TSTP Solution File: MGT023+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---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 : n010.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 18:36:03 EDT 2023
% Result : Theorem 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 4
% Syntax : Number of formulae : 73 ( 9 unt; 0 def)
% Number of atoms : 321 ( 46 equ)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 365 ( 117 ~; 196 |; 38 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 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 : 67 ( 0 sgn; 23 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_l5,conjecture,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> in_environment(X1,critical_point(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.TlALEjZDdW/E---3.1_26317.p',prove_l5) ).
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.TlALEjZDdW/E---3.1_26317.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.TlALEjZDdW/E---3.1_26317.p',l1) ).
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.TlALEjZDdW/E---3.1_26317.p',d1) ).
fof(c_0_4,negated_conjecture,
~ ! [X1] :
( ( environment(X1)
& stable(X1) )
=> in_environment(X1,critical_point(X1)) ),
inference(assume_negation,[status(cth)],[prove_l5]) ).
fof(c_0_5,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_6,hypothesis,
! [X7,X9] :
( ( in_environment(X7,esk2_1(X7))
| ~ environment(X7)
| ~ stable(X7) )
& ( ~ subpopulations(first_movers,efficient_producers,X7,X9)
| ~ greater_or_equal(X9,esk2_1(X7))
| greater(growth_rate(efficient_producers,X9),growth_rate(first_movers,X9))
| ~ environment(X7)
| ~ stable(X7) ) ),
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,
( environment(esk3_0)
& stable(esk3_0)
& ~ in_environment(esk3_0,critical_point(esk3_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_8,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]) ).
fof(c_0_9,plain,
! [X11,X12,X15] :
( ( in_environment(X11,esk5_1(X11))
| subpopulations(first_movers,efficient_producers,X11,esk4_2(X11,X12))
| ~ in_environment(X11,X12)
| ~ environment(X11) )
& ( ~ greater(growth_rate(efficient_producers,esk5_1(X11)),growth_rate(first_movers,esk5_1(X11)))
| subpopulations(first_movers,efficient_producers,X11,esk4_2(X11,X12))
| ~ in_environment(X11,X12)
| ~ environment(X11) )
& ( ~ subpopulations(first_movers,efficient_producers,X11,X15)
| ~ greater(X15,esk5_1(X11))
| greater(growth_rate(efficient_producers,X15),growth_rate(first_movers,X15))
| subpopulations(first_movers,efficient_producers,X11,esk4_2(X11,X12))
| ~ in_environment(X11,X12)
| ~ environment(X11) )
& ( in_environment(X11,esk5_1(X11))
| greater_or_equal(esk4_2(X11,X12),X12)
| ~ in_environment(X11,X12)
| ~ environment(X11) )
& ( ~ greater(growth_rate(efficient_producers,esk5_1(X11)),growth_rate(first_movers,esk5_1(X11)))
| greater_or_equal(esk4_2(X11,X12),X12)
| ~ in_environment(X11,X12)
| ~ environment(X11) )
& ( ~ subpopulations(first_movers,efficient_producers,X11,X15)
| ~ greater(X15,esk5_1(X11))
| greater(growth_rate(efficient_producers,X15),growth_rate(first_movers,X15))
| greater_or_equal(esk4_2(X11,X12),X12)
| ~ in_environment(X11,X12)
| ~ environment(X11) )
& ( in_environment(X11,esk5_1(X11))
| ~ greater(growth_rate(efficient_producers,esk4_2(X11,X12)),growth_rate(first_movers,esk4_2(X11,X12)))
| ~ in_environment(X11,X12)
| ~ environment(X11) )
& ( ~ greater(growth_rate(efficient_producers,esk5_1(X11)),growth_rate(first_movers,esk5_1(X11)))
| ~ greater(growth_rate(efficient_producers,esk4_2(X11,X12)),growth_rate(first_movers,esk4_2(X11,X12)))
| ~ in_environment(X11,X12)
| ~ environment(X11) )
& ( ~ subpopulations(first_movers,efficient_producers,X11,X15)
| ~ greater(X15,esk5_1(X11))
| greater(growth_rate(efficient_producers,X15),growth_rate(first_movers,X15))
| ~ greater(growth_rate(efficient_producers,esk4_2(X11,X12)),growth_rate(first_movers,esk4_2(X11,X12)))
| ~ in_environment(X11,X12)
| ~ environment(X11) ) ),
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_5])])])])]) ).
cnf(c_0_10,hypothesis,
( in_environment(X1,esk2_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
stable(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
environment(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,hypothesis,
! [X4,X5] :
( ( subpopulations(first_movers,efficient_producers,X4,esk1_2(X4,X5))
| ~ environment(X4)
| greater(growth_rate(efficient_producers,X5),growth_rate(first_movers,X5))
| ~ in_environment(X4,X5)
| X5 = critical_point(X4) )
& ( greater(esk1_2(X4,X5),X5)
| ~ environment(X4)
| greater(growth_rate(efficient_producers,X5),growth_rate(first_movers,X5))
| ~ in_environment(X4,X5)
| X5 = critical_point(X4) )
& ( ~ greater(growth_rate(efficient_producers,esk1_2(X4,X5)),growth_rate(first_movers,esk1_2(X4,X5)))
| ~ environment(X4)
| greater(growth_rate(efficient_producers,X5),growth_rate(first_movers,X5))
| ~ in_environment(X4,X5)
| X5 = critical_point(X4) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_14,plain,
( in_environment(X1,esk5_1(X1))
| greater_or_equal(esk4_2(X1,X2),X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
in_environment(esk3_0,esk2_1(esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).
cnf(c_0_16,plain,
( in_environment(X1,esk5_1(X1))
| subpopulations(first_movers,efficient_producers,X1,esk4_2(X1,X2))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,hypothesis,
( greater(esk1_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_13]) ).
cnf(c_0_18,negated_conjecture,
( greater_or_equal(esk4_2(esk3_0,esk2_1(esk3_0)),esk2_1(esk3_0))
| in_environment(esk3_0,esk5_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_12])]) ).
cnf(c_0_19,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk3_0,esk4_2(esk3_0,esk2_1(esk3_0)))
| in_environment(esk3_0,esk5_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_15]),c_0_12])]) ).
cnf(c_0_20,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,esk2_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0))
| greater_or_equal(esk4_2(esk3_0,esk2_1(esk3_0)),esk2_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_12])]) ).
cnf(c_0_22,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0))
| subpopulations(first_movers,efficient_producers,esk3_0,esk4_2(esk3_0,esk2_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_19]),c_0_12])]) ).
cnf(c_0_23,plain,
( in_environment(X1,esk5_1(X1))
| ~ greater(growth_rate(efficient_producers,esk4_2(X1,X2)),growth_rate(first_movers,esk4_2(X1,X2)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_24,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk4_2(esk3_0,esk2_1(esk3_0))),growth_rate(first_movers,esk4_2(esk3_0,esk2_1(esk3_0))))
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_11]),c_0_12])]),c_0_22]) ).
cnf(c_0_25,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0))
| in_environment(esk3_0,esk5_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_15]),c_0_12])]) ).
cnf(c_0_26,plain,
( greater_or_equal(esk4_2(X1,X2),X2)
| ~ greater(growth_rate(efficient_producers,esk5_1(X1)),growth_rate(first_movers,esk5_1(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_27,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_25]),c_0_12])]) ).
cnf(c_0_28,plain,
( subpopulations(first_movers,efficient_producers,X1,esk4_2(X1,X2))
| ~ greater(growth_rate(efficient_producers,esk5_1(X1)),growth_rate(first_movers,esk5_1(X1)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_29,plain,
( ~ greater(growth_rate(efficient_producers,esk5_1(X1)),growth_rate(first_movers,esk5_1(X1)))
| ~ greater(growth_rate(efficient_producers,esk4_2(X1,X2)),growth_rate(first_movers,esk4_2(X1,X2)))
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_30,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0))
| greater_or_equal(esk4_2(esk3_0,X1),X1)
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_12])]) ).
cnf(c_0_31,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0))
| subpopulations(first_movers,efficient_producers,esk3_0,esk4_2(esk3_0,X1))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_27]),c_0_12])]) ).
cnf(c_0_32,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0))
| ~ greater(growth_rate(efficient_producers,esk4_2(esk3_0,X1)),growth_rate(first_movers,esk4_2(esk3_0,X1)))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_27]),c_0_12])]) ).
cnf(c_0_33,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0))
| greater_or_equal(esk4_2(esk3_0,esk2_1(esk3_0)),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_15]) ).
cnf(c_0_34,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0))
| subpopulations(first_movers,efficient_producers,esk3_0,esk4_2(esk3_0,esk2_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_31,c_0_15]) ).
cnf(c_0_35,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0))
| ~ greater(growth_rate(efficient_producers,esk4_2(esk3_0,esk2_1(esk3_0))),growth_rate(first_movers,esk4_2(esk3_0,esk2_1(esk3_0)))) ),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_36,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| greater_or_equal(esk4_2(X1,X3),X3)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk5_1(X1))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_37,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(esk1_2(esk3_0,esk5_1(esk3_0)),esk5_1(esk3_0)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_33]),c_0_11]),c_0_12])]),c_0_34]),c_0_35]) ).
cnf(c_0_38,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| subpopulations(first_movers,efficient_producers,X1,esk4_2(X1,X3))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk5_1(X1))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_39,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,esk5_1(X1))
| ~ greater(growth_rate(efficient_producers,esk4_2(X1,X3)),growth_rate(first_movers,esk4_2(X1,X3)))
| ~ in_environment(X1,X3)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_40,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk1_2(esk3_0,esk5_1(esk3_0))),growth_rate(first_movers,esk1_2(esk3_0,esk5_1(esk3_0))))
| greater_or_equal(esk4_2(esk3_0,X1),X1)
| ~ subpopulations(first_movers,efficient_producers,esk3_0,esk1_2(esk3_0,esk5_1(esk3_0)))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_12])]) ).
cnf(c_0_41,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk1_2(esk3_0,esk5_1(esk3_0))),growth_rate(first_movers,esk1_2(esk3_0,esk5_1(esk3_0))))
| subpopulations(first_movers,efficient_producers,esk3_0,esk4_2(esk3_0,X1))
| ~ subpopulations(first_movers,efficient_producers,esk3_0,esk1_2(esk3_0,esk5_1(esk3_0)))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_37]),c_0_12])]) ).
cnf(c_0_42,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk1_2(esk3_0,esk5_1(esk3_0))),growth_rate(first_movers,esk1_2(esk3_0,esk5_1(esk3_0))))
| ~ greater(growth_rate(efficient_producers,esk4_2(esk3_0,X1)),growth_rate(first_movers,esk4_2(esk3_0,X1)))
| ~ subpopulations(first_movers,efficient_producers,esk3_0,esk1_2(esk3_0,esk5_1(esk3_0)))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_37]),c_0_12])]) ).
cnf(c_0_43,hypothesis,
( subpopulations(first_movers,efficient_producers,X1,esk1_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_13]) ).
cnf(c_0_44,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk1_2(esk3_0,esk5_1(esk3_0))),growth_rate(first_movers,esk1_2(esk3_0,esk5_1(esk3_0))))
| greater_or_equal(esk4_2(esk3_0,esk2_1(esk3_0)),esk2_1(esk3_0))
| ~ subpopulations(first_movers,efficient_producers,esk3_0,esk1_2(esk3_0,esk5_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_40,c_0_15]) ).
cnf(c_0_45,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk1_2(esk3_0,esk5_1(esk3_0))),growth_rate(first_movers,esk1_2(esk3_0,esk5_1(esk3_0))))
| subpopulations(first_movers,efficient_producers,esk3_0,esk4_2(esk3_0,esk2_1(esk3_0)))
| ~ subpopulations(first_movers,efficient_producers,esk3_0,esk1_2(esk3_0,esk5_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_41,c_0_15]) ).
cnf(c_0_46,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk1_2(esk3_0,esk5_1(esk3_0))),growth_rate(first_movers,esk1_2(esk3_0,esk5_1(esk3_0))))
| ~ greater(growth_rate(efficient_producers,esk4_2(esk3_0,esk2_1(esk3_0))),growth_rate(first_movers,esk4_2(esk3_0,esk2_1(esk3_0))))
| ~ subpopulations(first_movers,efficient_producers,esk3_0,esk1_2(esk3_0,esk5_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_42,c_0_15]) ).
cnf(c_0_47,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| greater_or_equal(esk4_2(esk3_0,esk2_1(esk3_0)),esk2_1(esk3_0))
| subpopulations(first_movers,efficient_producers,esk3_0,esk1_2(esk3_0,esk5_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_18]),c_0_12])]) ).
cnf(c_0_48,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| subpopulations(first_movers,efficient_producers,esk3_0,esk4_2(esk3_0,esk2_1(esk3_0)))
| subpopulations(first_movers,efficient_producers,esk3_0,esk1_2(esk3_0,esk5_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_19]),c_0_12])]) ).
cnf(c_0_49,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk1_2(esk3_0,esk5_1(esk3_0))),growth_rate(first_movers,esk1_2(esk3_0,esk5_1(esk3_0))))
| ~ subpopulations(first_movers,efficient_producers,esk3_0,esk1_2(esk3_0,esk5_1(esk3_0))) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_44]),c_0_11]),c_0_12])]),c_0_45]),c_0_46]) ).
cnf(c_0_50,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk4_2(esk3_0,esk2_1(esk3_0))),growth_rate(first_movers,esk4_2(esk3_0,esk2_1(esk3_0))))
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| subpopulations(first_movers,efficient_producers,esk3_0,esk1_2(esk3_0,esk5_1(esk3_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_47]),c_0_11]),c_0_12])]),c_0_48]) ).
cnf(c_0_51,hypothesis,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| X2 = critical_point(X1)
| ~ greater(growth_rate(efficient_producers,esk1_2(X1,X2)),growth_rate(first_movers,esk1_2(X1,X2)))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_52,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk4_2(esk3_0,esk2_1(esk3_0))),growth_rate(first_movers,esk4_2(esk3_0,esk2_1(esk3_0))))
| greater(growth_rate(efficient_producers,esk1_2(esk3_0,esk5_1(esk3_0))),growth_rate(first_movers,esk1_2(esk3_0,esk5_1(esk3_0))))
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_53,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk4_2(esk3_0,esk2_1(esk3_0))),growth_rate(first_movers,esk4_2(esk3_0,esk2_1(esk3_0))))
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| ~ in_environment(esk3_0,esk5_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_12])]) ).
cnf(c_0_54,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk4_2(esk3_0,esk2_1(esk3_0))),growth_rate(first_movers,esk4_2(esk3_0,esk2_1(esk3_0))))
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| greater_or_equal(esk4_2(esk3_0,esk2_1(esk3_0)),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_53,c_0_18]) ).
cnf(c_0_55,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk4_2(esk3_0,esk2_1(esk3_0))),growth_rate(first_movers,esk4_2(esk3_0,esk2_1(esk3_0))))
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| ~ subpopulations(first_movers,efficient_producers,esk3_0,esk4_2(esk3_0,esk2_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_54]),c_0_11]),c_0_12])]) ).
cnf(c_0_56,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk4_2(esk3_0,esk2_1(esk3_0))),growth_rate(first_movers,esk4_2(esk3_0,esk2_1(esk3_0))))
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_19]),c_0_55]) ).
cnf(c_0_57,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| in_environment(esk3_0,esk5_1(esk3_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_56]),c_0_15]),c_0_12])]) ).
cnf(c_0_58,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0)))
| subpopulations(first_movers,efficient_producers,esk3_0,esk1_2(esk3_0,esk5_1(esk3_0))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_57]),c_0_12])]) ).
cnf(c_0_59,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk1_2(esk3_0,esk5_1(esk3_0))),growth_rate(first_movers,esk1_2(esk3_0,esk5_1(esk3_0))))
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_49,c_0_58]) ).
cnf(c_0_60,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater(growth_rate(efficient_producers,esk5_1(esk3_0)),growth_rate(first_movers,esk5_1(esk3_0))) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_59]),c_0_12])]),c_0_57]) ).
cnf(c_0_61,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater_or_equal(esk4_2(esk3_0,X1),X1)
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_60]),c_0_12])]) ).
cnf(c_0_62,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| subpopulations(first_movers,efficient_producers,esk3_0,esk4_2(esk3_0,X1))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_60]),c_0_12])]) ).
cnf(c_0_63,hypothesis,
( esk5_1(esk3_0) = critical_point(esk3_0)
| ~ greater(growth_rate(efficient_producers,esk4_2(esk3_0,X1)),growth_rate(first_movers,esk4_2(esk3_0,X1)))
| ~ in_environment(esk3_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_60]),c_0_12])]) ).
cnf(c_0_64,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| greater_or_equal(esk4_2(esk3_0,esk2_1(esk3_0)),esk2_1(esk3_0)) ),
inference(spm,[status(thm)],[c_0_61,c_0_15]) ).
cnf(c_0_65,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| subpopulations(first_movers,efficient_producers,esk3_0,esk4_2(esk3_0,esk2_1(esk3_0))) ),
inference(spm,[status(thm)],[c_0_62,c_0_15]) ).
cnf(c_0_66,negated_conjecture,
( esk5_1(esk3_0) = critical_point(esk3_0)
| ~ greater(growth_rate(efficient_producers,esk4_2(esk3_0,esk2_1(esk3_0))),growth_rate(first_movers,esk4_2(esk3_0,esk2_1(esk3_0)))) ),
inference(spm,[status(thm)],[c_0_63,c_0_15]) ).
cnf(c_0_67,hypothesis,
esk5_1(esk3_0) = critical_point(esk3_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_64]),c_0_11]),c_0_12])]),c_0_65]),c_0_66]) ).
cnf(c_0_68,negated_conjecture,
~ in_environment(esk3_0,critical_point(esk3_0)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_69,negated_conjecture,
greater_or_equal(esk4_2(esk3_0,esk2_1(esk3_0)),esk2_1(esk3_0)),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_67]),c_0_68]) ).
cnf(c_0_70,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk3_0,esk4_2(esk3_0,esk2_1(esk3_0))),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_67]),c_0_68]) ).
cnf(c_0_71,hypothesis,
greater(growth_rate(efficient_producers,esk4_2(esk3_0,esk2_1(esk3_0))),growth_rate(first_movers,esk4_2(esk3_0,esk2_1(esk3_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_20,c_0_69]),c_0_11]),c_0_12])]),c_0_70])]) ).
cnf(c_0_72,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_71]),c_0_67]),c_0_15]),c_0_12])]),c_0_68]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Oct 3 00:15:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.TlALEjZDdW/E---3.1_26317.p
% 0.20/0.49 # Version: 3.1pre001
% 0.20/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49 # Starting sh5l with 300s (1) cores
% 0.20/0.49 # new_bool_1 with pid 26447 completed with status 0
% 0.20/0.49 # Result found by new_bool_1
% 0.20/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49 # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.20/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 163s (1) cores
% 0.20/0.49 # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 26455 completed with status 0
% 0.20/0.49 # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.20/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49 # Search class: FGHSF-FFMF21-SFFFFFNN
% 0.20/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 163s (1) cores
% 0.20/0.49 # Preprocessing time : 0.001 s
% 0.20/0.49 # Presaturation interreduction done
% 0.20/0.49
% 0.20/0.49 # Proof found!
% 0.20/0.49 # SZS status Theorem
% 0.20/0.49 # SZS output start CNFRefutation
% See solution above
% 0.20/0.49 # Parsed axioms : 4
% 0.20/0.49 # Removed by relevancy pruning/SinE : 0
% 0.20/0.49 # Initial clauses : 17
% 0.20/0.49 # Removed in clause preprocessing : 0
% 0.20/0.49 # Initial clauses in saturation : 17
% 0.20/0.49 # Processed clauses : 111
% 0.20/0.49 # ...of these trivial : 0
% 0.20/0.49 # ...subsumed : 22
% 0.20/0.49 # ...remaining for further processing : 89
% 0.20/0.49 # Other redundant clauses eliminated : 0
% 0.20/0.49 # Clauses deleted for lack of memory : 0
% 0.20/0.49 # Backward-subsumed : 32
% 0.20/0.49 # Backward-rewritten : 12
% 0.20/0.49 # Generated clauses : 90
% 0.20/0.49 # ...of the previous two non-redundant : 88
% 0.20/0.49 # ...aggressively subsumed : 0
% 0.20/0.49 # Contextual simplify-reflections : 12
% 0.20/0.49 # Paramodulations : 90
% 0.20/0.49 # Factorizations : 0
% 0.20/0.49 # NegExts : 0
% 0.20/0.49 # Equation resolutions : 0
% 0.20/0.49 # Total rewrite steps : 84
% 0.20/0.49 # Propositional unsat checks : 0
% 0.20/0.49 # Propositional check models : 0
% 0.20/0.49 # Propositional check unsatisfiable : 0
% 0.20/0.49 # Propositional clauses : 0
% 0.20/0.49 # Propositional clauses after purity: 0
% 0.20/0.49 # Propositional unsat core size : 0
% 0.20/0.49 # Propositional preprocessing time : 0.000
% 0.20/0.49 # Propositional encoding time : 0.000
% 0.20/0.49 # Propositional solver time : 0.000
% 0.20/0.49 # Success case prop preproc time : 0.000
% 0.20/0.49 # Success case prop encoding time : 0.000
% 0.20/0.49 # Success case prop solver time : 0.000
% 0.20/0.49 # Current number of processed clauses : 28
% 0.20/0.49 # Positive orientable unit clauses : 7
% 0.20/0.49 # Positive unorientable unit clauses: 0
% 0.20/0.49 # Negative unit clauses : 1
% 0.20/0.49 # Non-unit-clauses : 20
% 0.20/0.49 # Current number of unprocessed clauses: 2
% 0.20/0.49 # ...number of literals in the above : 10
% 0.20/0.49 # Current number of archived formulas : 0
% 0.20/0.49 # Current number of archived clauses : 61
% 0.20/0.49 # Clause-clause subsumption calls (NU) : 932
% 0.20/0.49 # Rec. Clause-clause subsumption calls : 207
% 0.20/0.49 # Non-unit clause-clause subsumptions : 66
% 0.20/0.49 # Unit Clause-clause subsumption calls : 39
% 0.20/0.49 # Rewrite failures with RHS unbound : 0
% 0.20/0.49 # BW rewrite match attempts : 10
% 0.20/0.49 # BW rewrite match successes : 2
% 0.20/0.49 # Condensation attempts : 0
% 0.20/0.49 # Condensation successes : 0
% 0.20/0.49 # Termbank termtop insertions : 4510
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.012 s
% 0.20/0.49 # System time : 0.001 s
% 0.20/0.49 # Total time : 0.014 s
% 0.20/0.49 # Maximum resident set size: 1708 pages
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.013 s
% 0.20/0.49 # System time : 0.004 s
% 0.20/0.49 # Total time : 0.017 s
% 0.20/0.49 # Maximum resident set size: 1728 pages
% 0.20/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------