TSTP Solution File: MGT037-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT037-1 : 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 : n026.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 07:56:44 EDT 2024
% Result : Unsatisfiable 0.56s 0.75s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 33
% Syntax : Number of formulae : 109 ( 12 unt; 0 def)
% Number of atoms : 340 ( 45 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 443 ( 212 ~; 222 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 9 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f400,plain,
$false,
inference(avatar_sat_refutation,[],[f82,f106,f267,f270,f286,f304,f332,f365,f382,f387,f399]) ).
fof(f399,plain,
( ~ spl1_17
| ~ spl1_18 ),
inference(avatar_contradiction_clause,[],[f398]) ).
fof(f398,plain,
( $false
| ~ spl1_17
| ~ spl1_18 ),
inference(subsumption_resolution,[],[f397,f24]) ).
fof(f24,axiom,
environment(sk3),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',prove_t6_51) ).
fof(f397,plain,
( ~ environment(sk3)
| ~ spl1_17
| ~ spl1_18 ),
inference(subsumption_resolution,[],[f396,f50]) ).
fof(f50,plain,
in_environment(sk3,sk1(sk4,sk3)),
inference(unit_resulting_resolution,[],[f24,f26,f34,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( in_environment(X0,sk1(X1,X0))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_previous_negative_growth_29) ).
fof(f34,plain,
zero = cardinality_at_time(efficient_producers,sk4),
inference(subsumption_resolution,[],[f33,f24]) ).
fof(f33,plain,
( zero = cardinality_at_time(efficient_producers,sk4)
| ~ environment(sk3) ),
inference(subsumption_resolution,[],[f32,f27]) ).
fof(f27,axiom,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',prove_t6_54) ).
fof(f32,plain,
( zero = cardinality_at_time(efficient_producers,sk4)
| greater(cardinality_at_time(efficient_producers,sk4),zero)
| ~ environment(sk3) ),
inference(resolution,[],[f25,f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| cardinality_at_time(efficient_producers,X1) = zero
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_efficient_producers_exist_40) ).
fof(f25,axiom,
in_environment(sk3,sk4),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',prove_t6_52) ).
fof(f26,axiom,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',prove_t6_53) ).
fof(f396,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ spl1_17
| ~ spl1_18 ),
inference(subsumption_resolution,[],[f395,f374]) ).
fof(f374,plain,
( ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ spl1_18 ),
inference(unit_resulting_resolution,[],[f366,f14]) ).
fof(f14,axiom,
! [X0] :
( ~ constant(X0)
| ~ decreases(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_constant_not_decrease_41) ).
fof(f366,plain,
( constant(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ spl1_18 ),
inference(unit_resulting_resolution,[],[f24,f50,f263,f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ~ constant(resources(X0,X1))
| constant(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',a6_47) ).
fof(f263,plain,
( constant(resources(sk3,sk1(sk4,sk3)))
| ~ spl1_18 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl1_18
<=> constant(resources(sk3,sk1(sk4,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_18])]) ).
fof(f395,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ spl1_17 ),
inference(subsumption_resolution,[],[f394,f52]) ).
fof(f52,plain,
greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))),
inference(unit_resulting_resolution,[],[f24,f26,f34,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( greater(zero,growth_rate(efficient_producers,sk1(X1,X0)))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_previous_negative_growth_31) ).
fof(f394,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ spl1_17 ),
inference(superposition,[],[f8,f256]) ).
fof(f256,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| ~ spl1_17 ),
inference(avatar_component_clause,[],[f254]) ).
fof(f254,plain,
( spl1_17
<=> efficient_producers = sk2(sk1(sk4,sk3),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_17])]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(zero,growth_rate(sk2(X1,X0),X1))
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_non_decreasing_35) ).
fof(f387,plain,
( spl1_16
| spl1_17
| ~ spl1_18 ),
inference(avatar_split_clause,[],[f386,f261,f254,f250]) ).
fof(f250,plain,
( spl1_16
<=> first_movers = sk2(sk1(sk4,sk3),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_16])]) ).
fof(f386,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| first_movers = sk2(sk1(sk4,sk3),sk3)
| ~ spl1_18 ),
inference(subsumption_resolution,[],[f385,f50]) ).
fof(f385,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| first_movers = sk2(sk1(sk4,sk3),sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ spl1_18 ),
inference(subsumption_resolution,[],[f379,f24]) ).
fof(f379,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| ~ environment(sk3)
| first_movers = sk2(sk1(sk4,sk3),sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ spl1_18 ),
inference(resolution,[],[f374,f235]) ).
fof(f235,plain,
! [X0,X1] :
( decreases(number_of_organizations(X1,X0))
| efficient_producers = sk2(X0,X1)
| ~ environment(X1)
| first_movers = sk2(X0,X1)
| ~ in_environment(X1,X0) ),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( first_movers = sk2(X0,X1)
| efficient_producers = sk2(X0,X1)
| ~ environment(X1)
| decreases(number_of_organizations(X1,X0))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| decreases(number_of_organizations(X1,X0))
| ~ in_environment(X1,X0)
| ~ environment(X1) ),
inference(resolution,[],[f95,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( subpopulation(sk2(X1,X0),X0,X1)
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_non_decreasing_33) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ subpopulation(sk2(X0,X1),X2,X0)
| first_movers = sk2(X0,X1)
| efficient_producers = sk2(X0,X1)
| ~ environment(X2)
| decreases(number_of_organizations(X1,X0))
| ~ in_environment(X1,X0)
| ~ environment(X1) ),
inference(resolution,[],[f23,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( greater(cardinality_at_time(sk2(X1,X0),X1),zero)
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_non_decreasing_34) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X1,X2),zero)
| efficient_producers = X1
| first_movers = X1
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',a9_50) ).
fof(f382,plain,
( ~ spl1_7
| ~ spl1_16
| ~ spl1_18 ),
inference(avatar_contradiction_clause,[],[f381]) ).
fof(f381,plain,
( $false
| ~ spl1_7
| ~ spl1_16
| ~ spl1_18 ),
inference(subsumption_resolution,[],[f380,f345]) ).
fof(f345,plain,
( greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| ~ spl1_7 ),
inference(unit_resulting_resolution,[],[f22,f52,f104,f29]) ).
fof(f29,plain,
! [X2,X3,X1] :
( ~ greater(resilience(X3),resilience(X2))
| ~ greater(zero,growth_rate(X3,X1))
| greater(zero,growth_rate(X2,X1))
| ~ sP0(X1) ),
inference(general_splitting,[],[f21,f28_D]) ).
fof(f28,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| sP0(X1) ),
inference(cnf_transformation,[],[f28_D]) ).
fof(f28_D,plain,
! [X1] :
( ! [X0] :
( ~ in_environment(X0,X1)
| ~ environment(X0) )
<=> ~ sP0(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ greater(zero,growth_rate(X3,X1))
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',a12_48) ).
fof(f104,plain,
( sP0(sk1(sk4,sk3))
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl1_7
<=> sP0(sk1(sk4,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f22,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',a2_49) ).
fof(f380,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| ~ spl1_16
| ~ spl1_18 ),
inference(forward_demodulation,[],[f378,f252]) ).
fof(f252,plain,
( first_movers = sk2(sk1(sk4,sk3),sk3)
| ~ spl1_16 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f378,plain,
( ~ greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)))
| ~ spl1_18 ),
inference(unit_resulting_resolution,[],[f24,f50,f374,f8]) ).
fof(f365,plain,
( ~ spl1_10
| ~ spl1_17 ),
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| ~ spl1_10
| ~ spl1_17 ),
inference(subsumption_resolution,[],[f363,f24]) ).
fof(f363,plain,
( ~ environment(sk3)
| ~ spl1_10
| ~ spl1_17 ),
inference(subsumption_resolution,[],[f362,f50]) ).
fof(f362,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ spl1_10
| ~ spl1_17 ),
inference(subsumption_resolution,[],[f361,f271]) ).
fof(f271,plain,
( ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ spl1_10 ),
inference(unit_resulting_resolution,[],[f24,f50,f128,f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ~ decreases(resources(X0,X1))
| ~ decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',a6_46) ).
fof(f128,plain,
( decreases(resources(sk3,sk1(sk4,sk3)))
| ~ spl1_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f126,plain,
( spl1_10
<=> decreases(resources(sk3,sk1(sk4,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_10])]) ).
fof(f361,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ spl1_17 ),
inference(subsumption_resolution,[],[f358,f52]) ).
fof(f358,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ spl1_17 ),
inference(superposition,[],[f8,f256]) ).
fof(f332,plain,
spl1_7,
inference(avatar_split_clause,[],[f314,f103]) ).
fof(f314,plain,
sP0(sk1(sk4,sk3)),
inference(unit_resulting_resolution,[],[f24,f50,f28]) ).
fof(f304,plain,
( ~ spl1_7
| ~ spl1_10
| ~ spl1_16 ),
inference(avatar_split_clause,[],[f303,f250,f126,f103]) ).
fof(f303,plain,
( ~ sP0(sk1(sk4,sk3))
| ~ spl1_10
| ~ spl1_16 ),
inference(subsumption_resolution,[],[f300,f52]) ).
fof(f300,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| ~ sP0(sk1(sk4,sk3))
| ~ spl1_10
| ~ spl1_16 ),
inference(resolution,[],[f296,f98]) ).
fof(f98,plain,
! [X0] :
( greater(zero,growth_rate(first_movers,X0))
| ~ greater(zero,growth_rate(efficient_producers,X0))
| ~ sP0(X0) ),
inference(resolution,[],[f29,f22]) ).
fof(f296,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| ~ spl1_10
| ~ spl1_16 ),
inference(subsumption_resolution,[],[f295,f24]) ).
fof(f295,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| ~ environment(sk3)
| ~ spl1_10
| ~ spl1_16 ),
inference(subsumption_resolution,[],[f294,f50]) ).
fof(f294,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ spl1_10
| ~ spl1_16 ),
inference(subsumption_resolution,[],[f290,f271]) ).
fof(f290,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ spl1_16 ),
inference(superposition,[],[f8,f252]) ).
fof(f286,plain,
( spl1_16
| spl1_17
| ~ spl1_10 ),
inference(avatar_split_clause,[],[f285,f126,f254,f250]) ).
fof(f285,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| first_movers = sk2(sk1(sk4,sk3),sk3)
| ~ spl1_10 ),
inference(subsumption_resolution,[],[f284,f50]) ).
fof(f284,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| first_movers = sk2(sk1(sk4,sk3),sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ spl1_10 ),
inference(subsumption_resolution,[],[f283,f24]) ).
fof(f283,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| ~ environment(sk3)
| first_movers = sk2(sk1(sk4,sk3),sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ spl1_10 ),
inference(resolution,[],[f271,f235]) ).
fof(f270,plain,
( spl1_18
| spl1_11
| spl1_5 ),
inference(avatar_split_clause,[],[f269,f75,f130,f261]) ).
fof(f130,plain,
( spl1_11
<=> greater(equilibrium(sk3),sk1(sk4,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_11])]) ).
fof(f75,plain,
( spl1_5
<=> zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f269,plain,
( greater(equilibrium(sk3),sk1(sk4,sk3))
| constant(resources(sk3,sk1(sk4,sk3)))
| spl1_5 ),
inference(subsumption_resolution,[],[f268,f24]) ).
fof(f268,plain,
( greater(equilibrium(sk3),sk1(sk4,sk3))
| constant(resources(sk3,sk1(sk4,sk3)))
| ~ environment(sk3)
| spl1_5 ),
inference(subsumption_resolution,[],[f136,f50]) ).
fof(f136,plain,
( greater(equilibrium(sk3),sk1(sk4,sk3))
| constant(resources(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| spl1_5 ),
inference(resolution,[],[f17,f94]) ).
fof(f94,plain,
( greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero)
| spl1_5 ),
inference(unit_resulting_resolution,[],[f24,f50,f91,f18]) ).
fof(f18,axiom,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',a1_45) ).
fof(f91,plain,
( greater_or_equal(sk1(sk4,sk3),appear(an_organisation,sk3))
| spl1_5 ),
inference(unit_resulting_resolution,[],[f24,f50,f90,f15]) ).
fof(f15,axiom,
! [X0,X1] :
( greater(appear(an_organisation,X0),X1)
| greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_environment_inequality_42) ).
fof(f90,plain,
( ~ greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| spl1_5 ),
inference(unit_resulting_resolution,[],[f24,f50,f77,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(appear(an_organisation,X0),X1)
| zero = number_of_organizations(X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_start_of_organizations_32) ).
fof(f77,plain,
( zero != number_of_organizations(sk3,sk1(sk4,sk3))
| spl1_5 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f17,axiom,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',a3_44) ).
fof(f267,plain,
( ~ spl1_11
| spl1_10
| spl1_5 ),
inference(avatar_split_clause,[],[f266,f75,f126,f130]) ).
fof(f266,plain,
( decreases(resources(sk3,sk1(sk4,sk3)))
| ~ greater(equilibrium(sk3),sk1(sk4,sk3))
| spl1_5 ),
inference(subsumption_resolution,[],[f265,f24]) ).
fof(f265,plain,
( decreases(resources(sk3,sk1(sk4,sk3)))
| ~ environment(sk3)
| ~ greater(equilibrium(sk3),sk1(sk4,sk3))
| spl1_5 ),
inference(subsumption_resolution,[],[f169,f50]) ).
fof(f169,plain,
( decreases(resources(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ greater(equilibrium(sk3),sk1(sk4,sk3))
| spl1_5 ),
inference(resolution,[],[f111,f91]) ).
fof(f111,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(an_organisation,X0))
| decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(equilibrium(X0),X1) ),
inference(duplicate_literal_removal,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(resolution,[],[f16,f18]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',a3_43) ).
fof(f106,plain,
( ~ spl1_6
| ~ spl1_7 ),
inference(avatar_split_clause,[],[f101,f103,f79]) ).
fof(f79,plain,
( spl1_6
<=> zero = cardinality_at_time(first_movers,sk1(sk4,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f101,plain,
( ~ sP0(sk1(sk4,sk3))
| zero != cardinality_at_time(first_movers,sk1(sk4,sk3)) ),
inference(resolution,[],[f99,f52]) ).
fof(f99,plain,
! [X0] :
( ~ greater(zero,growth_rate(efficient_producers,X0))
| ~ sP0(X0)
| zero != cardinality_at_time(first_movers,X0) ),
inference(resolution,[],[f98,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,X1))
| zero != cardinality_at_time(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_empty_not_decreasing_39) ).
fof(f82,plain,
( ~ spl1_5
| spl1_6 ),
inference(avatar_split_clause,[],[f73,f79,f75]) ).
fof(f73,plain,
( zero = cardinality_at_time(first_movers,sk1(sk4,sk3))
| zero != number_of_organizations(sk3,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f72,f24]) ).
fof(f72,plain,
( zero = cardinality_at_time(first_movers,sk1(sk4,sk3))
| zero != number_of_organizations(sk3,sk1(sk4,sk3))
| ~ environment(sk3) ),
inference(subsumption_resolution,[],[f71,f50]) ).
fof(f71,plain,
( zero = cardinality_at_time(first_movers,sk1(sk4,sk3))
| zero != number_of_organizations(sk3,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3) ),
inference(resolution,[],[f56,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ subpopulation(X2,X0,X1)
| zero = cardinality_at_time(X2,X1)
| zero != number_of_organizations(X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_no_members_36) ).
fof(f56,plain,
subpopulation(first_movers,sk3,sk1(sk4,sk3)),
inference(unit_resulting_resolution,[],[f24,f50,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.dGg8JI8AkW/Vampire---4.8_4390',mp_subpopulations_37) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT037-1 : 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 : n026.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 20:03:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37 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.dGg8JI8AkW/Vampire---4.8_4390
% 0.56/0.75 % (4596)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)
% 0.56/0.75 % (4595)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)
% 0.56/0.75 % (4589)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)
% 0.56/0.75 % (4591)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (4592)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)
% 0.56/0.75 % (4594)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)
% 0.56/0.75 % (4593)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)
% 0.56/0.75 % (4596)Refutation not found, incomplete strategy% (4596)------------------------------
% 0.56/0.75 % (4596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (4596)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (4596)Memory used [KB]: 978
% 0.56/0.75 % (4596)Time elapsed: 0.002 s
% 0.56/0.75 % (4596)Instructions burned: 3 (million)
% 0.56/0.75 % (4590)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)
% 0.56/0.75 % (4596)------------------------------
% 0.56/0.75 % (4596)------------------------------
% 0.56/0.75 % (4593)Refutation not found, incomplete strategy% (4593)------------------------------
% 0.56/0.75 % (4593)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (4593)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (4593)Memory used [KB]: 1047
% 0.56/0.75 % (4593)Time elapsed: 0.003 s
% 0.56/0.75 % (4593)Instructions burned: 3 (million)
% 0.56/0.75 % (4593)------------------------------
% 0.56/0.75 % (4593)------------------------------
% 0.56/0.75 % (4594)Refutation not found, incomplete strategy% (4594)------------------------------
% 0.56/0.75 % (4594)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (4594)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (4594)Memory used [KB]: 1046
% 0.56/0.75 % (4594)Time elapsed: 0.004 s
% 0.56/0.75 % (4594)Instructions burned: 4 (million)
% 0.56/0.75 % (4599)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)
% 0.56/0.75 % (4592)Refutation not found, incomplete strategy% (4592)------------------------------
% 0.56/0.75 % (4592)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (4594)------------------------------
% 0.56/0.75 % (4594)------------------------------
% 0.56/0.75 % (4592)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (4592)Memory used [KB]: 1057
% 0.56/0.75 % (4592)Time elapsed: 0.005 s
% 0.56/0.75 % (4592)Instructions burned: 5 (million)
% 0.56/0.75 % (4592)------------------------------
% 0.56/0.75 % (4592)------------------------------
% 0.56/0.75 % (4595)First to succeed.
% 0.56/0.75 % (4599)Refutation not found, incomplete strategy% (4599)------------------------------
% 0.56/0.75 % (4599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (4599)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (4599)Memory used [KB]: 1042
% 0.56/0.75 % (4599)Time elapsed: 0.003 s
% 0.56/0.75 % (4599)Instructions burned: 6 (million)
% 0.56/0.75 % (4599)------------------------------
% 0.56/0.75 % (4599)------------------------------
% 0.56/0.75 % (4595)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4554"
% 0.56/0.75 % (4589)Refutation not found, incomplete strategy% (4589)------------------------------
% 0.56/0.75 % (4589)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (4589)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75
% 0.56/0.75 % (4589)Memory used [KB]: 1090
% 0.56/0.75 % (4589)Time elapsed: 0.007 s
% 0.56/0.75 % (4589)Instructions burned: 8 (million)
% 0.56/0.75 % (4595)Refutation found. Thanks to Tanya!
% 0.56/0.75 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.76 % (4595)------------------------------
% 0.56/0.76 % (4595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76 % (4595)Termination reason: Refutation
% 0.56/0.76
% 0.56/0.76 % (4595)Memory used [KB]: 1199
% 0.56/0.76 % (4595)Time elapsed: 0.008 s
% 0.56/0.76 % (4595)Instructions burned: 19 (million)
% 0.56/0.76 % (4554)Success in time 0.382 s
% 0.56/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------