%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV015+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 01:07:54 PM UTC 2026
% Result : Satisfiable 3.90s 1.30s
% Output : Saturation 5.13s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u115,axiom,
( intruder_message(encrypt(X0,X1))
| ~ intruder_message(X1)
| ~ intruder_message(X0) ) ).
cnf(u157,axiom,
~ intruder_message(at) ).
cnf(u197,axiom,
~ intruder_message(bt) ).
cnf(u232,axiom,
intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))) ).
cnf(u254,axiom,
~ a_nonce(generate_key(an_a_nonce)) ).
cnf(u278,axiom,
( intruder_message(encrypt(triple(a,generate_key(an_a_nonce),X0),bt))
| ~ intruder_message(encrypt(triple(a,an_a_nonce,X0),bt)) ) ).
cnf(u130,axiom,
( ~ message(sent(t,a,triple(encrypt(quadruple(b,an_a_nonce,X0,X1),at),X2,X3)))
| message(sent(a,b,pair(X2,encrypt(X3,X0)))) ) ).
cnf(u191,axiom,
( ~ intruder_message(encrypt(triple(a,generate_b_nonce(X0),X1),bt))
| ~ intruder_message(X2)
| intruder_message(triple(encrypt(quadruple(b,generate_b_nonce(X0),generate_key(generate_b_nonce(X0)),X1),at),encrypt(triple(a,generate_key(generate_b_nonce(X0)),X1),bt),X2)) ) ).
cnf(u219,axiom,
( ~ intruder_message(encrypt(triple(b,X0,X1),at))
| ~ a_nonce(X0)
| ~ intruder_message(X2)
| intruder_message(triple(encrypt(quadruple(a,X0,generate_key(X0),X1),bt),encrypt(triple(b,generate_key(X0),X1),at),X2)) ) ).
cnf(u148,axiom,
( message(sent(t,b,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X0)))
| ~ message(sent(b,t,triple(b,X0,encrypt(triple(b,X1,X2),bt))))
| ~ a_nonce(X1) ) ).
cnf(u65,axiom,
party_of_protocol(b) ).
cnf(u189,axiom,
( ~ intruder_message(encrypt(triple(a,an_a_nonce,X0),bt))
| ~ intruder_message(X1)
| intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),X0),at),encrypt(triple(a,generate_key(an_a_nonce),X0),bt),X1)) ) ).
cnf(u217,axiom,
( ~ intruder_message(triple(a,X2,encrypt(triple(b,X0,X1),at)))
| intruder_message(triple(encrypt(quadruple(a,X0,generate_key(X0),X1),bt),encrypt(triple(b,generate_key(X0),X1),at),X2))
| ~ a_nonce(X0) ) ).
cnf(u71,axiom,
t_holds(key(bt,b)) ).
cnf(u73,axiom,
( ~ t_holds(key(X6,X2))
| ~ message(sent(X0,t,triple(X0,X1,encrypt(triple(X2,X3,X4),X5))))
| ~ t_holds(key(X5,X0))
| message(sent(t,X2,triple(encrypt(quadruple(X0,X3,generate_key(X3),X4),X6),encrypt(triple(X2,generate_key(X3),X4),X5),X1)))
| ~ a_nonce(X3) ) ).
cnf(u122,axiom,
intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))) ).
cnf(u166,axiom,
( ~ intruder_message(encrypt(triple(a,X0,X1),at))
| ~ a_nonce(X0)
| ~ intruder_message(X2)
| intruder_message(triple(encrypt(quadruple(a,X0,generate_key(X0),X1),at),encrypt(triple(a,generate_key(X0),X1),at),X2)) ) ).
cnf(u83,axiom,
( ~ intruder_message(quadruple(X0,X1,X2,X3))
| intruder_message(X0) ) ).
cnf(u168,axiom,
( ~ message(sent(b,t,triple(b,X0,encrypt(triple(a,an_a_nonce,X1),bt))))
| intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X0,generate_key(an_a_nonce)))) ) ).
cnf(u212,axiom,
( intruder_message(pair(X0,encrypt(X1,generate_key(an_a_nonce))))
| ~ intruder_message(X1)
| ~ intruder_message(X0) ) ).
cnf(u245,axiom,
( ~ intruder_message(encrypt(triple(b,X0,X1),bt))
| ~ a_nonce(X0)
| ~ intruder_message(X2)
| intruder_message(triple(encrypt(quadruple(b,X0,generate_key(X0),X1),bt),encrypt(triple(b,generate_key(X0),X1),bt),X2)) ) ).
cnf(u178,axiom,
intruder_message(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at)) ).
cnf(u93,axiom,
a_nonce(generate_b_nonce(X0)) ).
cnf(u68,axiom,
( ~ fresh_to_b(X1)
| ~ message(sent(X0,b,pair(X0,X1)))
| message(sent(b,t,triple(b,generate_b_nonce(X1),encrypt(triple(X0,X1,generate_expiration_time(X1)),bt)))) ) ).
cnf(u192,axiom,
( intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),X0))
| ~ intruder_message(X0) ) ).
cnf(u174,axiom,
intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),at),encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),generate_b_nonce(an_a_nonce))) ).
cnf(u91,axiom,
a_nonce(an_a_nonce) ).
cnf(u137,axiom,
( intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(X0,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))
| ~ party_of_protocol(X0)
| ~ intruder_message(X0) ) ).
cnf(u186,axiom,
intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce)))) ).
cnf(u147,axiom,
( message(sent(t,b,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X0)))
| ~ message(sent(a,t,triple(a,X0,encrypt(triple(b,X1,X2),at))))
| ~ a_nonce(X1) ) ).
cnf(u76,axiom,
( ~ intruder_message(pair(X0,X1))
| intruder_message(X0) ) ).
cnf(u86,axiom,
( intruder_message(quadruple(X0,X1,X2,X3))
| ~ intruder_message(X0)
| ~ intruder_message(X1)
| ~ intruder_message(X2)
| ~ intruder_message(X3) ) ).
cnf(u60,axiom,
message(sent(a,b,pair(a,an_a_nonce))) ).
cnf(u88,axiom,
( message(sent(X1,X2,X0))
| ~ intruder_message(X0)
| ~ party_of_protocol(X1)
| ~ party_of_protocol(X2) ) ).
cnf(u177,axiom,
message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))))) ).
cnf(u98,axiom,
intruder_message(pair(a,an_a_nonce)) ).
cnf(u101,axiom,
intruder_message(a) ).
cnf(u80,axiom,
( ~ intruder_message(quadruple(X0,X1,X2,X3))
| intruder_message(X3) ) ).
cnf(u84,axiom,
( intruder_message(pair(X0,X1))
| ~ intruder_message(X0)
| ~ intruder_message(X1) ) ).
cnf(u240,axiom,
intruder_message(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ).
cnf(u94,axiom,
a_nonce(generate_expiration_time(X0)) ).
cnf(u258,axiom,
( intruder_message(triple(encrypt(quadruple(b,an_a_nonce,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),X0))
| ~ intruder_message(X0) ) ).
cnf(u96,axiom,
a_key(generate_key(X0)) ).
cnf(u140,axiom,
( intruder_message(encrypt(triple(X0,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))
| ~ intruder_message(X0)
| ~ party_of_protocol(X0) ) ).
cnf(u185,axiom,
( message(sent(a,b,pair(X0,encrypt(X1,generate_key(an_a_nonce)))))
| ~ intruder_message(X0)
| ~ intruder_message(X1) ) ).
cnf(u150,axiom,
( ~ message(sent(b,t,triple(b,X0,encrypt(triple(b,X1,X2),bt))))
| ~ a_nonce(X1)
| intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),bt),X0)) ) ).
cnf(u124,axiom,
intruder_message(generate_b_nonce(an_a_nonce)) ).
cnf(u152,axiom,
( ~ message(sent(b,t,triple(b,X0,encrypt(triple(a,X1,X2),bt))))
| ~ a_nonce(X1)
| intruder_message(triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X0)) ) ).
cnf(u85,axiom,
( intruder_message(triple(X0,X1,X2))
| ~ intruder_message(X0)
| ~ intruder_message(X1)
| ~ intruder_message(X2) ) ).
cnf(u241,axiom,
intruder_message(encrypt(triple(b,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ).
cnf(u95,axiom,
( ~ a_nonce(X0)
| ~ a_key(X0) ) ).
cnf(u97,axiom,
~ a_key(an_a_nonce) ).
cnf(u99,axiom,
intruder_message(an_a_nonce) ).
cnf(u266,axiom,
( intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),X0),bt),encrypt(X1,generate_key(an_a_nonce))))
| ~ intruder_message(triple(b,X1,encrypt(triple(a,an_a_nonce,X0),bt))) ) ).
cnf(u75,axiom,
( ~ intruder_message(pair(X0,X1))
| intruder_message(X1) ) ).
cnf(u204,axiom,
( message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(X0,generate_key(an_a_nonce)))))
| ~ intruder_message(X0) ) ).
cnf(u59,axiom,
party_of_protocol(a) ).
cnf(u103,axiom,
~ a_key(generate_expiration_time(X0)) ).
cnf(u188,axiom,
intruder_message(encrypt(generate_b_nonce(an_a_nonce),generate_key(an_a_nonce))) ).
cnf(u149,axiom,
( ~ message(sent(a,t,triple(a,X0,encrypt(triple(b,X1,X2),at))))
| ~ a_nonce(X1)
| intruder_message(triple(encrypt(quadruple(a,X1,generate_key(X1),X2),bt),encrypt(triple(b,generate_key(X1),X2),at),X0)) ) ).
cnf(u70,axiom,
t_holds(key(at,a)) ).
cnf(u72,axiom,
party_of_protocol(t) ).
cnf(u82,axiom,
( ~ intruder_message(quadruple(X0,X1,X2,X3))
| intruder_message(X1) ) ).
cnf(u175,axiom,
( ~ intruder_message(triple(b,X2,encrypt(triple(a,X0,X1),bt)))
| intruder_message(triple(encrypt(quadruple(b,X0,generate_key(X0),X1),at),encrypt(triple(a,generate_key(X0),X1),bt),X2))
| ~ a_nonce(X0) ) ).
cnf(u78,axiom,
( ~ intruder_message(triple(X0,X1,X2))
| intruder_message(X1) ) ).
cnf(u123,axiom,
intruder_message(b) ).
cnf(u74,axiom,
( ~ message(sent(X0,X1,X2))
| intruder_message(X2) ) ).
cnf(u90,axiom,
( ~ intruder_holds(key(X1,X2))
| ~ intruder_message(X0)
| intruder_message(encrypt(X0,X1))
| ~ party_of_protocol(X2) ) ).
cnf(u134,axiom,
( ~ intruder_message(pair(X0,an_a_nonce))
| ~ party_of_protocol(X0)
| intruder_message(triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(X0,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))) ) ).
cnf(u179,axiom,
intruder_message(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt)) ).
cnf(u118,axiom,
message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))) ).
cnf(u146,axiom,
( ~ message(sent(a,t,triple(a,X0,encrypt(triple(a,X1,X2),at))))
| ~ a_nonce(X1)
| intruder_message(triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X0)) ) ).
cnf(u79,axiom,
( ~ intruder_message(triple(X0,X1,X2))
| intruder_message(X0) ) ).
cnf(u120,axiom,
( message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(X0,an_a_nonce,generate_expiration_time(an_a_nonce)),bt))))
| ~ intruder_message(pair(X0,an_a_nonce))
| ~ party_of_protocol(X0) ) ).
cnf(u164,axiom,
( ~ intruder_message(triple(a,X2,encrypt(triple(a,X0,X1),at)))
| intruder_message(triple(encrypt(quadruple(a,X0,generate_key(X0),X1),at),encrypt(triple(a,generate_key(X0),X1),at),X2))
| ~ a_nonce(X0) ) ).
cnf(u81,axiom,
( ~ intruder_message(quadruple(X0,X1,X2,X3))
| intruder_message(X2) ) ).
cnf(u267,axiom,
( ~ intruder_message(triple(b,X0,encrypt(triple(a,an_a_nonce,X1),bt)))
| intruder_message(encrypt(triple(a,generate_key(an_a_nonce),X1),bt)) ) ).
cnf(u63,axiom,
( ~ a_stored(pair(X4,X5))
| ~ message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0)))
| message(sent(a,X4,pair(X3,encrypt(X0,X2)))) ) ).
cnf(u268,axiom,
( ~ intruder_message(triple(b,X0,encrypt(triple(a,an_a_nonce,X1),bt)))
| intruder_message(encrypt(X0,generate_key(an_a_nonce))) ) ).
cnf(u121,axiom,
~ a_key(generate_b_nonce(X0)) ).
cnf(u142,axiom,
( ~ t_holds(key(X4,X0))
| ~ message(sent(X0,t,triple(X0,X1,encrypt(triple(a,X2,X3),X4))))
| message(sent(t,a,triple(encrypt(quadruple(X0,X2,generate_key(X2),X3),at),encrypt(triple(a,generate_key(X2),X3),X4),X1)))
| ~ a_nonce(X2) ) ).
cnf(u144,axiom,
( message(sent(t,a,triple(encrypt(quadruple(a,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),at),X0)))
| ~ message(sent(a,t,triple(a,X0,encrypt(triple(a,X1,X2),at))))
| ~ a_nonce(X1) ) ).
cnf(u77,axiom,
( ~ intruder_message(triple(X0,X1,X2))
| intruder_message(X2) ) ).
cnf(u225,axiom,
( ~ intruder_message(triple(b,X2,encrypt(triple(b,X0,X1),bt)))
| intruder_message(triple(encrypt(quadruple(b,X0,generate_key(X0),X1),bt),encrypt(triple(b,generate_key(X0),X1),bt),X2))
| ~ a_nonce(X0) ) ).
cnf(u61,axiom,
a_stored(pair(b,an_a_nonce)) ).
cnf(u89,axiom,
( intruder_holds(key(X0,X1))
| ~ intruder_message(X0)
| ~ party_of_protocol(X1) ) ).
cnf(u133,axiom,
( ~ intruder_message(triple(encrypt(quadruple(b,an_a_nonce,X2,X3),at),X0,X1))
| message(sent(a,b,pair(X0,encrypt(X1,X2)))) ) ).
cnf(u210,axiom,
( intruder_message(encrypt(X0,generate_key(an_a_nonce)))
| ~ intruder_message(X0) ) ).
cnf(u143,axiom,
( ~ t_holds(key(X4,X0))
| ~ message(sent(X0,t,triple(X0,X1,encrypt(triple(b,X2,X3),X4))))
| message(sent(t,b,triple(encrypt(quadruple(X0,X2,generate_key(X2),X3),bt),encrypt(triple(b,generate_key(X2),X3),X4),X1)))
| ~ a_nonce(X2) ) ).
cnf(u184,axiom,
( ~ a_nonce(X0)
| intruder_message(triple(encrypt(quadruple(b,X0,generate_key(X0),X1),at),encrypt(triple(a,generate_key(X0),X1),bt),X2))
| ~ intruder_message(X2)
| ~ intruder_message(encrypt(triple(a,X0,X1),bt)) ) ).
cnf(u117,axiom,
( ~ message(sent(X0,b,pair(X0,an_a_nonce)))
| message(sent(b,t,triple(b,generate_b_nonce(an_a_nonce),encrypt(triple(X0,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)))) ) ).
cnf(u145,axiom,
( message(sent(t,a,triple(encrypt(quadruple(b,X1,generate_key(X1),X2),at),encrypt(triple(a,generate_key(X1),X2),bt),X0)))
| ~ message(sent(b,t,triple(b,X0,encrypt(triple(a,X1,X2),bt))))
| ~ a_nonce(X1) ) ).
cnf(u66,axiom,
fresh_to_b(an_a_nonce) ).
cnf(u208,axiom,
( intruder_message(pair(encrypt(triple(a,generate_key(an_a_nonce),generate_expiration_time(an_a_nonce)),bt),encrypt(X0,generate_key(an_a_nonce))))
| ~ intruder_message(X0) ) ).
cnf(u141,axiom,
( ~ intruder_message(encrypt(quadruple(b,an_a_nonce,X2,X3),at))
| message(sent(a,b,pair(X0,encrypt(X1,X2))))
| ~ intruder_message(X0)
| ~ intruder_message(X1) ) ).
cnf(u190,axiom,
( ~ intruder_message(encrypt(triple(a,generate_expiration_time(X0),X1),bt))
| ~ intruder_message(X2)
| intruder_message(triple(encrypt(quadruple(b,generate_expiration_time(X0),generate_key(generate_expiration_time(X0)),X1),at),encrypt(triple(a,generate_key(generate_expiration_time(X0)),X1),bt),X2)) ) ).
cnf(u125,axiom,
intruder_message(encrypt(triple(a,an_a_nonce,generate_expiration_time(an_a_nonce)),bt)) ).
cnf(u153,axiom,
( message(sent(a,b,pair(encrypt(triple(a,generate_key(an_a_nonce),X1),bt),encrypt(X0,generate_key(an_a_nonce)))))
| ~ message(sent(b,t,triple(b,X0,encrypt(triple(a,an_a_nonce,X1),bt)))) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV015+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n002.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 09:45:22 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 3.90/1.29 % (238799)Detected formulas, will run a generic FOF schedule.
% 3.90/1.29 % (238805)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2925302003:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.90/1.29 % (238808)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3777690939:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.90/1.29 % (238808)Refutation not found, incomplete strategy
% 3.90/1.29 % (238808)------------------------------
% 3.90/1.29 % (238808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.29 % (238808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.29 % (238808)CaDiCaL version: 2.1.3
% 3.90/1.29 % (238808)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.29 % (238808)Time elapsed: 0.0000 s
% 3.90/1.29 % (238808)Peak memory usage: 86 MB
% 3.90/1.29 % (238806)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2570439623:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.90/1.30 % (238804)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=173107050:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.90/1.30 % (238807)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1629916338:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.90/1.30 % (238809)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3775997598:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.90/1.30 % (238807)Refutation not found, incomplete strategy
% 3.90/1.30 % (238807)------------------------------
% 3.90/1.30 % (238807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.30 % (238807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.30 % (238807)CaDiCaL version: 2.1.3
% 3.90/1.30 % (238807)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.30 % (238807)Time elapsed: 0.0000 s
% 3.90/1.30 % (238807)Peak memory usage: 86 MB
% 3.90/1.30 % (238810)dis-21_1_sil=8000:lcm=predicate:random_seed=936155112:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.90/1.30 % (238809)Refutation not found, incomplete strategy
% 3.90/1.30 % (238809)------------------------------
% 3.90/1.30 % (238809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.30 % (238809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.30 % (238809)CaDiCaL version: 2.1.3
% 3.90/1.30 % (238809)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.30 % (238809)Time elapsed: 0.009 s
% 3.90/1.30 % (238809)Peak memory usage: 88 MB
% 3.90/1.30 % (238809)Instructions burned: 11 (million)
% 3.90/1.30 % (238810)Instruction limit reached!
% 3.90/1.30 % (238810)------------------------------
% 3.90/1.30 % (238810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.30 % (238810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.30 % (238810)CaDiCaL version: 2.1.3
% 3.90/1.30 % (238810)Termination reason: Instruction limit
% 3.90/1.30 % (238810)Termination phase: Saturation
% 3.90/1.30 % (238810)Time elapsed: 0.064 s
% 3.90/1.30 % (238810)Peak memory usage: 89 MB
% 3.90/1.30 % (238810)Instructions burned: 131 (million)
% 3.90/1.30 % (238818)lrs+10_1_sil=8000:sp=occurrence:random_seed=3845321391:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.90/1.30 % (238818)Refutation not found, incomplete strategy
% 3.90/1.30 % (238818)------------------------------
% 3.90/1.30 % (238818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.30 % (238818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.30 % (238818)CaDiCaL version: 2.1.3
% 3.90/1.30 % (238818)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.30 % (238818)Time elapsed: 0.001 s
% 3.90/1.30 % (238818)Peak memory usage: 86 MB
% 3.90/1.30 % (238808)------------------------------
% 3.90/1.30 % (238808)------------------------------
% 3.90/1.30 % (238807)------------------------------
% 3.90/1.30 % (238807)------------------------------
% 3.90/1.30 % (238809)------------------------------
% 3.90/1.30 % (238809)------------------------------
% 3.90/1.30 % (238805)First to succeed.
% 3.90/1.30 % (238805)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-238799"
% 3.90/1.30 % (238820)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1685393924:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.90/1.30 % (238820)Refutation not found, incomplete strategy
% 3.90/1.30 % (238820)------------------------------
% 3.90/1.30 % (238820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.30 % (238820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.30 % (238820)CaDiCaL version: 2.1.3
% 3.90/1.30 % (238820)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.30 % (238820)Time elapsed: 0.001 s
% 3.90/1.30 % (238820)Peak memory usage: 87 MB
% 3.90/1.30 % (238821)lrs+1011_1_sil=32000:sp=occurrence:random_seed=599826856:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 3.90/1.30 % (238821)Refutation not found, incomplete strategy
% 3.90/1.30 % (238821)------------------------------
% 3.90/1.30 % (238821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.30 % (238821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.30 % (238821)CaDiCaL version: 2.1.3
% 3.90/1.30 % (238821)Termination reason: Refutation not found, incomplete strategy
% 3.90/1.30 % (238821)Time elapsed: 0.001 s
% 3.90/1.30 % (238821)Peak memory usage: 86 MB
% 3.90/1.30 % (238822)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1269857767:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.90/1.30 % (238818)------------------------------
% 3.90/1.30 % (238818)------------------------------
% 3.90/1.30 % SZS status Satisfiable for theBenchmark
% 3.90/1.30 % SZS output start Saturation.
% See solution above
% 5.13/1.49 % SZS output start Definitions and Model Updates.
% 5.13/1.49 for all groundings,
% 5.13/1.49 whenever ~a_nonce(generate_key(X0)) is false, set ~a_nonce(generate_key(X0)) to true
% 5.13/1.49 for all groundings,
% 5.13/1.49 whenever intruder_message(X1) | ~intruder_message(encrypt(X0,X1)) | ~intruder_holds(key(X1,X2)) | ~party_of_protocol(X2) is false, set ~intruder_holds(key(X1,X2)) to true
% 5.13/1.49 for all groundings,
% 5.13/1.49 whenever b_stored(pair(X0,X1)) | ~message(sent(X0,b,pair(X0,X1))) | ~fresh_to_b(X1) is false, set b_stored(pair(X0,X1)) to true
% 5.13/1.49 for all groundings,
% 5.13/1.49 whenever b_holds(key(X0,X1)) | ~message(sent(X1,b,pair(encrypt(triple(X1,X0,generate_expiration_time(X2)),bt),encrypt(generate_b_nonce(X2),X0)))) | ~a_key(X0) | ~b_stored(pair(X1,X2)) is false, set b_holds(key(X0,X1)) to true
% 5.13/1.49 for all groundings,
% 5.13/1.49 whenever b_holds(key(bt,t)) is false, set b_holds(key(bt,t)) to true
% 5.13/1.49 for all groundings,
% 5.13/1.49 whenever a_holds(key(X2,X4)) | ~message(sent(t,a,triple(encrypt(quadruple(X4,X5,X2,X1),at),X3,X0))) | ~a_stored(pair(X4,X5)) is false, set a_holds(key(X2,X4)) to true
% 5.13/1.49 for all groundings,
% 5.13/1.49 whenever a_holds(key(at,t)) is false, set a_holds(key(at,t)) to true
% 5.13/1.49 % SZS output end Definitions and Model Updates.
% 5.13/1.49 % (238805)------------------------------
% 5.13/1.49 % (238805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.13/1.49 % (238805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.13/1.49 % (238805)CaDiCaL version: 2.1.3
% 5.13/1.49 % (238805)Termination reason: Satisfiable
% 5.13/1.49 % (238805)Time elapsed: 0.378 s
% 5.13/1.49 % (238805)Peak memory usage: 131 MB
% 5.13/1.49 % (238805)Instructions burned: 1032 (million)
% 5.13/1.49 % (238805)------------------------------
% 5.13/1.49 % (238805)------------------------------
% 5.13/1.49 % (238799)Success in time 0.642 s
% 5.13/1.49 % Vampire exiting
%------------------------------------------------------------------------------