%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : MGT030+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 01:27:34 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 49 ( 8 unt; 0 def)
% Number of atoms : 228 ( 0 equ)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 285 ( 106 ~; 125 |; 40 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 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 : 65 ( 0 sgn 20 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_earliest_time_growth_rate_exceeds,axiom,
! [X1] :
( ( ? [X2] :
( ! [X3] :
( ( greater_or_equal(X3,X2)
& subpopulations(first_movers,efficient_producers,X1,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& in_environment(X1,X2) )
& environment(X1) )
=> ? [X2] :
( ! [X3] :
( ( greater(X3,X2)
& subpopulations(first_movers,efficient_producers,X1,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& in_environment(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
fof(l1,hypothesis,
! [X1] :
( ( stable(X1)
& environment(X1) )
=> ? [X2] :
( ! [X3] :
( ( greater_or_equal(X3,X2)
& subpopulations(first_movers,efficient_producers,X1,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& in_environment(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(prove_l12,conjecture,
! [X1] :
( ( stable(X1)
& environment(X1) )
=> ? [X2] :
( ! [X3] :
( ( greater(X3,X2)
& subpopulations(first_movers,efficient_producers,X1,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& in_environment(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12) ).
fof(c_0_3,plain,
! [X1] :
( ( ? [X2] :
( ! [X3] :
( ( greater_or_equal(X3,X2)
& subpopulations(first_movers,efficient_producers,X1,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& in_environment(X1,X2) )
& environment(X1) )
=> ? [X2] :
( ! [X3] :
( ( greater(X3,X2)
& subpopulations(first_movers,efficient_producers,X1,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& in_environment(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds]) ).
fof(c_0_4,plain,
! [X4,X5,X8] :
( ( ~ environment(X4)
| ~ in_environment(X4,X5)
| ~ greater(growth_rate(efficient_producers,esk1_2(X4,X5)),growth_rate(first_movers,esk1_2(X4,X5)))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
| ~ greater(X8,esk2_1(X4))
| ~ subpopulations(first_movers,efficient_producers,X4,X8) )
& ( ~ environment(X4)
| ~ in_environment(X4,X5)
| ~ greater(growth_rate(efficient_producers,esk1_2(X4,X5)),growth_rate(first_movers,esk1_2(X4,X5)))
| ~ greater(growth_rate(efficient_producers,esk2_1(X4)),growth_rate(first_movers,esk2_1(X4))) )
& ( ~ environment(X4)
| ~ in_environment(X4,X5)
| ~ greater(growth_rate(efficient_producers,esk1_2(X4,X5)),growth_rate(first_movers,esk1_2(X4,X5)))
| in_environment(X4,esk2_1(X4)) )
& ( ~ environment(X4)
| ~ in_environment(X4,X5)
| greater_or_equal(esk1_2(X4,X5),X5)
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
| ~ greater(X8,esk2_1(X4))
| ~ subpopulations(first_movers,efficient_producers,X4,X8) )
& ( ~ environment(X4)
| ~ in_environment(X4,X5)
| greater_or_equal(esk1_2(X4,X5),X5)
| ~ greater(growth_rate(efficient_producers,esk2_1(X4)),growth_rate(first_movers,esk2_1(X4))) )
& ( ~ environment(X4)
| ~ in_environment(X4,X5)
| greater_or_equal(esk1_2(X4,X5),X5)
| in_environment(X4,esk2_1(X4)) )
& ( ~ environment(X4)
| ~ in_environment(X4,X5)
| subpopulations(first_movers,efficient_producers,X4,esk1_2(X4,X5))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
| ~ greater(X8,esk2_1(X4))
| ~ subpopulations(first_movers,efficient_producers,X4,X8) )
& ( ~ environment(X4)
| ~ in_environment(X4,X5)
| subpopulations(first_movers,efficient_producers,X4,esk1_2(X4,X5))
| ~ greater(growth_rate(efficient_producers,esk2_1(X4)),growth_rate(first_movers,esk2_1(X4))) )
& ( ~ environment(X4)
| ~ in_environment(X4,X5)
| subpopulations(first_movers,efficient_producers,X4,esk1_2(X4,X5))
| in_environment(X4,esk2_1(X4)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])])]) ).
fof(c_0_5,hypothesis,
! [X9,X11] :
( ( ~ stable(X9)
| ~ environment(X9)
| greater(growth_rate(efficient_producers,X11),growth_rate(first_movers,X11))
| ~ greater_or_equal(X11,esk3_1(X9))
| ~ subpopulations(first_movers,efficient_producers,X9,X11) )
& ( ~ stable(X9)
| ~ environment(X9)
| in_environment(X9,esk3_1(X9)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l1])])])])])]) ).
fof(c_0_6,negated_conjecture,
~ ! [X1] :
( ( stable(X1)
& environment(X1) )
=> ? [X2] :
( ! [X3] :
( ( greater(X3,X2)
& subpopulations(first_movers,efficient_producers,X1,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& in_environment(X1,X2) ) ),
inference(assume_negation,[status(cth)],[prove_l12]) ).
cnf(c_0_7,plain,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| in_environment(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_8,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,esk3_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| greater_or_equal(esk1_2(X1,X2),X2)
| in_environment(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( stable(X1)
& environment(X1) )
=> ? [X2] :
( ! [X3] :
( ( greater(X3,X2)
& subpopulations(first_movers,efficient_producers,X1,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& in_environment(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
cnf(c_0_11,hypothesis,
( ~ stable(X1)
| ~ environment(X1)
| ~ greater_or_equal(X2,esk3_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,hypothesis,
( ~ environment(X1)
| ~ stable(X1)
| in_environment(X1,esk2_1(X1))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,esk3_1(X1))) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,hypothesis,
( ~ environment(X1)
| ~ stable(X1)
| in_environment(X1,esk2_1(X1))
| greater_or_equal(esk1_2(X1,esk3_1(X1)),esk3_1(X1)) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
fof(c_0_14,negated_conjecture,
! [X13] :
( ( greater(growth_rate(efficient_producers,X13),growth_rate(first_movers,X13))
| ~ in_environment(esk4_0,X13)
| ~ greater(growth_rate(efficient_producers,esk5_1(X13)),growth_rate(first_movers,esk5_1(X13))) )
& ( greater(growth_rate(efficient_producers,X13),growth_rate(first_movers,X13))
| ~ in_environment(esk4_0,X13)
| greater(esk5_1(X13),X13) )
& ( greater(growth_rate(efficient_producers,X13),growth_rate(first_movers,X13))
| ~ in_environment(esk4_0,X13)
| subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X13)) )
& stable(esk4_0)
& environment(esk4_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).
cnf(c_0_15,plain,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2)))
| in_environment(X1,esk2_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_16,hypothesis,
( ~ environment(X1)
| ~ stable(X1)
| in_environment(X1,esk2_1(X1))
| greater(growth_rate(efficient_producers,esk1_2(X1,esk3_1(X1))),growth_rate(first_movers,esk1_2(X1,esk3_1(X1)))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_17,negated_conjecture,
( ~ in_environment(esk4_0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,hypothesis,
( ~ environment(X1)
| ~ stable(X1)
| in_environment(X1,esk2_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_8]) ).
cnf(c_0_19,negated_conjecture,
stable(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
environment(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,negated_conjecture,
( ~ in_environment(esk4_0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| greater(esk5_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
( ~ environment(X1)
| ~ in_environment(X1,X3)
| ~ greater(X2,esk2_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X3))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_24,negated_conjecture,
( greater(esk5_1(esk2_1(esk4_0)),esk2_1(esk4_0))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_25,plain,
( ~ environment(X1)
| ~ in_environment(X1,X3)
| ~ greater(X2,esk2_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| greater_or_equal(esk1_2(X1,X3),X3)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_26,negated_conjecture,
( ~ in_environment(esk4_0,X1)
| subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_20])]),c_0_24]) ).
cnf(c_0_27,negated_conjecture,
( ~ in_environment(esk4_0,X1)
| greater_or_equal(esk1_2(esk4_0,X1),X1)
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_20])]),c_0_24]) ).
cnf(c_0_28,plain,
( ~ environment(X1)
| ~ in_environment(X1,X3)
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X3)),growth_rate(first_movers,esk1_2(X1,X3)))
| ~ greater(X2,esk2_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_29,hypothesis,
( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0)))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_8]),c_0_19]),c_0_20])]) ).
cnf(c_0_30,hypothesis,
( greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_8]),c_0_19]),c_0_20])]) ).
cnf(c_0_31,negated_conjecture,
( ~ in_environment(esk4_0,X1)
| ~ greater(growth_rate(efficient_producers,esk1_2(esk4_0,X1)),growth_rate(first_movers,esk1_2(esk4_0,X1)))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_23]),c_0_20])]),c_0_24]) ).
cnf(c_0_32,hypothesis,
( greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_29]),c_0_19]),c_0_20])]),c_0_30]) ).
cnf(c_0_33,negated_conjecture,
( ~ in_environment(esk4_0,esk3_1(esk4_0))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
( ~ in_environment(esk4_0,X1)
| ~ greater(growth_rate(efficient_producers,esk5_1(X1)),growth_rate(first_movers,esk5_1(X1)))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_35,hypothesis,
( greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0)))
| greater(growth_rate(efficient_producers,esk5_1(esk2_1(esk4_0))),growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_8]),c_0_19]),c_0_20])]) ).
cnf(c_0_36,negated_conjecture,
( ~ in_environment(esk4_0,esk2_1(esk4_0))
| greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0))) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,plain,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_38,hypothesis,
greater(growth_rate(efficient_producers,esk2_1(esk4_0)),growth_rate(first_movers,esk2_1(esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_18]),c_0_19]),c_0_20])]) ).
cnf(c_0_39,plain,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| greater_or_equal(esk1_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_40,hypothesis,
( ~ in_environment(esk4_0,X1)
| subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_20])]) ).
cnf(c_0_41,hypothesis,
( ~ in_environment(esk4_0,X1)
| greater_or_equal(esk1_2(esk4_0,X1),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_38]),c_0_20])]) ).
cnf(c_0_42,plain,
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2)))
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_43,hypothesis,
subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_8]),c_0_19]),c_0_20])]) ).
cnf(c_0_44,hypothesis,
greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_8]),c_0_19]),c_0_20])]) ).
cnf(c_0_45,hypothesis,
( ~ in_environment(esk4_0,X1)
| ~ greater(growth_rate(efficient_producers,esk1_2(esk4_0,X1)),growth_rate(first_movers,esk1_2(esk4_0,X1))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_38]),c_0_20])]) ).
cnf(c_0_46,hypothesis,
greater(growth_rate(efficient_producers,esk1_2(esk4_0,esk3_1(esk4_0))),growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0)))),
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_11,c_0_43]),c_0_19]),c_0_20])]),c_0_44])]) ).
cnf(c_0_47,hypothesis,
~ in_environment(esk4_0,esk3_1(esk4_0)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_48,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_8]),c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT030+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 01:25:22 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 0.12/0.45 % Version: 3.5.1
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.12/0.45 % Starting sh5l with 300s (1) cores
% 0.12/0.45 % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 254115 completed with status 0
% 0.12/0.45 % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45 % No SInE strategy applied
% 0.12/0.45 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.12/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.45 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.12/0.45 % Starting new_bool_3 with 136s (1) cores
% 0.12/0.45 % Starting new_bool_1 with 136s (1) cores
% 0.12/0.45 % G-E--_200_B02_F1_SE_CS_SP_PI_S2k with pid 254124 completed with status 0
% 0.12/0.45 % Result found by G-E--_200_B02_F1_SE_CS_SP_PI_S2k
% 0.12/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.12/0.45 % No SInE strategy applied
% 0.12/0.45 % Search class: FGHNF-FFMF21-SFFFFFNN
% 0.12/0.45 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.12/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.12/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.12/0.45 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.12/0.45 % Preprocessing time : 0.001 s
% 0.12/0.45
% 0.12/0.45 % Proof found!
% 0.12/0.45 % SZS status Theorem
% 0.12/0.45 % SZS output start CNFRefutation
% See solution above
% 0.12/0.45 % Parsed axioms : 3
% 0.12/0.45 % Removed by relevancy pruning/SinE : 0
% 0.12/0.45 % Initial clauses : 16
% 0.12/0.45 % Removed in clause preprocessing : 0
% 0.12/0.45 % Initial clauses in saturation : 16
% 0.12/0.45 % Processed clauses : 65
% 0.12/0.45 % ...of these trivial : 1
% 0.12/0.45 % ...subsumed : 4
% 0.12/0.45 % ...remaining for further processing : 60
% 0.12/0.45 % Other redundant clauses eliminated : 0
% 0.12/0.45 % Clauses deleted for lack of memory : 0
% 0.12/0.45 % Backward-subsumed : 17
% 0.12/0.45 % Backward-rewritten : 13
% 0.12/0.45 % Generated clauses : 76
% 0.12/0.45 % ...of the previous two non-redundant : 75
% 0.12/0.45 % ...aggressively subsumed : 0
% 0.12/0.45 % Contextual simplify-reflections : 7
% 0.12/0.45 % Paramodulations : 76
% 0.12/0.45 % Factorizations : 0
% 0.12/0.45 % NegExts : 0
% 0.12/0.45 % Equation resolutions : 0
% 0.12/0.45 % Disequality decompositions : 0
% 0.12/0.45 % Total rewrite steps : 106
% 0.12/0.45 % ...of those cached : 100
% 0.12/0.45 % Propositional unsat checks : 0
% 0.12/0.45 % Propositional check models : 0
% 0.12/0.45 % Propositional check unsatisfiable : 0
% 0.12/0.45 % Propositional clauses : 0
% 0.12/0.45 % Propositional clauses after purity: 0
% 0.12/0.45 % Propositional unsat core size : 0
% 0.12/0.45 % Propositional preprocessing time : 0.000
% 0.12/0.45 % Propositional encoding time : 0.000
% 0.12/0.45 % Propositional solver time : 0.000
% 0.12/0.45 % Success case prop preproc time : 0.000
% 0.12/0.45 % Success case prop encoding time : 0.000
% 0.12/0.45 % Success case prop solver time : 0.000
% 0.12/0.45 % Current number of processed clauses : 30
% 0.12/0.45 % Positive orientable unit clauses : 8
% 0.12/0.45 % Positive unorientable unit clauses: 0
% 0.12/0.45 % Negative unit clauses : 1
% 0.12/0.45 % Non-unit-clauses : 21
% 0.12/0.45 % Current number of unprocessed clauses: 8
% 0.12/0.45 % ...number of literals in the above : 24
% 0.12/0.45 % Current number of archived formulas : 0
% 0.12/0.45 % Current number of archived clauses : 30
% 0.12/0.45 % Clause-clause subsumption calls (NU) : 578
% 0.12/0.45 % Rec. Clause-clause subsumption calls : 193
% 0.12/0.45 % Non-unit clause-clause subsumptions : 27
% 0.12/0.45 % Unit Clause-clause subsumption calls : 48
% 0.12/0.45 % Rewrite failures with RHS unbound : 0
% 0.12/0.45 % BW rewrite match attempts : 19
% 0.12/0.45 % BW rewrite match successes : 2
% 0.12/0.45 % Condensation attempts : 0
% 0.12/0.45 % Condensation successes : 0
% 0.12/0.45 % Termbank termtop insertions : 3951
% 0.12/0.45 % Search garbage collected termcells : 291
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.007 s
% 0.12/0.45 % System time : 0.003 s
% 0.12/0.45 % Total time : 0.010 s
% 0.12/0.45 % Maximum resident set size: 3632 pages
% 0.12/0.45
% 0.12/0.45 % -------------------------------------------------
% 0.12/0.45 % User time : 0.026 s
% 0.12/0.45 % System time : 0.014 s
% 0.12/0.45 % Total time : 0.040 s
% 0.12/0.45 % Maximum resident set size: 4864 pages
% 0.12/0.45 % E exiting
%------------------------------------------------------------------------------