%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT023+2 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art11.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 3.00GHz @ 3000MHz
% Memory : 2006MB
% OS : Linux 2.6.31.5-127.fc12.i686.PAE
% CPULimit : 300s
% DateTime : Sat Dec 25 21:09:10 EST 2010
% Result : Theorem 0.25s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 4
% Syntax : Number of formulae : 154 ( 7 unt; 0 def)
% Number of atoms : 768 ( 114 equ)
% Maximal formula atoms : 42 ( 4 avg)
% Number of connectives : 923 ( 309 ~; 532 |; 68 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 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 : 142 ( 0 sgn 49 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1] :
( ( environment(X1)
& stable(X1) )
=> in_environment(X1,critical_point(X1)) ),
file('/tmp/tmpeethND/sel_MGT023+2.p_1',prove_l5) ).
fof(2,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('/tmp/tmpeethND/sel_MGT023+2.p_1',mp_earliest_time_growth_rate_exceeds) ).
fof(3,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(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
file('/tmp/tmpeethND/sel_MGT023+2.p_1',l1) ).
fof(4,axiom,
! [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('/tmp/tmpeethND/sel_MGT023+2.p_1',d1) ).
fof(5,negated_conjecture,
~ ! [X1] :
( ( environment(X1)
& stable(X1) )
=> in_environment(X1,critical_point(X1)) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(6,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)],[2,theory(equality)]) ).
fof(7,plain,
! [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)],[4,theory(equality)]) ).
fof(8,negated_conjecture,
? [X1] :
( environment(X1)
& stable(X1)
& ~ in_environment(X1,critical_point(X1)) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(9,negated_conjecture,
? [X2] :
( environment(X2)
& stable(X2)
& ~ in_environment(X2,critical_point(X2)) ),
inference(variable_rename,[status(thm)],[8]) ).
fof(10,negated_conjecture,
( environment(esk1_0)
& stable(esk1_0)
& ~ in_environment(esk1_0,critical_point(esk1_0)) ),
inference(skolemize,[status(esa)],[9]) ).
cnf(11,negated_conjecture,
~ in_environment(esk1_0,critical_point(esk1_0)),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(12,negated_conjecture,
stable(esk1_0),
inference(split_conjunct,[status(thm)],[10]) ).
cnf(13,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[10]) ).
fof(14,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_nnf,[status(thm)],[6]) ).
fof(15,plain,
! [X4] :
( ~ environment(X4)
| ! [X5] :
( ~ in_environment(X4,X5)
| ? [X6] :
( subpopulations(first_movers,efficient_producers,X4,X6)
& greater_or_equal(X6,X5)
& ~ greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6)) ) )
| ? [X7] :
( in_environment(X4,X7)
& ~ greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7))
& ! [X8] :
( ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,X7)
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8)) ) ) ),
inference(variable_rename,[status(thm)],[14]) ).
fof(16,plain,
! [X4] :
( ~ environment(X4)
| ! [X5] :
( ~ in_environment(X4,X5)
| ( subpopulations(first_movers,efficient_producers,X4,esk2_2(X4,X5))
& greater_or_equal(esk2_2(X4,X5),X5)
& ~ greater(growth_rate(efficient_producers,esk2_2(X4,X5)),growth_rate(first_movers,esk2_2(X4,X5))) ) )
| ( in_environment(X4,esk3_1(X4))
& ~ greater(growth_rate(efficient_producers,esk3_1(X4)),growth_rate(first_movers,esk3_1(X4)))
& ! [X8] :
( ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,esk3_1(X4))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8)) ) ) ),
inference(skolemize,[status(esa)],[15]) ).
fof(17,plain,
! [X4,X5,X8] :
( ( ( ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,esk3_1(X4))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8)) )
& in_environment(X4,esk3_1(X4))
& ~ greater(growth_rate(efficient_producers,esk3_1(X4)),growth_rate(first_movers,esk3_1(X4))) )
| ~ in_environment(X4,X5)
| ( subpopulations(first_movers,efficient_producers,X4,esk2_2(X4,X5))
& greater_or_equal(esk2_2(X4,X5),X5)
& ~ greater(growth_rate(efficient_producers,esk2_2(X4,X5)),growth_rate(first_movers,esk2_2(X4,X5))) )
| ~ environment(X4) ),
inference(shift_quantors,[status(thm)],[16]) ).
fof(18,plain,
! [X4,X5,X8] :
( ( subpopulations(first_movers,efficient_producers,X4,esk2_2(X4,X5))
| ~ in_environment(X4,X5)
| ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,esk3_1(X4))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8)) )
& ( greater_or_equal(esk2_2(X4,X5),X5)
| ~ in_environment(X4,X5)
| ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,esk3_1(X4))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8)) )
& ( ~ greater(growth_rate(efficient_producers,esk2_2(X4,X5)),growth_rate(first_movers,esk2_2(X4,X5)))
| ~ in_environment(X4,X5)
| ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,X8)
| ~ greater(X8,esk3_1(X4))
| greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8)) )
& ( subpopulations(first_movers,efficient_producers,X4,esk2_2(X4,X5))
| ~ in_environment(X4,X5)
| ~ environment(X4)
| in_environment(X4,esk3_1(X4)) )
& ( greater_or_equal(esk2_2(X4,X5),X5)
| ~ in_environment(X4,X5)
| ~ environment(X4)
| in_environment(X4,esk3_1(X4)) )
& ( ~ greater(growth_rate(efficient_producers,esk2_2(X4,X5)),growth_rate(first_movers,esk2_2(X4,X5)))
| ~ in_environment(X4,X5)
| ~ environment(X4)
| in_environment(X4,esk3_1(X4)) )
& ( subpopulations(first_movers,efficient_producers,X4,esk2_2(X4,X5))
| ~ in_environment(X4,X5)
| ~ environment(X4)
| ~ greater(growth_rate(efficient_producers,esk3_1(X4)),growth_rate(first_movers,esk3_1(X4))) )
& ( greater_or_equal(esk2_2(X4,X5),X5)
| ~ in_environment(X4,X5)
| ~ environment(X4)
| ~ greater(growth_rate(efficient_producers,esk3_1(X4)),growth_rate(first_movers,esk3_1(X4))) )
& ( ~ greater(growth_rate(efficient_producers,esk2_2(X4,X5)),growth_rate(first_movers,esk2_2(X4,X5)))
| ~ in_environment(X4,X5)
| ~ environment(X4)
| ~ greater(growth_rate(efficient_producers,esk3_1(X4)),growth_rate(first_movers,esk3_1(X4))) ) ),
inference(distribute,[status(thm)],[17]) ).
cnf(19,plain,
( ~ greater(growth_rate(efficient_producers,esk3_1(X1)),growth_rate(first_movers,esk3_1(X1)))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk2_2(X1,X2)),growth_rate(first_movers,esk2_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(20,plain,
( greater_or_equal(esk2_2(X1,X2),X2)
| ~ greater(growth_rate(efficient_producers,esk3_1(X1)),growth_rate(first_movers,esk3_1(X1)))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(21,plain,
( subpopulations(first_movers,efficient_producers,X1,esk2_2(X1,X2))
| ~ greater(growth_rate(efficient_producers,esk3_1(X1)),growth_rate(first_movers,esk3_1(X1)))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(22,plain,
( in_environment(X1,esk3_1(X1))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(growth_rate(efficient_producers,esk2_2(X1,X2)),growth_rate(first_movers,esk2_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(23,plain,
( in_environment(X1,esk3_1(X1))
| greater_or_equal(esk2_2(X1,X2),X2)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(24,plain,
( in_environment(X1,esk3_1(X1))
| subpopulations(first_movers,efficient_producers,X1,esk2_2(X1,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(25,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,esk3_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ in_environment(X2,X3)
| ~ greater(growth_rate(efficient_producers,esk2_2(X2,X3)),growth_rate(first_movers,esk2_2(X2,X3))) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(26,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| greater_or_equal(esk2_2(X2,X3),X3)
| ~ greater(X1,esk3_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ in_environment(X2,X3) ),
inference(split_conjunct,[status(thm)],[18]) ).
cnf(27,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| subpopulations(first_movers,efficient_producers,X2,esk2_2(X2,X3))
| ~ greater(X1,esk3_1(X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2)
| ~ in_environment(X2,X3) ),
inference(split_conjunct,[status(thm)],[18]) ).
fof(28,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(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(29,plain,
! [X4] :
( ~ environment(X4)
| ~ stable(X4)
| ? [X5] :
( in_environment(X4,X5)
& ! [X6] :
( ~ subpopulations(first_movers,efficient_producers,X4,X6)
| ~ greater_or_equal(X6,X5)
| greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6)) ) ) ),
inference(variable_rename,[status(thm)],[28]) ).
fof(30,plain,
! [X4] :
( ~ environment(X4)
| ~ stable(X4)
| ( in_environment(X4,esk4_1(X4))
& ! [X6] :
( ~ subpopulations(first_movers,efficient_producers,X4,X6)
| ~ greater_or_equal(X6,esk4_1(X4))
| greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6)) ) ) ),
inference(skolemize,[status(esa)],[29]) ).
fof(31,plain,
! [X4,X6] :
( ( ( ~ subpopulations(first_movers,efficient_producers,X4,X6)
| ~ greater_or_equal(X6,esk4_1(X4))
| greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6)) )
& in_environment(X4,esk4_1(X4)) )
| ~ environment(X4)
| ~ stable(X4) ),
inference(shift_quantors,[status(thm)],[30]) ).
fof(32,plain,
! [X4,X6] :
( ( ~ subpopulations(first_movers,efficient_producers,X4,X6)
| ~ greater_or_equal(X6,esk4_1(X4))
| greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6))
| ~ environment(X4)
| ~ stable(X4) )
& ( in_environment(X4,esk4_1(X4))
| ~ environment(X4)
| ~ stable(X4) ) ),
inference(distribute,[status(thm)],[31]) ).
cnf(33,plain,
( in_environment(X1,esk4_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[32]) ).
cnf(34,plain,
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ stable(X1)
| ~ environment(X1)
| ~ greater_or_equal(X2,esk4_1(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(split_conjunct,[status(thm)],[32]) ).
fof(35,plain,
! [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_nnf,[status(thm)],[7]) ).
fof(36,plain,
! [X4,X5] :
( ~ environment(X4)
| greater(growth_rate(efficient_producers,X5),growth_rate(first_movers,X5))
| ~ in_environment(X4,X5)
| ? [X6] :
( subpopulations(first_movers,efficient_producers,X4,X6)
& greater(X6,X5)
& ~ greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6)) )
| X5 = critical_point(X4) ),
inference(variable_rename,[status(thm)],[35]) ).
fof(37,plain,
! [X4,X5] :
( ~ environment(X4)
| greater(growth_rate(efficient_producers,X5),growth_rate(first_movers,X5))
| ~ in_environment(X4,X5)
| ( subpopulations(first_movers,efficient_producers,X4,esk5_2(X4,X5))
& greater(esk5_2(X4,X5),X5)
& ~ greater(growth_rate(efficient_producers,esk5_2(X4,X5)),growth_rate(first_movers,esk5_2(X4,X5))) )
| X5 = critical_point(X4) ),
inference(skolemize,[status(esa)],[36]) ).
fof(38,plain,
! [X4,X5] :
( ( subpopulations(first_movers,efficient_producers,X4,esk5_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(esk5_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,esk5_2(X4,X5)),growth_rate(first_movers,esk5_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)],[37]) ).
cnf(39,plain,
( X1 = critical_point(X2)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X2,X1)
| ~ environment(X2)
| ~ greater(growth_rate(efficient_producers,esk5_2(X2,X1)),growth_rate(first_movers,esk5_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(40,plain,
( X1 = critical_point(X2)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| greater(esk5_2(X2,X1),X1)
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(41,plain,
( X1 = critical_point(X2)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| subpopulations(first_movers,efficient_producers,X2,esk5_2(X2,X1))
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[38]) ).
cnf(43,plain,
( greater_or_equal(esk2_2(X1,esk4_1(X1)),esk4_1(X1))
| in_environment(X1,esk3_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(spm,[status(thm)],[23,33,theory(equality)]) ).
cnf(45,plain,
( greater(growth_rate(efficient_producers,esk2_2(X1,X2)),growth_rate(first_movers,esk2_2(X1,X2)))
| in_environment(X1,esk3_1(X1))
| ~ greater_or_equal(esk2_2(X1,X2),esk4_1(X1))
| ~ stable(X1)
| ~ environment(X1)
| ~ in_environment(X1,X2) ),
inference(spm,[status(thm)],[34,24,theory(equality)]) ).
cnf(51,plain,
( in_environment(X1,esk3_1(X1))
| ~ greater_or_equal(esk2_2(X1,X2),esk4_1(X1))
| ~ in_environment(X1,X2)
| ~ stable(X1)
| ~ environment(X1) ),
inference(csr,[status(thm)],[45,22]) ).
cnf(52,plain,
( in_environment(X1,esk3_1(X1))
| ~ in_environment(X1,esk4_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(spm,[status(thm)],[51,43,theory(equality)]) ).
cnf(53,plain,
( in_environment(X1,esk3_1(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(csr,[status(thm)],[52,33]) ).
cnf(54,plain,
( critical_point(X1) = esk3_1(X1)
| greater(growth_rate(efficient_producers,esk3_1(X1)),growth_rate(first_movers,esk3_1(X1)))
| greater(esk5_2(X1,esk3_1(X1)),esk3_1(X1))
| ~ environment(X1)
| ~ stable(X1) ),
inference(spm,[status(thm)],[40,53,theory(equality)]) ).
cnf(56,plain,
( critical_point(X1) = esk3_1(X1)
| greater(growth_rate(efficient_producers,esk3_1(X1)),growth_rate(first_movers,esk3_1(X1)))
| subpopulations(first_movers,efficient_producers,X1,esk5_2(X1,esk3_1(X1)))
| ~ environment(X1)
| ~ stable(X1) ),
inference(spm,[status(thm)],[41,53,theory(equality)]) ).
cnf(58,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[54,12,theory(equality)]) ).
cnf(59,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[58,13,theory(equality)]) ).
cnf(60,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0)) ),
inference(cn,[status(thm)],[59,theory(equality)]) ).
cnf(61,negated_conjecture,
( greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[20,60,theory(equality)]) ).
cnf(62,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[21,60,theory(equality)]) ).
cnf(63,negated_conjecture,
( greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1)
| $false ),
inference(rw,[status(thm)],[61,13,theory(equality)]) ).
cnf(64,negated_conjecture,
( greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1) ),
inference(cn,[status(thm)],[63,theory(equality)]) ).
cnf(65,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1)
| $false ),
inference(rw,[status(thm)],[62,13,theory(equality)]) ).
cnf(66,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1) ),
inference(cn,[status(thm)],[65,theory(equality)]) ).
cnf(99,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[56,12,theory(equality)]) ).
cnf(100,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| $false ),
inference(rw,[status(thm)],[99,13,theory(equality)]) ).
cnf(101,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0))) ),
inference(cn,[status(thm)],[100,theory(equality)]) ).
cnf(105,negated_conjecture,
( greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| ~ in_environment(esk1_0,X1)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[20,101,theory(equality)]) ).
cnf(106,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| ~ in_environment(esk1_0,X1)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[21,101,theory(equality)]) ).
cnf(107,negated_conjecture,
( greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| ~ in_environment(esk1_0,X1)
| $false ),
inference(rw,[status(thm)],[105,13,theory(equality)]) ).
cnf(108,negated_conjecture,
( greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| ~ in_environment(esk1_0,X1) ),
inference(cn,[status(thm)],[107,theory(equality)]) ).
cnf(109,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| ~ in_environment(esk1_0,X1)
| $false ),
inference(rw,[status(thm)],[106,13,theory(equality)]) ).
cnf(110,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| ~ in_environment(esk1_0,X1) ),
inference(cn,[status(thm)],[109,theory(equality)]) ).
cnf(111,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[108,33,theory(equality)]) ).
cnf(113,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[111,12,theory(equality)]) ).
cnf(114,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| $false
| $false ),
inference(rw,[status(thm)],[113,13,theory(equality)]) ).
cnf(115,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0))) ),
inference(cn,[status(thm)],[114,theory(equality)]) ).
cnf(120,plain,
( greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[26,115,theory(equality)]) ).
cnf(125,plain,
( greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1)
| $false ),
inference(rw,[status(thm)],[120,13,theory(equality)]) ).
cnf(126,plain,
( greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1) ),
inference(cn,[status(thm)],[125,theory(equality)]) ).
cnf(145,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[110,33,theory(equality)]) ).
cnf(147,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[145,12,theory(equality)]) ).
cnf(148,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| $false
| $false ),
inference(rw,[status(thm)],[147,13,theory(equality)]) ).
cnf(149,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0))) ),
inference(cn,[status(thm)],[148,theory(equality)]) ).
cnf(155,plain,
( greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[27,149,theory(equality)]) ).
cnf(161,plain,
( greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1)
| $false ),
inference(rw,[status(thm)],[155,13,theory(equality)]) ).
cnf(162,plain,
( greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,X1) ),
inference(cn,[status(thm)],[161,theory(equality)]) ).
cnf(209,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| greater_or_equal(esk2_2(esk1_0,X1),X1)
| ~ in_environment(esk1_0,X1) ),
inference(csr,[status(thm)],[126,64]) ).
cnf(210,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[209,33,theory(equality)]) ).
cnf(212,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[210,12,theory(equality)]) ).
cnf(213,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| $false
| $false ),
inference(rw,[status(thm)],[212,13,theory(equality)]) ).
cnf(214,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0)) ),
inference(cn,[status(thm)],[213,theory(equality)]) ).
cnf(218,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ in_environment(esk1_0,esk3_1(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[39,214,theory(equality)]) ).
cnf(219,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ in_environment(esk1_0,esk3_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[218,13,theory(equality)]) ).
cnf(220,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ in_environment(esk1_0,esk3_1(esk1_0)) ),
inference(cn,[status(thm)],[219,theory(equality)]) ).
cnf(221,plain,
( greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ in_environment(esk1_0,X1)
| ~ environment(esk1_0)
| ~ in_environment(esk1_0,esk3_1(esk1_0)) ),
inference(spm,[status(thm)],[20,220,theory(equality)]) ).
cnf(223,plain,
( greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ in_environment(esk1_0,X1)
| $false
| ~ in_environment(esk1_0,esk3_1(esk1_0)) ),
inference(rw,[status(thm)],[221,13,theory(equality)]) ).
cnf(224,plain,
( greater_or_equal(esk2_2(esk1_0,X1),X1)
| critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ in_environment(esk1_0,X1)
| ~ in_environment(esk1_0,esk3_1(esk1_0)) ),
inference(cn,[status(thm)],[223,theory(equality)]) ).
cnf(230,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| greater_or_equal(esk2_2(esk1_0,X1),X1)
| ~ in_environment(esk1_0,X1)
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[224,53,theory(equality)]) ).
cnf(231,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| greater_or_equal(esk2_2(esk1_0,X1),X1)
| ~ in_environment(esk1_0,X1)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[230,12,theory(equality)]) ).
cnf(232,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| greater_or_equal(esk2_2(esk1_0,X1),X1)
| ~ in_environment(esk1_0,X1)
| $false
| $false ),
inference(rw,[status(thm)],[231,13,theory(equality)]) ).
cnf(233,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| greater_or_equal(esk2_2(esk1_0,X1),X1)
| ~ in_environment(esk1_0,X1) ),
inference(cn,[status(thm)],[232,theory(equality)]) ).
cnf(234,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[233,33,theory(equality)]) ).
cnf(236,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[234,12,theory(equality)]) ).
cnf(237,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| $false
| $false ),
inference(rw,[status(thm)],[236,13,theory(equality)]) ).
cnf(238,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0)) ),
inference(cn,[status(thm)],[237,theory(equality)]) ).
cnf(298,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| ~ in_environment(esk1_0,X1) ),
inference(csr,[status(thm)],[162,66]) ).
cnf(299,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[298,33,theory(equality)]) ).
cnf(301,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[299,12,theory(equality)]) ).
cnf(302,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| $false
| $false ),
inference(rw,[status(thm)],[301,13,theory(equality)]) ).
cnf(303,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk5_2(esk1_0,esk3_1(esk1_0))),growth_rate(first_movers,esk5_2(esk1_0,esk3_1(esk1_0))))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0))) ),
inference(cn,[status(thm)],[302,theory(equality)]) ).
cnf(307,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ in_environment(esk1_0,esk3_1(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[39,303,theory(equality)]) ).
cnf(308,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ in_environment(esk1_0,esk3_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[307,13,theory(equality)]) ).
cnf(309,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ in_environment(esk1_0,esk3_1(esk1_0)) ),
inference(cn,[status(thm)],[308,theory(equality)]) ).
cnf(311,plain,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ in_environment(esk1_0,X1)
| ~ environment(esk1_0)
| ~ in_environment(esk1_0,esk3_1(esk1_0)) ),
inference(spm,[status(thm)],[21,309,theory(equality)]) ).
cnf(314,plain,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ in_environment(esk1_0,X1)
| $false
| ~ in_environment(esk1_0,esk3_1(esk1_0)) ),
inference(rw,[status(thm)],[311,13,theory(equality)]) ).
cnf(315,plain,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ in_environment(esk1_0,X1)
| ~ in_environment(esk1_0,esk3_1(esk1_0)) ),
inference(cn,[status(thm)],[314,theory(equality)]) ).
cnf(332,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| ~ in_environment(esk1_0,X1)
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[315,53,theory(equality)]) ).
cnf(333,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| ~ in_environment(esk1_0,X1)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[332,12,theory(equality)]) ).
cnf(334,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| ~ in_environment(esk1_0,X1)
| $false
| $false ),
inference(rw,[status(thm)],[333,13,theory(equality)]) ).
cnf(335,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,X1))
| ~ in_environment(esk1_0,X1) ),
inference(cn,[status(thm)],[334,theory(equality)]) ).
cnf(348,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[335,33,theory(equality)]) ).
cnf(350,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[348,12,theory(equality)]) ).
cnf(351,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0)))
| $false
| $false ),
inference(rw,[status(thm)],[350,13,theory(equality)]) ).
cnf(352,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_2(esk1_0,esk4_1(esk1_0))) ),
inference(cn,[status(thm)],[351,theory(equality)]) ).
cnf(356,plain,
( greater(growth_rate(efficient_producers,esk2_2(esk1_0,esk4_1(esk1_0))),growth_rate(first_movers,esk2_2(esk1_0,esk4_1(esk1_0))))
| critical_point(esk1_0) = esk3_1(esk1_0)
| ~ greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[34,352,theory(equality)]) ).
cnf(359,plain,
( greater(growth_rate(efficient_producers,esk2_2(esk1_0,esk4_1(esk1_0))),growth_rate(first_movers,esk2_2(esk1_0,esk4_1(esk1_0))))
| critical_point(esk1_0) = esk3_1(esk1_0)
| ~ greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[356,12,theory(equality)]) ).
cnf(360,plain,
( greater(growth_rate(efficient_producers,esk2_2(esk1_0,esk4_1(esk1_0))),growth_rate(first_movers,esk2_2(esk1_0,esk4_1(esk1_0))))
| critical_point(esk1_0) = esk3_1(esk1_0)
| ~ greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0))
| $false
| $false ),
inference(rw,[status(thm)],[359,13,theory(equality)]) ).
cnf(361,plain,
( greater(growth_rate(efficient_producers,esk2_2(esk1_0,esk4_1(esk1_0))),growth_rate(first_movers,esk2_2(esk1_0,esk4_1(esk1_0))))
| critical_point(esk1_0) = esk3_1(esk1_0)
| ~ greater_or_equal(esk2_2(esk1_0,esk4_1(esk1_0)),esk4_1(esk1_0)) ),
inference(cn,[status(thm)],[360,theory(equality)]) ).
cnf(372,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk2_2(esk1_0,esk4_1(esk1_0))),growth_rate(first_movers,esk2_2(esk1_0,esk4_1(esk1_0)))) ),
inference(csr,[status(thm)],[361,238]) ).
cnf(373,plain,
( in_environment(esk1_0,esk3_1(esk1_0))
| critical_point(esk1_0) = esk3_1(esk1_0)
| ~ in_environment(esk1_0,esk4_1(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[22,372,theory(equality)]) ).
cnf(374,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| ~ greater(X1,esk3_1(esk1_0))
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ in_environment(esk1_0,esk4_1(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[25,372,theory(equality)]) ).
cnf(375,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| ~ greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| ~ in_environment(esk1_0,esk4_1(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[19,372,theory(equality)]) ).
cnf(376,plain,
( in_environment(esk1_0,esk3_1(esk1_0))
| critical_point(esk1_0) = esk3_1(esk1_0)
| ~ in_environment(esk1_0,esk4_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[373,13,theory(equality)]) ).
cnf(377,plain,
( in_environment(esk1_0,esk3_1(esk1_0))
| critical_point(esk1_0) = esk3_1(esk1_0)
| ~ in_environment(esk1_0,esk4_1(esk1_0)) ),
inference(cn,[status(thm)],[376,theory(equality)]) ).
cnf(378,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| ~ greater(X1,esk3_1(esk1_0))
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ in_environment(esk1_0,esk4_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[374,13,theory(equality)]) ).
cnf(379,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(esk1_0) = esk3_1(esk1_0)
| ~ greater(X1,esk3_1(esk1_0))
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ in_environment(esk1_0,esk4_1(esk1_0)) ),
inference(cn,[status(thm)],[378,theory(equality)]) ).
cnf(380,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| ~ greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| ~ in_environment(esk1_0,esk4_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[375,13,theory(equality)]) ).
cnf(381,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| ~ greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| ~ in_environment(esk1_0,esk4_1(esk1_0)) ),
inference(cn,[status(thm)],[380,theory(equality)]) ).
cnf(383,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(esk1_0,esk3_1(esk1_0)))
| ~ in_environment(esk1_0,esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[381,101,theory(equality)]) ).
cnf(385,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| in_environment(esk1_0,esk3_1(esk1_0))
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[377,33,theory(equality)]) ).
cnf(386,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| in_environment(esk1_0,esk3_1(esk1_0))
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[385,12,theory(equality)]) ).
cnf(387,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| in_environment(esk1_0,esk3_1(esk1_0))
| $false
| $false ),
inference(rw,[status(thm)],[386,13,theory(equality)]) ).
cnf(388,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| in_environment(esk1_0,esk3_1(esk1_0)) ),
inference(cn,[status(thm)],[387,theory(equality)]) ).
cnf(510,plain,
( critical_point(X1) = X2
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| critical_point(esk1_0) = esk3_1(esk1_0)
| ~ in_environment(X1,X2)
| ~ environment(X1)
| ~ greater(esk5_2(X1,X2),esk3_1(esk1_0))
| ~ subpopulations(first_movers,efficient_producers,esk1_0,esk5_2(X1,X2))
| ~ in_environment(esk1_0,esk4_1(esk1_0)) ),
inference(spm,[status(thm)],[39,379,theory(equality)]) ).
cnf(609,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| ~ greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,esk4_1(esk1_0))
| ~ in_environment(esk1_0,esk3_1(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[510,383,theory(equality)]) ).
cnf(611,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| ~ greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,esk4_1(esk1_0))
| ~ in_environment(esk1_0,esk3_1(esk1_0))
| $false ),
inference(rw,[status(thm)],[609,13,theory(equality)]) ).
cnf(612,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| ~ greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,esk4_1(esk1_0))
| ~ in_environment(esk1_0,esk3_1(esk1_0)) ),
inference(cn,[status(thm)],[611,theory(equality)]) ).
cnf(615,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| ~ greater(esk5_2(esk1_0,esk3_1(esk1_0)),esk3_1(esk1_0))
| ~ in_environment(esk1_0,esk4_1(esk1_0)) ),
inference(csr,[status(thm)],[612,388]) ).
cnf(616,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| greater(growth_rate(efficient_producers,esk3_1(esk1_0)),growth_rate(first_movers,esk3_1(esk1_0)))
| ~ in_environment(esk1_0,esk4_1(esk1_0)) ),
inference(csr,[status(thm)],[615,60]) ).
cnf(617,negated_conjecture,
( critical_point(esk1_0) = esk3_1(esk1_0)
| ~ in_environment(esk1_0,esk4_1(esk1_0)) ),
inference(csr,[status(thm)],[616,381]) ).
cnf(618,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[617,33,theory(equality)]) ).
cnf(619,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[618,12,theory(equality)]) ).
cnf(620,plain,
( critical_point(esk1_0) = esk3_1(esk1_0)
| $false
| $false ),
inference(rw,[status(thm)],[619,13,theory(equality)]) ).
cnf(621,plain,
critical_point(esk1_0) = esk3_1(esk1_0),
inference(cn,[status(thm)],[620,theory(equality)]) ).
cnf(622,negated_conjecture,
~ in_environment(esk1_0,esk3_1(esk1_0)),
inference(rw,[status(thm)],[11,621,theory(equality)]) ).
cnf(649,plain,
( ~ stable(esk1_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[622,53,theory(equality)]) ).
cnf(650,plain,
( $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[649,12,theory(equality)]) ).
cnf(651,plain,
( $false
| $false ),
inference(rw,[status(thm)],[650,13,theory(equality)]) ).
cnf(652,plain,
$false,
inference(cn,[status(thm)],[651,theory(equality)]) ).
cnf(653,plain,
$false,
652,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% /home/graph/tptp/Systems/SInE---0.4/Source/sine.py:10: DeprecationWarning: the sets module is deprecated
% from sets import Set
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT023+2.p
% --creating new selector for []
% -running prover on /tmp/tmpeethND/sel_MGT023+2.p_1 with time limit 29
% -prover status Theorem
% Problem MGT023+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT023+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT023+2.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
%
%------------------------------------------------------------------------------