TSTP Solution File: MGT037-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : MGT037-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 : Thu Aug 31 09:14:29 EDT 2023

% Result   : Unsatisfiable 2.05s 1.13s
% Output   : CNFRefutation 2.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   24
% Syntax   : Number of clauses     :   89 (  13 unt;  32 nHn;  89 RR)
%            Number of literals    :  304 (  84 equ; 178 neg)
%            Maximal clause size   :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-2 aty)
%            Number of variables   :  115 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_50,plain,
    ( cardinality_at_time(efficient_producers,X0) != zero
    | ~ greater_or_equal(X0,appear(efficient_producers,X1))
    | ~ environment(X1)
    | in_environment(X1,sk1(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_previous_negative_growth_29) ).

cnf(c_52,plain,
    ( cardinality_at_time(efficient_producers,X0) != zero
    | ~ greater_or_equal(X0,appear(efficient_producers,X1))
    | ~ environment(X1)
    | greater(zero,growth_rate(efficient_producers,sk1(X0,X1))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_previous_negative_growth_31) ).

cnf(c_53,plain,
    ( ~ greater(appear(an_organisation,X0),X1)
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | number_of_organizations(X0,X1) = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_start_of_organizations_32) ).

cnf(c_54,plain,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | subpopulation(sk2(X1,X0),X0,X1)
    | decreases(number_of_organizations(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_33) ).

cnf(c_55,plain,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | greater(cardinality_at_time(sk2(X1,X0),X1),zero)
    | decreases(number_of_organizations(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_34) ).

cnf(c_56,plain,
    ( ~ greater(zero,growth_rate(sk2(X0,X1),X0))
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | decreases(number_of_organizations(X1,X0)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_decreasing_35) ).

cnf(c_57,plain,
    ( number_of_organizations(X0,X1) != zero
    | ~ subpopulation(X2,X0,X1)
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | cardinality_at_time(X2,X1) = zero ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_no_members_36) ).

cnf(c_59,plain,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | subpopulation(efficient_producers,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_38) ).

cnf(c_60,plain,
    ( cardinality_at_time(X0,X1) != zero
    | ~ greater(zero,growth_rate(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_empty_not_decreasing_39) ).

cnf(c_61,plain,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | cardinality_at_time(efficient_producers,X1) = zero
    | greater(cardinality_at_time(efficient_producers,X1),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_efficient_producers_exist_40) ).

cnf(c_62,plain,
    ( ~ decreases(X0)
    | ~ constant(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_constant_not_decrease_41) ).

cnf(c_63,plain,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | greater_or_equal(X1,appear(an_organisation,X0))
    | greater(appear(an_organisation,X0),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_environment_inequality_42) ).

cnf(c_64,plain,
    ( ~ greater(number_of_organizations(X0,X1),zero)
    | ~ greater(equilibrium(X0),X1)
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | decreases(resources(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_43) ).

cnf(c_65,plain,
    ( ~ greater(number_of_organizations(X0,X1),zero)
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | greater(equilibrium(X0),X1)
    | constant(resources(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_44) ).

cnf(c_66,plain,
    ( ~ greater_or_equal(X0,appear(an_organisation,X1))
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | greater(number_of_organizations(X1,X0),zero) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_45) ).

cnf(c_67,plain,
    ( ~ decreases(number_of_organizations(X0,X1))
    | ~ decreases(resources(X0,X1))
    | ~ in_environment(X0,X1)
    | ~ environment(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_46) ).

cnf(c_68,plain,
    ( ~ constant(resources(X0,X1))
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | constant(number_of_organizations(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_47) ).

cnf(c_69,plain,
    ( ~ greater(resilience(X0),resilience(X1))
    | ~ greater(zero,growth_rate(X0,X2))
    | ~ in_environment(X3,X2)
    | ~ environment(X3)
    | greater(zero,growth_rate(X1,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_48) ).

cnf(c_70,plain,
    greater(resilience(efficient_producers),resilience(first_movers)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_49) ).

cnf(c_71,plain,
    ( ~ greater(cardinality_at_time(X0,X1),zero)
    | ~ subpopulation(X0,X2,X1)
    | ~ environment(X2)
    | X0 = efficient_producers
    | X0 = first_movers ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a9_50) ).

cnf(c_72,negated_conjecture,
    environment(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_51) ).

cnf(c_73,negated_conjecture,
    in_environment(sk3,sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_52) ).

cnf(c_74,negated_conjecture,
    greater_or_equal(sk4,appear(efficient_producers,sk3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_53) ).

cnf(c_75,negated_conjecture,
    ~ greater(cardinality_at_time(efficient_producers,sk4),zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t6_54) ).

cnf(c_485,plain,
    ( sk2(X0,X1) != X2
    | X0 != X4
    | X1 != X3
    | ~ greater(cardinality_at_time(X2,X4),zero)
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | ~ environment(X3)
    | X2 = efficient_producers
    | X2 = first_movers
    | decreases(number_of_organizations(X1,X0)) ),
    inference(resolution_lifted,[status(thm)],[c_54,c_71]) ).

cnf(c_486,plain,
    ( ~ greater(cardinality_at_time(sk2(X0,X1),X0),zero)
    | ~ in_environment(X1,X0)
    | ~ environment(X1)
    | sk2(X0,X1) = efficient_producers
    | sk2(X0,X1) = first_movers
    | decreases(number_of_organizations(X1,X0)) ),
    inference(unflattening,[status(thm)],[c_485]) ).

cnf(c_500,plain,
    ( ~ in_environment(X0,X1)
    | ~ environment(X0)
    | sk2(X1,X0) = efficient_producers
    | sk2(X1,X0) = first_movers
    | decreases(number_of_organizations(X0,X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_486,c_55]) ).

cnf(c_522,plain,
    ( number_of_organizations(X0,X1) != zero
    | X0 != X2
    | X1 != X3
    | X4 != efficient_producers
    | ~ in_environment(X0,X1)
    | ~ in_environment(X2,X3)
    | ~ environment(X0)
    | ~ environment(X2)
    | cardinality_at_time(X4,X1) = zero ),
    inference(resolution_lifted,[status(thm)],[c_57,c_59]) ).

cnf(c_523,plain,
    ( number_of_organizations(X0,X1) != zero
    | ~ in_environment(X0,X1)
    | ~ environment(X0)
    | cardinality_at_time(efficient_producers,X1) = zero ),
    inference(unflattening,[status(thm)],[c_522]) ).

cnf(c_809,plain,
    ( number_of_organizations(X0,X1) != zero
    | X0 != sk3
    | ~ in_environment(X0,X1)
    | cardinality_at_time(efficient_producers,X1) = zero ),
    inference(resolution_lifted,[status(thm)],[c_523,c_72]) ).

cnf(c_810,plain,
    ( number_of_organizations(sk3,X0) != zero
    | ~ in_environment(sk3,X0)
    | cardinality_at_time(efficient_producers,X0) = zero ),
    inference(unflattening,[status(thm)],[c_809]) ).

cnf(c_833,plain,
    ( X0 != sk3
    | ~ in_environment(X0,X1)
    | sk2(X1,X0) = efficient_producers
    | sk2(X1,X0) = first_movers
    | decreases(number_of_organizations(X0,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_500,c_72]) ).

cnf(c_834,plain,
    ( ~ in_environment(sk3,X0)
    | sk2(X0,sk3) = efficient_producers
    | sk2(X0,sk3) = first_movers
    | decreases(number_of_organizations(sk3,X0)) ),
    inference(unflattening,[status(thm)],[c_833]) ).

cnf(c_863,plain,
    ( X0 != sk3
    | ~ constant(resources(X0,X1))
    | ~ in_environment(X0,X1)
    | constant(number_of_organizations(X0,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_68,c_72]) ).

cnf(c_864,plain,
    ( ~ constant(resources(sk3,X0))
    | ~ in_environment(sk3,X0)
    | constant(number_of_organizations(sk3,X0)) ),
    inference(unflattening,[status(thm)],[c_863]) ).

cnf(c_875,plain,
    ( X0 != sk3
    | ~ decreases(number_of_organizations(X0,X1))
    | ~ decreases(resources(X0,X1))
    | ~ in_environment(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_67,c_72]) ).

cnf(c_876,plain,
    ( ~ decreases(number_of_organizations(sk3,X0))
    | ~ decreases(resources(sk3,X0))
    | ~ in_environment(sk3,X0) ),
    inference(unflattening,[status(thm)],[c_875]) ).

cnf(c_887,plain,
    ( X0 != sk3
    | ~ greater(number_of_organizations(X0,X1),zero)
    | ~ in_environment(X0,X1)
    | greater(equilibrium(X0),X1)
    | constant(resources(X0,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_65,c_72]) ).

cnf(c_888,plain,
    ( ~ greater(number_of_organizations(sk3,X0),zero)
    | ~ in_environment(sk3,X0)
    | greater(equilibrium(sk3),X0)
    | constant(resources(sk3,X0)) ),
    inference(unflattening,[status(thm)],[c_887]) ).

cnf(c_902,plain,
    ( X0 != sk3
    | ~ greater(number_of_organizations(X0,X1),zero)
    | ~ greater(equilibrium(X0),X1)
    | ~ in_environment(X0,X1)
    | decreases(resources(X0,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_64,c_72]) ).

cnf(c_903,plain,
    ( ~ greater(number_of_organizations(sk3,X0),zero)
    | ~ greater(equilibrium(sk3),X0)
    | ~ in_environment(sk3,X0)
    | decreases(resources(sk3,X0)) ),
    inference(unflattening,[status(thm)],[c_902]) ).

cnf(c_917,plain,
    ( X0 != sk3
    | ~ in_environment(X0,X1)
    | greater_or_equal(X1,appear(an_organisation,X0))
    | greater(appear(an_organisation,X0),X1) ),
    inference(resolution_lifted,[status(thm)],[c_63,c_72]) ).

cnf(c_918,plain,
    ( ~ in_environment(sk3,X0)
    | greater_or_equal(X0,appear(an_organisation,sk3))
    | greater(appear(an_organisation,sk3),X0) ),
    inference(unflattening,[status(thm)],[c_917]) ).

cnf(c_929,plain,
    ( X0 != sk3
    | ~ in_environment(X0,X1)
    | cardinality_at_time(efficient_producers,X1) = zero
    | greater(cardinality_at_time(efficient_producers,X1),zero) ),
    inference(resolution_lifted,[status(thm)],[c_61,c_72]) ).

cnf(c_930,plain,
    ( ~ in_environment(sk3,X0)
    | cardinality_at_time(efficient_producers,X0) = zero
    | greater(cardinality_at_time(efficient_producers,X0),zero) ),
    inference(unflattening,[status(thm)],[c_929]) ).

cnf(c_953,plain,
    ( X0 != sk3
    | ~ greater(appear(an_organisation,X0),X1)
    | ~ in_environment(X0,X1)
    | number_of_organizations(X0,X1) = zero ),
    inference(resolution_lifted,[status(thm)],[c_53,c_72]) ).

cnf(c_954,plain,
    ( ~ greater(appear(an_organisation,sk3),X0)
    | ~ in_environment(sk3,X0)
    | number_of_organizations(sk3,X0) = zero ),
    inference(unflattening,[status(thm)],[c_953]) ).

cnf(c_965,plain,
    ( X0 != sk3
    | ~ greater_or_equal(X1,appear(an_organisation,X0))
    | ~ in_environment(X0,X1)
    | greater(number_of_organizations(X0,X1),zero) ),
    inference(resolution_lifted,[status(thm)],[c_66,c_72]) ).

cnf(c_966,plain,
    ( ~ greater_or_equal(X0,appear(an_organisation,sk3))
    | ~ in_environment(sk3,X0)
    | greater(number_of_organizations(sk3,X0),zero) ),
    inference(unflattening,[status(thm)],[c_965]) ).

cnf(c_977,plain,
    ( X0 != sk3
    | ~ greater(zero,growth_rate(sk2(X1,X0),X1))
    | ~ in_environment(X0,X1)
    | decreases(number_of_organizations(X0,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_56,c_72]) ).

cnf(c_978,plain,
    ( ~ greater(zero,growth_rate(sk2(X0,sk3),X0))
    | ~ in_environment(sk3,X0)
    | decreases(number_of_organizations(sk3,X0)) ),
    inference(unflattening,[status(thm)],[c_977]) ).

cnf(c_989,plain,
    ( cardinality_at_time(efficient_producers,X0) != zero
    | X1 != sk3
    | ~ greater_or_equal(X0,appear(efficient_producers,X1))
    | greater(zero,growth_rate(efficient_producers,sk1(X0,X1))) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_72]) ).

cnf(c_990,plain,
    ( cardinality_at_time(efficient_producers,X0) != zero
    | ~ greater_or_equal(X0,appear(efficient_producers,sk3))
    | greater(zero,growth_rate(efficient_producers,sk1(X0,sk3))) ),
    inference(unflattening,[status(thm)],[c_989]) ).

cnf(c_1013,plain,
    ( cardinality_at_time(efficient_producers,X0) != zero
    | X1 != sk3
    | ~ greater_or_equal(X0,appear(efficient_producers,X1))
    | in_environment(X1,sk1(X0,X1)) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_72]) ).

cnf(c_1014,plain,
    ( cardinality_at_time(efficient_producers,X0) != zero
    | ~ greater_or_equal(X0,appear(efficient_producers,sk3))
    | in_environment(sk3,sk1(X0,sk3)) ),
    inference(unflattening,[status(thm)],[c_1013]) ).

cnf(c_1037,plain,
    ( X0 != sk3
    | ~ greater(resilience(X1),resilience(X2))
    | ~ greater(zero,growth_rate(X1,X3))
    | ~ in_environment(X0,X3)
    | greater(zero,growth_rate(X2,X3)) ),
    inference(resolution_lifted,[status(thm)],[c_69,c_72]) ).

cnf(c_1038,plain,
    ( ~ greater(resilience(X0),resilience(X1))
    | ~ greater(zero,growth_rate(X0,X2))
    | ~ in_environment(sk3,X2)
    | greater(zero,growth_rate(X1,X2)) ),
    inference(unflattening,[status(thm)],[c_1037]) ).

cnf(c_1113,plain,
    ( appear(an_organisation,sk3) != appear(an_organisation,sk3)
    | X0 != X1
    | ~ in_environment(sk3,X0)
    | ~ in_environment(sk3,X1)
    | greater(number_of_organizations(sk3,X1),zero)
    | greater(appear(an_organisation,sk3),X0) ),
    inference(resolution_lifted,[status(thm)],[c_918,c_966]) ).

cnf(c_1114,plain,
    ( ~ in_environment(sk3,X0)
    | greater(number_of_organizations(sk3,X0),zero)
    | greater(appear(an_organisation,sk3),X0) ),
    inference(unflattening,[status(thm)],[c_1113]) ).

cnf(c_3122,plain,
    ( ~ in_environment(sk3,sk4)
    | cardinality_at_time(efficient_producers,sk4) = zero ),
    inference(superposition,[status(thm)],[c_930,c_75]) ).

cnf(c_3123,plain,
    cardinality_at_time(efficient_producers,sk4) = zero,
    inference(forward_subsumption_resolution,[status(thm)],[c_3122,c_73]) ).

cnf(c_3131,plain,
    ( ~ in_environment(sk3,X0)
    | greater(number_of_organizations(sk3,X0),zero)
    | greater(appear(an_organisation,sk3),X0) ),
    inference(superposition,[status(thm)],[c_918,c_966]) ).

cnf(c_3189,plain,
    ( ~ in_environment(sk3,X0)
    | greater(appear(an_organisation,sk3),X0)
    | greater(equilibrium(sk3),X0)
    | constant(resources(sk3,X0)) ),
    inference(superposition,[status(thm)],[c_3131,c_888]) ).

cnf(c_3209,plain,
    ( ~ greater_or_equal(sk4,appear(efficient_producers,sk3))
    | in_environment(sk3,sk1(sk4,sk3)) ),
    inference(superposition,[status(thm)],[c_3123,c_1014]) ).

cnf(c_3210,plain,
    in_environment(sk3,sk1(sk4,sk3)),
    inference(forward_subsumption_resolution,[status(thm)],[c_3209,c_74]) ).

cnf(c_3219,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,X0))
    | ~ in_environment(sk3,X0)
    | greater(zero,growth_rate(first_movers,X0)) ),
    inference(superposition,[status(thm)],[c_70,c_1038]) ).

cnf(c_3264,plain,
    ( ~ greater_or_equal(sk4,appear(efficient_producers,sk3))
    | greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) ),
    inference(superposition,[status(thm)],[c_3123,c_990]) ).

cnf(c_3265,plain,
    greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))),
    inference(forward_subsumption_resolution,[status(thm)],[c_3264,c_74]) ).

cnf(c_3266,plain,
    ( ~ in_environment(sk3,sk1(sk4,sk3))
    | greater(zero,growth_rate(first_movers,sk1(sk4,sk3))) ),
    inference(superposition,[status(thm)],[c_3265,c_3219]) ).

cnf(c_3267,plain,
    greater(zero,growth_rate(first_movers,sk1(sk4,sk3))),
    inference(forward_subsumption_resolution,[status(thm)],[c_3266,c_3210]) ).

cnf(c_3276,plain,
    ( ~ in_environment(sk3,X0)
    | number_of_organizations(sk3,X0) = zero
    | greater(equilibrium(sk3),X0)
    | constant(resources(sk3,X0)) ),
    inference(superposition,[status(thm)],[c_3189,c_954]) ).

cnf(c_3321,plain,
    ( ~ in_environment(sk3,X0)
    | number_of_organizations(sk3,X0) = zero
    | greater(equilibrium(sk3),X0)
    | constant(number_of_organizations(sk3,X0)) ),
    inference(superposition,[status(thm)],[c_3276,c_864]) ).

cnf(c_3340,plain,
    ( ~ decreases(number_of_organizations(sk3,X0))
    | ~ in_environment(sk3,X0)
    | number_of_organizations(sk3,X0) = zero
    | greater(equilibrium(sk3),X0) ),
    inference(superposition,[status(thm)],[c_3321,c_62]) ).

cnf(c_3370,plain,
    ( number_of_organizations(sk3,X0) = zero
    | ~ in_environment(sk3,X0)
    | ~ decreases(number_of_organizations(sk3,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_3340,c_876,c_903,c_954,c_1114,c_3340]) ).

cnf(c_3371,plain,
    ( ~ decreases(number_of_organizations(sk3,X0))
    | ~ in_environment(sk3,X0)
    | number_of_organizations(sk3,X0) = zero ),
    inference(renaming,[status(thm)],[c_3370]) ).

cnf(c_3379,plain,
    ( ~ in_environment(sk3,X0)
    | number_of_organizations(sk3,X0) = zero
    | sk2(X0,sk3) = efficient_producers
    | sk2(X0,sk3) = first_movers ),
    inference(superposition,[status(thm)],[c_834,c_3371]) ).

cnf(c_3394,plain,
    ( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
    | sk2(sk1(sk4,sk3),sk3) = efficient_producers
    | sk2(sk1(sk4,sk3),sk3) = first_movers ),
    inference(superposition,[status(thm)],[c_3210,c_3379]) ).

cnf(c_3441,plain,
    ( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
    | ~ in_environment(sk3,sk1(sk4,sk3))
    | number_of_organizations(sk3,sk1(sk4,sk3)) = zero
    | sk2(sk1(sk4,sk3),sk3) = efficient_producers
    | decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
    inference(superposition,[status(thm)],[c_3394,c_978]) ).

cnf(c_3448,plain,
    ( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
    | sk2(sk1(sk4,sk3),sk3) = efficient_producers
    | decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3441,c_3210,c_3267]) ).

cnf(c_3458,plain,
    ( ~ in_environment(sk3,sk1(sk4,sk3))
    | number_of_organizations(sk3,sk1(sk4,sk3)) = zero
    | sk2(sk1(sk4,sk3),sk3) = efficient_producers ),
    inference(superposition,[status(thm)],[c_3448,c_3371]) ).

cnf(c_3460,plain,
    ( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
    | sk2(sk1(sk4,sk3),sk3) = efficient_producers ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3458,c_3210]) ).

cnf(c_3467,plain,
    ( ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
    | ~ in_environment(sk3,sk1(sk4,sk3))
    | number_of_organizations(sk3,sk1(sk4,sk3)) = zero
    | decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
    inference(superposition,[status(thm)],[c_3460,c_978]) ).

cnf(c_3473,plain,
    ( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
    | decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3467,c_3210,c_3265]) ).

cnf(c_3480,plain,
    ( ~ in_environment(sk3,sk1(sk4,sk3))
    | number_of_organizations(sk3,sk1(sk4,sk3)) = zero ),
    inference(superposition,[status(thm)],[c_3473,c_3371]) ).

cnf(c_3482,plain,
    number_of_organizations(sk3,sk1(sk4,sk3)) = zero,
    inference(forward_subsumption_resolution,[status(thm)],[c_3480,c_3210]) ).

cnf(c_3490,plain,
    ( ~ in_environment(sk3,sk1(sk4,sk3))
    | cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = zero ),
    inference(superposition,[status(thm)],[c_3482,c_810]) ).

cnf(c_3493,plain,
    cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = zero,
    inference(forward_subsumption_resolution,[status(thm)],[c_3490,c_3210]) ).

cnf(c_3513,plain,
    ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))),
    inference(superposition,[status(thm)],[c_3493,c_60]) ).

cnf(c_3514,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3513,c_3265]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : MGT037-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n024.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Mon Aug 28 06:12:08 EDT 2023
% 0.10/0.32  % CPUTime  : 
% 0.17/0.42  Running first-order theorem proving
% 0.17/0.42  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 2.05/1.13  % SZS status Started for theBenchmark.p
% 2.05/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 2.05/1.13  
% 2.05/1.13  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.05/1.13  
% 2.05/1.13  ------  iProver source info
% 2.05/1.13  
% 2.05/1.13  git: date: 2023-05-31 18:12:56 +0000
% 2.05/1.13  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.05/1.13  git: non_committed_changes: false
% 2.05/1.13  git: last_make_outside_of_git: false
% 2.05/1.13  
% 2.05/1.13  ------ Parsing...successful
% 2.05/1.13  
% 2.05/1.13  
% 2.05/1.13  
% 2.05/1.13  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 2.05/1.13  
% 2.05/1.13  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.05/1.13  
% 2.05/1.13  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.05/1.13  ------ Proving...
% 2.05/1.13  ------ Problem Properties 
% 2.05/1.13  
% 2.05/1.13  
% 2.05/1.13  clauses                                 25
% 2.05/1.13  conjectures                             3
% 2.05/1.13  EPR                                     2
% 2.05/1.13  Horn                                    19
% 2.05/1.13  unary                                   4
% 2.05/1.13  binary                                  2
% 2.05/1.13  lits                                    70
% 2.05/1.13  lits eq                                 15
% 2.05/1.13  fd_pure                                 0
% 2.05/1.13  fd_pseudo                               0
% 2.05/1.13  fd_cond                                 0
% 2.05/1.13  fd_pseudo_cond                          0
% 2.05/1.13  AC symbols                              0
% 2.05/1.13  
% 2.05/1.13  ------ Schedule dynamic 5 is on 
% 2.05/1.13  
% 2.05/1.13  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.05/1.13  
% 2.05/1.13  
% 2.05/1.13  ------ 
% 2.05/1.13  Current options:
% 2.05/1.13  ------ 
% 2.05/1.13  
% 2.05/1.13  
% 2.05/1.13  
% 2.05/1.13  
% 2.05/1.13  ------ Proving...
% 2.05/1.13  
% 2.05/1.13  
% 2.05/1.13  % SZS status Unsatisfiable for theBenchmark.p
% 2.05/1.13  
% 2.05/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.05/1.13  
% 2.05/1.13  
%------------------------------------------------------------------------------