TSTP Solution File: MGT023+2 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:34:37 EDT 2023
% Result : Theorem 0.22s 0.52s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 4
% Syntax : Number of formulae : 56 ( 6 unt; 0 def)
% Number of atoms : 264 ( 28 equ)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 316 ( 108 ~; 156 |; 38 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 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 : 66 ( 0 sgn; 23 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mp_earliest_time_growth_rate_exceeds,axiom,
! [X1] :
( ( environment(X1)
& ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) )
=> ? [X2] :
( in_environment(X1,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dUVfHdZ1FF/E---3.1_22456.p',mp_earliest_time_growth_rate_exceeds) ).
fof(l1,hypothesis,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dUVfHdZ1FF/E---3.1_22456.p',l1) ).
fof(prove_l5,conjecture,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> in_environment(X1,critical_point(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.dUVfHdZ1FF/E---3.1_22456.p',prove_l5) ).
fof(d1,hypothesis,
! [X1,X2] :
( ( environment(X1)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) )
=> X2 = critical_point(X1) ),
file('/export/starexec/sandbox/tmp/tmp.dUVfHdZ1FF/E---3.1_22456.p',d1) ).
fof(c_0_4,plain,
! [X1] :
( ( environment(X1)
& ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) )
=> ? [X2] :
( in_environment(X1,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[mp_earliest_time_growth_rate_exceeds]) ).
fof(c_0_5,plain,
! [X4,X5,X8] :
( ( in_environment(X4,esk2_1(X4))
| subpopulations(first_movers,efficient_producers,X4,esk1_2(X4,X5))
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ greater(growth_rate(efficient_producers,esk2_1(X4)),growth_rate(first_movers,esk2_1(X4)))
| subpopulations(first_movers,efficient_producers,X4,esk1_2(X4,X5))
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,esk2_1(X4))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
| subpopulations(first_movers,efficient_producers,X4,esk1_2(X4,X5))
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( in_environment(X4,esk2_1(X4))
| greater_or_equal(esk1_2(X4,X5),X5)
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ greater(growth_rate(efficient_producers,esk2_1(X4)),growth_rate(first_movers,esk2_1(X4)))
| greater_or_equal(esk1_2(X4,X5),X5)
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,esk2_1(X4))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
| greater_or_equal(esk1_2(X4,X5),X5)
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( in_environment(X4,esk2_1(X4))
| ~ greater(growth_rate(efficient_producers,esk1_2(X4,X5)),growth_rate(first_movers,esk1_2(X4,X5)))
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ greater(growth_rate(efficient_producers,esk2_1(X4)),growth_rate(first_movers,esk2_1(X4)))
| ~ greater(growth_rate(efficient_producers,esk1_2(X4,X5)),growth_rate(first_movers,esk1_2(X4,X5)))
| ~ in_environment(X4,X5)
| ~ environment(X4) )
& ( ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,esk2_1(X4))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
| ~ greater(growth_rate(efficient_producers,esk1_2(X4,X5)),growth_rate(first_movers,esk1_2(X4,X5)))
| ~ in_environment(X4,X5)
| ~ environment(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
fof(c_0_6,hypothesis,
! [X12,X14] :
( ( in_environment(X12,esk4_1(X12))
| ~ environment(X12)
| ~ stable(X12) )
& ( ~ subpopulations(first_movers,efficient_producers,X12,X14)
| ~ greater_or_equal(X14,esk4_1(X12))
| greater(growth_rate(efficient_producers,X14),growth_rate(first_movers,X14))
| ~ environment(X12)
| ~ stable(X12) ) ),
inference(distribute,[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_7,negated_conjecture,
~ ! [X1] :
( ( environment(X1)
& stable(X1) )
=> in_environment(X1,critical_point(X1)) ),
inference(assume_negation,[status(cth)],[prove_l5]) ).
cnf(c_0_8,plain,
( in_environment(X1,esk2_1(X1))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,hypothesis,
( in_environment(X1,esk4_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,negated_conjecture,
( environment(esk5_0)
& stable(esk5_0)
& ~ in_environment(esk5_0,critical_point(esk5_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_11,plain,
( in_environment(X1,esk2_1(X1))
| greater_or_equal(esk1_2(X1,X2),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_12,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,esk4_1(X1)))
| in_environment(X1,esk2_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,negated_conjecture,
stable(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
environment(esk5_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,hypothesis,
( greater_or_equal(esk1_2(X1,esk4_1(X1)),esk4_1(X1))
| in_environment(X1,esk2_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_16,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,esk4_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0)))
| in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_18,negated_conjecture,
( greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0))
| in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_13]),c_0_14])]) ).
fof(c_0_19,hypothesis,
! [X1,X2] :
( ( environment(X1)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater(X3,X2) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) )
=> X2 = critical_point(X1) ),
inference(fof_simplification,[status(thm)],[d1]) ).
cnf(c_0_20,plain,
( in_environment(X1,esk2_1(X1))
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
( greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| in_environment(esk5_0,esk2_1(esk5_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_13]),c_0_14])]),c_0_18]) ).
fof(c_0_22,hypothesis,
! [X9,X10] :
( ( subpopulations(first_movers,efficient_producers,X9,esk3_2(X9,X10))
| ~ environment(X9)
| greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
| ~ in_environment(X9,X10)
| X10 = critical_point(X9) )
& ( greater(esk3_2(X9,X10),X10)
| ~ environment(X9)
| greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
| ~ in_environment(X9,X10)
| X10 = critical_point(X9) )
& ( ~ greater(growth_rate(efficient_producers,esk3_2(X9,X10)),growth_rate(first_movers,esk3_2(X9,X10)))
| ~ environment(X9)
| greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
| ~ in_environment(X9,X10)
| X10 = critical_point(X9) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_23,negated_conjecture,
( in_environment(esk5_0,esk2_1(esk5_0))
| ~ in_environment(esk5_0,esk4_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14])]) ).
cnf(c_0_24,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,esk3_2(X1,X2))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,hypothesis,
in_environment(esk5_0,esk2_1(esk5_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_9]),c_0_13]),c_0_14])]) ).
cnf(c_0_26,hypothesis,
( greater(esk3_2(X1,X2),X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X3))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk2_1(X1))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_28,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| subpopulations(first_movers,efficient_producers,esk5_0,esk3_2(esk5_0,esk2_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_14])]) ).
cnf(c_0_29,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(esk3_2(esk5_0,esk2_1(esk5_0)),esk2_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_25]),c_0_14])]) ).
cnf(c_0_30,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| greater_or_equal(esk1_2(X1,X3),X3)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk2_1(X1))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_31,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,X1))
| ~ in_environment(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_14])]),c_0_29]) ).
cnf(c_0_32,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater_or_equal(esk1_2(esk5_0,X1),X1)
| ~ in_environment(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_14])]),c_0_29]) ).
cnf(c_0_33,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 = critical_point(X1)
| ~ greater(growth_rate(efficient_producers,esk3_2(X1,X2)),growth_rate(first_movers,esk3_2(X1,X2)))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_34,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_9]),c_0_13]),c_0_14])]) ).
cnf(c_0_35,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_9]),c_0_13]),c_0_14])]) ).
cnf(c_0_36,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25]),c_0_14])]) ).
cnf(c_0_37,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_35]),c_0_25]),c_0_14])]) ).
cnf(c_0_38,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk2_1(X1))
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X3)),growth_rate(first_movers,esk1_2(X1,X3)))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_39,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_36]),c_0_13]),c_0_14])]),c_0_37]) ).
cnf(c_0_40,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,esk2_1(esk5_0))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,X1)
| ~ in_environment(esk5_0,esk4_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_14])]) ).
cnf(c_0_41,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0)))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,esk2_1(esk5_0))
| ~ subpopulations(first_movers,efficient_producers,esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_9]),c_0_13]),c_0_14])]) ).
cnf(c_0_42,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk3_2(esk5_0,esk2_1(esk5_0))),growth_rate(first_movers,esk3_2(esk5_0,esk2_1(esk5_0))))
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_28]),c_0_29]) ).
cnf(c_0_43,plain,
( subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_44,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk2_1(esk5_0)),growth_rate(first_movers,esk2_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_42]),c_0_25]),c_0_14])]) ).
cnf(c_0_45,plain,
( greater_or_equal(esk1_2(X1,X2),X2)
| ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_46,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,X1))
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_14])]) ).
cnf(c_0_47,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater_or_equal(esk1_2(esk5_0,X1),X1)
| ~ in_environment(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_44]),c_0_14])]) ).
cnf(c_0_48,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| subpopulations(first_movers,efficient_producers,esk5_0,esk1_2(esk5_0,esk4_1(esk5_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_9]),c_0_13]),c_0_14])]) ).
cnf(c_0_49,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater_or_equal(esk1_2(esk5_0,esk4_1(esk5_0)),esk4_1(esk5_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_9]),c_0_13]),c_0_14])]) ).
cnf(c_0_50,plain,
( ~ greater(growth_rate(efficient_producers,esk2_1(X1)),growth_rate(first_movers,esk2_1(X1)))
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_51,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| greater(growth_rate(efficient_producers,esk1_2(esk5_0,esk4_1(esk5_0))),growth_rate(first_movers,esk1_2(esk5_0,esk4_1(esk5_0)))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_48]),c_0_13]),c_0_14])]),c_0_49]) ).
cnf(c_0_52,hypothesis,
( critical_point(esk5_0) = esk2_1(esk5_0)
| ~ in_environment(esk5_0,esk4_1(esk5_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_14])]),c_0_44]) ).
cnf(c_0_53,negated_conjecture,
~ in_environment(esk5_0,critical_point(esk5_0)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_54,hypothesis,
critical_point(esk5_0) = esk2_1(esk5_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_9]),c_0_13]),c_0_14])]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.15 % Command : run_E %s %d THM
% 0.16/0.36 % Computer : n027.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 2400
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Oct 3 00:50:16 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.dUVfHdZ1FF/E---3.1_22456.p
% 0.22/0.52 # Version: 3.1pre001
% 0.22/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52 # Starting sh5l with 300s (1) cores
% 0.22/0.52 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 22563 completed with status 0
% 0.22/0.52 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52 # No SInE strategy applied
% 0.22/0.52 # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.22/0.52 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.52 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 811s (1) cores
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.52 # Starting new_bool_3 with 136s (1) cores
% 0.22/0.52 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S033N with 136s (1) cores
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S05BI with 136s (1) cores
% 0.22/0.52 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 22571 completed with status 0
% 0.22/0.52 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.52 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.52 # No SInE strategy applied
% 0.22/0.52 # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.22/0.52 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.52 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 811s (1) cores
% 0.22/0.52 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.52 # Preprocessing time : 0.002 s
% 0.22/0.52 # Presaturation interreduction done
% 0.22/0.52
% 0.22/0.52 # Proof found!
% 0.22/0.52 # SZS status Theorem
% 0.22/0.52 # SZS output start CNFRefutation
% See solution above
% 0.22/0.52 # Parsed axioms : 4
% 0.22/0.52 # Removed by relevancy pruning/SinE : 0
% 0.22/0.52 # Initial clauses : 17
% 0.22/0.52 # Removed in clause preprocessing : 0
% 0.22/0.52 # Initial clauses in saturation : 17
% 0.22/0.52 # Processed clauses : 78
% 0.22/0.52 # ...of these trivial : 0
% 0.22/0.52 # ...subsumed : 1
% 0.22/0.52 # ...remaining for further processing : 77
% 0.22/0.52 # Other redundant clauses eliminated : 0
% 0.22/0.52 # Clauses deleted for lack of memory : 0
% 0.22/0.52 # Backward-subsumed : 19
% 0.22/0.52 # Backward-rewritten : 19
% 0.22/0.52 # Generated clauses : 61
% 0.22/0.52 # ...of the previous two non-redundant : 61
% 0.22/0.52 # ...aggressively subsumed : 0
% 0.22/0.52 # Contextual simplify-reflections : 7
% 0.22/0.52 # Paramodulations : 61
% 0.22/0.52 # Factorizations : 0
% 0.22/0.52 # NegExts : 0
% 0.22/0.52 # Equation resolutions : 0
% 0.22/0.52 # Total rewrite steps : 92
% 0.22/0.52 # Propositional unsat checks : 0
% 0.22/0.52 # Propositional check models : 0
% 0.22/0.52 # Propositional check unsatisfiable : 0
% 0.22/0.52 # Propositional clauses : 0
% 0.22/0.52 # Propositional clauses after purity: 0
% 0.22/0.52 # Propositional unsat core size : 0
% 0.22/0.52 # Propositional preprocessing time : 0.000
% 0.22/0.52 # Propositional encoding time : 0.000
% 0.22/0.52 # Propositional solver time : 0.000
% 0.22/0.52 # Success case prop preproc time : 0.000
% 0.22/0.52 # Success case prop encoding time : 0.000
% 0.22/0.52 # Success case prop solver time : 0.000
% 0.22/0.52 # Current number of processed clauses : 22
% 0.22/0.52 # Positive orientable unit clauses : 4
% 0.22/0.52 # Positive unorientable unit clauses: 0
% 0.22/0.52 # Negative unit clauses : 0
% 0.22/0.52 # Non-unit-clauses : 18
% 0.22/0.52 # Current number of unprocessed clauses: 6
% 0.22/0.52 # ...number of literals in the above : 28
% 0.22/0.52 # Current number of archived formulas : 0
% 0.22/0.52 # Current number of archived clauses : 55
% 0.22/0.52 # Clause-clause subsumption calls (NU) : 719
% 0.22/0.52 # Rec. Clause-clause subsumption calls : 102
% 0.22/0.52 # Non-unit clause-clause subsumptions : 27
% 0.22/0.52 # Unit Clause-clause subsumption calls : 28
% 0.22/0.52 # Rewrite failures with RHS unbound : 0
% 0.22/0.52 # BW rewrite match attempts : 2
% 0.22/0.52 # BW rewrite match successes : 2
% 0.22/0.52 # Condensation attempts : 0
% 0.22/0.52 # Condensation successes : 0
% 0.22/0.52 # Termbank termtop insertions : 3887
% 0.22/0.52
% 0.22/0.52 # -------------------------------------------------
% 0.22/0.52 # User time : 0.012 s
% 0.22/0.52 # System time : 0.002 s
% 0.22/0.52 # Total time : 0.014 s
% 0.22/0.52 # Maximum resident set size: 1752 pages
% 0.22/0.52
% 0.22/0.52 # -------------------------------------------------
% 0.22/0.52 # User time : 0.050 s
% 0.22/0.52 # System time : 0.011 s
% 0.22/0.52 # Total time : 0.060 s
% 0.22/0.52 # Maximum resident set size: 1676 pages
% 0.22/0.52 % E---3.1 exiting
% 0.22/0.52 % E---3.1 exiting
%------------------------------------------------------------------------------