%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : MGT023-2 : 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 : n005.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 01:26:04 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.42s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of clauses : 77 ( 10 unt; 44 nHn; 77 RR)
% Number of literals : 284 ( 29 equ; 147 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 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 : 98 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_earliest_time_growth_rate_exceeds_19,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_19) ).
cnf(l1_31,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,sk4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_31) ).
cnf(mp_earliest_time_growth_rate_exceeds_20,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_20) ).
cnf(l1_32,hypothesis,
( ~ greater_or_equal(X2,sk4(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_32) ).
cnf(prove_l5_34,negated_conjecture,
stable(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_34) ).
cnf(prove_l5_33,negated_conjecture,
environment(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_33) ).
cnf(mp_earliest_time_growth_rate_exceeds_25,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_25) ).
cnf(d1_28,hypothesis,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| X2 = critical_point(X1)
| subpopulations(first_movers,efficient_producers,X1,sk3(X2,X1))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_28) ).
cnf(d1_29,hypothesis,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| X2 = critical_point(X1)
| greater(sk3(X2,X1),X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_29) ).
cnf(mp_earliest_time_growth_rate_exceeds_22,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_22) ).
cnf(mp_earliest_time_growth_rate_exceeds_24,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_24) ).
cnf(d1_30,hypothesis,
( ~ greater(growth_rate(efficient_producers,sk3(X2,X1)),growth_rate(first_movers,sk3(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| X2 = critical_point(X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_30) ).
cnf(mp_earliest_time_growth_rate_exceeds_27,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_27) ).
cnf(mp_earliest_time_growth_rate_exceeds_21,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_21) ).
cnf(mp_earliest_time_growth_rate_exceeds_23,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_23) ).
cnf(mp_earliest_time_growth_rate_exceeds_26,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_26) ).
cnf(prove_l5_35,negated_conjecture,
~ in_environment(sk5,critical_point(sk5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_35) ).
cnf(c_0_17,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_19]) ).
cnf(c_0_18,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,sk4(X1)) ),
inference(fof_simplification,[status(thm)],[l1_31]) ).
cnf(c_0_19,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_20]) ).
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_17 ).
cnf(c_0_21,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,sk4(X1)) ),
c_0_18 ).
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_19 ).
cnf(c_0_23,hypothesis,
( ~ greater_or_equal(X2,sk4(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_32]) ).
cnf(c_0_24,hypothesis,
( ~ environment(X1)
| ~ stable(X1)
| in_environment(X1,sk2(X1))
| subpopulations(first_movers,efficient_producers,X1,sk1(sk4(X1),X1)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,negated_conjecture,
stable(sk5),
prove_l5_34 ).
cnf(c_0_26,negated_conjecture,
environment(sk5),
prove_l5_33 ).
cnf(c_0_27,hypothesis,
( ~ environment(X1)
| ~ stable(X1)
| in_environment(X1,sk2(X1))
| greater_or_equal(sk1(sk4(X1),X1),sk4(X1)) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
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)) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_25]) ).
cnf(c_0_29,hypothesis,
( ~ greater_or_equal(X2,sk4(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_23 ).
cnf(c_0_30,negated_conjecture,
( in_environment(sk5,sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_31,negated_conjecture,
( in_environment(sk5,sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_26])]) ).
cnf(c_0_32,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_28 ).
cnf(c_0_33,negated_conjecture,
( in_environment(sk5,sk2(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_25]),c_0_26])]),c_0_31]) ).
cnf(c_0_34,hypothesis,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| X2 = critical_point(X1)
| subpopulations(first_movers,efficient_producers,X1,sk3(X2,X1))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(fof_simplification,[status(thm)],[d1_28]) ).
cnf(c_0_35,negated_conjecture,
( ~ in_environment(sk5,sk4(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_26])]) ).
cnf(c_0_36,hypothesis,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| X2 = critical_point(X1)
| greater(sk3(X2,X1),X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(fof_simplification,[status(thm)],[d1_29]) ).
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))
| subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1)) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_22]) ).
cnf(c_0_38,hypothesis,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| X2 = critical_point(X1)
| subpopulations(first_movers,efficient_producers,X1,sk3(X2,X1))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
c_0_34 ).
cnf(c_0_39,hypothesis,
in_environment(sk5,sk2(sk5)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_21]),c_0_25]),c_0_26])]) ).
cnf(c_0_40,hypothesis,
( ~ in_environment(X1,X2)
| ~ environment(X1)
| X2 = critical_point(X1)
| greater(sk3(X2,X1),X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
c_0_36 ).
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) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds_24]) ).
cnf(c_0_42,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_37 ).
cnf(c_0_43,hypothesis,
( subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_26])]) ).
cnf(c_0_44,hypothesis,
( 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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_39]),c_0_26])]) ).
cnf(c_0_45,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_41 ).
cnf(c_0_46,hypothesis,
( ~ greater(growth_rate(efficient_producers,sk3(X2,X1)),growth_rate(first_movers,sk3(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| X2 = critical_point(X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(fof_simplification,[status(thm)],[d1_30]) ).
cnf(c_0_47,hypothesis,
( ~ in_environment(sk5,X1)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X1,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) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_26])]),c_0_44]) ).
cnf(c_0_48,hypothesis,
( ~ in_environment(sk5,X1)
| greater_or_equal(sk1(X1,sk5),X1)
| 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) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_43]),c_0_26])]),c_0_44]) ).
cnf(c_0_49,hypothesis,
( ~ greater(growth_rate(efficient_producers,sk3(X2,X1)),growth_rate(first_movers,sk3(X2,X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1)
| X2 = critical_point(X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
c_0_46 ).
cnf(c_0_50,hypothesis,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_21]),c_0_25]),c_0_26])]) ).
cnf(c_0_51,hypothesis,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(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) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_21]),c_0_25]),c_0_26])]) ).
cnf(c_0_52,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_27]) ).
cnf(c_0_53,hypothesis,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_39]),c_0_26])]) ).
cnf(c_0_54,hypothesis,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_51]),c_0_39]),c_0_26])]) ).
cnf(c_0_55,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_52 ).
cnf(c_0_56,hypothesis,
( 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) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_53]),c_0_25]),c_0_26])]),c_0_54]) ).
cnf(c_0_57,hypothesis,
( ~ in_environment(sk5,sk4(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X1)
| ~ greater(X1,sk2(sk5))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_26])]) ).
cnf(c_0_58,hypothesis,
( ~ subpopulations(first_movers,efficient_producers,sk5,X1)
| ~ greater(X1,sk2(sk5))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_21]),c_0_25]),c_0_26])]) ).
cnf(c_0_59,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_21]) ).
cnf(c_0_60,hypothesis,
( 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) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_43]),c_0_44]) ).
cnf(c_0_61,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_23]) ).
cnf(c_0_62,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_59 ).
cnf(c_0_63,hypothesis,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_60]),c_0_39]),c_0_26])]) ).
cnf(c_0_64,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_61 ).
cnf(c_0_65,hypothesis,
( ~ in_environment(sk5,X1)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X1,sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_26])]) ).
cnf(c_0_66,hypothesis,
( ~ in_environment(sk5,X1)
| greater_or_equal(sk1(X1,sk5),X1)
| critical_point(sk5) = sk2(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_63]),c_0_26])]) ).
cnf(c_0_67,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_26]) ).
cnf(c_0_68,hypothesis,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_21]),c_0_25]),c_0_26])]) ).
cnf(c_0_69,hypothesis,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_21]),c_0_25]),c_0_26])]) ).
cnf(c_0_70,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_67 ).
cnf(c_0_71,hypothesis,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_68]),c_0_25]),c_0_26])]),c_0_69]) ).
cnf(c_0_72,negated_conjecture,
~ in_environment(sk5,critical_point(sk5)),
inference(fof_simplification,[status(thm)],[prove_l5_35]) ).
cnf(c_0_73,hypothesis,
( ~ in_environment(sk5,sk4(sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_26])]),c_0_63]) ).
cnf(c_0_74,negated_conjecture,
~ in_environment(sk5,critical_point(sk5)),
c_0_72 ).
cnf(c_0_75,hypothesis,
critical_point(sk5) = sk2(sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_21]),c_0_25]),c_0_26])]) ).
cnf(c_0_76,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75]),c_0_39])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.34 % Computer : n005.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8046.5625MB
% 0.11/0.34 % OS : Linux 6.8.0-71-generic
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Sep 21 01:21:33 UTC 2026
% 0.11/0.34 % CPUTime :
% 0.11/0.34 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.39 Running first-order theorem proving
% 0.16/0.39 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
% 0.16/0.42 % Version: 3.5.1
% 0.16/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42 % Starting new_bool_3 with 300s (1) cores
% 0.16/0.42 % Starting new_bool_1 with 300s (1) cores
% 0.16/0.42 % Starting sh5l with 300s (1) cores
% 0.16/0.42 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2235383 completed with status 0
% 0.16/0.42 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.42 % No SInE strategy applied
% 0.16/0.42 % Search class: FGHSF-FFMF21-SFFFFFNN
% 0.16/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.42 % Starting G-E--_208_B07----S_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.16/0.42 % Starting new_bool_3 with 136s (1) cores
% 0.16/0.42 % Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with 136s (1) cores
% 0.16/0.42 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2235388 completed with status 0
% 0.16/0.42 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.42 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.42 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.42 % No SInE strategy applied
% 0.16/0.42 % Search class: FGHSF-FFMF21-SFFFFFNN
% 0.16/0.42 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.42 % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.42 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.42 % Preprocessing time : 0.001 s
% 0.16/0.42 % Presaturation interreduction done
% 0.16/0.42
% 0.16/0.42 % Proof found!
% 0.16/0.42 % SZS status Unsatisfiable
% 0.16/0.42 % SZS output start CNFRefutation
% See solution above
% 0.16/0.42 % Parsed axioms : 17
% 0.16/0.42 % Removed by relevancy pruning/SinE : 0
% 0.16/0.42 % Initial clauses : 17
% 0.16/0.42 % Removed in clause preprocessing : 0
% 0.16/0.42 % Initial clauses in saturation : 17
% 0.16/0.42 % Processed clauses : 78
% 0.16/0.42 % ...of these trivial : 0
% 0.16/0.42 % ...subsumed : 1
% 0.16/0.42 % ...remaining for further processing : 77
% 0.16/0.42 % Other redundant clauses eliminated : 0
% 0.16/0.42 % Clauses deleted for lack of memory : 0
% 0.16/0.42 % Backward-subsumed : 19
% 0.16/0.42 % Backward-rewritten : 19
% 0.16/0.42 % Generated clauses : 61
% 0.16/0.42 % ...of the previous two non-redundant : 61
% 0.16/0.42 % ...aggressively subsumed : 0
% 0.16/0.42 % Contextual simplify-reflections : 7
% 0.16/0.42 % Paramodulations : 61
% 0.16/0.42 % Factorizations : 0
% 0.16/0.42 % NegExts : 0
% 0.16/0.42 % Equation resolutions : 0
% 0.16/0.42 % Disequality decompositions : 0
% 0.16/0.42 % Total rewrite steps : 92
% 0.16/0.42 % ...of those cached : 88
% 0.16/0.42 % Propositional unsat checks : 0
% 0.16/0.42 % Propositional check models : 0
% 0.16/0.42 % Propositional check unsatisfiable : 0
% 0.16/0.42 % Propositional clauses : 0
% 0.16/0.42 % Propositional clauses after purity: 0
% 0.16/0.42 % Propositional unsat core size : 0
% 0.16/0.42 % Propositional preprocessing time : 0.000
% 0.16/0.42 % Propositional encoding time : 0.000
% 0.16/0.42 % Propositional solver time : 0.000
% 0.16/0.42 % Success case prop preproc time : 0.000
% 0.16/0.42 % Success case prop encoding time : 0.000
% 0.16/0.42 % Success case prop solver time : 0.000
% 0.16/0.42 % Current number of processed clauses : 22
% 0.16/0.42 % Positive orientable unit clauses : 4
% 0.16/0.42 % Positive unorientable unit clauses: 0
% 0.16/0.42 % Negative unit clauses : 0
% 0.16/0.42 % Non-unit-clauses : 18
% 0.16/0.42 % Current number of unprocessed clauses: 6
% 0.16/0.42 % ...number of literals in the above : 28
% 0.16/0.42 % Current number of archived formulas : 0
% 0.16/0.42 % Current number of archived clauses : 55
% 0.16/0.42 % Clause-clause subsumption calls (NU) : 986
% 0.16/0.42 % Rec. Clause-clause subsumption calls : 117
% 0.16/0.42 % Non-unit clause-clause subsumptions : 27
% 0.16/0.42 % Unit Clause-clause subsumption calls : 28
% 0.16/0.42 % Rewrite failures with RHS unbound : 0
% 0.16/0.42 % BW rewrite match attempts : 2
% 0.16/0.42 % BW rewrite match successes : 2
% 0.16/0.42 % Condensation attempts : 0
% 0.16/0.42 % Condensation successes : 0
% 0.16/0.42 % Termbank termtop insertions : 3629
% 0.16/0.42 % Search garbage collected termcells : 64
% 0.16/0.42
% 0.16/0.42 % -------------------------------------------------
% 0.16/0.42 % User time : 0.008 s
% 0.16/0.42 % System time : 0.001 s
% 0.16/0.42 % Total time : 0.010 s
% 0.16/0.42 % Maximum resident set size: 3648 pages
% 0.16/0.42
% 0.16/0.42 % -------------------------------------------------
% 0.16/0.42 % User time : 0.029 s
% 0.16/0.42 % System time : 0.014 s
% 0.16/0.42 % Total time : 0.043 s
% 0.16/0.42 % Maximum resident set size: 4864 pages
% 0.16/0.42 % E exiting
%------------------------------------------------------------------------------