%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ001-3 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:31:47 PM UTC 2026
% Result : Satisfiable 0.14s 0.44s
% Output : FiniteModel 0.14s
% 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_agatha,type,
agatha: $i ).
tff(agatha_definition,axiom,
agatha = 'fmb_$i_1' ).
tff(declare_butler,type,
butler: $i ).
tff(butler_definition,axiom,
butler = 'fmb_$i_2' ).
tff(declare_charles,type,
charles: $i ).
tff(charles_definition,axiom,
charles = 'fmb_$i_3' ).
tff(declare_lives,type,
lives: $i > $o ).
tff(predicate_lives,axiom,
( lives('fmb_$i_1')
& lives('fmb_$i_2')
& lives('fmb_$i_3') ) ).
tff(declare_killed,type,
killed: ( $i * $i ) > $o ).
tff(predicate_killed,axiom,
( killed('fmb_$i_1','fmb_$i_1')
& ~ killed('fmb_$i_1','fmb_$i_2')
& killed('fmb_$i_1','fmb_$i_3')
& ~ killed('fmb_$i_2','fmb_$i_1')
& ~ killed('fmb_$i_2','fmb_$i_2')
& killed('fmb_$i_2','fmb_$i_3')
& ~ killed('fmb_$i_3','fmb_$i_1')
& killed('fmb_$i_3','fmb_$i_2')
& ~ killed('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_richer,type,
richer: ( $i * $i ) > $o ).
tff(predicate_richer,axiom,
( ~ richer('fmb_$i_1','fmb_$i_1')
& richer('fmb_$i_1','fmb_$i_2')
& ~ richer('fmb_$i_1','fmb_$i_3')
& richer('fmb_$i_2','fmb_$i_1')
& richer('fmb_$i_2','fmb_$i_2')
& ~ richer('fmb_$i_2','fmb_$i_3')
& richer('fmb_$i_3','fmb_$i_1')
& ~ richer('fmb_$i_3','fmb_$i_2')
& richer('fmb_$i_3','fmb_$i_3') ) ).
tff(declare_hates,type,
hates: ( $i * $i ) > $o ).
tff(predicate_hates,axiom,
( hates('fmb_$i_1','fmb_$i_1')
& ~ hates('fmb_$i_1','fmb_$i_2')
& hates('fmb_$i_1','fmb_$i_3')
& hates('fmb_$i_2','fmb_$i_1')
& ~ hates('fmb_$i_2','fmb_$i_2')
& hates('fmb_$i_2','fmb_$i_3')
& ~ hates('fmb_$i_3','fmb_$i_1')
& hates('fmb_$i_3','fmb_$i_2')
& ~ hates('fmb_$i_3','fmb_$i_3') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ001-3 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n003.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:30:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.40 Running first-order model finding
% 0.14/0.40 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
% 0.14/0.44 % (980375)Will run a generic schedule for satisfiability detection.
% 0.14/0.44 % (980380)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1215430325_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.44 % Detected minimum model sizes of [1]
% 0.14/0.44 % Detected maximum model sizes of [3]
% 0.14/0.44 % TRYING [1]
% 0.14/0.44 % TRYING [2]
% 0.14/0.44 % TRYING [3]
% 0.14/0.44 % Finite Model Found!
% 0.14/0.44 % SZS status Satisfiable for theBenchmark
% 0.14/0.44 % (980380) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-980375-980380"...
% 0.14/0.44 % (980380)...printing done.
% 0.14/0.44 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.14/0.44 % (980380)------------------------------
% 0.14/0.44 % (980380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.44 % (980380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.44 % (980380)CaDiCaL version: 2.1.3
% 0.14/0.44 % (980380)Termination reason: Satisfiable
% 0.14/0.44 % (980380)Time elapsed: 0.001 s
% 0.14/0.44 % (980380)Peak memory usage: 11 MB
% 0.14/0.44 % (980380)Instructions burned: 2 (million)
% 0.14/0.44 % (980375)Success in time 0.027 s
% 0.14/0.44 % Vampire exiting
%------------------------------------------------------------------------------