TSTP Solution File: MGT028+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n027.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 Aug 31 17:51:27 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 104 ( 4 unt; 0 def)
% Number of atoms : 433 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 541 ( 212 ~; 222 |; 78 &)
% ( 8 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 108 ( 82 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f125,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f67,f73,f76,f79,f81,f101,f104,f111,f121,f124]) ).
fof(f124,plain,
( spl5_1
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f123]) ).
fof(f123,plain,
( $false
| spl5_1
| ~ spl5_6 ),
inference(subsumption_resolution,[],[f122,f43]) ).
fof(f43,plain,
( ~ greater_or_equal(sK0(sK3,sK2(sK3)),sK2(sK3))
| spl5_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl5_1
<=> greater_or_equal(sK0(sK3,sK2(sK3)),sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f122,plain,
( greater_or_equal(sK0(sK3,sK2(sK3)),sK2(sK3))
| ~ spl5_6 ),
inference(resolution,[],[f72,f37]) ).
fof(f37,plain,
in_environment(sK3,sK2(sK3)),
inference(subsumption_resolution,[],[f36,f34]) ).
fof(f34,plain,
environment(sK3),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( stable(sK3)
& environment(sK3)
& ! [X1] :
( ( ~ greater(zero,growth_rate(first_movers,sK4(X1)))
& subpopulations(first_movers,efficient_producers,sK3,sK4(X1))
& greater_or_equal(sK4(X1),X1) )
| ~ greater(X1,appear(efficient_producers,sK3)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f11,f20,f19]) ).
fof(f19,plain,
( ? [X0] :
( stable(X0)
& environment(X0)
& ! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
| ~ greater(X1,appear(efficient_producers,X0)) ) )
=> ( stable(sK3)
& environment(sK3)
& ! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,sK3,X2)
& greater_or_equal(X2,X1) )
| ~ greater(X1,appear(efficient_producers,sK3)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f20,plain,
! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,sK3,X2)
& greater_or_equal(X2,X1) )
=> ( ~ greater(zero,growth_rate(first_movers,sK4(X1)))
& subpopulations(first_movers,efficient_producers,sK3,sK4(X1))
& greater_or_equal(sK4(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] :
( stable(X0)
& environment(X0)
& ! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
| ~ greater(X1,appear(efficient_producers,X0)) ) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( ~ greater(X1,appear(efficient_producers,X0))
| ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) ) )
& stable(X0)
& environment(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( greater(X1,appear(efficient_producers,X0))
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(zero,growth_rate(first_movers,X2)) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,negated_conjecture,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X4] :
( ! [X2] :
( ( greater_or_equal(X2,X4)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(zero,growth_rate(first_movers,X2)) )
& greater(X4,appear(efficient_producers,X0)) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X4] :
( ! [X2] :
( ( greater_or_equal(X2,X4)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(zero,growth_rate(first_movers,X2)) )
& greater(X4,appear(efficient_producers,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10) ).
fof(f36,plain,
( ~ environment(sK3)
| in_environment(sK3,sK2(sK3)) ),
inference(resolution,[],[f28,f35]) ).
fof(f35,plain,
stable(sK3),
inference(cnf_transformation,[],[f21]) ).
fof(f28,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ( ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK2(X0))
| ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) ) )
& in_environment(X0,sK2(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f9,f17]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1)
| ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) ) )
& in_environment(X0,X1) )
=> ( ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK2(X0))
| ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) ) )
& in_environment(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f9,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ? [X1] :
( ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1)
| ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) ) )
& in_environment(X0,X1) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) )
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) ) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X4] :
( in_environment(X0,X4)
& ! [X2] :
( ( greater_or_equal(X2,X4)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11) ).
fof(f72,plain,
( ! [X1] :
( ~ in_environment(sK3,X1)
| greater_or_equal(sK0(sK3,X1),X1) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl5_6
<=> ! [X1] :
( ~ in_environment(sK3,X1)
| greater_or_equal(sK0(sK3,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f121,plain,
( ~ spl5_2
| ~ spl5_3
| spl5_5
| ~ spl5_9 ),
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f120,plain,
( $false
| ~ spl5_2
| ~ spl5_3
| spl5_5
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f119,f65]) ).
fof(f65,plain,
( ~ greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| spl5_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl5_5
<=> greater(zero,growth_rate(first_movers,sK4(sK1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f119,plain,
( greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ spl5_2
| ~ spl5_3
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f116,f58]) ).
fof(f58,plain,
( subpopulations(first_movers,efficient_producers,sK3,sK4(sK1(sK3)))
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl5_3
<=> subpopulations(first_movers,efficient_producers,sK3,sK4(sK1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f116,plain,
( ~ subpopulations(first_movers,efficient_producers,sK3,sK4(sK1(sK3)))
| greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ spl5_2
| ~ spl5_9 ),
inference(resolution,[],[f115,f114]) ).
fof(f114,plain,
( ! [X0] :
( ~ greater_or_equal(X0,sK1(sK3))
| ~ subpopulations(first_movers,efficient_producers,sK3,X0)
| greater(zero,growth_rate(first_movers,X0)) )
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f113,f37]) ).
fof(f113,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK3,X0)
| greater(zero,growth_rate(first_movers,X0))
| ~ greater_or_equal(X0,sK1(sK3))
| ~ in_environment(sK3,sK2(sK3)) )
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f112,f35]) ).
fof(f112,plain,
( ! [X0] :
( ~ greater_or_equal(X0,sK1(sK3))
| ~ subpopulations(first_movers,efficient_producers,sK3,X0)
| ~ stable(sK3)
| greater(zero,growth_rate(first_movers,X0))
| ~ in_environment(sK3,sK2(sK3)) )
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f105,f34]) ).
fof(f105,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,X0))
| ~ environment(sK3)
| ~ subpopulations(first_movers,efficient_producers,sK3,X0)
| ~ stable(sK3)
| ~ greater_or_equal(X0,sK1(sK3))
| ~ in_environment(sK3,sK2(sK3)) )
| ~ spl5_9 ),
inference(resolution,[],[f100,f24]) ).
fof(f24,plain,
! [X0,X1,X4] :
( ~ greater(zero,growth_rate(first_movers,sK0(X0,X1)))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X4)
| ~ greater_or_equal(X4,sK1(X0))
| greater(zero,growth_rate(first_movers,X4)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ( greater_or_equal(sK0(X0,X1),X1)
& ~ greater(zero,growth_rate(first_movers,sK0(X0,X1)))
& subpopulations(first_movers,efficient_producers,X0,sK0(X0,X1)) ) )
| ~ environment(X0)
| ~ stable(X0)
| ( greater(sK1(X0),appear(efficient_producers,X0))
& ! [X4] :
( ~ subpopulations(first_movers,efficient_producers,X0,X4)
| ~ greater_or_equal(X4,sK1(X0))
| greater(zero,growth_rate(first_movers,X4)) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f15,f14]) ).
fof(f14,plain,
! [X0,X1] :
( ? [X2] :
( greater_or_equal(X2,X1)
& ~ greater(zero,growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> ( greater_or_equal(sK0(X0,X1),X1)
& ~ greater(zero,growth_rate(first_movers,sK0(X0,X1)))
& subpopulations(first_movers,efficient_producers,X0,sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
( ? [X3] :
( greater(X3,appear(efficient_producers,X0))
& ! [X4] :
( ~ subpopulations(first_movers,efficient_producers,X0,X4)
| ~ greater_or_equal(X4,X3)
| greater(zero,growth_rate(first_movers,X4)) ) )
=> ( greater(sK1(X0),appear(efficient_producers,X0))
& ! [X4] :
( ~ subpopulations(first_movers,efficient_producers,X0,X4)
| ~ greater_or_equal(X4,sK1(X0))
| greater(zero,growth_rate(first_movers,X4)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( greater_or_equal(X2,X1)
& ~ greater(zero,growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2) ) )
| ~ environment(X0)
| ~ stable(X0)
| ? [X3] :
( greater(X3,appear(efficient_producers,X0))
& ! [X4] :
( ~ subpopulations(first_movers,efficient_producers,X0,X4)
| ~ greater_or_equal(X4,X3)
| greater(zero,growth_rate(first_movers,X4)) ) ) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( greater(zero,growth_rate(first_movers,X4))
| ~ greater_or_equal(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4) )
& greater(X3,appear(efficient_producers,X0)) )
| ~ environment(X0)
| ! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
| ~ in_environment(X0,X1) )
| ~ stable(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0] :
( ( environment(X0)
& ? [X1] :
( ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(zero,growth_rate(first_movers,X2)) )
& in_environment(X0,X1) )
& stable(X0) )
=> ? [X3] :
( ! [X4] :
( ( greater_or_equal(X4,X3)
& subpopulations(first_movers,efficient_producers,X0,X4) )
=> greater(zero,growth_rate(first_movers,X4)) )
& greater(X3,appear(efficient_producers,X0)) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ( environment(X0)
& ? [X1] :
( ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(zero,growth_rate(first_movers,X2)) )
& in_environment(X0,X1) )
& stable(X0) )
=> ? [X3] :
( greater(X3,appear(efficient_producers,X0))
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X3) )
=> greater(zero,growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth) ).
fof(f100,plain,
( greater(zero,growth_rate(first_movers,sK0(sK3,sK2(sK3))))
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl5_9
<=> greater(zero,growth_rate(first_movers,sK0(sK3,sK2(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f115,plain,
( greater_or_equal(sK4(sK1(sK3)),sK1(sK3))
| ~ spl5_2 ),
inference(resolution,[],[f48,f31]) ).
fof(f31,plain,
! [X1] :
( ~ greater(X1,appear(efficient_producers,sK3))
| greater_or_equal(sK4(X1),X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f48,plain,
( greater(sK1(sK3),appear(efficient_producers,sK3))
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f46,plain,
( spl5_2
<=> greater(sK1(sK3),appear(efficient_producers,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f111,plain,
( spl5_2
| ~ spl5_9 ),
inference(avatar_contradiction_clause,[],[f110]) ).
fof(f110,plain,
( $false
| spl5_2
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f109,f47]) ).
fof(f47,plain,
( ~ greater(sK1(sK3),appear(efficient_producers,sK3))
| spl5_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f109,plain,
( greater(sK1(sK3),appear(efficient_producers,sK3))
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f108,f34]) ).
fof(f108,plain,
( ~ environment(sK3)
| greater(sK1(sK3),appear(efficient_producers,sK3))
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f107,f35]) ).
fof(f107,plain,
( ~ stable(sK3)
| ~ environment(sK3)
| greater(sK1(sK3),appear(efficient_producers,sK3))
| ~ spl5_9 ),
inference(subsumption_resolution,[],[f106,f37]) ).
fof(f106,plain,
( ~ in_environment(sK3,sK2(sK3))
| ~ environment(sK3)
| ~ stable(sK3)
| greater(sK1(sK3),appear(efficient_producers,sK3))
| ~ spl5_9 ),
inference(resolution,[],[f100,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(first_movers,sK0(X0,X1)))
| ~ stable(X0)
| ~ environment(X0)
| greater(sK1(X0),appear(efficient_producers,X0))
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f104,plain,
( ~ spl5_4
| spl5_8 ),
inference(avatar_contradiction_clause,[],[f103]) ).
fof(f103,plain,
( $false
| ~ spl5_4
| spl5_8 ),
inference(subsumption_resolution,[],[f102,f37]) ).
fof(f102,plain,
( ~ in_environment(sK3,sK2(sK3))
| ~ spl5_4
| spl5_8 ),
inference(resolution,[],[f62,f93]) ).
fof(f93,plain,
( ~ subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,sK2(sK3)))
| spl5_8 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl5_8
<=> subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,sK2(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f62,plain,
( ! [X0] :
( subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,X0))
| ~ in_environment(sK3,X0) )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f61,plain,
( spl5_4
<=> ! [X0] :
( ~ in_environment(sK3,X0)
| subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f101,plain,
( ~ spl5_8
| spl5_9
| ~ spl5_1 ),
inference(avatar_split_clause,[],[f96,f42,f98,f91]) ).
fof(f96,plain,
( greater(zero,growth_rate(first_movers,sK0(sK3,sK2(sK3))))
| ~ subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,sK2(sK3)))
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f95,f34]) ).
fof(f95,plain,
( greater(zero,growth_rate(first_movers,sK0(sK3,sK2(sK3))))
| ~ environment(sK3)
| ~ subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,sK2(sK3)))
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f82,f35]) ).
fof(f82,plain,
( ~ subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,sK2(sK3)))
| ~ stable(sK3)
| ~ environment(sK3)
| greater(zero,growth_rate(first_movers,sK0(sK3,sK2(sK3))))
| ~ spl5_1 ),
inference(resolution,[],[f44,f30]) ).
fof(f30,plain,
! [X2,X0] :
( ~ greater_or_equal(X2,sK2(X0))
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f44,plain,
( greater_or_equal(sK0(sK3,sK2(sK3)),sK2(sK3))
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f81,plain,
( spl5_2
| spl5_4 ),
inference(avatar_split_clause,[],[f80,f61,f46]) ).
fof(f80,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,X0))
| ~ in_environment(sK3,X0)
| greater(sK1(sK3),appear(efficient_producers,sK3)) ),
inference(subsumption_resolution,[],[f50,f34]) ).
fof(f50,plain,
! [X0] :
( ~ environment(sK3)
| ~ in_environment(sK3,X0)
| greater(sK1(sK3),appear(efficient_producers,sK3))
| subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,X0)) ),
inference(resolution,[],[f23,f35]) ).
fof(f23,plain,
! [X0,X1] :
( ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,sK0(X0,X1))
| greater(sK1(X0),appear(efficient_producers,X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f79,plain,
( ~ spl5_2
| ~ spl5_5 ),
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| ~ spl5_2
| ~ spl5_5 ),
inference(subsumption_resolution,[],[f77,f48]) ).
fof(f77,plain,
( ~ greater(sK1(sK3),appear(efficient_producers,sK3))
| ~ spl5_5 ),
inference(resolution,[],[f66,f33]) ).
fof(f33,plain,
! [X1] :
( ~ greater(zero,growth_rate(first_movers,sK4(X1)))
| ~ greater(X1,appear(efficient_producers,sK3)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f66,plain,
( greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f76,plain,
( ~ spl5_2
| spl5_3 ),
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f75,plain,
( $false
| ~ spl5_2
| spl5_3 ),
inference(subsumption_resolution,[],[f74,f48]) ).
fof(f74,plain,
( ~ greater(sK1(sK3),appear(efficient_producers,sK3))
| spl5_3 ),
inference(resolution,[],[f59,f32]) ).
fof(f32,plain,
! [X1] :
( subpopulations(first_movers,efficient_producers,sK3,sK4(X1))
| ~ greater(X1,appear(efficient_producers,sK3)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f59,plain,
( ~ subpopulations(first_movers,efficient_producers,sK3,sK4(sK1(sK3)))
| spl5_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f73,plain,
( spl5_6
| ~ spl5_3
| spl5_5
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f69,f46,f64,f57,f71]) ).
fof(f69,plain,
( ! [X1] :
( greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ subpopulations(first_movers,efficient_producers,sK3,sK4(sK1(sK3)))
| ~ in_environment(sK3,X1)
| greater_or_equal(sK0(sK3,X1),X1) )
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f68,f35]) ).
fof(f68,plain,
( ! [X1] :
( ~ in_environment(sK3,X1)
| greater_or_equal(sK0(sK3,X1),X1)
| ~ stable(sK3)
| greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ subpopulations(first_movers,efficient_producers,sK3,sK4(sK1(sK3))) )
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f53,f34]) ).
fof(f53,plain,
( ! [X1] :
( ~ subpopulations(first_movers,efficient_producers,sK3,sK4(sK1(sK3)))
| ~ environment(sK3)
| greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| greater_or_equal(sK0(sK3,X1),X1)
| ~ stable(sK3)
| ~ in_environment(sK3,X1) )
| ~ spl5_2 ),
inference(resolution,[],[f51,f26]) ).
fof(f26,plain,
! [X0,X1,X4] :
( ~ greater_or_equal(X4,sK1(X0))
| greater_or_equal(sK0(X0,X1),X1)
| greater(zero,growth_rate(first_movers,X4))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X4) ),
inference(cnf_transformation,[],[f16]) ).
fof(f51,plain,
( greater_or_equal(sK4(sK1(sK3)),sK1(sK3))
| ~ spl5_2 ),
inference(resolution,[],[f48,f31]) ).
fof(f67,plain,
( ~ spl5_3
| spl5_4
| spl5_5
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f55,f46,f64,f61,f57]) ).
fof(f55,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ in_environment(sK3,X0)
| subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,X0))
| ~ subpopulations(first_movers,efficient_producers,sK3,sK4(sK1(sK3))) )
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f54,f34]) ).
fof(f54,plain,
( ! [X0] :
( ~ in_environment(sK3,X0)
| ~ environment(sK3)
| subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,X0))
| greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ subpopulations(first_movers,efficient_producers,sK3,sK4(sK1(sK3))) )
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f52,f35]) ).
fof(f52,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK3,sK4(sK1(sK3)))
| subpopulations(first_movers,efficient_producers,sK3,sK0(sK3,X0))
| ~ stable(sK3)
| ~ in_environment(sK3,X0)
| ~ environment(sK3)
| greater(zero,growth_rate(first_movers,sK4(sK1(sK3)))) )
| ~ spl5_2 ),
inference(resolution,[],[f51,f22]) ).
fof(f22,plain,
! [X0,X1,X4] :
( ~ greater_or_equal(X4,sK1(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X4)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| subpopulations(first_movers,efficient_producers,X0,sK0(X0,X1))
| greater(zero,growth_rate(first_movers,X4)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f49,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f40,f46,f42]) ).
fof(f40,plain,
( greater(sK1(sK3),appear(efficient_producers,sK3))
| greater_or_equal(sK0(sK3,sK2(sK3)),sK2(sK3)) ),
inference(subsumption_resolution,[],[f39,f35]) ).
fof(f39,plain,
( greater_or_equal(sK0(sK3,sK2(sK3)),sK2(sK3))
| ~ stable(sK3)
| greater(sK1(sK3),appear(efficient_producers,sK3)) ),
inference(subsumption_resolution,[],[f38,f34]) ).
fof(f38,plain,
( greater(sK1(sK3),appear(efficient_producers,sK3))
| ~ environment(sK3)
| greater_or_equal(sK0(sK3,sK2(sK3)),sK2(sK3))
| ~ stable(sK3) ),
inference(resolution,[],[f37,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| greater(sK1(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0)
| greater_or_equal(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT028+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 03:30:00 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (15161)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50 % (15173)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50 % (15153)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (15165)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.51 % (15169)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (15151)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (15173)First to succeed.
% 0.19/0.51 % (15172)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.51 % (15155)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (15156)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.52 % (15163)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52 % (15150)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (15176)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (15174)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (15175)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (15162)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 TRYING [2]
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (15164)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.52 % (15157)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (15171)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.52 TRYING [4]
% 0.19/0.52 % (15154)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 TRYING [5]
% 0.19/0.52 % (15173)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (15173)------------------------------
% 0.19/0.53 % (15173)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (15173)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (15173)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (15173)Memory used [KB]: 5500
% 0.19/0.53 % (15173)Time elapsed: 0.086 s
% 0.19/0.53 % (15173)Instructions burned: 2 (million)
% 0.19/0.53 % (15173)------------------------------
% 0.19/0.53 % (15173)------------------------------
% 0.19/0.53 % (15147)Success in time 0.178 s
%------------------------------------------------------------------------------