TSTP Solution File: MGT037-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT037-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 : 600s
% DateTime : Sun Jul 17 22:19:45 EDT 2022
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 28
% Syntax : Number of clauses : 132 ( 19 unt; 61 nHn; 132 RR)
% Number of literals : 410 ( 88 equ; 205 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_previous_negative_growth_29,axiom,
( ~ environment(A)
| ~ greater_or_equal(B,appear(efficient_producers,A))
| cardinality_at_time(efficient_producers,B) != zero
| in_environment(A,sk1(B,A)) ) ).
cnf(mp_previous_negative_growth_31,axiom,
( ~ environment(A)
| ~ greater_or_equal(B,appear(efficient_producers,A))
| cardinality_at_time(efficient_producers,B) != zero
| greater(zero,growth_rate(efficient_producers,sk1(B,A))) ) ).
cnf(mp_start_of_organizations_32,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(appear(an_organisation,A),B)
| number_of_organizations(A,B) = zero ) ).
cnf(mp_non_decreasing_33,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| decreases(number_of_organizations(A,B))
| subpopulation(sk2(B,A),A,B) ) ).
cnf(mp_non_decreasing_34,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| decreases(number_of_organizations(A,B))
| greater(cardinality_at_time(sk2(B,A),B),zero) ) ).
cnf(mp_non_decreasing_35,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| decreases(number_of_organizations(A,B))
| ~ greater(zero,growth_rate(sk2(B,A),B)) ) ).
cnf(mp_no_members_36,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| number_of_organizations(A,B) != zero
| ~ subpopulation(C,A,B)
| cardinality_at_time(C,B) = zero ) ).
cnf(mp_subpopulations_38,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulation(efficient_producers,A,B) ) ).
cnf(mp_empty_not_decreasing_39,axiom,
( cardinality_at_time(A,B) != zero
| ~ greater(zero,growth_rate(A,B)) ) ).
cnf(mp_efficient_producers_exist_40,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| cardinality_at_time(efficient_producers,B) = zero
| greater(cardinality_at_time(efficient_producers,B),zero) ) ).
cnf(mp_constant_not_decrease_41,axiom,
( ~ constant(A)
| ~ decreases(A) ) ).
cnf(mp_environment_inequality_42,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| greater_or_equal(B,appear(an_organisation,A))
| greater(appear(an_organisation,A),B) ) ).
cnf(a3_43,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ greater(equilibrium(A),B)
| decreases(resources(A,B)) ) ).
cnf(a3_44,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| greater(equilibrium(A),B)
| constant(resources(A,B)) ) ).
cnf(a1_45,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater_or_equal(B,appear(an_organisation,A))
| greater(number_of_organizations(A,B),zero) ) ).
cnf(a6_46,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ decreases(resources(A,B))
| ~ decreases(number_of_organizations(A,B)) ) ).
cnf(a6_47,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ constant(resources(A,B))
| constant(number_of_organizations(A,B)) ) ).
cnf(a12_48,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| greater(zero,growth_rate(C,B))
| ~ greater(resilience(D),resilience(C))
| ~ greater(zero,growth_rate(D,B)) ) ).
cnf(a2_49,hypothesis,
greater(resilience(efficient_producers),resilience(first_movers)) ).
cnf(a9_50,hypothesis,
( ~ environment(A)
| ~ subpopulation(B,A,C)
| ~ greater(cardinality_at_time(B,C),zero)
| B = efficient_producers
| B = first_movers ) ).
cnf(prove_t6_51,negated_conjecture,
environment(sk3) ).
cnf(prove_t6_52,negated_conjecture,
in_environment(sk3,sk4) ).
cnf(prove_t6_53,negated_conjecture,
greater_or_equal(sk4,appear(efficient_producers,sk3)) ).
cnf(prove_t6_54,negated_conjecture,
~ greater(cardinality_at_time(efficient_producers,sk4),zero) ).
cnf(refute_0_0,plain,
( ~ constant(resources(sk3,sk1(sk4,sk3)))
| ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| constant(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(subst,[],[a6_47:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_1,plain,
( ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ decreases(resources(sk3,sk1(sk4,sk3)))
| ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3)) ),
inference(subst,[],[a6_46:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_2,plain,
( ~ environment(sk3)
| ~ greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| number_of_organizations(sk3,sk1(sk4,sk3)) = zero ),
inference(subst,[],[mp_start_of_organizations_32:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_3,plain,
( ~ environment(sk3)
| ~ greater_or_equal(sk1(sk4,sk3),appear(an_organisation,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero) ),
inference(subst,[],[a1_45:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_4,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| greater_or_equal(sk1(sk4,sk3),appear(an_organisation,sk3)) ),
inference(subst,[],[mp_environment_inequality_42:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_5,plain,
( cardinality_at_time(efficient_producers,sk4) != zero
| ~ environment(sk3)
| ~ greater_or_equal(sk4,appear(efficient_producers,sk3))
| in_environment(sk3,sk1(sk4,sk3)) ),
inference(subst,[],[mp_previous_negative_growth_29:[bind(A,$fot(sk3)),bind(B,$fot(sk4))]]) ).
cnf(refute_0_6,plain,
( cardinality_at_time(efficient_producers,sk4) != zero
| ~ environment(sk3)
| in_environment(sk3,sk1(sk4,sk3)) ),
inference(resolve,[$cnf( greater_or_equal(sk4,appear(efficient_producers,sk3)) )],[prove_t6_53,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk4)
| cardinality_at_time(efficient_producers,sk4) = zero
| greater(cardinality_at_time(efficient_producers,sk4),zero) ),
inference(subst,[],[mp_efficient_producers_exist_40:[bind(A,$fot(sk3)),bind(B,$fot(sk4))]]) ).
cnf(refute_0_8,plain,
( ~ environment(sk3)
| cardinality_at_time(efficient_producers,sk4) = zero
| greater(cardinality_at_time(efficient_producers,sk4),zero) ),
inference(resolve,[$cnf( in_environment(sk3,sk4) )],[prove_t6_52,refute_0_7]) ).
cnf(refute_0_9,plain,
( cardinality_at_time(efficient_producers,sk4) = zero
| greater(cardinality_at_time(efficient_producers,sk4),zero) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_8]) ).
cnf(refute_0_10,plain,
cardinality_at_time(efficient_producers,sk4) = zero,
inference(resolve,[$cnf( greater(cardinality_at_time(efficient_producers,sk4),zero) )],[refute_0_9,prove_t6_54]) ).
cnf(refute_0_11,plain,
( cardinality_at_time(efficient_producers,sk4) != zero
| zero != zero
| cardinality_at_time(efficient_producers,sk4) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(cardinality_at_time(efficient_producers,sk4),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_12,plain,
( zero != zero
| cardinality_at_time(efficient_producers,sk4) = zero ),
inference(resolve,[$cnf( $equal(cardinality_at_time(efficient_producers,sk4),zero) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( zero != zero
| ~ environment(sk3)
| in_environment(sk3,sk1(sk4,sk3)) ),
inference(resolve,[$cnf( $equal(cardinality_at_time(efficient_producers,sk4),zero) )],[refute_0_12,refute_0_6]) ).
cnf(refute_0_14,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_15,plain,
( ~ environment(sk3)
| in_environment(sk3,sk1(sk4,sk3)) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_14,refute_0_13]) ).
cnf(refute_0_16,plain,
in_environment(sk3,sk1(sk4,sk3)),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ environment(sk3)
| greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| greater_or_equal(sk1(sk4,sk3),appear(an_organisation,sk3)) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_4]) ).
cnf(refute_0_18,plain,
( greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| greater_or_equal(sk1(sk4,sk3),appear(an_organisation,sk3)) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero) ),
inference(resolve,[$cnf( greater_or_equal(sk1(sk4,sk3),appear(an_organisation,sk3)) )],[refute_0_18,refute_0_3]) ).
cnf(refute_0_20,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_19]) ).
cnf(refute_0_21,plain,
( greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ environment(sk3)
| ~ greater(equilibrium(sk3),sk1(sk4,sk3))
| ~ greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero)
| ~ in_environment(sk3,sk1(sk4,sk3))
| decreases(resources(sk3,sk1(sk4,sk3))) ),
inference(subst,[],[a3_43:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_23,plain,
( ~ environment(sk3)
| ~ greater(equilibrium(sk3),sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| decreases(resources(sk3,sk1(sk4,sk3)))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3)) ),
inference(resolve,[$cnf( greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ greater(equilibrium(sk3),sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| decreases(resources(sk3,sk1(sk4,sk3)))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3)) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ greater(equilibrium(sk3),sk1(sk4,sk3))
| decreases(resources(sk3,sk1(sk4,sk3)))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3)) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ environment(sk3)
| ~ greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero)
| ~ in_environment(sk3,sk1(sk4,sk3))
| constant(resources(sk3,sk1(sk4,sk3)))
| greater(equilibrium(sk3),sk1(sk4,sk3)) ),
inference(subst,[],[a3_44:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_27,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| constant(resources(sk3,sk1(sk4,sk3)))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| greater(equilibrium(sk3),sk1(sk4,sk3)) ),
inference(resolve,[$cnf( greater(number_of_organizations(sk3,sk1(sk4,sk3)),zero) )],[refute_0_21,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| constant(resources(sk3,sk1(sk4,sk3)))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| greater(equilibrium(sk3),sk1(sk4,sk3)) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_27]) ).
cnf(refute_0_29,plain,
( constant(resources(sk3,sk1(sk4,sk3)))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3))
| greater(equilibrium(sk3),sk1(sk4,sk3)) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| constant(resources(sk3,sk1(sk4,sk3)))
| greater(equilibrium(sk3),sk1(sk4,sk3)) ),
inference(resolve,[$cnf( greater(appear(an_organisation,sk3),sk1(sk4,sk3)) )],[refute_0_29,refute_0_2]) ).
cnf(refute_0_31,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| constant(resources(sk3,sk1(sk4,sk3)))
| greater(equilibrium(sk3),sk1(sk4,sk3)) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_30]) ).
cnf(refute_0_32,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| constant(resources(sk3,sk1(sk4,sk3)))
| greater(equilibrium(sk3),sk1(sk4,sk3)) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_31]) ).
cnf(refute_0_33,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| constant(resources(sk3,sk1(sk4,sk3)))
| decreases(resources(sk3,sk1(sk4,sk3)))
| greater(appear(an_organisation,sk3),sk1(sk4,sk3)) ),
inference(resolve,[$cnf( greater(equilibrium(sk3),sk1(sk4,sk3)) )],[refute_0_32,refute_0_25]) ).
cnf(refute_0_34,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| constant(resources(sk3,sk1(sk4,sk3)))
| decreases(resources(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( greater(appear(an_organisation,sk3),sk1(sk4,sk3)) )],[refute_0_33,refute_0_2]) ).
cnf(refute_0_35,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| constant(resources(sk3,sk1(sk4,sk3)))
| decreases(resources(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_34]) ).
cnf(refute_0_36,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| constant(resources(sk3,sk1(sk4,sk3)))
| decreases(resources(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| constant(resources(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( decreases(resources(sk3,sk1(sk4,sk3))) )],[refute_0_36,refute_0_1]) ).
cnf(refute_0_38,plain,
( ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| constant(resources(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| constant(resources(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ environment(sk3)
| ~ greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(subst,[],[mp_non_decreasing_35:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_41,plain,
( ~ constant(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(subst,[],[mp_constant_not_decrease_41:[bind(A,$fot(number_of_organizations(sk3,sk1(sk4,sk3))))]]) ).
cnf(refute_0_42,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3)) ),
inference(subst,[],[mp_non_decreasing_33:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_43,plain,
( ~ environment(sk3)
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3)) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_42]) ).
cnf(refute_0_44,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3)) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero) ),
inference(subst,[],[mp_non_decreasing_34:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_46,plain,
( ~ environment(sk3)
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_45]) ).
cnf(refute_0_47,plain,
( decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ environment(X_37)
| ~ greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero)
| ~ subpopulation(sk2(sk1(sk4,sk3),sk3),X_37,sk1(sk4,sk3))
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers ),
inference(subst,[],[a9_50:[bind(A,$fot(X_37)),bind(B,$fot(sk2(sk1(sk4,sk3),sk3))),bind(C,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_49,plain,
( ~ environment(X_37)
| ~ subpopulation(sk2(sk1(sk4,sk3),sk3),X_37,sk1(sk4,sk3))
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( greater(cardinality_at_time(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3)),zero) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ environment(sk3)
| ~ subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3))
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(subst,[],[refute_0_49:[bind(X_37,$fot(sk3))]]) ).
cnf(refute_0_51,plain,
( ~ environment(sk3)
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( subpopulation(sk2(sk1(sk4,sk3),sk3),sk3,sk1(sk4,sk3)) )],[refute_0_44,refute_0_50]) ).
cnf(refute_0_52,plain,
( sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_51]) ).
cnf(refute_0_53,plain,
( ~ constant(number_of_organizations(sk3,sk1(sk4,sk3)))
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers ),
inference(resolve,[$cnf( decreases(number_of_organizations(sk3,sk1(sk4,sk3))) )],[refute_0_52,refute_0_41]) ).
cnf(refute_0_54,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers
| constant(resources(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( decreases(number_of_organizations(sk3,sk1(sk4,sk3))) )],[refute_0_52,refute_0_39]) ).
cnf(refute_0_55,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| subpopulation(efficient_producers,sk3,sk1(sk4,sk3)) ),
inference(subst,[],[mp_subpopulations_38:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_56,plain,
( ~ environment(sk3)
| subpopulation(efficient_producers,sk3,sk1(sk4,sk3)) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_55]) ).
cnf(refute_0_57,plain,
subpopulation(efficient_producers,sk3,sk1(sk4,sk3)),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_56]) ).
cnf(refute_0_58,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) != zero
| ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ subpopulation(efficient_producers,sk3,sk1(sk4,sk3))
| cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = zero ),
inference(subst,[],[mp_no_members_36:[bind(A,$fot(sk3)),bind(B,$fot(sk1(sk4,sk3))),bind(C,$fot(efficient_producers))]]) ).
cnf(refute_0_59,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) != zero
| ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = zero ),
inference(resolve,[$cnf( subpopulation(efficient_producers,sk3,sk1(sk4,sk3)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) != zero
| ~ in_environment(sk3,sk1(sk4,sk3))
| cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = zero ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_59]) ).
cnf(refute_0_61,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) != zero
| cardinality_at_time(efficient_producers,sk1(sk4,sk3)) = zero ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_60]) ).
cnf(refute_0_62,plain,
( cardinality_at_time(efficient_producers,sk1(sk4,sk3)) != zero
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) ),
inference(subst,[],[mp_empty_not_decreasing_39:[bind(A,$fot(efficient_producers)),bind(B,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_63,plain,
( cardinality_at_time(efficient_producers,sk4) != zero
| ~ environment(sk3)
| ~ greater_or_equal(sk4,appear(efficient_producers,sk3))
| greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) ),
inference(subst,[],[mp_previous_negative_growth_31:[bind(A,$fot(sk3)),bind(B,$fot(sk4))]]) ).
cnf(refute_0_64,plain,
( cardinality_at_time(efficient_producers,sk4) != zero
| ~ environment(sk3)
| greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( greater_or_equal(sk4,appear(efficient_producers,sk3)) )],[prove_t6_53,refute_0_63]) ).
cnf(refute_0_65,plain,
( zero != zero
| ~ environment(sk3)
| greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( $equal(cardinality_at_time(efficient_producers,sk4),zero) )],[refute_0_12,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ environment(sk3)
| greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_14,refute_0_65]) ).
cnf(refute_0_67,plain,
greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_66]) ).
cnf(refute_0_68,plain,
cardinality_at_time(efficient_producers,sk1(sk4,sk3)) != zero,
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) )],[refute_0_67,refute_0_62]) ).
cnf(refute_0_69,plain,
number_of_organizations(sk3,sk1(sk4,sk3)) != zero,
inference(resolve,[$cnf( $equal(cardinality_at_time(efficient_producers,sk1(sk4,sk3)),zero) )],[refute_0_61,refute_0_68]) ).
cnf(refute_0_70,plain,
( sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers
| constant(resources(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( $equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero) )],[refute_0_54,refute_0_69]) ).
cnf(refute_0_71,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers
| constant(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( constant(resources(sk3,sk1(sk4,sk3))) )],[refute_0_70,refute_0_0]) ).
cnf(refute_0_72,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers
| constant(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_71]) ).
cnf(refute_0_73,plain,
( sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers
| constant(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_72]) ).
cnf(refute_0_74,plain,
( sk2(sk1(sk4,sk3),sk3) = efficient_producers
| sk2(sk1(sk4,sk3),sk3) = first_movers ),
inference(resolve,[$cnf( constant(number_of_organizations(sk3,sk1(sk4,sk3))) )],[refute_0_73,refute_0_53]) ).
cnf(refute_0_75,plain,
( sk2(sk1(sk4,sk3),sk3) != efficient_producers
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3))) ),
introduced(tautology,[equality,[$cnf( ~ greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3))) ),[1,0],$fot(efficient_producers)]]) ).
cnf(refute_0_76,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| sk2(sk1(sk4,sk3),sk3) = first_movers
| greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3))) ),
inference(resolve,[$cnf( $equal(sk2(sk1(sk4,sk3),sk3),efficient_producers) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( ~ environment(sk3)
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| sk2(sk1(sk4,sk3),sk3) = first_movers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3))) )],[refute_0_76,refute_0_40]) ).
cnf(refute_0_78,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| sk2(sk1(sk4,sk3),sk3) = first_movers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_77]) ).
cnf(refute_0_79,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| sk2(sk1(sk4,sk3),sk3) = first_movers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) )],[refute_0_67,refute_0_78]) ).
cnf(refute_0_80,plain,
( sk2(sk1(sk4,sk3),sk3) = first_movers
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_79]) ).
cnf(refute_0_81,plain,
( ~ constant(number_of_organizations(sk3,sk1(sk4,sk3)))
| sk2(sk1(sk4,sk3),sk3) = first_movers ),
inference(resolve,[$cnf( decreases(number_of_organizations(sk3,sk1(sk4,sk3))) )],[refute_0_80,refute_0_41]) ).
cnf(refute_0_82,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| sk2(sk1(sk4,sk3),sk3) = first_movers
| constant(resources(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( decreases(number_of_organizations(sk3,sk1(sk4,sk3))) )],[refute_0_80,refute_0_39]) ).
cnf(refute_0_83,plain,
( sk2(sk1(sk4,sk3),sk3) = first_movers
| constant(resources(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( $equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero) )],[refute_0_82,refute_0_69]) ).
cnf(refute_0_84,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| sk2(sk1(sk4,sk3),sk3) = first_movers
| constant(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( constant(resources(sk3,sk1(sk4,sk3))) )],[refute_0_83,refute_0_0]) ).
cnf(refute_0_85,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| sk2(sk1(sk4,sk3),sk3) = first_movers
| constant(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_84]) ).
cnf(refute_0_86,plain,
( sk2(sk1(sk4,sk3),sk3) = first_movers
| constant(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_85]) ).
cnf(refute_0_87,plain,
sk2(sk1(sk4,sk3),sk3) = first_movers,
inference(resolve,[$cnf( constant(number_of_organizations(sk3,sk1(sk4,sk3))) )],[refute_0_86,refute_0_81]) ).
cnf(refute_0_88,plain,
( sk2(sk1(sk4,sk3),sk3) != first_movers
| ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3))) ),
introduced(tautology,[equality,[$cnf( ~ greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3))) ),[1,0],$fot(first_movers)]]) ).
cnf(refute_0_89,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3))) ),
inference(resolve,[$cnf( $equal(sk2(sk1(sk4,sk3),sk3),first_movers) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
( ~ environment(sk3)
| ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( greater(zero,growth_rate(sk2(sk1(sk4,sk3),sk3),sk1(sk4,sk3))) )],[refute_0_89,refute_0_40]) ).
cnf(refute_0_91,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_90]) ).
cnf(refute_0_92,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_91]) ).
cnf(refute_0_93,plain,
( ~ environment(X_45)
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ greater(zero,growth_rate(efficient_producers,X_46))
| ~ in_environment(X_45,X_46)
| greater(zero,growth_rate(first_movers,X_46)) ),
inference(subst,[],[a12_48:[bind(A,$fot(X_45)),bind(B,$fot(X_46)),bind(C,$fot(first_movers)),bind(D,$fot(efficient_producers))]]) ).
cnf(refute_0_94,plain,
( ~ environment(X_45)
| ~ greater(zero,growth_rate(efficient_producers,X_46))
| ~ in_environment(X_45,X_46)
| greater(zero,growth_rate(first_movers,X_46)) ),
inference(resolve,[$cnf( greater(resilience(efficient_producers),resilience(first_movers)) )],[a2_49,refute_0_93]) ).
cnf(refute_0_95,plain,
( ~ environment(X_49)
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| ~ in_environment(X_49,sk1(sk4,sk3))
| greater(zero,growth_rate(first_movers,sk1(sk4,sk3))) ),
inference(subst,[],[refute_0_94:[bind(X_45,$fot(X_49)),bind(X_46,$fot(sk1(sk4,sk3)))]]) ).
cnf(refute_0_96,plain,
( ~ environment(X_49)
| ~ in_environment(X_49,sk1(sk4,sk3))
| greater(zero,growth_rate(first_movers,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) )],[refute_0_67,refute_0_95]) ).
cnf(refute_0_97,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| greater(zero,growth_rate(first_movers,sk1(sk4,sk3))) ),
inference(subst,[],[refute_0_96:[bind(X_49,$fot(sk3))]]) ).
cnf(refute_0_98,plain,
( ~ environment(sk3)
| greater(zero,growth_rate(first_movers,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_97]) ).
cnf(refute_0_99,plain,
greater(zero,growth_rate(first_movers,sk1(sk4,sk3))),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_98]) ).
cnf(refute_0_100,plain,
decreases(number_of_organizations(sk3,sk1(sk4,sk3))),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk1(sk4,sk3))) )],[refute_0_99,refute_0_92]) ).
cnf(refute_0_101,plain,
( number_of_organizations(sk3,sk1(sk4,sk3)) = zero
| constant(resources(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( decreases(number_of_organizations(sk3,sk1(sk4,sk3))) )],[refute_0_100,refute_0_39]) ).
cnf(refute_0_102,plain,
constant(resources(sk3,sk1(sk4,sk3))),
inference(resolve,[$cnf( $equal(number_of_organizations(sk3,sk1(sk4,sk3)),zero) )],[refute_0_101,refute_0_69]) ).
cnf(refute_0_103,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| constant(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( constant(resources(sk3,sk1(sk4,sk3))) )],[refute_0_102,refute_0_0]) ).
cnf(refute_0_104,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| constant(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolve,[$cnf( environment(sk3) )],[prove_t6_51,refute_0_103]) ).
cnf(refute_0_105,plain,
constant(number_of_organizations(sk3,sk1(sk4,sk3))),
inference(resolve,[$cnf( in_environment(sk3,sk1(sk4,sk3)) )],[refute_0_16,refute_0_104]) ).
cnf(refute_0_106,plain,
~ constant(number_of_organizations(sk3,sk1(sk4,sk3))),
inference(resolve,[$cnf( decreases(number_of_organizations(sk3,sk1(sk4,sk3))) )],[refute_0_100,refute_0_41]) ).
cnf(refute_0_107,plain,
$false,
inference(resolve,[$cnf( constant(number_of_organizations(sk3,sk1(sk4,sk3))) )],[refute_0_105,refute_0_106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MGT037-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 9 08:08:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.40
%------------------------------------------------------------------------------