TSTP Solution File: MGT030-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT030-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n003.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 : Tue May 21 00:42:12 EDT 2024
% Result : Unsatisfiable 0.48s 0.65s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 25
% Syntax : Number of formulae : 96 ( 5 unt; 0 def)
% Number of atoms : 342 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 467 ( 221 ~; 237 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 10 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f293,plain,
$false,
inference(avatar_sat_refutation,[],[f55,f58,f64,f76,f110,f187,f206,f229,f270,f290,f292]) ).
fof(f292,plain,
( spl0_2
| spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f291,f73,f38,f34]) ).
fof(f34,plain,
( spl0_2
<=> greater(sk5(sk2(sk4)),sk2(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f38,plain,
( spl0_3
<=> greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f73,plain,
( spl0_7
<=> in_environment(sk4,sk2(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f291,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| spl0_3
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f238,f39]) ).
fof(f39,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| spl0_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f238,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4))
| ~ spl0_7 ),
inference(resolution,[],[f74,f15]) ).
fof(f15,axiom,
! [X0] :
( ~ in_environment(sk4,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(sk5(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_15) ).
fof(f74,plain,
( in_environment(sk4,sk2(sk4))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f290,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f289,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f285,f227]) ).
fof(f227,plain,
( in_environment(sk4,sk3(sk4))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl0_12
<=> in_environment(sk4,sk3(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f285,plain,
( ~ in_environment(sk4,sk3(sk4))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_10 ),
inference(resolution,[],[f236,f198]) ).
fof(f198,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f196,plain,
( spl0_10
<=> greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f236,plain,
( ! [X0] :
( ~ greater_or_equal(sk1(X0,sk4),sk3(sk4))
| ~ in_environment(sk4,X0) )
| ~ spl0_1
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f235,f32]) ).
fof(f32,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| ~ in_environment(sk4,X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f31,plain,
( spl0_1
<=> ! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| ~ in_environment(sk4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f235,plain,
( ! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater_or_equal(sk1(X0,sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4))) )
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f234,f12]) ).
fof(f12,axiom,
environment(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_12) ).
fof(f234,plain,
( ! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater_or_equal(sk1(X0,sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| ~ environment(sk4) )
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f230,f13]) ).
fof(f13,axiom,
stable(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_13) ).
fof(f230,plain,
( ! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater_or_equal(sk1(X0,sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| ~ stable(sk4)
| ~ environment(sk4) )
| ~ spl0_6 ),
inference(resolution,[],[f63,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk3(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_11) ).
fof(f63,plain,
( ! [X1] :
( subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
| ~ in_environment(sk4,X1) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_6
<=> ! [X1] :
( subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
| ~ in_environment(sk4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f270,plain,
spl0_12,
inference(avatar_contradiction_clause,[],[f269]) ).
fof(f269,plain,
( $false
| spl0_12 ),
inference(subsumption_resolution,[],[f268,f12]) ).
fof(f268,plain,
( ~ environment(sk4)
| spl0_12 ),
inference(subsumption_resolution,[],[f267,f13]) ).
fof(f267,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| spl0_12 ),
inference(resolution,[],[f228,f10]) ).
fof(f10,axiom,
! [X0] :
( in_environment(X0,sk3(X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_10) ).
fof(f228,plain,
( ~ in_environment(sk4,sk3(sk4))
| spl0_12 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f229,plain,
( ~ spl0_12
| spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f216,f196,f73,f226]) ).
fof(f216,plain,
( in_environment(sk4,sk2(sk4))
| ~ in_environment(sk4,sk3(sk4))
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f215,f12]) ).
fof(f215,plain,
( ~ environment(sk4)
| in_environment(sk4,sk2(sk4))
| ~ in_environment(sk4,sk3(sk4))
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f214,f13]) ).
fof(f214,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| in_environment(sk4,sk2(sk4))
| ~ in_environment(sk4,sk3(sk4))
| ~ spl0_10 ),
inference(resolution,[],[f198,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ greater_or_equal(sk1(X0,X1),sk3(X1))
| ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,sk2(X1))
| ~ in_environment(X1,X0) ),
inference(subsumption_resolution,[],[f115,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( in_environment(X0,sk2(X0))
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_7) ).
fof(f115,plain,
! [X0,X1] :
( ~ greater_or_equal(sk1(X0,X1),sk3(X1))
| greater(growth_rate(efficient_producers,sk1(X0,X1)),growth_rate(first_movers,sk1(X0,X1)))
| ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,sk2(X1))
| ~ in_environment(X1,X0) ),
inference(duplicate_literal_removal,[],[f113]) ).
fof(f113,plain,
! [X0,X1] :
( ~ greater_or_equal(sk1(X0,X1),sk3(X1))
| greater(growth_rate(efficient_producers,sk1(X0,X1)),growth_rate(first_movers,sk1(X0,X1)))
| ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,sk2(X1))
| ~ in_environment(X1,X0)
| ~ environment(X1) ),
inference(resolution,[],[f11,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in_environment(X0,sk2(X0))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_1) ).
fof(f206,plain,
( spl0_10
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f205,f44,f196]) ).
fof(f44,plain,
( spl0_4
<=> ! [X0] :
( greater_or_equal(sk1(X0,sk4),X0)
| ~ in_environment(sk4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f205,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f204,f12]) ).
fof(f204,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f192,f13]) ).
fof(f192,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| ~ environment(sk4)
| ~ spl0_4 ),
inference(resolution,[],[f45,f10]) ).
fof(f45,plain,
( ! [X0] :
( ~ in_environment(sk4,X0)
| greater_or_equal(sk1(X0,sk4),X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f187,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f186]) ).
fof(f186,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f185,f12]) ).
fof(f185,plain,
( ~ environment(sk4)
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f184,f13]) ).
fof(f184,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| ~ spl0_3 ),
inference(resolution,[],[f177,f10]) ).
fof(f177,plain,
( ~ in_environment(sk4,sk3(sk4))
| ~ spl0_3 ),
inference(resolution,[],[f176,f166]) ).
fof(f166,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f165,f13]) ).
fof(f165,plain,
( ~ stable(sk4)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f161,f12]) ).
fof(f161,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ spl0_3 ),
inference(resolution,[],[f91,f40]) ).
fof(f40,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f91,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0)
| ~ stable(X0)
| greater_or_equal(sk1(sk3(X0),X0),sk3(X0)) ),
inference(duplicate_literal_removal,[],[f81]) ).
fof(f81,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| greater_or_equal(sk1(sk3(X0),X0),sk3(X0))
| ~ environment(X0) ),
inference(resolution,[],[f10,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_5) ).
fof(f176,plain,
( ! [X0] :
( ~ greater_or_equal(sk1(X0,sk4),sk3(sk4))
| ~ in_environment(sk4,X0) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f175,f12]) ).
fof(f175,plain,
( ! [X0] :
( ~ environment(sk4)
| ~ greater_or_equal(sk1(X0,sk4),sk3(sk4))
| ~ in_environment(sk4,X0) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f171,f13]) ).
fof(f171,plain,
( ! [X0] :
( ~ stable(sk4)
| ~ environment(sk4)
| ~ greater_or_equal(sk1(X0,sk4),sk3(sk4))
| ~ in_environment(sk4,X0) )
| ~ spl0_3 ),
inference(resolution,[],[f119,f40]) ).
fof(f119,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ stable(X1)
| ~ environment(X1)
| ~ greater_or_equal(sk1(X0,X1),sk3(X1))
| ~ in_environment(X1,X0) ),
inference(subsumption_resolution,[],[f116,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_8) ).
fof(f116,plain,
! [X0,X1] :
( ~ greater_or_equal(sk1(X0,X1),sk3(X1))
| greater(growth_rate(efficient_producers,sk1(X0,X1)),growth_rate(first_movers,sk1(X0,X1)))
| ~ stable(X1)
| ~ environment(X1)
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ in_environment(X1,X0) ),
inference(duplicate_literal_removal,[],[f112]) ).
fof(f112,plain,
! [X0,X1] :
( ~ greater_or_equal(sk1(X0,X1),sk3(X1))
| greater(growth_rate(efficient_producers,sk1(X0,X1)),growth_rate(first_movers,sk1(X0,X1)))
| ~ stable(X1)
| ~ environment(X1)
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ in_environment(X1,X0)
| ~ environment(X1) ),
inference(resolution,[],[f11,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_3) ).
fof(f110,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f109,f73,f44]) ).
fof(f109,plain,
( ! [X0] :
( greater_or_equal(sk1(X0,sk4),X0)
| ~ in_environment(sk4,X0) )
| spl0_7 ),
inference(subsumption_resolution,[],[f105,f12]) ).
fof(f105,plain,
( ! [X0] :
( greater_or_equal(sk1(X0,sk4),X0)
| ~ in_environment(sk4,X0)
| ~ environment(sk4) )
| spl0_7 ),
inference(resolution,[],[f75,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( in_environment(X0,sk2(X0))
| greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_2) ).
fof(f75,plain,
( ~ in_environment(sk4,sk2(sk4))
| spl0_7 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,plain,
( ~ spl0_7
| spl0_3
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f71,f53,f34,f38,f73]) ).
fof(f53,plain,
( spl0_5
<=> ! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(sk5(X0),sk2(sk4))
| ~ in_environment(sk4,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f71,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f54,f36]) ).
fof(f36,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f54,plain,
( ! [X0] :
( ~ greater(sk5(X0),sk2(sk4))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f64,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f60,f53,f62]) ).
fof(f60,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0)
| ~ greater(sk5(X0),sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
| ~ in_environment(sk4,X1) ),
inference(subsumption_resolution,[],[f59,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/sandbox2/benchmark/theBenchmark.p',prove_l12_16) ).
fof(f59,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0)
| greater(growth_rate(efficient_producers,sk5(X0)),growth_rate(first_movers,sk5(X0)))
| ~ greater(sk5(X0),sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
| ~ in_environment(sk4,X1) ),
inference(subsumption_resolution,[],[f49,f12]) ).
fof(f49,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0)
| greater(growth_rate(efficient_producers,sk5(X0)),growth_rate(first_movers,sk5(X0)))
| ~ greater(sk5(X0),sk2(sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
| ~ in_environment(sk4,X1)
| ~ environment(sk4) ),
inference(resolution,[],[f14,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_4) ).
fof(f14,axiom,
! [X0] :
( subpopulations(first_movers,efficient_producers,sk4,sk5(X0))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_14) ).
fof(f58,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f57,f53,f44]) ).
fof(f57,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0)
| ~ greater(sk5(X0),sk2(sk4))
| greater_or_equal(sk1(X1,sk4),X1)
| ~ in_environment(sk4,X1) ),
inference(subsumption_resolution,[],[f56,f16]) ).
fof(f56,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0)
| greater(growth_rate(efficient_producers,sk5(X0)),growth_rate(first_movers,sk5(X0)))
| ~ greater(sk5(X0),sk2(sk4))
| greater_or_equal(sk1(X1,sk4),X1)
| ~ in_environment(sk4,X1) ),
inference(subsumption_resolution,[],[f48,f12]) ).
fof(f48,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0)
| greater(growth_rate(efficient_producers,sk5(X0)),growth_rate(first_movers,sk5(X0)))
| ~ greater(sk5(X0),sk2(sk4))
| greater_or_equal(sk1(X1,sk4),X1)
| ~ in_environment(sk4,X1)
| ~ environment(sk4) ),
inference(resolution,[],[f14,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_6) ).
fof(f55,plain,
( spl0_1
| spl0_5 ),
inference(avatar_split_clause,[],[f51,f53,f31]) ).
fof(f51,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0)
| ~ greater(sk5(X0),sk2(sk4))
| ~ greater(growth_rate(efficient_producers,sk1(X1,sk4)),growth_rate(first_movers,sk1(X1,sk4)))
| ~ in_environment(sk4,X1) ),
inference(subsumption_resolution,[],[f50,f16]) ).
fof(f50,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0)
| greater(growth_rate(efficient_producers,sk5(X0)),growth_rate(first_movers,sk5(X0)))
| ~ greater(sk5(X0),sk2(sk4))
| ~ greater(growth_rate(efficient_producers,sk1(X1,sk4)),growth_rate(first_movers,sk1(X1,sk4)))
| ~ in_environment(sk4,X1) ),
inference(subsumption_resolution,[],[f47,f12]) ).
fof(f47,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0)
| greater(growth_rate(efficient_producers,sk5(X0)),growth_rate(first_movers,sk5(X0)))
| ~ greater(sk5(X0),sk2(sk4))
| ~ greater(growth_rate(efficient_producers,sk1(X1,sk4)),growth_rate(first_movers,sk1(X1,sk4)))
| ~ in_environment(sk4,X1)
| ~ environment(sk4) ),
inference(resolution,[],[f14,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT030-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 00:07:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.13/0.34 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.64 % (14961)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2997ds/34Mi)
% 0.48/0.65 % (14962)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.48/0.65 % (14964)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2997ds/56Mi)
% 0.48/0.65 % (14963)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2997ds/83Mi)
% 0.48/0.65 % (14957)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2997ds/34Mi)
% 0.48/0.65 % (14959)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.48/0.65 % (14958)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2997ds/51Mi)
% 0.48/0.65 % (14960)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.48/0.65 % (14960)Refutation not found, incomplete strategy% (14960)------------------------------
% 0.48/0.65 % (14960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.65 % (14961)First to succeed.
% 0.48/0.65 % (14960)Termination reason: Refutation not found, incomplete strategy
% 0.48/0.65
% 0.48/0.65 % (14960)Memory used [KB]: 955
% 0.48/0.65 % (14960)Time elapsed: 0.003 s
% 0.48/0.65 % (14960)Instructions burned: 3 (million)
% 0.48/0.65 % (14960)------------------------------
% 0.48/0.65 % (14960)------------------------------
% 0.48/0.65 % (14964)Also succeeded, but the first one will report.
% 0.48/0.65 % (14961)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14956"
% 0.48/0.65 % (14961)Refutation found. Thanks to Tanya!
% 0.48/0.65 % SZS status Unsatisfiable for theBenchmark
% 0.48/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 0.48/0.65 % (14961)------------------------------
% 0.48/0.65 % (14961)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.48/0.65 % (14961)Termination reason: Refutation
% 0.48/0.65
% 0.48/0.65 % (14961)Memory used [KB]: 1095
% 0.48/0.65 % (14961)Time elapsed: 0.005 s
% 0.48/0.65 % (14961)Instructions burned: 11 (million)
% 0.48/0.65 % (14956)Success in time 0.299 s
% 0.48/0.65 % Vampire---4.8 exiting
%------------------------------------------------------------------------------