%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT038-2 : 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 : n019.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 12:02:39 PM UTC 2026
% Result : Satisfiable 0.17s 0.47s
% Output : FiniteModel 0.17s
% 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_first_movers,type,
first_movers: $i ).
tff(first_movers_definition,axiom,
first_movers = 'fmb_$i_1' ).
tff(declare_s,type,
s: $i ).
tff(s_definition,axiom,
s = 'fmb_$i_2' ).
tff(declare_t2,type,
t2: $i ).
tff(t2_definition,axiom,
t2 = 'fmb_$i_1' ).
tff(declare_zero,type,
zero: $i ).
tff(zero_definition,axiom,
zero = 'fmb_$i_1' ).
tff(declare_efficient_producers,type,
efficient_producers: $i ).
tff(efficient_producers_definition,axiom,
efficient_producers = 'fmb_$i_2' ).
tff(declare_e,type,
e: $i ).
tff(e_definition,axiom,
e = 'fmb_$i_1' ).
tff(declare_sk7,type,
sk7: $i ).
tff(sk7_definition,axiom,
sk7 = 'fmb_$i_2' ).
tff(declare_to,type,
to: $i ).
tff(to_definition,axiom,
to = 'fmb_$i_2' ).
tff(declare_sk1,type,
sk1: ( $i * $i ) > $i ).
tff(function_sk1,axiom,
( ( sk1('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( sk1('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( sk1('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( sk1('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_cardinality_at_time,type,
cardinality_at_time: ( $i * $i ) > $i ).
tff(function_cardinality_at_time,axiom,
( ( cardinality_at_time('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( cardinality_at_time('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( cardinality_at_time('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( cardinality_at_time('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_sk2,type,
sk2: ( $i * $i ) > $i ).
tff(function_sk2,axiom,
( ( sk2('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( sk2('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( sk2('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( sk2('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_growth_rate,type,
growth_rate: ( $i * $i ) > $i ).
tff(function_growth_rate,axiom,
( ( growth_rate('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( growth_rate('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( growth_rate('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( growth_rate('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_appear,type,
appear: ( $i * $i ) > $i ).
tff(function_appear,axiom,
( ( appear('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( appear('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( appear('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( appear('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_sk3,type,
sk3: ( $i * $i ) > $i ).
tff(function_sk3,axiom,
( ( sk3('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( sk3('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( sk3('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( sk3('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_sk4,type,
sk4: $i > $i ).
tff(function_sk4,axiom,
( ( sk4('fmb_$i_1') = 'fmb_$i_2' )
& ( sk4('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_sk5,type,
sk5: $i > $i ).
tff(function_sk5,axiom,
( ( sk5('fmb_$i_1') = 'fmb_$i_2' )
& ( sk5('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_equilibrium,type,
equilibrium: $i > $i ).
tff(function_equilibrium,axiom,
( ( equilibrium('fmb_$i_1') = 'fmb_$i_2' )
& ( equilibrium('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_sk6,type,
sk6: $i > $i ).
tff(function_sk6,axiom,
( ( sk6('fmb_$i_1') = 'fmb_$i_2' )
& ( sk6('fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_finite_set,type,
finite_set: $i > $o ).
tff(predicate_finite_set,axiom,
( finite_set('fmb_$i_1')
& finite_set('fmb_$i_2') ) ).
tff(declare_contracts_from,type,
contracts_from: ( $i * $i ) > $o ).
tff(predicate_contracts_from,axiom,
( ~ contracts_from('fmb_$i_1','fmb_$i_1')
& ~ contracts_from('fmb_$i_1','fmb_$i_2')
& ~ contracts_from('fmb_$i_2','fmb_$i_1')
& ~ contracts_from('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_greater,type,
greater: ( $i * $i ) > $o ).
tff(predicate_greater,axiom,
( greater('fmb_$i_1','fmb_$i_1')
& ~ greater('fmb_$i_1','fmb_$i_2')
& greater('fmb_$i_2','fmb_$i_1')
& greater('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_environment,type,
environment: $i > $o ).
tff(predicate_environment,axiom,
( environment('fmb_$i_1')
& environment('fmb_$i_2') ) ).
tff(declare_stable,type,
stable: $i > $o ).
tff(predicate_stable,axiom,
( ~ stable('fmb_$i_1')
& stable('fmb_$i_2') ) ).
tff(declare_in_environment,type,
in_environment: ( $i * $i ) > $o ).
tff(predicate_in_environment,axiom,
( in_environment('fmb_$i_1','fmb_$i_1')
& in_environment('fmb_$i_1','fmb_$i_2')
& in_environment('fmb_$i_2','fmb_$i_1')
& in_environment('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_greater_or_equal,type,
greater_or_equal: ( $i * $i ) > $o ).
tff(predicate_greater_or_equal,axiom,
( greater_or_equal('fmb_$i_1','fmb_$i_1')
& ~ greater_or_equal('fmb_$i_1','fmb_$i_2')
& greater_or_equal('fmb_$i_2','fmb_$i_1')
& greater_or_equal('fmb_$i_2','fmb_$i_2') ) ).
tff(declare_subpopulations,type,
subpopulations: ( $i * $i * $i * $i ) > $o ).
tff(predicate_subpopulations,axiom,
( ~ subpopulations('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ subpopulations('fmb_$i_1','fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ subpopulations('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ subpopulations('fmb_$i_1','fmb_$i_1','fmb_$i_2','fmb_$i_2')
& subpopulations('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_1')
& subpopulations('fmb_$i_1','fmb_$i_2','fmb_$i_1','fmb_$i_2')
& subpopulations('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_1')
& subpopulations('fmb_$i_1','fmb_$i_2','fmb_$i_2','fmb_$i_2')
& ~ subpopulations('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_1')
& ~ subpopulations('fmb_$i_2','fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ subpopulations('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_1')
& ~ subpopulations('fmb_$i_2','fmb_$i_1','fmb_$i_2','fmb_$i_2')
& ~ subpopulations('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_1')
& ~ subpopulations('fmb_$i_2','fmb_$i_2','fmb_$i_1','fmb_$i_2')
& ~ subpopulations('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_1')
& ~ subpopulations('fmb_$i_2','fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT038-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n019.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:24:03 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.17/0.47 % (3290740)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3290756)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1129896957:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (3290753)% WARNING: option uhcvi not known.
% 0.17/0.47 % (3290752)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3323435399_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (3290758)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3968635601:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (3290753)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2581338729:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (3290754)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2647517074:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (3290755)dis+10_1_sil=32000:sp=arity:random_seed=3542035054:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3290757)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1025974278:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % Finite Model Found!
% 0.17/0.47 % SZS status Satisfiable for theBenchmark
% 0.17/0.47 % (3290752) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3290740-3290752"...
% 0.17/0.47 % (3290752)...printing done.
% 0.17/0.47 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.17/0.47 % (3290752)------------------------------
% 0.17/0.47 % (3290752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (3290752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (3290752)CaDiCaL version: 2.1.3
% 0.17/0.47 % (3290752)Termination reason: Satisfiable
% 0.17/0.47 % (3290752)Time elapsed: 0.007 s
% 0.17/0.47 % (3290752)Peak memory usage: 12 MB
% 0.17/0.47 % (3290752)Instructions burned: 12 (million)
% 0.17/0.47 % (3290740)Success in time 0.045 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------