%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT034+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 12:02:36 PM UTC 2026
% Result : CounterSatisfiable 0.15s 0.47s
% Output : FiniteModel 0.15s
% 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_efficient_producers,type,
efficient_producers: $i ).
tff(efficient_producers_definition,axiom,
efficient_producers = 'fmb_$i_2' ).
tff(declare_zero,type,
zero: $i ).
tff(zero_definition,axiom,
zero = 'fmb_$i_1' ).
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_1' ) ) ).
tff(declare_disbanding_rate,type,
disbanding_rate: ( $i * $i ) > $i ).
tff(function_disbanding_rate,axiom,
( ( disbanding_rate('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( disbanding_rate('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( disbanding_rate('fmb_$i_2','fmb_$i_1') = 'fmb_$i_1' )
& ( disbanding_rate('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_difference,type,
difference: ( $i * $i ) > $i ).
tff(function_difference,axiom,
( ( difference('fmb_$i_1','fmb_$i_1') = 'fmb_$i_2' )
& ( difference('fmb_$i_1','fmb_$i_2') = 'fmb_$i_2' )
& ( difference('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( difference('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_critical_point,type,
critical_point: $i > $i ).
tff(function_critical_point,axiom,
( ( critical_point('fmb_$i_1') = 'fmb_$i_2' )
& ( critical_point('fmb_$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_1' )
& ( appear('fmb_$i_2','fmb_$i_2') = 'fmb_$i_1' ) ) ).
tff(declare_founding_rate,type,
founding_rate: ( $i * $i ) > $i ).
tff(function_founding_rate,axiom,
( ( founding_rate('fmb_$i_1','fmb_$i_1') = 'fmb_$i_1' )
& ( founding_rate('fmb_$i_1','fmb_$i_2') = 'fmb_$i_1' )
& ( founding_rate('fmb_$i_2','fmb_$i_1') = 'fmb_$i_2' )
& ( founding_rate('fmb_$i_2','fmb_$i_2') = 'fmb_$i_2' ) ) ).
tff(declare_start_time,type,
start_time: $i > $i ).
tff(function_start_time,axiom,
( ( start_time('fmb_$i_1') = 'fmb_$i_2' )
& ( start_time('fmb_$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_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') ) ).
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_selection_favors,type,
selection_favors: ( $i * $i * $i ) > $o ).
tff(predicate_selection_favors,axiom,
( selection_favors('fmb_$i_1','fmb_$i_1','fmb_$i_1')
& selection_favors('fmb_$i_1','fmb_$i_1','fmb_$i_2')
& ~ selection_favors('fmb_$i_1','fmb_$i_2','fmb_$i_1')
& selection_favors('fmb_$i_1','fmb_$i_2','fmb_$i_2')
& selection_favors('fmb_$i_2','fmb_$i_1','fmb_$i_1')
& selection_favors('fmb_$i_2','fmb_$i_1','fmb_$i_2')
& selection_favors('fmb_$i_2','fmb_$i_2','fmb_$i_1')
& selection_favors('fmb_$i_2','fmb_$i_2','fmb_$i_2') ) ).
tff(declare_decreases,type,
decreases: $i > $o ).
tff(predicate_decreases,axiom,
( ~ decreases('fmb_$i_1')
& decreases('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') ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT034+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:22:07 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.15/0.47 % (3769669)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (3769674)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3593969182_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % (3769675)% WARNING: option uhcvi not known.
% 0.15/0.47 % Finite Model Found!
% 0.15/0.47 % SZS status CounterSatisfiable for theBenchmark
% 0.15/0.47 % (3769674) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3769669-3769674"...
% 0.15/0.47 % (3769674)...printing done.
% 0.15/0.47 % (3769675)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=429804701:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % SZS output start FiniteModel for theBenchmark
% See solution above
% 0.15/0.47 % (3769674)------------------------------
% 0.15/0.47 % (3769674)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (3769674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (3769674)CaDiCaL version: 2.1.3
% 0.15/0.47 % (3769674)Termination reason: Satisfiable
% 0.15/0.47 % (3769674)Time elapsed: 0.007 s
% 0.15/0.47 % (3769674)Peak memory usage: 12 MB
% 0.15/0.47 % (3769674)Instructions burned: 23 (million)
% 0.15/0.47 % (3769669)Success in time 0.044 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------