TSTP Solution File: MGT039-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : MGT039-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 07:57:59 EDT 2024

% Result   : Unsatisfiable 0.23s 0.43s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  100
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  235 (  34 unt;   0 def)
%            Number of atoms       :  783 ( 364 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  791 ( 243   ~; 548   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-4 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :   70 (  70   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1514,plain,
    $false,
    inference(subsumption_resolution,[],[f1510,f1511]) ).

fof(f1511,plain,
    ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))),
    inference(unit_resulting_resolution,[],[f39,f54,f1494,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ subpopulations(X1,X2,X0,X3)
      | selection_favors(X2,X1,X3)
      | ~ environment(X0)
      | ~ greater(growth_rate(X2,X3),growth_rate(X1,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).

fof(f1494,plain,
    subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))),
    inference(unit_resulting_resolution,[],[f39,f1256,f1469,f1486,f12]) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | ~ environment(X0)
      | ~ greater(cardinality_at_time(first_movers,X1),zero)
      | ~ greater(cardinality_at_time(efficient_producers,X1),zero)
      | subpopulations(first_movers,efficient_producers,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contains_FM_and_EP_44) ).

fof(f1486,plain,
    greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero),
    inference(unit_resulting_resolution,[],[f1257,f1473,f20]) ).

fof(f20,axiom,
    ! [X0,X1] :
      ( ~ greater_or_equal(X0,X1)
      | X0 = X1
      | greater(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).

fof(f1473,plain,
    zero != cardinality_at_time(first_movers,end_time(sk1(sk3))),
    inference(unit_resulting_resolution,[],[f39,f1258,f1259,f54,f1469,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ subpopulation(X1,X0,X2)
      | ~ environment(X0)
      | ~ subpopulation(X3,X0,X2)
      | selection_favors(X1,X3,X2)
      | zero != cardinality_at_time(X3,X2)
      | ~ greater(cardinality_at_time(X1,X2),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2_favour_members_34) ).

fof(f1259,plain,
    subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3))),
    inference(superposition,[],[f64,f1249]) ).

fof(f1249,plain,
    end_time(sk1(sk3)) = sk2(sk1(sk3),sk3),
    inference(subsumption_resolution,[],[f1248,f1246]) ).

fof(f1246,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(subsumption_resolution,[],[f1245,f107]) ).

fof(f107,plain,
    ( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f79,f84]) ).

fof(f84,plain,
    greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))),
    inference(unit_resulting_resolution,[],[f39,f47,f27,f26,f7]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | ~ observational_period(X0)
      | ~ environment(X1)
      | ~ slow_change(X0)
      | greater(sk2(X1,X0),critical_point(X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point_39) ).

fof(f26,axiom,
    observational_period(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_58) ).

fof(f27,axiom,
    slow_change(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_59) ).

fof(f47,plain,
    in_environment(sk3,sk1(sk3)),
    inference(unit_resulting_resolution,[],[f26,f28,f35]) ).

fof(f35,plain,
    ! [X0] :
      ( ~ observational_period(X0)
      | in_environment(X0,sk1(X0))
      | selection_favors(efficient_producers,first_movers,X0) ),
    inference(subsumption_resolution,[],[f34,f9]) ).

fof(f9,axiom,
    propagation_strategy(efficient_producers),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets2_41) ).

fof(f34,plain,
    ! [X0] :
      ( ~ propagation_strategy(efficient_producers)
      | ~ observational_period(X0)
      | in_environment(X0,sk1(X0))
      | selection_favors(efficient_producers,first_movers,X0) ),
    inference(subsumption_resolution,[],[f4,f8]) ).

fof(f8,axiom,
    propagation_strategy(first_movers),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_organizational_sets1_40) ).

fof(f4,axiom,
    ! [X0] :
      ( ~ propagation_strategy(first_movers)
      | ~ propagation_strategy(efficient_producers)
      | ~ observational_period(X0)
      | in_environment(X0,sk1(X0))
      | selection_favors(efficient_producers,first_movers,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_36) ).

fof(f28,axiom,
    ~ selection_favors(efficient_producers,first_movers,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t8_60) ).

fof(f79,plain,
    ! [X0] :
      ( ~ greater(sk2(sk1(sk3),sk3),X0)
      | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
      | greater(end_time(sk1(sk3)),X0) ),
    inference(resolution,[],[f72,f18]) ).

fof(f18,axiom,
    ! [X2,X0,X1] :
      ( ~ greater(X0,X1)
      | ~ greater(X1,X2)
      | greater(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_50) ).

fof(f72,plain,
    ( greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f65,f20]) ).

fof(f65,plain,
    greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)),
    inference(unit_resulting_resolution,[],[f39,f60,f11]) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | ~ environment(X0)
      | greater_or_equal(end_time(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_end_point_43) ).

fof(f60,plain,
    in_environment(sk1(sk3),sk2(sk1(sk3),sk3)),
    inference(unit_resulting_resolution,[],[f39,f47,f27,f26,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | ~ observational_period(X0)
      | ~ environment(X1)
      | ~ slow_change(X0)
      | in_environment(X1,sk2(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp4_critical_point_38) ).

fof(f1245,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),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)))) ),
    inference(subsumption_resolution,[],[f1243,f39]) ).

fof(f1243,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(resolution,[],[f1242,f30]) ).

fof(f30,plain,
    ! [X2,X0] :
      ( ~ subpopulations(first_movers,efficient_producers,X0,X2)
      | ~ greater(X2,critical_point(X0))
      | ~ environment(X0)
      | greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
    inference(equality_resolution,[],[f24]) ).

fof(f24,axiom,
    ! [X2,X0,X1] :
      ( ~ environment(X0)
      | ~ greater(X2,X1)
      | critical_point(X0) != X1
      | ~ subpopulations(first_movers,efficient_producers,X0,X2)
      | greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_56) ).

fof(f1242,plain,
    ( subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f1241,f1212]) ).

fof(f1212,plain,
    ( zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(duplicate_literal_removal,[],[f1201]) ).

fof(f1201,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f1199,f1141]) ).

fof(f1141,plain,
    ( ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f1140,f54]) ).

fof(f1140,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
    inference(duplicate_literal_removal,[],[f1131]) ).

fof(f1131,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f824,f804]) ).

fof(f804,plain,
    ( subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f799,f39]) ).

fof(f799,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | ~ environment(sk1(sk3))
    | subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(resolution,[],[f792,f14]) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | ~ environment(X0)
      | subpopulation(first_movers,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_46) ).

fof(f792,plain,
    ( in_environment(sk1(sk3),end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f790,f31]) ).

fof(f31,plain,
    ! [X1] : greater_or_equal(X1,X1),
    inference(equality_resolution,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1] :
      ( X0 != X1
      | greater_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_54) ).

fof(f790,plain,
    ( in_environment(sk1(sk3),end_time(sk1(sk3)))
    | ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f785,f111]) ).

fof(f111,plain,
    ( greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f107,f21]) ).

fof(f21,axiom,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | greater_or_equal(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_53) ).

fof(f785,plain,
    ! [X0] :
      ( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
      | in_environment(sk1(sk3),X0)
      | ~ greater_or_equal(end_time(sk1(sk3)),X0) ),
    inference(subsumption_resolution,[],[f781,f39]) ).

fof(f781,plain,
    ! [X0] :
      ( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
      | in_environment(sk1(sk3),X0)
      | ~ environment(sk1(sk3))
      | ~ greater_or_equal(end_time(sk1(sk3)),X0) ),
    inference(superposition,[],[f10,f754]) ).

fof(f754,plain,
    critical_point(sk1(sk3)) = start_time(sk1(sk3)),
    inference(subsumption_resolution,[],[f753,f54]) ).

fof(f753,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(duplicate_literal_removal,[],[f752]) ).

fof(f752,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(superposition,[],[f741,f418]) ).

fof(f418,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(subsumption_resolution,[],[f417,f415]) ).

fof(f415,plain,
    ( greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f414,f107]) ).

fof(f414,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(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)))) ),
    inference(subsumption_resolution,[],[f412,f39]) ).

fof(f412,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(resolution,[],[f411,f30]) ).

fof(f411,plain,
    ( subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(subsumption_resolution,[],[f410,f391]) ).

fof(f391,plain,
    ( zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(duplicate_literal_removal,[],[f386]) ).

fof(f386,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f384,f348]) ).

fof(f348,plain,
    ( ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f347,f54]) ).

fof(f347,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(duplicate_literal_removal,[],[f344]) ).

fof(f344,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f220,f184]) ).

fof(f184,plain,
    ( subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f180,f39]) ).

fof(f180,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | ~ environment(sk1(sk3))
    | subpopulation(first_movers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(resolution,[],[f163,f14]) ).

fof(f163,plain,
    ( in_environment(sk1(sk3),end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(subsumption_resolution,[],[f162,f31]) ).

fof(f162,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | in_environment(sk1(sk3),end_time(sk1(sk3)))
    | ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3))) ),
    inference(subsumption_resolution,[],[f159,f39]) ).

fof(f159,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | in_environment(sk1(sk3),end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3))) ),
    inference(resolution,[],[f157,f10]) ).

fof(f157,plain,
    ( greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f108,f21]) ).

fof(f108,plain,
    ( greater(end_time(sk1(sk3)),start_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f79,f91]) ).

fof(f91,plain,
    ( greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f88,f45]) ).

fof(f45,plain,
    ( greater(critical_point(sk1(sk3)),start_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f42,f20]) ).

fof(f42,plain,
    greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))),
    inference(unit_resulting_resolution,[],[f39,f17]) ).

fof(f17,axiom,
    ! [X0] :
      ( ~ environment(X0)
      | greater_or_equal(critical_point(X0),start_time(X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_of_critical_point_49) ).

fof(f88,plain,
    ! [X0] :
      ( ~ greater(critical_point(sk1(sk3)),X0)
      | greater(sk2(sk1(sk3),sk3),X0) ),
    inference(resolution,[],[f84,f18]) ).

fof(f220,plain,
    ! [X0] :
      ( ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3)))
      | selection_favors(efficient_producers,X0,end_time(sk1(sk3)))
      | zero != cardinality_at_time(X0,end_time(sk1(sk3)))
      | ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
      | critical_point(sk1(sk3)) = start_time(sk1(sk3))
      | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f210,f39]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ environment(sk1(sk3))
      | ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3)))
      | selection_favors(efficient_producers,X0,end_time(sk1(sk3)))
      | zero != cardinality_at_time(X0,end_time(sk1(sk3)))
      | ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
      | critical_point(sk1(sk3)) = start_time(sk1(sk3))
      | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f2,f185]) ).

fof(f185,plain,
    ( subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f181,f39]) ).

fof(f181,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | ~ environment(sk1(sk3))
    | subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(resolution,[],[f163,f15]) ).

fof(f15,axiom,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | ~ environment(X0)
      | subpopulation(efficient_producers,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_47) ).

fof(f384,plain,
    ( greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(subsumption_resolution,[],[f381,f163]) ).

fof(f381,plain,
    ( ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
    | greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(duplicate_literal_removal,[],[f379]) ).

fof(f379,plain,
    ( ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
    | greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f369,f111]) ).

fof(f369,plain,
    ! [X0] :
      ( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
      | ~ in_environment(sk1(sk3),X0)
      | greater(cardinality_at_time(efficient_producers,X0),zero)
      | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
      | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(subsumption_resolution,[],[f363,f39]) ).

fof(f363,plain,
    ! [X0] :
      ( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
      | ~ in_environment(sk1(sk3),X0)
      | ~ environment(sk1(sk3))
      | greater(cardinality_at_time(efficient_producers,X0),zero)
      | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
      | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(superposition,[],[f25,f352]) ).

fof(f352,plain,
    ( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(subsumption_resolution,[],[f351,f315]) ).

fof(f315,plain,
    ( zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f314,f312]) ).

fof(f312,plain,
    ( greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f311,f107]) ).

fof(f311,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(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)))) ),
    inference(subsumption_resolution,[],[f309,f39]) ).

fof(f309,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(resolution,[],[f308,f30]) ).

fof(f308,plain,
    ( subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3))) ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f307,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f306,f187]) ).

fof(f187,plain,
    ( greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f183,f20]) ).

fof(f183,plain,
    ( greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f179,f39]) ).

fof(f179,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | ~ environment(sk1(sk3))
    | greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
    inference(resolution,[],[f163,f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( ~ in_environment(X0,X1)
      | ~ environment(X0)
      | greater_or_equal(cardinality_at_time(first_movers,X1),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_exist_45) ).

fof(f306,plain,
    ( ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(duplicate_literal_removal,[],[f305]) ).

fof(f305,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f182,f254]) ).

fof(f254,plain,
    ( greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(duplicate_literal_removal,[],[f253]) ).

fof(f253,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f200,f163]) ).

fof(f200,plain,
    ( ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
    inference(subsumption_resolution,[],[f198,f39]) ).

fof(f198,plain,
    ( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
    inference(resolution,[],[f197,f25]) ).

fof(f197,plain,
    ( greater_or_equal(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f109,f21]) ).

fof(f109,plain,
    ( greater(end_time(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(resolution,[],[f79,f92]) ).

fof(f92,plain,
    ( greater(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(resolution,[],[f88,f46]) ).

fof(f46,plain,
    ( greater(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(resolution,[],[f41,f20]) ).

fof(f41,plain,
    greater_or_equal(critical_point(sk1(sk3)),appear(efficient_producers,sk1(sk3))),
    inference(unit_resulting_resolution,[],[f39,f16]) ).

fof(f16,axiom,
    ! [X0] :
      ( ~ environment(X0)
      | greater_or_equal(critical_point(X0),appear(efficient_producers,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_after_EP_48) ).

fof(f182,plain,
    ( ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(subsumption_resolution,[],[f178,f39]) ).

fof(f178,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | ~ environment(sk1(sk3))
    | ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(resolution,[],[f163,f12]) ).

fof(f314,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(subsumption_resolution,[],[f313,f39]) ).

fof(f313,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(subsumption_resolution,[],[f310,f54]) ).

fof(f310,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(resolution,[],[f308,f1]) ).

fof(f351,plain,
    ( zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(duplicate_literal_removal,[],[f350]) ).

fof(f350,plain,
    ( zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f348,f254]) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ~ greater_or_equal(X1,appear(efficient_producers,X0))
      | ~ in_environment(X0,X1)
      | ~ environment(X0)
      | greater(cardinality_at_time(efficient_producers,X1),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_57) ).

fof(f410,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3))) ),
    inference(duplicate_literal_removal,[],[f407]) ).

fof(f407,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f390,f187]) ).

fof(f390,plain,
    ( ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(duplicate_literal_removal,[],[f387]) ).

fof(f387,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(resolution,[],[f384,f182]) ).

fof(f417,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(subsumption_resolution,[],[f416,f39]) ).

fof(f416,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | ~ environment(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(subsumption_resolution,[],[f413,f54]) ).

fof(f413,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(resolution,[],[f411,f1]) ).

fof(f741,plain,
    ( selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(trivial_inequality_removal,[],[f740]) ).

fof(f740,plain,
    ( zero != zero
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),
    inference(duplicate_literal_removal,[],[f737]) ).

fof(f737,plain,
    ( zero != zero
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(superposition,[],[f666,f727]) ).

fof(f727,plain,
    ( zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(subsumption_resolution,[],[f726,f724]) ).

fof(f724,plain,
    ( greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(subsumption_resolution,[],[f723,f427]) ).

fof(f427,plain,
    ( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(superposition,[],[f84,f418]) ).

fof(f723,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(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)))) ),
    inference(subsumption_resolution,[],[f721,f39]) ).

fof(f721,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(resolution,[],[f716,f30]) ).

fof(f716,plain,
    ( subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3))) ),
    inference(duplicate_literal_removal,[],[f715]) ).

fof(f715,plain,
    ( subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(superposition,[],[f711,f418]) ).

fof(f711,plain,
    ( subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3))) ),
    inference(duplicate_literal_removal,[],[f706]) ).

fof(f706,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f704,f473]) ).

fof(f473,plain,
    ( greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f420,f20]) ).

fof(f420,plain,
    ( greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(superposition,[],[f62,f418]) ).

fof(f62,plain,
    greater_or_equal(cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)),zero),
    inference(unit_resulting_resolution,[],[f39,f60,f13]) ).

fof(f704,plain,
    ( ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3)) ),
    inference(duplicate_literal_removal,[],[f701]) ).

fof(f701,plain,
    ( ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(superposition,[],[f625,f418]) ).

fof(f625,plain,
    ( ~ greater(cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3)) ),
    inference(resolution,[],[f616,f150]) ).

fof(f150,plain,
    ( ~ greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero)
    | ~ greater(cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)),zero)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3)) ),
    inference(subsumption_resolution,[],[f147,f39]) ).

fof(f147,plain,
    ( ~ environment(sk1(sk3))
    | ~ greater(cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)),zero)
    | ~ greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3)) ),
    inference(resolution,[],[f12,f60]) ).

fof(f616,plain,
    ( greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(subsumption_resolution,[],[f612,f60]) ).

fof(f612,plain,
    ( ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
    | greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero)
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(resolution,[],[f581,f87]) ).

fof(f87,plain,
    greater_or_equal(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))),
    inference(unit_resulting_resolution,[],[f84,f21]) ).

fof(f581,plain,
    ! [X0] :
      ( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
      | ~ in_environment(sk1(sk3),X0)
      | greater(cardinality_at_time(efficient_producers,X0),zero)
      | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(subsumption_resolution,[],[f576,f39]) ).

fof(f576,plain,
    ! [X0] :
      ( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
      | ~ in_environment(sk1(sk3),X0)
      | ~ environment(sk1(sk3))
      | greater(cardinality_at_time(efficient_producers,X0),zero)
      | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(superposition,[],[f25,f459]) ).

fof(f459,plain,
    ( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(subsumption_resolution,[],[f447,f54]) ).

fof(f447,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(superposition,[],[f273,f418]) ).

fof(f273,plain,
    ( selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(subsumption_resolution,[],[f272,f208]) ).

fof(f208,plain,
    ( selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
    | zero = cardinality_at_time(first_movers,sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(subsumption_resolution,[],[f207,f206]) ).

fof(f206,plain,
    ( greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3)))
    | zero = cardinality_at_time(first_movers,sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(subsumption_resolution,[],[f205,f39]) ).

fof(f205,plain,
    ( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,sk2(sk1(sk3),sk3))
    | ~ environment(sk1(sk3))
    | greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3))) ),
    inference(subsumption_resolution,[],[f203,f84]) ).

fof(f203,plain,
    ( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,sk2(sk1(sk3),sk3))
    | ~ greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3))) ),
    inference(resolution,[],[f202,f30]) ).

fof(f202,plain,
    ( subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) ),
    inference(resolution,[],[f201,f71]) ).

fof(f71,plain,
    ( greater(cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)),zero)
    | zero = cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)) ),
    inference(resolution,[],[f62,f20]) ).

fof(f201,plain,
    ( ~ greater(cardinality_at_time(first_movers,sk2(sk1(sk3),sk3)),zero)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(resolution,[],[f150,f103]) ).

fof(f103,plain,
    ( greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(subsumption_resolution,[],[f102,f39]) ).

fof(f102,plain,
    ( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | ~ environment(sk1(sk3))
    | greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero) ),
    inference(subsumption_resolution,[],[f100,f60]) ).

fof(f100,plain,
    ( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | ~ in_environment(sk1(sk3),sk2(sk1(sk3),sk3))
    | ~ environment(sk1(sk3))
    | greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero) ),
    inference(resolution,[],[f99,f25]) ).

fof(f99,plain,
    ( greater_or_equal(sk2(sk1(sk3),sk3),appear(efficient_producers,sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(resolution,[],[f92,f21]) ).

fof(f207,plain,
    ( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,sk2(sk1(sk3),sk3))
    | selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
    | ~ greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3))) ),
    inference(subsumption_resolution,[],[f204,f39]) ).

fof(f204,plain,
    ( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,sk2(sk1(sk3),sk3))
    | selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
    | ~ environment(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,sk2(sk1(sk3),sk3)),growth_rate(first_movers,sk2(sk1(sk3),sk3))) ),
    inference(resolution,[],[f202,f1]) ).

fof(f272,plain,
    ( zero != cardinality_at_time(first_movers,sk2(sk1(sk3),sk3))
    | selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(resolution,[],[f270,f103]) ).

fof(f270,plain,
    ( ~ greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero)
    | zero != cardinality_at_time(first_movers,sk2(sk1(sk3),sk3))
    | selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),
    inference(resolution,[],[f221,f64]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ subpopulation(X0,sk1(sk3),sk2(sk1(sk3),sk3))
      | selection_favors(efficient_producers,X0,sk2(sk1(sk3),sk3))
      | zero != cardinality_at_time(X0,sk2(sk1(sk3),sk3))
      | ~ greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero) ),
    inference(subsumption_resolution,[],[f211,f39]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ environment(sk1(sk3))
      | ~ subpopulation(X0,sk1(sk3),sk2(sk1(sk3),sk3))
      | selection_favors(efficient_producers,X0,sk2(sk1(sk3),sk3))
      | zero != cardinality_at_time(X0,sk2(sk1(sk3),sk3))
      | ~ greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero) ),
    inference(resolution,[],[f2,f63]) ).

fof(f63,plain,
    subpopulation(efficient_producers,sk1(sk3),sk2(sk1(sk3),sk3)),
    inference(unit_resulting_resolution,[],[f39,f60,f15]) ).

fof(f726,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(subsumption_resolution,[],[f725,f39]) ).

fof(f725,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(subsumption_resolution,[],[f722,f54]) ).

fof(f722,plain,
    ( critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(resolution,[],[f716,f1]) ).

fof(f666,plain,
    ( zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),
    inference(duplicate_literal_removal,[],[f665]) ).

fof(f665,plain,
    ( zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
    inference(superposition,[],[f624,f418]) ).

fof(f624,plain,
    ( zero != cardinality_at_time(first_movers,sk2(sk1(sk3),sk3))
    | critical_point(sk1(sk3)) = start_time(sk1(sk3))
    | selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)) ),
    inference(resolution,[],[f616,f270]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( ~ greater_or_equal(X1,start_time(X0))
      | in_environment(X0,X1)
      | ~ environment(X0)
      | ~ greater_or_equal(end_time(X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_in_environment_42) ).

fof(f824,plain,
    ! [X0] :
      ( ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3)))
      | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
      | selection_favors(efficient_producers,X0,end_time(sk1(sk3)))
      | zero != cardinality_at_time(X0,end_time(sk1(sk3)))
      | ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
    inference(subsumption_resolution,[],[f821,f39]) ).

fof(f821,plain,
    ! [X0] :
      ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
      | ~ environment(sk1(sk3))
      | ~ subpopulation(X0,sk1(sk3),end_time(sk1(sk3)))
      | selection_favors(efficient_producers,X0,end_time(sk1(sk3)))
      | zero != cardinality_at_time(X0,end_time(sk1(sk3)))
      | ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
    inference(resolution,[],[f805,f2]) ).

fof(f805,plain,
    ( subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f800,f39]) ).

fof(f800,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | ~ environment(sk1(sk3))
    | subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(resolution,[],[f792,f15]) ).

fof(f1199,plain,
    ( greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f1198,f792]) ).

fof(f1198,plain,
    ( ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
    | greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(duplicate_literal_removal,[],[f1196]) ).

fof(f1196,plain,
    ( ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
    | greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f1178,f111]) ).

fof(f1178,plain,
    ! [X0] :
      ( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
      | ~ in_environment(sk1(sk3),X0)
      | greater(cardinality_at_time(efficient_producers,X0),zero)
      | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f1170,f39]) ).

fof(f1170,plain,
    ! [X0] :
      ( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
      | ~ in_environment(sk1(sk3),X0)
      | ~ environment(sk1(sk3))
      | greater(cardinality_at_time(efficient_producers,X0),zero)
      | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(superposition,[],[f25,f1153]) ).

fof(f1153,plain,
    ( critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f1152,f1020]) ).

fof(f1020,plain,
    ( zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f1019,f1017]) ).

fof(f1017,plain,
    ( greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3))))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f1016,f107]) ).

fof(f1016,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(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)))) ),
    inference(subsumption_resolution,[],[f1014,f39]) ).

fof(f1014,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(resolution,[],[f1013,f30]) ).

fof(f1013,plain,
    ( subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3))) ),
    inference(duplicate_literal_removal,[],[f1005]) ).

fof(f1005,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f984,f809]) ).

fof(f809,plain,
    ( greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f803,f20]) ).

fof(f803,plain,
    ( greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(subsumption_resolution,[],[f798,f39]) ).

fof(f798,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | ~ environment(sk1(sk3))
    | greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero) ),
    inference(resolution,[],[f792,f13]) ).

fof(f984,plain,
    ( ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(duplicate_literal_removal,[],[f975]) ).

fof(f975,plain,
    ( ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f802,f801]) ).

fof(f801,plain,
    ( greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(duplicate_literal_removal,[],[f793]) ).

fof(f793,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero) ),
    inference(resolution,[],[f792,f200]) ).

fof(f802,plain,
    ( ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(subsumption_resolution,[],[f797,f39]) ).

fof(f797,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | ~ environment(sk1(sk3))
    | ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | ~ greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(resolution,[],[f792,f12]) ).

fof(f1019,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(subsumption_resolution,[],[f1018,f39]) ).

fof(f1018,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(subsumption_resolution,[],[f1015,f54]) ).

fof(f1015,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(resolution,[],[f1013,f1]) ).

fof(f1152,plain,
    ( zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(duplicate_literal_removal,[],[f1143]) ).

fof(f1143,plain,
    ( zero != cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f1141,f801]) ).

fof(f1241,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3))) ),
    inference(duplicate_literal_removal,[],[f1231]) ).

fof(f1231,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3)))
    | zero = cardinality_at_time(first_movers,end_time(sk1(sk3)))
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
    inference(resolution,[],[f1211,f809]) ).

fof(f1211,plain,
    ( ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(duplicate_literal_removal,[],[f1202]) ).

fof(f1202,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | ~ greater(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero)
    | end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | subpopulations(first_movers,efficient_producers,sk1(sk3),end_time(sk1(sk3))) ),
    inference(resolution,[],[f1199,f802]) ).

fof(f1248,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(subsumption_resolution,[],[f1247,f39]) ).

fof(f1247,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | ~ environment(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(subsumption_resolution,[],[f1244,f54]) ).

fof(f1244,plain,
    ( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
    | selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | ~ environment(sk1(sk3))
    | ~ greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))) ),
    inference(resolution,[],[f1242,f1]) ).

fof(f64,plain,
    subpopulation(first_movers,sk1(sk3),sk2(sk1(sk3),sk3)),
    inference(unit_resulting_resolution,[],[f39,f60,f14]) ).

fof(f1258,plain,
    subpopulation(efficient_producers,sk1(sk3),end_time(sk1(sk3))),
    inference(superposition,[],[f63,f1249]) ).

fof(f1257,plain,
    greater_or_equal(cardinality_at_time(first_movers,end_time(sk1(sk3))),zero),
    inference(superposition,[],[f62,f1249]) ).

fof(f1469,plain,
    greater(cardinality_at_time(efficient_producers,end_time(sk1(sk3))),zero),
    inference(forward_demodulation,[],[f1462,f1249]) ).

fof(f1462,plain,
    greater(cardinality_at_time(efficient_producers,sk2(sk1(sk3),sk3)),zero),
    inference(unit_resulting_resolution,[],[f60,f87,f1434]) ).

fof(f1434,plain,
    ! [X0] :
      ( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
      | ~ in_environment(sk1(sk3),X0)
      | greater(cardinality_at_time(efficient_producers,X0),zero) ),
    inference(subsumption_resolution,[],[f1430,f39]) ).

fof(f1430,plain,
    ! [X0] :
      ( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
      | ~ in_environment(sk1(sk3),X0)
      | ~ environment(sk1(sk3))
      | greater(cardinality_at_time(efficient_producers,X0),zero) ),
    inference(superposition,[],[f25,f1323]) ).

fof(f1323,plain,
    critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)),
    inference(subsumption_resolution,[],[f1284,f54]) ).

fof(f1284,plain,
    ( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
    | critical_point(sk1(sk3)) = appear(efficient_producers,sk1(sk3)) ),
    inference(superposition,[],[f273,f1249]) ).

fof(f1256,plain,
    in_environment(sk1(sk3),end_time(sk1(sk3))),
    inference(superposition,[],[f60,f1249]) ).

fof(f54,plain,
    ~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))),
    inference(unit_resulting_resolution,[],[f26,f28,f37]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
      | selection_favors(efficient_producers,first_movers,X0)
      | ~ observational_period(X0) ),
    inference(subsumption_resolution,[],[f36,f9]) ).

fof(f36,plain,
    ! [X0] :
      ( ~ propagation_strategy(efficient_producers)
      | ~ observational_period(X0)
      | selection_favors(efficient_producers,first_movers,X0)
      | ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0))) ),
    inference(subsumption_resolution,[],[f5,f8]) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ propagation_strategy(first_movers)
      | ~ propagation_strategy(efficient_producers)
      | ~ observational_period(X0)
      | selection_favors(efficient_producers,first_movers,X0)
      | ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_37) ).

fof(f39,plain,
    environment(sk1(sk3)),
    inference(unit_resulting_resolution,[],[f26,f28,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( ~ observational_period(X0)
      | environment(sk1(X0))
      | selection_favors(efficient_producers,first_movers,X0) ),
    inference(subsumption_resolution,[],[f32,f9]) ).

fof(f32,plain,
    ! [X0] :
      ( ~ propagation_strategy(efficient_producers)
      | ~ observational_period(X0)
      | environment(sk1(X0))
      | selection_favors(efficient_producers,first_movers,X0) ),
    inference(subsumption_resolution,[],[f3,f8]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ propagation_strategy(first_movers)
      | ~ propagation_strategy(efficient_producers)
      | ~ observational_period(X0)
      | environment(sk1(X0))
      | selection_favors(efficient_producers,first_movers,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp3_favoured_trategy_35) ).

fof(f1510,plain,
    greater(growth_rate(efficient_producers,end_time(sk1(sk3))),growth_rate(first_movers,end_time(sk1(sk3)))),
    inference(unit_resulting_resolution,[],[f39,f1264,f1494,f30]) ).

fof(f1264,plain,
    greater(end_time(sk1(sk3)),critical_point(sk1(sk3))),
    inference(superposition,[],[f84,f1249]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : MGT039-2 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36  % Computer : n027.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 20:03:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  % (5014)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.38  % (5017)WARNING: value z3 for option sas not known
% 0.23/0.38  % (5018)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.23/0.38  % (5016)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.23/0.38  % (5015)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.23/0.38  % (5017)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.38  % (5019)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.23/0.38  % (5020)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.23/0.38  % (5021)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.23/0.38  TRYING [1]
% 0.23/0.38  TRYING [2]
% 0.23/0.39  TRYING [3]
% 0.23/0.39  TRYING [1]
% 0.23/0.39  TRYING [2]
% 0.23/0.41  TRYING [3]
% 0.23/0.42  % (5021)First to succeed.
% 0.23/0.43  % (5021)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5014"
% 0.23/0.43  % (5021)Refutation found. Thanks to Tanya!
% 0.23/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.43  % (5021)------------------------------
% 0.23/0.43  % (5021)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.43  % (5021)Termination reason: Refutation
% 0.23/0.43  
% 0.23/0.43  % (5021)Memory used [KB]: 1121
% 0.23/0.43  % (5021)Time elapsed: 0.050 s
% 0.23/0.43  % (5021)Instructions burned: 94 (million)
% 0.23/0.43  % (5014)Success in time 0.067 s
%------------------------------------------------------------------------------