:lcm=predicate:random_seed=2352073602:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.27/1.53 % (2535766)Instruction limit reached!
% 4.27/1.53 % (2535766)------------------------------
% 4.27/1.53 % (2535766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.53 % (2535766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.53 % (2535766)CaDiCaL version: 2.1.3
% 4.27/1.53 % (2535766)Termination reason: Instruction limit
% 4.27/1.53 % (2535766)Termination phase: Saturation
% 4.27/1.53 % (2535766)Time elapsed: 0.059 s
% 4.27/1.53 % (2535766)Peak memory usage: 92 MB
% 4.27/1.53 % (2535766)Instructions burned: 182 (million)
% 4.27/1.53 % (2535764)Instruction limit reached!
% 4.27/1.53 % (2535764)------------------------------
% 4.27/1.53 % (2535764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.53 % (2535764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.53 % (2535764)CaDiCaL version: 2.1.3
% 4.27/1.53 % (2535764)Termination reason: Instruction limit
% 4.27/1.53 % (2535764)Termination phase: Saturation
% 4.27/1.53 % (2535764)Time elapsed: 0.072 s
% 4.27/1.53 % (2535764)Peak memory usage: 91 MB
% 4.27/1.53 % (2535764)Instructions burned: 115 (million)
% 4.27/1.53 % (2535763)Instruction limit reached!
% 4.27/1.53 % (2535763)------------------------------
% 4.27/1.53 % (2535763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.53 % (2535763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.53 % (2535763)CaDiCaL version: 2.1.3
% 4.27/1.53 % (2535763)Termination reason: Instruction limit
% 4.27/1.53 % (2535763)Termination phase: Saturation
% 4.27/1.53 % (2535763)Time elapsed: 0.073 s
% 4.27/1.53 % (2535763)Peak memory usage: 91 MB
% 4.27/1.53 % (2535763)Instructions burned: 107 (million)
% 4.27/1.53 % (2535767)Instruction limit reached!
% 4.27/1.53 % (2535767)------------------------------
% 4.27/1.53 % (2535767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.53 % (2535767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.53 % (2535767)CaDiCaL version: 2.1.3
% 4.27/1.53 % (2535767)Termination reason: Instruction limit
% 4.27/1.53 % (2535767)Termination phase: Saturation
% 4.27/1.53 % (2535767)Time elapsed: 0.066 s
% 4.27/1.53 % (2535767)Peak memory usage: 91 MB
% 4.27/1.53 % (2535767)Instructions burned: 118 (million)
% 4.27/1.53 % (2535811)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3681054644:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.27/1.53 % (2535811)First to succeed.
% 4.27/1.53 % (2535811)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2535690"
% 4.27/1.53 % (2535819)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1764027002:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.27/1.53 % (2535818)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=849405721:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 4.27/1.53 % (2535823)lrs+10_64_to=lpo:sil=8000:random_seed=2565731600:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.27/1.53 % (2535811)Refutation found. Thanks to Tanya!
% 4.27/1.53 % SZS status Unsatisfiable for theBenchmark
% 4.27/1.53 % SZS output start Proof for theBenchmark
% See solution above
% 4.27/1.53 % (2535811)------------------------------
% 4.27/1.53 % (2535811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.53 % (2535811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.53 % (2535811)CaDiCaL version: 2.1.3
% 4.27/1.53 % (2535811)Termination reason: Refutation
% 4.27/1.53 % (2535811)Time elapsed: 0.018 s
% 4.27/1.53 % (2535811)Peak memory usage: 92 MB
% 4.27/1.53 % (2535811)Instructions burned: 48 (million)
% 4.27/1.53 % (2535811)------------------------------
% 4.27/1.53 % (2535811)------------------------------
% 4.27/1.53 % (2535690)Success in time 0.557 s
% 4.27/1.53 % Vampire exiting
%------------------------------------------------------------------------------