%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : MGT023-2 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:47:09 PM UTC 2026
% Result : Unsatisfiable 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of clauses : 63 ( 14 unt; 31 nHn; 63 RR)
% Number of literals : 208 ( 22 equ; 104 neg)
% Maximal clause size : 6 ( 3 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 : 66 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(l1_31,hypothesis,
( in_environment(X1,sk4(X1))
| ~ environment(X1)
| ~ stable(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_31) ).
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(l1_32,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X1)
| ~ stable(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,sk4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_32) ).
cnf(mp_earliest_time_growth_rate_exceeds_20,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_20) ).
cnf(mp_earliest_time_growth_rate_exceeds_19,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_19) ).
cnf(mp_earliest_time_growth_rate_exceeds_23,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_23) ).
cnf(mp_earliest_time_growth_rate_exceeds_26,axiom,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_26) ).
cnf(mp_earliest_time_growth_rate_exceeds_21,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_21) ).
cnf(mp_earliest_time_growth_rate_exceeds_25,axiom,
( in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_25) ).
cnf(d1_29,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| greater(sk3(X2,X1),X2)
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_29) ).
cnf(d1_28,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| subpopulations(first_movers,efficient_producers,X1,sk3(X2,X1))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_28) ).
cnf(mp_earliest_time_growth_rate_exceeds_24,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_24) ).
cnf(mp_earliest_time_growth_rate_exceeds_22,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_22) ).
cnf(mp_earliest_time_growth_rate_exceeds_27,axiom,
( greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_27) ).
cnf(d1_30,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk3(X2,X1)),growth_rate(first_movers,sk3(X2,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_30) ).
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,hypothesis,
( in_environment(X1,sk4(X1))
| ~ environment(X1)
| ~ stable(X1) ),
l1_31 ).
cnf(c_0_18,negated_conjecture,
stable(sk5),
prove_l5_34 ).
cnf(c_0_19,negated_conjecture,
environment(sk5),
prove_l5_33 ).
cnf(c_0_20,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X1)
| ~ stable(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,sk4(X1)) ),
l1_32 ).
cnf(c_0_21,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_earliest_time_growth_rate_exceeds_20 ).
cnf(c_0_22,negated_conjecture,
in_environment(sk5,sk4(sk5)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_23,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
mp_earliest_time_growth_rate_exceeds_19 ).
cnf(c_0_24,negated_conjecture,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,sk4(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_18]),c_0_19])]) ).
cnf(c_0_25,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
mp_earliest_time_growth_rate_exceeds_23 ).
cnf(c_0_26,axiom,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
mp_earliest_time_growth_rate_exceeds_26 ).
cnf(c_0_27,negated_conjecture,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_19])]) ).
cnf(c_0_28,negated_conjecture,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_22]),c_0_19])]) ).
cnf(c_0_29,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),X1))
| ~ in_environment(X1,sk4(sk5))
| ~ environment(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
cnf(c_0_30,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk2(X1)),growth_rate(first_movers,sk2(X1))) ),
mp_earliest_time_growth_rate_exceeds_21 ).
cnf(c_0_31,axiom,
( in_environment(X1,sk2(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1))) ),
mp_earliest_time_growth_rate_exceeds_25 ).
cnf(c_0_32,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| greater(sk3(X2,X1),X2)
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
d1_29 ).
cnf(c_0_33,negated_conjecture,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_27]),c_0_28]) ).
cnf(c_0_34,negated_conjecture,
~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_22]),c_0_19])]) ).
cnf(c_0_35,negated_conjecture,
( in_environment(sk5,sk2(sk5))
| ~ greater(growth_rate(efficient_producers,sk1(X1,sk5)),growth_rate(first_movers,sk1(X1,sk5)))
| ~ in_environment(sk5,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_19]) ).
cnf(c_0_36,hypothesis,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_19])]),c_0_34]) ).
cnf(c_0_37,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| subpopulations(first_movers,efficient_producers,X1,sk3(X2,X1))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
d1_28 ).
cnf(c_0_38,negated_conjecture,
( critical_point(sk5) = sk2(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_22])]) ).
cnf(c_0_39,axiom,
( greater_or_equal(sk1(X2,X1),X2)
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
mp_earliest_time_growth_rate_exceeds_24 ).
cnf(c_0_40,negated_conjecture,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_33]),c_0_19])]),c_0_34]) ).
cnf(c_0_41,hypothesis,
( critical_point(sk5) = sk2(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_38]),c_0_19])]),c_0_34]) ).
cnf(c_0_42,negated_conjecture,
( critical_point(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)))
| greater_or_equal(sk1(X1,sk5),X1)
| ~ in_environment(sk5,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_19])]),c_0_41]) ).
cnf(c_0_43,axiom,
( subpopulations(first_movers,efficient_producers,X1,sk1(X2,X1))
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
mp_earliest_time_growth_rate_exceeds_22 ).
cnf(c_0_44,negated_conjecture,
( 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,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(spm,[status(thm)],[c_0_42,c_0_22]) ).
cnf(c_0_45,negated_conjecture,
( critical_point(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)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(X1,sk5))
| ~ in_environment(sk5,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_19])]),c_0_41]) ).
cnf(c_0_46,negated_conjecture,
( 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,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(spm,[status(thm)],[c_0_24,c_0_44]) ).
cnf(c_0_47,negated_conjecture,
( 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,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_22]),c_0_46]) ).
cnf(c_0_48,negated_conjecture,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_47]),c_0_22])]) ).
cnf(c_0_49,axiom,
( greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk1(X2,X1)),growth_rate(first_movers,sk1(X2,X1)))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater(X3,sk2(X1)) ),
mp_earliest_time_growth_rate_exceeds_27 ).
cnf(c_0_50,hypothesis,
( 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,sk3(sk2(sk5),sk5)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_48]),c_0_19])]),c_0_34]) ).
cnf(c_0_51,hypothesis,
( 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,sk1(X1,sk5)),growth_rate(first_movers,sk1(X1,sk5)))
| ~ in_environment(sk5,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_19])]),c_0_41]) ).
cnf(c_0_52,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,sk3(X2,X1)),growth_rate(first_movers,sk3(X2,X1))) ),
d1_30 ).
cnf(c_0_53,negated_conjecture,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_47]),c_0_22])]) ).
cnf(c_0_54,hypothesis,
( critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,sk2(sk5)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_19])]),c_0_34]) ).
cnf(c_0_55,negated_conjecture,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(spm,[status(thm)],[c_0_54,c_0_33]) ).
cnf(c_0_56,negated_conjecture,
~ in_environment(sk5,critical_point(sk5)),
prove_l5_35 ).
cnf(c_0_57,negated_conjecture,
critical_point(sk5) = sk2(sk5),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_55]),c_0_22])]),c_0_54]) ).
cnf(c_0_58,negated_conjecture,
~ in_environment(sk5,sk2(sk5)),
inference(rw,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_59,negated_conjecture,
greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)),
inference(sr,[status(thm)],[c_0_27,c_0_58]) ).
cnf(c_0_60,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)),
inference(sr,[status(thm)],[c_0_28,c_0_58]) ).
cnf(c_0_61,negated_conjecture,
greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_59]),c_0_60])]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_61]),c_0_22])]),c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : MGT023-2 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n018.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Mon May 4 23:27:17 EDT 2026
% 0.15/0.32 % CPUTime :
% 0.15/0.33 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.374s
%------------------------------------------------------------------------------