%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ133+3 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n020.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 12:32:33 PM UTC 2026
% Result : CounterSatisfiable 0.10s 0.47s
% Output : FiniteModel 0.10s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
tff('declare_$i1',type,
'fmb_$i_1': $i ).
tff('declare_$i2',type,
'fmb_$i_2': $i ).
tff('declare_$i3',type,
'fmb_$i_3': $i ).
tff('declare_$i4',type,
'fmb_$i_4': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' )
| ( X = 'fmb_$i_4' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_1' != 'fmb_$i_4' )
& ( 'fmb_$i_2' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_4' )
& ( 'fmb_$i_3' != 'fmb_$i_4' ) ) ).
tff(declare_n0,type,
n0: $i ).
tff(n0_definition,axiom,
n0 = 'fmb_$i_1' ).
tff(declare_n,type,
n: $i ).
tff(n_definition,axiom,
n = 'fmb_$i_2' ).
tff(declare_s,type,
s: $i > $i ).
tff(function_s,axiom,
( ( s('fmb_$i_1') = 'fmb_$i_3' )
& ( s('fmb_$i_2') = 'fmb_$i_4' )
& ( s('fmb_$i_3') = 'fmb_$i_2' )
& ( s('fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_p,type,
p: $i > $i ).
tff(function_p,axiom,
( ( p('fmb_$i_1') = 'fmb_$i_4' )
& ( p('fmb_$i_2') = 'fmb_$i_1' )
& ( p('fmb_$i_3') = 'fmb_$i_3' )
& ( p('fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_plus,type,
plus: ( $i * $i ) > $i ).
tff(function_plus,axiom,
( ( plus('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( plus('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( plus('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( plus('fmb_$i_1','fmb_$i_4') = 'fmb_$i_4' )
& ( plus('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( plus('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( plus('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( plus('fmb_$i_2','fmb_$i_4') = 'fmb_$i_3' )
& ( plus('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( plus('fmb_$i_3','fmb_$i_2') = 'fmb_$i_2' )
& ( plus('fmb_$i_3','fmb_$i_3') = 'fmb_$i_2' )
& ( plus('fmb_$i_3','fmb_$i_4') = 'fmb_$i_3' )
& ( plus('fmb_$i_4','fmb_$i_1') = 'fmb_$i_4' )
& ( plus('fmb_$i_4','fmb_$i_2') = 'fmb_$i_3' )
& ( plus('fmb_$i_4','fmb_$i_3') = 'fmb_$i_3' )
& ( plus('fmb_$i_4','fmb_$i_4') = 'fmb_$i_2' ) ) ).
tff(declare_minus,type,
minus: ( $i * $i ) > $i ).
tff(function_minus,axiom,
( ( minus('fmb_$i_1','fmb_$i_1') = 'fmb_$i_4' )
& ( minus('fmb_$i_1','fmb_$i_2') = 'fmb_$i_3' )
& ( minus('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( minus('fmb_$i_1','fmb_$i_4') = 'fmb_$i_1' )
& ( minus('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( minus('fmb_$i_2','fmb_$i_2') = 'fmb_$i_4' )
& ( minus('fmb_$i_2','fmb_$i_3') = 'fmb_$i_4' )
& ( minus('fmb_$i_2','fmb_$i_4') = 'fmb_$i_2' )
& ( minus('fmb_$i_3','fmb_$i_1') = 'fmb_$i_3' )
& ( minus('fmb_$i_3','fmb_$i_2') = 'fmb_$i_4' )
& ( minus('fmb_$i_3','fmb_$i_3') = 'fmb_$i_4' )
& ( minus('fmb_$i_3','fmb_$i_4') = 'fmb_$i_2' )
& ( minus('fmb_$i_4','fmb_$i_1') = 'fmb_$i_1' )
& ( minus('fmb_$i_4','fmb_$i_2') = 'fmb_$i_2' )
& ( minus('fmb_$i_4','fmb_$i_3') = 'fmb_$i_2' )
& ( minus('fmb_$i_4','fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_perm,type,
perm: $i > $i ).
tff(function_perm,axiom,
( ( perm('fmb_$i_1') = 'fmb_$i_1' )
& ( perm('fmb_$i_2') = 'fmb_$i_2' )
& ( perm('fmb_$i_3') = 'fmb_$i_2' )
& ( perm('fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_q,type,
q: $i > $i ).
tff(function_q,axiom,
( ( q('fmb_$i_1') = 'fmb_$i_4' )
& ( q('fmb_$i_2') = 'fmb_$i_1' )
& ( q('fmb_$i_3') = 'fmb_$i_1' )
& ( q('fmb_$i_4') = 'fmb_$i_4' ) ) ).
tff(declare_queens_p,type,
queens_p: $o ).
tff(queens_p_definition,axiom,
queens_p ).
tff(declare_queens_q,type,
queens_q: $o ).
tff(queens_q_definition,axiom,
~ queens_q ).
tff(declare_le,type,
le: ( $i * $i ) > $o ).
tff(predicate_le,axiom,
( le('fmb_$i_1','fmb_$i_1')
& le('fmb_$i_1','fmb_$i_2')
& le('fmb_$i_1','fmb_$i_3')
& le('fmb_$i_1','fmb_$i_4')
& ~ le('fmb_$i_2','fmb_$i_1')
& le('fmb_$i_2','fmb_$i_2')
& ~ le('fmb_$i_2','fmb_$i_3')
& le('fmb_$i_2','fmb_$i_4')
& ~ le('fmb_$i_3','fmb_$i_1')
& le('fmb_$i_3','fmb_$i_2')
& le('fmb_$i_3','fmb_$i_3')
& le('fmb_$i_3','fmb_$i_4')
& ~ le('fmb_$i_4','fmb_$i_1')
& ~ le('fmb_$i_4','fmb_$i_2')
& ~ le('fmb_$i_4','fmb_$i_3')
& le('fmb_$i_4','fmb_$i_4') ) ).
tff(declare_lt,type,
lt: ( $i * $i ) > $o ).
tff(predicate_lt,axiom,
( lt('fmb_$i_1','fmb_$i_1')
& lt('fmb_$i_1','fmb_$i_2')
& lt('fmb_$i_1','fmb_$i_3')
& lt('fmb_$i_1','fmb_$i_4')
& lt('fmb_$i_2','fmb_$i_1')
& lt('fmb_$i_2','fmb_$i_2')
& lt('fmb_$i_2','fmb_$i_3')
& lt('fmb_$i_2','fmb_$i_4')
& lt('fmb_$i_3','fmb_$i_1')
& lt('fmb_$i_3','fmb_$i_2')
& lt('fmb_$i_3','fmb_$i_3')
& lt('fmb_$i_3','fmb_$i_4')
& lt('fmb_$i_4','fmb_$i_1')
& lt('fmb_$i_4','fmb_$i_2')
& lt('fmb_$i_4','fmb_$i_3')
& lt('fmb_$i_4','fmb_$i_4') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ133+3 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:46:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.47 % (3842283)Will run a generic schedule for satisfiability detection.
% 0.10/0.47 % (3842288)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1418174848_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.47 % TRYING [1]
% 0.10/0.47 % TRYING [2]
% 0.10/0.47 % TRYING [3]
% 0.10/0.47 % (3842289)% WARNING: option uhcvi not known.
% 0.10/0.47 % TRYING [4]
% 0.10/0.47 % (3842289)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2069051519:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.47 % (3842290)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3020688994:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.47 % (3842291)dis+10_1_sil=32000:sp=arity:random_seed=2200642514:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.47 % (3842292)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1877270357:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.47 % (3842294)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2408650296:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.47 % (3842293)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=85516328:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.47 % Finite Model Found!
% 0.10/0.47 % SZS status CounterSatisfiable for theBenchmark
% 0.10/0.47 % (3842288) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3842283-3842288"...
% 0.10/0.47 % (3842288)...printing done.
% 0.10/0.47 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.10/0.47 % (3842288)------------------------------
% 0.10/0.47 % (3842288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.47 % (3842288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.47 % (3842288)CaDiCaL version: 2.1.3
% 0.10/0.47 % (3842288)Termination reason: Satisfiable
% 0.10/0.47 % (3842288)Time elapsed: 0.024 s
% 0.10/0.47 % (3842288)Peak memory usage: 14 MB
% 0.10/0.47 % (3842288)Instructions burned: 88 (million)
% 0.10/0.47 % (3842283)Success in time 0.063 s
% 0.10/0.47 % Vampire exiting
%------------------------------------------------------------------------------