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 : n028.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 : Wed May 1 03:21:58 EDT 2024
% Result : Unsatisfiable 0.57s 0.76s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 37
% Syntax : Number of formulae : 130 ( 7 unt; 0 def)
% Number of atoms : 452 ( 45 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 614 ( 292 ~; 309 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 14 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 90 ( 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f347,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f117,f123,f129,f137,f174,f258,f285,f293,f314,f322,f326,f334,f346]) ).
fof(f346,plain,
( ~ spl0_17
| ~ spl0_26 ),
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f345,plain,
( $false
| ~ spl0_17
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f344,f253]) ).
fof(f253,plain,
( greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f252,plain,
( spl0_17
<=> greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f344,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| ~ spl0_26 ),
inference(resolution,[],[f325,f22]) ).
fof(f22,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',a2_49) ).
fof(f325,plain,
( ! [X0] :
( ~ greater(resilience(X0),resilience(first_movers))
| ~ greater(zero,growth_rate(X0,sk1(sk4,sk3))) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f324,plain,
( spl0_26
<=> ! [X0] :
( ~ greater(resilience(X0),resilience(first_movers))
| ~ greater(zero,growth_rate(X0,sk1(sk4,sk3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f334,plain,
( spl0_8
| ~ spl0_17
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f333]) ).
fof(f333,plain,
( $false
| spl0_8
| ~ spl0_17
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f329,f253]) ).
fof(f329,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| spl0_8
| ~ spl0_25 ),
inference(backward_demodulation,[],[f116,f313]) ).
fof(f313,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f311,plain,
( spl0_25
<=> efficient_producers = sk2(sk1(sk4,sk3),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f116,plain,
( ~ greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)))
| spl0_8 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_8
<=> greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f326,plain,
( spl0_18
| spl0_26
| spl0_8
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f318,f307,f114,f324,f256]) ).
fof(f256,plain,
( spl0_18
<=> ! [X0] :
( ~ in_environment(X0,sk1(sk4,sk3))
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f307,plain,
( spl0_24
<=> first_movers = sk2(sk1(sk4,sk3),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f318,plain,
( ! [X0,X1] :
( ~ greater(resilience(X0),resilience(first_movers))
| ~ greater(zero,growth_rate(X0,sk1(sk4,sk3)))
| ~ in_environment(X1,sk1(sk4,sk3))
| ~ environment(X1) )
| spl0_8
| ~ spl0_24 ),
inference(resolution,[],[f315,f21]) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( greater(zero,growth_rate(X2,X1))
| ~ greater(resilience(X3),resilience(X2))
| ~ greater(zero,growth_rate(X3,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',a12_48) ).
fof(f315,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| spl0_8
| ~ spl0_24 ),
inference(backward_demodulation,[],[f116,f309]) ).
fof(f309,plain,
( first_movers = sk2(sk1(sk4,sk3),sk3)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f322,plain,
( ~ spl0_7
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f321,plain,
( $false
| ~ spl0_7
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f320,f111]) ).
fof(f111,plain,
( in_environment(sk3,sk1(sk4,sk3))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl0_7
<=> in_environment(sk3,sk1(sk4,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f320,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| ~ spl0_18 ),
inference(resolution,[],[f257,f24]) ).
fof(f24,axiom,
environment(sk3),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',prove_t6_51) ).
fof(f257,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sk1(sk4,sk3)) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f314,plain,
( spl0_24
| spl0_25
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f305,f126,f120,f311,f307]) ).
fof(f120,plain,
( spl0_9
<=> greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f126,plain,
( spl0_10
<=> subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f305,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| first_movers = sk2(sk1(sk4,sk3),sk3)
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f304,f128]) ).
fof(f128,plain,
( subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f304,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| ~ subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))
| first_movers = sk2(sk1(sk4,sk3),sk3)
| ~ spl0_9 ),
inference(resolution,[],[f122,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(X0,X1),zero)
| efficient_producers = X0
| ~ subpopulation(X0,sk3,X1)
| first_movers = X0 ),
inference(resolution,[],[f23,f24]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| efficient_producers = X1
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| first_movers = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',a9_50) ).
fof(f122,plain,
( greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f293,plain,
( ~ spl0_2
| spl0_17 ),
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| ~ spl0_2
| spl0_17 ),
inference(subsumption_resolution,[],[f291,f24]) ).
fof(f291,plain,
( ~ environment(sk3)
| ~ spl0_2
| spl0_17 ),
inference(subsumption_resolution,[],[f289,f26]) ).
fof(f26,axiom,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',prove_t6_53) ).
fof(f289,plain,
( ~ greater_or_equal(sk4,appear(efficient_producers,sk3))
| ~ environment(sk3)
| ~ spl0_2
| spl0_17 ),
inference(resolution,[],[f254,f48]) ).
fof(f48,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sk1(sk4,X0)))
| ~ greater_or_equal(sk4,appear(efficient_producers,X0))
| ~ environment(X0) )
| ~ spl0_2 ),
inference(trivial_inequality_removal,[],[f47]) ).
fof(f47,plain,
( ! [X0] :
( zero != zero
| greater(zero,growth_rate(efficient_producers,sk1(sk4,X0)))
| ~ greater_or_equal(sk4,appear(efficient_producers,X0))
| ~ environment(X0) )
| ~ spl0_2 ),
inference(superposition,[],[f4,f35]) ).
fof(f35,plain,
( zero = cardinality_at_time(efficient_producers,sk4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl0_2
<=> zero = cardinality_at_time(efficient_producers,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f4,axiom,
! [X0,X1] :
( cardinality_at_time(efficient_producers,X1) != zero
| greater(zero,growth_rate(efficient_producers,sk1(X1,X0)))
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',mp_previous_negative_growth_31) ).
fof(f254,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| spl0_17 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f285,plain,
( spl0_6
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f189,f110,f97,f101]) ).
fof(f101,plain,
( spl0_6
<=> zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f97,plain,
( spl0_5
<=> decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f189,plain,
( ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ spl0_7 ),
inference(resolution,[],[f111,f71]) ).
fof(f71,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| ~ decreases(number_of_organizations(sk3,X0))
| zero = number_of_organizations(sk3,X0) ),
inference(subsumption_resolution,[],[f70,f14]) ).
fof(f14,axiom,
! [X0] :
( ~ constant(X0)
| ~ decreases(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',mp_constant_not_decrease_41) ).
fof(f70,plain,
! [X0] :
( ~ decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| zero = number_of_organizations(sk3,X0)
| constant(number_of_organizations(sk3,X0)) ),
inference(subsumption_resolution,[],[f69,f24]) ).
fof(f69,plain,
! [X0] :
( ~ decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| zero = number_of_organizations(sk3,X0)
| constant(number_of_organizations(sk3,X0))
| ~ environment(sk3) ),
inference(duplicate_literal_removal,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ~ decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| zero = number_of_organizations(sk3,X0)
| constant(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ environment(sk3) ),
inference(resolution,[],[f66,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.MiiYkNKSum/Vampire---4.8_24552',a6_47) ).
fof(f66,plain,
! [X0] :
( constant(resources(sk3,X0))
| ~ decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| zero = number_of_organizations(sk3,X0) ),
inference(subsumption_resolution,[],[f65,f24]) ).
fof(f65,plain,
! [X0] :
( constant(resources(sk3,X0))
| ~ decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| zero = number_of_organizations(sk3,X0)
| ~ environment(sk3) ),
inference(duplicate_literal_removal,[],[f64]) ).
fof(f64,plain,
! [X0] :
( constant(resources(sk3,X0))
| ~ decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| zero = number_of_organizations(sk3,X0)
| ~ in_environment(sk3,X0)
| ~ environment(sk3) ),
inference(resolution,[],[f63,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.MiiYkNKSum/Vampire---4.8_24552',mp_start_of_organizations_32) ).
fof(f63,plain,
! [X0] :
( greater(appear(an_organisation,sk3),X0)
| constant(resources(sk3,X0))
| ~ decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0) ),
inference(subsumption_resolution,[],[f62,f24]) ).
fof(f62,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| constant(resources(sk3,X0))
| ~ decreases(number_of_organizations(sk3,X0))
| greater(appear(an_organisation,sk3),X0)
| ~ environment(sk3) ),
inference(duplicate_literal_removal,[],[f61]) ).
fof(f61,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| constant(resources(sk3,X0))
| ~ decreases(number_of_organizations(sk3,X0))
| greater(appear(an_organisation,sk3),X0)
| ~ in_environment(sk3,X0)
| ~ environment(sk3) ),
inference(resolution,[],[f60,f15]) ).
fof(f15,axiom,
! [X0,X1] :
( greater_or_equal(X1,appear(an_organisation,X0))
| greater(appear(an_organisation,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',mp_environment_inequality_42) ).
fof(f60,plain,
! [X0] :
( ~ greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0)
| constant(resources(sk3,X0))
| ~ decreases(number_of_organizations(sk3,X0)) ),
inference(subsumption_resolution,[],[f59,f24]) ).
fof(f59,plain,
! [X0] :
( ~ greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0)
| constant(resources(sk3,X0))
| ~ decreases(number_of_organizations(sk3,X0))
| ~ environment(sk3) ),
inference(duplicate_literal_removal,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ~ greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0)
| constant(resources(sk3,X0))
| ~ decreases(number_of_organizations(sk3,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0)
| ~ environment(sk3) ),
inference(resolution,[],[f57,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.MiiYkNKSum/Vampire---4.8_24552',a1_45) ).
fof(f57,plain,
! [X0] :
( ~ greater(number_of_organizations(sk3,X0),zero)
| ~ greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0)
| constant(resources(sk3,X0))
| ~ decreases(number_of_organizations(sk3,X0)) ),
inference(subsumption_resolution,[],[f56,f24]) ).
fof(f56,plain,
! [X0] :
( constant(resources(sk3,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0)
| ~ greater(number_of_organizations(sk3,X0),zero)
| ~ decreases(number_of_organizations(sk3,X0))
| ~ environment(sk3) ),
inference(duplicate_literal_removal,[],[f55]) ).
fof(f55,plain,
! [X0] :
( constant(resources(sk3,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0)
| ~ greater(number_of_organizations(sk3,X0),zero)
| ~ decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ environment(sk3) ),
inference(resolution,[],[f53,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.MiiYkNKSum/Vampire---4.8_24552',a6_46) ).
fof(f53,plain,
! [X0] :
( decreases(resources(sk3,X0))
| constant(resources(sk3,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0)
| ~ greater(number_of_organizations(sk3,X0),zero) ),
inference(subsumption_resolution,[],[f52,f24]) ).
fof(f52,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| constant(resources(sk3,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sk3))
| decreases(resources(sk3,X0))
| ~ greater(number_of_organizations(sk3,X0),zero)
| ~ environment(sk3) ),
inference(duplicate_literal_removal,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| constant(resources(sk3,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sk3))
| decreases(resources(sk3,X0))
| ~ greater(number_of_organizations(sk3,X0),zero)
| ~ in_environment(sk3,X0)
| ~ environment(sk3) ),
inference(resolution,[],[f46,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1))
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',a3_43) ).
fof(f46,plain,
! [X0] :
( greater(equilibrium(sk3),X0)
| ~ in_environment(sk3,X0)
| constant(resources(sk3,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sk3)) ),
inference(resolution,[],[f45,f24]) ).
fof(f45,plain,
! [X0,X1] :
( ~ environment(X0)
| constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| greater(equilibrium(X0),X1)
| ~ greater_or_equal(X1,appear(an_organisation,X0)) ),
inference(duplicate_literal_removal,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( greater(equilibrium(X0),X1)
| constant(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,[],[f17,f18]) ).
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.MiiYkNKSum/Vampire---4.8_24552',a3_44) ).
fof(f258,plain,
( ~ spl0_17
| spl0_18
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f250,f110,f101,f256,f252]) ).
fof(f250,plain,
( ! [X0] :
( ~ in_environment(X0,sk1(sk4,sk3))
| ~ environment(X0)
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) )
| ~ spl0_6
| ~ spl0_7 ),
inference(trivial_inequality_removal,[],[f248]) ).
fof(f248,plain,
( ! [X0] :
( zero != zero
| ~ in_environment(X0,sk1(sk4,sk3))
| ~ environment(X0)
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) )
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f54,f244]) ).
fof(f244,plain,
( zero = cardinality_at_time(first_movers,sk1(sk4,sk3))
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f243,f24]) ).
fof(f243,plain,
( zero = cardinality_at_time(first_movers,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f241,f111]) ).
fof(f241,plain,
( zero = cardinality_at_time(first_movers,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f185,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',mp_subpopulations_37) ).
fof(f185,plain,
( ! [X0] :
( ~ subpopulation(X0,sk3,sk1(sk4,sk3))
| zero = cardinality_at_time(X0,sk1(sk4,sk3)) )
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f184,f24]) ).
fof(f184,plain,
( ! [X0] :
( ~ subpopulation(X0,sk3,sk1(sk4,sk3))
| zero = cardinality_at_time(X0,sk1(sk4,sk3))
| ~ environment(sk3) )
| ~ spl0_6
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f183,f111]) ).
fof(f183,plain,
( ! [X0] :
( ~ subpopulation(X0,sk3,sk1(sk4,sk3))
| zero = cardinality_at_time(X0,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3) )
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f177]) ).
fof(f177,plain,
( ! [X0] :
( zero != zero
| ~ subpopulation(X0,sk3,sk1(sk4,sk3))
| zero = cardinality_at_time(X0,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3) )
| ~ spl0_6 ),
inference(superposition,[],[f9,f103]) ).
fof(f103,plain,
( zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( zero != number_of_organizations(X0,X1)
| ~ subpopulation(X2,X0,X1)
| zero = cardinality_at_time(X2,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',mp_no_members_36) ).
fof(f54,plain,
! [X0,X1] :
( zero != cardinality_at_time(first_movers,X0)
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ greater(zero,growth_rate(efficient_producers,X0)) ),
inference(resolution,[],[f50,f22]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ greater(resilience(X0),resilience(X1))
| ~ greater(zero,growth_rate(X0,X2))
| ~ in_environment(X3,X2)
| ~ environment(X3)
| zero != cardinality_at_time(X1,X2) ),
inference(resolution,[],[f21,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,X1))
| zero != cardinality_at_time(X0,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',mp_empty_not_decreasing_39) ).
fof(f174,plain,
( ~ spl0_2
| spl0_7 ),
inference(avatar_contradiction_clause,[],[f173]) ).
fof(f173,plain,
( $false
| ~ spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f172,f24]) ).
fof(f172,plain,
( ~ environment(sk3)
| ~ spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f171,f26]) ).
fof(f171,plain,
( ~ greater_or_equal(sk4,appear(efficient_producers,sk3))
| ~ environment(sk3)
| ~ spl0_2
| spl0_7 ),
inference(subsumption_resolution,[],[f170,f35]) ).
fof(f170,plain,
( zero != cardinality_at_time(efficient_producers,sk4)
| ~ greater_or_equal(sk4,appear(efficient_producers,sk3))
| ~ environment(sk3)
| spl0_7 ),
inference(resolution,[],[f112,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.MiiYkNKSum/Vampire---4.8_24552',mp_previous_negative_growth_29) ).
fof(f112,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| spl0_7 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f137,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f136]) ).
fof(f136,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f135,f24]) ).
fof(f135,plain,
( ~ environment(sk3)
| ~ spl0_1 ),
inference(resolution,[],[f31,f25]) ).
fof(f25,axiom,
in_environment(sk3,sk4),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',prove_t6_52) ).
fof(f31,plain,
( ! [X0] :
( ~ in_environment(X0,sk4)
| ~ environment(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl0_1
<=> ! [X0] :
( ~ in_environment(X0,sk4)
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f129,plain,
( ~ spl0_7
| spl0_10
| spl0_5 ),
inference(avatar_split_clause,[],[f124,f97,f126,f110]) ).
fof(f124,plain,
( subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| spl0_5 ),
inference(subsumption_resolution,[],[f107,f24]) ).
fof(f107,plain,
( subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| spl0_5 ),
inference(resolution,[],[f99,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( decreases(number_of_organizations(X0,X1))
| subpopulation(sk2(X1,X0),X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',mp_non_decreasing_33) ).
fof(f99,plain,
( ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| spl0_5 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f123,plain,
( ~ spl0_7
| spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f118,f97,f120,f110]) ).
fof(f118,plain,
( greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero)
| ~ in_environment(sk3,sk1(sk4,sk3))
| spl0_5 ),
inference(subsumption_resolution,[],[f106,f24]) ).
fof(f106,plain,
( greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero)
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| spl0_5 ),
inference(resolution,[],[f99,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( decreases(number_of_organizations(X0,X1))
| greater(cardinality_at_time(sk2(X1,X0),X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',mp_non_decreasing_34) ).
fof(f117,plain,
( ~ spl0_7
| ~ spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f108,f97,f114,f110]) ).
fof(f108,plain,
( ~ greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| spl0_5 ),
inference(subsumption_resolution,[],[f105,f24]) ).
fof(f105,plain,
( ~ greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| spl0_5 ),
inference(resolution,[],[f99,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( decreases(number_of_organizations(X0,X1))
| ~ greater(zero,growth_rate(sk2(X1,X0),X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',mp_non_decreasing_35) ).
fof(f36,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f28,f33,f30]) ).
fof(f28,plain,
! [X0] :
( zero = cardinality_at_time(efficient_producers,sk4)
| ~ in_environment(X0,sk4)
| ~ environment(X0) ),
inference(resolution,[],[f13,f27]) ).
fof(f27,axiom,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',prove_t6_54) ).
fof(f13,axiom,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| cardinality_at_time(efficient_producers,X1) = zero
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.MiiYkNKSum/Vampire---4.8_24552',mp_efficient_producers_exist_40) ).
%------------------------------------------------------------------------------
%----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
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 18:29:30 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 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.MiiYkNKSum/Vampire---4.8_24552
% 0.57/0.75 % (24768)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)
% 0.57/0.75 % (24771)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)
% 0.57/0.75 % (24764)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)
% 0.57/0.75 % (24768)Refutation not found, incomplete strategy% (24768)------------------------------
% 0.57/0.75 % (24768)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (24768)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (24768)Memory used [KB]: 983
% 0.57/0.75 % (24768)Time elapsed: 0.002 s
% 0.57/0.75 % (24768)Instructions burned: 3 (million)
% 0.57/0.75 % (24768)------------------------------
% 0.57/0.75 % (24768)------------------------------
% 0.57/0.75 % (24771)Refutation not found, incomplete strategy% (24771)------------------------------
% 0.57/0.75 % (24771)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (24771)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (24771)Memory used [KB]: 977
% 0.57/0.75 % (24771)Time elapsed: 0.002 s
% 0.57/0.75 % (24771)Instructions burned: 3 (million)
% 0.57/0.75 % (24771)------------------------------
% 0.57/0.75 % (24771)------------------------------
% 0.57/0.75 % (24767)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)
% 0.57/0.75 % (24765)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)
% 0.57/0.75 % (24769)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)
% 0.57/0.75 % (24766)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.75 % (24770)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)
% 0.57/0.75 % (24774)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)
% 0.57/0.75 % (24769)Refutation not found, incomplete strategy% (24769)------------------------------
% 0.57/0.75 % (24769)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (24769)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (24769)Memory used [KB]: 1046
% 0.57/0.75 % (24769)Time elapsed: 0.004 s
% 0.57/0.75 % (24769)Instructions burned: 4 (million)
% 0.57/0.75 % (24775)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)
% 0.57/0.75 % (24769)------------------------------
% 0.57/0.75 % (24769)------------------------------
% 0.57/0.75 % (24767)Refutation not found, incomplete strategy% (24767)------------------------------
% 0.57/0.75 % (24767)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.75 % (24767)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.75
% 0.57/0.75 % (24767)Memory used [KB]: 1057
% 0.57/0.75 % (24767)Time elapsed: 0.004 s
% 0.57/0.75 % (24767)Instructions burned: 5 (million)
% 0.57/0.75 % (24767)------------------------------
% 0.57/0.75 % (24767)------------------------------
% 0.57/0.76 % (24774)Refutation not found, incomplete strategy% (24774)------------------------------
% 0.57/0.76 % (24774)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (24774)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (24774)Memory used [KB]: 1042
% 0.57/0.76 % (24774)Time elapsed: 0.003 s
% 0.57/0.76 % (24774)Instructions burned: 6 (million)
% 0.57/0.76 % (24774)------------------------------
% 0.57/0.76 % (24774)------------------------------
% 0.57/0.76 % (24764)Refutation not found, incomplete strategy% (24764)------------------------------
% 0.57/0.76 % (24764)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (24764)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (24764)Memory used [KB]: 1090
% 0.57/0.76 % (24764)Time elapsed: 0.007 s
% 0.57/0.76 % (24764)Instructions burned: 8 (million)
% 0.57/0.76 % (24764)------------------------------
% 0.57/0.76 % (24764)------------------------------
% 0.57/0.76 % (24777)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)
% 0.57/0.76 % (24780)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.57/0.76 % (24778)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)
% 0.57/0.76 % (24775)Refutation not found, incomplete strategy% (24775)------------------------------
% 0.57/0.76 % (24775)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (24775)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (24775)Memory used [KB]: 1137
% 0.57/0.76 % (24775)Time elapsed: 0.006 s
% 0.57/0.76 % (24775)Instructions burned: 16 (million)
% 0.57/0.76 % (24775)------------------------------
% 0.57/0.76 % (24775)------------------------------
% 0.57/0.76 % (24781)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.57/0.76 % (24766)First to succeed.
% 0.57/0.76 % (24783)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.57/0.76 % (24780)Refutation not found, incomplete strategy% (24780)------------------------------
% 0.57/0.76 % (24780)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (24780)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (24780)Memory used [KB]: 1085
% 0.57/0.76 % (24780)Time elapsed: 0.005 s
% 0.57/0.76 % (24780)Instructions burned: 11 (million)
% 0.57/0.76 % (24780)------------------------------
% 0.57/0.76 % (24780)------------------------------
% 0.57/0.76 % (24781)Refutation not found, incomplete strategy% (24781)------------------------------
% 0.57/0.76 % (24781)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.76 % (24781)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76
% 0.57/0.76 % (24781)Memory used [KB]: 978
% 0.57/0.76 % (24781)Time elapsed: 0.003 s
% 0.57/0.76 % (24781)Instructions burned: 3 (million)
% 0.57/0.76 % (24781)------------------------------
% 0.57/0.76 % (24781)------------------------------
% 0.57/0.76 % (24770)Also succeeded, but the first one will report.
% 0.57/0.76 % (24766)Refutation found. Thanks to Tanya!
% 0.57/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.77 % (24766)------------------------------
% 0.57/0.77 % (24766)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.77 % (24766)Termination reason: Refutation
% 0.57/0.77
% 0.57/0.77 % (24766)Memory used [KB]: 1171
% 0.57/0.77 % (24766)Time elapsed: 0.014 s
% 0.57/0.77 % (24766)Instructions burned: 19 (million)
% 0.57/0.77 % (24766)------------------------------
% 0.57/0.77 % (24766)------------------------------
% 0.57/0.77 % (24733)Success in time 0.396 s
% 0.57/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------