%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT023-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:02:09 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 17
% Syntax : Number of formulae : 123 ( 12 unt; 0 def)
% Number of atoms : 488 ( 93 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 521 ( 156 ~; 365 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 84 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_l5_33,axiom,
environment(sk5),
file('theBenchmark.p',prove_l5_33) ).
cnf(c_1,plain,
environment(sk5),
inference(clausify,[status(thm)],[prove_l5_33]) ).
fof(l1_32,axiom,
! [VAR_0,VAR_1] :
( greater(growth_rate(efficient_producers,VAR_1),growth_rate(first_movers,VAR_1))
| ~ greater_or_equal(VAR_1,sk4(VAR_0))
| ~ subpopulations(first_movers,efficient_producers,VAR_0,VAR_1)
| ~ stable(VAR_0)
| ~ environment(VAR_0) ),
file('theBenchmark.p',l1_32) ).
cnf(c_2,plain,
( greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ greater_or_equal(B,sk4(A))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ stable(A)
| ~ environment(A) ),
inference(clausify,[status(thm)],[l1_32]) ).
fof(l1_31,axiom,
! [VAR_0] :
( in_environment(VAR_0,sk4(VAR_0))
| ~ stable(VAR_0)
| ~ environment(VAR_0) ),
file('theBenchmark.p',l1_31) ).
cnf(c_3,plain,
( in_environment(A,sk4(A))
| ~ stable(A)
| ~ environment(A) ),
inference(clausify,[status(thm)],[l1_31]) ).
fof(d1_30,axiom,
! [VAR_0,VAR_1] :
( VAR_1 = critical_point(VAR_0)
| ~ greater(growth_rate(efficient_producers,sk3(VAR_1,VAR_0)),growth_rate(first_movers,sk3(VAR_1,VAR_0)))
| ~ in_environment(VAR_0,VAR_1)
| greater(growth_rate(efficient_producers,VAR_1),growth_rate(first_movers,VAR_1))
| ~ environment(VAR_0) ),
file('theBenchmark.p',d1_30) ).
cnf(c_4,plain,
( B = critical_point(A)
| ~ greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A) ),
inference(clausify,[status(thm)],[d1_30]) ).
fof(d1_29,axiom,
! [VAR_0,VAR_1] :
( VAR_1 = critical_point(VAR_0)
| greater(sk3(VAR_1,VAR_0),VAR_1)
| ~ in_environment(VAR_0,VAR_1)
| greater(growth_rate(efficient_producers,VAR_1),growth_rate(first_movers,VAR_1))
| ~ environment(VAR_0) ),
file('theBenchmark.p',d1_29) ).
cnf(c_5,plain,
( B = critical_point(A)
| greater(sk3(B,A),B)
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A) ),
inference(clausify,[status(thm)],[d1_29]) ).
fof(d1_28,axiom,
! [VAR_0,VAR_1] :
( VAR_1 = critical_point(VAR_0)
| subpopulations(first_movers,efficient_producers,VAR_0,sk3(VAR_1,VAR_0))
| ~ in_environment(VAR_0,VAR_1)
| greater(growth_rate(efficient_producers,VAR_1),growth_rate(first_movers,VAR_1))
| ~ environment(VAR_0) ),
file('theBenchmark.p',d1_28) ).
cnf(c_6,plain,
( B = critical_point(A)
| subpopulations(first_movers,efficient_producers,A,sk3(B,A))
| ~ in_environment(A,B)
| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ environment(A) ),
inference(clausify,[status(thm)],[d1_28]) ).
fof(mp_earliest_time_growth_rate_exceeds_27,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(growth_rate(efficient_producers,VAR_2),growth_rate(first_movers,VAR_2))
| ~ greater(VAR_2,sk2(VAR_0))
| ~ subpopulations(first_movers,efficient_producers,VAR_0,VAR_2)
| ~ greater(growth_rate(efficient_producers,sk1(VAR_1,VAR_0)),growth_rate(first_movers,sk1(VAR_1,VAR_0)))
| ~ in_environment(VAR_0,VAR_1)
| ~ environment(VAR_0) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_27) ).
cnf(c_7,plain,
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(clausify,[status(thm)],[mp_earliest_time_growth_rate_exceeds_27]) ).
fof(mp_earliest_time_growth_rate_exceeds_26,axiom,
! [VAR_0,VAR_1] :
( ~ greater(growth_rate(efficient_producers,sk2(VAR_0)),growth_rate(first_movers,sk2(VAR_0)))
| ~ greater(growth_rate(efficient_producers,sk1(VAR_1,VAR_0)),growth_rate(first_movers,sk1(VAR_1,VAR_0)))
| ~ in_environment(VAR_0,VAR_1)
| ~ environment(VAR_0) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_26) ).
cnf(c_8,plain,
( ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(clausify,[status(thm)],[mp_earliest_time_growth_rate_exceeds_26]) ).
fof(mp_earliest_time_growth_rate_exceeds_25,axiom,
! [VAR_0,VAR_1] :
( in_environment(VAR_0,sk2(VAR_0))
| ~ greater(growth_rate(efficient_producers,sk1(VAR_1,VAR_0)),growth_rate(first_movers,sk1(VAR_1,VAR_0)))
| ~ in_environment(VAR_0,VAR_1)
| ~ environment(VAR_0) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_25) ).
cnf(c_9,plain,
( in_environment(A,sk2(A))
| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(clausify,[status(thm)],[mp_earliest_time_growth_rate_exceeds_25]) ).
fof(mp_earliest_time_growth_rate_exceeds_24,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(growth_rate(efficient_producers,VAR_2),growth_rate(first_movers,VAR_2))
| ~ greater(VAR_2,sk2(VAR_0))
| ~ subpopulations(first_movers,efficient_producers,VAR_0,VAR_2)
| greater_or_equal(sk1(VAR_1,VAR_0),VAR_1)
| ~ in_environment(VAR_0,VAR_1)
| ~ environment(VAR_0) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_24) ).
cnf(c_10,plain,
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(clausify,[status(thm)],[mp_earliest_time_growth_rate_exceeds_24]) ).
fof(mp_earliest_time_growth_rate_exceeds_23,axiom,
! [VAR_0,VAR_1] :
( ~ greater(growth_rate(efficient_producers,sk2(VAR_0)),growth_rate(first_movers,sk2(VAR_0)))
| greater_or_equal(sk1(VAR_1,VAR_0),VAR_1)
| ~ in_environment(VAR_0,VAR_1)
| ~ environment(VAR_0) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_23) ).
cnf(c_11,plain,
( ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))
| greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(clausify,[status(thm)],[mp_earliest_time_growth_rate_exceeds_23]) ).
fof(mp_earliest_time_growth_rate_exceeds_22,axiom,
! [VAR_0,VAR_1,VAR_2] :
( greater(growth_rate(efficient_producers,VAR_2),growth_rate(first_movers,VAR_2))
| ~ greater(VAR_2,sk2(VAR_0))
| ~ subpopulations(first_movers,efficient_producers,VAR_0,VAR_2)
| subpopulations(first_movers,efficient_producers,VAR_0,sk1(VAR_1,VAR_0))
| ~ in_environment(VAR_0,VAR_1)
| ~ environment(VAR_0) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_22) ).
cnf(c_12,plain,
( greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C))
| ~ greater(C,sk2(A))
| ~ subpopulations(first_movers,efficient_producers,A,C)
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(clausify,[status(thm)],[mp_earliest_time_growth_rate_exceeds_22]) ).
fof(mp_earliest_time_growth_rate_exceeds_21,axiom,
! [VAR_0,VAR_1] :
( ~ greater(growth_rate(efficient_producers,sk2(VAR_0)),growth_rate(first_movers,sk2(VAR_0)))
| subpopulations(first_movers,efficient_producers,VAR_0,sk1(VAR_1,VAR_0))
| ~ in_environment(VAR_0,VAR_1)
| ~ environment(VAR_0) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_21) ).
cnf(c_13,plain,
( ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A)))
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(clausify,[status(thm)],[mp_earliest_time_growth_rate_exceeds_21]) ).
fof(mp_earliest_time_growth_rate_exceeds_20,axiom,
! [VAR_0,VAR_1] :
( in_environment(VAR_0,sk2(VAR_0))
| greater_or_equal(sk1(VAR_1,VAR_0),VAR_1)
| ~ in_environment(VAR_0,VAR_1)
| ~ environment(VAR_0) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_20) ).
cnf(c_14,plain,
( in_environment(A,sk2(A))
| greater_or_equal(sk1(B,A),B)
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(clausify,[status(thm)],[mp_earliest_time_growth_rate_exceeds_20]) ).
fof(mp_earliest_time_growth_rate_exceeds_19,axiom,
! [VAR_0,VAR_1] :
( in_environment(VAR_0,sk2(VAR_0))
| subpopulations(first_movers,efficient_producers,VAR_0,sk1(VAR_1,VAR_0))
| ~ in_environment(VAR_0,VAR_1)
| ~ environment(VAR_0) ),
file('theBenchmark.p',mp_earliest_time_growth_rate_exceeds_19) ).
cnf(c_15,plain,
( in_environment(A,sk2(A))
| subpopulations(first_movers,efficient_producers,A,sk1(B,A))
| ~ in_environment(A,B)
| ~ environment(A) ),
inference(clausify,[status(thm)],[mp_earliest_time_growth_rate_exceeds_19]) ).
cnf(c_16,plain,
( in_environment(sk5,sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(A,sk5))
| ~ in_environment(sk5,A) ),
inference(resolve,[status(thm)],[c_1,c_15]) ).
cnf(c_17,plain,
( in_environment(sk5,sk2(sk5))
| greater_or_equal(sk1(A,sk5),A)
| ~ in_environment(sk5,A) ),
inference(resolve,[status(thm)],[c_1,c_14]) ).
cnf(c_18,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(A,sk5))
| ~ in_environment(sk5,A) ),
inference(resolve,[status(thm)],[c_1,c_13]) ).
cnf(c_19,plain,
( greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ greater(B,sk2(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,B)
| subpopulations(first_movers,efficient_producers,sk5,sk1(A,sk5))
| ~ in_environment(sk5,A) ),
inference(resolve,[status(thm)],[c_1,c_12]) ).
cnf(c_20,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater_or_equal(sk1(A,sk5),A)
| ~ in_environment(sk5,A) ),
inference(resolve,[status(thm)],[c_1,c_11]) ).
cnf(c_21,plain,
( greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ greater(B,sk2(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,B)
| greater_or_equal(sk1(A,sk5),A)
| ~ in_environment(sk5,A) ),
inference(resolve,[status(thm)],[c_1,c_10]) ).
cnf(c_22,plain,
( in_environment(sk5,sk2(sk5))
| ~ greater(growth_rate(efficient_producers,sk1(A,sk5)),growth_rate(first_movers,sk1(A,sk5)))
| ~ in_environment(sk5,A) ),
inference(resolve,[status(thm)],[c_1,c_9]) ).
cnf(c_23,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ greater(growth_rate(efficient_producers,sk1(A,sk5)),growth_rate(first_movers,sk1(A,sk5)))
| ~ in_environment(sk5,A) ),
inference(resolve,[status(thm)],[c_1,c_8]) ).
cnf(c_24,plain,
( greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))
| ~ greater(B,sk2(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,B)
| ~ greater(growth_rate(efficient_producers,sk1(A,sk5)),growth_rate(first_movers,sk1(A,sk5)))
| ~ in_environment(sk5,A) ),
inference(resolve,[status(thm)],[c_1,c_7]) ).
cnf(c_25,plain,
( A = critical_point(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk3(A,sk5))
| ~ in_environment(sk5,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(resolve,[status(thm)],[c_1,c_6]) ).
cnf(c_26,plain,
( critical_point(sk5) = A
| subpopulations(first_movers,efficient_producers,sk5,sk3(A,sk5))
| ~ in_environment(sk5,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(copy,[status(thm)],[c_25]) ).
cnf(c_27,plain,
( A = critical_point(sk5)
| greater(sk3(A,sk5),A)
| ~ in_environment(sk5,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(resolve,[status(thm)],[c_1,c_5]) ).
cnf(c_28,plain,
( critical_point(sk5) = A
| greater(sk3(A,sk5),A)
| ~ in_environment(sk5,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(copy,[status(thm)],[c_27]) ).
cnf(c_29,plain,
( A = critical_point(sk5)
| ~ greater(growth_rate(efficient_producers,sk3(A,sk5)),growth_rate(first_movers,sk3(A,sk5)))
| ~ in_environment(sk5,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(resolve,[status(thm)],[c_1,c_4]) ).
cnf(c_30,plain,
( critical_point(sk5) = A
| ~ greater(growth_rate(efficient_producers,sk3(A,sk5)),growth_rate(first_movers,sk3(A,sk5)))
| ~ in_environment(sk5,A)
| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A)) ),
inference(copy,[status(thm)],[c_29]) ).
cnf(c_31,plain,
( in_environment(sk5,sk4(sk5))
| ~ stable(sk5) ),
inference(resolve,[status(thm)],[c_1,c_3]) ).
cnf(c_32,plain,
( greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ greater_or_equal(A,sk4(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,A)
| ~ stable(sk5) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(prove_l5_35,axiom,
~ in_environment(sk5,critical_point(sk5)),
file('theBenchmark.p',prove_l5_35) ).
cnf(c_33,plain,
~ in_environment(sk5,critical_point(sk5)),
inference(clausify,[status(thm)],[prove_l5_35]) ).
fof(prove_l5_34,axiom,
stable(sk5),
file('theBenchmark.p',prove_l5_34) ).
cnf(c_34,plain,
stable(sk5),
inference(clausify,[status(thm)],[prove_l5_34]) ).
cnf(c_35,plain,
( greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))
| ~ greater_or_equal(A,sk4(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,A) ),
inference(resolve,[status(thm)],[c_34,c_32]) ).
cnf(c_36,plain,
in_environment(sk5,sk4(sk5)),
inference(resolve,[status(thm)],[c_34,c_31]) ).
cnf(c_40,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_36,c_23]) ).
cnf(c_41,plain,
( in_environment(sk5,sk2(sk5))
| ~ greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_36,c_22]) ).
cnf(c_42,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(resolve,[status(thm)],[c_36,c_20]) ).
cnf(c_43,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(resolve,[status(thm)],[c_36,c_18]) ).
cnf(c_44,plain,
( in_environment(sk5,sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(resolve,[status(thm)],[c_36,c_17]) ).
cnf(c_45,plain,
( in_environment(sk5,sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(resolve,[status(thm)],[c_36,c_16]) ).
cnf(c_46,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(resolve,[status(thm)],[c_45,c_35]) ).
cnf(c_164,plain,
( in_environment(sk5,sk2(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(resolve,[status(thm)],[c_46,c_44]) ).
cnf(c_51,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(copy,[status(thm)],[c_164]) ).
cnf(c_52,plain,
( critical_point(sk5) = sk2(sk5)
| ~ greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_51,c_30]) ).
cnf(c_53,plain,
( critical_point(sk5) = sk2(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_51,c_28]) ).
cnf(c_54,plain,
( critical_point(sk5) = sk2(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_51,c_26]) ).
cnf(c_58,plain,
( in_environment(sk5,sk2(sk5))
| critical_point(sk5) = sk2(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_53,c_41]) ).
cnf(c_165,plain,
( critical_point(sk5) = sk2(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_58,c_28]) ).
cnf(c_166,plain,
( critical_point(sk5) = sk2(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| critical_point(sk5) = sk2(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_165]) ).
cnf(c_167,plain,
( critical_point(sk5) = sk2(sk5)
| critical_point(sk5) = sk2(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_166]) ).
cnf(c_60,plain,
( critical_point(sk5) = sk2(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_167]) ).
cnf(c_65,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater_or_equal(sk1(A,sk5),A)
| ~ in_environment(sk5,A)
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_54,c_21]) ).
cnf(c_66,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(A,sk5))
| ~ in_environment(sk5,A)
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_54,c_19]) ).
cnf(c_72,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_65,c_36]) ).
cnf(c_168,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_72,c_60]) ).
cnf(c_169,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(copy,[status(thm)],[c_168]) ).
cnf(c_75,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(copy,[status(thm)],[c_169]) ).
cnf(c_77,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_66,c_36]) ).
cnf(c_170,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_77,c_60]) ).
cnf(c_171,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(copy,[status(thm)],[c_170]) ).
cnf(c_83,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(copy,[status(thm)],[c_171]) ).
cnf(c_172,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_83,c_35]) ).
cnf(c_84,plain,
( ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(copy,[status(thm)],[c_172]) ).
cnf(c_173,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolve,[status(thm)],[c_84,c_75]) ).
cnf(c_174,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(copy,[status(thm)],[c_173]) ).
cnf(c_175,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(copy,[status(thm)],[c_174]) ).
cnf(c_176,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(copy,[status(thm)],[c_175]) ).
cnf(c_89,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(copy,[status(thm)],[c_176]) ).
cnf(c_90,plain,
( in_environment(sk5,sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_89,c_41]) ).
cnf(c_177,plain,
( critical_point(sk5) = sk2(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_90,c_26]) ).
cnf(c_178,plain,
( critical_point(sk5) = sk2(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_177]) ).
cnf(c_94,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_178]) ).
cnf(c_179,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ greater(growth_rate(efficient_producers,sk1(A,sk5)),growth_rate(first_movers,sk1(A,sk5)))
| ~ in_environment(sk5,A)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_94,c_24]) ).
cnf(c_96,plain,
( ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ greater(growth_rate(efficient_producers,sk1(A,sk5)),growth_rate(first_movers,sk1(A,sk5)))
| ~ in_environment(sk5,A)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_179]) ).
cnf(c_107,plain,
( ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_96,c_36]) ).
cnf(c_180,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_107,c_89]) ).
cnf(c_181,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_180]) ).
cnf(c_182,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_181]) ).
cnf(c_114,plain,
( ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_182]) ).
cnf(c_183,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_114,c_60]) ).
cnf(c_184,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_183]) ).
cnf(c_115,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_184]) ).
cnf(c_185,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_115,c_52]) ).
cnf(c_186,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_185]) ).
cnf(c_116,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_186]) ).
cnf(c_117,plain,
( in_environment(sk5,sk2(sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_116,c_41]) ).
cnf(c_187,plain,
( critical_point(sk5) = sk2(sk5)
| ~ greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_117,c_30]) ).
cnf(c_188,plain,
( critical_point(sk5) = sk2(sk5)
| ~ greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_187]) ).
cnf(c_121,plain,
( ~ greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_188]) ).
cnf(c_189,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolve,[status(thm)],[c_121,c_115]) ).
cnf(c_190,plain,
( critical_point(sk5) = sk2(sk5)
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_189]) ).
cnf(c_123,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(copy,[status(thm)],[c_190]) ).
cnf(c_126,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(resolve,[status(thm)],[c_123,c_43]) ).
cnf(c_127,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(resolve,[status(thm)],[c_123,c_42]) ).
cnf(c_132,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(resolve,[status(thm)],[c_126,c_35]) ).
cnf(c_191,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(resolve,[status(thm)],[c_132,c_127]) ).
cnf(c_136,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(copy,[status(thm)],[c_191]) ).
cnf(c_138,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(resolve,[status(thm)],[c_136,c_40]) ).
cnf(c_192,plain,
( critical_point(sk5) = sk2(sk5)
| critical_point(sk5) = sk2(sk5) ),
inference(resolve,[status(thm)],[c_138,c_123]) ).
cnf(c_142,plain,
critical_point(sk5) = sk2(sk5),
inference(copy,[status(thm)],[c_192]) ).
cnf(c_156,plain,
~ in_environment(sk5,sk2(sk5)),
inference(paramod,[status(thm)],[c_142,c_33]) ).
cnf(c_160,plain,
greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))),
inference(resolve,[status(thm)],[c_156,c_51]) ).
cnf(c_193,plain,
in_environment(sk5,sk2(sk5)),
inference(resolve,[status(thm)],[c_160,c_41]) ).
cnf(c_163,plain,
$false,
inference(resolve,[status(thm)],[c_156,c_193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT023-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n003.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sat Sep 26 00:06:23 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 1468742 was started by sandbox on n003,
% 0.16/0.43 % Sat Sep 26 00:06:23 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.43
% 0.16/0.43 % From the command line: assign(max_seconds, 300).
% 0.16/0.47
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.47
% 0.16/0.47 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.16/0.47 % Length of proof is 76.
% 0.16/0.47 % Level of proof is 29.
% 0.16/0.47 % Maximum clause weight is 57.000.
% 0.16/0.47 % Given clauses 94.
% 0.16/0.47
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------