TSTP Solution File: MGT030-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT030-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:57:32 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 16
% Syntax : Number of formulae : 85 ( 11 unt; 0 def)
% Number of atoms : 271 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 309 ( 123 ~; 186 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f164,plain,
$false,
inference(subsumption_resolution,[],[f163,f12]) ).
fof(f12,axiom,
environment(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l12_12) ).
fof(f163,plain,
~ environment(sk4),
inference(subsumption_resolution,[],[f162,f135]) ).
fof(f135,plain,
greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(subsumption_resolution,[],[f134,f35]) ).
fof(f35,plain,
in_environment(sk4,sk2(sk4)),
inference(subsumption_resolution,[],[f34,f12]) ).
fof(f34,plain,
( in_environment(sk4,sk2(sk4))
| ~ environment(sk4) ),
inference(subsumption_resolution,[],[f33,f18]) ).
fof(f18,plain,
in_environment(sk4,sk3(sk4)),
inference(subsumption_resolution,[],[f17,f12]) ).
fof(f17,plain,
( ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(resolution,[],[f10,f13]) ).
fof(f13,axiom,
stable(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l12_13) ).
fof(f10,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sk3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_10) ).
fof(f33,plain,
( ~ in_environment(sk4,sk3(sk4))
| in_environment(sk4,sk2(sk4))
| ~ environment(sk4) ),
inference(duplicate_literal_removal,[],[f32]) ).
fof(f32,plain,
( ~ in_environment(sk4,sk3(sk4))
| in_environment(sk4,sk2(sk4))
| ~ environment(sk4)
| in_environment(sk4,sk2(sk4)) ),
inference(resolution,[],[f7,f31]) ).
fof(f31,plain,
( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| in_environment(sk4,sk2(sk4)) ),
inference(subsumption_resolution,[],[f30,f22]) ).
fof(f22,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(subsumption_resolution,[],[f21,f12]) ).
fof(f21,plain,
( ~ environment(sk4)
| in_environment(sk4,sk2(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolution,[],[f2,f18]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,sk2(X0))
| greater_or_equal(sk1(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_2) ).
fof(f30,plain,
( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| in_environment(sk4,sk2(sk4)) ),
inference(subsumption_resolution,[],[f29,f13]) ).
fof(f29,plain,
( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| in_environment(sk4,sk2(sk4)) ),
inference(subsumption_resolution,[],[f26,f12]) ).
fof(f26,plain,
( ~ environment(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| in_environment(sk4,sk2(sk4)) ),
inference(resolution,[],[f11,f24]) ).
fof(f24,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(subsumption_resolution,[],[f23,f12]) ).
fof(f23,plain,
( ~ environment(sk4)
| in_environment(sk4,sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolution,[],[f1,f18]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,sk2(X0))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_1) ).
fof(f11,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,sk3(X0))
| ~ stable(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_11) ).
fof(f7,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ in_environment(X0,X1)
| in_environment(X0,sk2(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_7) ).
fof(f134,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(duplicate_literal_removal,[],[f133]) ).
fof(f133,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[],[f132,f16]) ).
fof(f16,axiom,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk5(X0)),growth_rate(first_movers,sk5(X0)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l12_16) ).
fof(f132,plain,
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(subsumption_resolution,[],[f131,f18]) ).
fof(f131,plain,
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ in_environment(sk4,sk3(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(duplicate_literal_removal,[],[f128]) ).
fof(f128,plain,
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ in_environment(sk4,sk3(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[],[f126,f109]) ).
fof(f109,plain,
( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(subsumption_resolution,[],[f108,f13]) ).
fof(f108,plain,
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f107,f83]) ).
fof(f83,plain,
greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)),
inference(duplicate_literal_removal,[],[f81]) ).
fof(f81,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolution,[],[f80,f18]) ).
fof(f80,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater_or_equal(sk1(X0,sk4),X0) ),
inference(subsumption_resolution,[],[f78,f12]) ).
fof(f78,plain,
! [X0] :
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ in_environment(sk4,X0)
| greater_or_equal(sk1(X0,sk4),X0)
| ~ environment(sk4) ),
inference(resolution,[],[f76,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ in_environment(X0,X1)
| greater_or_equal(sk1(X1,X0),X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_5) ).
fof(f76,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(subsumption_resolution,[],[f75,f35]) ).
fof(f75,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f74,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4)) ),
inference(resolution,[],[f72,f16]) ).
fof(f72,plain,
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[],[f71,f18]) ).
fof(f71,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| greater_or_equal(sk1(X0,sk4),X0)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(subsumption_resolution,[],[f70,f12]) ).
fof(f70,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ environment(sk4)
| greater_or_equal(sk1(X0,sk4),X0)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(subsumption_resolution,[],[f65,f63]) ).
fof(f63,plain,
greater(sk5(sk2(sk4)),sk2(sk4)),
inference(subsumption_resolution,[],[f62,f37]) ).
fof(f37,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolution,[],[f35,f15]) ).
fof(f15,axiom,
! [X0] :
( ~ in_environment(sk4,X0)
| greater(sk5(X0),X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l12_15) ).
fof(f62,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(subsumption_resolution,[],[f61,f12]) ).
fof(f61,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ environment(sk4)
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(subsumption_resolution,[],[f59,f18]) ).
fof(f59,plain,
( ~ in_environment(sk4,sk3(sk4))
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ environment(sk4)
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolution,[],[f8,f54]) ).
fof(f54,plain,
( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(subsumption_resolution,[],[f53,f42]) ).
fof(f42,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(resolution,[],[f41,f18]) ).
fof(f41,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| greater(sk5(sk2(sk4)),sk2(sk4))
| greater_or_equal(sk1(X0,sk4),X0) ),
inference(subsumption_resolution,[],[f40,f12]) ).
fof(f40,plain,
! [X0] :
( greater(sk5(sk2(sk4)),sk2(sk4))
| ~ in_environment(sk4,X0)
| greater_or_equal(sk1(X0,sk4),X0)
| ~ environment(sk4) ),
inference(resolution,[],[f37,f5]) ).
fof(f53,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f52,f13]) ).
fof(f52,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f51,f12]) ).
fof(f51,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| ~ environment(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[],[f49,f11]) ).
fof(f49,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolution,[],[f45,f18]) ).
fof(f45,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(subsumption_resolution,[],[f44,f12]) ).
fof(f44,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| ~ environment(sk4)
| greater(sk5(sk2(sk4)),sk2(sk4)) ),
inference(resolution,[],[f3,f37]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ in_environment(X0,X1)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_3) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_8) ).
fof(f65,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ environment(sk4)
| greater_or_equal(sk1(X0,sk4),X0)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[],[f6,f36]) ).
fof(f36,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[],[f35,f14]) ).
fof(f14,axiom,
! [X0] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk5(X0))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l12_14) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ in_environment(X0,X1)
| ~ greater(X2,sk2(X0))
| ~ environment(X0)
| greater_or_equal(sk1(X1,X0),X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_6) ).
fof(f107,plain,
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f106,f12]) ).
fof(f106,plain,
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ environment(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[],[f102,f11]) ).
fof(f102,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[],[f98,f18]) ).
fof(f98,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(subsumption_resolution,[],[f97,f12]) ).
fof(f97,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ environment(sk4)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(subsumption_resolution,[],[f92,f63]) ).
fof(f92,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ environment(sk4)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[],[f4,f36]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ in_environment(X0,X1)
| ~ greater(X2,sk2(X0))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_4) ).
fof(f126,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ in_environment(sk4,X0)
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(subsumption_resolution,[],[f125,f12]) ).
fof(f125,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ environment(sk4)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(subsumption_resolution,[],[f118,f63]) ).
fof(f118,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater(sk5(sk2(sk4)),sk2(sk4))
| ~ environment(sk4)
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[],[f9,f36]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ in_environment(X0,X1)
| ~ greater(X2,sk2(X0))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_9) ).
fof(f162,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ environment(sk4) ),
inference(subsumption_resolution,[],[f160,f18]) ).
fof(f160,plain,
( ~ in_environment(sk4,sk3(sk4))
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ environment(sk4) ),
inference(resolution,[],[f151,f8]) ).
fof(f151,plain,
greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))),
inference(subsumption_resolution,[],[f150,f13]) ).
fof(f150,plain,
( ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f149,f83]) ).
fof(f149,plain,
( ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f147,f12]) ).
fof(f147,plain,
( ~ environment(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[],[f142,f11]) ).
fof(f142,plain,
subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)),
inference(resolution,[],[f138,f18]) ).
fof(f138,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4)) ),
inference(subsumption_resolution,[],[f136,f12]) ).
fof(f136,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| ~ environment(sk4) ),
inference(resolution,[],[f135,f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT030-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri May 3 20:04:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (20210)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (20211)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36 % (20215)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.36 % (20214)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.36 % (20212)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (20213)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.36 % (20216)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.36 % (20217)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (20215)First to succeed.
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (20216)Also succeeded, but the first one will report.
% 0.14/0.37 Detected minimum model sizes of [1,1,1]
% 0.14/0.37 Detected maximum model sizes of [max,max,1]
% 0.14/0.37 TRYING [1,1,1]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 Detected minimum model sizes of [1,1,1]
% 0.14/0.37 Detected maximum model sizes of [max,max,1]
% 0.14/0.37 TRYING [1,1,1]
% 0.14/0.37 TRYING [2,1,1]
% 0.14/0.37 % (20215)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20210"
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2,1,1]
% 0.14/0.37 TRYING [2,2,1]
% 0.14/0.37 % (20215)Refutation found. Thanks to Tanya!
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.37 % (20215)------------------------------
% 0.14/0.37 % (20215)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.37 % (20215)Termination reason: Refutation
% 0.14/0.37
% 0.14/0.37 % (20215)Memory used [KB]: 766
% 0.14/0.37 % (20215)Time elapsed: 0.007 s
% 0.14/0.37 % (20215)Instructions burned: 11 (million)
% 0.14/0.37 % (20210)Success in time 0.014 s
%------------------------------------------------------------------------------