TSTP Solution File: MGT023-2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT023-2 : TPTP v8.1.2. 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 : n011.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 07:56:36 EDT 2024
% Result : Unsatisfiable 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 98 ( 5 unt; 0 def)
% Number of atoms : 340 ( 13 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 449 ( 207 ~; 233 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 10 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f132,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f35,f42,f60,f74,f80,f81,f91,f98,f105,f109,f112,f128,f131]) ).
fof(f131,plain,
( spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f130,f102,f71,f52]) ).
fof(f52,plain,
( spl0_6
<=> in_environment(sk5,sk2(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f71,plain,
( spl0_8
<=> greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f102,plain,
( spl0_9
<=> in_environment(sk5,sk4(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f130,plain,
( in_environment(sk5,sk2(sk5))
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f129,f15]) ).
fof(f15,axiom,
environment(sk5),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',prove_l5_33) ).
fof(f129,plain,
( in_environment(sk5,sk2(sk5))
| ~ environment(sk5)
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f121,f103]) ).
fof(f103,plain,
( in_environment(sk5,sk4(sk5))
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f121,plain,
( in_environment(sk5,sk2(sk5))
| ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5)
| ~ spl0_8 ),
inference(resolution,[],[f73,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| in_environment(X0,sk2(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',mp_earliest_time_growth_rate_exceeds_25) ).
fof(f73,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f128,plain,
( spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f127,f102,f71,f23]) ).
fof(f23,plain,
( spl0_2
<=> ! [X0] :
( ~ greater(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f127,plain,
( ! [X0] :
( ~ greater(X0,sk2(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) )
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f126,f15]) ).
fof(f126,plain,
( ! [X0] :
( ~ greater(X0,sk2(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(sk5) )
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f120,f103]) ).
fof(f120,plain,
( ! [X0] :
( ~ greater(X0,sk2(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5) )
| ~ spl0_8 ),
inference(resolution,[],[f73,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ greater(X2,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',mp_earliest_time_growth_rate_exceeds_27) ).
fof(f112,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f111]) ).
fof(f111,plain,
( $false
| ~ spl0_5
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f110,f53]) ).
fof(f53,plain,
( in_environment(sk5,sk2(sk5))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f110,plain,
( ~ in_environment(sk5,sk2(sk5))
| ~ spl0_5 ),
inference(backward_demodulation,[],[f17,f50]) ).
fof(f50,plain,
( critical_point(sk5) = sk2(sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl0_5
<=> critical_point(sk5) = sk2(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f17,axiom,
~ in_environment(sk5,critical_point(sk5)),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',prove_l5_35) ).
fof(f109,plain,
spl0_9,
inference(avatar_contradiction_clause,[],[f108]) ).
fof(f108,plain,
( $false
| spl0_9 ),
inference(subsumption_resolution,[],[f107,f15]) ).
fof(f107,plain,
( ~ environment(sk5)
| spl0_9 ),
inference(subsumption_resolution,[],[f106,f16]) ).
fof(f16,axiom,
stable(sk5),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',prove_l5_34) ).
fof(f106,plain,
( ~ stable(sk5)
| ~ environment(sk5)
| spl0_9 ),
inference(resolution,[],[f104,f13]) ).
fof(f13,axiom,
! [X0] :
( in_environment(X0,sk4(X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',l1_31) ).
fof(f104,plain,
( ~ in_environment(sk5,sk4(sk5))
| spl0_9 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f105,plain,
( ~ spl0_9
| spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f100,f67,f23,f102]) ).
fof(f67,plain,
( spl0_7
<=> subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f100,plain,
( ! [X0] :
( ~ greater(X0,sk2(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk5,sk4(sk5)) )
| spl0_7 ),
inference(subsumption_resolution,[],[f99,f15]) ).
fof(f99,plain,
( ! [X0] :
( ~ greater(X0,sk2(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5) )
| spl0_7 ),
inference(resolution,[],[f69,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ greater(X2,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',mp_earliest_time_growth_rate_exceeds_22) ).
fof(f69,plain,
( ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| spl0_7 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f98,plain,
( ~ spl0_3
| ~ spl0_8 ),
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| ~ spl0_3
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f96,f15]) ).
fof(f96,plain,
( ~ environment(sk5)
| ~ spl0_3
| ~ spl0_8 ),
inference(subsumption_resolution,[],[f95,f16]) ).
fof(f95,plain,
( ~ stable(sk5)
| ~ environment(sk5)
| ~ spl0_3
| ~ spl0_8 ),
inference(resolution,[],[f94,f13]) ).
fof(f94,plain,
( ~ in_environment(sk5,sk4(sk5))
| ~ spl0_3
| ~ spl0_8 ),
inference(resolution,[],[f85,f73]) ).
fof(f85,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(X0,sk5)),growth_rate(first_movers,sk1(X0,sk5)))
| ~ in_environment(sk5,X0) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f82,f15]) ).
fof(f82,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(X0,sk5)),growth_rate(first_movers,sk1(X0,sk5)))
| ~ in_environment(sk5,X0)
| ~ environment(sk5) )
| ~ spl0_3 ),
inference(resolution,[],[f31,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/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',mp_earliest_time_growth_rate_exceeds_26) ).
fof(f31,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl0_3
<=> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f91,plain,
( ~ spl0_3
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f90]) ).
fof(f90,plain,
( $false
| ~ spl0_3
| spl0_7 ),
inference(subsumption_resolution,[],[f89,f15]) ).
fof(f89,plain,
( ~ environment(sk5)
| ~ spl0_3
| spl0_7 ),
inference(subsumption_resolution,[],[f88,f16]) ).
fof(f88,plain,
( ~ stable(sk5)
| ~ environment(sk5)
| ~ spl0_3
| spl0_7 ),
inference(resolution,[],[f87,f13]) ).
fof(f87,plain,
( ~ in_environment(sk5,sk4(sk5))
| ~ spl0_3
| spl0_7 ),
inference(resolution,[],[f86,f69]) ).
fof(f86,plain,
( ! [X0] :
( subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))
| ~ in_environment(sk5,X0) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f83,f15]) ).
fof(f83,plain,
( ! [X0] :
( subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))
| ~ in_environment(sk5,X0)
| ~ environment(sk5) )
| ~ spl0_3 ),
inference(resolution,[],[f31,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/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',mp_earliest_time_growth_rate_exceeds_21) ).
fof(f81,plain,
( spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f45,f33,f52,f48,f29]) ).
fof(f33,plain,
( spl0_4
<=> ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),X0))
| ~ environment(X0)
| ~ in_environment(X0,sk2(sk5))
| critical_point(X0) = sk2(sk5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f45,plain,
( ~ in_environment(sk5,sk2(sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f44,f15]) ).
fof(f44,plain,
( ~ environment(sk5)
| ~ in_environment(sk5,sk2(sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f43]) ).
fof(f43,plain,
( ~ environment(sk5)
| ~ in_environment(sk5,sk2(sk5))
| critical_point(sk5) = sk2(sk5)
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(sk5)
| ~ spl0_4 ),
inference(resolution,[],[f34,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk3(X1,X0))
| critical_point(X0) = X1
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',d1_28) ).
fof(f34,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),X0))
| ~ environment(X0)
| ~ in_environment(X0,sk2(sk5))
| critical_point(X0) = sk2(sk5) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f80,plain,
( spl0_6
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f79,plain,
( $false
| spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f78,f15]) ).
fof(f78,plain,
( ~ environment(sk5)
| spl0_6
| spl0_7 ),
inference(subsumption_resolution,[],[f77,f16]) ).
fof(f77,plain,
( ~ stable(sk5)
| ~ environment(sk5)
| spl0_6
| spl0_7 ),
inference(resolution,[],[f76,f13]) ).
fof(f76,plain,
( ~ in_environment(sk5,sk4(sk5))
| spl0_6
| spl0_7 ),
inference(resolution,[],[f58,f69]) ).
fof(f58,plain,
( ! [X0] :
( subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))
| ~ in_environment(sk5,X0) )
| spl0_6 ),
inference(subsumption_resolution,[],[f56,f15]) ).
fof(f56,plain,
( ! [X0] :
( subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))
| ~ in_environment(sk5,X0)
| ~ environment(sk5) )
| spl0_6 ),
inference(resolution,[],[f54,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/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',mp_earliest_time_growth_rate_exceeds_19) ).
fof(f54,plain,
( ~ in_environment(sk5,sk2(sk5))
| spl0_6 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f74,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f65,f20,f71,f67]) ).
fof(f20,plain,
( spl0_1
<=> ! [X1] :
( greater_or_equal(sk1(X1,sk5),X1)
| ~ in_environment(sk5,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f65,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f64,f15]) ).
fof(f64,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ environment(sk5)
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f63,f16]) ).
fof(f63,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ stable(sk5)
| ~ environment(sk5)
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f62]) ).
fof(f62,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ stable(sk5)
| ~ environment(sk5)
| ~ stable(sk5)
| ~ environment(sk5)
| ~ spl0_1 ),
inference(resolution,[],[f61,f13]) ).
fof(f61,plain,
( ! [X0] :
( ~ in_environment(sk5,sk4(X0))
| greater(growth_rate(efficient_producers,sk1(sk4(X0),sk5)),growth_rate(first_movers,sk1(sk4(X0),sk5)))
| ~ subpopulations(first_movers,efficient_producers,X0,sk1(sk4(X0),sk5))
| ~ stable(X0)
| ~ environment(X0) )
| ~ spl0_1 ),
inference(resolution,[],[f21,f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,sk4(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',l1_32) ).
fof(f21,plain,
( ! [X1] :
( greater_or_equal(sk1(X1,sk5),X1)
| ~ in_environment(sk5,X1) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f60,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f59,f52,f20]) ).
fof(f59,plain,
( ! [X0] :
( greater_or_equal(sk1(X0,sk5),X0)
| ~ in_environment(sk5,X0) )
| spl0_6 ),
inference(subsumption_resolution,[],[f57,f15]) ).
fof(f57,plain,
( ! [X0] :
( greater_or_equal(sk1(X0,sk5),X0)
| ~ in_environment(sk5,X0)
| ~ environment(sk5) )
| spl0_6 ),
inference(resolution,[],[f54,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/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',mp_earliest_time_growth_rate_exceeds_20) ).
fof(f42,plain,
( spl0_1
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f41,f29,f20]) ).
fof(f41,plain,
( ! [X0] :
( greater_or_equal(sk1(X0,sk5),X0)
| ~ in_environment(sk5,X0) )
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f38,f15]) ).
fof(f38,plain,
( ! [X0] :
( greater_or_equal(sk1(X0,sk5),X0)
| ~ in_environment(sk5,X0)
| ~ environment(sk5) )
| ~ spl0_3 ),
inference(resolution,[],[f31,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/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',mp_earliest_time_growth_rate_exceeds_23) ).
fof(f35,plain,
( spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f27,f23,f33,f29]) ).
fof(f27,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),X0))
| critical_point(X0) = sk2(sk5)
| ~ in_environment(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(X0) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f26,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk3(X1,X0)),growth_rate(first_movers,sk3(X1,X0)))
| critical_point(X0) = X1
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',d1_30) ).
fof(f26,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),X0)),growth_rate(first_movers,sk3(sk2(sk5),X0)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),X0))
| critical_point(X0) = sk2(sk5)
| ~ in_environment(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f24,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( greater(sk3(X1,X0),X1)
| critical_point(X0) = X1
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',d1_29) ).
fof(f24,plain,
( ! [X0] :
( ~ greater(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f25,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f23,f20]) ).
fof(f18,plain,
! [X0,X1] :
( ~ greater(X0,sk2(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater_or_equal(sk1(X1,sk5),X1)
| ~ in_environment(sk5,X1)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(resolution,[],[f6,f15]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ greater(X2,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438',mp_earliest_time_growth_rate_exceeds_24) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT023-2 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:03:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36 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/tmp/tmp.84jZSiuYXr/Vampire---4.8_9438
% 0.56/0.76 % (9656)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.76 % (9658)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.76 % (9651)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 Vampire---4 for (2996ds/34Mi)
% 0.56/0.76 % (9653)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76 % (9652)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 Vampire---4 for (2996ds/51Mi)
% 0.56/0.76 % (9654)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.76 % (9655)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 Vampire---4 for (2996ds/34Mi)
% 0.56/0.76 % (9657)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 Vampire---4 for (2996ds/83Mi)
% 0.56/0.76 % (9658)Refutation not found, incomplete strategy% (9658)------------------------------
% 0.56/0.76 % (9658)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (9658)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (9658)Memory used [KB]: 994
% 0.56/0.76 % (9658)Time elapsed: 0.003 s
% 0.56/0.76 % (9658)Instructions burned: 4 (million)
% 0.56/0.76 % (9658)------------------------------
% 0.56/0.76 % (9658)------------------------------
% 0.56/0.76 % (9654)Refutation not found, incomplete strategy% (9654)------------------------------
% 0.56/0.76 % (9654)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (9655)Refutation not found, incomplete strategy% (9655)------------------------------
% 0.56/0.76 % (9655)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (9655)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (9655)Memory used [KB]: 981
% 0.56/0.76 % (9655)Time elapsed: 0.004 s
% 0.56/0.76 % (9655)Instructions burned: 5 (million)
% 0.56/0.76 % (9654)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76
% 0.56/0.76 % (9654)Memory used [KB]: 993
% 0.56/0.76 % (9654)Time elapsed: 0.004 s
% 0.56/0.76 % (9654)Instructions burned: 4 (million)
% 0.56/0.76 % (9655)------------------------------
% 0.56/0.76 % (9655)------------------------------
% 0.56/0.77 % (9654)------------------------------
% 0.56/0.77 % (9654)------------------------------
% 0.56/0.77 % (9661)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.56/0.77 % (9661)Refutation not found, incomplete strategy% (9661)------------------------------
% 0.56/0.77 % (9661)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (9661)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (9661)Memory used [KB]: 955
% 0.56/0.77 % (9661)Time elapsed: 0.002 s
% 0.56/0.77 % (9661)Instructions burned: 3 (million)
% 0.56/0.77 % (9661)------------------------------
% 0.56/0.77 % (9661)------------------------------
% 0.56/0.77 % (9651)Refutation not found, incomplete strategy% (9651)------------------------------
% 0.56/0.77 % (9651)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (9651)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.77
% 0.56/0.77 % (9653)First to succeed.
% 0.56/0.77 % (9651)Memory used [KB]: 1061
% 0.56/0.77 % (9651)Time elapsed: 0.006 s
% 0.56/0.77 % (9651)Instructions burned: 9 (million)
% 0.56/0.77 % (9651)------------------------------
% 0.56/0.77 % (9651)------------------------------
% 0.56/0.77 % (9657)Also succeeded, but the first one will report.
% 0.56/0.77 % (9653)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9607"
% 0.56/0.77 % (9663)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.56/0.77 % (9666)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.56/0.77 % (9664)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.56/0.77 % (9653)Refutation found. Thanks to Tanya!
% 0.56/0.77 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.77 % (9653)------------------------------
% 0.56/0.77 % (9653)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77 % (9653)Termination reason: Refutation
% 0.56/0.77
% 0.56/0.77 % (9653)Memory used [KB]: 1080
% 0.56/0.77 % (9653)Time elapsed: 0.008 s
% 0.56/0.77 % (9653)Instructions burned: 11 (million)
% 0.56/0.77 % (9607)Success in time 0.392 s
% 0.56/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------