%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT036-3 : 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 12:02:38 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ subpopulations(X1,X2,X0,X3)
| subpopulations(X2,X1,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ subpopulations(X1,X2,X0,X3)
| ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ greater(zero,growth_rate(X1,X3))
| outcompetes(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_2) ).
fof(f5,axiom,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_5) ).
fof(f6,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_6) ).
fof(f7,axiom,
greater_or_equal(growth_rate(first_movers,sk2),zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_7) ).
fof(f8,axiom,
greater(zero,growth_rate(efficient_producers,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_8) ).
fof(f9,negated_conjecture,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ outcompetes(first_movers,efficient_producers,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_star_9) ).
fof(f10,plain,
! [X0] :
( ~ outcompetes(first_movers,efficient_producers,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(resolution,[],[f5,f9]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ subpopulations(X0,X1,sk1,X2)
| subpopulations(X1,X0,sk1,X2) ),
inference(resolution,[],[f1,f5]) ).
fof(f13,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(resolution,[],[f11,f6]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ greater(zero,growth_rate(X0,X2))
| ~ greater_or_equal(growth_rate(X1,X2),zero)
| ~ subpopulations(X0,X1,sk1,X2)
| outcompetes(X1,X0,X2) ),
inference(resolution,[],[f2,f5]) ).
fof(f17,plain,
! [X0] :
( ~ greater_or_equal(growth_rate(X0,sk2),zero)
| ~ subpopulations(efficient_producers,X0,sk1,sk2)
| outcompetes(X0,efficient_producers,sk2) ),
inference(resolution,[],[f16,f8]) ).
fof(f18,plain,
( ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
| outcompetes(first_movers,efficient_producers,sk2) ),
inference(resolution,[],[f17,f7]) ).
fof(f19,plain,
outcompetes(first_movers,efficient_producers,sk2),
inference(forward_subsumption_resolution,[],[f18,f13]) ).
fof(f20,plain,
~ subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(resolution,[],[f19,f10]) ).
fof(f23,plain,
$false,
inference(forward_subsumption_resolution,[],[f20,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT036-3 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:23:04 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.16/0.46 % (3287771)Will run a generic schedule for satisfiability detection.
% 0.16/0.46 % (3287781)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2213837544:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.46 % (3287781) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3287771-3287781"...
% 0.16/0.46 % (3287781)...printing done.
% 0.16/0.46 % (3287781)Refutation found. Thanks to Tanya!
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.46 % (3287781)------------------------------
% 0.16/0.46 % (3287781)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.46 % (3287781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.46 % (3287781)CaDiCaL version: 2.1.3
% 0.16/0.46 % (3287781)Termination reason: Refutation
% 0.16/0.46 % (3287781)Time elapsed: 0.001 s
% 0.16/0.46 % (3287781)Peak memory usage: 11 MB
% 0.16/0.46 % (3287781)Instructions burned: 1 (million)
% 0.16/0.46 % (3287771)Success in time 0.035 s
% 0.16/0.46 % Vampire exiting
%------------------------------------------------------------------------------