%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT039-2 : 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 : n018.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 12:02:10 PM UTC 2026
% Result : Unsatisfiable 3.02s 1.39s
% Output : Refutation 4.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 51
% Syntax : Number of formulae : 289 ( 31 unt; 25 def)
% Number of atoms : 1014 ( 70 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 1359 ( 634 ~; 700 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 37 ( 35 usr; 26 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| selection_favors(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| ~ subpopulation(X3,X0,X2)
| ~ greater(cardinality_at_time(X1,X2),zero)
| cardinality_at_time(X3,X2) != zero
| selection_favors(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp2_favour_members_34) ).
fof(f3,plain,
! [X2,X3,X0,X1] :
( zero != cardinality_at_time(X3,X2)
| ~ subpopulation(X1,X0,X2)
| ~ subpopulation(X3,X0,X2)
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ environment(X0)
| selection_favors(X1,X3,X2) ),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0] :
( ~ observational_period(X0)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| environment(sk1(X0))
| selection_favors(efficient_producers,first_movers,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_35) ).
fof(f5,axiom,
! [X0] :
( ~ observational_period(X0)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| in_environment(X0,sk1(X0))
| selection_favors(efficient_producers,first_movers,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_36) ).
fof(f6,axiom,
! [X0] :
( ~ observational_period(X0)
| ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
| selection_favors(efficient_producers,first_movers,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_37) ).
fof(f7,axiom,
! [X0,X1] :
( ~ slow_change(X0)
| ~ observational_period(X0)
| ~ environment(X1)
| ~ in_environment(X0,X1)
| in_environment(X1,sk2(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_38) ).
fof(f8,axiom,
! [X0,X1] :
( greater(sk2(X1,X0),critical_point(X1))
| ~ slow_change(X0)
| ~ environment(X1)
| ~ in_environment(X0,X1)
| ~ observational_period(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_39) ).
fof(f9,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1_40) ).
fof(f10,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2_41) ).
fof(f11,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,start_time(X0))
| ~ greater_or_equal(end_time(X0),X1)
| in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment_42) ).
fof(f12,axiom,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point_43) ).
fof(f13,axiom,
! [X0,X1] :
( ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| subpopulations(first_movers,efficient_producers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contains_FM_and_EP_44) ).
fof(f14,axiom,
! [X0,X1] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_exist_45) ).
fof(f15,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| subpopulation(first_movers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_46) ).
fof(f16,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| subpopulation(efficient_producers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_47) ).
fof(f17,axiom,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_critical_point_after_EP_48) ).
fof(f18,axiom,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point_49) ).
fof(f19,axiom,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_50) ).
fof(f21,axiom,
! [X0,X1] :
( greater(X0,X1)
| ~ greater_or_equal(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
fof(f22,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_53) ).
fof(f23,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_54) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| X1 != critical_point(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_56) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ environment(X0)
| critical_point(X0) != X1
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,axiom,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_57) ).
fof(f29,negated_conjecture,
observational_period(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_58) ).
fof(f30,negated_conjecture,
slow_change(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_59) ).
fof(f31,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_60) ).
fof(f32,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f23]) ).
fof(f34,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ environment(X0)
| ~ greater(X2,critical_point(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(equality_resolution,[],[f27]) ).
fof(f36,definition,
( spl0_1
<=> propagation_strategy(efficient_producers) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f40,definition,
( spl0_2
<=> propagation_strategy(first_movers) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f44,definition,
( spl0_3
<=> ! [X0] :
( ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0))) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f45,plain,
( ! [X0] :
( ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
| selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f46,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f6,f44,f40,f36]) ).
fof(f48,definition,
( spl0_4
<=> ! [X0] :
( ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sk1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f49,plain,
( ! [X0] :
( in_environment(X0,sk1(X0))
| selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(avatar_split_clause,[],[f5,f48,f40,f36]) ).
fof(f52,definition,
( spl0_5
<=> ! [X0] :
( ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0)
| environment(sk1(X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f53,plain,
( ! [X0] :
( ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0)
| environment(sk1(X0)) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f54,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f4,f52,f40,f36]) ).
fof(f55,plain,
spl0_2,
inference(avatar_split_clause,[],[f9,f40]) ).
fof(f56,plain,
spl0_1,
inference(avatar_split_clause,[],[f10,f36]) ).
fof(f57,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| environment(sk1(sk3))
| ~ spl0_5 ),
inference(resolution,[],[f53,f29]) ).
fof(f58,plain,
( environment(sk1(sk3))
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f57,f31]) ).
fof(f59,plain,
( ! [X0] :
( ~ in_environment(sk1(sk3),X0)
| subpopulation(efficient_producers,sk1(sk3),X0) )
| ~ spl0_5 ),
inference(resolution,[],[f58,f16]) ).
fof(f60,plain,
( ! [X0] :
( subpopulation(first_movers,sk1(sk3),X0)
| ~ in_environment(sk1(sk3),X0) )
| ~ spl0_5 ),
inference(resolution,[],[f58,f15]) ).
fof(f75,plain,
! [X0] :
( ~ observational_period(sk3)
| ~ environment(X0)
| ~ in_environment(sk3,X0)
| in_environment(X0,sk2(X0,sk3)) ),
inference(resolution,[],[f7,f30]) ).
fof(f76,plain,
! [X0] :
( in_environment(X0,sk2(X0,sk3))
| ~ in_environment(sk3,X0)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[],[f75,f29]) ).
fof(f84,definition,
( spl0_10
<=> in_environment(sk3,sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f85,plain,
( in_environment(sk3,sk1(sk3))
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f86,plain,
( ~ in_environment(sk3,sk1(sk3))
| spl0_10 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f88,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| ~ observational_period(sk3)
| ~ spl0_4
| spl0_10 ),
inference(resolution,[],[f86,f49]) ).
fof(f89,plain,
( ~ observational_period(sk3)
| ~ spl0_4
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f88,f31]) ).
fof(f90,plain,
( $false
| ~ spl0_4
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f89,f29]) ).
fof(f91,plain,
( ~ spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f90]) ).
fof(f93,plain,
! [X2,X3,X0,X1,X4] :
( ~ subpopulations(X1,X3,X4,X2)
| ~ greater(growth_rate(X3,X2),X0)
| ~ greater(X0,growth_rate(X1,X2))
| ~ environment(X4)
| selection_favors(X3,X1,X2) ),
inference(resolution,[],[f19,f1]) ).
fof(f96,plain,
! [X2,X3,X0,X1] :
( ~ subpopulations(X2,X0,X3,X1)
| growth_rate(X0,X1) = growth_rate(X2,X1)
| ~ greater_or_equal(growth_rate(X0,X1),growth_rate(X2,X1))
| ~ environment(X3)
| selection_favors(X0,X2,X1) ),
inference(resolution,[],[f21,f1]) ).
fof(f97,plain,
! [X0,X1] :
( ~ greater_or_equal(cardinality_at_time(first_movers,X0),zero)
| zero = cardinality_at_time(first_movers,X0)
| ~ in_environment(X1,X0)
| ~ environment(X1)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| subpopulations(first_movers,efficient_producers,X1,X0) ),
inference(resolution,[],[f21,f13]) ).
fof(f98,plain,
! [X0,X1] :
( ~ environment(X1)
| ~ in_environment(X1,X0)
| zero = cardinality_at_time(first_movers,X0)
| ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| subpopulations(first_movers,efficient_producers,X1,X0) ),
inference(forward_subsumption_resolution,[],[f97,f14]) ).
fof(f99,plain,
( ! [X0] :
( in_environment(sk1(sk3),X0)
| ~ greater_or_equal(end_time(sk1(sk3)),X0)
| ~ greater_or_equal(X0,start_time(sk1(sk3))) )
| ~ spl0_5 ),
inference(resolution,[],[f11,f58]) ).
fof(f105,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| zero = cardinality_at_time(first_movers,X0)
| ~ in_environment(sk1(sk3),X0)
| subpopulations(first_movers,efficient_producers,sk1(sk3),X0) )
| ~ spl0_5 ),
inference(resolution,[],[f98,f58]) ).
fof(f134,plain,
( ! [X0,X1] :
( ~ environment(X1)
| ~ in_environment(sk1(sk3),X0)
| subpopulations(first_movers,efficient_producers,sk1(sk3),X0)
| ~ in_environment(X1,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| zero = cardinality_at_time(first_movers,X0) )
| ~ spl0_5 ),
inference(resolution,[],[f105,f28]) ).
fof(f183,plain,
( ! [X0] :
( ~ in_environment(sk1(sk3),X0)
| subpopulations(first_movers,efficient_producers,sk1(sk3),X0)
| ~ in_environment(sk1(sk3),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1(sk3)))
| zero = cardinality_at_time(first_movers,X0) )
| ~ spl0_5 ),
inference(resolution,[],[f134,f58]) ).
fof(f184,plain,
( ! [X0] :
( ~ in_environment(sk1(sk3),X0)
| subpopulations(first_movers,efficient_producers,sk1(sk3),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1(sk3)))
| zero = cardinality_at_time(first_movers,X0) )
| ~ spl0_5 ),
inference(duplicate_literal_removal,[],[f183]) ).
fof(f213,definition,
( spl0_20
<=> greater_or_equal(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f214,plain,
( greater_or_equal(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3)))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f215,plain,
( ~ greater_or_equal(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3)))
| spl0_20 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f217,plain,
( ~ greater(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3)))
| spl0_20 ),
inference(resolution,[],[f215,f22]) ).
fof(f221,plain,
( ! [X0] :
( ~ greater(X0,appear(efficient_producers,sk1(sk3)))
| ~ greater(sk2(sk1(sk3),sk3),X0) )
| spl0_20 ),
inference(resolution,[],[f217,f19]) ).
fof(f225,plain,
( ! [X0] :
( ~ greater(sk2(sk1(sk3),sk3),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1(sk3)))
| appear(efficient_producers,sk1(sk3)) = X0 )
| spl0_20 ),
inference(resolution,[],[f221,f21]) ).
fof(f287,plain,
( ~ greater_or_equal(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| ~ slow_change(sk3)
| ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| spl0_20 ),
inference(resolution,[],[f225,f8]) ).
fof(f290,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| ~ slow_change(sk3)
| ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f287,f17]) ).
fof(f291,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f290,f30]) ).
fof(f292,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| ~ spl0_5
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f291,f58]) ).
fof(f293,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| ~ observational_period(sk3)
| ~ spl0_5
| ~ spl0_10
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f292,f85]) ).
fof(f294,plain,
( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
| ~ spl0_5
| ~ spl0_10
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f293,f29]) ).
fof(f299,plain,
( ~ greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| ~ spl0_5
| ~ spl0_10
| spl0_20 ),
inference(superposition,[],[f217,f294]) ).
fof(f303,plain,
( ~ slow_change(sk3)
| ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| ~ spl0_5
| ~ spl0_10
| spl0_20 ),
inference(resolution,[],[f299,f8]) ).
fof(f315,plain,
( ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| ~ spl0_5
| ~ spl0_10
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f303,f30]) ).
fof(f316,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| ~ spl0_5
| ~ spl0_10
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f315,f58]) ).
fof(f317,plain,
( ~ observational_period(sk3)
| ~ spl0_5
| ~ spl0_10
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f316,f85]) ).
fof(f318,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| spl0_20 ),
inference(forward_subsumption_resolution,[],[f317,f29]) ).
fof(f319,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f318]) ).
fof(f348,definition,
( spl0_28
<=> greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_28])],[avatar_definition]) ).
fof(f349,plain,
( greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f350,plain,
( ~ greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| spl0_28 ),
inference(avatar_component_clause,[],[f348]) ).
fof(f365,definition,
( spl0_29
<=> greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f367,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
| spl0_29 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f369,definition,
( spl0_30
<=> subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f371,plain,
( subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f373,definition,
( spl0_31
<=> zero = cardinality_at_time(first_movers,end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f375,plain,
( zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
| ~ spl0_31 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f377,definition,
( spl0_32
<=> greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_32])],[avatar_definition]) ).
fof(f378,plain,
( greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f379,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| spl0_32 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f384,plain,
( ~ in_environment(sk1(sk3),start_time(sk1(sk3)))
| ~ environment(sk1(sk3))
| spl0_29 ),
inference(resolution,[],[f367,f12]) ).
fof(f385,plain,
( ~ greater(end_time(sk1(sk3)),start_time(sk1(sk3)))
| spl0_29 ),
inference(resolution,[],[f367,f22]) ).
fof(f386,plain,
( ~ in_environment(sk1(sk3),start_time(sk1(sk3)))
| ~ spl0_5
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f384,f58]) ).
fof(f411,plain,
( ! [X0] :
( ~ greater(end_time(sk1(sk3)),X0)
| ~ greater(X0,start_time(sk1(sk3))) )
| spl0_29 ),
inference(resolution,[],[f385,f19]) ).
fof(f416,plain,
( ! [X0] :
( ~ greater(X0,start_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),X0)
| end_time(sk1(sk3)) = X0 )
| spl0_29 ),
inference(resolution,[],[f411,f21]) ).
fof(f452,plain,
( ! [X0] :
( ~ greater_or_equal(end_time(sk1(sk3)),X0)
| end_time(sk1(sk3)) = X0
| ~ greater_or_equal(X0,start_time(sk1(sk3)))
| start_time(sk1(sk3)) = X0 )
| spl0_29 ),
inference(resolution,[],[f416,f21]) ).
fof(f539,plain,
( ! [X0] :
( end_time(sk1(sk3)) = X0
| ~ greater_or_equal(X0,start_time(sk1(sk3)))
| start_time(sk1(sk3)) = X0
| ~ in_environment(sk1(sk3),X0)
| ~ environment(sk1(sk3)) )
| spl0_29 ),
inference(resolution,[],[f452,f12]) ).
fof(f542,plain,
( ! [X0] :
( ~ in_environment(sk1(sk3),X0)
| ~ greater_or_equal(X0,start_time(sk1(sk3)))
| start_time(sk1(sk3)) = X0
| end_time(sk1(sk3)) = X0 )
| ~ spl0_5
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f539,f58]) ).
fof(f551,plain,
( ~ greater_or_equal(sk2(sk1(sk3),sk3),start_time(sk1(sk3)))
| sk2(sk1(sk3),sk3) = start_time(sk1(sk3))
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ environment(sk1(sk3))
| ~ spl0_5
| spl0_29 ),
inference(resolution,[],[f542,f76]) ).
fof(f553,plain,
( ~ greater_or_equal(sk2(sk1(sk3),sk3),start_time(sk1(sk3)))
| sk2(sk1(sk3),sk3) = start_time(sk1(sk3))
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| ~ environment(sk1(sk3))
| ~ spl0_5
| ~ spl0_10
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f551,f85]) ).
fof(f554,plain,
( ~ greater_or_equal(sk2(sk1(sk3),sk3),start_time(sk1(sk3)))
| sk2(sk1(sk3),sk3) = start_time(sk1(sk3))
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| ~ spl0_5
| ~ spl0_10
| spl0_29 ),
inference(forward_subsumption_resolution,[],[f553,f58]) ).
fof(f556,definition,
( spl0_35
<=> sk2(sk1(sk3),sk3) = end_time(sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_35])],[avatar_definition]) ).
fof(f557,plain,
( sk2(sk1(sk3),sk3) != end_time(sk1(sk3))
| spl0_35 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f558,plain,
( sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f560,definition,
( spl0_36
<=> sk2(sk1(sk3),sk3) = start_time(sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_36])],[avatar_definition]) ).
fof(f562,plain,
( sk2(sk1(sk3),sk3) = start_time(sk1(sk3))
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f564,definition,
( spl0_37
<=> greater_or_equal(sk2(sk1(sk3),sk3),start_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f565,plain,
( greater_or_equal(sk2(sk1(sk3),sk3),start_time(sk1(sk3)))
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f566,plain,
( ~ greater_or_equal(sk2(sk1(sk3),sk3),start_time(sk1(sk3)))
| spl0_37 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f567,plain,
( spl0_35
| spl0_36
| ~ spl0_37
| ~ spl0_5
| ~ spl0_10
| spl0_29 ),
inference(avatar_split_clause,[],[f554,f365,f84,f52,f564,f560,f556]) ).
fof(f577,plain,
( ~ greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3)))
| spl0_37 ),
inference(resolution,[],[f566,f22]) ).
fof(f582,plain,
( ! [X0] :
( ~ greater(X0,start_time(sk1(sk3)))
| ~ greater(sk2(sk1(sk3),sk3),X0) )
| spl0_37 ),
inference(resolution,[],[f577,f19]) ).
fof(f583,plain,
( ! [X0] :
( ~ greater(sk2(sk1(sk3),sk3),X0)
| ~ greater_or_equal(X0,start_time(sk1(sk3)))
| start_time(sk1(sk3)) = X0 )
| spl0_37 ),
inference(resolution,[],[f582,f21]) ).
fof(f592,plain,
( ~ greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3)))
| start_time(sk1(sk3)) = critical_point(sk1(sk3))
| ~ slow_change(sk3)
| ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| spl0_37 ),
inference(resolution,[],[f583,f8]) ).
fof(f595,plain,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| ~ slow_change(sk3)
| ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f592,f18]) ).
fof(f596,plain,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f595,f30]) ).
fof(f597,plain,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| ~ spl0_5
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f596,f58]) ).
fof(f598,plain,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| ~ observational_period(sk3)
| ~ spl0_5
| ~ spl0_10
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f597,f85]) ).
fof(f599,plain,
( start_time(sk1(sk3)) = critical_point(sk1(sk3))
| ~ spl0_5
| ~ spl0_10
| spl0_37 ),
inference(forward_subsumption_resolution,[],[f598,f29]) ).
fof(f617,plain,
( ~ greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
| ~ spl0_5
| ~ spl0_10
| spl0_37 ),
inference(superposition,[],[f577,f599]) ).
fof(f621,plain,
( ~ spl0_28
| ~ spl0_5
| ~ spl0_10
| spl0_37 ),
inference(avatar_split_clause,[],[f617,f564,f84,f52,f348]) ).
fof(f623,plain,
( ~ slow_change(sk3)
| ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| spl0_28 ),
inference(resolution,[],[f350,f8]) ).
fof(f627,plain,
( ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f623,f30]) ).
fof(f628,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| ~ spl0_5
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f627,f58]) ).
fof(f629,plain,
( ~ observational_period(sk3)
| ~ spl0_5
| ~ spl0_10
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f628,f85]) ).
fof(f630,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| spl0_28 ),
inference(forward_subsumption_resolution,[],[f629,f29]) ).
fof(f631,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_28 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f648,plain,
( ~ in_environment(sk1(sk3),appear(efficient_producers,sk1(sk3)))
| ~ environment(sk1(sk3))
| spl0_32 ),
inference(resolution,[],[f379,f12]) ).
fof(f649,plain,
( ~ greater(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| spl0_32 ),
inference(resolution,[],[f379,f22]) ).
fof(f650,plain,
( ~ in_environment(sk1(sk3),appear(efficient_producers,sk1(sk3)))
| ~ spl0_5
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f648,f58]) ).
fof(f681,plain,
( ! [X0] :
( ~ greater(end_time(sk1(sk3)),X0)
| ~ greater(X0,appear(efficient_producers,sk1(sk3))) )
| spl0_32 ),
inference(resolution,[],[f649,f19]) ).
fof(f726,plain,
( ! [X0] :
( ~ greater(X0,appear(efficient_producers,sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),X0)
| end_time(sk1(sk3)) = X0 )
| spl0_32 ),
inference(resolution,[],[f681,f21]) ).
fof(f791,plain,
( ! [X0] :
( ~ greater_or_equal(end_time(sk1(sk3)),X0)
| end_time(sk1(sk3)) = X0
| ~ greater_or_equal(X0,appear(efficient_producers,sk1(sk3)))
| appear(efficient_producers,sk1(sk3)) = X0 )
| spl0_32 ),
inference(resolution,[],[f726,f21]) ).
fof(f818,definition,
( spl0_49
<=> in_environment(sk1(sk3),sk2(sk1(sk3),sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f819,plain,
( in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f820,plain,
( ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| spl0_49 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f831,plain,
( ~ in_environment(sk3,sk1(sk3))
| ~ environment(sk1(sk3))
| spl0_49 ),
inference(resolution,[],[f820,f76]) ).
fof(f832,plain,
( ~ environment(sk1(sk3))
| ~ spl0_10
| spl0_49 ),
inference(forward_subsumption_resolution,[],[f831,f85]) ).
fof(f834,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| spl0_49 ),
inference(forward_subsumption_resolution,[],[f832,f58]) ).
fof(f835,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_49 ),
inference(avatar_contradiction_clause,[],[f834]) ).
fof(f1065,plain,
( ! [X0] :
( end_time(sk1(sk3)) = X0
| ~ greater_or_equal(X0,appear(efficient_producers,sk1(sk3)))
| appear(efficient_producers,sk1(sk3)) = X0
| ~ in_environment(sk1(sk3),X0)
| ~ environment(sk1(sk3)) )
| spl0_32 ),
inference(resolution,[],[f791,f12]) ).
fof(f1069,plain,
( ! [X0] :
( ~ in_environment(sk1(sk3),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1(sk3)))
| appear(efficient_producers,sk1(sk3)) = X0
| end_time(sk1(sk3)) = X0 )
| ~ spl0_5
| spl0_32 ),
inference(forward_subsumption_resolution,[],[f1065,f58]) ).
fof(f1072,plain,
( ~ greater_or_equal(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3)))
| sk2(sk1(sk3),sk3) = appear(efficient_producers,sk1(sk3))
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| ~ spl0_5
| spl0_32
| ~ spl0_49 ),
inference(resolution,[],[f1069,f819]) ).
fof(f1076,plain,
( sk2(sk1(sk3),sk3) = appear(efficient_producers,sk1(sk3))
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| ~ spl0_5
| ~ spl0_20
| spl0_32
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1072,f214]) ).
fof(f1079,definition,
( spl0_53
<=> sk2(sk1(sk3),sk3) = appear(efficient_producers,sk1(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_53])],[avatar_definition]) ).
fof(f1081,plain,
( sk2(sk1(sk3),sk3) = appear(efficient_producers,sk1(sk3))
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1082,plain,
( spl0_35
| spl0_53
| ~ spl0_5
| ~ spl0_20
| spl0_32
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1076,f818,f377,f213,f52,f1079,f556]) ).
fof(f1092,definition,
( spl0_54
<=> selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).
fof(f1093,plain,
( ~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| spl0_54 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1094,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1096,definition,
( spl0_55
<=> ! [X0] :
( ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),X0)
| ~ greater(X0,growth_rate(first_movers,end_time(sk1(sk3)))) ) ),
introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).
fof(f1097,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),X0)
| ~ greater(X0,growth_rate(first_movers,end_time(sk1(sk3)))) )
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1100,definition,
( spl0_56
<=> greater_or_equal(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_56])],[avatar_definition]) ).
fof(f1101,plain,
( greater_or_equal(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1102,plain,
( ~ greater_or_equal(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| spl0_56 ),
inference(avatar_component_clause,[],[f1100]) ).
fof(f1104,definition,
( spl0_57
<=> growth_rate(efficient_producers,end_time(sk1(sk3))) = growth_rate(first_movers,end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_57])],[avatar_definition]) ).
fof(f1106,plain,
( growth_rate(efficient_producers,end_time(sk1(sk3))) = growth_rate(first_movers,end_time(sk1(sk3)))
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1109,definition,
( spl0_58
<=> greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f1111,plain,
( greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1113,definition,
( spl0_59
<=> greater(end_time(sk1(sk3)),critical_point(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_59])],[avatar_definition]) ).
fof(f1115,plain,
( ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| spl0_59 ),
inference(avatar_component_clause,[],[f1113]) ).
fof(f1129,definition,
( spl0_60
<=> in_environment(sk1(sk3),end_time(sk1(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_60])],[avatar_definition]) ).
fof(f1130,plain,
( in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1131,plain,
( ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| spl0_60 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f1148,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
| ~ spl0_5
| spl0_60 ),
inference(resolution,[],[f1131,f99]) ).
fof(f1149,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
| ~ spl0_5
| spl0_60 ),
inference(forward_subsumption_resolution,[],[f1148,f32]) ).
fof(f1154,plain,
( ~ spl0_29
| ~ spl0_5
| spl0_60 ),
inference(avatar_split_clause,[],[f1149,f1129,f52,f365]) ).
fof(f1173,plain,
( greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| ~ spl0_20
| ~ spl0_35 ),
inference(superposition,[],[f214,f558]) ).
fof(f1181,plain,
( greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
| ~ spl0_35
| ~ spl0_37 ),
inference(superposition,[],[f565,f558]) ).
fof(f1186,plain,
( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| ~ slow_change(sk3)
| ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| ~ spl0_35 ),
inference(superposition,[],[f8,f558]) ).
fof(f1187,plain,
( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| ~ environment(sk1(sk3))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1186,f30]) ).
fof(f1192,plain,
( $false
| spl0_29
| ~ spl0_35
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f1181,f367]) ).
fof(f1193,plain,
( spl0_29
| ~ spl0_35
| ~ spl0_37 ),
inference(avatar_contradiction_clause,[],[f1192]) ).
fof(f1195,plain,
( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| ~ in_environment(sk3,sk1(sk3))
| ~ observational_period(sk3)
| ~ spl0_5
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1187,f58]) ).
fof(f1197,plain,
( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| ~ observational_period(sk3)
| ~ spl0_5
| ~ spl0_10
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1195,f85]) ).
fof(f1200,plain,
( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| ~ spl0_5
| ~ spl0_10
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[],[f1197,f29]) ).
fof(f1201,plain,
( spl0_59
| ~ spl0_5
| ~ spl0_10
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1200,f556,f84,f52,f1113]) ).
fof(f1229,plain,
( in_environment(sk1(sk3),start_time(sk1(sk3)))
| ~ spl0_36
| ~ spl0_49 ),
inference(superposition,[],[f819,f562]) ).
fof(f1236,plain,
( $false
| ~ spl0_5
| spl0_29
| ~ spl0_36
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[],[f1229,f386]) ).
fof(f1237,plain,
( ~ spl0_5
| spl0_29
| ~ spl0_36
| ~ spl0_49 ),
inference(avatar_contradiction_clause,[],[f1236]) ).
fof(f1250,definition,
( spl0_63
<=> ! [X0] :
( ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3)))
| selection_favors(X0,first_movers,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(X0,end_time(sk1(sk3))),zero) ) ),
introduced(definition,[new_symbols(definition,[spl0_63])],[avatar_definition]) ).
fof(f1251,plain,
( ! [X0] :
( selection_favors(X0,first_movers,end_time(sk1(sk3)))
| ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(X0,end_time(sk1(sk3))),zero) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f1250]) ).
fof(f1254,plain,
( subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3)))
| ~ spl0_5
| ~ spl0_60 ),
inference(resolution,[],[f1130,f59]) ).
fof(f1256,plain,
( subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
| ~ spl0_5
| ~ spl0_60 ),
inference(resolution,[],[f1130,f184]) ).
fof(f1335,plain,
( ~ subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3)
| ~ observational_period(sk3)
| ~ spl0_3
| ~ spl0_63 ),
inference(resolution,[],[f1251,f45]) ).
fof(f1336,plain,
( ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| selection_favors(efficient_producers,first_movers,sk3)
| ~ observational_period(sk3)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_60
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1335,f1254]) ).
fof(f1337,plain,
( ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ observational_period(sk3)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_60
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1336,f31]) ).
fof(f1338,plain,
( ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_60
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1337,f29]) ).
fof(f1339,plain,
( ! [X0] :
( ~ environment(X0)
| ~ greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,X0))
| ~ in_environment(X0,end_time(sk1(sk3))) )
| ~ spl0_3
| ~ spl0_5
| ~ spl0_60
| ~ spl0_63 ),
inference(resolution,[],[f1338,f28]) ).
fof(f1392,plain,
( spl0_31
| ~ spl0_32
| spl0_30
| ~ spl0_5
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1256,f1129,f52,f369,f377,f373]) ).
fof(f1394,plain,
( selection_favors(efficient_producers,first_movers,sk3)
| ~ observational_period(sk3)
| ~ spl0_3
| ~ spl0_54 ),
inference(resolution,[],[f1094,f45]) ).
fof(f1395,plain,
( ~ observational_period(sk3)
| ~ spl0_3
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f1394,f31]) ).
fof(f1396,plain,
( $false
| ~ spl0_3
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[],[f1395,f29]) ).
fof(f1397,plain,
( ~ spl0_3
| ~ spl0_54 ),
inference(avatar_contradiction_clause,[],[f1396]) ).
fof(f1398,plain,
( ~ environment(sk1(sk3))
| ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| ~ spl0_30 ),
inference(resolution,[],[f371,f34]) ).
fof(f1400,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),X0)
| ~ greater(X0,growth_rate(first_movers,end_time(sk1(sk3))))
| ~ environment(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) )
| ~ spl0_30 ),
inference(resolution,[],[f371,f93]) ).
fof(f1401,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),X0)
| ~ greater(X0,growth_rate(first_movers,end_time(sk1(sk3))))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) )
| ~ spl0_5
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1400,f58]) ).
fof(f1403,plain,
( ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| ~ spl0_5
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1398,f58]) ).
fof(f1404,plain,
( spl0_54
| spl0_55
| ~ spl0_5
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1401,f369,f52,f1096,f1092]) ).
fof(f1406,plain,
( spl0_58
| ~ spl0_59
| ~ spl0_5
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1403,f369,f52,f1113,f1109]) ).
fof(f1440,plain,
( ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| spl0_56 ),
inference(resolution,[],[f1102,f22]) ).
fof(f1441,plain,
( ~ spl0_58
| spl0_56 ),
inference(avatar_split_clause,[],[f1440,f1100,f1109]) ).
fof(f1517,plain,
( greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(efficient_producers,end_time(sk1(sk3))))
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_demodulation,[],[f1111,f1106]) ).
fof(f1519,plain,
( ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| ~ spl0_55
| ~ spl0_57
| ~ spl0_58 ),
inference(resolution,[],[f1517,f1097]) ).
fof(f1520,plain,
( ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(efficient_producers,end_time(sk1(sk3))))
| ~ spl0_55
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_demodulation,[],[f1519,f1106]) ).
fof(f1529,plain,
( $false
| ~ spl0_55
| ~ spl0_57
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[],[f1520,f1517]) ).
fof(f1530,plain,
( ~ spl0_55
| ~ spl0_57
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f1529]) ).
fof(f1660,plain,
( ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| ~ spl0_5
| spl0_32
| ~ spl0_53 ),
inference(superposition,[],[f650,f1081]) ).
fof(f1688,plain,
( $false
| ~ spl0_5
| spl0_32
| ~ spl0_49
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[],[f1660,f819]) ).
fof(f1689,plain,
( ~ spl0_5
| spl0_32
| ~ spl0_49
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f1688]) ).
fof(f1712,plain,
( ! [X0,X1] :
( zero != zero
| ~ subpopulation(X0,X1,end_time(sk1(sk3)))
| ~ subpopulation(first_movers,X1,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(X0,end_time(sk1(sk3))),zero)
| ~ environment(X1)
| selection_favors(X0,first_movers,end_time(sk1(sk3))) )
| ~ spl0_31 ),
inference(superposition,[],[f3,f375]) ).
fof(f1713,plain,
( ! [X0,X1] :
( ~ subpopulation(first_movers,X1,end_time(sk1(sk3)))
| ~ subpopulation(X0,X1,end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(X0,end_time(sk1(sk3))),zero)
| ~ environment(X1)
| selection_favors(X0,first_movers,end_time(sk1(sk3))) )
| ~ spl0_31 ),
inference(trivial_inequality_removal,[],[f1712]) ).
fof(f1719,plain,
( ! [X0] :
( ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(X0,end_time(sk1(sk3))),zero)
| ~ environment(sk1(sk3))
| selection_favors(X0,first_movers,end_time(sk1(sk3)))
| ~ in_environment(sk1(sk3),end_time(sk1(sk3))) )
| ~ spl0_5
| ~ spl0_31 ),
inference(resolution,[],[f1713,f60]) ).
fof(f1722,plain,
( ! [X0] :
( ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(X0,end_time(sk1(sk3))),zero)
| selection_favors(X0,first_movers,end_time(sk1(sk3)))
| ~ in_environment(sk1(sk3),end_time(sk1(sk3))) )
| ~ spl0_5
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[],[f1719,f58]) ).
fof(f1723,plain,
( ! [X0] :
( ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3)))
| ~ greater(cardinality_at_time(X0,end_time(sk1(sk3))),zero)
| selection_favors(X0,first_movers,end_time(sk1(sk3))) )
| ~ spl0_5
| ~ spl0_31
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[],[f1722,f1130]) ).
fof(f1724,plain,
( spl0_63
| ~ spl0_5
| ~ spl0_31
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f1723,f1129,f373,f52,f1250]) ).
fof(f1850,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
| ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_60
| ~ spl0_63 ),
inference(resolution,[],[f1339,f58]) ).
fof(f1851,plain,
( ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ spl0_3
| ~ spl0_5
| ~ spl0_32
| ~ spl0_60
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1850,f378]) ).
fof(f1852,plain,
( $false
| ~ spl0_3
| ~ spl0_5
| ~ spl0_32
| ~ spl0_60
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[],[f1851,f1130]) ).
fof(f1853,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_32
| ~ spl0_60
| ~ spl0_63 ),
inference(avatar_contradiction_clause,[],[f1852]) ).
fof(f1879,plain,
( ! [X0] :
( ~ greater(end_time(sk1(sk3)),X0)
| ~ greater(X0,critical_point(sk1(sk3))) )
| spl0_59 ),
inference(resolution,[],[f1115,f19]) ).
fof(f1883,plain,
( growth_rate(efficient_producers,end_time(sk1(sk3))) = growth_rate(first_movers,end_time(sk1(sk3)))
| ~ greater_or_equal(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
| ~ environment(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ spl0_30 ),
inference(resolution,[],[f371,f96]) ).
fof(f1885,plain,
( growth_rate(efficient_producers,end_time(sk1(sk3))) = growth_rate(first_movers,end_time(sk1(sk3)))
| ~ environment(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ spl0_30
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f1883,f1101]) ).
fof(f1886,plain,
( growth_rate(efficient_producers,end_time(sk1(sk3))) = growth_rate(first_movers,end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| ~ spl0_5
| ~ spl0_30
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f1885,f58]) ).
fof(f1887,plain,
( growth_rate(efficient_producers,end_time(sk1(sk3))) = growth_rate(first_movers,end_time(sk1(sk3)))
| ~ spl0_5
| ~ spl0_30
| spl0_54
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[],[f1886,f1093]) ).
fof(f1888,plain,
( spl0_57
| ~ spl0_5
| ~ spl0_30
| spl0_54
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1887,f1100,f1092,f369,f52,f1104]) ).
fof(f2092,plain,
( ! [X0] :
( ~ greater(X0,critical_point(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),X0)
| end_time(sk1(sk3)) = X0 )
| spl0_59 ),
inference(resolution,[],[f1879,f21]) ).
fof(f2215,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3))
| sk2(sk1(sk3),sk3) = end_time(sk1(sk3))
| ~ spl0_28
| spl0_59 ),
inference(resolution,[],[f2092,f349]) ).
fof(f2216,plain,
( ~ greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3))
| ~ spl0_28
| spl0_35
| spl0_59 ),
inference(forward_subsumption_resolution,[],[f2215,f557]) ).
fof(f2221,plain,
( ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
| ~ environment(sk1(sk3))
| ~ spl0_28
| spl0_35
| spl0_59 ),
inference(resolution,[],[f2216,f12]) ).
fof(f2223,plain,
( ~ environment(sk1(sk3))
| ~ spl0_28
| spl0_35
| ~ spl0_49
| spl0_59 ),
inference(forward_subsumption_resolution,[],[f2221,f819]) ).
fof(f2225,plain,
( $false
| ~ spl0_5
| ~ spl0_28
| spl0_35
| ~ spl0_49
| spl0_59 ),
inference(forward_subsumption_resolution,[],[f2223,f58]) ).
fof(f2226,plain,
( ~ spl0_5
| ~ spl0_28
| spl0_35
| ~ spl0_49
| spl0_59 ),
inference(avatar_contradiction_clause,[],[f2225]) ).
fof(f2241,plain,
( spl0_32
| ~ spl0_20
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1173,f556,f213,f377]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f46]) ).
cnf(s2,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f50]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_5 ),
inference(sat_conversion,[],[f54]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f55]) ).
cnf(s5,plain,
spl0_1,
inference(sat_conversion,[],[f56]) ).
cnf(s8,plain,
( ~ spl0_4
| spl0_10 ),
inference(sat_conversion,[],[f91]) ).
cnf(s15,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_20 ),
inference(sat_conversion,[],[f319]) ).
cnf(s21,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_29
| spl0_35
| spl0_36
| ~ spl0_37 ),
inference(sat_conversion,[],[f567]) ).
cnf(s22,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_28
| spl0_37 ),
inference(sat_conversion,[],[f621]) ).
cnf(s25,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_28 ),
inference(sat_conversion,[],[f631]) ).
cnf(s34,plain,
( ~ spl0_5
| ~ spl0_10
| spl0_49 ),
inference(sat_conversion,[],[f835]) ).
cnf(s36,plain,
( ~ spl0_5
| ~ spl0_20
| spl0_32
| spl0_35
| ~ spl0_49
| spl0_53 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s43,plain,
( ~ spl0_5
| ~ spl0_29
| spl0_60 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s46,plain,
( spl0_29
| ~ spl0_35
| ~ spl0_37 ),
inference(sat_conversion,[],[f1193]) ).
cnf(s49,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_35
| spl0_59 ),
inference(sat_conversion,[],[f1201]) ).
cnf(s50,plain,
( ~ spl0_5
| spl0_29
| ~ spl0_36
| ~ spl0_49 ),
inference(sat_conversion,[],[f1237]) ).
cnf(s76,plain,
( ~ spl0_5
| spl0_30
| spl0_31
| ~ spl0_32
| ~ spl0_60 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s78,plain,
( ~ spl0_3
| ~ spl0_54 ),
inference(sat_conversion,[],[f1397]) ).
cnf(s79,plain,
( ~ spl0_5
| ~ spl0_30
| spl0_54
| spl0_55 ),
inference(sat_conversion,[],[f1404]) ).
cnf(s81,plain,
( ~ spl0_5
| ~ spl0_30
| spl0_58
| ~ spl0_59 ),
inference(sat_conversion,[],[f1406]) ).
cnf(s84,plain,
( spl0_56
| ~ spl0_58 ),
inference(sat_conversion,[],[f1441]) ).
cnf(s93,plain,
( ~ spl0_55
| ~ spl0_57
| ~ spl0_58 ),
inference(sat_conversion,[],[f1530]) ).
cnf(s108,plain,
( ~ spl0_5
| spl0_32
| ~ spl0_49
| ~ spl0_53 ),
inference(sat_conversion,[],[f1689]) ).
cnf(s114,plain,
( ~ spl0_5
| ~ spl0_31
| ~ spl0_60
| spl0_63 ),
inference(sat_conversion,[],[f1724]) ).
cnf(s116,plain,
( ~ spl0_3
| ~ spl0_5
| ~ spl0_32
| ~ spl0_60
| ~ spl0_63 ),
inference(sat_conversion,[],[f1853]) ).
cnf(s122,plain,
( ~ spl0_5
| ~ spl0_30
| spl0_54
| ~ spl0_56
| spl0_57 ),
inference(sat_conversion,[],[f1888]) ).
cnf(s145,plain,
( ~ spl0_5
| ~ spl0_28
| spl0_35
| ~ spl0_49
| spl0_59 ),
inference(sat_conversion,[],[f2226]) ).
cnf(s150,plain,
( ~ spl0_20
| spl0_32
| ~ spl0_35 ),
inference(sat_conversion,[],[f2241]) ).
cnf(s164,plain,
spl0_5,
inference(rat,[],[s3,s4,s5]) ).
cnf(s167,plain,
spl0_4,
inference(rat,[],[s2,s4,s5]) ).
cnf(s168,plain,
spl0_10,
inference(rat,[],[s8,s167]) ).
cnf(s169,plain,
spl0_49,
inference(rat,[],[s34,s164,s168]) ).
cnf(s170,plain,
spl0_28,
inference(rat,[],[s25,s164,s168]) ).
cnf(s171,plain,
spl0_20,
inference(rat,[],[s15,s164,s168]) ).
cnf(s174,plain,
spl0_37,
inference(rat,[],[s22,s168,s164,s170]) ).
cnf(s175,plain,
spl0_3,
inference(rat,[],[s1,s4,s5]) ).
cnf(s176,plain,
~ spl0_54,
inference(rat,[],[s78,s175]) ).
cnf(s177,plain,
spl0_29,
inference(rat,[],[s21,s46,s50,s164,s168,s174,s169]) ).
cnf(s179,plain,
spl0_60,
inference(rat,[],[s43,s164,s177]) ).
cnf(s181,plain,
spl0_32,
inference(rat,[],[s36,s108,s150,s164,s171,s169]) ).
cnf(s183,plain,
~ spl0_63,
inference(rat,[],[s116,s179,s175,s164,s181]) ).
cnf(s184,plain,
~ spl0_31,
inference(rat,[],[s114,s179,s164,s183]) ).
cnf(s185,plain,
spl0_30,
inference(rat,[],[s76,s179,s181,s164,s184]) ).
cnf(s186,plain,
spl0_55,
inference(rat,[],[s79,s176,s164,s185]) ).
cnf(s187,plain,
~ spl0_58,
inference(rat,[],[s122,s93,s84,s164,s176,s185,s186]) ).
cnf(s188,plain,
~ spl0_59,
inference(rat,[],[s81,s185,s164,s187]) ).
cnf(s189,plain,
~ spl0_35,
inference(rat,[],[s49,s168,s164,s188]) ).
cnf(s190,plain,
$false,
inference(rat,[],[s145,s170,s169,s164,s188,s189]) ).
fof(f2272,plain,
$false,
inference(avatar_sat_refutation,[],[s190]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT039-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:25:54 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.02/1.39 % (2617411)Input is clausal, will run a generic CNF schedule.
% 3.02/1.39 % (2617420)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3879554070:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.02/1.39 % (2617420)Refutation not found, incomplete strategy
% 3.02/1.39 % (2617420)------------------------------
% 3.02/1.39 % (2617420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.39 % (2617420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.39 % (2617420)CaDiCaL version: 2.1.3
% 3.02/1.39 % (2617420)Termination reason: Refutation not found, incomplete strategy
% 3.02/1.39 % (2617420)Time elapsed: 0.001 s
% 3.02/1.39 % (2617420)Peak memory usage: 88 MB
% 3.02/1.39 % (2617416)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=927488228:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.02/1.39 % (2617422)dis-21_1_sil=8000:lcm=predicate:random_seed=4167019512: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)
% 3.02/1.39 % (2617417)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4050973879:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.02/1.39 % (2617418)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1848684607:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.02/1.39 % (2617419)lrs+10_1_sil=8000:sp=occurrence:random_seed=2149356758:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.02/1.39 % (2617421)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1916041154:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.02/1.39 % (2617422)Instruction limit reached!
% 3.02/1.39 % (2617422)------------------------------
% 3.02/1.39 % (2617422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.39 % (2617422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.39 % (2617422)CaDiCaL version: 2.1.3
% 3.02/1.39 % (2617422)Termination reason: Instruction limit
% 3.02/1.39 % (2617422)Termination phase: Saturation
% 3.02/1.39 % (2617422)Time elapsed: 0.046 s
% 3.02/1.39 % (2617422)Peak memory usage: 88 MB
% 3.02/1.39 % (2617422)Instructions burned: 120 (million)
% 3.02/1.39 % (2617419)Instruction limit reached!
% 3.02/1.39 % (2617419)------------------------------
% 3.02/1.39 % (2617419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.39 % (2617419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.39 % (2617419)CaDiCaL version: 2.1.3
% 3.02/1.39 % (2617419)Termination reason: Instruction limit
% 3.02/1.39 % (2617419)Termination phase: Saturation
% 3.02/1.39 % (2617419)Time elapsed: 0.061 s
% 3.02/1.39 % (2617419)Peak memory usage: 88 MB
% 3.02/1.39 % (2617419)Instructions burned: 109 (million)
% 3.02/1.39 % (2617420)------------------------------
% 3.02/1.39 % (2617420)------------------------------
% 3.02/1.39 % (2617421)First to succeed.
% 3.02/1.39 % (2617421)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2617411"
% 3.02/1.39 % (2617430)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=607098531:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.02/1.39 % (2617430)Refutation not found, incomplete strategy
% 3.02/1.39 % (2617430)------------------------------
% 3.02/1.39 % (2617430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.39 % (2617430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.39 % (2617430)CaDiCaL version: 2.1.3
% 3.02/1.39 % (2617430)Termination reason: Refutation not found, incomplete strategy
% 3.02/1.39 % (2617430)Time elapsed: 0.003 s
% 3.02/1.39 % (2617430)Peak memory usage: 88 MB
% 3.02/1.39 % (2617430)Instructions burned: 3 (million)
% 3.02/1.39 % (2617431)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2621448988:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.02/1.39 % (2617431)Refutation not found, incomplete strategy
% 3.02/1.39 % (2617431)------------------------------
% 3.02/1.39 % (2617431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.39 % (2617431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.39 % (2617431)CaDiCaL version: 2.1.3
% 3.02/1.39 % (2617431)Termination reason: Refutation not found, incomplete strategy
% 3.02/1.39 % (2617431)Time elapsed: 0.004 s
% 3.02/1.39 % (2617431)Peak memory usage: 88 MB
% 3.02/1.39 % (2617431)Instructions burned: 4 (million)
% 3.02/1.39 % (2617432)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=525338054:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.02/1.39 % (2617432)Instruction limit reached!
% 3.02/1.39 % (2617432)------------------------------
% 3.02/1.39 % (2617432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.02/1.39 % (2617432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.02/1.39 % (2617432)CaDiCaL version: 2.1.3
% 3.02/1.39 % (2617432)Termination reason: Instruction limit
% 3.02/1.39 % (2617432)Termination phase: Saturation
% 3.02/1.39 % (2617432)Time elapsed: 0.048 s
% 3.02/1.39 % (2617432)Peak memory usage: 88 MB
% 3.02/1.39 % (2617432)Instructions burned: 221 (million)
% 3.02/1.39 % (2617436)lrs+10_64_to=lpo:sil=8000:random_seed=3154465777:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.02/1.39 % (2617436)Also succeeded, but the first one will report.
% 3.02/1.39 % (2617421)Refutation found. Thanks to Tanya!
% 3.02/1.39 % SZS status Unsatisfiable for theBenchmark
% 3.02/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 4.37/1.58 % (2617421)------------------------------
% 4.37/1.58 % (2617421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.37/1.58 % (2617421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.37/1.58 % (2617421)CaDiCaL version: 2.1.3
% 4.37/1.58 % (2617421)Termination reason: Refutation
% 4.37/1.58 % (2617421)Time elapsed: 0.109 s
% 4.37/1.58 % (2617421)Peak memory usage: 90 MB
% 4.37/1.58 % (2617421)Instructions burned: 156 (million)
% 4.37/1.58 % (2617421)------------------------------
% 4.37/1.58 % (2617421)------------------------------
% 4.37/1.58 % (2617411)Success in time 0.538 s
% 4.37/1.58 % Vampire exiting
%------------------------------------------------------------------------------