%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT029+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:02:34 PM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 58
% Syntax : Number of formulae : 530 ( 26 unt; 51 def)
% Number of atoms : 1759 ( 121 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 2166 ( 937 ~;1129 |; 38 &)
% ( 52 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 59 ( 57 usr; 52 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 121 ( 0 sgn 109 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( in_environment(X0,X1)
& in_environment(X0,X2) )
=> ( greater(X2,X1)
| X2 = X1
| greater(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_environment) ).
fof(f3,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( greater(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f4,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& greater_or_equal(X1,equilibrium(X0)) )
=> ( ( growth_rate(first_movers,X1) = zero
& growth_rate(efficient_producers,X1) = zero )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) )
| ( greater(growth_rate(efficient_producers,X1),zero)
& greater(zero,growth_rate(first_movers,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6) ).
fof(f5,axiom,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(f6,axiom,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_environment(X0,X1)
& greater_or_equal(X1,equilibrium(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f7,conjecture,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11) ).
fof(f8,negated_conjecture,
~ ! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> ( greater(growth_rate(efficient_producers,X2),zero)
& greater(zero,growth_rate(first_movers,X2)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f10,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( greater(X2,X1)
| X2 = X1
| greater(X1,X2)
| ~ in_environment(X0,X1)
| ~ in_environment(X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] :
( greater(X2,X1)
| X2 = X1
| greater(X1,X2)
| ~ in_environment(X0,X1)
| ~ in_environment(X0,X2) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( ( growth_rate(first_movers,X1) = zero
& growth_rate(efficient_producers,X1) = zero )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) )
| ( greater(growth_rate(efficient_producers,X1),zero)
& greater(zero,growth_rate(first_movers,X1)) )
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f14,plain,
! [X0,X1] :
( ( growth_rate(first_movers,X1) = zero
& growth_rate(efficient_producers,X1) = zero )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) )
| ( greater(growth_rate(efficient_producers,X1),zero)
& greater(zero,growth_rate(first_movers,X1)) )
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0)) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& greater_or_equal(X1,equilibrium(X0)) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& greater_or_equal(X1,equilibrium(X0)) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
? [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( ( ~ greater(growth_rate(efficient_producers,X2),zero)
| ~ greater(zero,growth_rate(first_movers,X2)) )
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) ) )
& environment(X0)
& stable(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f20,plain,
? [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( ( ~ greater(growth_rate(efficient_producers,X2),zero)
| ~ greater(zero,growth_rate(first_movers,X2)) )
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) ) )
& environment(X0)
& stable(X0) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f10]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ in_environment(X0,X1)
| ~ in_environment(X0,X2)
| greater(X1,X2)
| X1 = X2
| greater(X2,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f24,plain,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| zero = growth_rate(efficient_producers,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| zero = growth_rate(efficient_producers,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f29,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(first_movers,X1) = zero ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| zero = growth_rate(efficient_producers,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f31,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| growth_rate(first_movers,X1) = zero ),
inference(cnf_transformation,[],[f14]) ).
fof(f32,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| zero = growth_rate(efficient_producers,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f33,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| growth_rate(first_movers,X1) = zero ),
inference(cnf_transformation,[],[f14]) ).
fof(f34,plain,
! [X2,X0] :
( ~ stable(X0)
| ~ environment(X0)
| ~ greater_or_equal(X2,sK0(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f35,plain,
! [X0] :
( in_environment(X0,sK0(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f36,plain,
! [X0] :
( greater_or_equal(sK1(X0),equilibrium(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f37,plain,
! [X0] :
( in_environment(X0,sK1(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f38,plain,
! [X1] :
( ~ greater(zero,growth_rate(first_movers,sK3(X1)))
| ~ greater(growth_rate(efficient_producers,sK3(X1)),zero)
| ~ in_environment(sK2,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X1] :
( greater_or_equal(sK3(X1),X1)
| ~ in_environment(sK2,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f40,plain,
! [X1] :
( subpopulations(first_movers,efficient_producers,sK2,sK3(X1))
| ~ in_environment(sK2,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f41,plain,
stable(sK2),
inference(cnf_transformation,[],[f20]) ).
fof(f42,plain,
environment(sK2),
inference(cnf_transformation,[],[f20]) ).
fof(f43,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f24]) ).
fof(f44,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| sK3(X0) = X0
| greater(sK3(X0),X0) ),
inference(resolution,[],[f23,f39]) ).
fof(f46,plain,
! [X0] :
( ~ stable(X0)
| equilibrium(X0) = sK1(X0)
| ~ environment(X0)
| greater(sK1(X0),equilibrium(X0)) ),
inference(resolution,[],[f23,f36]) ).
fof(f48,plain,
! [X0,X1] :
( ~ stable(X0)
| greater(sK1(X0),X1)
| sK1(X0) = X1
| greater(X1,sK1(X0))
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(resolution,[],[f22,f37]) ).
fof(f56,definition,
( spl4_1
<=> greater(sK3(sK1(sK2)),sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f58,plain,
( greater(sK3(sK1(sK2)),sK1(sK2))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f60,definition,
( spl4_2
<=> sK1(sK2) = sK3(sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f62,plain,
( sK1(sK2) = sK3(sK1(sK2))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f65,definition,
( spl4_3
<=> greater(sK3(sK0(sK2)),sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f67,plain,
( greater(sK3(sK0(sK2)),sK0(sK2))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f69,definition,
( spl4_4
<=> sK0(sK2) = sK3(sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f71,plain,
( sK0(sK2) = sK3(sK0(sK2))
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f73,plain,
! [X0] :
( ~ environment(sK2)
| ~ greater_or_equal(X0,sK0(sK2))
| ~ subpopulations(first_movers,efficient_producers,sK2,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(resolution,[],[f34,f41]) ).
fof(f74,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK2,X0)
| ~ greater_or_equal(X0,sK0(sK2))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(forward_subsumption_resolution,[],[f73,f42]) ).
fof(f75,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK2,X0)
| ~ greater_or_equal(X0,equilibrium(sK2))
| greater(zero,growth_rate(first_movers,X0))
| greater(growth_rate(first_movers,X0),zero)
| zero = growth_rate(efficient_producers,X0) ),
inference(resolution,[],[f26,f42]) ).
fof(f76,plain,
( ~ greater(zero,growth_rate(first_movers,sK1(sK2)))
| ~ greater(growth_rate(efficient_producers,sK1(sK2)),zero)
| ~ in_environment(sK2,sK1(sK2))
| ~ spl4_2 ),
inference(superposition,[],[f38,f62]) ).
fof(f77,plain,
( subpopulations(first_movers,efficient_producers,sK2,sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| ~ spl4_2 ),
inference(superposition,[],[f40,f62]) ).
fof(f80,definition,
( spl4_5
<=> in_environment(sK2,sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f81,plain,
( in_environment(sK2,sK1(sK2))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f82,plain,
( ~ in_environment(sK2,sK1(sK2))
| spl4_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f84,definition,
( spl4_6
<=> subpopulations(first_movers,efficient_producers,sK2,sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f86,plain,
( subpopulations(first_movers,efficient_producers,sK2,sK1(sK2))
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f89,definition,
( spl4_7
<=> greater(growth_rate(efficient_producers,sK1(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f93,definition,
( spl4_8
<=> greater(zero,growth_rate(first_movers,sK1(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f94,plain,
( greater(zero,growth_rate(first_movers,sK1(sK2)))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f95,plain,
( ~ greater(zero,growth_rate(first_movers,sK1(sK2)))
| spl4_8 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f98,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK2,X0)
| ~ greater_or_equal(X0,equilibrium(sK2))
| greater(zero,growth_rate(first_movers,X0))
| greater(zero,growth_rate(efficient_producers,X0))
| zero = growth_rate(efficient_producers,X0) ),
inference(resolution,[],[f28,f42]) ).
fof(f99,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK2,X0)
| ~ greater_or_equal(X0,equilibrium(sK2))
| greater(zero,growth_rate(first_movers,X0))
| greater(zero,growth_rate(efficient_producers,X0))
| zero = growth_rate(first_movers,X0) ),
inference(resolution,[],[f29,f42]) ).
fof(f100,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| spl4_5 ),
inference(resolution,[],[f82,f37]) ).
fof(f101,plain,
( ~ stable(sK2)
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f100,f42]) ).
fof(f102,plain,
( $false
| spl4_5 ),
inference(forward_subsumption_resolution,[],[f101,f41]) ).
fof(f103,plain,
spl4_5,
inference(avatar_contradiction_clause,[],[f102]) ).
fof(f104,plain,
( sK1(sK2) = sK3(sK1(sK2))
| greater(sK3(sK1(sK2)),sK1(sK2))
| ~ spl4_5 ),
inference(resolution,[],[f81,f44]) ).
fof(f106,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK2,X0)
| ~ greater_or_equal(X0,equilibrium(sK2))
| greater(growth_rate(efficient_producers,X0),zero)
| greater(growth_rate(first_movers,X0),zero)
| zero = growth_rate(efficient_producers,X0) ),
inference(resolution,[],[f30,f42]) ).
fof(f107,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK2,X0)
| ~ greater_or_equal(X0,equilibrium(sK2))
| greater(growth_rate(efficient_producers,X0),zero)
| greater(growth_rate(first_movers,X0),zero)
| zero = growth_rate(first_movers,X0) ),
inference(resolution,[],[f31,f42]) ).
fof(f108,plain,
( ! [X0] :
( ~ greater(sK0(sK2),X0)
| greater(sK3(sK0(sK2)),X0) )
| ~ spl4_3 ),
inference(resolution,[],[f67,f21]) ).
fof(f110,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK2,X0)
| ~ greater_or_equal(X0,equilibrium(sK2))
| greater(growth_rate(efficient_producers,X0),zero)
| greater(zero,growth_rate(efficient_producers,X0))
| zero = growth_rate(efficient_producers,X0) ),
inference(resolution,[],[f32,f42]) ).
fof(f111,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK2,X0)
| ~ greater_or_equal(X0,equilibrium(sK2))
| greater(growth_rate(efficient_producers,X0),zero)
| greater(zero,growth_rate(efficient_producers,X0))
| zero = growth_rate(first_movers,X0) ),
inference(resolution,[],[f33,f42]) ).
fof(f112,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),sK0(sK2))
| greater(growth_rate(efficient_producers,sK3(X0)),growth_rate(first_movers,sK3(X0)))
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f74,f40]) ).
fof(f113,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| greater(zero,growth_rate(first_movers,sK3(X0)))
| greater(growth_rate(first_movers,sK3(X0)),zero)
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f75,f40]) ).
fof(f119,definition,
( spl4_9
<=> greater(growth_rate(efficient_producers,sK1(sK2)),growth_rate(first_movers,sK1(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f121,plain,
( greater(growth_rate(efficient_producers,sK1(sK2)),growth_rate(first_movers,sK1(sK2)))
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f123,definition,
( spl4_10
<=> greater_or_equal(sK1(sK2),sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f125,plain,
( ~ greater_or_equal(sK1(sK2),sK0(sK2))
| spl4_10 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f128,definition,
( spl4_11
<=> zero = growth_rate(efficient_producers,sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f130,plain,
( zero = growth_rate(efficient_producers,sK1(sK2))
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f132,definition,
( spl4_12
<=> greater(growth_rate(first_movers,sK1(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f134,plain,
( greater(growth_rate(first_movers,sK1(sK2)),zero)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f136,definition,
( spl4_13
<=> greater_or_equal(sK1(sK2),equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
fof(f137,plain,
( greater_or_equal(sK1(sK2),equilibrium(sK2))
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f138,plain,
( ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| spl4_13 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f141,definition,
( spl4_14
<=> zero = growth_rate(first_movers,sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f143,plain,
( zero = growth_rate(first_movers,sK1(sK2))
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f145,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| greater(zero,growth_rate(first_movers,sK3(X0)))
| greater(zero,growth_rate(efficient_producers,sK3(X0)))
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f98,f40]) ).
fof(f146,plain,
( ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| greater(zero,growth_rate(first_movers,sK1(sK2)))
| greater(zero,growth_rate(efficient_producers,sK1(sK2)))
| zero = growth_rate(efficient_producers,sK1(sK2))
| ~ spl4_6 ),
inference(resolution,[],[f98,f86]) ).
fof(f148,definition,
( spl4_15
<=> greater(zero,growth_rate(efficient_producers,sK1(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f150,plain,
( greater(zero,growth_rate(efficient_producers,sK1(sK2)))
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( spl4_11
| spl4_15
| spl4_8
| ~ spl4_13
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f146,f84,f136,f93,f148,f128]) ).
fof(f155,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| greater(growth_rate(efficient_producers,sK3(X0)),zero)
| greater(growth_rate(first_movers,sK3(X0)),zero)
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f106,f40]) ).
fof(f158,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| greater(growth_rate(efficient_producers,sK3(X0)),zero)
| greater(growth_rate(first_movers,sK3(X0)),zero)
| zero = growth_rate(first_movers,sK3(X0))
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f107,f40]) ).
fof(f161,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| greater(growth_rate(efficient_producers,sK3(X0)),zero)
| greater(zero,growth_rate(efficient_producers,sK3(X0)))
| zero = growth_rate(efficient_producers,sK3(X0))
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f110,f40]) ).
fof(f164,plain,
! [X0] :
( ~ greater_or_equal(sK3(X0),equilibrium(sK2))
| greater(growth_rate(efficient_producers,sK3(X0)),zero)
| greater(zero,growth_rate(efficient_producers,sK3(X0)))
| zero = growth_rate(first_movers,sK3(X0))
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f111,f40]) ).
fof(f167,plain,
( sK1(sK2) = equilibrium(sK2)
| ~ environment(sK2)
| greater(sK1(sK2),equilibrium(sK2)) ),
inference(resolution,[],[f46,f41]) ).
fof(f168,plain,
( sK1(sK2) = equilibrium(sK2)
| greater(sK1(sK2),equilibrium(sK2)) ),
inference(forward_subsumption_resolution,[],[f167,f42]) ).
fof(f170,definition,
( spl4_16
<=> greater(sK1(sK2),equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
fof(f172,plain,
( greater(sK1(sK2),equilibrium(sK2))
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f170]) ).
fof(f174,definition,
( spl4_17
<=> sK1(sK2) = equilibrium(sK2) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f175,plain,
( sK1(sK2) != equilibrium(sK2)
| spl4_17 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f176,plain,
( sK1(sK2) = equilibrium(sK2)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f174]) ).
fof(f177,plain,
( spl4_16
| spl4_17 ),
inference(avatar_split_clause,[],[f168,f174,f170]) ).
fof(f181,plain,
( greater_or_equal(sK1(sK2),equilibrium(sK2))
| ~ spl4_16 ),
inference(resolution,[],[f172,f25]) ).
fof(f182,plain,
( spl4_13
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f181,f170,f136]) ).
fof(f183,plain,
( greater(sK1(sK2),equilibrium(sK2))
| sK1(sK2) = equilibrium(sK2)
| ~ spl4_13 ),
inference(resolution,[],[f137,f23]) ).
fof(f184,plain,
! [X0] :
( greater(sK1(sK2),X0)
| sK1(sK2) = X0
| greater(X0,sK1(sK2))
| ~ environment(sK2)
| ~ in_environment(sK2,X0) ),
inference(resolution,[],[f48,f41]) ).
fof(f185,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| sK1(sK2) = X0
| greater(X0,sK1(sK2))
| greater(sK1(sK2),X0) ),
inference(forward_subsumption_resolution,[],[f184,f42]) ).
fof(f192,definition,
( spl4_18
<=> greater(sK0(sK2),sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f194,plain,
( greater(sK0(sK2),sK1(sK2))
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f196,definition,
( spl4_19
<=> greater(sK1(sK2),sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
fof(f198,plain,
( greater(sK1(sK2),sK0(sK2))
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f200,definition,
( spl4_20
<=> sK0(sK2) = sK1(sK2) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f202,plain,
( sK0(sK2) = sK1(sK2)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f206,plain,
( ! [X0] :
( ~ greater(sK1(sK2),X0)
| greater(sK0(sK2),X0) )
| ~ spl4_18 ),
inference(resolution,[],[f194,f21]) ).
fof(f207,plain,
( greater_or_equal(sK0(sK2),sK1(sK2))
| ~ spl4_18 ),
inference(resolution,[],[f194,f25]) ).
fof(f210,plain,
( sK0(sK2) = sK1(sK2)
| greater(sK0(sK2),sK1(sK2))
| greater(sK1(sK2),sK0(sK2))
| ~ environment(sK2)
| ~ stable(sK2) ),
inference(resolution,[],[f185,f35]) ).
fof(f214,plain,
( greater(growth_rate(efficient_producers,sK3(sK0(sK2))),growth_rate(first_movers,sK3(sK0(sK2))))
| ~ in_environment(sK2,sK0(sK2))
| ~ in_environment(sK2,sK0(sK2)) ),
inference(resolution,[],[f112,f39]) ).
fof(f215,plain,
( ~ greater_or_equal(sK1(sK2),sK0(sK2))
| greater(growth_rate(efficient_producers,sK1(sK2)),growth_rate(first_movers,sK1(sK2)))
| ~ in_environment(sK2,sK1(sK2))
| ~ spl4_2 ),
inference(superposition,[],[f112,f62]) ).
fof(f216,plain,
( greater(growth_rate(efficient_producers,sK3(sK0(sK2))),growth_rate(first_movers,sK3(sK0(sK2))))
| ~ in_environment(sK2,sK0(sK2)) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f218,definition,
( spl4_21
<=> in_environment(sK2,sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f219,plain,
( in_environment(sK2,sK0(sK2))
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f220,plain,
( ~ in_environment(sK2,sK0(sK2))
| spl4_21 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f222,definition,
( spl4_22
<=> greater(growth_rate(efficient_producers,sK3(sK0(sK2))),growth_rate(first_movers,sK3(sK0(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
fof(f224,plain,
( greater(growth_rate(efficient_producers,sK3(sK0(sK2))),growth_rate(first_movers,sK3(sK0(sK2))))
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f225,plain,
( ~ spl4_21
| spl4_22 ),
inference(avatar_split_clause,[],[f216,f222,f218]) ).
fof(f226,plain,
( greater(zero,growth_rate(first_movers,sK3(equilibrium(sK2))))
| greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero)
| zero = growth_rate(efficient_producers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(resolution,[],[f113,f39]) ).
fof(f228,plain,
( greater(zero,growth_rate(first_movers,sK3(equilibrium(sK2))))
| greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero)
| zero = growth_rate(efficient_producers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(duplicate_literal_removal,[],[f226]) ).
fof(f231,definition,
( spl4_23
<=> in_environment(sK2,equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_23])],[avatar_definition]) ).
fof(f232,plain,
( in_environment(sK2,equilibrium(sK2))
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f235,definition,
( spl4_24
<=> zero = growth_rate(efficient_producers,sK3(equilibrium(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_24])],[avatar_definition]) ).
fof(f237,plain,
( zero = growth_rate(efficient_producers,sK3(equilibrium(sK2)))
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f239,definition,
( spl4_25
<=> greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero) ),
introduced(definition,[new_symbols(definition,[spl4_25])],[avatar_definition]) ).
fof(f241,plain,
( greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero)
| ~ spl4_25 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f243,definition,
( spl4_26
<=> greater(zero,growth_rate(first_movers,sK3(equilibrium(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl4_26])],[avatar_definition]) ).
fof(f245,plain,
( greater(zero,growth_rate(first_movers,sK3(equilibrium(sK2))))
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f246,plain,
( ~ spl4_23
| spl4_24
| spl4_25
| spl4_26 ),
inference(avatar_split_clause,[],[f228,f243,f239,f235,f231]) ).
fof(f249,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| spl4_21 ),
inference(resolution,[],[f220,f35]) ).
fof(f250,plain,
( ~ stable(sK2)
| spl4_21 ),
inference(forward_subsumption_resolution,[],[f249,f42]) ).
fof(f251,plain,
( $false
| spl4_21 ),
inference(forward_subsumption_resolution,[],[f250,f41]) ).
fof(f252,plain,
spl4_21,
inference(avatar_contradiction_clause,[],[f251]) ).
fof(f255,plain,
( sK0(sK2) = sK3(sK0(sK2))
| greater(sK3(sK0(sK2)),sK0(sK2))
| ~ spl4_21 ),
inference(resolution,[],[f219,f44]) ).
fof(f263,definition,
( spl4_27
<=> zero = growth_rate(first_movers,sK3(equilibrium(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).
fof(f265,plain,
( zero = growth_rate(first_movers,sK3(equilibrium(sK2)))
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f269,plain,
( greater(zero,growth_rate(first_movers,sK3(equilibrium(sK2))))
| greater(zero,growth_rate(efficient_producers,sK3(equilibrium(sK2))))
| zero = growth_rate(efficient_producers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(resolution,[],[f145,f39]) ).
fof(f271,plain,
( greater(zero,growth_rate(first_movers,sK3(equilibrium(sK2))))
| greater(zero,growth_rate(efficient_producers,sK3(equilibrium(sK2))))
| zero = growth_rate(efficient_producers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(duplicate_literal_removal,[],[f269]) ).
fof(f274,definition,
( spl4_28
<=> greater(zero,growth_rate(efficient_producers,sK3(equilibrium(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl4_28])],[avatar_definition]) ).
fof(f276,plain,
( greater(zero,growth_rate(efficient_producers,sK3(equilibrium(sK2))))
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,plain,
( ~ spl4_23
| spl4_24
| spl4_28
| spl4_26 ),
inference(avatar_split_clause,[],[f271,f243,f274,f235,f231]) ).
fof(f287,plain,
( greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero)
| zero = growth_rate(efficient_producers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(resolution,[],[f155,f39]) ).
fof(f289,plain,
( greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero)
| zero = growth_rate(efficient_producers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(duplicate_literal_removal,[],[f287]) ).
fof(f293,plain,
( greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero)
| zero = growth_rate(first_movers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(resolution,[],[f158,f39]) ).
fof(f294,plain,
( ~ greater_or_equal(sK1(sK2),equilibrium(sK2))
| greater(growth_rate(efficient_producers,sK1(sK2)),zero)
| greater(growth_rate(first_movers,sK1(sK2)),zero)
| zero = growth_rate(first_movers,sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| ~ spl4_2 ),
inference(superposition,[],[f158,f62]) ).
fof(f295,plain,
( greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero)
| zero = growth_rate(first_movers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(duplicate_literal_removal,[],[f293]) ).
fof(f296,plain,
( greater(growth_rate(efficient_producers,sK1(sK2)),zero)
| greater(growth_rate(first_movers,sK1(sK2)),zero)
| zero = growth_rate(first_movers,sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| ~ spl4_2
| ~ spl4_13 ),
inference(forward_subsumption_resolution,[],[f294,f137]) ).
fof(f297,plain,
( greater(growth_rate(efficient_producers,sK1(sK2)),zero)
| greater(growth_rate(first_movers,sK1(sK2)),zero)
| zero = growth_rate(first_movers,sK1(sK2))
| ~ spl4_2
| ~ spl4_5
| ~ spl4_13 ),
inference(forward_subsumption_resolution,[],[f296,f81]) ).
fof(f298,plain,
( spl4_14
| spl4_12
| spl4_7
| ~ spl4_2
| ~ spl4_5
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f297,f136,f80,f60,f89,f132,f141]) ).
fof(f299,plain,
( greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| greater(zero,growth_rate(efficient_producers,sK3(equilibrium(sK2))))
| zero = growth_rate(efficient_producers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(resolution,[],[f161,f39]) ).
fof(f301,plain,
( greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| greater(zero,growth_rate(efficient_producers,sK3(equilibrium(sK2))))
| zero = growth_rate(efficient_producers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(duplicate_literal_removal,[],[f299]) ).
fof(f309,plain,
( greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| greater(zero,growth_rate(efficient_producers,sK3(equilibrium(sK2))))
| zero = growth_rate(first_movers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(resolution,[],[f164,f39]) ).
fof(f311,plain,
( greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| greater(zero,growth_rate(efficient_producers,sK3(equilibrium(sK2))))
| zero = growth_rate(first_movers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2)) ),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f318,plain,
( ! [X0] :
( ~ greater(growth_rate(first_movers,sK3(sK0(sK2))),X0)
| greater(growth_rate(efficient_producers,sK3(sK0(sK2))),X0) )
| ~ spl4_22 ),
inference(resolution,[],[f224,f21]) ).
fof(f320,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sK1(sK2)),X0)
| greater(zero,X0) )
| ~ spl4_15 ),
inference(resolution,[],[f150,f21]) ).
fof(f327,plain,
( greater(sK0(sK2),equilibrium(sK2))
| ~ spl4_16
| ~ spl4_18 ),
inference(resolution,[],[f206,f172]) ).
fof(f357,definition,
( spl4_29
<=> zero = growth_rate(first_movers,sK3(sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_29])],[avatar_definition]) ).
fof(f358,plain,
( zero != growth_rate(first_movers,sK3(sK0(sK2)))
| spl4_29 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f359,plain,
( zero = growth_rate(first_movers,sK3(sK0(sK2)))
| ~ spl4_29 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f361,definition,
( spl4_30
<=> greater(zero,growth_rate(efficient_producers,sK3(sK0(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl4_30])],[avatar_definition]) ).
fof(f362,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK3(sK0(sK2))))
| spl4_30 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f363,plain,
( greater(zero,growth_rate(efficient_producers,sK3(sK0(sK2))))
| ~ spl4_30 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f365,definition,
( spl4_31
<=> greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero) ),
introduced(definition,[new_symbols(definition,[spl4_31])],[avatar_definition]) ).
fof(f367,plain,
( greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ spl4_31 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f370,definition,
( spl4_32
<=> zero = growth_rate(efficient_producers,sK3(sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_32])],[avatar_definition]) ).
fof(f372,plain,
( zero = growth_rate(efficient_producers,sK3(sK0(sK2)))
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f377,definition,
( spl4_33
<=> greater(zero,growth_rate(first_movers,sK3(sK0(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl4_33])],[avatar_definition]) ).
fof(f379,plain,
( greater(zero,growth_rate(first_movers,sK3(sK0(sK2))))
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f383,definition,
( spl4_34
<=> greater(growth_rate(first_movers,sK3(sK0(sK2))),zero) ),
introduced(definition,[new_symbols(definition,[spl4_34])],[avatar_definition]) ).
fof(f384,plain,
( ~ greater(growth_rate(first_movers,sK3(sK0(sK2))),zero)
| spl4_34 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f385,plain,
( greater(growth_rate(first_movers,sK3(sK0(sK2))),zero)
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f390,plain,
( spl4_17
| spl4_16
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f183,f136,f170,f174]) ).
fof(f400,plain,
( greater(sK0(sK2),equilibrium(sK2))
| ~ spl4_17
| ~ spl4_18 ),
inference(superposition,[],[f194,f176]) ).
fof(f402,plain,
( greater_or_equal(sK0(sK2),equilibrium(sK2))
| ~ spl4_17
| ~ spl4_18 ),
inference(superposition,[],[f207,f176]) ).
fof(f411,plain,
( in_environment(sK2,equilibrium(sK2))
| ~ environment(sK2)
| ~ stable(sK2)
| ~ spl4_17 ),
inference(superposition,[],[f37,f176]) ).
fof(f419,definition,
( spl4_35
<=> greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero) ),
introduced(definition,[new_symbols(definition,[spl4_35])],[avatar_definition]) ).
fof(f422,plain,
( ~ spl4_23
| spl4_24
| spl4_25
| spl4_35 ),
inference(avatar_split_clause,[],[f289,f419,f239,f235,f231]) ).
fof(f423,plain,
( ~ spl4_23
| spl4_27
| spl4_25
| spl4_35 ),
inference(avatar_split_clause,[],[f295,f419,f239,f263,f231]) ).
fof(f424,plain,
( ~ spl4_23
| spl4_24
| spl4_28
| spl4_35 ),
inference(avatar_split_clause,[],[f301,f419,f274,f235,f231]) ).
fof(f425,plain,
( ~ spl4_23
| spl4_27
| spl4_28
| spl4_35 ),
inference(avatar_split_clause,[],[f311,f419,f274,f263,f231]) ).
fof(f426,plain,
( in_environment(sK2,equilibrium(sK2))
| ~ stable(sK2)
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f411,f42]) ).
fof(f428,plain,
( in_environment(sK2,equilibrium(sK2))
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f426,f41]) ).
fof(f429,plain,
( spl4_23
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f428,f174,f231]) ).
fof(f444,definition,
( spl4_38
<=> greater(sK0(sK2),equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_38])],[avatar_definition]) ).
fof(f445,plain,
( ~ greater(sK0(sK2),equilibrium(sK2))
| spl4_38 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f446,plain,
( greater(sK0(sK2),equilibrium(sK2))
| ~ spl4_38 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f452,definition,
( spl4_40
<=> sK0(sK2) = equilibrium(sK2) ),
introduced(definition,[new_symbols(definition,[spl4_40])],[avatar_definition]) ).
fof(f454,plain,
( sK0(sK2) = equilibrium(sK2)
| ~ spl4_40 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f456,plain,
( spl4_38
| ~ spl4_16
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f327,f192,f170,f444]) ).
fof(f457,plain,
( spl4_3
| spl4_4
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f255,f218,f69,f65]) ).
fof(f462,plain,
( greater_or_equal(sK0(sK2),equilibrium(sK2))
| ~ spl4_38 ),
inference(resolution,[],[f446,f25]) ).
fof(f469,plain,
( subpopulations(first_movers,efficient_producers,sK2,sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_4 ),
inference(superposition,[],[f40,f71]) ).
fof(f470,plain,
( ~ greater_or_equal(sK0(sK2),sK0(sK2))
| greater(growth_rate(efficient_producers,sK0(sK2)),growth_rate(first_movers,sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_4 ),
inference(superposition,[],[f112,f71]) ).
fof(f487,plain,
( greater(growth_rate(efficient_producers,sK0(sK2)),growth_rate(first_movers,sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f470,f43]) ).
fof(f488,plain,
( subpopulations(first_movers,efficient_producers,sK2,sK0(sK2))
| ~ spl4_4
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f469,f219]) ).
fof(f491,definition,
( spl4_41
<=> zero = growth_rate(first_movers,sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_41])],[avatar_definition]) ).
fof(f492,plain,
( zero != growth_rate(first_movers,sK0(sK2))
| spl4_41 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f495,definition,
( spl4_42
<=> greater(zero,growth_rate(efficient_producers,sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_42])],[avatar_definition]) ).
fof(f497,plain,
( greater(zero,growth_rate(efficient_producers,sK0(sK2)))
| ~ spl4_42 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f499,definition,
( spl4_43
<=> greater(growth_rate(efficient_producers,sK0(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl4_43])],[avatar_definition]) ).
fof(f500,plain,
( ~ greater(growth_rate(efficient_producers,sK0(sK2)),zero)
| spl4_43 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f501,plain,
( greater(growth_rate(efficient_producers,sK0(sK2)),zero)
| ~ spl4_43 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f503,definition,
( spl4_44
<=> greater_or_equal(sK0(sK2),equilibrium(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_44])],[avatar_definition]) ).
fof(f504,plain,
( greater_or_equal(sK0(sK2),equilibrium(sK2))
| ~ spl4_44 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f508,definition,
( spl4_45
<=> zero = growth_rate(efficient_producers,sK0(sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_45])],[avatar_definition]) ).
fof(f510,plain,
( zero = growth_rate(efficient_producers,sK0(sK2))
| ~ spl4_45 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f513,definition,
( spl4_46
<=> greater(growth_rate(first_movers,sK0(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl4_46])],[avatar_definition]) ).
fof(f519,definition,
( spl4_47
<=> greater(zero,growth_rate(first_movers,sK0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_47])],[avatar_definition]) ).
fof(f526,plain,
( greater(growth_rate(efficient_producers,sK0(sK2)),growth_rate(first_movers,sK0(sK2)))
| ~ spl4_4
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f487,f219]) ).
fof(f530,plain,
( spl4_44
| ~ spl4_38 ),
inference(avatar_split_clause,[],[f462,f444,f503]) ).
fof(f531,plain,
( greater(sK0(sK2),equilibrium(sK2))
| sK0(sK2) = equilibrium(sK2)
| ~ spl4_44 ),
inference(resolution,[],[f504,f23]) ).
fof(f559,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sK0(sK2)),X0)
| greater(zero,X0) )
| ~ spl4_42 ),
inference(resolution,[],[f497,f21]) ).
fof(f564,plain,
( ~ greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| ~ in_environment(sK2,equilibrium(sK2))
| ~ spl4_26 ),
inference(resolution,[],[f245,f38]) ).
fof(f568,plain,
( greater(zero,zero)
| ~ spl4_26
| ~ spl4_27 ),
inference(superposition,[],[f245,f265]) ).
fof(f569,plain,
( ~ greater(zero,zero)
| ~ greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| ~ in_environment(sK2,equilibrium(sK2))
| ~ spl4_27 ),
inference(superposition,[],[f38,f265]) ).
fof(f577,plain,
( greater(zero,growth_rate(first_movers,sK0(sK2)))
| ~ spl4_4
| ~ spl4_21
| ~ spl4_42 ),
inference(resolution,[],[f559,f526]) ).
fof(f615,plain,
( greater(sK3(sK0(sK2)),equilibrium(sK2))
| ~ spl4_3
| ~ spl4_38 ),
inference(resolution,[],[f108,f446]) ).
fof(f622,plain,
( greater_or_equal(sK3(sK0(sK2)),equilibrium(sK2))
| ~ spl4_3
| ~ spl4_38 ),
inference(resolution,[],[f615,f25]) ).
fof(f632,plain,
( greater(zero,growth_rate(first_movers,sK3(sK0(sK2))))
| greater(zero,growth_rate(efficient_producers,sK3(sK0(sK2))))
| zero = growth_rate(efficient_producers,sK3(sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_3
| ~ spl4_38 ),
inference(resolution,[],[f622,f145]) ).
fof(f635,plain,
( greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| greater(growth_rate(first_movers,sK3(sK0(sK2))),zero)
| zero = growth_rate(first_movers,sK3(sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_3
| ~ spl4_38 ),
inference(resolution,[],[f622,f158]) ).
fof(f641,plain,
( greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| zero = growth_rate(first_movers,sK3(sK0(sK2)))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_3
| ~ spl4_22
| ~ spl4_38 ),
inference(forward_subsumption_resolution,[],[f635,f318]) ).
fof(f644,plain,
( greater(zero,growth_rate(first_movers,sK3(sK0(sK2))))
| greater(zero,growth_rate(efficient_producers,sK3(sK0(sK2))))
| zero = growth_rate(efficient_producers,sK3(sK0(sK2)))
| ~ spl4_3
| ~ spl4_21
| ~ spl4_38 ),
inference(forward_subsumption_resolution,[],[f632,f219]) ).
fof(f649,plain,
( greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| zero = growth_rate(first_movers,sK3(sK0(sK2)))
| ~ spl4_3
| ~ spl4_21
| ~ spl4_22
| ~ spl4_38 ),
inference(forward_subsumption_resolution,[],[f641,f219]) ).
fof(f652,plain,
( spl4_32
| spl4_30
| spl4_33
| ~ spl4_3
| ~ spl4_21
| ~ spl4_38 ),
inference(avatar_split_clause,[],[f644,f444,f218,f65,f377,f361,f370]) ).
fof(f655,plain,
( spl4_29
| spl4_31
| ~ spl4_3
| ~ spl4_21
| ~ spl4_22
| ~ spl4_38 ),
inference(avatar_split_clause,[],[f649,f444,f222,f218,f65,f365,f357]) ).
fof(f665,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_33 ),
inference(resolution,[],[f379,f38]) ).
fof(f675,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),X0)
| greater(zero,X0) )
| ~ spl4_30 ),
inference(resolution,[],[f363,f21]) ).
fof(f677,plain,
( greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ spl4_22
| ~ spl4_34 ),
inference(resolution,[],[f385,f318]) ).
fof(f688,plain,
( greater(zero,growth_rate(first_movers,sK3(sK0(sK2))))
| ~ spl4_22
| ~ spl4_30 ),
inference(resolution,[],[f675,f224]) ).
fof(f692,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ spl4_21
| ~ spl4_33 ),
inference(forward_subsumption_resolution,[],[f665,f219]) ).
fof(f693,plain,
( spl4_33
| ~ spl4_22
| ~ spl4_30 ),
inference(avatar_split_clause,[],[f688,f361,f222,f377]) ).
fof(f694,plain,
( spl4_31
| ~ spl4_22
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f677,f383,f222,f365]) ).
fof(f695,plain,
( ~ spl4_31
| ~ spl4_21
| ~ spl4_33 ),
inference(avatar_split_clause,[],[f692,f377,f218,f365]) ).
fof(f698,plain,
( greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ spl4_22
| ~ spl4_29 ),
inference(superposition,[],[f224,f359]) ).
fof(f699,plain,
( ~ greater(zero,zero)
| ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_29 ),
inference(superposition,[],[f38,f359]) ).
fof(f700,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_29
| ~ spl4_30 ),
inference(forward_subsumption_resolution,[],[f699,f675]) ).
fof(f701,plain,
( spl4_31
| ~ spl4_22
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f698,f357,f222,f365]) ).
fof(f702,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ spl4_21
| ~ spl4_29
| ~ spl4_30 ),
inference(forward_subsumption_resolution,[],[f700,f219]) ).
fof(f703,plain,
( ~ spl4_31
| ~ spl4_21
| ~ spl4_29
| ~ spl4_30 ),
inference(avatar_split_clause,[],[f702,f361,f357,f218,f365]) ).
fof(f710,plain,
( ~ greater(zero,zero)
| ~ greater(growth_rate(efficient_producers,sK3(sK0(sK2))),zero)
| ~ spl4_21
| ~ spl4_29 ),
inference(forward_subsumption_resolution,[],[f699,f219]) ).
fof(f712,definition,
( spl4_48
<=> greater(zero,zero) ),
introduced(definition,[new_symbols(definition,[spl4_48])],[avatar_definition]) ).
fof(f714,plain,
( ~ greater(zero,zero)
| spl4_48 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f715,plain,
( ~ spl4_31
| ~ spl4_48
| ~ spl4_21
| ~ spl4_29 ),
inference(avatar_split_clause,[],[f710,f357,f218,f712,f365]) ).
fof(f723,plain,
( greater(zero,growth_rate(first_movers,sK3(sK0(sK2))))
| ~ spl4_22
| ~ spl4_32 ),
inference(superposition,[],[f224,f372]) ).
fof(f737,plain,
( spl4_47
| ~ spl4_4
| ~ spl4_21
| ~ spl4_42 ),
inference(avatar_split_clause,[],[f577,f495,f218,f69,f519]) ).
fof(f740,plain,
( spl4_33
| ~ spl4_22
| ~ spl4_32 ),
inference(avatar_split_clause,[],[f723,f370,f222,f377]) ).
fof(f750,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK0(sK2)))
| ~ spl4_4
| spl4_30 ),
inference(superposition,[],[f362,f71]) ).
fof(f751,plain,
( greater(growth_rate(efficient_producers,sK0(sK2)),zero)
| ~ spl4_4
| ~ spl4_31 ),
inference(superposition,[],[f367,f71]) ).
fof(f752,plain,
( ~ greater(zero,growth_rate(first_movers,sK0(sK2)))
| ~ greater(growth_rate(efficient_producers,sK0(sK2)),zero)
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_4 ),
inference(superposition,[],[f38,f71]) ).
fof(f761,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(growth_rate(efficient_producers,sK0(sK2)),zero)
| greater(growth_rate(first_movers,sK0(sK2)),zero)
| zero = growth_rate(first_movers,sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_4 ),
inference(superposition,[],[f158,f71]) ).
fof(f766,plain,
( ~ greater(zero,growth_rate(first_movers,sK0(sK2)))
| ~ greater(growth_rate(efficient_producers,sK0(sK2)),zero)
| ~ spl4_4
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f752,f219]) ).
fof(f767,plain,
( spl4_43
| ~ spl4_4
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f751,f365,f69,f499]) ).
fof(f771,plain,
( ~ spl4_43
| ~ spl4_47
| ~ spl4_4
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f766,f218,f69,f519,f499]) ).
fof(f792,plain,
( ~ spl4_42
| ~ spl4_4
| spl4_30 ),
inference(avatar_split_clause,[],[f750,f361,f69,f495]) ).
fof(f820,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(zero,growth_rate(first_movers,sK0(sK2)))
| greater(zero,growth_rate(efficient_producers,sK0(sK2)))
| zero = growth_rate(efficient_producers,sK0(sK2))
| ~ spl4_4
| ~ spl4_21 ),
inference(resolution,[],[f488,f98]) ).
fof(f821,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(zero,growth_rate(first_movers,sK0(sK2)))
| greater(zero,growth_rate(efficient_producers,sK0(sK2)))
| zero = growth_rate(first_movers,sK0(sK2))
| ~ spl4_4
| ~ spl4_21 ),
inference(resolution,[],[f488,f99]) ).
fof(f825,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(growth_rate(efficient_producers,sK0(sK2)),zero)
| greater(zero,growth_rate(efficient_producers,sK0(sK2)))
| zero = growth_rate(first_movers,sK0(sK2))
| ~ spl4_4
| ~ spl4_21 ),
inference(resolution,[],[f488,f111]) ).
fof(f826,plain,
( greater(growth_rate(efficient_producers,sK0(sK2)),zero)
| greater(zero,growth_rate(efficient_producers,sK0(sK2)))
| zero = growth_rate(first_movers,sK0(sK2))
| ~ spl4_4
| ~ spl4_21
| ~ spl4_44 ),
inference(forward_subsumption_resolution,[],[f825,f504]) ).
fof(f828,plain,
( greater(zero,growth_rate(first_movers,sK0(sK2)))
| greater(zero,growth_rate(efficient_producers,sK0(sK2)))
| zero = growth_rate(first_movers,sK0(sK2))
| ~ spl4_4
| ~ spl4_21
| ~ spl4_44 ),
inference(forward_subsumption_resolution,[],[f821,f504]) ).
fof(f829,plain,
( greater(zero,growth_rate(first_movers,sK0(sK2)))
| greater(zero,growth_rate(efficient_producers,sK0(sK2)))
| zero = growth_rate(efficient_producers,sK0(sK2))
| ~ spl4_4
| ~ spl4_21
| ~ spl4_44 ),
inference(forward_subsumption_resolution,[],[f820,f504]) ).
fof(f831,plain,
( spl4_41
| spl4_42
| spl4_43
| ~ spl4_4
| ~ spl4_21
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f826,f503,f218,f69,f499,f495,f491]) ).
fof(f833,plain,
( spl4_41
| spl4_42
| spl4_47
| ~ spl4_4
| ~ spl4_21
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f828,f503,f218,f69,f519,f495,f491]) ).
fof(f834,plain,
( spl4_45
| spl4_42
| spl4_47
| ~ spl4_4
| ~ spl4_21
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f829,f503,f218,f69,f519,f495,f508]) ).
fof(f841,plain,
( greater(zero,zero)
| ~ spl4_43
| ~ spl4_45 ),
inference(superposition,[],[f501,f510]) ).
fof(f847,plain,
( spl4_48
| ~ spl4_43
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f841,f508,f499,f712]) ).
fof(f857,plain,
( zero != growth_rate(first_movers,sK0(sK2))
| ~ spl4_4
| spl4_29 ),
inference(forward_demodulation,[],[f358,f71]) ).
fof(f894,plain,
( ~ spl4_41
| ~ spl4_4
| spl4_29 ),
inference(avatar_split_clause,[],[f857,f357,f69,f491]) ).
fof(f998,plain,
( ~ greater(growth_rate(first_movers,sK0(sK2)),zero)
| ~ spl4_4
| spl4_34 ),
inference(forward_demodulation,[],[f384,f71]) ).
fof(f1001,plain,
( ~ spl4_46
| ~ spl4_4
| spl4_34 ),
inference(avatar_split_clause,[],[f998,f383,f69,f513]) ).
fof(f1005,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(growth_rate(first_movers,sK0(sK2)),zero)
| zero = growth_rate(first_movers,sK0(sK2))
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_4
| spl4_43 ),
inference(forward_subsumption_resolution,[],[f761,f500]) ).
fof(f1012,plain,
( sK0(sK2) = sK1(sK2)
| greater(sK0(sK2),sK1(sK2))
| greater(sK1(sK2),sK0(sK2))
| ~ stable(sK2) ),
inference(forward_subsumption_resolution,[],[f210,f42]) ).
fof(f1017,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(growth_rate(first_movers,sK0(sK2)),zero)
| ~ in_environment(sK2,sK0(sK2))
| ~ spl4_4
| spl4_41
| spl4_43 ),
inference(forward_subsumption_resolution,[],[f1005,f492]) ).
fof(f1024,plain,
( sK0(sK2) = sK1(sK2)
| greater(sK0(sK2),sK1(sK2))
| greater(sK1(sK2),sK0(sK2)) ),
inference(forward_subsumption_resolution,[],[f1012,f41]) ).
fof(f1028,plain,
( ~ greater_or_equal(sK0(sK2),equilibrium(sK2))
| greater(growth_rate(first_movers,sK0(sK2)),zero)
| ~ spl4_4
| ~ spl4_21
| spl4_41
| spl4_43 ),
inference(forward_subsumption_resolution,[],[f1017,f219]) ).
fof(f1035,plain,
( spl4_19
| spl4_18
| spl4_20 ),
inference(avatar_split_clause,[],[f1024,f200,f192,f196]) ).
fof(f1037,plain,
( spl4_46
| ~ spl4_44
| ~ spl4_4
| ~ spl4_21
| spl4_41
| spl4_43 ),
inference(avatar_split_clause,[],[f1028,f499,f491,f218,f69,f503,f513]) ).
fof(f1044,plain,
( ~ greater_or_equal(sK0(sK2),sK0(sK2))
| spl4_10
| ~ spl4_20 ),
inference(superposition,[],[f125,f202]) ).
fof(f1049,plain,
( sK0(sK2) != equilibrium(sK2)
| spl4_17
| ~ spl4_20 ),
inference(superposition,[],[f175,f202]) ).
fof(f1059,plain,
( greater_or_equal(sK0(sK2),equilibrium(sK2))
| ~ environment(sK2)
| ~ stable(sK2)
| ~ spl4_20 ),
inference(superposition,[],[f36,f202]) ).
fof(f1062,plain,
( ~ spl4_40
| spl4_17
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f1049,f200,f174,f452]) ).
fof(f1068,plain,
( $false
| spl4_10
| ~ spl4_20 ),
inference(forward_subsumption_resolution,[],[f1044,f43]) ).
fof(f1069,plain,
( spl4_10
| ~ spl4_20 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1076,plain,
( greater_or_equal(sK1(sK2),sK0(sK2))
| ~ spl4_19 ),
inference(resolution,[],[f198,f25]) ).
fof(f1079,plain,
( ~ greater_or_equal(sK1(sK2),sK0(sK2))
| greater(growth_rate(efficient_producers,sK1(sK2)),growth_rate(first_movers,sK1(sK2)))
| ~ spl4_2
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f215,f81]) ).
fof(f1080,plain,
( spl4_10
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f1076,f196,f123]) ).
fof(f1081,plain,
( spl4_9
| ~ spl4_10
| ~ spl4_2
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f1079,f80,f60,f123,f119]) ).
fof(f1084,plain,
( greater(zero,growth_rate(first_movers,sK1(sK2)))
| ~ spl4_9
| ~ spl4_15 ),
inference(resolution,[],[f121,f320]) ).
fof(f1085,plain,
( ! [X0] :
( ~ greater(growth_rate(first_movers,sK1(sK2)),X0)
| greater(growth_rate(efficient_producers,sK1(sK2)),X0) )
| ~ spl4_9 ),
inference(resolution,[],[f121,f21]) ).
fof(f1089,plain,
( spl4_8
| ~ spl4_9
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f1084,f148,f119,f93]) ).
fof(f1101,plain,
( greater(growth_rate(efficient_producers,sK1(sK2)),zero)
| ~ spl4_9
| ~ spl4_12 ),
inference(resolution,[],[f1085,f134]) ).
fof(f1107,plain,
( spl4_7
| ~ spl4_9
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f1101,f132,f119,f89]) ).
fof(f1111,plain,
( greater(zero,growth_rate(first_movers,sK1(sK2)))
| ~ spl4_9
| ~ spl4_11 ),
inference(superposition,[],[f121,f130]) ).
fof(f1113,plain,
( $false
| spl4_8
| ~ spl4_9
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f1111,f95]) ).
fof(f1114,plain,
( spl4_8
| ~ spl4_9
| ~ spl4_11 ),
inference(avatar_contradiction_clause,[],[f1113]) ).
fof(f1115,plain,
( spl4_1
| spl4_2
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f104,f80,f60,f56]) ).
fof(f1116,plain,
( ! [X0] :
( greater(sK3(sK1(sK2)),X0)
| ~ greater(sK1(sK2),X0) )
| ~ spl4_1 ),
inference(resolution,[],[f58,f21]) ).
fof(f1117,plain,
( greater_or_equal(sK3(sK1(sK2)),sK1(sK2))
| ~ spl4_1 ),
inference(resolution,[],[f58,f25]) ).
fof(f1132,plain,
( ! [X0] :
( ~ greater(sK1(sK2),X0)
| greater_or_equal(sK3(sK1(sK2)),X0) )
| ~ spl4_1 ),
inference(resolution,[],[f1116,f25]) ).
fof(f1140,plain,
( greater_or_equal(sK3(sK1(sK2)),equilibrium(sK2))
| ~ spl4_1
| ~ spl4_16 ),
inference(resolution,[],[f1132,f172]) ).
fof(f1141,plain,
( greater_or_equal(sK3(sK1(sK2)),sK0(sK2))
| ~ spl4_1
| ~ spl4_19 ),
inference(resolution,[],[f1132,f198]) ).
fof(f1146,plain,
( greater(zero,growth_rate(first_movers,sK3(sK1(sK2))))
| greater(zero,growth_rate(efficient_producers,sK3(sK1(sK2))))
| zero = growth_rate(efficient_producers,sK3(sK1(sK2)))
| ~ in_environment(sK2,sK1(sK2))
| ~ spl4_1
| ~ spl4_16 ),
inference(resolution,[],[f1140,f145]) ).
fof(f1171,definition,
( spl4_51
<=> zero = growth_rate(first_movers,sK3(sK1(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_51])],[avatar_definition]) ).
fof(f1173,plain,
( zero = growth_rate(first_movers,sK3(sK1(sK2)))
| ~ spl4_51 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1175,definition,
( spl4_52
<=> greater(zero,growth_rate(efficient_producers,sK3(sK1(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl4_52])],[avatar_definition]) ).
fof(f1176,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK3(sK1(sK2))))
| spl4_52 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1177,plain,
( greater(zero,growth_rate(efficient_producers,sK3(sK1(sK2))))
| ~ spl4_52 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1179,definition,
( spl4_53
<=> greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero) ),
introduced(definition,[new_symbols(definition,[spl4_53])],[avatar_definition]) ).
fof(f1180,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| spl4_53 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1184,definition,
( spl4_54
<=> zero = growth_rate(efficient_producers,sK3(sK1(sK2))) ),
introduced(definition,[new_symbols(definition,[spl4_54])],[avatar_definition]) ).
fof(f1185,plain,
( zero != growth_rate(efficient_producers,sK3(sK1(sK2)))
| spl4_54 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1186,plain,
( zero = growth_rate(efficient_producers,sK3(sK1(sK2)))
| ~ spl4_54 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1189,definition,
( spl4_55
<=> greater(growth_rate(first_movers,sK3(sK1(sK2))),zero) ),
introduced(definition,[new_symbols(definition,[spl4_55])],[avatar_definition]) ).
fof(f1190,plain,
( ~ greater(growth_rate(first_movers,sK3(sK1(sK2))),zero)
| spl4_55 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1191,plain,
( greater(growth_rate(first_movers,sK3(sK1(sK2))),zero)
| ~ spl4_55 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1195,definition,
( spl4_56
<=> greater(zero,growth_rate(first_movers,sK3(sK1(sK2)))) ),
introduced(definition,[new_symbols(definition,[spl4_56])],[avatar_definition]) ).
fof(f1196,plain,
( ~ greater(zero,growth_rate(first_movers,sK3(sK1(sK2))))
| spl4_56 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1197,plain,
( greater(zero,growth_rate(first_movers,sK3(sK1(sK2))))
| ~ spl4_56 ),
inference(avatar_component_clause,[],[f1195]) ).
fof(f1202,plain,
( greater(growth_rate(efficient_producers,sK3(sK1(sK2))),growth_rate(first_movers,sK3(sK1(sK2))))
| ~ in_environment(sK2,sK1(sK2))
| ~ spl4_1
| ~ spl4_19 ),
inference(resolution,[],[f1141,f112]) ).
fof(f1213,plain,
( greater(growth_rate(efficient_producers,sK3(sK1(sK2))),growth_rate(first_movers,sK3(sK1(sK2))))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f1202,f81]) ).
fof(f1228,plain,
( ~ greater(zero,zero)
| spl4_53
| ~ spl4_54 ),
inference(superposition,[],[f1180,f1186]) ).
fof(f1240,plain,
( greater(zero,growth_rate(first_movers,sK3(sK1(sK2))))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_19
| ~ spl4_54 ),
inference(forward_demodulation,[],[f1213,f1186]) ).
fof(f1241,plain,
( spl4_56
| ~ spl4_1
| ~ spl4_5
| ~ spl4_19
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f1240,f1184,f196,f80,f56,f1195]) ).
fof(f1242,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| ~ in_environment(sK2,sK1(sK2))
| ~ spl4_56 ),
inference(resolution,[],[f1197,f38]) ).
fof(f1248,plain,
( ~ greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| ~ spl4_5
| ~ spl4_56 ),
inference(forward_subsumption_resolution,[],[f1242,f81]) ).
fof(f1249,plain,
( ~ greater(zero,zero)
| ~ spl4_5
| ~ spl4_54
| ~ spl4_56 ),
inference(forward_demodulation,[],[f1248,f1186]) ).
fof(f1252,plain,
( ~ spl4_53
| ~ spl4_5
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f1248,f1195,f80,f1179]) ).
fof(f1255,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sK3(sK1(sK2))),X0)
| greater(zero,X0) )
| ~ spl4_52 ),
inference(resolution,[],[f1177,f21]) ).
fof(f1258,plain,
( ! [X0] :
( ~ greater(growth_rate(first_movers,sK3(sK1(sK2))),X0)
| greater(growth_rate(efficient_producers,sK3(sK1(sK2))),X0) )
| ~ spl4_1
| ~ spl4_5
| ~ spl4_19 ),
inference(resolution,[],[f1213,f21]) ).
fof(f1275,plain,
( greater(zero,growth_rate(first_movers,sK3(sK1(sK2))))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_19
| ~ spl4_52 ),
inference(resolution,[],[f1255,f1213]) ).
fof(f1284,plain,
( greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| ~ spl4_1
| ~ spl4_5
| ~ spl4_19
| ~ spl4_55 ),
inference(resolution,[],[f1258,f1191]) ).
fof(f1288,plain,
( spl4_56
| ~ spl4_1
| ~ spl4_5
| ~ spl4_19
| ~ spl4_52 ),
inference(avatar_split_clause,[],[f1275,f1175,f196,f80,f56,f1195]) ).
fof(f1289,plain,
( spl4_53
| ~ spl4_1
| ~ spl4_5
| ~ spl4_19
| ~ spl4_55 ),
inference(avatar_split_clause,[],[f1284,f1189,f196,f80,f56,f1179]) ).
fof(f1290,plain,
( ~ greater(growth_rate(efficient_producers,sK1(sK2)),zero)
| ~ in_environment(sK2,sK1(sK2))
| ~ spl4_2
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f76,f94]) ).
fof(f1303,plain,
( ~ greater(growth_rate(efficient_producers,sK1(sK2)),zero)
| ~ spl4_2
| ~ spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f1290,f81]) ).
fof(f1312,plain,
( ~ spl4_7
| ~ spl4_2
| ~ spl4_5
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f1303,f93,f80,f60,f89]) ).
fof(f1330,plain,
( ~ spl4_48
| spl4_53
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f1228,f1184,f1179,f712]) ).
fof(f1332,plain,
( ~ spl4_48
| ~ spl4_5
| ~ spl4_54
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f1249,f1195,f1184,f80,f712]) ).
fof(f1341,plain,
( greater(zero,growth_rate(first_movers,sK3(sK1(sK2))))
| greater(zero,growth_rate(efficient_producers,sK3(sK1(sK2))))
| zero = growth_rate(efficient_producers,sK3(sK1(sK2)))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f1146,f81]) ).
fof(f1350,plain,
( spl4_54
| spl4_52
| spl4_56
| ~ spl4_1
| ~ spl4_5
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f1341,f170,f80,f56,f1195,f1175,f1184]) ).
fof(f1364,plain,
( greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| greater(growth_rate(first_movers,sK3(sK1(sK2))),zero)
| zero = growth_rate(efficient_producers,sK3(sK1(sK2)))
| ~ in_environment(sK2,sK1(sK2))
| ~ spl4_1
| ~ spl4_16 ),
inference(resolution,[],[f1140,f155]) ).
fof(f1365,plain,
( greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| greater(growth_rate(first_movers,sK3(sK1(sK2))),zero)
| zero = growth_rate(first_movers,sK3(sK1(sK2)))
| ~ in_environment(sK2,sK1(sK2))
| ~ spl4_1
| ~ spl4_16 ),
inference(resolution,[],[f1140,f158]) ).
fof(f1371,plain,
( greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| greater(growth_rate(first_movers,sK3(sK1(sK2))),zero)
| zero = growth_rate(first_movers,sK3(sK1(sK2)))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f1365,f81]) ).
fof(f1372,plain,
( greater(growth_rate(efficient_producers,sK3(sK1(sK2))),zero)
| greater(growth_rate(first_movers,sK3(sK1(sK2))),zero)
| zero = growth_rate(efficient_producers,sK3(sK1(sK2)))
| ~ spl4_1
| ~ spl4_5
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f1364,f81]) ).
fof(f1379,plain,
( spl4_51
| spl4_55
| spl4_53
| ~ spl4_1
| ~ spl4_5
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f1371,f170,f80,f56,f1179,f1189,f1171]) ).
fof(f1380,plain,
( spl4_54
| spl4_55
| spl4_53
| ~ spl4_1
| ~ spl4_5
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f1372,f170,f80,f56,f1179,f1189,f1184]) ).
fof(f1396,plain,
( greater(zero,zero)
| ~ spl4_51
| ~ spl4_56 ),
inference(forward_demodulation,[],[f1197,f1173]) ).
fof(f1397,plain,
( $false
| spl4_48
| ~ spl4_51
| ~ spl4_56 ),
inference(forward_subsumption_resolution,[],[f1396,f714]) ).
fof(f1398,plain,
( spl4_48
| ~ spl4_51
| ~ spl4_56 ),
inference(avatar_contradiction_clause,[],[f1397]) ).
fof(f1399,plain,
( subpopulations(first_movers,efficient_producers,sK2,sK1(sK2))
| ~ spl4_2
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f77,f81]) ).
fof(f1401,plain,
( ~ greater_or_equal(sK1(sK2),sK0(sK2))
| greater(growth_rate(efficient_producers,sK1(sK2)),growth_rate(first_movers,sK1(sK2)))
| ~ spl4_2
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f215,f81]) ).
fof(f1426,plain,
( $false
| ~ spl4_17
| ~ spl4_18
| spl4_38 ),
inference(forward_subsumption_resolution,[],[f400,f445]) ).
fof(f1427,plain,
( ~ spl4_17
| ~ spl4_18
| spl4_38 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1428,plain,
( spl4_44
| ~ spl4_17
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f402,f192,f174,f503]) ).
fof(f1438,plain,
( ~ greater(zero,zero)
| ~ in_environment(sK2,equilibrium(sK2))
| ~ spl4_24
| ~ spl4_26 ),
inference(forward_demodulation,[],[f564,f237]) ).
fof(f1439,plain,
( spl4_6
| ~ spl4_2
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f1399,f80,f60,f84]) ).
fof(f1441,plain,
( greater(growth_rate(efficient_producers,sK1(sK2)),zero)
| ~ greater_or_equal(sK1(sK2),sK0(sK2))
| ~ spl4_2
| ~ spl4_5
| ~ spl4_14 ),
inference(forward_demodulation,[],[f1401,f143]) ).
fof(f1516,plain,
( greater_or_equal(sK0(sK2),equilibrium(sK2))
| ~ stable(sK2)
| ~ spl4_20 ),
inference(forward_subsumption_resolution,[],[f1059,f42]) ).
fof(f1518,plain,
( sK0(sK2) = equilibrium(sK2)
| spl4_38
| ~ spl4_44 ),
inference(forward_subsumption_resolution,[],[f531,f445]) ).
fof(f1530,plain,
( ~ spl4_10
| spl4_7
| ~ spl4_2
| ~ spl4_5
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f1441,f141,f80,f60,f89,f123]) ).
fof(f1532,plain,
( greater_or_equal(sK0(sK2),equilibrium(sK2))
| ~ spl4_20 ),
inference(forward_subsumption_resolution,[],[f1516,f41]) ).
fof(f1535,plain,
( spl4_40
| spl4_38
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f1518,f503,f444,f452]) ).
fof(f1545,plain,
( spl4_44
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f1532,f200,f503]) ).
fof(f1568,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK3(equilibrium(sK2))))
| ~ spl4_17
| spl4_52 ),
inference(superposition,[],[f1176,f176]) ).
fof(f1577,plain,
( ~ spl4_28
| ~ spl4_17
| spl4_52 ),
inference(avatar_split_clause,[],[f1568,f1175,f174,f274]) ).
fof(f1600,plain,
( ~ greater_or_equal(equilibrium(sK2),equilibrium(sK2))
| spl4_13
| ~ spl4_17 ),
inference(forward_demodulation,[],[f138,f176]) ).
fof(f1601,plain,
( $false
| spl4_13
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f1600,f43]) ).
fof(f1602,plain,
( spl4_13
| ~ spl4_17 ),
inference(avatar_contradiction_clause,[],[f1601]) ).
fof(f1753,plain,
( greater_or_equal(sK3(equilibrium(sK2)),equilibrium(sK2))
| ~ spl4_1
| ~ spl4_17 ),
inference(forward_demodulation,[],[f1117,f176]) ).
fof(f1794,plain,
( greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero)
| zero = growth_rate(first_movers,sK3(equilibrium(sK2)))
| ~ in_environment(sK2,equilibrium(sK2))
| ~ spl4_1
| ~ spl4_17 ),
inference(resolution,[],[f1753,f158]) ).
fof(f1801,plain,
( greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero)
| zero = growth_rate(first_movers,sK3(equilibrium(sK2)))
| ~ spl4_1
| ~ spl4_17
| ~ spl4_23 ),
inference(forward_subsumption_resolution,[],[f1794,f232]) ).
fof(f1809,plain,
( spl4_27
| spl4_25
| spl4_35
| ~ spl4_1
| ~ spl4_17
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f1801,f231,f174,f56,f419,f239,f263]) ).
fof(f1824,plain,
( greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),growth_rate(first_movers,sK3(equilibrium(sK2))))
| ~ spl4_22
| ~ spl4_40 ),
inference(superposition,[],[f224,f454]) ).
fof(f1846,plain,
( greater(zero,growth_rate(first_movers,sK3(equilibrium(sK2))))
| ~ spl4_22
| ~ spl4_24
| ~ spl4_40 ),
inference(forward_demodulation,[],[f1824,f237]) ).
fof(f1849,plain,
( spl4_26
| ~ spl4_22
| ~ spl4_24
| ~ spl4_40 ),
inference(avatar_split_clause,[],[f1846,f452,f235,f222,f243]) ).
fof(f1850,plain,
( ~ greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| ~ spl4_23
| ~ spl4_26 ),
inference(forward_subsumption_resolution,[],[f564,f232]) ).
fof(f1851,plain,
( spl4_48
| ~ spl4_26
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f568,f263,f243,f712]) ).
fof(f1852,plain,
( ~ greater(zero,zero)
| ~ spl4_23
| ~ spl4_24
| ~ spl4_26 ),
inference(forward_subsumption_resolution,[],[f1438,f232]) ).
fof(f1860,plain,
( ~ greater(zero,growth_rate(first_movers,sK3(equilibrium(sK2))))
| ~ spl4_17
| spl4_56 ),
inference(forward_demodulation,[],[f1196,f176]) ).
fof(f1862,plain,
( ~ greater(zero,zero)
| ~ greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| ~ spl4_23
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f569,f232]) ).
fof(f1864,plain,
( ~ spl4_48
| ~ spl4_23
| ~ spl4_24
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f1852,f243,f235,f231,f712]) ).
fof(f1867,plain,
( ~ spl4_26
| ~ spl4_17
| spl4_56 ),
inference(avatar_split_clause,[],[f1860,f1195,f174,f243]) ).
fof(f1868,plain,
( ~ greater(zero,zero)
| ~ greater(zero,zero)
| ~ spl4_23
| ~ spl4_24
| ~ spl4_27 ),
inference(forward_demodulation,[],[f1862,f237]) ).
fof(f1869,plain,
( ~ greater(zero,zero)
| ~ spl4_23
| ~ spl4_24
| ~ spl4_27 ),
inference(duplicate_literal_removal,[],[f1868]) ).
fof(f1870,plain,
( ~ spl4_48
| ~ spl4_23
| ~ spl4_24
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f1869,f263,f235,f231,f712]) ).
fof(f1876,plain,
( zero != growth_rate(efficient_producers,sK3(equilibrium(sK2)))
| ~ spl4_17
| spl4_54 ),
inference(forward_demodulation,[],[f1185,f176]) ).
fof(f1877,plain,
( greater(zero,growth_rate(first_movers,sK3(equilibrium(sK2))))
| ~ spl4_17
| ~ spl4_56 ),
inference(forward_demodulation,[],[f1197,f176]) ).
fof(f1882,plain,
( ~ greater(growth_rate(efficient_producers,sK3(equilibrium(sK2))),zero)
| ~ spl4_5
| ~ spl4_17
| ~ spl4_56 ),
inference(forward_demodulation,[],[f1248,f176]) ).
fof(f1884,plain,
( ~ spl4_35
| ~ spl4_23
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f1850,f243,f231,f419]) ).
fof(f1888,plain,
( ~ spl4_24
| ~ spl4_17
| spl4_54 ),
inference(avatar_split_clause,[],[f1876,f1184,f174,f235]) ).
fof(f1889,plain,
( spl4_26
| ~ spl4_17
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f1877,f1195,f174,f243]) ).
fof(f1892,plain,
( ~ spl4_35
| ~ spl4_5
| ~ spl4_17
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f1882,f1195,f174,f80,f419]) ).
fof(f1970,plain,
( ~ greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero)
| ~ spl4_17
| spl4_55 ),
inference(forward_demodulation,[],[f1190,f176]) ).
fof(f1971,plain,
( $false
| ~ spl4_17
| ~ spl4_25
| spl4_55 ),
inference(forward_subsumption_resolution,[],[f1970,f241]) ).
fof(f1972,plain,
( ~ spl4_17
| ~ spl4_25
| spl4_55 ),
inference(avatar_contradiction_clause,[],[f1971]) ).
fof(f1987,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK3(equilibrium(sK2))))
| spl4_30
| ~ spl4_40 ),
inference(forward_demodulation,[],[f362,f454]) ).
fof(f1988,plain,
( $false
| ~ spl4_28
| spl4_30
| ~ spl4_40 ),
inference(forward_subsumption_resolution,[],[f1987,f276]) ).
fof(f1989,plain,
( ~ spl4_28
| spl4_30
| ~ spl4_40 ),
inference(avatar_contradiction_clause,[],[f1988]) ).
fof(f2005,plain,
( ~ greater(growth_rate(first_movers,sK3(equilibrium(sK2))),zero)
| spl4_34
| ~ spl4_40 ),
inference(forward_demodulation,[],[f384,f454]) ).
fof(f2006,plain,
( $false
| ~ spl4_25
| spl4_34
| ~ spl4_40 ),
inference(forward_subsumption_resolution,[],[f2005,f241]) ).
fof(f2007,plain,
( ~ spl4_25
| spl4_34
| ~ spl4_40 ),
inference(avatar_contradiction_clause,[],[f2006]) ).
cnf(s5,plain,
spl4_5,
inference(sat_conversion,[],[f103]) ).
cnf(s9,plain,
( ~ spl4_6
| spl4_8
| spl4_11
| ~ spl4_13
| spl4_15 ),
inference(sat_conversion,[],[f151]) ).
cnf(s15,plain,
( spl4_16
| spl4_17 ),
inference(sat_conversion,[],[f177]) ).
cnf(s16,plain,
( spl4_13
| ~ spl4_16 ),
inference(sat_conversion,[],[f182]) ).
cnf(s19,plain,
( ~ spl4_21
| spl4_22 ),
inference(sat_conversion,[],[f225]) ).
cnf(s20,plain,
( ~ spl4_23
| spl4_24
| spl4_25
| spl4_26 ),
inference(sat_conversion,[],[f246]) ).
cnf(s22,plain,
spl4_21,
inference(sat_conversion,[],[f252]) ).
cnf(s25,plain,
( ~ spl4_23
| spl4_24
| spl4_26
| spl4_28 ),
inference(sat_conversion,[],[f277]) ).
cnf(s30,plain,
( ~ spl4_2
| ~ spl4_5
| spl4_7
| spl4_12
| ~ spl4_13
| spl4_14 ),
inference(sat_conversion,[],[f298]) ).
cnf(s42,plain,
( ~ spl4_13
| spl4_16
| spl4_17 ),
inference(sat_conversion,[],[f390]) ).
cnf(s45,plain,
( ~ spl4_23
| spl4_24
| spl4_25
| spl4_35 ),
inference(sat_conversion,[],[f422]) ).
cnf(s46,plain,
( ~ spl4_23
| spl4_25
| spl4_27
| spl4_35 ),
inference(sat_conversion,[],[f423]) ).
cnf(s47,plain,
( ~ spl4_23
| spl4_24
| spl4_28
| spl4_35 ),
inference(sat_conversion,[],[f424]) ).
cnf(s48,plain,
( ~ spl4_23
| spl4_27
| spl4_28
| spl4_35 ),
inference(sat_conversion,[],[f425]) ).
cnf(s50,plain,
( ~ spl4_17
| spl4_23 ),
inference(sat_conversion,[],[f429]) ).
cnf(s53,plain,
( ~ spl4_16
| ~ spl4_18
| spl4_38 ),
inference(sat_conversion,[],[f456]) ).
cnf(s54,plain,
( spl4_3
| spl4_4
| ~ spl4_21 ),
inference(sat_conversion,[],[f457]) ).
cnf(s66,plain,
( ~ spl4_38
| spl4_44 ),
inference(sat_conversion,[],[f530]) ).
cnf(s97,plain,
( ~ spl4_3
| ~ spl4_21
| spl4_30
| spl4_32
| spl4_33
| ~ spl4_38 ),
inference(sat_conversion,[],[f652]) ).
cnf(s100,plain,
( ~ spl4_3
| ~ spl4_21
| ~ spl4_22
| spl4_29
| spl4_31
| ~ spl4_38 ),
inference(sat_conversion,[],[f655]) ).
cnf(s104,plain,
( ~ spl4_22
| ~ spl4_30
| spl4_33 ),
inference(sat_conversion,[],[f693]) ).
cnf(s105,plain,
( ~ spl4_22
| spl4_31
| ~ spl4_34 ),
inference(sat_conversion,[],[f694]) ).
cnf(s106,plain,
( ~ spl4_21
| ~ spl4_31
| ~ spl4_33 ),
inference(sat_conversion,[],[f695]) ).
cnf(s107,plain,
( ~ spl4_22
| ~ spl4_29
| spl4_31 ),
inference(sat_conversion,[],[f701]) ).
cnf(s108,plain,
( ~ spl4_21
| ~ spl4_29
| ~ spl4_30
| ~ spl4_31 ),
inference(sat_conversion,[],[f703]) ).
cnf(s111,plain,
( ~ spl4_21
| ~ spl4_29
| ~ spl4_31
| ~ spl4_48 ),
inference(sat_conversion,[],[f715]) ).
cnf(s116,plain,
( ~ spl4_4
| ~ spl4_21
| ~ spl4_42
| spl4_47 ),
inference(sat_conversion,[],[f737]) ).
cnf(s119,plain,
( ~ spl4_22
| ~ spl4_32
| spl4_33 ),
inference(sat_conversion,[],[f740]) ).
cnf(s121,plain,
( ~ spl4_4
| ~ spl4_31
| spl4_43 ),
inference(sat_conversion,[],[f767]) ).
cnf(s123,plain,
( ~ spl4_4
| ~ spl4_21
| ~ spl4_43
| ~ spl4_47 ),
inference(sat_conversion,[],[f771]) ).
cnf(s128,plain,
( ~ spl4_4
| spl4_30
| ~ spl4_42 ),
inference(sat_conversion,[],[f792]) ).
cnf(s145,plain,
( ~ spl4_4
| ~ spl4_21
| spl4_41
| spl4_42
| spl4_43
| ~ spl4_44 ),
inference(sat_conversion,[],[f831]) ).
cnf(s147,plain,
( ~ spl4_4
| ~ spl4_21
| spl4_41
| spl4_42
| ~ spl4_44
| spl4_47 ),
inference(sat_conversion,[],[f833]) ).
cnf(s148,plain,
( ~ spl4_4
| ~ spl4_21
| spl4_42
| ~ spl4_44
| spl4_45
| spl4_47 ),
inference(sat_conversion,[],[f834]) ).
cnf(s152,plain,
( ~ spl4_43
| ~ spl4_45
| spl4_48 ),
inference(sat_conversion,[],[f847]) ).
cnf(s160,plain,
( ~ spl4_4
| spl4_29
| ~ spl4_41 ),
inference(sat_conversion,[],[f894]) ).
cnf(s201,plain,
( ~ spl4_4
| spl4_34
| ~ spl4_46 ),
inference(sat_conversion,[],[f1001]) ).
cnf(s209,plain,
( spl4_18
| spl4_19
| spl4_20 ),
inference(sat_conversion,[],[f1035]) ).
cnf(s211,plain,
( ~ spl4_4
| ~ spl4_21
| spl4_41
| spl4_43
| ~ spl4_44
| spl4_46 ),
inference(sat_conversion,[],[f1037]) ).
cnf(s214,plain,
( spl4_17
| ~ spl4_20
| ~ spl4_40 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s218,plain,
( spl4_10
| ~ spl4_20 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s222,plain,
( spl4_10
| ~ spl4_19 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s223,plain,
( ~ spl4_2
| ~ spl4_5
| spl4_9
| ~ spl4_10 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s225,plain,
( spl4_8
| ~ spl4_9
| ~ spl4_15 ),
inference(sat_conversion,[],[f1089]) ).
cnf(s227,plain,
( spl4_7
| ~ spl4_9
| ~ spl4_12 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s228,plain,
( spl4_8
| ~ spl4_9
| ~ spl4_11 ),
inference(sat_conversion,[],[f1114]) ).
cnf(s229,plain,
( spl4_1
| spl4_2
| ~ spl4_5 ),
inference(sat_conversion,[],[f1115]) ).
cnf(s242,plain,
( ~ spl4_1
| ~ spl4_5
| ~ spl4_19
| ~ spl4_54
| spl4_56 ),
inference(sat_conversion,[],[f1241]) ).
cnf(s244,plain,
( ~ spl4_5
| ~ spl4_53
| ~ spl4_56 ),
inference(sat_conversion,[],[f1252]) ).
cnf(s246,plain,
( ~ spl4_1
| ~ spl4_5
| ~ spl4_19
| ~ spl4_52
| spl4_56 ),
inference(sat_conversion,[],[f1288]) ).
cnf(s247,plain,
( ~ spl4_1
| ~ spl4_5
| ~ spl4_19
| spl4_53
| ~ spl4_55 ),
inference(sat_conversion,[],[f1289]) ).
cnf(s252,plain,
( ~ spl4_2
| ~ spl4_5
| ~ spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f1312]) ).
cnf(s263,plain,
( ~ spl4_48
| spl4_53
| ~ spl4_54 ),
inference(sat_conversion,[],[f1330]) ).
cnf(s265,plain,
( ~ spl4_5
| ~ spl4_48
| ~ spl4_54
| ~ spl4_56 ),
inference(sat_conversion,[],[f1332]) ).
cnf(s278,plain,
( ~ spl4_1
| ~ spl4_5
| ~ spl4_16
| spl4_52
| spl4_54
| spl4_56 ),
inference(sat_conversion,[],[f1350]) ).
cnf(s285,plain,
( ~ spl4_1
| ~ spl4_5
| ~ spl4_16
| spl4_51
| spl4_53
| spl4_55 ),
inference(sat_conversion,[],[f1379]) ).
cnf(s286,plain,
( ~ spl4_1
| ~ spl4_5
| ~ spl4_16
| spl4_53
| spl4_54
| spl4_55 ),
inference(sat_conversion,[],[f1380]) ).
cnf(s291,plain,
( spl4_48
| ~ spl4_51
| ~ spl4_56 ),
inference(sat_conversion,[],[f1398]) ).
cnf(s294,plain,
( ~ spl4_17
| ~ spl4_18
| spl4_38 ),
inference(sat_conversion,[],[f1427]) ).
cnf(s295,plain,
( ~ spl4_17
| ~ spl4_18
| spl4_44 ),
inference(sat_conversion,[],[f1428]) ).
cnf(s300,plain,
( ~ spl4_2
| ~ spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f1439]) ).
cnf(s333,plain,
( ~ spl4_2
| ~ spl4_5
| spl4_7
| ~ spl4_10
| ~ spl4_14 ),
inference(sat_conversion,[],[f1530]) ).
cnf(s337,plain,
( spl4_38
| spl4_40
| ~ spl4_44 ),
inference(sat_conversion,[],[f1535]) ).
cnf(s339,plain,
( ~ spl4_20
| spl4_44 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s350,plain,
( ~ spl4_17
| ~ spl4_28
| spl4_52 ),
inference(sat_conversion,[],[f1577]) ).
cnf(s359,plain,
( spl4_13
| ~ spl4_17 ),
inference(sat_conversion,[],[f1602]) ).
cnf(s398,plain,
( ~ spl4_1
| ~ spl4_17
| ~ spl4_23
| spl4_25
| spl4_27
| spl4_35 ),
inference(sat_conversion,[],[f1809]) ).
cnf(s412,plain,
( ~ spl4_22
| ~ spl4_24
| spl4_26
| ~ spl4_40 ),
inference(sat_conversion,[],[f1849]) ).
cnf(s413,plain,
( ~ spl4_26
| ~ spl4_27
| spl4_48 ),
inference(sat_conversion,[],[f1851]) ).
cnf(s416,plain,
( ~ spl4_23
| ~ spl4_24
| ~ spl4_26
| ~ spl4_48 ),
inference(sat_conversion,[],[f1864]) ).
cnf(s419,plain,
( ~ spl4_17
| ~ spl4_26
| spl4_56 ),
inference(sat_conversion,[],[f1867]) ).
cnf(s421,plain,
( ~ spl4_23
| ~ spl4_24
| ~ spl4_27
| ~ spl4_48 ),
inference(sat_conversion,[],[f1870]) ).
cnf(s423,plain,
( ~ spl4_23
| ~ spl4_26
| ~ spl4_35 ),
inference(sat_conversion,[],[f1884]) ).
cnf(s427,plain,
( ~ spl4_17
| ~ spl4_24
| spl4_54 ),
inference(sat_conversion,[],[f1888]) ).
cnf(s428,plain,
( ~ spl4_17
| spl4_26
| ~ spl4_56 ),
inference(sat_conversion,[],[f1889]) ).
cnf(s429,plain,
( ~ spl4_5
| ~ spl4_17
| ~ spl4_35
| ~ spl4_56 ),
inference(sat_conversion,[],[f1892]) ).
cnf(s444,plain,
( ~ spl4_17
| ~ spl4_25
| spl4_55 ),
inference(sat_conversion,[],[f1972]) ).
cnf(s445,plain,
( ~ spl4_28
| spl4_30
| ~ spl4_40 ),
inference(sat_conversion,[],[f1989]) ).
cnf(s446,plain,
( ~ spl4_25
| spl4_34
| ~ spl4_40 ),
inference(sat_conversion,[],[f2007]) ).
cnf(s447,plain,
spl4_22,
inference(rat,[],[s19,s22]) ).
cnf(s450,plain,
spl4_13,
inference(rat,[],[s15,s16,s359]) ).
cnf(s451,plain,
( spl4_25
| spl4_24
| ~ spl4_23 ),
inference(rat,[],[s423,s20,s45]) ).
cnf(s452,plain,
( spl4_42
| spl4_41
| ~ spl4_44
| ~ spl4_4 ),
inference(rat,[],[s123,s147,s145,s22]) ).
cnf(s453,plain,
( spl4_41
| ~ spl4_44
| ~ spl4_4 ),
inference(rat,[],[s201,s105,s211,s121,s123,s116,s452,s22,s447]) ).
cnf(s454,plain,
( ~ spl4_44
| ~ spl4_4 ),
inference(rat,[],[s148,s128,s152,s123,s108,s111,s121,s107,s160,s453,s447,s22]) ).
cnf(s455,plain,
( ~ spl4_18
| spl4_44 ),
inference(rat,[],[s15,s53,s295,s66]) ).
cnf(s456,plain,
( spl4_7
| ~ spl4_10
| ~ spl4_2 ),
inference(rat,[],[s30,s227,s333,s223,s5,s450]) ).
cnf(s457,plain,
( ~ spl4_10
| ~ spl4_2 ),
inference(rat,[],[s9,s225,s228,s252,s456,s223,s300,s450,s5]) ).
cnf(s458,plain,
( spl4_31
| ~ spl4_38
| ~ spl4_3 ),
inference(rat,[],[s100,s107,s22,s447]) ).
cnf(s459,plain,
( ~ spl4_38
| ~ spl4_3 ),
inference(rat,[],[s97,s104,s119,s106,s458,s447,s22]) ).
cnf(s460,plain,
( spl4_38
| ~ spl4_18 ),
inference(rat,[],[s42,s294,s53,s450]) ).
cnf(s461,plain,
~ spl4_18,
inference(rat,[],[s460,s459,s54,s454,s455,s22]) ).
cnf(s462,plain,
( spl4_24
| ~ spl4_17
| ~ spl4_19 ),
inference(rat,[],[s25,s350,s419,s246,s244,s247,s444,s451,s229,s457,s222,s50,s5]) ).
cnf(s463,plain,
( ~ spl4_17
| ~ spl4_19 ),
inference(rat,[],[s46,s444,s413,s247,s265,s428,s429,s244,s242,s427,s462,s50,s229,s457,s222,s5]) ).
cnf(s464,plain,
( spl4_53
| ~ spl4_19 ),
inference(rat,[],[s291,s263,s242,s286,s285,s247,s229,s457,s222,s15,s463,s5]) ).
cnf(s465,plain,
~ spl4_19,
inference(rat,[],[s278,s242,s246,s244,s464,s15,s463,s229,s457,s222,s5]) ).
cnf(s466,plain,
spl4_20,
inference(rat,[],[s209,s461,s465]) ).
cnf(s467,plain,
spl4_44,
inference(rat,[],[s339,s466]) ).
cnf(s468,plain,
spl4_10,
inference(rat,[],[s218,s466]) ).
cnf(s469,plain,
~ spl4_4,
inference(rat,[],[s454,s467]) ).
cnf(s470,plain,
~ spl4_2,
inference(rat,[],[s457,s468]) ).
cnf(s471,plain,
spl4_3,
inference(rat,[],[s54,s22,s469]) ).
cnf(s472,plain,
spl4_1,
inference(rat,[],[s229,s5,s470]) ).
cnf(s473,plain,
~ spl4_38,
inference(rat,[],[s459,s471]) ).
cnf(s474,plain,
spl4_40,
inference(rat,[],[s337,s467,s473]) ).
cnf(s478,plain,
spl4_17,
inference(rat,[],[s214,s466,s474]) ).
cnf(s481,plain,
spl4_23,
inference(rat,[],[s50,s478]) ).
cnf(s482,plain,
( spl4_25
| ~ spl4_26
| spl4_35 ),
inference(rat,[],[s413,s416,s398,s451,s481,s472,s478]) ).
cnf(s483,plain,
( ~ spl4_26
| spl4_35 ),
inference(rat,[],[s421,s413,s47,s48,s445,s104,s106,s105,s446,s482,s22,s447,s474,s481]) ).
cnf(s484,plain,
( spl4_26
| spl4_24 ),
inference(rat,[],[s106,s105,s104,s446,s445,s20,s25,s481,s474,s447,s22]) ).
cnf(s485,plain,
spl4_26,
inference(rat,[],[s484,s412,s447,s474]) ).
cnf(s486,plain,
~ spl4_35,
inference(rat,[],[s423,s481,s485]) ).
cnf(s488,plain,
$false,
inference(rat,[],[s483,s486,s485]) ).
fof(f2008,plain,
$false,
inference(avatar_sat_refutation,[],[s488]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT029+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n010.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 17:22:02 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49 % (1185391)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (1185397)% WARNING: option uhcvi not known.
% 0.17/0.49 % (1185397)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3475458275:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (1185396)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=811808671_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % (1185398)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2597806755:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (1185399)dis+10_1_sil=32000:sp=arity:random_seed=2964165010:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (1185402)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3363983962:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % (1185400)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1807280003:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (1185401)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3111483397:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % TRYING [3]
% 0.17/0.49 % (1185397) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1185391-1185397"...
% 0.17/0.49 % (1185397)...printing done.
% 0.17/0.49 % (1185397)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (1185397)------------------------------
% 0.17/0.50 % (1185397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (1185397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (1185397)CaDiCaL version: 2.1.3
% 0.17/0.50 % (1185397)Termination reason: Refutation
% 0.17/0.50 % (1185397)Time elapsed: 0.033 s
% 0.17/0.50 % (1185397)Peak memory usage: 13 MB
% 0.17/0.50 % (1185397)Instructions burned: 97 (million)
% 0.17/0.50 % (1185391)Success in time 0.069 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------