TSTP Solution File: MGT034+2 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT034+2 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 21:05:52 EST 2010
% Result : Theorem 0.56s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 68
% Number of leaves : 17
% Syntax : Number of formulae : 177 ( 18 unt; 0 def)
% Number of atoms : 643 ( 44 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 794 ( 328 ~; 377 |; 64 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 216 ( 0 sgn 119 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> subpopulations(efficient_producers,first_movers,X1,X2) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp_symmetry_of_subpopulations) ).
fof(2,axiom,
! [X2] :
( ( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
& ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) )
=> decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp_difference_between_founding_rates) ).
fof(4,axiom,
! [X1,X3,X4,X2] :
( ( environment(X1)
& subpopulations(X3,X4,X1,X2)
& greater(growth_rate(X4,X2),growth_rate(X3,X2)) )
=> selection_favors(X4,X3,X2) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp1_high_growth_rates) ).
fof(5,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2))) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',a12) ).
fof(6,axiom,
! [X2] :
( greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
<=> greater(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp_positive_growth_rate_difference) ).
fof(7,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,critical_point(X1))
& greater_or_equal(X2,appear(efficient_producers,X1))
& greater(critical_point(X1),X2) )
=> in_environment(X1,X2) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp_critical_time_points) ).
fof(9,axiom,
! [X1,X2,X5] :
( ( environment(X1)
& in_environment(X1,X5)
& greater_or_equal(difference(growth_rate(first_movers,X5),growth_rate(efficient_producers,X5)),zero)
& greater_or_equal(X2,appear(efficient_producers,X1))
& greater(X5,X2) )
=> ( decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
=> greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero) ) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp_decreasing_function) ).
fof(10,conjecture,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,critical_point(X1))
& greater_or_equal(X2,appear(efficient_producers,X1))
& greater(critical_point(X1),X2) )
=> selection_favors(first_movers,efficient_producers,X2) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',prove_t3) ).
fof(11,axiom,
! [X1] :
( ( environment(X1)
& in_environment(X1,critical_point(X1)) )
=> subpopulations(first_movers,efficient_producers,X1,critical_point(X1)) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp_critical_point_means_FM_and_EP) ).
fof(12,axiom,
! [X1] :
( ( environment(X1)
& in_environment(X1,appear(efficient_producers,X1)) )
=> subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1)) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp_FM_and_EP_when_EP_appears) ).
fof(13,axiom,
! [X2] :
( greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
<=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp_negative_growth_rate_difference) ).
fof(14,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',l3) ).
fof(15,axiom,
! [X6,X7] :
( greater_or_equal(X6,X7)
<=> ( greater(X6,X7)
| X6 = X7 ) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp_greater_or_equal) ).
fof(16,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& ~ greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) )
=> greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp_relationship_of_growth_rates) ).
fof(19,axiom,
! [X1,X8,X9,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X8)
& subpopulations(first_movers,efficient_producers,X1,X9)
& greater_or_equal(X2,X8)
& greater_or_equal(X9,X2) )
=> subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',a10) ).
fof(20,axiom,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> greater_or_equal(X2,appear(efficient_producers,X1)) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',mp_FM_and_EP_members_EP_appeared) ).
fof(21,axiom,
! [X1,X10] :
( ( environment(X1)
& X10 = critical_point(X1) )
=> ( ~ greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& greater(X2,X10) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
file('/tmp/tmpYsk-HM/sel_MGT034+2.p_1',d1) ).
fof(22,negated_conjecture,
~ ! [X1,X2] :
( ( environment(X1)
& in_environment(X1,critical_point(X1))
& greater_or_equal(X2,appear(efficient_producers,X1))
& greater(critical_point(X1),X2) )
=> selection_favors(first_movers,efficient_producers,X2) ),
inference(assume_negation,[status(cth)],[10]) ).
fof(23,plain,
! [X2] :
( ( decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
& ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) )
=> decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) ),
inference(fof_simplification,[status(thm)],[2,theory(equality)]) ).
fof(24,plain,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
inference(fof_simplification,[status(thm)],[14,theory(equality)]) ).
fof(25,plain,
! [X1,X2] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X2)
& ~ greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) )
=> greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero) ),
inference(fof_simplification,[status(thm)],[16,theory(equality)]) ).
fof(26,plain,
! [X1,X10] :
( ( environment(X1)
& X10 = critical_point(X1) )
=> ( ~ greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& greater(X2,X10) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[21,theory(equality)]) ).
fof(27,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| subpopulations(efficient_producers,first_movers,X1,X2) ),
inference(fof_nnf,[status(thm)],[1]) ).
fof(28,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| subpopulations(efficient_producers,first_movers,X3,X4) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,plain,
( subpopulations(efficient_producers,first_movers,X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[28]) ).
fof(30,plain,
! [X2] :
( ~ decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2)))
| decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)))
| decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) ),
inference(fof_nnf,[status(thm)],[23]) ).
fof(31,plain,
! [X3] :
( ~ decreases(difference(founding_rate(first_movers,X3),founding_rate(efficient_producers,X3)))
| decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))
| decreases(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ),
inference(variable_rename,[status(thm)],[30]) ).
cnf(32,plain,
( decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1))) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(36,plain,
! [X1,X3,X4,X2] :
( ~ environment(X1)
| ~ subpopulations(X3,X4,X1,X2)
| ~ greater(growth_rate(X4,X2),growth_rate(X3,X2))
| selection_favors(X4,X3,X2) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(37,plain,
! [X5,X6,X7,X8] :
( ~ environment(X5)
| ~ subpopulations(X6,X7,X5,X8)
| ~ greater(growth_rate(X7,X8),growth_rate(X6,X8))
| selection_favors(X7,X6,X8) ),
inference(variable_rename,[status(thm)],[36]) ).
cnf(38,plain,
( selection_favors(X1,X2,X3)
| ~ greater(growth_rate(X1,X3),growth_rate(X2,X3))
| ~ subpopulations(X2,X1,X4,X3)
| ~ environment(X4) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(39,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| decreases(difference(founding_rate(first_movers,X2),founding_rate(efficient_producers,X2))) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(40,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| decreases(difference(founding_rate(first_movers,X4),founding_rate(efficient_producers,X4))) ),
inference(variable_rename,[status(thm)],[39]) ).
cnf(41,plain,
( decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,plain,
! [X2] :
( ( ~ greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| greater(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)) )
& ( ~ greater(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))
| greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero) ) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(43,plain,
! [X3] :
( ( ~ greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero)
| greater(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)) )
& ( ~ greater(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))
| greater(difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)),zero) ) ),
inference(variable_rename,[status(thm)],[42]) ).
cnf(45,plain,
( greater(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))
| ~ greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero) ),
inference(split_conjunct,[status(thm)],[43]) ).
fof(46,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ greater(critical_point(X1),X2)
| in_environment(X1,X2) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(47,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,critical_point(X3))
| ~ greater_or_equal(X4,appear(efficient_producers,X3))
| ~ greater(critical_point(X3),X4)
| in_environment(X3,X4) ),
inference(variable_rename,[status(thm)],[46]) ).
cnf(48,plain,
( in_environment(X1,X2)
| ~ greater(critical_point(X1),X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[47]) ).
fof(52,plain,
! [X1,X2,X5] :
( ~ environment(X1)
| ~ in_environment(X1,X5)
| ~ greater_or_equal(difference(growth_rate(first_movers,X5),growth_rate(efficient_producers,X5)),zero)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ greater(X5,X2)
| ~ decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(53,plain,
! [X6,X7,X8] :
( ~ environment(X6)
| ~ in_environment(X6,X8)
| ~ greater_or_equal(difference(growth_rate(first_movers,X8),growth_rate(efficient_producers,X8)),zero)
| ~ greater_or_equal(X7,appear(efficient_producers,X6))
| ~ greater(X8,X7)
| ~ decreases(difference(growth_rate(first_movers,X7),growth_rate(efficient_producers,X7)))
| greater(difference(growth_rate(first_movers,X7),growth_rate(efficient_producers,X7)),zero) ),
inference(variable_rename,[status(thm)],[52]) ).
cnf(54,plain,
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ greater(X2,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X3))
| ~ greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ in_environment(X3,X2)
| ~ environment(X3) ),
inference(split_conjunct,[status(thm)],[53]) ).
fof(55,negated_conjecture,
? [X1,X2] :
( environment(X1)
& in_environment(X1,critical_point(X1))
& greater_or_equal(X2,appear(efficient_producers,X1))
& greater(critical_point(X1),X2)
& ~ selection_favors(first_movers,efficient_producers,X2) ),
inference(fof_nnf,[status(thm)],[22]) ).
fof(56,negated_conjecture,
? [X3,X4] :
( environment(X3)
& in_environment(X3,critical_point(X3))
& greater_or_equal(X4,appear(efficient_producers,X3))
& greater(critical_point(X3),X4)
& ~ selection_favors(first_movers,efficient_producers,X4) ),
inference(variable_rename,[status(thm)],[55]) ).
fof(57,negated_conjecture,
( environment(esk1_0)
& in_environment(esk1_0,critical_point(esk1_0))
& greater_or_equal(esk2_0,appear(efficient_producers,esk1_0))
& greater(critical_point(esk1_0),esk2_0)
& ~ selection_favors(first_movers,efficient_producers,esk2_0) ),
inference(skolemize,[status(esa)],[56]) ).
cnf(58,negated_conjecture,
~ selection_favors(first_movers,efficient_producers,esk2_0),
inference(split_conjunct,[status(thm)],[57]) ).
cnf(59,negated_conjecture,
greater(critical_point(esk1_0),esk2_0),
inference(split_conjunct,[status(thm)],[57]) ).
cnf(60,negated_conjecture,
greater_or_equal(esk2_0,appear(efficient_producers,esk1_0)),
inference(split_conjunct,[status(thm)],[57]) ).
cnf(61,negated_conjecture,
in_environment(esk1_0,critical_point(esk1_0)),
inference(split_conjunct,[status(thm)],[57]) ).
cnf(62,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[57]) ).
fof(63,plain,
! [X1] :
( ~ environment(X1)
| ~ in_environment(X1,critical_point(X1))
| subpopulations(first_movers,efficient_producers,X1,critical_point(X1)) ),
inference(fof_nnf,[status(thm)],[11]) ).
fof(64,plain,
! [X2] :
( ~ environment(X2)
| ~ in_environment(X2,critical_point(X2))
| subpopulations(first_movers,efficient_producers,X2,critical_point(X2)) ),
inference(variable_rename,[status(thm)],[63]) ).
cnf(65,plain,
( subpopulations(first_movers,efficient_producers,X1,critical_point(X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[64]) ).
fof(66,plain,
! [X1] :
( ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1))
| subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1)) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(67,plain,
! [X2] :
( ~ environment(X2)
| ~ in_environment(X2,appear(efficient_producers,X2))
| subpopulations(first_movers,efficient_producers,X2,appear(efficient_producers,X2)) ),
inference(variable_rename,[status(thm)],[66]) ).
cnf(68,plain,
( subpopulations(first_movers,efficient_producers,X1,appear(efficient_producers,X1))
| ~ in_environment(X1,appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[67]) ).
fof(69,plain,
! [X2] :
( ( ~ greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2))) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(70,plain,
! [X3] :
( ( ~ greater(zero,difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3)))
| greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& ( ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| greater(zero,difference(growth_rate(first_movers,X3),growth_rate(efficient_producers,X3))) ) ),
inference(variable_rename,[status(thm)],[69]) ).
cnf(72,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1))) ),
inference(split_conjunct,[status(thm)],[70]) ).
fof(73,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ decreases(difference(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))) ),
inference(fof_nnf,[status(thm)],[24]) ).
fof(74,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| ~ decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) ),
inference(variable_rename,[status(thm)],[73]) ).
cnf(75,plain,
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[74]) ).
fof(76,plain,
! [X6,X7] :
( ( ~ greater_or_equal(X6,X7)
| greater(X6,X7)
| X6 = X7 )
& ( ( ~ greater(X6,X7)
& X6 != X7 )
| greater_or_equal(X6,X7) ) ),
inference(fof_nnf,[status(thm)],[15]) ).
fof(77,plain,
! [X8,X9] :
( ( ~ greater_or_equal(X8,X9)
| greater(X8,X9)
| X8 = X9 )
& ( ( ~ greater(X8,X9)
& X8 != X9 )
| greater_or_equal(X8,X9) ) ),
inference(variable_rename,[status(thm)],[76]) ).
fof(78,plain,
! [X8,X9] :
( ( ~ greater_or_equal(X8,X9)
| greater(X8,X9)
| X8 = X9 )
& ( ~ greater(X8,X9)
| greater_or_equal(X8,X9) )
& ( X8 != X9
| greater_or_equal(X8,X9) ) ),
inference(distribute,[status(thm)],[77]) ).
cnf(79,plain,
( greater_or_equal(X1,X2)
| X1 != X2 ),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(80,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[78]) ).
cnf(81,plain,
( X1 = X2
| greater(X1,X2)
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[78]) ).
fof(82,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| greater(zero,difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| greater_or_equal(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero) ),
inference(fof_nnf,[status(thm)],[25]) ).
fof(83,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| greater(zero,difference(growth_rate(first_movers,X4),growth_rate(efficient_producers,X4)))
| greater_or_equal(difference(growth_rate(first_movers,X4),growth_rate(efficient_producers,X4)),zero) ),
inference(variable_rename,[status(thm)],[82]) ).
cnf(84,plain,
( greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[83]) ).
fof(91,plain,
! [X1,X8,X9,X2] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X8)
| ~ subpopulations(first_movers,efficient_producers,X1,X9)
| ~ greater_or_equal(X2,X8)
| ~ greater_or_equal(X9,X2)
| subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(fof_nnf,[status(thm)],[19]) ).
fof(92,plain,
! [X10,X11,X12,X13] :
( ~ environment(X10)
| ~ subpopulations(first_movers,efficient_producers,X10,X11)
| ~ subpopulations(first_movers,efficient_producers,X10,X12)
| ~ greater_or_equal(X13,X11)
| ~ greater_or_equal(X12,X13)
| subpopulations(first_movers,efficient_producers,X10,X13) ),
inference(variable_rename,[status(thm)],[91]) ).
cnf(93,plain,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X3,X2)
| ~ greater_or_equal(X2,X4)
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ subpopulations(first_movers,efficient_producers,X1,X4)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[92]) ).
fof(94,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| greater_or_equal(X2,appear(efficient_producers,X1)) ),
inference(fof_nnf,[status(thm)],[20]) ).
fof(95,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X3,X4)
| greater_or_equal(X4,appear(efficient_producers,X3)) ),
inference(variable_rename,[status(thm)],[94]) ).
cnf(96,plain,
( greater_or_equal(X1,appear(efficient_producers,X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[95]) ).
fof(97,plain,
! [X1,X10] :
( ~ environment(X1)
| X10 != critical_point(X1)
| ( ~ greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
& ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,X10)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[26]) ).
fof(98,plain,
! [X11,X12] :
( ~ environment(X11)
| X12 != critical_point(X11)
| ( ~ greater(growth_rate(efficient_producers,X12),growth_rate(first_movers,X12))
& ! [X13] :
( ~ subpopulations(first_movers,efficient_producers,X11,X13)
| ~ greater(X13,X12)
| greater(growth_rate(efficient_producers,X13),growth_rate(first_movers,X13)) ) ) ),
inference(variable_rename,[status(thm)],[97]) ).
fof(99,plain,
! [X11,X12,X13] :
( ( ( ~ subpopulations(first_movers,efficient_producers,X11,X13)
| ~ greater(X13,X12)
| greater(growth_rate(efficient_producers,X13),growth_rate(first_movers,X13)) )
& ~ greater(growth_rate(efficient_producers,X12),growth_rate(first_movers,X12)) )
| ~ environment(X11)
| X12 != critical_point(X11) ),
inference(shift_quantors,[status(thm)],[98]) ).
fof(100,plain,
! [X11,X12,X13] :
( ( ~ subpopulations(first_movers,efficient_producers,X11,X13)
| ~ greater(X13,X12)
| greater(growth_rate(efficient_producers,X13),growth_rate(first_movers,X13))
| ~ environment(X11)
| X12 != critical_point(X11) )
& ( ~ greater(growth_rate(efficient_producers,X12),growth_rate(first_movers,X12))
| ~ environment(X11)
| X12 != critical_point(X11) ) ),
inference(distribute,[status(thm)],[99]) ).
cnf(101,plain,
( X1 != critical_point(X2)
| ~ environment(X2)
| ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(102,plain,
( greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
| X1 != critical_point(X2)
| ~ environment(X2)
| ~ greater(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X3) ),
inference(split_conjunct,[status(thm)],[100]) ).
cnf(103,plain,
greater_or_equal(X1,X1),
inference(er,[status(thm)],[79,theory(equality)]) ).
cnf(107,plain,
( X1 = appear(efficient_producers,X2)
| greater(X1,appear(efficient_producers,X2))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[81,96,theory(equality)]) ).
cnf(125,plain,
( greater(growth_rate(efficient_producers,critical_point(X1)),growth_rate(first_movers,critical_point(X1)))
| critical_point(X1) != X2
| ~ greater(critical_point(X1),X2)
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1)) ),
inference(spm,[status(thm)],[102,65,theory(equality)]) ).
cnf(127,plain,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X3,X2)
| ~ greater_or_equal(X2,critical_point(X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ environment(X1)
| ~ in_environment(X1,critical_point(X1)) ),
inference(spm,[status(thm)],[93,65,theory(equality)]) ).
cnf(128,plain,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X3,X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,X1,X3)
| ~ environment(X1)
| ~ in_environment(X1,appear(efficient_producers,X1)) ),
inference(spm,[status(thm)],[93,68,theory(equality)]) ).
cnf(133,plain,
( in_environment(X1,appear(efficient_producers,X1))
| ~ greater(critical_point(X1),appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[48,103,theory(equality)]) ).
cnf(137,plain,
( in_environment(X1,appear(efficient_producers,X1))
| critical_point(X1) = appear(efficient_producers,X1)
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,critical_point(X1)) ),
inference(spm,[status(thm)],[133,107,theory(equality)]) ).
cnf(161,plain,
( appear(efficient_producers,X1) = critical_point(X1)
| in_environment(X1,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(csr,[status(thm)],[137,65]) ).
cnf(181,negated_conjecture,
( greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0)))
| critical_point(esk1_0) != esk2_0
| ~ in_environment(esk1_0,critical_point(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[125,59,theory(equality)]) ).
cnf(183,negated_conjecture,
( greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0)))
| critical_point(esk1_0) != esk2_0
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[181,61,theory(equality)]) ).
cnf(184,negated_conjecture,
( greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0)))
| critical_point(esk1_0) != esk2_0
| $false
| $false ),
inference(rw,[status(thm)],[183,62,theory(equality)]) ).
cnf(185,negated_conjecture,
( greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0)))
| critical_point(esk1_0) != esk2_0 ),
inference(cn,[status(thm)],[184,theory(equality)]) ).
cnf(189,negated_conjecture,
( critical_point(X1) != critical_point(esk1_0)
| ~ environment(X1)
| critical_point(esk1_0) != esk2_0 ),
inference(spm,[status(thm)],[101,185,theory(equality)]) ).
cnf(192,negated_conjecture,
( critical_point(esk1_0) != esk2_0
| ~ environment(esk1_0) ),
inference(er,[status(thm)],[189,theory(equality)]) ).
cnf(193,negated_conjecture,
( critical_point(esk1_0) != esk2_0
| $false ),
inference(rw,[status(thm)],[192,62,theory(equality)]) ).
cnf(194,negated_conjecture,
critical_point(esk1_0) != esk2_0,
inference(cn,[status(thm)],[193,theory(equality)]) ).
cnf(197,plain,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,critical_point(X1))
| ~ greater_or_equal(critical_point(X1),X2)
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[127,65,theory(equality)]) ).
cnf(200,plain,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(critical_point(X1),X2)
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1)
| ~ greater(X2,critical_point(X1)) ),
inference(spm,[status(thm)],[197,80,theory(equality)]) ).
cnf(204,plain,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,critical_point(X1))
| ~ in_environment(X1,critical_point(X1))
| ~ environment(X1)
| ~ greater(critical_point(X1),X2) ),
inference(spm,[status(thm)],[200,80,theory(equality)]) ).
cnf(226,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ greater_or_equal(X1,esk2_0)
| ~ in_environment(esk1_0,appear(efficient_producers,esk1_0))
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[128,60,theory(equality)]) ).
cnf(230,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ greater_or_equal(X1,esk2_0)
| ~ in_environment(esk1_0,appear(efficient_producers,esk1_0))
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X1)
| $false ),
inference(rw,[status(thm)],[226,62,theory(equality)]) ).
cnf(231,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ greater_or_equal(X1,esk2_0)
| ~ in_environment(esk1_0,appear(efficient_producers,esk1_0))
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X1) ),
inference(cn,[status(thm)],[230,theory(equality)]) ).
cnf(236,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| ~ greater_or_equal(X1,esk2_0)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ in_environment(esk1_0,critical_point(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[231,161,theory(equality)]) ).
cnf(237,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| ~ greater_or_equal(X1,esk2_0)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X1)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[236,61,theory(equality)]) ).
cnf(238,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| ~ greater_or_equal(X1,esk2_0)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X1)
| $false
| $false ),
inference(rw,[status(thm)],[237,62,theory(equality)]) ).
cnf(239,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| ~ greater_or_equal(X1,esk2_0)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X1) ),
inference(cn,[status(thm)],[238,theory(equality)]) ).
cnf(240,negated_conjecture,
( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ greater_or_equal(critical_point(esk1_0),esk2_0)
| ~ in_environment(esk1_0,critical_point(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[239,65,theory(equality)]) ).
cnf(242,negated_conjecture,
( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ greater_or_equal(critical_point(esk1_0),esk2_0)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[240,61,theory(equality)]) ).
cnf(243,negated_conjecture,
( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ greater_or_equal(critical_point(esk1_0),esk2_0)
| $false
| $false ),
inference(rw,[status(thm)],[242,62,theory(equality)]) ).
cnf(244,negated_conjecture,
( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ greater_or_equal(critical_point(esk1_0),esk2_0) ),
inference(cn,[status(thm)],[243,theory(equality)]) ).
cnf(247,negated_conjecture,
( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ greater(critical_point(esk1_0),esk2_0) ),
inference(spm,[status(thm)],[244,80,theory(equality)]) ).
cnf(248,negated_conjecture,
( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[247,59,theory(equality)]) ).
cnf(249,negated_conjecture,
( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0) ),
inference(cn,[status(thm)],[248,theory(equality)]) ).
cnf(250,negated_conjecture,
( greater_or_equal(esk2_0,critical_point(esk1_0))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[60,249,theory(equality)]) ).
cnf(326,negated_conjecture,
( esk2_0 = critical_point(esk1_0)
| greater(esk2_0,critical_point(esk1_0))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0) ),
inference(spm,[status(thm)],[81,250,theory(equality)]) ).
cnf(331,negated_conjecture,
( greater(esk2_0,critical_point(esk1_0))
| subpopulations(first_movers,efficient_producers,esk1_0,esk2_0) ),
inference(sr,[status(thm)],[326,194,theory(equality)]) ).
cnf(339,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| ~ greater(critical_point(esk1_0),esk2_0)
| ~ in_environment(esk1_0,critical_point(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[204,331,theory(equality)]) ).
cnf(340,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| $false
| ~ in_environment(esk1_0,critical_point(esk1_0))
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[339,59,theory(equality)]) ).
cnf(341,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| $false
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[340,61,theory(equality)]) ).
cnf(342,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,esk2_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[341,62,theory(equality)]) ).
cnf(343,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,esk2_0),
inference(cn,[status(thm)],[342,theory(equality)]) ).
cnf(344,negated_conjecture,
( subpopulations(efficient_producers,first_movers,esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[29,343,theory(equality)]) ).
cnf(345,negated_conjecture,
( decreases(difference(founding_rate(first_movers,esk2_0),founding_rate(efficient_producers,esk2_0)))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[41,343,theory(equality)]) ).
cnf(347,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X2,X1)
| ~ greater_or_equal(X1,esk2_0)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X2)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[93,343,theory(equality)]) ).
cnf(355,negated_conjecture,
( subpopulations(efficient_producers,first_movers,esk1_0,esk2_0)
| $false ),
inference(rw,[status(thm)],[344,62,theory(equality)]) ).
cnf(356,negated_conjecture,
subpopulations(efficient_producers,first_movers,esk1_0,esk2_0),
inference(cn,[status(thm)],[355,theory(equality)]) ).
cnf(357,negated_conjecture,
( decreases(difference(founding_rate(first_movers,esk2_0),founding_rate(efficient_producers,esk2_0)))
| $false ),
inference(rw,[status(thm)],[345,62,theory(equality)]) ).
cnf(358,negated_conjecture,
decreases(difference(founding_rate(first_movers,esk2_0),founding_rate(efficient_producers,esk2_0))),
inference(cn,[status(thm)],[357,theory(equality)]) ).
cnf(361,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X2,X1)
| ~ greater_or_equal(X1,esk2_0)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X2)
| $false ),
inference(rw,[status(thm)],[347,62,theory(equality)]) ).
cnf(362,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X2,X1)
| ~ greater_or_equal(X1,esk2_0)
| ~ subpopulations(first_movers,efficient_producers,esk1_0,X2) ),
inference(cn,[status(thm)],[361,theory(equality)]) ).
cnf(370,negated_conjecture,
( decreases(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)))
| decreases(difference(disbanding_rate(first_movers,esk2_0),disbanding_rate(efficient_producers,esk2_0))) ),
inference(spm,[status(thm)],[32,358,theory(equality)]) ).
cnf(496,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X1,esk2_0)
| ~ greater_or_equal(critical_point(esk1_0),X1)
| ~ in_environment(esk1_0,critical_point(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[362,65,theory(equality)]) ).
cnf(500,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X1,esk2_0)
| ~ greater_or_equal(critical_point(esk1_0),X1)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[496,61,theory(equality)]) ).
cnf(501,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X1,esk2_0)
| ~ greater_or_equal(critical_point(esk1_0),X1)
| $false
| $false ),
inference(rw,[status(thm)],[500,62,theory(equality)]) ).
cnf(502,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X1,esk2_0)
| ~ greater_or_equal(critical_point(esk1_0),X1) ),
inference(cn,[status(thm)],[501,theory(equality)]) ).
cnf(505,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),esk2_0) ),
inference(spm,[status(thm)],[502,103,theory(equality)]) ).
cnf(513,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X1,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),X1)
| ~ in_environment(esk1_0,critical_point(esk1_0))
| ~ environment(esk1_0)
| ~ greater_or_equal(critical_point(esk1_0),esk2_0) ),
inference(spm,[status(thm)],[127,505,theory(equality)]) ).
cnf(527,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X1,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),X1)
| $false
| ~ environment(esk1_0)
| ~ greater_or_equal(critical_point(esk1_0),esk2_0) ),
inference(rw,[status(thm)],[513,61,theory(equality)]) ).
cnf(528,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X1,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),X1)
| $false
| $false
| ~ greater_or_equal(critical_point(esk1_0),esk2_0) ),
inference(rw,[status(thm)],[527,62,theory(equality)]) ).
cnf(529,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X1,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),X1)
| ~ greater_or_equal(critical_point(esk1_0),esk2_0) ),
inference(cn,[status(thm)],[528,theory(equality)]) ).
cnf(637,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X1,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),X1)
| ~ greater(critical_point(esk1_0),esk2_0) ),
inference(spm,[status(thm)],[529,80,theory(equality)]) ).
cnf(638,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X1,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),X1)
| $false ),
inference(rw,[status(thm)],[637,59,theory(equality)]) ).
cnf(639,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,X1)
| ~ greater_or_equal(X1,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),X1) ),
inference(cn,[status(thm)],[638,theory(equality)]) ).
cnf(640,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,critical_point(esk1_0))
| ~ greater_or_equal(critical_point(esk1_0),critical_point(esk1_0)) ),
inference(spm,[status(thm)],[639,103,theory(equality)]) ).
cnf(642,negated_conjecture,
( subpopulations(first_movers,efficient_producers,esk1_0,critical_point(esk1_0))
| $false ),
inference(rw,[status(thm)],[640,103,theory(equality)]) ).
cnf(643,negated_conjecture,
subpopulations(first_movers,efficient_producers,esk1_0,critical_point(esk1_0)),
inference(cn,[status(thm)],[642,theory(equality)]) ).
cnf(648,negated_conjecture,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[84,643,theory(equality)]) ).
cnf(666,negated_conjecture,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| $false ),
inference(rw,[status(thm)],[648,62,theory(equality)]) ).
cnf(667,negated_conjecture,
( greater_or_equal(difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0)))) ),
inference(cn,[status(thm)],[666,theory(equality)]) ).
cnf(1120,negated_conjecture,
( decreases(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)))
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[75,370,theory(equality)]) ).
cnf(1121,negated_conjecture,
( decreases(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[1120,343,theory(equality)]) ).
cnf(1124,negated_conjecture,
( decreases(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)))
| $false ),
inference(rw,[status(thm)],[1121,62,theory(equality)]) ).
cnf(1125,negated_conjecture,
decreases(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0))),
inference(cn,[status(thm)],[1124,theory(equality)]) ).
cnf(1292,negated_conjecture,
( greater(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ greater(critical_point(esk1_0),X1)
| ~ in_environment(X2,critical_point(esk1_0))
| ~ decreases(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ environment(X2) ),
inference(spm,[status(thm)],[54,667,theory(equality)]) ).
cnf(4361,negated_conjecture,
( greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero)
| ~ greater_or_equal(esk2_0,appear(efficient_producers,X1))
| ~ greater(critical_point(esk1_0),esk2_0)
| ~ in_environment(X1,critical_point(esk1_0))
| ~ environment(X1) ),
inference(spm,[status(thm)],[1292,1125,theory(equality)]) ).
cnf(4373,negated_conjecture,
( greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero)
| ~ greater_or_equal(esk2_0,appear(efficient_producers,X1))
| $false
| ~ in_environment(X1,critical_point(esk1_0))
| ~ environment(X1) ),
inference(rw,[status(thm)],[4361,59,theory(equality)]) ).
cnf(4374,negated_conjecture,
( greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero)
| ~ greater_or_equal(esk2_0,appear(efficient_producers,X1))
| ~ in_environment(X1,critical_point(esk1_0))
| ~ environment(X1) ),
inference(cn,[status(thm)],[4373,theory(equality)]) ).
cnf(4432,negated_conjecture,
( greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero)
| ~ in_environment(esk1_0,critical_point(esk1_0))
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[4374,60,theory(equality)]) ).
cnf(4435,negated_conjecture,
( greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[4432,61,theory(equality)]) ).
cnf(4436,negated_conjecture,
( greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero)
| $false
| $false ),
inference(rw,[status(thm)],[4435,62,theory(equality)]) ).
cnf(4437,negated_conjecture,
( greater(zero,difference(growth_rate(first_movers,critical_point(esk1_0)),growth_rate(efficient_producers,critical_point(esk1_0))))
| greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero) ),
inference(cn,[status(thm)],[4436,theory(equality)]) ).
cnf(4438,negated_conjecture,
( greater(growth_rate(efficient_producers,critical_point(esk1_0)),growth_rate(first_movers,critical_point(esk1_0)))
| greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero) ),
inference(spm,[status(thm)],[72,4437,theory(equality)]) ).
cnf(4450,negated_conjecture,
( greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero)
| critical_point(X1) != critical_point(esk1_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[101,4438,theory(equality)]) ).
cnf(4467,negated_conjecture,
( greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero)
| ~ environment(esk1_0) ),
inference(er,[status(thm)],[4450,theory(equality)]) ).
cnf(4468,negated_conjecture,
( greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero)
| $false ),
inference(rw,[status(thm)],[4467,62,theory(equality)]) ).
cnf(4469,negated_conjecture,
greater(difference(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),zero),
inference(cn,[status(thm)],[4468,theory(equality)]) ).
cnf(4470,negated_conjecture,
greater(growth_rate(first_movers,esk2_0),growth_rate(efficient_producers,esk2_0)),
inference(spm,[status(thm)],[45,4469,theory(equality)]) ).
cnf(4484,negated_conjecture,
( selection_favors(first_movers,efficient_producers,esk2_0)
| ~ subpopulations(efficient_producers,first_movers,X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[38,4470,theory(equality)]) ).
cnf(4493,negated_conjecture,
( ~ subpopulations(efficient_producers,first_movers,X1,esk2_0)
| ~ environment(X1) ),
inference(sr,[status(thm)],[4484,58,theory(equality)]) ).
cnf(4494,negated_conjecture,
~ environment(esk1_0),
inference(spm,[status(thm)],[4493,356,theory(equality)]) ).
cnf(4497,negated_conjecture,
$false,
inference(rw,[status(thm)],[4494,62,theory(equality)]) ).
cnf(4498,negated_conjecture,
$false,
inference(cn,[status(thm)],[4497,theory(equality)]) ).
cnf(4499,negated_conjecture,
$false,
4498,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT034+2.p
% --creating new selector for []
% -running prover on /tmp/tmpYsk-HM/sel_MGT034+2.p_1 with time limit 29
% -prover status Theorem
% Problem MGT034+2.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT034+2.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT034+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
%
%------------------------------------------------------------------------------