TSTP Solution File: MGT024-1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT024-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 22:18:55 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 23
% Syntax : Number of clauses : 90 ( 15 unt; 44 nHn; 90 RR)
% Number of literals : 280 ( 55 equ; 129 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_time_point_occur_24,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ) ).
cnf(mp_positive_number_of_organizations_25,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(number_of_organizations(A,B),zero) ) ).
cnf(mp_equilibrium_26,axiom,
( ~ environment(A)
| ~ greater_or_equal(B,equilibrium(A))
| ~ greater(equilibrium(A),B) ) ).
cnf(a3_28,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ greater(number_of_organizations(A,B),zero)
| greater(equilibrium(A),B)
| constant(resources(A,B)) ) ).
cnf(a6_30,hypothesis,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ constant(resources(A,B))
| constant(number_of_organizations(A,B)) ) ).
cnf(l7_31,hypothesis,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(first_movers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(growth_rate(efficient_producers,B),zero) ) ).
cnf(l7_32,hypothesis,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(first_movers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ) ).
cnf(l7_33,hypothesis,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(first_movers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ) ).
cnf(l7_34,hypothesis,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(first_movers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(zero,growth_rate(first_movers,B)) ) ).
cnf(l7_36,hypothesis,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(efficient_producers,B) = zero
| greater(growth_rate(first_movers,B),zero)
| greater(zero,growth_rate(first_movers,B)) ) ).
cnf(l7_37,hypothesis,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ constant(number_of_organizations(A,B))
| growth_rate(efficient_producers,B) = zero
| greater(zero,growth_rate(efficient_producers,B))
| greater(growth_rate(efficient_producers,B),zero) ) ).
cnf(prove_l6_39,negated_conjecture,
environment(sk1) ).
cnf(prove_l6_40,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2) ).
cnf(prove_l6_41,negated_conjecture,
greater_or_equal(sk2,equilibrium(sk1)) ).
cnf(prove_l6_42,negated_conjecture,
( growth_rate(first_movers,sk2) != zero
| growth_rate(efficient_producers,sk2) != zero ) ).
cnf(prove_l6_43,negated_conjecture,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ) ).
cnf(prove_l6_44,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ) ).
cnf(refute_0_0,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subst,[],[l7_31:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_1,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l6_40,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ constant(resources(sk1,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| constant(number_of_organizations(sk1,sk2)) ),
inference(subst,[],[a6_30:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_3,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater(number_of_organizations(sk1,sk2),zero) ),
inference(subst,[],[mp_positive_number_of_organizations_25:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_4,plain,
( ~ environment(sk1)
| greater(number_of_organizations(sk1,sk2),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l6_40,refute_0_3]) ).
cnf(refute_0_5,plain,
greater(number_of_organizations(sk1,sk2),zero),
inference(resolve,[$cnf( environment(sk1) )],[prove_l6_39,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ environment(sk1)
| ~ greater(number_of_organizations(sk1,sk2),zero)
| ~ in_environment(sk1,sk2)
| constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2) ),
inference(subst,[],[a3_28:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_7,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2) ),
inference(resolve,[$cnf( greater(number_of_organizations(sk1,sk2),zero) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( ~ in_environment(sk1,sk2)
| constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l6_39,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| in_environment(sk1,sk2) ),
inference(subst,[],[mp_time_point_occur_24:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_10,plain,
( ~ environment(sk1)
| in_environment(sk1,sk2) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l6_40,refute_0_9]) ).
cnf(refute_0_11,plain,
in_environment(sk1,sk2),
inference(resolve,[$cnf( environment(sk1) )],[prove_l6_39,refute_0_10]) ).
cnf(refute_0_12,plain,
( constant(resources(sk1,sk2))
| greater(equilibrium(sk1),sk2) ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_11,refute_0_8]) ).
cnf(refute_0_13,plain,
( ~ environment(sk1)
| ~ greater(equilibrium(sk1),sk2)
| ~ greater_or_equal(sk2,equilibrium(sk1)) ),
inference(subst,[],[mp_equilibrium_26:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_14,plain,
( ~ environment(sk1)
| ~ greater(equilibrium(sk1),sk2) ),
inference(resolve,[$cnf( greater_or_equal(sk2,equilibrium(sk1)) )],[prove_l6_41,refute_0_13]) ).
cnf(refute_0_15,plain,
~ greater(equilibrium(sk1),sk2),
inference(resolve,[$cnf( environment(sk1) )],[prove_l6_39,refute_0_14]) ).
cnf(refute_0_16,plain,
constant(resources(sk1,sk2)),
inference(resolve,[$cnf( greater(equilibrium(sk1),sk2) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| constant(number_of_organizations(sk1,sk2)) ),
inference(resolve,[$cnf( constant(resources(sk1,sk2)) )],[refute_0_16,refute_0_2]) ).
cnf(refute_0_18,plain,
( ~ in_environment(sk1,sk2)
| constant(number_of_organizations(sk1,sk2)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l6_39,refute_0_17]) ).
cnf(refute_0_19,plain,
constant(number_of_organizations(sk1,sk2)),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_11,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[refute_0_19,refute_0_1]) ).
cnf(refute_0_21,plain,
( growth_rate(first_movers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l6_39,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,sk2),zero) )],[refute_0_21,prove_l6_43]) ).
cnf(refute_0_23,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subst,[],[l7_33:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_24,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l6_40,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[refute_0_19,refute_0_24]) ).
cnf(refute_0_26,plain,
( growth_rate(first_movers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l6_39,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| growth_rate(first_movers,sk2) = zero
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2),zero) )],[refute_0_26,prove_l6_44]) ).
cnf(refute_0_28,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| growth_rate(first_movers,sk2) = zero
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subst,[],[l7_34:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_29,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l6_40,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[refute_0_19,refute_0_29]) ).
cnf(refute_0_31,plain,
( growth_rate(first_movers,sk2) = zero
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l6_39,refute_0_30]) ).
cnf(refute_0_32,plain,
( growth_rate(first_movers,sk2) = zero
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk2)) )],[refute_0_31,refute_0_27]) ).
cnf(refute_0_33,plain,
( growth_rate(first_movers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_32,refute_0_22]) ).
cnf(refute_0_34,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| growth_rate(first_movers,sk2) = zero ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2),zero) )],[refute_0_33,prove_l6_44]) ).
cnf(refute_0_35,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subst,[],[l7_32:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_36,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l6_40,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ environment(sk1)
| growth_rate(first_movers,sk2) = zero
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[refute_0_19,refute_0_36]) ).
cnf(refute_0_38,plain,
( growth_rate(first_movers,sk2) = zero
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l6_39,refute_0_37]) ).
cnf(refute_0_39,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| growth_rate(first_movers,sk2) = zero
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,sk2),zero) )],[refute_0_38,prove_l6_43]) ).
cnf(refute_0_40,plain,
( growth_rate(first_movers,sk2) = zero
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_32,refute_0_39]) ).
cnf(refute_0_41,plain,
growth_rate(first_movers,sk2) = zero,
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk2)) )],[refute_0_40,refute_0_34]) ).
cnf(refute_0_42,plain,
( growth_rate(first_movers,sk2) != zero
| ~ greater(zero,zero)
| greater(growth_rate(first_movers,sk2),zero) ),
introduced(tautology,[equality,[$cnf( ~ greater(growth_rate(first_movers,sk2),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_43,plain,
( ~ greater(zero,zero)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,sk2),zero) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(zero,zero) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,sk2),zero) )],[refute_0_43,prove_l6_43]) ).
cnf(refute_0_45,plain,
( growth_rate(first_movers,sk2) != zero
| ~ greater(zero,zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
introduced(tautology,[equality,[$cnf( ~ greater(zero,growth_rate(first_movers,sk2)) ),[1],$fot(zero)]]) ).
cnf(refute_0_46,plain,
( ~ greater(zero,zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,sk2),zero) )],[refute_0_41,refute_0_45]) ).
cnf(refute_0_47,plain,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,zero) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk2)) )],[refute_0_46,prove_l6_44]) ).
cnf(refute_0_48,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| growth_rate(efficient_producers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subst,[],[l7_37:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_49,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l6_40,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[refute_0_19,refute_0_49]) ).
cnf(refute_0_51,plain,
( growth_rate(efficient_producers,sk2) = zero
| greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l6_39,refute_0_50]) ).
cnf(refute_0_52,plain,
( growth_rate(first_movers,sk2) != zero
| zero != zero
| growth_rate(first_movers,sk2) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(growth_rate(first_movers,sk2),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_53,plain,
( zero != zero
| growth_rate(first_movers,sk2) = zero ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,sk2),zero) )],[refute_0_41,refute_0_52]) ).
cnf(refute_0_54,plain,
( growth_rate(efficient_producers,sk2) != zero
| zero != zero ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,sk2),zero) )],[refute_0_53,prove_l6_42]) ).
cnf(refute_0_55,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_56,plain,
growth_rate(efficient_producers,sk2) != zero,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_55,refute_0_54]) ).
cnf(refute_0_57,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,sk2),zero) )],[refute_0_51,refute_0_56]) ).
cnf(refute_0_58,plain,
( ~ greater(zero,zero)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2),zero) )],[refute_0_57,refute_0_47]) ).
cnf(refute_0_59,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| growth_rate(efficient_producers,sk2) = zero
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subst,[],[l7_36:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_60,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l6_40,refute_0_59]) ).
cnf(refute_0_61,plain,
( growth_rate(first_movers,sk2) != zero
| ~ greater(growth_rate(first_movers,sk2),zero)
| greater(zero,zero) ),
introduced(tautology,[equality,[$cnf( greater(growth_rate(first_movers,sk2),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_62,plain,
( ~ greater(growth_rate(first_movers,sk2),zero)
| greater(zero,zero) ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,sk2),zero) )],[refute_0_41,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| greater(zero,growth_rate(first_movers,sk2))
| greater(zero,zero) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,sk2),zero) )],[refute_0_60,refute_0_62]) ).
cnf(refute_0_64,plain,
( growth_rate(first_movers,sk2) != zero
| ~ greater(zero,growth_rate(first_movers,sk2))
| greater(zero,zero) ),
introduced(tautology,[equality,[$cnf( greater(zero,growth_rate(first_movers,sk2)) ),[1],$fot(zero)]]) ).
cnf(refute_0_65,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| greater(zero,zero) ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,sk2),zero) )],[refute_0_41,refute_0_64]) ).
cnf(refute_0_66,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| greater(zero,zero) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk2)) )],[refute_0_63,refute_0_65]) ).
cnf(refute_0_67,plain,
( ~ environment(sk1)
| growth_rate(efficient_producers,sk2) = zero
| greater(zero,zero) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[refute_0_19,refute_0_66]) ).
cnf(refute_0_68,plain,
( growth_rate(efficient_producers,sk2) = zero
| greater(zero,zero) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l6_39,refute_0_67]) ).
cnf(refute_0_69,plain,
greater(zero,zero),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,sk2),zero) )],[refute_0_68,refute_0_56]) ).
cnf(refute_0_70,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(resolve,[$cnf( greater(zero,zero) )],[refute_0_69,refute_0_58]) ).
cnf(refute_0_71,plain,
~ greater(zero,zero),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_70,refute_0_44]) ).
cnf(refute_0_72,plain,
$false,
inference(resolve,[$cnf( greater(zero,zero) )],[refute_0_69,refute_0_71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT024-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 09:38:53 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.12/0.37
%------------------------------------------------------------------------------