%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT021-1 : 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 : n006.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 12:02:31 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 11 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 41 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| in_environment(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_in_environment_27) ).
fof(f2,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(number_of_organizations(X0,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_not_empty_28) ).
fof(f3,axiom,
! [X0] :
( ~ decreases(X0)
| ~ increases(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_increase_not_decrease_29) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_31) ).
fof(f6,axiom,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_32) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ decreases(resources(X0,X1))
| increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_33) ).
fof(f8,axiom,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(resources(X0,X1))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_34) ).
fof(f9,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l3_35) ).
fof(f10,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l3_36) ).
fof(f11,negated_conjecture,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l3_37) ).
fof(f38,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ constant(resources(X0,sk2))
| ~ environment(X0) ),
inference(resolution,[],[f11,f8]) ).
fof(f39,plain,
~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(resolution,[],[f11,f3]) ).
fof(f43,plain,
( ~ environment(sk1)
| in_environment(sk1,sk2) ),
inference(resolution,[],[f1,f10]) ).
fof(f44,plain,
in_environment(sk1,sk2),
inference(forward_subsumption_resolution,[],[f43,f9]) ).
fof(f48,plain,
( ~ environment(sk1)
| greater(number_of_organizations(sk1,sk2),zero) ),
inference(resolution,[],[f2,f10]) ).
fof(f49,plain,
greater(number_of_organizations(sk1,sk2),zero),
inference(forward_subsumption_resolution,[],[f48,f9]) ).
fof(f78,plain,
( ~ constant(resources(sk1,sk2))
| ~ environment(sk1) ),
inference(resolution,[],[f38,f10]) ).
fof(f79,plain,
~ constant(resources(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f78,f9]) ).
fof(f109,plain,
( ~ in_environment(sk1,sk2)
| ~ environment(sk1)
| greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2)) ),
inference(resolution,[],[f6,f49]) ).
fof(f110,plain,
( ~ environment(sk1)
| greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2)) ),
inference(forward_subsumption_resolution,[],[f109,f44]) ).
fof(f111,plain,
( greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2)) ),
inference(forward_subsumption_resolution,[],[f110,f9]) ).
fof(f112,plain,
greater(equilibrium(sk1),sk2),
inference(forward_subsumption_resolution,[],[f111,f79]) ).
fof(f136,plain,
( ~ in_environment(sk1,sk2)
| ~ environment(sk1)
| ~ greater(equilibrium(sk1),sk2)
| decreases(resources(sk1,sk2)) ),
inference(resolution,[],[f5,f49]) ).
fof(f137,plain,
( ~ environment(sk1)
| ~ greater(equilibrium(sk1),sk2)
| decreases(resources(sk1,sk2)) ),
inference(forward_subsumption_resolution,[],[f136,f44]) ).
fof(f138,plain,
( ~ greater(equilibrium(sk1),sk2)
| decreases(resources(sk1,sk2)) ),
inference(forward_subsumption_resolution,[],[f137,f9]) ).
fof(f139,plain,
decreases(resources(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f138,f112]) ).
fof(f154,plain,
( ~ environment(sk1)
| ~ decreases(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[],[f7,f10]) ).
fof(f155,plain,
( ~ decreases(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(forward_subsumption_resolution,[],[f154,f9]) ).
fof(f156,plain,
increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(forward_subsumption_resolution,[],[f155,f139]) ).
fof(f157,plain,
$false,
inference(forward_subsumption_resolution,[],[f156,f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT021-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n006.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 17:17:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.45 % (3192553)Will run a generic schedule for satisfiability detection.
% 0.10/0.45 % (3192560)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=718465024:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.45 % (3192560) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3192553-3192560"...
% 0.10/0.45 % (3192560)...printing done.
% 0.10/0.45 % (3192560)Refutation found. Thanks to Tanya!
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.45 % (3192560)------------------------------
% 0.10/0.45 % (3192560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.45 % (3192560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.45 % (3192560)CaDiCaL version: 2.1.3
% 0.10/0.45 % (3192560)Termination reason: Refutation
% 0.10/0.45 % (3192560)Time elapsed: 0.002 s
% 0.10/0.45 % (3192560)Peak memory usage: 11 MB
% 0.10/0.45 % (3192560)Instructions burned: 3 (million)
% 0.10/0.45 % (3192553)Success in time 0.031 s
% 0.10/0.45 % Vampire exiting
%------------------------------------------------------------------------------