%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT035-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:02:07 PM UTC 2026
% Result : Unsatisfiable 0.97s 0.94s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 57
% Syntax : Number of formulae : 347 ( 28 unt; 39 def)
% Number of atoms : 1058 ( 54 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 1308 ( 597 ~; 672 |; 0 &)
% ( 39 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 48 ( 46 usr; 40 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 98 ( 0 sgn 98 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_22) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ 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_23) ).
fof(f3,plain,
! [X2,X0,X1] :
( greater(X1,X2)
| ~ in_environment(X0,X2)
| greater(X2,X1)
| X1 = X2
| ~ in_environment(X0,X1) ),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] :
( greater(X0,X1)
| ~ greater_or_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_24) ).
fof(f5,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_25) ).
fof(f6,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_26) ).
fof(f7,axiom,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ subpopulations(X1,X2,X0,X3)
| ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ greater(zero,growth_rate(X1,X3))
| outcompetes(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_27) ).
fof(f10,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_30) ).
fof(f11,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| zero = growth_rate(first_movers,X1)
| greater(growth_rate(first_movers,X1),zero)
| ~ environment(X0) ),
inference(reorient_equations,[],[f10]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_33) ).
fof(f17,plain,
! [X0,X1] :
( greater(zero,growth_rate(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| zero = growth_rate(first_movers,X1)
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(reorient_equations,[],[f16]) ).
fof(f24,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_37) ).
fof(f25,plain,
! [X0,X1] :
( greater(zero,growth_rate(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| zero = growth_rate(efficient_producers,X1)
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,axiom,
! [X0] :
( in_environment(X0,sk1(X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_38) ).
fof(f27,axiom,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk1(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_39) ).
fof(f28,axiom,
! [X0] :
( in_environment(X0,sk2(X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_40) ).
fof(f29,axiom,
! [X0] :
( greater_or_equal(sk2(X0),equilibrium(X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_41) ).
fof(f30,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_42) ).
fof(f31,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_43) ).
fof(f32,negated_conjecture,
! [X0] :
( subpopulations(first_movers,efficient_producers,sk3,sk4(X0))
| ~ in_environment(sk3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_44) ).
fof(f33,negated_conjecture,
! [X0] :
( greater_or_equal(sk4(X0),X0)
| ~ in_environment(sk3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_45) ).
fof(f34,negated_conjecture,
! [X0] :
( ~ outcompetes(efficient_producers,first_movers,sk4(X0))
| ~ in_environment(sk3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t4_46) ).
fof(f35,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f6]) ).
fof(f36,plain,
! [X2,X0,X1] :
( outcompetes(X1,X0,X2)
| ~ greater_or_equal(growth_rate(X1,X2),zero)
| ~ greater(zero,growth_rate(X0,X2))
| ~ subpopulations(X0,X1,sk3,X2) ),
inference(resolution,[],[f7,f30]) ).
fof(f37,plain,
! [X0] :
( ~ greater_or_equal(growth_rate(efficient_producers,sk4(X0)),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(X0)))
| ~ subpopulations(first_movers,efficient_producers,sk3,sk4(X0))
| ~ in_environment(sk3,X0) ),
inference(resolution,[],[f36,f34]) ).
fof(f38,plain,
! [X0] :
( ~ greater_or_equal(growth_rate(efficient_producers,sk4(X0)),zero)
| ~ greater(zero,growth_rate(first_movers,sk4(X0)))
| ~ in_environment(sk3,X0) ),
inference(forward_subsumption_resolution,[],[f37,f32]) ).
fof(f40,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| ~ greater(zero,growth_rate(first_movers,sk4(X0)))
| ~ greater(growth_rate(efficient_producers,sk4(X0)),zero) ),
inference(resolution,[],[f38,f5]) ).
fof(f41,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[],[f40,f26]) ).
fof(f42,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[],[f40,f28]) ).
fof(f43,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ environment(sk3) ),
inference(forward_subsumption_resolution,[],[f42,f31]) ).
fof(f44,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ environment(sk3) ),
inference(forward_subsumption_resolution,[],[f41,f31]) ).
fof(f45,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
inference(forward_subsumption_resolution,[],[f43,f30]) ).
fof(f46,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
inference(forward_subsumption_resolution,[],[f44,f30]) ).
fof(f48,definition,
( spl0_1
<=> greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f50,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| spl0_1 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f52,definition,
( spl0_2
<=> greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f54,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| spl0_2 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f45,f52,f48]) ).
fof(f57,definition,
( spl0_3
<=> greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f59,plain,
( ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| spl0_3 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f61,definition,
( spl0_4
<=> greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f63,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| spl0_4 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f46,f61,f57]) ).
fof(f70,definition,
( spl0_5
<=> zero = growth_rate(efficient_producers,sk4(sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f71,plain,
( zero != growth_rate(efficient_producers,sk4(sk2(sk3)))
| spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f72,plain,
( zero = growth_rate(efficient_producers,sk4(sk2(sk3)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f79,definition,
( spl0_7
<=> greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f80,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| spl0_7 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f87,definition,
( spl0_9
<=> greater(growth_rate(first_movers,sk4(sk2(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f91,definition,
( spl0_10
<=> zero = growth_rate(first_movers,sk4(sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f93,plain,
( zero = growth_rate(first_movers,sk4(sk2(sk3)))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f95,definition,
( spl0_11
<=> ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ environment(X0)
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f96,plain,
( ! [X0] :
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(X0))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3))) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f95]) ).
fof(f122,definition,
( spl0_14
<=> zero = growth_rate(first_movers,sk4(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f124,plain,
( zero = growth_rate(first_movers,sk4(sk1(sk3)))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f131,definition,
( spl0_16
<=> greater(growth_rate(first_movers,sk4(sk1(sk3))),zero) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f139,definition,
( spl0_18
<=> ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ environment(X0)
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f140,plain,
( ! [X0] :
( ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(X0))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3))) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f143,definition,
( spl0_19
<=> zero = growth_rate(efficient_producers,sk4(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f145,plain,
( zero = growth_rate(efficient_producers,sk4(sk1(sk3)))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f160,definition,
( spl0_20
<=> ! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3))) ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f161,plain,
( ! [X0] :
( ~ greater_or_equal(sk4(sk2(sk3)),sk1(X0))
| ~ environment(X0)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3))) )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f167,definition,
( spl0_22
<=> greater(zero,zero) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f200,definition,
( spl0_24
<=> ! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3))) ) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f201,plain,
( ! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3))) )
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f200]) ).
fof(f203,definition,
( spl0_25
<=> greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_25])],[avatar_definition]) ).
fof(f204,plain,
( greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f205,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| spl0_25 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f216,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ environment(X0)
| ~ greater(sk4(sk2(sk3)),equilibrium(X0)) )
| ~ spl0_11 ),
inference(resolution,[],[f96,f5]) ).
fof(f236,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(X0))
| zero = growth_rate(first_movers,sk4(sk2(sk3)))
| greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| ~ environment(X0) )
| spl0_1 ),
inference(resolution,[],[f50,f11]) ).
fof(f237,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sk4(sk2(sk3))),X0)
| ~ greater(X0,zero) )
| spl0_1 ),
inference(resolution,[],[f50,f1]) ).
fof(f248,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(X0))
| ~ environment(X0) )
| ~ spl0_5 ),
inference(superposition,[],[f27,f72]) ).
fof(f253,plain,
( ! [X0] :
( ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(X0))
| ~ environment(X0) )
| spl0_2
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f248,f54]) ).
fof(f258,plain,
( spl0_20
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f253,f70,f52,f160]) ).
fof(f268,plain,
( ! [X0] :
( ~ greater(growth_rate(first_movers,sk4(sk2(sk3))),zero)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(X0))
| ~ environment(X0) )
| spl0_1 ),
inference(resolution,[],[f237,f27]) ).
fof(f276,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(X0))
| zero = growth_rate(efficient_producers,sk4(sk1(sk3)))
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) )
| spl0_25 ),
inference(resolution,[],[f205,f25]) ).
fof(f278,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(X0))
| zero = growth_rate(first_movers,sk4(sk1(sk3)))
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,sk4(sk1(sk3)))) )
| spl0_25 ),
inference(resolution,[],[f205,f17]) ).
fof(f294,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(X0))
| zero = growth_rate(first_movers,sk4(sk1(sk3)))
| ~ environment(X0) )
| spl0_4
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f278,f63]) ).
fof(f296,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(X0))
| zero = growth_rate(efficient_producers,sk4(sk1(sk3)))
| ~ environment(X0) )
| spl0_4
| spl0_25 ),
inference(forward_subsumption_resolution,[],[f276,f63]) ).
fof(f297,plain,
( spl0_14
| spl0_18
| spl0_4
| spl0_25 ),
inference(avatar_split_clause,[],[f294,f203,f61,f139,f122]) ).
fof(f298,plain,
( spl0_19
| spl0_18
| spl0_4
| spl0_25 ),
inference(avatar_split_clause,[],[f296,f203,f61,f139,f143]) ).
fof(f302,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),equilibrium(X0))
| zero = growth_rate(first_movers,sk4(sk1(sk3)))
| greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| ~ environment(X0) )
| spl0_3 ),
inference(resolution,[],[f59,f11]) ).
fof(f303,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sk4(sk1(sk3))),X0)
| ~ greater(X0,zero) )
| spl0_3 ),
inference(resolution,[],[f59,f1]) ).
fof(f315,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ greater(zero,X0) )
| spl0_4 ),
inference(resolution,[],[f63,f1]) ).
fof(f320,plain,
( ! [X0] :
( ~ greater(growth_rate(first_movers,sk4(sk1(sk3))),zero)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(X0))
| ~ environment(X0) )
| spl0_3 ),
inference(resolution,[],[f303,f27]) ).
fof(f345,plain,
( ! [X0] :
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk1(sk3))))
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(X0))
| ~ environment(X0) )
| spl0_4 ),
inference(resolution,[],[f315,f27]) ).
fof(f346,plain,
( ! [X0] :
( ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(X0))
| ~ environment(X0) )
| spl0_4
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[],[f345,f204]) ).
fof(f347,plain,
( spl0_24
| spl0_4
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f346,f203,f61,f200]) ).
fof(f432,plain,
( ~ environment(sk3)
| ~ greater(sk4(sk2(sk3)),equilibrium(sk3))
| ~ in_environment(sk3,sk2(sk3))
| ~ spl0_11 ),
inference(resolution,[],[f216,f32]) ).
fof(f433,plain,
( ~ greater(sk4(sk2(sk3)),equilibrium(sk3))
| ~ in_environment(sk3,sk2(sk3))
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f432,f30]) ).
fof(f435,definition,
( spl0_36
<=> in_environment(sk3,sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f436,plain,
( in_environment(sk3,sk2(sk3))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f437,plain,
( ~ in_environment(sk3,sk2(sk3))
| spl0_36 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f439,definition,
( spl0_37
<=> greater(sk4(sk2(sk3)),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f441,plain,
( ~ greater(sk4(sk2(sk3)),equilibrium(sk3))
| spl0_37 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f444,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| spl0_36 ),
inference(resolution,[],[f437,f28]) ).
fof(f445,plain,
( ~ environment(sk3)
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f444,f31]) ).
fof(f446,plain,
( $false
| spl0_36 ),
inference(forward_subsumption_resolution,[],[f445,f30]) ).
fof(f447,plain,
spl0_36,
inference(avatar_contradiction_clause,[],[f446]) ).
fof(f450,plain,
( ! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ greater(sk4(sk2(sk3)),sk1(X0)) )
| ~ spl0_20 ),
inference(resolution,[],[f161,f5]) ).
fof(f455,definition,
( spl0_38
<=> sk4(sk2(sk3)) = equilibrium(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_38])],[avatar_definition]) ).
fof(f457,plain,
( sk4(sk2(sk3)) = equilibrium(sk3)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f459,definition,
( spl0_39
<=> greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_39])],[avatar_definition]) ).
fof(f460,plain,
( greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f461,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| spl0_39 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f471,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3)))
| ~ spl0_24 ),
inference(resolution,[],[f201,f31]) ).
fof(f472,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3)))
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f471,f30]) ).
fof(f474,definition,
( spl0_42
<=> subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_42])],[avatar_definition]) ).
fof(f476,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk1(sk3)))
| spl0_42 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f478,definition,
( spl0_43
<=> greater_or_equal(sk4(sk1(sk3)),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_43])],[avatar_definition]) ).
fof(f480,plain,
( ~ greater_or_equal(sk4(sk1(sk3)),sk1(sk3))
| spl0_43 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f481,plain,
( ~ spl0_42
| ~ spl0_43
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f472,f200,f478,f474]) ).
fof(f498,plain,
( ~ in_environment(sk3,sk1(sk3))
| spl0_42 ),
inference(resolution,[],[f476,f32]) ).
fof(f502,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| spl0_42 ),
inference(resolution,[],[f498,f26]) ).
fof(f503,plain,
( ~ environment(sk3)
| spl0_42 ),
inference(forward_subsumption_resolution,[],[f502,f31]) ).
fof(f504,plain,
( $false
| spl0_42 ),
inference(forward_subsumption_resolution,[],[f503,f30]) ).
fof(f505,plain,
spl0_42,
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f509,plain,
( ~ in_environment(sk3,sk1(sk3))
| spl0_43 ),
inference(resolution,[],[f480,f33]) ).
fof(f527,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| spl0_43 ),
inference(resolution,[],[f509,f26]) ).
fof(f528,plain,
( ~ environment(sk3)
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f527,f31]) ).
fof(f529,plain,
( $false
| spl0_43 ),
inference(forward_subsumption_resolution,[],[f528,f30]) ).
fof(f530,plain,
spl0_43,
inference(avatar_contradiction_clause,[],[f529]) ).
fof(f531,plain,
( spl0_16
| spl0_14
| spl0_18
| spl0_3 ),
inference(avatar_split_clause,[],[f302,f57,f139,f122,f131]) ).
fof(f533,plain,
( spl0_24
| ~ spl0_16
| spl0_3 ),
inference(avatar_split_clause,[],[f320,f57,f131,f200]) ).
fof(f543,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ environment(X0)
| ~ greater(sk4(sk1(sk3)),equilibrium(X0)) )
| ~ spl0_18 ),
inference(resolution,[],[f140,f5]) ).
fof(f546,plain,
( ~ environment(sk3)
| ~ greater(sk4(sk1(sk3)),equilibrium(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_18 ),
inference(resolution,[],[f543,f32]) ).
fof(f547,plain,
( ~ greater(sk4(sk1(sk3)),equilibrium(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f546,f30]) ).
fof(f549,definition,
( spl0_51
<=> in_environment(sk3,sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f550,plain,
( in_environment(sk3,sk1(sk3))
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f551,plain,
( ~ in_environment(sk3,sk1(sk3))
| spl0_51 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f553,definition,
( spl0_52
<=> greater(sk4(sk1(sk3)),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_52])],[avatar_definition]) ).
fof(f555,plain,
( ~ greater(sk4(sk1(sk3)),equilibrium(sk3))
| spl0_52 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f557,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| spl0_51 ),
inference(resolution,[],[f551,f26]) ).
fof(f558,plain,
( ~ environment(sk3)
| spl0_51 ),
inference(forward_subsumption_resolution,[],[f557,f31]) ).
fof(f559,plain,
( $false
| spl0_51 ),
inference(forward_subsumption_resolution,[],[f558,f30]) ).
fof(f560,plain,
spl0_51,
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f589,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sk4(sk1(sk3))),zero)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(X0))
| ~ environment(X0) )
| ~ spl0_14 ),
inference(superposition,[],[f27,f124]) ).
fof(f606,plain,
( spl0_24
| spl0_3
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f589,f122,f57,f200]) ).
fof(f613,plain,
( ~ greater_or_equal(zero,zero)
| ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_19 ),
inference(superposition,[],[f38,f145]) ).
fof(f617,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(X0))
| ~ environment(X0) )
| ~ spl0_19 ),
inference(superposition,[],[f27,f145]) ).
fof(f622,plain,
( ! [X0] :
( greater(zero,zero)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3)))
| ~ greater_or_equal(sk4(sk1(sk3)),sk1(X0))
| ~ environment(X0) )
| ~ spl0_14
| ~ spl0_19 ),
inference(forward_demodulation,[],[f617,f124]) ).
fof(f623,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ in_environment(sk3,sk1(sk3))
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f613,f35]) ).
fof(f627,plain,
( ~ greater(zero,growth_rate(first_movers,sk4(sk1(sk3))))
| ~ spl0_19
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f623,f550]) ).
fof(f629,plain,
( ~ greater(zero,zero)
| ~ spl0_14
| ~ spl0_19
| ~ spl0_51 ),
inference(forward_demodulation,[],[f627,f124]) ).
fof(f641,plain,
( spl0_24
| spl0_22
| ~ spl0_14
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f622,f143,f122,f167,f200]) ).
fof(f642,plain,
( ~ spl0_22
| ~ spl0_14
| ~ spl0_19
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f629,f549,f143,f122,f167]) ).
fof(f644,plain,
( ~ greater(sk4(sk1(sk3)),equilibrium(sk3))
| ~ spl0_18
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[],[f547,f550]) ).
fof(f646,plain,
( ~ spl0_52
| ~ spl0_18
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f644,f549,f139,f553]) ).
fof(f654,plain,
( ! [X0] :
( ~ greater(sk4(sk1(sk3)),X0)
| ~ greater(X0,equilibrium(sk3)) )
| spl0_52 ),
inference(resolution,[],[f555,f1]) ).
fof(f785,plain,
( ! [X0] :
( ~ greater_or_equal(sk4(sk1(sk3)),X0)
| ~ greater(X0,equilibrium(sk3))
| sk4(sk1(sk3)) = X0 )
| spl0_52 ),
inference(resolution,[],[f654,f4]) ).
fof(f821,plain,
( ~ environment(sk3)
| ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3)))
| ~ greater(sk4(sk2(sk3)),sk1(sk3))
| ~ spl0_20 ),
inference(resolution,[],[f450,f31]) ).
fof(f822,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3)))
| ~ greater(sk4(sk2(sk3)),sk1(sk3))
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f821,f30]) ).
fof(f824,definition,
( spl0_69
<=> greater(sk4(sk2(sk3)),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_69])],[avatar_definition]) ).
fof(f826,plain,
( ~ greater(sk4(sk2(sk3)),sk1(sk3))
| spl0_69 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f828,definition,
( spl0_70
<=> subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f829,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3)))
| ~ spl0_70 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f830,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3)))
| spl0_70 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f1240,plain,
( ~ greater(sk1(sk3),equilibrium(sk3))
| sk1(sk3) = sk4(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| spl0_52 ),
inference(resolution,[],[f785,f33]) ).
fof(f1245,definition,
( spl0_104
<=> sk1(sk3) = sk4(sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_104])],[avatar_definition]) ).
fof(f1247,plain,
( sk1(sk3) = sk4(sk1(sk3))
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f1249,definition,
( spl0_105
<=> greater(sk1(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_105])],[avatar_definition]) ).
fof(f1250,plain,
( greater(sk1(sk3),equilibrium(sk3))
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1251,plain,
( ~ greater(sk1(sk3),equilibrium(sk3))
| spl0_105 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1253,plain,
( ~ greater(sk1(sk3),equilibrium(sk3))
| sk1(sk3) = sk4(sk1(sk3))
| ~ spl0_51
| spl0_52 ),
inference(forward_subsumption_resolution,[],[f1240,f550]) ).
fof(f1254,plain,
( spl0_104
| ~ spl0_105
| ~ spl0_51
| spl0_52 ),
inference(avatar_split_clause,[],[f1253,f553,f549,f1249,f1245]) ).
fof(f1259,definition,
( spl0_106
<=> sk1(sk3) = equilibrium(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_106])],[avatar_definition]) ).
fof(f1268,definition,
( spl0_108
<=> greater(equilibrium(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_108])],[avatar_definition]) ).
fof(f1269,plain,
( ~ greater(equilibrium(sk3),sk1(sk3))
| spl0_108 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1270,plain,
( greater(equilibrium(sk3),sk1(sk3))
| ~ spl0_108 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1272,definition,
( spl0_109
<=> ! [X0] :
( ~ in_environment(X0,equilibrium(sk3))
| ~ in_environment(X0,sk1(sk3)) ) ),
introduced(definition,[new_symbols(definition,[spl0_109])],[avatar_definition]) ).
fof(f1273,plain,
( ! [X0] :
( ~ in_environment(X0,equilibrium(sk3))
| ~ in_environment(X0,sk1(sk3)) )
| ~ spl0_109 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1295,plain,
( ! [X0] :
( ~ greater(X0,sk1(sk3))
| ~ greater(sk4(sk2(sk3)),X0) )
| spl0_69 ),
inference(resolution,[],[f826,f1]) ).
fof(f1300,plain,
( ~ in_environment(sk3,sk2(sk3))
| spl0_70 ),
inference(resolution,[],[f830,f32]) ).
fof(f1301,plain,
( $false
| ~ spl0_36
| spl0_70 ),
inference(forward_subsumption_resolution,[],[f1300,f436]) ).
fof(f1302,plain,
( ~ spl0_36
| spl0_70 ),
inference(avatar_contradiction_clause,[],[f1301]) ).
fof(f1317,plain,
( ~ greater(sk1(sk3),equilibrium(sk3))
| spl0_52
| ~ spl0_104 ),
inference(superposition,[],[f555,f1247]) ).
fof(f1347,plain,
( $false
| spl0_52
| ~ spl0_104
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[],[f1317,f1250]) ).
fof(f1348,plain,
( spl0_52
| ~ spl0_104
| ~ spl0_105 ),
inference(avatar_contradiction_clause,[],[f1347]) ).
fof(f1363,plain,
( ! [X0] :
( ~ greater(sk4(sk2(sk3)),X0)
| ~ greater(X0,equilibrium(sk3)) )
| spl0_37 ),
inference(resolution,[],[f441,f1]) ).
fof(f1365,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(sk3))
| sk4(sk2(sk3)) = equilibrium(sk3)
| spl0_37 ),
inference(resolution,[],[f441,f4]) ).
fof(f1366,plain,
( spl0_38
| ~ spl0_39
| spl0_37 ),
inference(avatar_split_clause,[],[f1365,f439,f459,f455]) ).
fof(f1368,plain,
( ! [X0] :
( ~ greater(X0,equilibrium(sk3))
| ~ greater(sk1(sk3),X0) )
| spl0_105 ),
inference(resolution,[],[f1251,f1]) ).
fof(f1406,plain,
( ~ greater(equilibrium(sk3),sk1(sk3))
| ~ spl0_38
| spl0_69 ),
inference(superposition,[],[f826,f457]) ).
fof(f1425,plain,
( ~ spl0_108
| ~ spl0_38
| spl0_69 ),
inference(avatar_split_clause,[],[f1406,f824,f455,f1268]) ).
fof(f1441,plain,
( ! [X0] :
( ~ greater_or_equal(sk4(sk2(sk3)),X0)
| ~ greater(X0,equilibrium(sk3))
| sk4(sk2(sk3)) = X0 )
| spl0_37 ),
inference(resolution,[],[f1363,f4]) ).
fof(f1450,plain,
( ~ greater(sk2(sk3),equilibrium(sk3))
| sk2(sk3) = sk4(sk2(sk3))
| ~ in_environment(sk3,sk2(sk3))
| spl0_37 ),
inference(resolution,[],[f1441,f33]) ).
fof(f1453,plain,
( ~ greater(sk2(sk3),equilibrium(sk3))
| sk2(sk3) = sk4(sk2(sk3))
| ~ spl0_36
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f1450,f436]) ).
fof(f1455,definition,
( spl0_110
<=> sk2(sk3) = sk4(sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_110])],[avatar_definition]) ).
fof(f1456,plain,
( sk2(sk3) != sk4(sk2(sk3))
| spl0_110 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1457,plain,
( sk2(sk3) = sk4(sk2(sk3))
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1455]) ).
fof(f1459,definition,
( spl0_111
<=> greater(sk2(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_111])],[avatar_definition]) ).
fof(f1460,plain,
( greater(sk2(sk3),equilibrium(sk3))
| ~ spl0_111 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1461,plain,
( ~ greater(sk2(sk3),equilibrium(sk3))
| spl0_111 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1462,plain,
( spl0_110
| ~ spl0_111
| ~ spl0_36
| spl0_37 ),
inference(avatar_split_clause,[],[f1453,f439,f435,f1459,f1455]) ).
fof(f1467,definition,
( spl0_112
<=> sk2(sk3) = equilibrium(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_112])],[avatar_definition]) ).
fof(f1469,plain,
( sk2(sk3) = equilibrium(sk3)
| ~ spl0_112 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1471,definition,
( spl0_113
<=> greater_or_equal(sk2(sk3),equilibrium(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_113])],[avatar_definition]) ).
fof(f1472,plain,
( greater_or_equal(sk2(sk3),equilibrium(sk3))
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f1473,plain,
( ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| spl0_113 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f1486,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| spl0_113 ),
inference(resolution,[],[f1473,f29]) ).
fof(f1488,plain,
( ~ environment(sk3)
| spl0_113 ),
inference(forward_subsumption_resolution,[],[f1486,f31]) ).
fof(f1489,plain,
( $false
| spl0_113 ),
inference(forward_subsumption_resolution,[],[f1488,f30]) ).
fof(f1490,plain,
spl0_113,
inference(avatar_contradiction_clause,[],[f1489]) ).
fof(f1492,plain,
( ~ greater(sk1(sk3),sk2(sk3))
| spl0_105
| ~ spl0_111 ),
inference(resolution,[],[f1460,f1368]) ).
fof(f1521,definition,
( spl0_116
<=> sk1(sk3) = sk2(sk3) ),
introduced(definition,[new_symbols(definition,[spl0_116])],[avatar_definition]) ).
fof(f1522,plain,
( sk1(sk3) != sk2(sk3)
| spl0_116 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f1523,plain,
( sk1(sk3) = sk2(sk3)
| ~ spl0_116 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f1530,definition,
( spl0_118
<=> greater(sk2(sk3),sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_118])],[avatar_definition]) ).
fof(f1531,plain,
( ~ greater(sk2(sk3),sk1(sk3))
| spl0_118 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f1532,plain,
( greater(sk2(sk3),sk1(sk3))
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f1530]) ).
fof(f1534,definition,
( spl0_119
<=> ! [X0] :
( ~ in_environment(X0,sk2(sk3))
| ~ in_environment(X0,sk1(sk3)) ) ),
introduced(definition,[new_symbols(definition,[spl0_119])],[avatar_definition]) ).
fof(f1535,plain,
( ! [X0] :
( ~ in_environment(X0,sk2(sk3))
| ~ in_environment(X0,sk1(sk3)) )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f1534]) ).
fof(f1545,plain,
( ! [X0] :
( ~ greater_or_equal(sk4(sk1(sk3)),sk1(X0))
| ~ environment(X0)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk1(sk3))) )
| ~ spl0_20
| ~ spl0_116 ),
inference(superposition,[],[f161,f1523]) ).
fof(f1615,plain,
( spl0_24
| ~ spl0_20
| ~ spl0_116 ),
inference(avatar_split_clause,[],[f1545,f1521,f160,f200]) ).
fof(f1649,plain,
( ~ greater(sk4(sk2(sk3)),sk2(sk3))
| spl0_69
| ~ spl0_118 ),
inference(resolution,[],[f1532,f1295]) ).
fof(f1678,plain,
( ~ greater(sk2(sk3),equilibrium(sk3))
| spl0_37
| ~ spl0_110 ),
inference(superposition,[],[f441,f1457]) ).
fof(f1680,plain,
( ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| spl0_39
| ~ spl0_110 ),
inference(superposition,[],[f461,f1457]) ).
fof(f1689,plain,
( ~ greater(sk2(sk3),sk1(sk3))
| spl0_69
| ~ spl0_110 ),
inference(superposition,[],[f826,f1457]) ).
fof(f1713,plain,
( $false
| spl0_69
| ~ spl0_110
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f1689,f1532]) ).
fof(f1714,plain,
( spl0_69
| ~ spl0_110
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f1713]) ).
fof(f1715,plain,
( $false
| spl0_39
| ~ spl0_110
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f1680,f1472]) ).
fof(f1716,plain,
( spl0_39
| ~ spl0_110
| ~ spl0_113 ),
inference(avatar_contradiction_clause,[],[f1715]) ).
fof(f1718,plain,
( $false
| spl0_37
| ~ spl0_110
| ~ spl0_111 ),
inference(forward_subsumption_resolution,[],[f1678,f1460]) ).
fof(f1719,plain,
( spl0_37
| ~ spl0_110
| ~ spl0_111 ),
inference(avatar_contradiction_clause,[],[f1718]) ).
fof(f1736,plain,
( ~ greater_or_equal(sk2(sk3),equilibrium(sk3))
| sk2(sk3) = equilibrium(sk3)
| spl0_111 ),
inference(resolution,[],[f1461,f4]) ).
fof(f1737,plain,
( sk2(sk3) = equilibrium(sk3)
| spl0_111
| ~ spl0_113 ),
inference(forward_subsumption_resolution,[],[f1736,f1472]) ).
fof(f1738,plain,
( spl0_112
| spl0_111
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f1737,f1471,f1459,f1467]) ).
fof(f1765,plain,
( in_environment(sk3,equilibrium(sk3))
| ~ spl0_36
| ~ spl0_112 ),
inference(superposition,[],[f436,f1469]) ).
fof(f1768,plain,
( ~ greater_or_equal(sk4(equilibrium(sk3)),equilibrium(sk3))
| spl0_39
| ~ spl0_112 ),
inference(superposition,[],[f461,f1469]) ).
fof(f1793,plain,
( sk1(sk3) != equilibrium(sk3)
| ~ spl0_112
| spl0_116 ),
inference(superposition,[],[f1522,f1469]) ).
fof(f1800,plain,
( ~ spl0_106
| ~ spl0_112
| spl0_116 ),
inference(avatar_split_clause,[],[f1793,f1521,f1467,f1259]) ).
fof(f1806,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ spl0_36
| ~ spl0_109
| ~ spl0_112 ),
inference(resolution,[],[f1765,f1273]) ).
fof(f1807,plain,
( $false
| ~ spl0_36
| ~ spl0_51
| ~ spl0_109
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f1806,f550]) ).
fof(f1808,plain,
( ~ spl0_36
| ~ spl0_51
| ~ spl0_109
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f1807]) ).
fof(f1890,plain,
( ~ greater(sk4(sk2(sk3)),equilibrium(sk3))
| spl0_69
| ~ spl0_108 ),
inference(resolution,[],[f1270,f1295]) ).
fof(f2104,plain,
( ~ in_environment(sk3,equilibrium(sk3))
| spl0_39
| ~ spl0_112 ),
inference(resolution,[],[f1768,f33]) ).
fof(f2106,plain,
( $false
| ~ spl0_36
| spl0_39
| ~ spl0_112 ),
inference(forward_subsumption_resolution,[],[f2104,f1765]) ).
fof(f2107,plain,
( ~ spl0_36
| spl0_39
| ~ spl0_112 ),
inference(avatar_contradiction_clause,[],[f2106]) ).
fof(f2109,plain,
( ~ spl0_37
| spl0_69
| ~ spl0_108 ),
inference(avatar_split_clause,[],[f1890,f1268,f824,f439]) ).
fof(f2121,plain,
( ! [X0] :
( ~ in_environment(X0,sk1(sk3))
| greater(sk1(sk3),equilibrium(sk3))
| sk1(sk3) = equilibrium(sk3)
| ~ in_environment(X0,equilibrium(sk3)) )
| spl0_108 ),
inference(resolution,[],[f1269,f3]) ).
fof(f2124,plain,
( ! [X0] :
( ~ in_environment(X0,sk1(sk3))
| sk1(sk3) = equilibrium(sk3)
| ~ in_environment(X0,equilibrium(sk3)) )
| spl0_105
| spl0_108 ),
inference(forward_subsumption_resolution,[],[f2121,f1251]) ).
fof(f2223,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
| sk2(sk3) = sk4(sk2(sk3))
| spl0_69
| ~ spl0_118 ),
inference(resolution,[],[f1649,f4]) ).
fof(f2224,plain,
( ~ greater_or_equal(sk4(sk2(sk3)),sk2(sk3))
| spl0_69
| spl0_110
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f2223,f1456]) ).
fof(f2247,plain,
( ~ in_environment(sk3,sk2(sk3))
| spl0_69
| spl0_110
| ~ spl0_118 ),
inference(resolution,[],[f2224,f33]) ).
fof(f2249,plain,
( $false
| ~ spl0_36
| spl0_69
| spl0_110
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[],[f2247,f436]) ).
fof(f2250,plain,
( ~ spl0_36
| spl0_69
| spl0_110
| ~ spl0_118 ),
inference(avatar_contradiction_clause,[],[f2249]) ).
fof(f2263,plain,
( spl0_9
| spl0_10
| spl0_11
| spl0_1 ),
inference(avatar_split_clause,[],[f236,f48,f95,f91,f87]) ).
fof(f2265,plain,
( spl0_20
| ~ spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f268,f48,f87,f160]) ).
fof(f2284,plain,
( ~ greater(sk4(sk2(sk3)),sk1(sk3))
| ~ spl0_20
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f822,f829]) ).
fof(f2289,plain,
( ~ spl0_69
| ~ spl0_20
| ~ spl0_70 ),
inference(avatar_split_clause,[],[f2284,f828,f160,f824]) ).
fof(f2294,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(first_movers,sk4(sk2(sk3))))
| ~ greater(zero,X0) )
| spl0_2 ),
inference(resolution,[],[f54,f1]) ).
fof(f2303,plain,
( ! [X0] :
( ~ in_environment(X0,sk1(sk3))
| greater(sk1(sk3),sk2(sk3))
| sk1(sk3) = sk2(sk3)
| ~ in_environment(X0,sk2(sk3)) )
| spl0_118 ),
inference(resolution,[],[f1531,f3]) ).
fof(f2306,plain,
( ! [X0] :
( ~ in_environment(X0,sk1(sk3))
| sk1(sk3) = sk2(sk3)
| ~ in_environment(X0,sk2(sk3)) )
| spl0_105
| ~ spl0_111
| spl0_118 ),
inference(forward_subsumption_resolution,[],[f2303,f1492]) ).
fof(f2307,plain,
( ! [X0] :
( ~ in_environment(X0,sk1(sk3))
| ~ in_environment(X0,sk2(sk3)) )
| spl0_105
| ~ spl0_111
| spl0_116
| spl0_118 ),
inference(forward_subsumption_resolution,[],[f2306,f1522]) ).
fof(f2308,plain,
( spl0_119
| spl0_105
| ~ spl0_111
| spl0_116
| spl0_118 ),
inference(avatar_split_clause,[],[f2307,f1530,f1521,f1459,f1249,f1534]) ).
fof(f2317,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sk4(sk2(sk3))),zero)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(X0))
| ~ environment(X0) )
| ~ spl0_10 ),
inference(superposition,[],[f27,f93]) ).
fof(f2321,plain,
( ! [X0] :
( ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(X0))
| ~ environment(X0) )
| spl0_1
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f2317,f50]) ).
fof(f2325,plain,
( spl0_20
| spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f2321,f91,f48,f160]) ).
fof(f2340,plain,
( ! [X0] :
( ~ greater(zero,growth_rate(efficient_producers,sk4(sk2(sk3))))
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ greater_or_equal(sk4(sk2(sk3)),sk1(X0))
| ~ environment(X0) )
| spl0_2 ),
inference(resolution,[],[f2294,f27]) ).
fof(f2428,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ stable(sk3)
| ~ environment(sk3)
| ~ spl0_119 ),
inference(resolution,[],[f1535,f28]) ).
fof(f2432,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f2428,f26]) ).
fof(f2433,plain,
( ~ environment(sk3)
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f2432,f31]) ).
fof(f2434,plain,
( $false
| ~ spl0_119 ),
inference(forward_subsumption_resolution,[],[f2433,f30]) ).
fof(f2435,plain,
~ spl0_119,
inference(avatar_contradiction_clause,[],[f2434]) ).
fof(f2436,plain,
( ~ greater(sk4(sk2(sk3)),equilibrium(sk3))
| ~ spl0_11
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[],[f433,f436]) ).
fof(f2460,plain,
( spl0_106
| spl0_109
| spl0_105
| spl0_108 ),
inference(avatar_split_clause,[],[f2124,f1268,f1249,f1272,f1259]) ).
fof(f2488,plain,
( spl0_20
| ~ spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f2340,f52,f79,f160]) ).
fof(f2489,plain,
( ~ spl0_37
| ~ spl0_11
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f2436,f435,f95,f439]) ).
fof(f2504,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(X0))
| zero = growth_rate(efficient_producers,sk4(sk2(sk3)))
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) )
| spl0_7 ),
inference(resolution,[],[f80,f25]) ).
fof(f2515,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(X0))
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,sk4(sk2(sk3)))) )
| spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f2504,f71]) ).
fof(f2518,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk4(sk2(sk3)))
| ~ greater_or_equal(sk4(sk2(sk3)),equilibrium(X0))
| ~ environment(X0) )
| spl0_2
| spl0_5
| spl0_7 ),
inference(forward_subsumption_resolution,[],[f2515,f54]) ).
fof(f2519,plain,
( spl0_11
| spl0_2
| spl0_5
| spl0_7 ),
inference(avatar_split_clause,[],[f2518,f79,f70,f52,f95]) ).
fof(f2557,plain,
( ~ environment(sk3)
| ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3)))
| ~ spl0_11
| ~ spl0_39 ),
inference(resolution,[],[f96,f460]) ).
fof(f2559,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,sk4(sk2(sk3)))
| ~ spl0_11
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[],[f2557,f30]) ).
fof(f2560,plain,
( $false
| ~ spl0_11
| ~ spl0_39
| ~ spl0_70 ),
inference(forward_subsumption_resolution,[],[f2559,f829]) ).
fof(f2561,plain,
( ~ spl0_11
| ~ spl0_39
| ~ spl0_70 ),
inference(avatar_contradiction_clause,[],[f2560]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f55]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f64]) ).
cnf(s32,plain,
( spl0_2
| ~ spl0_5
| spl0_20 ),
inference(sat_conversion,[],[f258]) ).
cnf(s39,plain,
( spl0_4
| spl0_14
| spl0_18
| spl0_25 ),
inference(sat_conversion,[],[f297]) ).
cnf(s40,plain,
( spl0_4
| spl0_18
| spl0_19
| spl0_25 ),
inference(sat_conversion,[],[f298]) ).
cnf(s46,plain,
( spl0_4
| spl0_24
| ~ spl0_25 ),
inference(sat_conversion,[],[f347]) ).
cnf(s53,plain,
spl0_36,
inference(sat_conversion,[],[f447]) ).
cnf(s56,plain,
( ~ spl0_24
| ~ spl0_42
| ~ spl0_43 ),
inference(sat_conversion,[],[f481]) ).
cnf(s58,plain,
spl0_42,
inference(sat_conversion,[],[f505]) ).
cnf(s60,plain,
spl0_43,
inference(sat_conversion,[],[f530]) ).
cnf(s61,plain,
( spl0_3
| spl0_14
| spl0_16
| spl0_18 ),
inference(sat_conversion,[],[f531]) ).
cnf(s63,plain,
( spl0_3
| ~ spl0_16
| spl0_24 ),
inference(sat_conversion,[],[f533]) ).
cnf(s67,plain,
spl0_51,
inference(sat_conversion,[],[f560]) ).
cnf(s75,plain,
( spl0_3
| ~ spl0_14
| spl0_24 ),
inference(sat_conversion,[],[f606]) ).
cnf(s84,plain,
( ~ spl0_14
| ~ spl0_19
| spl0_22
| spl0_24 ),
inference(sat_conversion,[],[f641]) ).
cnf(s85,plain,
( ~ spl0_14
| ~ spl0_19
| ~ spl0_22
| ~ spl0_51 ),
inference(sat_conversion,[],[f642]) ).
cnf(s89,plain,
( ~ spl0_18
| ~ spl0_51
| ~ spl0_52 ),
inference(sat_conversion,[],[f646]) ).
cnf(s150,plain,
( ~ spl0_51
| spl0_52
| spl0_104
| ~ spl0_105 ),
inference(sat_conversion,[],[f1254]) ).
cnf(s157,plain,
( ~ spl0_36
| spl0_70 ),
inference(sat_conversion,[],[f1302]) ).
cnf(s161,plain,
( spl0_52
| ~ spl0_104
| ~ spl0_105 ),
inference(sat_conversion,[],[f1348]) ).
cnf(s168,plain,
( spl0_37
| spl0_38
| ~ spl0_39 ),
inference(sat_conversion,[],[f1366]) ).
cnf(s175,plain,
( ~ spl0_38
| spl0_69
| ~ spl0_108 ),
inference(sat_conversion,[],[f1425]) ).
cnf(s184,plain,
( ~ spl0_36
| spl0_37
| spl0_110
| ~ spl0_111 ),
inference(sat_conversion,[],[f1462]) ).
cnf(s187,plain,
spl0_113,
inference(sat_conversion,[],[f1490]) ).
cnf(s196,plain,
( ~ spl0_20
| spl0_24
| ~ spl0_116 ),
inference(sat_conversion,[],[f1615]) ).
cnf(s204,plain,
( spl0_69
| ~ spl0_110
| ~ spl0_118 ),
inference(sat_conversion,[],[f1714]) ).
cnf(s205,plain,
( spl0_39
| ~ spl0_110
| ~ spl0_113 ),
inference(sat_conversion,[],[f1716]) ).
cnf(s207,plain,
( spl0_37
| ~ spl0_110
| ~ spl0_111 ),
inference(sat_conversion,[],[f1719]) ).
cnf(s210,plain,
( spl0_111
| spl0_112
| ~ spl0_113 ),
inference(sat_conversion,[],[f1738]) ).
cnf(s212,plain,
( ~ spl0_106
| ~ spl0_112
| spl0_116 ),
inference(sat_conversion,[],[f1800]) ).
cnf(s214,plain,
( ~ spl0_36
| ~ spl0_51
| ~ spl0_109
| ~ spl0_112 ),
inference(sat_conversion,[],[f1808]) ).
cnf(s271,plain,
( ~ spl0_36
| spl0_39
| ~ spl0_112 ),
inference(sat_conversion,[],[f2107]) ).
cnf(s273,plain,
( ~ spl0_37
| spl0_69
| ~ spl0_108 ),
inference(sat_conversion,[],[f2109]) ).
cnf(s289,plain,
( ~ spl0_36
| spl0_69
| spl0_110
| ~ spl0_118 ),
inference(sat_conversion,[],[f2250]) ).
cnf(s293,plain,
( spl0_1
| spl0_9
| spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f2263]) ).
cnf(s294,plain,
( spl0_1
| ~ spl0_9
| spl0_20 ),
inference(sat_conversion,[],[f2265]) ).
cnf(s305,plain,
( ~ spl0_20
| ~ spl0_69
| ~ spl0_70 ),
inference(sat_conversion,[],[f2289]) ).
cnf(s311,plain,
( spl0_105
| ~ spl0_111
| spl0_116
| spl0_118
| spl0_119 ),
inference(sat_conversion,[],[f2308]) ).
cnf(s313,plain,
( spl0_1
| ~ spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f2325]) ).
cnf(s326,plain,
~ spl0_119,
inference(sat_conversion,[],[f2435]) ).
cnf(s341,plain,
( spl0_105
| spl0_106
| spl0_108
| spl0_109 ),
inference(sat_conversion,[],[f2460]) ).
cnf(s351,plain,
( spl0_2
| ~ spl0_7
| spl0_20 ),
inference(sat_conversion,[],[f2488]) ).
cnf(s352,plain,
( ~ spl0_11
| ~ spl0_36
| ~ spl0_37 ),
inference(sat_conversion,[],[f2489]) ).
cnf(s362,plain,
( spl0_2
| spl0_5
| spl0_7
| spl0_11 ),
inference(sat_conversion,[],[f2519]) ).
cnf(s367,plain,
( ~ spl0_11
| ~ spl0_39
| ~ spl0_70 ),
inference(sat_conversion,[],[f2561]) ).
cnf(s368,plain,
( spl0_105
| ~ spl0_111
| spl0_116
| spl0_118 ),
inference(rat,[],[s311,s326]) ).
cnf(s373,plain,
~ spl0_24,
inference(rat,[],[s56,s60,s58]) ).
cnf(s374,plain,
spl0_70,
inference(rat,[],[s157,s53]) ).
cnf(s378,plain,
( spl0_4
| ~ spl0_25 ),
inference(rat,[],[s46,s373]) ).
cnf(s381,plain,
~ spl0_11,
inference(rat,[],[s184,s210,s205,s271,s352,s367,s53,s187,s374]) ).
cnf(s382,plain,
( spl0_39
| spl0_37 ),
inference(rat,[],[s184,s210,s205,s271,s53,s187]) ).
cnf(s383,plain,
( ~ spl0_105
| spl0_52 ),
inference(rat,[],[s150,s161,s67]) ).
cnf(s384,plain,
( ~ spl0_112
| spl0_108
| spl0_116
| spl0_105 ),
inference(rat,[],[s341,s214,s212,s67,s53]) ).
cnf(s385,plain,
( ~ spl0_111
| spl0_37 ),
inference(rat,[],[s207,s184,s53]) ).
cnf(s386,plain,
( spl0_37
| spl0_69
| spl0_116
| spl0_105 ),
inference(rat,[],[s385,s210,s384,s175,s168,s382,s187]) ).
cnf(s387,plain,
( ~ spl0_118
| spl0_69 ),
inference(rat,[],[s204,s289,s53]) ).
cnf(s388,plain,
( spl0_69
| spl0_116
| spl0_105 ),
inference(rat,[],[s387,s368,s210,s384,s273,s386,s187]) ).
cnf(s390,plain,
( ~ spl0_20
| spl0_105 ),
inference(rat,[],[s388,s196,s305,s373,s374]) ).
cnf(s392,plain,
( ~ spl0_14
| ~ spl0_19 ),
inference(rat,[],[s84,s85,s67,s373]) ).
cnf(s393,plain,
( spl0_4
| spl0_25
| spl0_18 ),
inference(rat,[],[s392,s39,s40]) ).
cnf(s394,plain,
( spl0_4
| spl0_18 ),
inference(rat,[],[s393,s378]) ).
cnf(s395,plain,
spl0_18,
inference(rat,[],[s61,s63,s75,s2,s394,s373]) ).
cnf(s396,plain,
~ spl0_52,
inference(rat,[],[s89,s67,s395]) ).
cnf(s397,plain,
~ spl0_105,
inference(rat,[],[s383,s396]) ).
cnf(s398,plain,
~ spl0_20,
inference(rat,[],[s390,s397]) ).
cnf(s399,plain,
spl0_1,
inference(rat,[],[s293,s294,s313,s381,s398]) ).
cnf(s401,plain,
~ spl0_2,
inference(rat,[],[s1,s399]) ).
cnf(s405,plain,
~ spl0_7,
inference(rat,[],[s351,s398,s401]) ).
cnf(s406,plain,
~ spl0_5,
inference(rat,[],[s32,s398,s401]) ).
cnf(s407,plain,
$false,
inference(rat,[],[s362,s381,s401,s406,s405]) ).
fof(f2562,plain,
$false,
inference(avatar_sat_refutation,[],[s407]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT035-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 17:24:41 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.97/0.94 % (3083045)Input is clausal, will run a generic CNF schedule.
% 0.97/0.94 % (3083055)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4292047193:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.97/0.94 % (3083056)dis-21_1_sil=8000:lcm=predicate:random_seed=1368597947:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 0.97/0.94 % (3083050)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1789169490:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.97/0.94 % (3083053)lrs+10_1_sil=8000:sp=occurrence:random_seed=3594930133:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.97/0.94 % (3083051)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=670976815:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.97/0.94 % (3083054)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2130961979:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.97/0.94 % (3083052)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1846910614:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.97/0.94 % (3083055)First to succeed.
% 0.97/0.94 % (3083055)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3083045"
% 0.97/0.94 % (3083056)Instruction limit reached!
% 0.97/0.94 % (3083056)------------------------------
% 0.97/0.94 % (3083056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.97/0.94 % (3083056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.94 % (3083056)CaDiCaL version: 2.1.3
% 0.97/0.94 % (3083056)Termination reason: Instruction limit
% 0.97/0.94 % (3083056)Termination phase: Saturation
% 0.97/0.94 % (3083056)Time elapsed: 0.051 s
% 0.97/0.94 % (3083056)Peak memory usage: 88 MB
% 0.97/0.94 % (3083056)Instructions burned: 120 (million)
% 0.97/0.94 % (3083053)Instruction limit reached!
% 0.97/0.94 % (3083053)------------------------------
% 0.97/0.94 % (3083053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.97/0.94 % (3083053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.94 % (3083053)CaDiCaL version: 2.1.3
% 0.97/0.94 % (3083053)Termination reason: Instruction limit
% 0.97/0.94 % (3083053)Termination phase: Saturation
% 0.97/0.94 % (3083053)Time elapsed: 0.061 s
% 0.97/0.94 % (3083053)Peak memory usage: 89 MB
% 0.97/0.94 % (3083053)Instructions burned: 107 (million)
% 0.97/0.94 % (3083054)Instruction limit reached!
% 0.97/0.94 % (3083054)------------------------------
% 0.97/0.94 % (3083054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.97/0.94 % (3083054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.97/0.94 % (3083054)CaDiCaL version: 2.1.3
% 0.97/0.94 % (3083054)Termination reason: Instruction limit
% 0.97/0.94 % (3083054)Termination phase: Saturation
% 0.97/0.94 % (3083054)Time elapsed: 0.070 s
% 0.97/0.94 % (3083054)Peak memory usage: 89 MB
% 0.97/0.94 % (3083054)Instructions burned: 114 (million)
% 0.97/0.94 % (3083055)Refutation found. Thanks to Tanya!
% 0.97/0.94 % SZS status Unsatisfiable for theBenchmark
% 0.97/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.14 % (3083055)------------------------------
% 0.16/1.14 % (3083055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.14 % (3083055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.14 % (3083055)CaDiCaL version: 2.1.3
% 0.16/1.14 % (3083055)Termination reason: Refutation
% 0.16/1.14 % (3083055)Time elapsed: 0.039 s
% 0.16/1.14 % (3083055)Peak memory usage: 90 MB
% 0.16/1.14 % (3083055)Instructions burned: 102 (million)
% 0.16/1.14 % (3083055)------------------------------
% 0.16/1.14 % (3083055)------------------------------
% 0.16/1.14 % (3083045)Success in time 0.345 s
% 0.16/1.14 % Vampire exiting
%------------------------------------------------------------------------------