TSTP Solution File: MGT025-1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT025-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 22:18:56 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 32
% Syntax : Number of clauses : 169 ( 21 unt; 68 nHn; 167 RR)
% Number of literals : 536 ( 64 equ; 253 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 94 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_only_members_28,axiom,
( ~ environment(A)
| ~ subpopulation(B,A,C)
| B != efficient_producers
| number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C)) ) ).
cnf(mp_subpopulations_30,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulation(first_movers,A,B) ) ).
cnf(mp_subpopulations_31,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| subpopulation(efficient_producers,A,B) ) ).
cnf(mp_abc_sum_increase_32,axiom,
( A != sum(B,C)
| ~ constant(A)
| constant(B)
| increases(B)
| decreases(B) ) ).
cnf(mp_abc_sum_increase_33,axiom,
( A != sum(B,C)
| ~ constant(A)
| constant(B)
| increases(B)
| increases(C) ) ).
cnf(mp_abc_sum_increase_34,axiom,
( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(C)
| decreases(B) ) ).
cnf(mp_abc_sum_increase_35,axiom,
( A != sum(B,C)
| ~ constant(A)
| constant(B)
| decreases(C)
| increases(C) ) ).
cnf(mp_abc_sum_increase_36,axiom,
( A != sum(B,C)
| ~ constant(A)
| constant(C)
| increases(B)
| decreases(B) ) ).
cnf(mp_abc_sum_increase_38,axiom,
( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(C)
| decreases(B) ) ).
cnf(mp_abc_sum_increase_39,axiom,
( A != sum(B,C)
| ~ constant(A)
| constant(C)
| decreases(C)
| increases(C) ) ).
cnf(mp_growth_rate_40,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ subpopulation(C,A,B)
| ~ greater(cardinality_at_time(C,B),zero)
| ~ constant(cardinality_at_time(C,B))
| growth_rate(C,B) = zero ) ).
cnf(mp_growth_rate_41,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ subpopulation(C,A,B)
| ~ greater(cardinality_at_time(C,B),zero)
| ~ increases(cardinality_at_time(C,B))
| greater(growth_rate(C,B),zero) ) ).
cnf(mp_growth_rate_42,axiom,
( ~ environment(A)
| ~ in_environment(A,B)
| ~ subpopulation(C,A,B)
| ~ greater(cardinality_at_time(C,B),zero)
| ~ decreases(cardinality_at_time(C,B))
| greater(zero,growth_rate(C,B)) ) ).
cnf(mp_non_zero_producers_43,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(cardinality_at_time(first_movers,B),zero) ) ).
cnf(mp_non_zero_producers_44,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| greater(cardinality_at_time(efficient_producers,B),zero) ) ).
cnf(mp_time_point_occur_45,axiom,
( ~ environment(A)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| in_environment(A,B) ) ).
cnf(prove_l7_47,negated_conjecture,
environment(sk1) ).
cnf(prove_l7_48,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2) ).
cnf(prove_l7_49,negated_conjecture,
constant(number_of_organizations(sk1,sk2)) ).
cnf(prove_l7_50,negated_conjecture,
( growth_rate(first_movers,sk2) != zero
| growth_rate(efficient_producers,sk2) != zero ) ).
cnf(prove_l7_51,negated_conjecture,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ) ).
cnf(prove_l7_52,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ) ).
cnf(refute_0_0,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| subpopulation(efficient_producers,sk1,sk2) ),
inference(subst,[],[mp_subpopulations_31:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_1,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| in_environment(sk1,sk2) ),
inference(subst,[],[mp_time_point_occur_45:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_2,plain,
( ~ environment(sk1)
| in_environment(sk1,sk2) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l7_48,refute_0_1]) ).
cnf(refute_0_3,plain,
in_environment(sk1,sk2),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ environment(sk1)
| subpopulation(efficient_producers,sk1,sk2) ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_3,refute_0_0]) ).
cnf(refute_0_5,plain,
subpopulation(efficient_producers,sk1,sk2),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater(cardinality_at_time(efficient_producers,sk2),zero) ),
inference(subst,[],[mp_non_zero_producers_44:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_7,plain,
( ~ environment(sk1)
| greater(cardinality_at_time(efficient_producers,sk2),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l7_48,refute_0_6]) ).
cnf(refute_0_8,plain,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| ~ environment(X_36)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ in_environment(X_36,sk2)
| ~ subpopulation(efficient_producers,X_36,sk2)
| growth_rate(efficient_producers,sk2) = zero ),
inference(subst,[],[mp_growth_rate_40:[bind(A,$fot(X_36)),bind(B,$fot(sk2)),bind(C,$fot(efficient_producers))]]) ).
cnf(refute_0_10,plain,
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| ~ environment(X_36)
| ~ in_environment(X_36,sk2)
| ~ subpopulation(efficient_producers,X_36,sk2)
| growth_rate(efficient_producers,sk2) = zero ),
inference(resolve,[$cnf( greater(cardinality_at_time(efficient_producers,sk2),zero) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| ~ subpopulation(efficient_producers,sk1,sk2)
| growth_rate(efficient_producers,sk2) = zero ),
inference(subst,[],[refute_0_10:[bind(X_36,$fot(sk1))]]) ).
cnf(refute_0_12,plain,
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| growth_rate(efficient_producers,sk2) = zero ),
inference(resolve,[$cnf( subpopulation(efficient_producers,sk1,sk2) )],[refute_0_5,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| ~ in_environment(sk1,sk2)
| growth_rate(efficient_producers,sk2) = zero ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| growth_rate(efficient_producers,sk2) = zero ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_3,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| subpopulation(first_movers,sk1,sk2) ),
inference(subst,[],[mp_subpopulations_30:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_16,plain,
( ~ environment(sk1)
| subpopulation(first_movers,sk1,sk2) ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_3,refute_0_15]) ).
cnf(refute_0_17,plain,
subpopulation(first_movers,sk1,sk2),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| greater(cardinality_at_time(first_movers,sk2),zero) ),
inference(subst,[],[mp_non_zero_producers_43:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_19,plain,
( ~ environment(sk1)
| greater(cardinality_at_time(first_movers,sk2),zero) ),
inference(resolve,[$cnf( subpopulations(first_movers,efficient_producers,sk1,sk2) )],[prove_l7_48,refute_0_18]) ).
cnf(refute_0_20,plain,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_19]) ).
cnf(refute_0_21,plain,
( ~ constant(cardinality_at_time(first_movers,sk2))
| ~ environment(X_36)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ in_environment(X_36,sk2)
| ~ subpopulation(first_movers,X_36,sk2)
| growth_rate(first_movers,sk2) = zero ),
inference(subst,[],[mp_growth_rate_40:[bind(A,$fot(X_36)),bind(B,$fot(sk2)),bind(C,$fot(first_movers))]]) ).
cnf(refute_0_22,plain,
( ~ constant(cardinality_at_time(first_movers,sk2))
| ~ environment(X_36)
| ~ in_environment(X_36,sk2)
| ~ subpopulation(first_movers,X_36,sk2)
| growth_rate(first_movers,sk2) = zero ),
inference(resolve,[$cnf( greater(cardinality_at_time(first_movers,sk2),zero) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( ~ constant(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| ~ subpopulation(first_movers,sk1,sk2)
| growth_rate(first_movers,sk2) = zero ),
inference(subst,[],[refute_0_22:[bind(X_36,$fot(sk1))]]) ).
cnf(refute_0_24,plain,
( ~ constant(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| growth_rate(first_movers,sk2) = zero ),
inference(resolve,[$cnf( subpopulation(first_movers,sk1,sk2) )],[refute_0_17,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ constant(cardinality_at_time(first_movers,sk2))
| ~ in_environment(sk1,sk2)
| growth_rate(first_movers,sk2) = zero ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_24]) ).
cnf(refute_0_26,plain,
( ~ constant(cardinality_at_time(first_movers,sk2))
| growth_rate(first_movers,sk2) = zero ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_3,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(X_46)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ in_environment(X_46,sk2)
| ~ subpopulation(first_movers,X_46,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subst,[],[mp_growth_rate_42:[bind(A,$fot(X_46)),bind(B,$fot(sk2)),bind(C,$fot(first_movers))]]) ).
cnf(refute_0_28,plain,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(X_46)
| ~ in_environment(X_46,sk2)
| ~ subpopulation(first_movers,X_46,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( greater(cardinality_at_time(first_movers,sk2),zero) )],[refute_0_20,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| ~ subpopulation(first_movers,sk1,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subst,[],[refute_0_28:[bind(X_46,$fot(sk1))]]) ).
cnf(refute_0_30,plain,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( subpopulation(first_movers,sk1,sk2) )],[refute_0_17,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ in_environment(sk1,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_3,refute_0_31]) ).
cnf(refute_0_33,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(B)
| decreases(B)
| increases(B) ),
inference(subst,[],[mp_abc_sum_increase_32:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_0_34,plain,
sum(B,C) = sum(B,C),
introduced(tautology,[refl,[$fot(sum(B,C))]]) ).
cnf(refute_0_35,plain,
( ~ constant(sum(B,C))
| constant(B)
| decreases(B)
| increases(B) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_0_34,refute_0_33]) ).
cnf(refute_0_36,plain,
( ~ constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))
| constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(subst,[],[refute_0_35:[bind(B,$fot(cardinality_at_time(first_movers,sk2))),bind(C,$fot(cardinality_at_time(efficient_producers,sk2)))]]) ).
cnf(refute_0_37,plain,
( efficient_producers != efficient_producers
| ~ environment(A)
| ~ subpopulation(efficient_producers,A,C)
| number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C)) ),
inference(subst,[],[mp_only_members_28:[bind(B,$fot(efficient_producers))]]) ).
cnf(refute_0_38,plain,
efficient_producers = efficient_producers,
introduced(tautology,[refl,[$fot(efficient_producers)]]) ).
cnf(refute_0_39,plain,
( ~ environment(A)
| ~ subpopulation(efficient_producers,A,C)
| number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C)) ),
inference(resolve,[$cnf( $equal(efficient_producers,efficient_producers) )],[refute_0_38,refute_0_37]) ).
cnf(refute_0_40,plain,
( ~ environment(sk1)
| ~ subpopulation(efficient_producers,sk1,sk2)
| number_of_organizations(sk1,sk2) = sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) ),
inference(subst,[],[refute_0_39:[bind(A,$fot(sk1)),bind(C,$fot(sk2))]]) ).
cnf(refute_0_41,plain,
( ~ environment(sk1)
| number_of_organizations(sk1,sk2) = sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( subpopulation(efficient_producers,sk1,sk2) )],[refute_0_5,refute_0_40]) ).
cnf(refute_0_42,plain,
number_of_organizations(sk1,sk2) = sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_41]) ).
cnf(refute_0_43,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_44,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_45,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( number_of_organizations(sk1,sk2) != sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))
| sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(number_of_organizations(sk1,sk2))),bind(Y,$fot(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))))]]) ).
cnf(refute_0_47,plain,
sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) = number_of_organizations(sk1,sk2),
inference(resolve,[$cnf( $equal(number_of_organizations(sk1,sk2),sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) )],[refute_0_42,refute_0_46]) ).
cnf(refute_0_48,plain,
( sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)) != number_of_organizations(sk1,sk2)
| ~ constant(number_of_organizations(sk1,sk2))
| constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) ),
introduced(tautology,[equality,[$cnf( ~ constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) ),[0],$fot(number_of_organizations(sk1,sk2))]]) ).
cnf(refute_0_49,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) ),
inference(resolve,[$cnf( $equal(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)),number_of_organizations(sk1,sk2)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) )],[refute_0_49,refute_0_36]) ).
cnf(refute_0_51,plain,
( constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[prove_l7_49,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ environment(X_41)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ in_environment(X_41,sk2)
| ~ increases(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,X_41,sk2)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subst,[],[mp_growth_rate_41:[bind(A,$fot(X_41)),bind(B,$fot(sk2)),bind(C,$fot(first_movers))]]) ).
cnf(refute_0_53,plain,
( ~ environment(X_41)
| ~ in_environment(X_41,sk2)
| ~ increases(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,X_41,sk2)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( greater(cardinality_at_time(first_movers,sk2),zero) )],[refute_0_20,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| ~ increases(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,sk1,sk2)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subst,[],[refute_0_53:[bind(X_41,$fot(sk1))]]) ).
cnf(refute_0_55,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| ~ increases(cardinality_at_time(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( subpopulation(first_movers,sk1,sk2) )],[refute_0_17,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ in_environment(sk1,sk2)
| ~ increases(cardinality_at_time(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_55]) ).
cnf(refute_0_57,plain,
( ~ increases(cardinality_at_time(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_3,refute_0_56]) ).
cnf(refute_0_58,plain,
( constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( increases(cardinality_at_time(first_movers,sk2)) )],[refute_0_51,refute_0_57]) ).
cnf(refute_0_59,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,sk2),zero) )],[refute_0_58,prove_l7_51]) ).
cnf(refute_0_60,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(X_46)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ in_environment(X_46,sk2)
| ~ subpopulation(efficient_producers,X_46,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subst,[],[mp_growth_rate_42:[bind(A,$fot(X_46)),bind(B,$fot(sk2)),bind(C,$fot(efficient_producers))]]) ).
cnf(refute_0_61,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(X_46)
| ~ in_environment(X_46,sk2)
| ~ subpopulation(efficient_producers,X_46,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(cardinality_at_time(efficient_producers,sk2),zero) )],[refute_0_8,refute_0_60]) ).
cnf(refute_0_62,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| ~ subpopulation(efficient_producers,sk1,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subst,[],[refute_0_61:[bind(X_46,$fot(sk1))]]) ).
cnf(refute_0_63,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( subpopulation(efficient_producers,sk1,sk2) )],[refute_0_5,refute_0_62]) ).
cnf(refute_0_64,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ in_environment(sk1,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_3,refute_0_64]) ).
cnf(refute_0_66,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(B)
| decreases(C)
| increases(C) ),
inference(subst,[],[mp_abc_sum_increase_35:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_0_67,plain,
( ~ constant(sum(B,C))
| constant(B)
| decreases(C)
| increases(C) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_0_34,refute_0_66]) ).
cnf(refute_0_68,plain,
( ~ constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))
| constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(subst,[],[refute_0_67:[bind(B,$fot(cardinality_at_time(first_movers,sk2))),bind(C,$fot(cardinality_at_time(efficient_producers,sk2)))]]) ).
cnf(refute_0_69,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) )],[refute_0_49,refute_0_68]) ).
cnf(refute_0_70,plain,
( constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[prove_l7_49,refute_0_69]) ).
cnf(refute_0_71,plain,
( ~ environment(X_41)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ in_environment(X_41,sk2)
| ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,X_41,sk2)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(subst,[],[mp_growth_rate_41:[bind(A,$fot(X_41)),bind(B,$fot(sk2)),bind(C,$fot(efficient_producers))]]) ).
cnf(refute_0_72,plain,
( ~ environment(X_41)
| ~ in_environment(X_41,sk2)
| ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,X_41,sk2)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolve,[$cnf( greater(cardinality_at_time(efficient_producers,sk2),zero) )],[refute_0_8,refute_0_71]) ).
cnf(refute_0_73,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,sk1,sk2)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(subst,[],[refute_0_72:[bind(X_41,$fot(sk1))]]) ).
cnf(refute_0_74,plain,
( ~ environment(sk1)
| ~ in_environment(sk1,sk2)
| ~ increases(cardinality_at_time(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolve,[$cnf( subpopulation(efficient_producers,sk1,sk2) )],[refute_0_5,refute_0_73]) ).
cnf(refute_0_75,plain,
( ~ in_environment(sk1,sk2)
| ~ increases(cardinality_at_time(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolve,[$cnf( environment(sk1) )],[prove_l7_47,refute_0_74]) ).
cnf(refute_0_76,plain,
( ~ increases(cardinality_at_time(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolve,[$cnf( in_environment(sk1,sk2) )],[refute_0_3,refute_0_75]) ).
cnf(refute_0_77,plain,
( constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolve,[$cnf( increases(cardinality_at_time(efficient_producers,sk2)) )],[refute_0_70,refute_0_76]) ).
cnf(refute_0_78,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2),zero) )],[refute_0_77,prove_l7_52]) ).
cnf(refute_0_79,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(B)
| decreases(B)
| decreases(C) ),
inference(subst,[],[mp_abc_sum_increase_34:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_0_80,plain,
( ~ constant(sum(B,C))
| constant(B)
| decreases(B)
| decreases(C) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_0_34,refute_0_79]) ).
cnf(refute_0_81,plain,
( ~ constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))
| constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(subst,[],[refute_0_80:[bind(B,$fot(cardinality_at_time(first_movers,sk2))),bind(C,$fot(cardinality_at_time(efficient_producers,sk2)))]]) ).
cnf(refute_0_82,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) )],[refute_0_49,refute_0_81]) ).
cnf(refute_0_83,plain,
( constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[prove_l7_49,refute_0_82]) ).
cnf(refute_0_84,plain,
( constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(first_movers,sk2)) )],[refute_0_83,refute_0_32]) ).
cnf(refute_0_85,plain,
( constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk2)) )],[refute_0_84,refute_0_78]) ).
cnf(refute_0_86,plain,
( constant(cardinality_at_time(first_movers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(efficient_producers,sk2)) )],[refute_0_85,refute_0_65]) ).
cnf(refute_0_87,plain,
( constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_86,refute_0_59]) ).
cnf(refute_0_88,plain,
( constant(cardinality_at_time(first_movers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(first_movers,sk2)) )],[refute_0_87,refute_0_32]) ).
cnf(refute_0_89,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(B)
| increases(B)
| increases(C) ),
inference(subst,[],[mp_abc_sum_increase_33:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_0_90,plain,
( ~ constant(sum(B,C))
| constant(B)
| increases(B)
| increases(C) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_0_34,refute_0_89]) ).
cnf(refute_0_91,plain,
( ~ constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))
| constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(subst,[],[refute_0_90:[bind(B,$fot(cardinality_at_time(first_movers,sk2))),bind(C,$fot(cardinality_at_time(efficient_producers,sk2)))]]) ).
cnf(refute_0_92,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) )],[refute_0_49,refute_0_91]) ).
cnf(refute_0_93,plain,
( constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[prove_l7_49,refute_0_92]) ).
cnf(refute_0_94,plain,
( constant(cardinality_at_time(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero)
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( increases(cardinality_at_time(first_movers,sk2)) )],[refute_0_93,refute_0_57]) ).
cnf(refute_0_95,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,sk2),zero) )],[refute_0_94,prove_l7_51]) ).
cnf(refute_0_96,plain,
( constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_86,refute_0_95]) ).
cnf(refute_0_97,plain,
( constant(cardinality_at_time(first_movers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolve,[$cnf( increases(cardinality_at_time(efficient_producers,sk2)) )],[refute_0_96,refute_0_76]) ).
cnf(refute_0_98,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2),zero) )],[refute_0_97,prove_l7_52]) ).
cnf(refute_0_99,plain,
constant(cardinality_at_time(first_movers,sk2)),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk2)) )],[refute_0_88,refute_0_98]) ).
cnf(refute_0_100,plain,
growth_rate(first_movers,sk2) = zero,
inference(resolve,[$cnf( constant(cardinality_at_time(first_movers,sk2)) )],[refute_0_99,refute_0_26]) ).
cnf(refute_0_101,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_102,plain,
( ~ greater(zero,zero)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,sk2),zero) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(zero,zero) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,sk2),zero) )],[refute_0_102,prove_l7_51]) ).
cnf(refute_0_104,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(C)
| decreases(C)
| increases(C) ),
inference(subst,[],[mp_abc_sum_increase_39:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_0_105,plain,
( ~ constant(sum(B,C))
| constant(C)
| decreases(C)
| increases(C) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_0_34,refute_0_104]) ).
cnf(refute_0_106,plain,
( ~ constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))
| constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(subst,[],[refute_0_105:[bind(B,$fot(cardinality_at_time(first_movers,sk2))),bind(C,$fot(cardinality_at_time(efficient_producers,sk2)))]]) ).
cnf(refute_0_107,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) )],[refute_0_49,refute_0_106]) ).
cnf(refute_0_108,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[prove_l7_49,refute_0_107]) ).
cnf(refute_0_109,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolve,[$cnf( increases(cardinality_at_time(efficient_producers,sk2)) )],[refute_0_108,refute_0_76]) ).
cnf(refute_0_110,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(growth_rate(efficient_producers,sk2),zero) )],[refute_0_109,prove_l7_52]) ).
cnf(refute_0_111,plain,
( growth_rate(first_movers,sk2) != zero
| ~ greater(zero,zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
introduced(tautology,[equality,[$cnf( ~ greater(zero,growth_rate(first_movers,sk2)) ),[1],$fot(zero)]]) ).
cnf(refute_0_112,plain,
( ~ greater(zero,zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,sk2),zero) )],[refute_0_100,refute_0_111]) ).
cnf(refute_0_113,plain,
( ~ greater(zero,zero)
| constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk2)) )],[refute_0_112,refute_0_110]) ).
cnf(refute_0_114,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_115,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| greater(zero,zero) ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,sk2),zero) )],[refute_0_100,refute_0_114]) ).
cnf(refute_0_116,plain,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| greater(zero,zero) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk2)) )],[refute_0_32,refute_0_115]) ).
cnf(refute_0_117,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(C)
| decreases(B)
| increases(B) ),
inference(subst,[],[mp_abc_sum_increase_36:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_0_118,plain,
( ~ constant(sum(B,C))
| constant(C)
| decreases(B)
| increases(B) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_0_34,refute_0_117]) ).
cnf(refute_0_119,plain,
( ~ constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))
| constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(subst,[],[refute_0_118:[bind(B,$fot(cardinality_at_time(first_movers,sk2))),bind(C,$fot(cardinality_at_time(efficient_producers,sk2)))]]) ).
cnf(refute_0_120,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) )],[refute_0_49,refute_0_119]) ).
cnf(refute_0_121,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[prove_l7_49,refute_0_120]) ).
cnf(refute_0_122,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolve,[$cnf( increases(cardinality_at_time(first_movers,sk2)) )],[refute_0_121,refute_0_57]) ).
cnf(refute_0_123,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( greater(growth_rate(first_movers,sk2),zero) )],[refute_0_122,prove_l7_51]) ).
cnf(refute_0_124,plain,
( sum(B,C) != sum(B,C)
| ~ constant(sum(B,C))
| constant(C)
| decreases(B)
| decreases(C) ),
inference(subst,[],[mp_abc_sum_increase_38:[bind(A,$fot(sum(B,C)))]]) ).
cnf(refute_0_125,plain,
( ~ constant(sum(B,C))
| constant(C)
| decreases(B)
| decreases(C) ),
inference(resolve,[$cnf( $equal(sum(B,C),sum(B,C)) )],[refute_0_34,refute_0_124]) ).
cnf(refute_0_126,plain,
( ~ constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))
| constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(subst,[],[refute_0_125:[bind(B,$fot(cardinality_at_time(first_movers,sk2))),bind(C,$fot(cardinality_at_time(efficient_producers,sk2)))]]) ).
cnf(refute_0_127,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) )],[refute_0_49,refute_0_126]) ).
cnf(refute_0_128,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2)) ),
inference(resolve,[$cnf( constant(number_of_organizations(sk1,sk2)) )],[prove_l7_49,refute_0_127]) ).
cnf(refute_0_129,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(first_movers,sk2)) )],[refute_0_128,refute_0_32]) ).
cnf(refute_0_130,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2))
| greater(zero,zero) ),
inference(resolve,[$cnf( greater(zero,growth_rate(first_movers,sk2)) )],[refute_0_129,refute_0_115]) ).
cnf(refute_0_131,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,zero) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(efficient_producers,sk2)) )],[refute_0_130,refute_0_65]) ).
cnf(refute_0_132,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| greater(zero,zero) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_131,refute_0_123]) ).
cnf(refute_0_133,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| greater(zero,zero) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(first_movers,sk2)) )],[refute_0_132,refute_0_116]) ).
cnf(refute_0_134,plain,
( growth_rate(efficient_producers,sk2) = zero
| greater(zero,zero) ),
inference(resolve,[$cnf( constant(cardinality_at_time(efficient_producers,sk2)) )],[refute_0_133,refute_0_14]) ).
cnf(refute_0_135,plain,
( growth_rate(first_movers,sk2) != zero
| zero != zero
| growth_rate(first_movers,sk2) = zero ),
introduced(tautology,[equality,[$cnf( ~ $equal(growth_rate(first_movers,sk2),zero) ),[0],$fot(zero)]]) ).
cnf(refute_0_136,plain,
( zero != zero
| growth_rate(first_movers,sk2) = zero ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,sk2),zero) )],[refute_0_100,refute_0_135]) ).
cnf(refute_0_137,plain,
( growth_rate(efficient_producers,sk2) != zero
| zero != zero ),
inference(resolve,[$cnf( $equal(growth_rate(first_movers,sk2),zero) )],[refute_0_136,prove_l7_50]) ).
cnf(refute_0_138,plain,
zero = zero,
introduced(tautology,[refl,[$fot(zero)]]) ).
cnf(refute_0_139,plain,
growth_rate(efficient_producers,sk2) != zero,
inference(resolve,[$cnf( $equal(zero,zero) )],[refute_0_138,refute_0_137]) ).
cnf(refute_0_140,plain,
greater(zero,zero),
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,sk2),zero) )],[refute_0_134,refute_0_139]) ).
cnf(refute_0_141,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(zero,zero) )],[refute_0_140,refute_0_113]) ).
cnf(refute_0_142,plain,
( constant(cardinality_at_time(efficient_producers,sk2))
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolve,[$cnf( decreases(cardinality_at_time(efficient_producers,sk2)) )],[refute_0_141,refute_0_65]) ).
cnf(refute_0_143,plain,
( ~ greater(zero,zero)
| constant(cardinality_at_time(efficient_producers,sk2)) ),
inference(resolve,[$cnf( greater(zero,growth_rate(efficient_producers,sk2)) )],[refute_0_142,refute_0_103]) ).
cnf(refute_0_144,plain,
constant(cardinality_at_time(efficient_producers,sk2)),
inference(resolve,[$cnf( greater(zero,zero) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
growth_rate(efficient_producers,sk2) = zero,
inference(resolve,[$cnf( constant(cardinality_at_time(efficient_producers,sk2)) )],[refute_0_144,refute_0_14]) ).
cnf(refute_0_146,plain,
$false,
inference(resolve,[$cnf( $equal(growth_rate(efficient_producers,sk2),zero) )],[refute_0_145,refute_0_139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : MGT025-1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jun 9 10:11:21 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.38
%------------------------------------------------------------------------------