%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV018-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 01:20:00 PM UTC 2026
% Result : Satisfiable 0.21s 0.27s
% Output : FiniteModel 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' ) ) ).
tff('distinct_domain_$i',axiom,
'fmb_$i_1' != 'fmb_$i_2' ).
tff(declare_a,type,
a: $i ).
tff(a_definition,axiom,
a = 'fmb_$i_1' ).
tff(declare_b,type,
b: $i ).
tff(b_definition,axiom,
b = 'fmb_$i_1' ).
tff(declare_an_a_nonce,type,
an_a_nonce: $i ).
tff(an_a_nonce_definition,axiom,
an_a_nonce = 'fmb_$i_1' ).
tff(declare_t,type,
t: $i ).
tff(t_definition,axiom,
t = 'fmb_$i_2' ).
tff(declare_at,type,
at: $i ).
tff(at_definition,axiom,
at = 'fmb_$i_2' ).
tff(declare_bt,type,
bt: $i ).
tff(bt_definition,axiom,
bt = 'fmb_$i_2' ).
tff(declare_an_intruder_nonce,type,
an_intruder_nonce: $i ).
tff(an_intruder_nonce_definition,axiom,
an_intruder_nonce = 'fmb_$i_1' ).
tff(declare_pair,type,
pair: ( $i * $i ) > $i ).
tff(function_pair,axiom,
( ( pair('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( pair('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( pair('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( pair('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_sent,type,
sent: ( $i * $i * $i ) > $i ).
tff(function_sent,axiom,
( ( sent('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( sent('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( sent('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( sent('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( sent('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( sent('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( sent('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( sent('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_encrypt,type,
encrypt: ( $i * $i ) > $i ).
tff(function_encrypt,axiom,
( ( encrypt('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( encrypt('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( encrypt('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( encrypt('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_quadruple,type,
quadruple: ( $i * $i * $i * $i ) > $i ).
tff(function_quadruple,axiom,
( ( quadruple('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( quadruple('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( quadruple('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_triple,type,
triple: ( $i * $i * $i ) > $i ).
tff(function_triple,axiom,
( ( triple('fmb_$i_1','fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( triple('fmb_$i_1','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( triple('fmb_$i_1','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( triple('fmb_$i_1','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( triple('fmb_$i_2','fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( triple('fmb_$i_2','fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( triple('fmb_$i_2','fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( triple('fmb_$i_2','fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_key,type,
key: ( $i * $i ) > $i ).
tff(function_key,axiom,
( ( key('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( key('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( key('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( key('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_generate_b_nonce,type,
generate_b_nonce: $i > $i ).
tff(function_generate_b_nonce,axiom,
( ( generate_b_nonce('fmb_$i_1') = 'fmb_$i_1' )
& ( generate_b_nonce('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_generate_expiration_time,type,
generate_expiration_time: $i > $i ).
tff(function_generate_expiration_time,axiom,
( ( generate_expiration_time('fmb_$i_1') = 'fmb_$i_1' )
& ( generate_expiration_time('fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_generate_key,type,
generate_key: $i > $i ).
tff(function_generate_key,axiom,
( ( generate_key('fmb_$i_1') = 'fmb_$i_2' )
& ( generate_key('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_generate_intruder_nonce,type,
generate_intruder_nonce: $i > $i ).
tff(function_generate_intruder_nonce,axiom,
( ( generate_intruder_nonce('fmb_$i_1') = 'fmb_$i_1' )
& ( generate_intruder_nonce('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_party_of_protocol,type,
party_of_protocol: $i > $o ).
tff(predicate_party_of_protocol,axiom,
( party_of_protocol('fmb_$i_1')
& party_of_protocol('fmb_$i_2') ) ).
tff(declare_message,type,
message: $i > $o ).
tff(predicate_message,axiom,
( message('fmb_$i_1')
& ~ message('fmb_$i_2') ) ).
tff(declare_a_stored,type,
a_stored: $i > $o ).
tff(predicate_a_stored,axiom,
( a_stored('fmb_$i_1')
& a_stored('fmb_$i_2') ) ).
tff(declare_b_holds,type,
b_holds: $i > $o ).
tff(predicate_b_holds,axiom,
( b_holds('fmb_$i_1')
& ~ b_holds('fmb_$i_2') ) ).
tff(declare_fresh_to_b,type,
fresh_to_b: $i > $o ).
tff(predicate_fresh_to_b,axiom,
( fresh_to_b('fmb_$i_1')
& fresh_to_b('fmb_$i_2') ) ).
tff(declare_b_stored,type,
b_stored: $i > $o ).
tff(predicate_b_stored,axiom,
( b_stored('fmb_$i_1')
& b_stored('fmb_$i_2') ) ).
tff(declare_a_key,type,
a_key: $i > $o ).
tff(predicate_a_key,axiom,
( ~ a_key('fmb_$i_1')
& a_key('fmb_$i_2') ) ).
tff(declare_t_holds,type,
t_holds: $i > $o ).
tff(predicate_t_holds,axiom,
( t_holds('fmb_$i_1')
& ~ t_holds('fmb_$i_2') ) ).
tff(declare_a_nonce,type,
a_nonce: $i > $o ).
tff(predicate_a_nonce,axiom,
( a_nonce('fmb_$i_1')
& ~ a_nonce('fmb_$i_2') ) ).
tff(declare_intruder_message,type,
intruder_message: $i > $o ).
tff(predicate_intruder_message,axiom,
( intruder_message('fmb_$i_1')
& ~ intruder_message('fmb_$i_2') ) ).
tff(declare_intruder_holds,type,
intruder_holds: $i > $o ).
tff(predicate_intruder_holds,axiom,
( ~ intruder_holds('fmb_$i_1')
& intruder_holds('fmb_$i_2') ) ).
tff(declare_fresh_intruder_nonce,type,
fresh_intruder_nonce: $i > $o ).
tff(predicate_fresh_intruder_nonce,axiom,
( fresh_intruder_nonce('fmb_$i_1')
& ~ fresh_intruder_nonce('fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV018-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n008.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 09:44:09 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 Running first-order model finding
% 0.10/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.27 % (2138272)Will run a generic schedule for satisfiability detection.
% 0.21/0.27 % (2138285)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3382756356:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.27 % (2138282)% WARNING: option uhcvi not known.
% 0.21/0.27 % (2138281)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1687155632_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.27 % (2138284)dis+10_1_sil=32000:sp=arity:random_seed=2173284110:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.27 % (2138282)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1491825888:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.27 % (2138283)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1971404758:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.27 % (2138286)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3664867799:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.27 % (2138287)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3441706713:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.27 % TRYING [1]
% 0.21/0.27 % TRYING [2]
% 0.21/0.27 % Finite Model Found!
% 0.21/0.27 % SZS status Satisfiable for theBenchmark
% 0.21/0.27 % (2138281) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2138272-2138281"...
% 0.21/0.27 % (2138281)...printing done.
% 0.21/0.27 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.21/0.27 % (2138281)------------------------------
% 0.21/0.27 % (2138281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.27 % (2138281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.27 % (2138281)CaDiCaL version: 2.1.3
% 0.21/0.27 % (2138281)Termination reason: Satisfiable
% 0.21/0.27 % (2138281)Time elapsed: 0.009 s
% 0.21/0.27 % (2138281)Peak memory usage: 12 MB
% 0.21/0.27 % (2138281)Instructions burned: 16 (million)
% 0.21/0.27 % (2138272)Success in time 0.034 s
% 0.21/0.27 % Vampire exiting
%------------------------------------------------------------------------------