%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ058-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:32:06 PM UTC 2026
% Result : Satisfiable 0.36s 0.52s
% Output : FiniteModel 0.36s
% 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': $i ).
tff('finite_domain_$i',axiom,
! [X: $i] :
( ( X = 'fmb_$i_1' )
| ( X = 'fmb_$i_2' )
| ( X = 'fmb_$i_3' ) ) ).
tff('distinct_domain_$i',axiom,
( ( 'fmb_$i_1' != 'fmb_$i_2' )
& ( 'fmb_$i_1' != 'fmb_$i_3' )
& ( 'fmb_$i_2' != 'fmb_$i_3' ) ) ).
tff(declare_small,type,
small: $i ).
tff(small_definition,axiom,
small = 'fmb_$i_1' ).
tff(declare_medium,type,
medium: $i ).
tff(medium_definition,axiom,
medium = 'fmb_$i_2' ).
tff(declare_large,type,
large: $i ).
tff(large_definition,axiom,
large = 'fmb_$i_3' ).
tff(declare_n1,type,
n1: $i ).
tff(n1_definition,axiom,
n1 = 'fmb_$i_3' ).
tff(declare_n2,type,
n2: $i ).
tff(n2_definition,axiom,
n2 = 'fmb_$i_3' ).
tff(declare_n3,type,
n3: $i ).
tff(n3_definition,axiom,
n3 = 'fmb_$i_2' ).
tff(declare_pin,type,
pin: $i > $i ).
tff(function_pin,axiom,
( ( pin('fmb_$i_1') = 'fmb_$i_3' )
& ( pin('fmb_$i_2') = 'fmb_$i_1' )
& ( pin('fmb_$i_3') = 'fmb_$i_2' ) ) ).
tff(declare_on,type,
on: ( $i * $i ) > $i ).
tff(function_on,axiom,
( ( on('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( on('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( on('fmb_$i_1','fmb_$i_3') = 'fmb_$i_3' )
& ( on('fmb_$i_2','fmb_$i_1') = 'fmb_$i_3' )
& ( on('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( on('fmb_$i_2','fmb_$i_3') = 'fmb_$i_2' )
& ( on('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( on('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( on('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_nextto,type,
nextto: ( $i * $i ) > $i ).
tff(function_nextto,axiom,
( ( nextto('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( nextto('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( nextto('fmb_$i_1','fmb_$i_3') = 'fmb_$i_1' )
& ( nextto('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( nextto('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' )
& ( nextto('fmb_$i_2','fmb_$i_3') = 'fmb_$i_3' )
& ( nextto('fmb_$i_3','fmb_$i_1') = 'fmb_$i_1' )
& ( nextto('fmb_$i_3','fmb_$i_2') = 'fmb_$i_3' )
& ( nextto('fmb_$i_3','fmb_$i_3') = 'fmb_$i_1' ) ) ).
tff(declare_state,type,
state: $i > $o ).
tff(predicate_state,axiom,
( state('fmb_$i_1')
& state('fmb_$i_2')
& ~ state('fmb_$i_3') ) ).
tff(declare_fits,type,
fits: ( $i * $i ) > $o ).
tff(predicate_fits,axiom,
( fits('fmb_$i_1','fmb_$i_1')
& fits('fmb_$i_1','fmb_$i_2')
& fits('fmb_$i_1','fmb_$i_3')
& fits('fmb_$i_2','fmb_$i_1')
& ~ fits('fmb_$i_2','fmb_$i_2')
& fits('fmb_$i_2','fmb_$i_3')
& fits('fmb_$i_3','fmb_$i_1')
& fits('fmb_$i_3','fmb_$i_2')
& fits('fmb_$i_3','fmb_$i_3') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ058-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n015.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 22:41:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.36/0.52 % (2085803)Will run a generic schedule for satisfiability detection.
% 0.36/0.52 % (2085813)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3981588932:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.52 % (2085808)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=228056573_2999 on theBenchmark for (2999ds/0Mi)
% 0.36/0.52 % (2085810)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2069026264:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.36/0.52 % (2085811)dis+10_1_sil=32000:sp=arity:random_seed=3317480936:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.36/0.52 % (2085812)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=991369515:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.36/0.52 % (2085814)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2037931385:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.36/0.52 % (2085809)% WARNING: option uhcvi not known.
% 0.36/0.52 % TRYING [1]
% 0.36/0.52 % TRYING [2]
% 0.36/0.52 % (2085809)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3587534448:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.36/0.52 % TRYING [3]
% 0.36/0.52 % (2085813)Instruction limit reached!
% 0.36/0.52 % (2085813)------------------------------
% 0.36/0.52 % (2085813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.52 % (2085813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.52 % (2085813)CaDiCaL version: 2.1.3
% 0.36/0.52 % (2085813)Termination reason: Instruction limit
% 0.36/0.52 % (2085813)Termination phase: Saturation
% 0.36/0.52 % (2085813)Time elapsed: 0.033 s
% 0.36/0.52 % (2085813)Peak memory usage: 11 MB
% 0.36/0.52 % (2085813)Instructions burned: 132 (million)
% 0.36/0.52 % (2085822)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1864667646:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.36/0.52 % TRYING [1]
% 0.36/0.52 % TRYING [2]
% 0.36/0.52 % TRYING [3]
% 0.36/0.52 % (2085811)Instruction limit reached!
% 0.36/0.52 % (2085811)------------------------------
% 0.36/0.52 % (2085811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.52 % (2085811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.52 % (2085811)CaDiCaL version: 2.1.3
% 0.36/0.52 % (2085811)Termination reason: Instruction limit
% 0.36/0.52 % (2085811)Termination phase: Saturation
% 0.36/0.52 % (2085811)Time elapsed: 0.052 s
% 0.36/0.52 % (2085811)Peak memory usage: 13 MB
% 0.36/0.52 % (2085811)Instructions burned: 105 (million)
% 0.36/0.52 % (2085812)Instruction limit reached!
% 0.36/0.52 % (2085812)------------------------------
% 0.36/0.52 % (2085812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.52 % (2085812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.52 % (2085812)CaDiCaL version: 2.1.3
% 0.36/0.52 % (2085812)Termination reason: Instruction limit
% 0.36/0.52 % (2085812)Termination phase: Saturation
% 0.36/0.52 % (2085812)Time elapsed: 0.053 s
% 0.36/0.52 % (2085812)Peak memory usage: 11 MB
% 0.36/0.52 % (2085812)Instructions burned: 117 (million)
% 0.36/0.52 % (2085824)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=513331928:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.36/0.52 % (2085825)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=509248640:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.36/0.52 % Finite Model Found!
% 0.36/0.52 % SZS status Satisfiable for theBenchmark
% 0.36/0.52 % (2085822) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2085803-2085822"...
% 0.36/0.52 % (2085822)...printing done.
% 0.36/0.52 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.36/0.52 % (2085822)------------------------------
% 0.36/0.52 % (2085822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.36/0.52 % (2085822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.36/0.52 % (2085822)CaDiCaL version: 2.1.3
% 0.36/0.52 % (2085822)Termination reason: Satisfiable
% 0.36/0.52 % (2085822)Time elapsed: 0.036 s
% 0.36/0.52 % (2085822)Peak memory usage: 11 MB
% 0.36/0.52 % (2085822)Instructions burned: 114 (million)
% 0.36/0.52 % (2085803)Success in time 0.104 s
% 0.36/0.52 % Vampire exiting
%------------------------------------------------------------------------------