%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MGT030-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 : Thu Sep 24 01:26:26 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of clauses : 70 ( 10 unt; 31 nHn; 70 RR)
% Number of literals : 240 ( 0 equ; 139 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_earliest_time_growth_rate_exceeds_1,axiom,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| in_environment(X1,sk2(X1))
| subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_1) ).
cnf(l1_10,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,sk3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_10) ).
cnf(mp_earliest_time_growth_rate_exceeds_2,axiom,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| in_environment(X1,sk2(X1))
| greater_or_equal(sk1(X2,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_2) ).
cnf(l1_11,hypothesis,
( ~ greater_or_equal(X2,sk3(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ stable(X1)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_11) ).
cnf(mp_earliest_time_growth_rate_exceeds_7,axiom,
( ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| in_environment(X1,sk2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_7) ).
cnf(prove_l12_14,negated_conjecture,
( ~ in_environment(sk4,X1)
| subpopulations(first_movers,efficient_producers,sk4,sk5(X1))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_14) ).
cnf(prove_l12_15,negated_conjecture,
( ~ in_environment(sk4,X1)
| greater(sk5(X1),X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_15) ).
cnf(mp_earliest_time_growth_rate_exceeds_4,axiom,
( ~ greater(X3,sk2(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_4) ).
cnf(prove_l12_13,negated_conjecture,
stable(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_13) ).
cnf(prove_l12_12,negated_conjecture,
environment(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_12) ).
cnf(mp_earliest_time_growth_rate_exceeds_6,axiom,
( ~ greater(X3,sk2(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| greater_or_equal(sk1(X2,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_6) ).
cnf(mp_earliest_time_growth_rate_exceeds_9,axiom,
( ~ greater(X3,sk2(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_9) ).
cnf(prove_l12_16,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk5(X1)),growth_rate(first_movers,sk5(X1)))
| ~ in_environment(sk4,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12_16) ).
cnf(mp_earliest_time_growth_rate_exceeds_3,axiom,
( ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_3) ).
cnf(mp_earliest_time_growth_rate_exceeds_5,axiom,
( ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater_or_equal(sk1(X2,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_5) ).
cnf(mp_earliest_time_growth_rate_exceeds_8,axiom,
( ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_8) ).
cnf(c_0_16,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| in_environment(X1,sk2(X1))
| subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_1]) ).
cnf(c_0_17,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,sk3(X1)) ),
inference(fof_simplification,[status(thm)],[l1_10]) ).
cnf(c_0_18,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| in_environment(X1,sk2(X1))
| greater_or_equal(sk1(X2,X1),X2) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_2]) ).
cnf(c_0_19,hypothesis,
( ~ greater_or_equal(X2,sk3(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ stable(X1)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(fof_simplification,[status(thm)],[l1_11]) ).
cnf(c_0_20,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| in_environment(X1,sk2(X1))
| subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) ),
c_0_16 ).
cnf(c_0_21,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,sk3(X1)) ),
c_0_17 ).
cnf(c_0_22,plain,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| in_environment(X1,sk2(X1))
| greater_or_equal(sk1(X2,X1),X2) ),
c_0_18 ).
cnf(c_0_23,plain,
( ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| in_environment(X1,sk2(X1)) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_7]) ).
cnf(c_0_24,hypothesis,
( ~ greater_or_equal(X2,sk3(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ stable(X1)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
c_0_19 ).
cnf(c_0_25,hypothesis,
( ~ environment(X1)
| ~ stable(X1)
| in_environment(X1,sk2(X1))
| subpopulations(first_movers,efficient_producers,X1,sk1(sk3(X1),X1)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,hypothesis,
( ~ environment(X1)
| ~ stable(X1)
| in_environment(X1,sk2(X1))
| greater_or_equal(sk1(sk3(X1),X1),sk3(X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_27,negated_conjecture,
( ~ in_environment(sk4,X1)
| subpopulations(first_movers,efficient_producers,sk4,sk5(X1))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(fof_simplification,[status(thm)],[prove_l12_14]) ).
cnf(c_0_28,plain,
( ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| in_environment(X1,sk2(X1)) ),
c_0_23 ).
cnf(c_0_29,hypothesis,
( ~ environment(X1)
| ~ stable(X1)
| in_environment(X1,sk2(X1))
| greater(growth_rate(efficient_producers,sk1(sk3(X1),X1)),growth_rate(first_movers,sk1(sk3(X1),X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,negated_conjecture,
( ~ in_environment(sk4,X1)
| greater(sk5(X1),X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(fof_simplification,[status(thm)],[prove_l12_15]) ).
cnf(c_0_31,plain,
( ~ greater(X3,sk2(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_4]) ).
cnf(c_0_32,negated_conjecture,
( ~ in_environment(sk4,X1)
| subpopulations(first_movers,efficient_producers,sk4,sk5(X1))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
c_0_27 ).
cnf(c_0_33,hypothesis,
( ~ environment(X1)
| ~ stable(X1)
| in_environment(X1,sk2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_21]) ).
cnf(c_0_34,negated_conjecture,
stable(sk4),
prove_l12_13 ).
cnf(c_0_35,negated_conjecture,
environment(sk4),
prove_l12_12 ).
cnf(c_0_36,negated_conjecture,
( ~ in_environment(sk4,X1)
| greater(sk5(X1),X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
c_0_30 ).
cnf(c_0_37,plain,
( ~ greater(X3,sk2(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| greater_or_equal(sk1(X2,X1),X2) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_6]) ).
cnf(c_0_38,plain,
( ~ greater(X3,sk2(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) ),
c_0_31 ).
cnf(c_0_39,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_40,negated_conjecture,
( greater(sk5(sk2(sk4)),sk2(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_41,plain,
( ~ greater(X3,sk2(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| greater_or_equal(sk1(X2,X1),X2) ),
c_0_37 ).
cnf(c_0_42,plain,
( ~ greater(X3,sk2(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_9]) ).
cnf(c_0_43,negated_conjecture,
( ~ in_environment(sk4,X1)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_35])]),c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( ~ in_environment(sk4,X1)
| greater_or_equal(sk1(X1,sk4),X1)
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_39]),c_0_35])]),c_0_40]) ).
cnf(c_0_45,plain,
( ~ greater(X3,sk2(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ),
c_0_42 ).
cnf(c_0_46,hypothesis,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_21]),c_0_34]),c_0_35])]) ).
cnf(c_0_47,hypothesis,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_21]),c_0_34]),c_0_35])]) ).
cnf(c_0_48,negated_conjecture,
( ~ in_environment(sk4,X1)
| ~ greater(growth_rate(efficient_producers,sk1(X1,sk4)),growth_rate(first_movers,sk1(X1,sk4)))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_39]),c_0_35])]),c_0_40]) ).
cnf(c_0_49,hypothesis,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_46]),c_0_34]),c_0_35])]),c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk5(X1)),growth_rate(first_movers,sk5(X1)))
| ~ in_environment(sk4,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(fof_simplification,[status(thm)],[prove_l12_16]) ).
cnf(c_0_51,negated_conjecture,
( ~ in_environment(sk4,sk3(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_52,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk5(X1)),growth_rate(first_movers,sk5(X1)))
| ~ in_environment(sk4,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
c_0_50 ).
cnf(c_0_53,hypothesis,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_21]),c_0_34]),c_0_35])]) ).
cnf(c_0_54,plain,
( ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_3]) ).
cnf(c_0_55,negated_conjecture,
( ~ in_environment(sk4,sk2(sk4))
| greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,plain,
( ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater_or_equal(sk1(X2,X1),X2) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_5]) ).
cnf(c_0_57,plain,
( ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) ),
c_0_54 ).
cnf(c_0_58,hypothesis,
greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_59,plain,
( ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| greater_or_equal(sk1(X2,X1),X2) ),
c_0_56 ).
cnf(c_0_60,plain,
( ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_8]) ).
cnf(c_0_61,hypothesis,
( ~ in_environment(sk4,X1)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X1,sk4)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_35])]) ).
cnf(c_0_62,hypothesis,
( ~ in_environment(sk4,X1)
| greater_or_equal(sk1(X1,sk4),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_58]),c_0_35])]) ).
cnf(c_0_63,plain,
( ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
c_0_60 ).
cnf(c_0_64,hypothesis,
subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_21]),c_0_34]),c_0_35])]) ).
cnf(c_0_65,hypothesis,
greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_21]),c_0_34]),c_0_35])]) ).
cnf(c_0_66,hypothesis,
( ~ in_environment(sk4,X1)
| ~ greater(growth_rate(efficient_producers,sk1(X1,sk4)),growth_rate(first_movers,sk1(X1,sk4))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_58]),c_0_35])]) ).
cnf(c_0_67,hypothesis,
greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_64]),c_0_34]),c_0_35])]),c_0_65])]) ).
cnf(c_0_68,hypothesis,
~ in_environment(sk4,sk3(sk4)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_69,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_21]),c_0_34]),c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT030-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:21:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41 Running first-order theorem proving
% 0.14/0.41 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.43 % Version: 3.5.1
% 0.14/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.43 % Starting sh5l with 300s (1) cores
% 0.14/0.43 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3853882 completed with status 0
% 0.14/0.43 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.43 % No SInE strategy applied
% 0.14/0.43 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.14/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.43 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.14/0.43 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.43 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.43 % G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 3853890 completed with status 0
% 0.14/0.43 % Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 0.14/0.43 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.43 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.43 % No SInE strategy applied
% 0.14/0.43 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.14/0.43 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.43 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.43 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.43 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.14/0.43 % Preprocessing time : 0.001 s
% 0.14/0.43
% 0.14/0.43 % Proof found!
% 0.14/0.43 % SZS status Unsatisfiable
% 0.14/0.43 % SZS output start CNFRefutation
% See solution above
% 0.14/0.43 % Parsed axioms : 16
% 0.14/0.43 % Removed by relevancy pruning/SinE : 0
% 0.14/0.43 % Initial clauses : 16
% 0.14/0.43 % Removed in clause preprocessing : 0
% 0.14/0.43 % Initial clauses in saturation : 16
% 0.14/0.43 % Processed clauses : 66
% 0.14/0.43 % ...of these trivial : 0
% 0.14/0.43 % ...subsumed : 6
% 0.14/0.43 % ...remaining for further processing : 60
% 0.14/0.43 % Other redundant clauses eliminated : 0
% 0.14/0.43 % Clauses deleted for lack of memory : 0
% 0.14/0.43 % Backward-subsumed : 16
% 0.14/0.43 % Backward-rewritten : 13
% 0.14/0.43 % Generated clauses : 75
% 0.14/0.43 % ...of the previous two non-redundant : 74
% 0.14/0.43 % ...aggressively subsumed : 0
% 0.14/0.43 % Contextual simplify-reflections : 7
% 0.14/0.43 % Paramodulations : 75
% 0.14/0.43 % Factorizations : 0
% 0.14/0.43 % NegExts : 0
% 0.14/0.43 % Equation resolutions : 0
% 0.14/0.43 % Disequality decompositions : 0
% 0.14/0.43 % Total rewrite steps : 103
% 0.14/0.43 % ...of those cached : 98
% 0.14/0.43 % Propositional unsat checks : 0
% 0.14/0.43 % Propositional check models : 0
% 0.14/0.43 % Propositional check unsatisfiable : 0
% 0.14/0.43 % Propositional clauses : 0
% 0.14/0.43 % Propositional clauses after purity: 0
% 0.14/0.43 % Propositional unsat core size : 0
% 0.14/0.43 % Propositional preprocessing time : 0.000
% 0.14/0.43 % Propositional encoding time : 0.000
% 0.14/0.43 % Propositional solver time : 0.000
% 0.14/0.43 % Success case prop preproc time : 0.000
% 0.14/0.43 % Success case prop encoding time : 0.000
% 0.14/0.43 % Success case prop solver time : 0.000
% 0.14/0.43 % Current number of processed clauses : 31
% 0.14/0.43 % Positive orientable unit clauses : 9
% 0.14/0.43 % Positive unorientable unit clauses: 0
% 0.14/0.43 % Negative unit clauses : 1
% 0.14/0.43 % Non-unit-clauses : 21
% 0.14/0.43 % Current number of unprocessed clauses: 6
% 0.14/0.43 % ...number of literals in the above : 20
% 0.14/0.43 % Current number of archived formulas : 0
% 0.14/0.43 % Current number of archived clauses : 29
% 0.14/0.43 % Clause-clause subsumption calls (NU) : 581
% 0.14/0.43 % Rec. Clause-clause subsumption calls : 194
% 0.14/0.43 % Non-unit clause-clause subsumptions : 29
% 0.14/0.43 % Unit Clause-clause subsumption calls : 50
% 0.14/0.43 % Rewrite failures with RHS unbound : 0
% 0.14/0.43 % BW rewrite match attempts : 23
% 0.14/0.43 % BW rewrite match successes : 2
% 0.14/0.43 % Condensation attempts : 0
% 0.14/0.43 % Condensation successes : 0
% 0.14/0.43 % Termbank termtop insertions : 3548
% 0.14/0.43 % Search garbage collected termcells : 61
% 0.14/0.43
% 0.14/0.43 % -------------------------------------------------
% 0.14/0.43 % User time : 0.003 s
% 0.14/0.43 % System time : 0.005 s
% 0.14/0.43 % Total time : 0.009 s
% 0.14/0.43 % Maximum resident set size: 3644 pages
% 0.14/0.43
% 0.14/0.43 % -------------------------------------------------
% 0.14/0.43 % User time : 0.025 s
% 0.14/0.43 % System time : 0.015 s
% 0.14/0.43 % Total time : 0.040 s
% 0.14/0.43 % Maximum resident set size: 4864 pages
% 0.14/0.43 % E exiting
%------------------------------------------------------------------------------