TSTP Solution File: MGT028+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT028+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art02.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 21:05:09 EST 2010
% Result : Theorem 0.28s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 3
% Syntax : Number of formulae : 91 ( 11 unt; 0 def)
% Number of atoms : 423 ( 0 equ)
% Maximal formula atoms : 36 ( 4 avg)
% Number of connectives : 556 ( 224 ~; 260 |; 63 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn 39 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1] :
( ( environment(X1)
& stable(X1)
& ? [X2] :
( in_environment(X1,X2)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2) )
=> greater(zero,growth_rate(first_movers,X3)) ) ) )
=> ? [X4] :
( greater(X4,appear(efficient_producers,X1))
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X4) )
=> greater(zero,growth_rate(first_movers,X3)) ) ) ),
file('/tmp/tmpEkHguS/sel_MGT028+1.p_1',mp_first_movers_negative_growth) ).
fof(2,axiom,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X5] :
( in_environment(X1,X5)
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X5) )
=> ( greater(growth_rate(efficient_producers,X3),zero)
& greater(zero,growth_rate(first_movers,X3)) ) ) ) ),
file('/tmp/tmpEkHguS/sel_MGT028+1.p_1',l11) ).
fof(3,conjecture,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X5] :
( greater(X5,appear(efficient_producers,X1))
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X5) )
=> greater(zero,growth_rate(first_movers,X3)) ) ) ),
file('/tmp/tmpEkHguS/sel_MGT028+1.p_1',prove_l10) ).
fof(4,negated_conjecture,
~ ! [X1] :
( ( environment(X1)
& stable(X1) )
=> ? [X5] :
( greater(X5,appear(efficient_producers,X1))
& ! [X3] :
( ( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X5) )
=> greater(zero,growth_rate(first_movers,X3)) ) ) ),
inference(assume_negation,[status(cth)],[3]) ).
fof(5,plain,
! [X1] :
( ~ environment(X1)
| ~ stable(X1)
| ! [X2] :
( ~ in_environment(X1,X2)
| ? [X3] :
( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X2)
& ~ greater(zero,growth_rate(first_movers,X3)) ) )
| ? [X4] :
( greater(X4,appear(efficient_producers,X1))
& ! [X3] :
( ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater_or_equal(X3,X4)
| greater(zero,growth_rate(first_movers,X3)) ) ) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(6,plain,
! [X5] :
( ~ environment(X5)
| ~ stable(X5)
| ! [X6] :
( ~ in_environment(X5,X6)
| ? [X7] :
( subpopulations(first_movers,efficient_producers,X5,X7)
& greater_or_equal(X7,X6)
& ~ greater(zero,growth_rate(first_movers,X7)) ) )
| ? [X8] :
( greater(X8,appear(efficient_producers,X5))
& ! [X9] :
( ~ subpopulations(first_movers,efficient_producers,X5,X9)
| ~ greater_or_equal(X9,X8)
| greater(zero,growth_rate(first_movers,X9)) ) ) ),
inference(variable_rename,[status(thm)],[5]) ).
fof(7,plain,
! [X5] :
( ~ environment(X5)
| ~ stable(X5)
| ! [X6] :
( ~ in_environment(X5,X6)
| ( subpopulations(first_movers,efficient_producers,X5,esk1_2(X5,X6))
& greater_or_equal(esk1_2(X5,X6),X6)
& ~ greater(zero,growth_rate(first_movers,esk1_2(X5,X6))) ) )
| ( greater(esk2_1(X5),appear(efficient_producers,X5))
& ! [X9] :
( ~ subpopulations(first_movers,efficient_producers,X5,X9)
| ~ greater_or_equal(X9,esk2_1(X5))
| greater(zero,growth_rate(first_movers,X9)) ) ) ),
inference(skolemize,[status(esa)],[6]) ).
fof(8,plain,
! [X5,X6,X9] :
( ( ( ~ subpopulations(first_movers,efficient_producers,X5,X9)
| ~ greater_or_equal(X9,esk2_1(X5))
| greater(zero,growth_rate(first_movers,X9)) )
& greater(esk2_1(X5),appear(efficient_producers,X5)) )
| ~ in_environment(X5,X6)
| ( subpopulations(first_movers,efficient_producers,X5,esk1_2(X5,X6))
& greater_or_equal(esk1_2(X5,X6),X6)
& ~ greater(zero,growth_rate(first_movers,esk1_2(X5,X6))) )
| ~ environment(X5)
| ~ stable(X5) ),
inference(shift_quantors,[status(thm)],[7]) ).
fof(9,plain,
! [X5,X6,X9] :
( ( subpopulations(first_movers,efficient_producers,X5,esk1_2(X5,X6))
| ~ in_environment(X5,X6)
| ~ environment(X5)
| ~ stable(X5)
| ~ subpopulations(first_movers,efficient_producers,X5,X9)
| ~ greater_or_equal(X9,esk2_1(X5))
| greater(zero,growth_rate(first_movers,X9)) )
& ( greater_or_equal(esk1_2(X5,X6),X6)
| ~ in_environment(X5,X6)
| ~ environment(X5)
| ~ stable(X5)
| ~ subpopulations(first_movers,efficient_producers,X5,X9)
| ~ greater_or_equal(X9,esk2_1(X5))
| greater(zero,growth_rate(first_movers,X9)) )
& ( ~ greater(zero,growth_rate(first_movers,esk1_2(X5,X6)))
| ~ in_environment(X5,X6)
| ~ environment(X5)
| ~ stable(X5)
| ~ subpopulations(first_movers,efficient_producers,X5,X9)
| ~ greater_or_equal(X9,esk2_1(X5))
| greater(zero,growth_rate(first_movers,X9)) )
& ( subpopulations(first_movers,efficient_producers,X5,esk1_2(X5,X6))
| ~ in_environment(X5,X6)
| ~ environment(X5)
| ~ stable(X5)
| greater(esk2_1(X5),appear(efficient_producers,X5)) )
& ( greater_or_equal(esk1_2(X5,X6),X6)
| ~ in_environment(X5,X6)
| ~ environment(X5)
| ~ stable(X5)
| greater(esk2_1(X5),appear(efficient_producers,X5)) )
& ( ~ greater(zero,growth_rate(first_movers,esk1_2(X5,X6)))
| ~ in_environment(X5,X6)
| ~ environment(X5)
| ~ stable(X5)
| greater(esk2_1(X5),appear(efficient_producers,X5)) ) ),
inference(distribute,[status(thm)],[8]) ).
cnf(10,plain,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ stable(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(zero,growth_rate(first_movers,esk1_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(11,plain,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| greater_or_equal(esk1_2(X1,X2),X2)
| ~ stable(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(12,plain,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,X2))
| ~ stable(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(13,plain,
( greater(zero,growth_rate(first_movers,X1))
| ~ greater_or_equal(X1,esk2_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ stable(X2)
| ~ environment(X2)
| ~ in_environment(X2,X3)
| ~ greater(zero,growth_rate(first_movers,esk1_2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(14,plain,
( greater(zero,growth_rate(first_movers,X1))
| greater_or_equal(esk1_2(X2,X3),X3)
| ~ greater_or_equal(X1,esk2_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ stable(X2)
| ~ environment(X2)
| ~ in_environment(X2,X3) ),
inference(split_conjunct,[status(thm)],[9]) ).
cnf(15,plain,
( greater(zero,growth_rate(first_movers,X1))
| subpopulations(first_movers,efficient_producers,X2,esk1_2(X2,X3))
| ~ greater_or_equal(X1,esk2_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ stable(X2)
| ~ environment(X2)
| ~ in_environment(X2,X3) ),
inference(split_conjunct,[status(thm)],[9]) ).
fof(16,plain,
! [X1] :
( ~ environment(X1)
| ~ stable(X1)
| ? [X5] :
( in_environment(X1,X5)
& ! [X3] :
( ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ greater_or_equal(X3,X5)
| ( greater(growth_rate(efficient_producers,X3),zero)
& greater(zero,growth_rate(first_movers,X3)) ) ) ) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(17,plain,
! [X6] :
( ~ environment(X6)
| ~ stable(X6)
| ? [X7] :
( in_environment(X6,X7)
& ! [X8] :
( ~ subpopulations(first_movers,efficient_producers,X6,X8)
| ~ greater_or_equal(X8,X7)
| ( greater(growth_rate(efficient_producers,X8),zero)
& greater(zero,growth_rate(first_movers,X8)) ) ) ) ),
inference(variable_rename,[status(thm)],[16]) ).
fof(18,plain,
! [X6] :
( ~ environment(X6)
| ~ stable(X6)
| ( in_environment(X6,esk3_1(X6))
& ! [X8] :
( ~ subpopulations(first_movers,efficient_producers,X6,X8)
| ~ greater_or_equal(X8,esk3_1(X6))
| ( greater(growth_rate(efficient_producers,X8),zero)
& greater(zero,growth_rate(first_movers,X8)) ) ) ) ),
inference(skolemize,[status(esa)],[17]) ).
fof(19,plain,
! [X6,X8] :
( ( ( ~ subpopulations(first_movers,efficient_producers,X6,X8)
| ~ greater_or_equal(X8,esk3_1(X6))
| ( greater(growth_rate(efficient_producers,X8),zero)
& greater(zero,growth_rate(first_movers,X8)) ) )
& in_environment(X6,esk3_1(X6)) )
| ~ environment(X6)
| ~ stable(X6) ),
inference(shift_quantors,[status(thm)],[18]) ).
fof(20,plain,
! [X6,X8] :
( ( greater(growth_rate(efficient_producers,X8),zero)
| ~ subpopulations(first_movers,efficient_producers,X6,X8)
| ~ greater_or_equal(X8,esk3_1(X6))
| ~ environment(X6)
| ~ stable(X6) )
& ( greater(zero,growth_rate(first_movers,X8))
| ~ subpopulations(first_movers,efficient_producers,X6,X8)
| ~ greater_or_equal(X8,esk3_1(X6))
| ~ environment(X6)
| ~ stable(X6) )
& ( in_environment(X6,esk3_1(X6))
| ~ environment(X6)
| ~ stable(X6) ) ),
inference(distribute,[status(thm)],[19]) ).
cnf(21,plain,
( in_environment(X1,esk3_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[20]) ).
cnf(22,plain,
( greater(zero,growth_rate(first_movers,X2))
| ~ stable(X1)
| ~ environment(X1)
| ~ greater_or_equal(X2,esk3_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(split_conjunct,[status(thm)],[20]) ).
fof(24,negated_conjecture,
? [X1] :
( environment(X1)
& stable(X1)
& ! [X5] :
( ~ greater(X5,appear(efficient_producers,X1))
| ? [X3] :
( subpopulations(first_movers,efficient_producers,X1,X3)
& greater_or_equal(X3,X5)
& ~ greater(zero,growth_rate(first_movers,X3)) ) ) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(25,negated_conjecture,
? [X6] :
( environment(X6)
& stable(X6)
& ! [X7] :
( ~ greater(X7,appear(efficient_producers,X6))
| ? [X8] :
( subpopulations(first_movers,efficient_producers,X6,X8)
& greater_or_equal(X8,X7)
& ~ greater(zero,growth_rate(first_movers,X8)) ) ) ),
inference(variable_rename,[status(thm)],[24]) ).
fof(26,negated_conjecture,
( environment(esk4_0)
& stable(esk4_0)
& ! [X7] :
( ~ greater(X7,appear(efficient_producers,esk4_0))
| ( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X7))
& greater_or_equal(esk5_1(X7),X7)
& ~ greater(zero,growth_rate(first_movers,esk5_1(X7))) ) ) ),
inference(skolemize,[status(esa)],[25]) ).
fof(27,negated_conjecture,
! [X7] :
( ( ~ greater(X7,appear(efficient_producers,esk4_0))
| ( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X7))
& greater_or_equal(esk5_1(X7),X7)
& ~ greater(zero,growth_rate(first_movers,esk5_1(X7))) ) )
& environment(esk4_0)
& stable(esk4_0) ),
inference(shift_quantors,[status(thm)],[26]) ).
fof(28,negated_conjecture,
! [X7] :
( ( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X7))
| ~ greater(X7,appear(efficient_producers,esk4_0)) )
& ( greater_or_equal(esk5_1(X7),X7)
| ~ greater(X7,appear(efficient_producers,esk4_0)) )
& ( ~ greater(zero,growth_rate(first_movers,esk5_1(X7)))
| ~ greater(X7,appear(efficient_producers,esk4_0)) )
& environment(esk4_0)
& stable(esk4_0) ),
inference(distribute,[status(thm)],[27]) ).
cnf(29,negated_conjecture,
stable(esk4_0),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(30,negated_conjecture,
environment(esk4_0),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(31,negated_conjecture,
( ~ greater(X1,appear(efficient_producers,esk4_0))
| ~ greater(zero,growth_rate(first_movers,esk5_1(X1))) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(32,negated_conjecture,
( greater_or_equal(esk5_1(X1),X1)
| ~ greater(X1,appear(efficient_producers,esk4_0)) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(33,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(X1))
| ~ greater(X1,appear(efficient_producers,esk4_0)) ),
inference(split_conjunct,[status(thm)],[28]) ).
cnf(34,plain,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| greater_or_equal(esk1_2(X1,esk3_1(X1)),esk3_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[11,21,theory(equality)]) ).
cnf(35,plain,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,esk3_1(X1)))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[12,21,theory(equality)]) ).
cnf(36,plain,
( greater(zero,growth_rate(first_movers,esk1_2(X1,esk3_1(X1))))
| greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,X1,esk1_2(X1,esk3_1(X1)))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[22,34,theory(equality)]) ).
cnf(38,plain,
( greater(zero,growth_rate(first_movers,esk1_2(X1,esk3_1(X1))))
| greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(csr,[status(thm)],[36,35]) ).
cnf(39,plain,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ in_environment(X1,esk3_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[10,38,theory(equality)]) ).
cnf(41,plain,
( greater(esk2_1(X1),appear(efficient_producers,X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(csr,[status(thm)],[39,21]) ).
cnf(42,plain,
( greater_or_equal(esk5_1(esk2_1(esk4_0)),esk2_1(esk4_0))
| ~ stable(esk4_0)
| ~ environment(esk4_0) ),
inference(spm,[status(thm)],[32,41,theory(equality)]) ).
cnf(43,plain,
( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ stable(esk4_0)
| ~ environment(esk4_0) ),
inference(spm,[status(thm)],[33,41,theory(equality)]) ).
cnf(44,plain,
( ~ greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| ~ stable(esk4_0)
| ~ environment(esk4_0) ),
inference(spm,[status(thm)],[31,41,theory(equality)]) ).
cnf(45,plain,
( greater_or_equal(esk5_1(esk2_1(esk4_0)),esk2_1(esk4_0))
| $false
| ~ environment(esk4_0) ),
inference(rw,[status(thm)],[42,29,theory(equality)]) ).
cnf(46,plain,
( greater_or_equal(esk5_1(esk2_1(esk4_0)),esk2_1(esk4_0))
| $false
| $false ),
inference(rw,[status(thm)],[45,30,theory(equality)]) ).
cnf(47,plain,
greater_or_equal(esk5_1(esk2_1(esk4_0)),esk2_1(esk4_0)),
inference(cn,[status(thm)],[46,theory(equality)]) ).
cnf(48,plain,
( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| $false
| ~ environment(esk4_0) ),
inference(rw,[status(thm)],[43,29,theory(equality)]) ).
cnf(49,plain,
( subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| $false
| $false ),
inference(rw,[status(thm)],[48,30,theory(equality)]) ).
cnf(50,plain,
subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0))),
inference(cn,[status(thm)],[49,theory(equality)]) ).
cnf(51,plain,
( ~ greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| $false
| ~ environment(esk4_0) ),
inference(rw,[status(thm)],[44,29,theory(equality)]) ).
cnf(52,plain,
( ~ greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| $false
| $false ),
inference(rw,[status(thm)],[51,30,theory(equality)]) ).
cnf(53,plain,
~ greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0)))),
inference(cn,[status(thm)],[52,theory(equality)]) ).
cnf(54,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| greater_or_equal(esk1_2(esk4_0,X1),X1)
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1)
| ~ stable(esk4_0)
| ~ environment(esk4_0) ),
inference(spm,[status(thm)],[14,47,theory(equality)]) ).
cnf(55,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| ~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,X1)))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1)
| ~ stable(esk4_0)
| ~ environment(esk4_0) ),
inference(spm,[status(thm)],[13,47,theory(equality)]) ).
cnf(56,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1)
| ~ stable(esk4_0)
| ~ environment(esk4_0) ),
inference(spm,[status(thm)],[15,47,theory(equality)]) ).
cnf(57,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| greater_or_equal(esk1_2(esk4_0,X1),X1)
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1)
| $false
| ~ environment(esk4_0) ),
inference(rw,[status(thm)],[54,29,theory(equality)]) ).
cnf(58,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| greater_or_equal(esk1_2(esk4_0,X1),X1)
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1)
| $false
| $false ),
inference(rw,[status(thm)],[57,30,theory(equality)]) ).
cnf(59,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| greater_or_equal(esk1_2(esk4_0,X1),X1)
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[58,theory(equality)]) ).
cnf(60,plain,
( greater_or_equal(esk1_2(esk4_0,X1),X1)
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1) ),
inference(sr,[status(thm)],[59,53,theory(equality)]) ).
cnf(61,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| ~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,X1)))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1)
| $false
| ~ environment(esk4_0) ),
inference(rw,[status(thm)],[55,29,theory(equality)]) ).
cnf(62,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| ~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,X1)))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1)
| $false
| $false ),
inference(rw,[status(thm)],[61,30,theory(equality)]) ).
cnf(63,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| ~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,X1)))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[62,theory(equality)]) ).
cnf(64,plain,
( ~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,X1)))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1) ),
inference(sr,[status(thm)],[63,53,theory(equality)]) ).
cnf(65,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1)
| $false
| ~ environment(esk4_0) ),
inference(rw,[status(thm)],[56,29,theory(equality)]) ).
cnf(66,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1)
| $false
| $false ),
inference(rw,[status(thm)],[65,30,theory(equality)]) ).
cnf(67,plain,
( greater(zero,growth_rate(first_movers,esk5_1(esk2_1(esk4_0))))
| subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[66,theory(equality)]) ).
cnf(68,plain,
( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk5_1(esk2_1(esk4_0)))
| ~ in_environment(esk4_0,X1) ),
inference(sr,[status(thm)],[67,53,theory(equality)]) ).
cnf(69,plain,
( greater_or_equal(esk1_2(esk4_0,X1),X1)
| $false
| ~ in_environment(esk4_0,X1) ),
inference(rw,[status(thm)],[60,50,theory(equality)]) ).
cnf(70,plain,
( greater_or_equal(esk1_2(esk4_0,X1),X1)
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[69,theory(equality)]) ).
cnf(71,plain,
( greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0))
| ~ stable(esk4_0)
| ~ environment(esk4_0) ),
inference(spm,[status(thm)],[70,21,theory(equality)]) ).
cnf(72,plain,
( greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0))
| $false
| ~ environment(esk4_0) ),
inference(rw,[status(thm)],[71,29,theory(equality)]) ).
cnf(73,plain,
( greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0))
| $false
| $false ),
inference(rw,[status(thm)],[72,30,theory(equality)]) ).
cnf(74,plain,
greater_or_equal(esk1_2(esk4_0,esk3_1(esk4_0)),esk3_1(esk4_0)),
inference(cn,[status(thm)],[73,theory(equality)]) ).
cnf(75,plain,
( greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0)))
| ~ stable(esk4_0)
| ~ environment(esk4_0) ),
inference(spm,[status(thm)],[22,74,theory(equality)]) ).
cnf(77,plain,
( greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0)))
| $false
| ~ environment(esk4_0) ),
inference(rw,[status(thm)],[75,29,theory(equality)]) ).
cnf(78,plain,
( greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0)))
| $false
| $false ),
inference(rw,[status(thm)],[77,30,theory(equality)]) ).
cnf(79,plain,
( greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| ~ subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0))) ),
inference(cn,[status(thm)],[78,theory(equality)]) ).
cnf(83,plain,
( ~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,X1)))
| $false
| ~ in_environment(esk4_0,X1) ),
inference(rw,[status(thm)],[64,50,theory(equality)]) ).
cnf(84,plain,
( ~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,X1)))
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[83,theory(equality)]) ).
cnf(85,plain,
( ~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| ~ stable(esk4_0)
| ~ environment(esk4_0) ),
inference(spm,[status(thm)],[84,21,theory(equality)]) ).
cnf(86,plain,
( ~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| $false
| ~ environment(esk4_0) ),
inference(rw,[status(thm)],[85,29,theory(equality)]) ).
cnf(87,plain,
( ~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| $false
| $false ),
inference(rw,[status(thm)],[86,30,theory(equality)]) ).
cnf(88,plain,
~ greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0)))),
inference(cn,[status(thm)],[87,theory(equality)]) ).
cnf(89,plain,
( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| $false
| ~ in_environment(esk4_0,X1) ),
inference(rw,[status(thm)],[68,50,theory(equality)]) ).
cnf(90,plain,
( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,X1))
| ~ in_environment(esk4_0,X1) ),
inference(cn,[status(thm)],[89,theory(equality)]) ).
cnf(91,plain,
( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0)))
| ~ stable(esk4_0)
| ~ environment(esk4_0) ),
inference(spm,[status(thm)],[90,21,theory(equality)]) ).
cnf(92,plain,
( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0)))
| $false
| ~ environment(esk4_0) ),
inference(rw,[status(thm)],[91,29,theory(equality)]) ).
cnf(93,plain,
( subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0)))
| $false
| $false ),
inference(rw,[status(thm)],[92,30,theory(equality)]) ).
cnf(94,plain,
subpopulations(first_movers,efficient_producers,esk4_0,esk1_2(esk4_0,esk3_1(esk4_0))),
inference(cn,[status(thm)],[93,theory(equality)]) ).
cnf(97,plain,
( greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0))))
| $false ),
inference(rw,[status(thm)],[79,94,theory(equality)]) ).
cnf(98,plain,
greater(zero,growth_rate(first_movers,esk1_2(esk4_0,esk3_1(esk4_0)))),
inference(cn,[status(thm)],[97,theory(equality)]) ).
cnf(99,plain,
$false,
inference(sr,[status(thm)],[98,88,theory(equality)]) ).
cnf(100,plain,
$false,
99,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT028+1.p
% --creating new selector for []
% -running prover on /tmp/tmpEkHguS/sel_MGT028+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT028+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT028+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT028+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------