TSTP Solution File: MGT026+1 by SInE---0.4
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- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : MGT026+1 : TPTP v5.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art04.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 21:05:01 EST 2010
% Result : Theorem 0.18s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 11
% Syntax : Number of formulae : 97 ( 10 unt; 0 def)
% Number of atoms : 368 ( 41 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 464 ( 193 ~; 209 |; 47 &)
% ( 1 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 152 ( 0 sgn 92 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,conjecture,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(X2,critical_point(X1)) )
=> selection_favors(efficient_producers,first_movers,X2) ),
file('/tmp/tmpLk6JS0/sel_MGT026+1.p_1',prove_l8) ).
fof(2,axiom,
! [X3,X4,X5] :
( ( greater(X3,X4)
& greater(X4,X5) )
=> greater(X3,X5) ),
file('/tmp/tmpLk6JS0/sel_MGT026+1.p_1',mp_greater_transitivity) ).
fof(3,axiom,
! [X1] :
( environment(X1)
=> greater_or_equal(critical_point(X1),appear(efficient_producers,X1)) ),
file('/tmp/tmpLk6JS0/sel_MGT026+1.p_1',mp_critical_point_after_EP) ).
fof(4,axiom,
! [X1,X6,X7,X2] :
( ( environment(X1)
& subpopulations(X6,X7,X1,X2)
& greater(growth_rate(X7,X2),growth_rate(X6,X2)) )
=> selection_favors(X7,X6,X2) ),
file('/tmp/tmpLk6JS0/sel_MGT026+1.p_1',mp1_high_growth_rates) ).
fof(5,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater_or_equal(X2,appear(efficient_producers,X1)) )
=> greater(cardinality_at_time(efficient_producers,X2),zero) ),
file('/tmp/tmpLk6JS0/sel_MGT026+1.p_1',t6) ).
fof(6,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> greater_or_equal(cardinality_at_time(first_movers,X2),zero) ),
file('/tmp/tmpLk6JS0/sel_MGT026+1.p_1',mp_first_movers_exist) ).
fof(7,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(cardinality_at_time(first_movers,X2),zero)
& greater(cardinality_at_time(efficient_producers,X2),zero) )
=> subpopulations(first_movers,efficient_producers,X1,X2) ),
file('/tmp/tmpLk6JS0/sel_MGT026+1.p_1',mp_non_empty_fm_and_ep) ).
fof(8,axiom,
! [X1,X6,X7,X2] :
( ( environment(X1)
& subpopulation(X6,X1,X2)
& subpopulation(X7,X1,X2)
& greater(cardinality_at_time(X6,X2),zero)
& cardinality_at_time(X7,X2) = zero )
=> selection_favors(X6,X7,X2) ),
file('/tmp/tmpLk6JS0/sel_MGT026+1.p_1',mp2_favour_members) ).
fof(9,axiom,
! [X3,X4] :
( greater_or_equal(X3,X4)
<=> ( greater(X3,X4)
| X3 = X4 ) ),
file('/tmp/tmpLk6JS0/sel_MGT026+1.p_1',mp_greater_or_equal) ).
fof(10,axiom,
! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2) )
=> ( subpopulation(first_movers,X1,X2)
& subpopulation(efficient_producers,X1,X2) ) ),
file('/tmp/tmpLk6JS0/sel_MGT026+1.p_1',mp_subpopulations) ).
fof(11,axiom,
! [X1,X8] :
( ( environment(X1)
& X8 = critical_point(X1) )
=> ( ~ greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& greater(X2,X8) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
file('/tmp/tmpLk6JS0/sel_MGT026+1.p_1',d1) ).
fof(12,negated_conjecture,
~ ! [X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& greater(X2,critical_point(X1)) )
=> selection_favors(efficient_producers,first_movers,X2) ),
inference(assume_negation,[status(cth)],[1]) ).
fof(13,plain,
! [X1,X8] :
( ( environment(X1)
& X8 = critical_point(X1) )
=> ( ~ greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& greater(X2,X8) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
inference(fof_simplification,[status(thm)],[11,theory(equality)]) ).
fof(14,negated_conjecture,
? [X1,X2] :
( environment(X1)
& in_environment(X1,X2)
& greater(X2,critical_point(X1))
& ~ selection_favors(efficient_producers,first_movers,X2) ),
inference(fof_nnf,[status(thm)],[12]) ).
fof(15,negated_conjecture,
? [X3,X4] :
( environment(X3)
& in_environment(X3,X4)
& greater(X4,critical_point(X3))
& ~ selection_favors(efficient_producers,first_movers,X4) ),
inference(variable_rename,[status(thm)],[14]) ).
fof(16,negated_conjecture,
( environment(esk1_0)
& in_environment(esk1_0,esk2_0)
& greater(esk2_0,critical_point(esk1_0))
& ~ selection_favors(efficient_producers,first_movers,esk2_0) ),
inference(skolemize,[status(esa)],[15]) ).
cnf(17,negated_conjecture,
~ selection_favors(efficient_producers,first_movers,esk2_0),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(18,negated_conjecture,
greater(esk2_0,critical_point(esk1_0)),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(19,negated_conjecture,
in_environment(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[16]) ).
cnf(20,negated_conjecture,
environment(esk1_0),
inference(split_conjunct,[status(thm)],[16]) ).
fof(21,plain,
! [X3,X4,X5] :
( ~ greater(X3,X4)
| ~ greater(X4,X5)
| greater(X3,X5) ),
inference(fof_nnf,[status(thm)],[2]) ).
fof(22,plain,
! [X6,X7,X8] :
( ~ greater(X6,X7)
| ~ greater(X7,X8)
| greater(X6,X8) ),
inference(variable_rename,[status(thm)],[21]) ).
cnf(23,plain,
( greater(X1,X2)
| ~ greater(X3,X2)
| ~ greater(X1,X3) ),
inference(split_conjunct,[status(thm)],[22]) ).
fof(24,plain,
! [X1] :
( ~ environment(X1)
| greater_or_equal(critical_point(X1),appear(efficient_producers,X1)) ),
inference(fof_nnf,[status(thm)],[3]) ).
fof(25,plain,
! [X2] :
( ~ environment(X2)
| greater_or_equal(critical_point(X2),appear(efficient_producers,X2)) ),
inference(variable_rename,[status(thm)],[24]) ).
cnf(26,plain,
( greater_or_equal(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[25]) ).
fof(27,plain,
! [X1,X6,X7,X2] :
( ~ environment(X1)
| ~ subpopulations(X6,X7,X1,X2)
| ~ greater(growth_rate(X7,X2),growth_rate(X6,X2))
| selection_favors(X7,X6,X2) ),
inference(fof_nnf,[status(thm)],[4]) ).
fof(28,plain,
! [X8,X9,X10,X11] :
( ~ environment(X8)
| ~ subpopulations(X9,X10,X8,X11)
| ~ greater(growth_rate(X10,X11),growth_rate(X9,X11))
| selection_favors(X10,X9,X11) ),
inference(variable_rename,[status(thm)],[27]) ).
cnf(29,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)],[28]) ).
fof(30,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X1))
| greater(cardinality_at_time(efficient_producers,X2),zero) ),
inference(fof_nnf,[status(thm)],[5]) ).
fof(31,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,X4)
| ~ greater_or_equal(X4,appear(efficient_producers,X3))
| greater(cardinality_at_time(efficient_producers,X4),zero) ),
inference(variable_rename,[status(thm)],[30]) ).
cnf(32,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[31]) ).
fof(33,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| greater_or_equal(cardinality_at_time(first_movers,X2),zero) ),
inference(fof_nnf,[status(thm)],[6]) ).
fof(34,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,X4)
| greater_or_equal(cardinality_at_time(first_movers,X4),zero) ),
inference(variable_rename,[status(thm)],[33]) ).
cnf(35,plain,
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(split_conjunct,[status(thm)],[34]) ).
fof(36,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ greater(cardinality_at_time(first_movers,X2),zero)
| ~ greater(cardinality_at_time(efficient_producers,X2),zero)
| subpopulations(first_movers,efficient_producers,X1,X2) ),
inference(fof_nnf,[status(thm)],[7]) ).
fof(37,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,X4)
| ~ greater(cardinality_at_time(first_movers,X4),zero)
| ~ greater(cardinality_at_time(efficient_producers,X4),zero)
| subpopulations(first_movers,efficient_producers,X3,X4) ),
inference(variable_rename,[status(thm)],[36]) ).
cnf(38,plain,
( subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(cardinality_at_time(efficient_producers,X2),zero)
| ~ greater(cardinality_at_time(first_movers,X2),zero)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[37]) ).
fof(39,plain,
! [X1,X6,X7,X2] :
( ~ environment(X1)
| ~ subpopulation(X6,X1,X2)
| ~ subpopulation(X7,X1,X2)
| ~ greater(cardinality_at_time(X6,X2),zero)
| cardinality_at_time(X7,X2) != zero
| selection_favors(X6,X7,X2) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(40,plain,
! [X8,X9,X10,X11] :
( ~ environment(X8)
| ~ subpopulation(X9,X8,X11)
| ~ subpopulation(X10,X8,X11)
| ~ greater(cardinality_at_time(X9,X11),zero)
| cardinality_at_time(X10,X11) != zero
| selection_favors(X9,X10,X11) ),
inference(variable_rename,[status(thm)],[39]) ).
cnf(41,plain,
( selection_favors(X1,X2,X3)
| cardinality_at_time(X2,X3) != zero
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ subpopulation(X2,X4,X3)
| ~ subpopulation(X1,X4,X3)
| ~ environment(X4) ),
inference(split_conjunct,[status(thm)],[40]) ).
fof(42,plain,
! [X3,X4] :
( ( ~ greater_or_equal(X3,X4)
| greater(X3,X4)
| X3 = X4 )
& ( ( ~ greater(X3,X4)
& X3 != X4 )
| greater_or_equal(X3,X4) ) ),
inference(fof_nnf,[status(thm)],[9]) ).
fof(43,plain,
! [X5,X6] :
( ( ~ greater_or_equal(X5,X6)
| greater(X5,X6)
| X5 = X6 )
& ( ( ~ greater(X5,X6)
& X5 != X6 )
| greater_or_equal(X5,X6) ) ),
inference(variable_rename,[status(thm)],[42]) ).
fof(44,plain,
! [X5,X6] :
( ( ~ greater_or_equal(X5,X6)
| greater(X5,X6)
| X5 = X6 )
& ( ~ greater(X5,X6)
| greater_or_equal(X5,X6) )
& ( X5 != X6
| greater_or_equal(X5,X6) ) ),
inference(distribute,[status(thm)],[43]) ).
cnf(46,plain,
( greater_or_equal(X1,X2)
| ~ greater(X1,X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
cnf(47,plain,
( X1 = X2
| greater(X1,X2)
| ~ greater_or_equal(X1,X2) ),
inference(split_conjunct,[status(thm)],[44]) ).
fof(48,plain,
! [X1,X2] :
( ~ environment(X1)
| ~ in_environment(X1,X2)
| ( subpopulation(first_movers,X1,X2)
& subpopulation(efficient_producers,X1,X2) ) ),
inference(fof_nnf,[status(thm)],[10]) ).
fof(49,plain,
! [X3,X4] :
( ~ environment(X3)
| ~ in_environment(X3,X4)
| ( subpopulation(first_movers,X3,X4)
& subpopulation(efficient_producers,X3,X4) ) ),
inference(variable_rename,[status(thm)],[48]) ).
fof(50,plain,
! [X3,X4] :
( ( subpopulation(first_movers,X3,X4)
| ~ environment(X3)
| ~ in_environment(X3,X4) )
& ( subpopulation(efficient_producers,X3,X4)
| ~ environment(X3)
| ~ in_environment(X3,X4) ) ),
inference(distribute,[status(thm)],[49]) ).
cnf(51,plain,
( subpopulation(efficient_producers,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[50]) ).
cnf(52,plain,
( subpopulation(first_movers,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(split_conjunct,[status(thm)],[50]) ).
fof(53,plain,
! [X1,X8] :
( ~ environment(X1)
| X8 != critical_point(X1)
| ( ~ greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8))
& ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater(X2,X8)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
inference(fof_nnf,[status(thm)],[13]) ).
fof(54,plain,
! [X9,X10] :
( ~ environment(X9)
| X10 != critical_point(X9)
| ( ~ greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
& ! [X11] :
( ~ subpopulations(first_movers,efficient_producers,X9,X11)
| ~ greater(X11,X10)
| greater(growth_rate(efficient_producers,X11),growth_rate(first_movers,X11)) ) ) ),
inference(variable_rename,[status(thm)],[53]) ).
fof(55,plain,
! [X9,X10,X11] :
( ( ( ~ subpopulations(first_movers,efficient_producers,X9,X11)
| ~ greater(X11,X10)
| greater(growth_rate(efficient_producers,X11),growth_rate(first_movers,X11)) )
& ~ greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10)) )
| ~ environment(X9)
| X10 != critical_point(X9) ),
inference(shift_quantors,[status(thm)],[54]) ).
fof(56,plain,
! [X9,X10,X11] :
( ( ~ subpopulations(first_movers,efficient_producers,X9,X11)
| ~ greater(X11,X10)
| greater(growth_rate(efficient_producers,X11),growth_rate(first_movers,X11))
| ~ environment(X9)
| X10 != critical_point(X9) )
& ( ~ greater(growth_rate(efficient_producers,X10),growth_rate(first_movers,X10))
| ~ environment(X9)
| X10 != critical_point(X9) ) ),
inference(distribute,[status(thm)],[55]) ).
cnf(58,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)],[56]) ).
cnf(62,plain,
( critical_point(X1) = appear(efficient_producers,X1)
| greater(critical_point(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(spm,[status(thm)],[47,26,theory(equality)]) ).
cnf(63,negated_conjecture,
( greater_or_equal(cardinality_at_time(first_movers,esk2_0),zero)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[35,19,theory(equality)]) ).
cnf(64,negated_conjecture,
( greater_or_equal(cardinality_at_time(first_movers,esk2_0),zero)
| $false ),
inference(rw,[status(thm)],[63,20,theory(equality)]) ).
cnf(65,negated_conjecture,
greater_or_equal(cardinality_at_time(first_movers,esk2_0),zero),
inference(cn,[status(thm)],[64,theory(equality)]) ).
cnf(66,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X2,X1)
| ~ environment(X2)
| ~ greater(X1,appear(efficient_producers,X2)) ),
inference(spm,[status(thm)],[32,46,theory(equality)]) ).
cnf(68,plain,
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X2) != X3
| ~ greater(X1,X3)
| ~ environment(X2)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X2,X1) ),
inference(spm,[status(thm)],[58,38,theory(equality)]) ).
cnf(70,plain,
( selection_favors(X1,first_movers,X2)
| cardinality_at_time(first_movers,X2) != zero
| ~ subpopulation(X1,X3,X2)
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ environment(X3)
| ~ in_environment(X3,X2) ),
inference(spm,[status(thm)],[41,52,theory(equality)]) ).
cnf(72,negated_conjecture,
( cardinality_at_time(first_movers,esk2_0) = zero
| greater(cardinality_at_time(first_movers,esk2_0),zero) ),
inference(spm,[status(thm)],[47,65,theory(equality)]) ).
cnf(75,plain,
( greater(X1,appear(efficient_producers,X2))
| appear(efficient_producers,X2) = critical_point(X2)
| ~ greater(X1,critical_point(X2))
| ~ environment(X2) ),
inference(spm,[status(thm)],[23,62,theory(equality)]) ).
cnf(78,plain,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| appear(efficient_producers,X2) = critical_point(X2)
| ~ in_environment(X2,X1)
| ~ environment(X2)
| ~ greater(X1,critical_point(X2)) ),
inference(spm,[status(thm)],[66,75,theory(equality)]) ).
cnf(107,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),growth_rate(first_movers,esk2_0))
| critical_point(esk1_0) != X1
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ greater(esk2_0,X1)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[68,19,theory(equality)]) ).
cnf(108,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),growth_rate(first_movers,esk2_0))
| critical_point(esk1_0) != X1
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ greater(esk2_0,X1)
| $false ),
inference(rw,[status(thm)],[107,20,theory(equality)]) ).
cnf(109,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),growth_rate(first_movers,esk2_0))
| critical_point(esk1_0) != X1
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ greater(esk2_0,X1) ),
inference(cn,[status(thm)],[108,theory(equality)]) ).
cnf(110,negated_conjecture,
( greater(growth_rate(efficient_producers,esk2_0),growth_rate(first_movers,esk2_0))
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero) ),
inference(spm,[status(thm)],[109,18,theory(equality)]) ).
cnf(116,negated_conjecture,
( selection_favors(efficient_producers,first_movers,esk2_0)
| ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| ~ environment(X1)
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero) ),
inference(spm,[status(thm)],[29,110,theory(equality)]) ).
cnf(117,negated_conjecture,
( ~ subpopulations(first_movers,efficient_producers,X1,esk2_0)
| ~ environment(X1)
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero) ),
inference(sr,[status(thm)],[116,17,theory(equality)]) ).
cnf(119,negated_conjecture,
( ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ greater(cardinality_at_time(first_movers,esk2_0),zero)
| ~ environment(X1)
| ~ in_environment(X1,esk2_0) ),
inference(spm,[status(thm)],[117,38,theory(equality)]) ).
cnf(120,negated_conjecture,
( cardinality_at_time(first_movers,esk2_0) = zero
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(spm,[status(thm)],[119,72,theory(equality)]) ).
cnf(122,negated_conjecture,
( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ in_environment(esk1_0,esk2_0)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[78,18,theory(equality)]) ).
cnf(124,negated_conjecture,
( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[122,19,theory(equality)]) ).
cnf(125,negated_conjecture,
( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| $false
| $false ),
inference(rw,[status(thm)],[124,20,theory(equality)]) ).
cnf(126,negated_conjecture,
( appear(efficient_producers,esk1_0) = critical_point(esk1_0)
| greater(cardinality_at_time(efficient_producers,esk2_0),zero) ),
inference(cn,[status(thm)],[125,theory(equality)]) ).
cnf(132,negated_conjecture,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ greater(X1,critical_point(esk1_0))
| ~ in_environment(esk1_0,X1)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[66,126,theory(equality)]) ).
cnf(140,negated_conjecture,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ greater(X1,critical_point(esk1_0))
| ~ in_environment(esk1_0,X1)
| $false ),
inference(rw,[status(thm)],[132,20,theory(equality)]) ).
cnf(141,negated_conjecture,
( greater(cardinality_at_time(efficient_producers,X1),zero)
| greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ greater(X1,critical_point(esk1_0))
| ~ in_environment(esk1_0,X1) ),
inference(cn,[status(thm)],[140,theory(equality)]) ).
cnf(153,negated_conjecture,
( greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ in_environment(esk1_0,esk2_0) ),
inference(spm,[status(thm)],[141,18,theory(equality)]) ).
cnf(155,negated_conjecture,
( greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| $false ),
inference(rw,[status(thm)],[153,19,theory(equality)]) ).
cnf(156,negated_conjecture,
greater(cardinality_at_time(efficient_producers,esk2_0),zero),
inference(cn,[status(thm)],[155,theory(equality)]) ).
cnf(169,negated_conjecture,
( cardinality_at_time(first_movers,esk2_0) = zero
| $false
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(rw,[status(thm)],[120,156,theory(equality)]) ).
cnf(170,negated_conjecture,
( cardinality_at_time(first_movers,esk2_0) = zero
| ~ in_environment(X1,esk2_0)
| ~ environment(X1) ),
inference(cn,[status(thm)],[169,theory(equality)]) ).
cnf(181,negated_conjecture,
( cardinality_at_time(first_movers,esk2_0) = zero
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[170,19,theory(equality)]) ).
cnf(182,negated_conjecture,
( cardinality_at_time(first_movers,esk2_0) = zero
| $false ),
inference(rw,[status(thm)],[181,20,theory(equality)]) ).
cnf(183,negated_conjecture,
cardinality_at_time(first_movers,esk2_0) = zero,
inference(cn,[status(thm)],[182,theory(equality)]) ).
cnf(184,plain,
( selection_favors(efficient_producers,first_movers,X1)
| cardinality_at_time(first_movers,X1) != zero
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X2,X1)
| ~ environment(X2) ),
inference(spm,[status(thm)],[70,51,theory(equality)]) ).
cnf(203,negated_conjecture,
( selection_favors(efficient_producers,first_movers,esk2_0)
| cardinality_at_time(first_movers,esk2_0) != zero
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ environment(esk1_0) ),
inference(spm,[status(thm)],[184,19,theory(equality)]) ).
cnf(204,negated_conjecture,
( selection_favors(efficient_producers,first_movers,esk2_0)
| $false
| ~ greater(cardinality_at_time(efficient_producers,esk2_0),zero)
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[203,183,theory(equality)]) ).
cnf(205,negated_conjecture,
( selection_favors(efficient_producers,first_movers,esk2_0)
| $false
| $false
| ~ environment(esk1_0) ),
inference(rw,[status(thm)],[204,156,theory(equality)]) ).
cnf(206,negated_conjecture,
( selection_favors(efficient_producers,first_movers,esk2_0)
| $false
| $false
| $false ),
inference(rw,[status(thm)],[205,20,theory(equality)]) ).
cnf(207,negated_conjecture,
selection_favors(efficient_producers,first_movers,esk2_0),
inference(cn,[status(thm)],[206,theory(equality)]) ).
cnf(208,negated_conjecture,
$false,
inference(sr,[status(thm)],[207,17,theory(equality)]) ).
cnf(209,negated_conjecture,
$false,
208,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/MGT/MGT026+1.p
% --creating new selector for []
% -running prover on /tmp/tmpLk6JS0/sel_MGT026+1.p_1 with time limit 29
% -prover status Theorem
% Problem MGT026+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/MGT/MGT026+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/MGT/MGT026+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------