%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV347-1 : 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 : n008.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 01:08:57 PM UTC 2026
% Result : Unsatisfiable 3.60s 1.35s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 23 ( 5 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 26 ( 26 usr; 15 con; 0-3 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3583,axiom,
! [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(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(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)
| X4 = X11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_1) ).
fof(f3599,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3601,negated_conjecture,
c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
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_NAa),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3607,negated_conjecture,
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/benchmark/theBenchmark.p',cls_conjecture_7) ).
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(f3696,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)
| ~ 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)
| v_A = X3 ),
inference(resolution,[],[f3607,f3583]) ).
fof(f3701,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)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_A = X3 ),
inference(forward_subsumption_resolution,[],[f3696,f3602]) ).
fof(f3704,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 ),
inference(forward_subsumption_resolution,[],[f3701,f3608]) ).
fof(f3914,plain,
v_A = v_Aa,
inference(resolution,[],[f3704,f3605]) ).
fof(f3919,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(superposition,[],[f3599,f3914]) ).
fof(f3920,plain,
$false,
inference(forward_subsumption_resolution,[],[f3919,f3601]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV347-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n008.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 10:41:10 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 3.60/1.35 % (2164339)Input is clausal, will run a generic CNF schedule.
% 3.60/1.35 % (2164348)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3055206805:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.60/1.35 % (2164348)Instruction limit reached!
% 3.60/1.35 % (2164348)------------------------------
% 3.60/1.35 % (2164348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.35 % (2164348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.35 % (2164348)CaDiCaL version: 2.1.3
% 3.60/1.35 % (2164348)Termination reason: Instruction limit
% 3.60/1.35 % (2164348)Termination phase: Saturation
% 3.60/1.35 % (2164348)Time elapsed: 0.039 s
% 3.60/1.35 % (2164348)Peak memory usage: 91 MB
% 3.60/1.35 % (2164348)Instructions burned: 115 (million)
% 3.60/1.35 % (2164349)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3184349837:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.60/1.35 % (2164344)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=2040845515:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.60/1.35 % (2164347)lrs+10_1_sil=8000:sp=occurrence:random_seed=2144411246:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.60/1.35 % (2164345)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=259401578:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.60/1.35 % (2164346)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2519402788:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.60/1.35 % (2164350)dis-21_1_sil=8000:lcm=predicate:random_seed=468732157: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)
% 3.60/1.35 % (2164350)Instruction limit reached!
% 3.60/1.35 % (2164350)------------------------------
% 3.60/1.35 % (2164350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.35 % (2164350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.35 % (2164350)CaDiCaL version: 2.1.3
% 3.60/1.35 % (2164350)Termination reason: Instruction limit
% 3.60/1.35 % (2164350)Termination phase: Saturation
% 3.60/1.35 % (2164350)Time elapsed: 0.066 s
% 3.60/1.35 % (2164350)Peak memory usage: 91 MB
% 3.60/1.35 % (2164350)Instructions burned: 118 (million)
% 3.60/1.35 % (2164347)Instruction limit reached!
% 3.60/1.35 % (2164347)------------------------------
% 3.60/1.35 % (2164347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.35 % (2164347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.35 % (2164347)CaDiCaL version: 2.1.3
% 3.60/1.35 % (2164347)Termination reason: Instruction limit
% 3.60/1.35 % (2164347)Termination phase: Saturation
% 3.60/1.35 % (2164347)Time elapsed: 0.072 s
% 3.60/1.35 % (2164347)Peak memory usage: 91 MB
% 3.60/1.35 % (2164347)Instructions burned: 108 (million)
% 3.60/1.35 % (2164358)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=1791230873:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.60/1.35 % (2164358)First to succeed.
% 3.60/1.35 % (2164358)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2164339"
% 3.60/1.35 % (2164349)Instruction limit reached!
% 3.60/1.35 % (2164349)------------------------------
% 3.60/1.35 % (2164349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.35 % (2164349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.35 % (2164349)CaDiCaL version: 2.1.3
% 3.60/1.35 % (2164349)Termination reason: Instruction limit
% 3.60/1.35 % (2164349)Termination phase: Saturation
% 3.60/1.35 % (2164349)Time elapsed: 0.108 s
% 3.60/1.35 % (2164349)Peak memory usage: 92 MB
% 3.60/1.35 % (2164349)Instructions burned: 180 (million)
% 3.60/1.35 % (2164359)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=901101006:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.60/1.35 % (2164360)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=212645438:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.60/1.35 % (2164362)lrs+10_64_to=lpo:sil=8000:random_seed=1629356657:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.60/1.35 % (2164358)Refutation found. Thanks to Tanya!
% 3.60/1.35 % SZS status Unsatisfiable for theBenchmark
% 3.60/1.35 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.35 % (2164358)------------------------------
% 3.60/1.35 % (2164358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.35 % (2164358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.35 % (2164358)CaDiCaL version: 2.1.3
% 3.60/1.35 % (2164358)Termination reason: Refutation
% 3.60/1.35 % (2164358)Time elapsed: 0.017 s
% 3.60/1.35 % (2164358)Peak memory usage: 91 MB
% 3.60/1.35 % (2164358)Instructions burned: 45 (million)
% 3.60/1.35 % (2164358)------------------------------
% 3.60/1.35 % (2164358)------------------------------
% 3.60/1.35 % (2164339)Success in time 0.487 s
% 3.60/1.35 % Vampire exiting
%------------------------------------------------------------------------------